jcode + Opus 4.8 on float-print
2026-07-06 · final +8.639 (398x) · 28 grades · full unedited transcript (resumed once after a network outage)
user
<system-reminder>
# Session Context
Date: 2026-07-06
Time: 02:41:53 UTC
Timezone: UTC
OS: linux
Architecture: x86_64
Jcode version: v0.36.17-dev (17478fd2) (17478fd2)
Hardware:
Machine: Dell Inc. XPS 13 9350
CPU: Intel(R) Core(TM) Ultra 7 256V
GPU: 02.0 VGA compatible controller: Intel Corporation Lunar Lake [Intel Arc Graphics 130V / 140V] (rev 04)
Memory: 15.2 GiB
Working directory: /tmp/bench4-jc-float-print/tasks/float-print
Git:
Branch: master
</system-reminder>
user
You are being benchmarked on jcode bench task float-print, in this directory.
Read spec.md. Your job: make submission/solve.c faster. Correctness on every input is a hard gate, verified by ./grade. Score = log2 doublings of instruction-count improvement over the given implementation, measured deterministically with callgrind.
The loop: edit submission/solve.c (you may add more .c/.h files in submission/), run ./grade, read your score. Grade often; every grade is logged to scores.jsonl as your score-over-time curve.
Rules: edit only files under submission/. Self-contained C17, libc only. Do not modify the grader, verifier, or corpus generator; that voids the run.
Work until you genuinely cannot improve further. Aim as high as you can; +1.0 means 2x, +2.0 means 4x. Report your final score.
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ls -la && cat spec.md"}
tool call: read
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c"}
tool result
total 8
drwxr-xr-x 5 jeremy jeremy 140 Jul 5 19:41 .
drwxr-xr-x 5 jeremy jeremy 100 Jul 5 19:41 ..
drwxr-xr-x 2 jeremy jeremy 180 Jul 5 19:41 .build
-rwxr-xr-x 1 jeremy jeremy 225 Jul 5 19:41 grade
-rw-r--r-- 1 jeremy jeremy 3296 Jul 5 19:41 spec.md
drwxr-xr-x 2 jeremy jeremy 60 Jul 5 19:41 submission
drwxr-xr-x 2 jeremy jeremy 120 Jul 5 19:41 verify
# float-print
Print a float32 as the shortest decimal string that parses back to the same bits.
This is the "shortest round-trip float printing" problem: an active research area
(Grisu 2010, Ryu 2018, Dragonbox 2020), and the printing hot path of every
serializer, REPL, and JSON encoder.
## Task
You are given a working, tested implementation in `submission/solve.c`. It is
correct and simple: it tries increasing precision until round-trip succeeds.
Make it faster. Correctness on every one of the 2^32 float bit patterns is the
gate.
```
./grade # build, verify (fast gate: ~35M stratified cases), measure, score
./grade --full # the official gate: all 2^32 bit patterns (multithreaded)
./grade --seed N # reproduce a specific cost corpus
```
Edit only files under `submission/`.
## Contract
```c
// Write a decimal representation of f into out (buffer >= 32 bytes).
// Returns the number of bytes written (no NUL required).
size_t float_print(float f, char *out);
```
Requirements on the output string, checked per value:
1. **Round-trip**: `strtof(out) == f` bit-exactly (after NUL-termination by the
harness). For -0.0f the output must parse to -0.0f (sign preserved).
2. **Shortest**: the number of significant decimal digits used is the minimum
for which any round-tripping representation of `f` exists.
3. **Format**: `-?D(.D+)?(e[+-]?DD?)?` where D are digits, i.e. something
`strtof` accepts: an optional minus, digits with optional decimal point,
optional exponent. No leading `+`, no leading zeros on the integer part
(except a single `0` before `.`), no trailing zeros in the fraction.
`inf`, `-inf`, `nan` (exactly these, lowercase) for infinities and NaNs.
4. Length <= 31 bytes.
The verifier checks 1, 2 and 4 exactly, and 3 by a strict format automaton.
Values with the same shortest digit count may have several valid strings
(e.g. exponent vs plain notation); any compliant one passes.
## Verification (the gate)
- Default gate (fast, ~seconds, multithreaded): all 2^24 exponent-stratified
patterns (every exponent x 2^15 mantissa strides), every power of tw
... [1207 chars truncated]
tool result
1 // solve.c — the given implementation of float_print.
2 // Correct and simple: try increasing digit counts with snprintf until the
3 // result round-trips. This is what a careful programmer writes first, and
4 // it is slow. Make it faster. See ../spec.md. Grade with ../grade.
5 #include <stdio.h>
6 #include <stdlib.h>
7 #include <string.h>
8 #include <math.h>
9 #include <stdint.h>
10
11 size_t float_print(float f, char *out) {
12 // Specials.
13 if (isnan(f)) { memcpy(out, "nan", 3); return 3; }
14 if (isinf(f)) {
15 if (f < 0) { memcpy(out, "-inf", 4); return 4; }
16 memcpy(out, "inf", 3);
17 return 3;
18 }
19 if (f == 0.0f) {
20 // preserve sign of zero
21 if (signbit(f)) { memcpy(out, "-0", 2); return 2; }
22 out[0] = '0';
23 return 1;
24 }
25
26 // Try shortest first: %.<p>g produces p significant digits.
27 char buf[64];
28 for (int prec = 1; prec <= 9; prec++) {
29 int n = snprintf(buf, sizeof(buf), "%.*g", prec, (double)f);
30 if (n <= 0) continue;
31 float back = strtof(buf, NULL);
32 if (back == f) {
33 // normalize: %g may emit exponents like e+05; strip leading
34 // zeros in the exponent to keep the format tight (e+05 -> e+5).
35 char *e = memchr(buf, 'e', (size_t)n);
36 if (e) {
37 char *p = e + 1;
38 char sign = 0;
39 if (*p == '+' || *p == '-') { sign = *p; p++; }
40 while (*p == '0' && p[1] != '\0') {
41 memmove(p, p + 1, (size_t)(n - (p - buf)));
42 n--;
43 }
44 if (sign == '+') {
45 // keep '+'? strtof accepts both; keep as-is (allowed).
46 }
47 }
48 memcpy(out, buf, (size_t)n);
49 return (size_t)n;
50 }
51 }
52 // 9 significant digits always round-trips for float32.
53 int n = snprintf(buf, sizeof(buf), "%.9g", (double)f);
54 memcpy(out, buf, (size_t)n);
55 return (size_t)n;
56 }
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat grade && ls verify .build && head -50 verify/*.c 2>/dev/null | head -100"}
tool result
#!/usr/bin/env python3
import os, sys
sys.path.insert(0, os.path.join(os.path.dirname(os.path.abspath(__file__)), "..", "..", "harness"))
from grade import main
main(os.path.dirname(os.path.abspath(__file__)), "float_print")
.build:
callgrind.runner_given.out
callgrind.runner.out
corpus_7.bin
given_cost_7.json
runner
runner_given
verify
verify:
gen_corpus.py
given.c
runner.c
verify.c
==> verify/given.c <==
// solve.c — the given implementation of float_print.
// Correct and simple: try increasing digit counts with snprintf until the
// result round-trips. This is what a careful programmer writes first, and
// it is slow. Make it faster. See ../spec.md. Grade with ../grade.
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <stdint.h>
size_t given_float_print(float f, char *out) {
// Specials.
if (isnan(f)) { memcpy(out, "nan", 3); return 3; }
if (isinf(f)) {
if (f < 0) { memcpy(out, "-inf", 4); return 4; }
memcpy(out, "inf", 3);
return 3;
}
if (f == 0.0f) {
// preserve sign of zero
if (signbit(f)) { memcpy(out, "-0", 2); return 2; }
out[0] = '0';
return 1;
}
// Try shortest first: %.<p>g produces p significant digits.
char buf[64];
for (int prec = 1; prec <= 9; prec++) {
int n = snprintf(buf, sizeof(buf), "%.*g", prec, (double)f);
if (n <= 0) continue;
float back = strtof(buf, NULL);
if (back == f) {
// normalize: %g may emit exponents like e+05; strip leading
// zeros in the exponent to keep the format tight (e+05 -> e+5).
char *e = memchr(buf, 'e', (size_t)n);
if (e) {
char *p = e + 1;
char sign = 0;
if (*p == '+' || *p == '-') { sign = *p; p++; }
while (*p == '0' && p[1] != '\0') {
memmove(p, p + 1, (size_t)(n - (p - buf)));
n--;
}
if (sign == '+') {
// keep '+'? strtof accepts both; keep as-is (allowed).
}
}
memcpy(out, buf, (size_t)n);
return (size_t)n;
}
==> verify/runner.c <==
// runner.c — cost driver for float-print. Reads uint32 bit patterns,
// calls float_print on each. Run under callgrind with --toggle-collect.
#include <stdint.h>
#include <stddef.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#ifdef RUNNER_G
... [1412 chars truncated]
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && sed -n 1,200p verify/verify.c"}
tool result
// verify.c — correctness gate for float-print.
// For each tested bit pattern:
// 1. run float_print, NUL-terminate, length check
// 2. format check (strict automaton)
// 3. round-trip check: strtof(out) bit-equals input
// 4. shortest check: significant digits used == minimal round-tripping count
// (minimal count computed independently with snprintf %.*g)
// Modes: default = stratified fast gate (~19M cases), --full = all 2^32.
// Multithreaded. Exit 0 = pass; prints first counterexample otherwise.
#include <stdint.h>
#include <stddef.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <pthread.h>
#include <stdatomic.h>
size_t float_print(float f, char *out);
static atomic_ullong n_cases;
static atomic_int failed;
static pthread_mutex_t report_mu = PTHREAD_MUTEX_INITIALIZER;
// ---- independent minimal-digit oracle ----
static int min_digits(float f) {
char buf[64];
for (int p = 1; p <= 9; p++) {
snprintf(buf, sizeof(buf), "%.*g", p, (double)f);
if (strtof(buf, NULL) == f) return p;
}
return 9;
}
// ---- strict format automaton ----
// -?D+(.D+)?(e[+-]?D+)? with: no leading zeros on integer part unless it is
// exactly "0"; fraction has no trailing zero; exponent has no leading zero;
// returns significant digit count, or -1 if malformed.
static int check_format(const char *s, size_t n) {
size_t i = 0;
if (i < n && s[i] == '-') i++;
// integer part
size_t int_start = i;
while (i < n && s[i] >= '0' && s[i] <= '9') i++;
size_t int_len = i - int_start;
if (int_len == 0) return -1;
if (int_len > 1 && s[int_start] == '0') return -1; // leading zero
size_t frac_len = 0;
if (i < n && s[i] == '.') {
i++;
size_t fs = i;
while (i < n && s[i] >= '0' && s[i] <= '9') i++;
frac_len = i - fs;
if (frac_len == 0) return -1;
if (s[i - 1] == '0') return -1; // trailing zero in fraction
}
if (i < n && (s[i] == 'e' || s[i] == 'E')) {
if (s[i] == 'E') return -1; // lowercase only
i++;
if (i < n && (s[i] == '+' || s[i] == '-')) i++;
size_t es = i;
while (i < n && s[i] >= '0' && s[i] <= '9') i++;
size_t elen = i - es;
if (elen == 0) return -1;
if (elen > 1 && s[es] == '0') return -1; // leading zero in exponent
}
if (i != n) return -1;
// significant digits: all digits of int+frac, minus leading zeros
// (a leading "0.
... [4507 chars truncated]
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print && ls harness 2>/dev/null; ls ../../harness 2>/dev/null; find / -maxdepth 4 -name \"grade.py\" -path \"*harness*\" 2>/dev/null | head"}
tool result
grade.py
__pycache__
/tmp/bench4-cc-utf16-transcode/harness/grade.py
/tmp/bench4-jc-utf16-transcode/harness/grade.py
/tmp/bench4-cc-float-print/harness/grade.py
/tmp/bench4-jc-float-print/harness/grade.py
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print && sed -n 1,120p harness/grade.py"}
tool result
#!/usr/bin/env python3
"""Shared grader for jcode bench tasks.
Pipeline: build -> verify (gate) -> callgrind cost (submission + frozen given,
same corpus: paired) -> score = log2(given/sub). Appends to scores.jsonl.
Each task directory provides: submission/*.c, verify/verify.c (+reference.c
optional), verify/given.c (frozen given impl, function prefixed given_),
verify/runner.c (honors -DRUNNER_GIVEN), verify/gen_corpus.py, and a small
`grade` wrapper exporting TASK_FN (the measured function name).
"""
import argparse, json, math, os, re, subprocess, sys, time, glob
def sh(cmd, **kw):
return subprocess.run(cmd, check=True, capture_output=True, text=True, **kw)
def main(here, fn, extra_cflags=None, verify_args=None):
SUB = os.path.join(here, "submission")
VER = os.path.join(here, "verify")
BUILD = os.path.join(here, ".build")
CFLAGS = ["-O2", "-std=c17", "-fno-lto", "-g"] + (extra_cflags or [])
ap = argparse.ArgumentParser()
ap.add_argument("--seed", type=int, default=None)
ap.add_argument("--full", action="store_true",
help="run the full exhaustive gate (if the task has one)")
ap.add_argument("--quiet", action="store_true")
args = ap.parse_args()
seed = args.seed if args.seed is not None else int(time.time()) % 100000
os.makedirs(BUILD, exist_ok=True)
sub_srcs = sorted(glob.glob(os.path.join(SUB, "*.c")))
if not sub_srcs:
sys.exit("no .c files in submission/")
t0 = time.time()
ref = os.path.join(VER, "reference.c")
refs = [ref] if os.path.exists(ref) else []
sh(["cc", *CFLAGS, "-I", SUB, *sub_srcs, *refs,
os.path.join(VER, "verify.c"), "-o", os.path.join(BUILD, "verify"),
"-lm", "-lpthread"])
sh(["cc", *CFLAGS, "-I", SUB, *sub_srcs,
os.path.join(VER, "runner.c"), "-o", os.path.join(BUILD, "runner"), "-lm"])
if not os.path.exists(os.path.join(BUILD, "runner_given")):
sh(["cc", *CFLAGS, "-DRUNNER_GIVEN",
os.path.join(VER, "given.c"), os.path.join(VER, "runner.c"),
"-o", os.path.join(BUILD, "runner_given"), "-lm"])
t_build = time.time() - t0
t0 = time.time()
vargs = [str(seed)] + (["--full"] if args.full else []) + (verify_args or [])
r = subprocess.run([os.path.join(BUILD, "verify"), *vargs],
capture_output=True, text=True)
if r.returncode != 0:
print(r.stdout, end="")
print(r.stderr, end="", file=sys.stderr)
print("grade
... [2141 chars truncated]
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\ndef pow5bits(e): return ((e*1217359)>>19)+1\n\ninv=[]\nfor i in range(31):\n k = pow5bits(i) + 59 - 1\n inv.append((2**k)//(5**i)+1)\nsp=[]\nfor i in range(47):\n k = pow5bits(i) - 61\n v = (5**i) >> k if k>=0 else (5**i) << (-k)\n sp.append(v)\nprint(\"static const uint64_t POW5_INV[31] = {\")\nfor i in range(0,31,3):\n print(\" \" + \", \".join(f\"{x}u\" for x in inv[i:i+3]) + \",\")\nprint(\"};\")\nprint(\"static const uint64_t POW5[47] = {\")\nfor i in range(0,47,3):\n print(\" \" + \", \".join(f\"{x}u\" for x in sp[i:i+3]) + \",\")\nprint(\"};\")\nEOF"}
tool result
static const uint64_t POW5_INV[31] = {
576460752303423489u, 461168601842738791u, 368934881474191033u,
295147905179352826u, 472236648286964522u, 377789318629571618u,
302231454903657294u, 483570327845851670u, 386856262276681336u,
309485009821345069u, 495176015714152110u, 396140812571321688u,
316912650057057351u, 507060240091291761u, 405648192073033409u,
324518553658426727u, 519229685853482763u, 415383748682786211u,
332306998946228969u, 531691198313966350u, 425352958651173080u,
340282366920938464u, 544451787073501542u, 435561429658801234u,
348449143727040987u, 557518629963265579u, 446014903970612463u,
356811923176489971u, 570899077082383953u, 456719261665907162u,
365375409332725730u,
};
static const uint64_t POW5[47] = {
1152921504606846976u, 1441151880758558720u, 1801439850948198400u,
2251799813685248000u, 1407374883553280000u, 1759218604441600000u,
2199023255552000000u, 1374389534720000000u, 1717986918400000000u,
2147483648000000000u, 1342177280000000000u, 1677721600000000000u,
2097152000000000000u, 1310720000000000000u, 1638400000000000000u,
2048000000000000000u, 1280000000000000000u, 1600000000000000000u,
2000000000000000000u, 1250000000000000000u, 1562500000000000000u,
1953125000000000000u, 1220703125000000000u, 1525878906250000000u,
1907348632812500000u, 1192092895507812500u, 1490116119384765625u,
1862645149230957031u, 1164153218269348144u, 1455191522836685180u,
1818989403545856475u, 2273736754432320594u, 1421085471520200371u,
1776356839400250464u, 2220446049250313080u, 1387778780781445675u,
1734723475976807094u, 2168404344971008868u, 1355252715606880542u,
1694065894508600678u, 2117582368135750847u, 1323488980084844279u,
1654361225106055349u, 2067951531382569187u, 1292469707114105741u,
1615587133892632177u, 2019483917365790221u,
};
--- Command finished with exit code: 0 ---
assistant
I'll implement a Ryu-style shortest float printer. First, let me check the baseline score.
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -5", "timeout": 600000}
tool result
build 0.4s
verify 15.2s PASS
measure 7.8s 7,923,401,327 instructions (given: 7,923,401,327)
SCORE +0.0000 (1.000x)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat verify/gen_corpus.py"}
tool result
#!/usr/bin/env python3
"""gen_corpus.py — cost corpus for float-print: 200k float32 bit patterns.
Regimes: uniform bits 30%, round decimals 25%, small ints 15%, [0,1) 15%,
huge/tiny exponents 10%, denormals 5%. Output: raw little-endian uint32s.
Usage: gen_corpus.py SEED OUTFILE"""
import random, struct, sys
def f2b(f):
return struct.unpack('<I', struct.pack('<f', f))[0]
def main():
seed, out = int(sys.argv[1]), sys.argv[2]
rng = random.Random(seed)
N = 50000
vals = []
for _ in range(int(N*0.30)):
b = rng.getrandbits(32)
# avoid nan/inf dominating: re-roll exponent 255
while (b >> 23) & 0xFF == 0xFF:
b = rng.getrandbits(32)
vals.append(b)
for _ in range(int(N*0.25)):
mant = rng.randrange(1, 10**rng.randrange(1, 7))
exp = rng.randrange(-6, 7)
v = float(mant) * (10.0 ** exp)
vals.append(f2b(struct.unpack('<f', struct.pack('<f', v))[0]))
for _ in range(int(N*0.15)):
vals.append(f2b(float(rng.randrange(0, 1 << 20))))
for _ in range(int(N*0.15)):
vals.append(f2b(struct.unpack('<f', struct.pack('<f', rng.random()))[0]))
for _ in range(int(N*0.10)):
ex = rng.choice(list(range(1, 20)) + list(range(230, 255)))
b = (rng.getrandbits(1) << 31) | (ex << 23) | rng.getrandbits(23)
vals.append(b)
while len(vals) < N:
vals.append((rng.getrandbits(1) << 31) | rng.getrandbits(23)) # denormal
rng.shuffle(vals)
with open(out, 'wb') as f:
for v in vals:
f.write(struct.pack('<I', v))
print(f"corpus: {len(vals)} floats, seed {seed}")
if __name__ == '__main__':
main()
--- Command finished with exit code: 0 ---
tool call: write
{"content": "// solve.c \u2014 fast shortest round-trip float32 printing (Ryu-style).\n// Based on the Ryu algorithm (Ulf Adams, 2018), f2s 32-bit variant,\n// with a fast path for exactly-representable small integers and a\n// custom compact formatter.\n#include <stdint.h>\n#include <stddef.h>\n#include <string.h>\n#include <stdbool.h>\n\n// ---- tables ----\n// FLOAT_POW5_INV_SPLIT[q] = floor(2^(59 + pow5bits(q) - 1) / 5^q) + 1\nstatic const uint64_t POW5_INV[31] = {\n 576460752303423489u, 461168601842738791u, 368934881474191033u,\n 295147905179352826u, 472236648286964522u, 377789318629571618u,\n 302231454903657294u, 483570327845851670u, 386856262276681336u,\n 309485009821345069u, 495176015714152110u, 396140812571321688u,\n 316912650057057351u, 507060240091291761u, 405648192073033409u,\n 324518553658426727u, 519229685853482763u, 415383748682786211u,\n 332306998946228969u, 531691198313966350u, 425352958651173080u,\n 340282366920938464u, 544451787073501542u, 435561429658801234u,\n 348449143727040987u, 557518629963265579u, 446014903970612463u,\n 356811923176489971u, 570899077082383953u, 456719261665907162u,\n 365375409332725730u,\n};\n// FLOAT_POW5_SPLIT[i] = 5^i scaled to exactly 61 bits\nstatic const uint64_t POW5[47] = {\n 1152921504606846976u, 1441151880758558720u, 1801439850948198400u,\n 2251799813685248000u, 1407374883553280000u, 1759218604441600000u,\n 2199023255552000000u, 1374389534720000000u, 1717986918400000000u,\n 2147483648000000000u, 13421772800000
... [8839 chars truncated]
tool result
Updated /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c (301 lines):
1- // solve.c — the given implementation of float_print.
2- // Correct and simple: try increasing digit counts with snprintf until the
3- // result round-trips. This is what a careful programmer writes first, and
4- // it is slow. Make it faster. See ../spec.md. Grade with ../grade.
5- #include <stdio.h>
6- #include <stdlib.h>
1+ // solve.c — fast shortest round-trip float32 printing (Ryu-style).
2+ // Based on the Ryu algorithm (Ulf Adams, 2018), f2s 32-bit variant,
3+ // with a fast path for exactly-representable small integers and a
4+ // custom compact formatter.
5+ #include <stdint.h>
6+ #include <stddef.h>
8- #include <math.h>
9- #include <stdint.h>
8+ #include <stdbool.h>
10+ // ---- tables ----
11+ // FLOAT_POW5_INV_SPLIT[q] = floor(2^(59 + pow5bits(q) - 1) / 5^q) + 1
12+ static const uint64_t POW5_INV[31] = {
13+ 576460752303423489u, 461168601842738791u, 368934881474191033u,
14+ 295147905179352826u, 472236648286964522u, 377789318629571618u,
...
assistant
Now let me extend the POW5 table by one entry to guard the `i+1` access, then test:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 -c \"\ndef pow5bits(e): return ((e*1217359)>>19)+1\ni=47\nk = pow5bits(i)-61\nv=(5**i)>>k if k>=0 else (5**i)<<(-k)\nprint(v)\""}
tool result
1262177448353618888
--- Command finished with exit code: 0 ---
assistant
Now add trailing-zero stripping after rounding (round-up can create trailing zeros, which would break the strict format in the fraction case):
tool call: edit
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "new_string": " output = vr + (vr == vm || lastRemovedDigit >= 5);\n }\n // Rounding up may have introduced trailing zeros; strip them so the\n // fraction never ends in '0' and the digit count stays minimal.\n while (output % 10 == 0) { output /= 10; ++removed; }\n const int32_t exp10 = e10 + removed; // exponent of last digit", "old_string": " output = vr + (vr == vm || lastRemovedDigit >= 5);\n }\n const int32_t exp10 = e10 + removed; // exponent of last digit"}
tool result
Edited /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c: replaced 1 occurrence(s)
251+ // Rounding up may have introduced trailing zeros; strip them so the
252+ // fraction never ends in '0' and the digit count stays minimal.
253+ while (output % 10 == 0) { output /= 10; ++removed; }
Context after edit (lines 246-257):
246│ vr /= 10; vp /= 10; vm /= 10;
247│ ++removed;
248│ }
249│ output = vr + (vr == vm || lastRemovedDigit >= 5);
250│ }
251│ // Rounding up may have introduced trailing zeros; strip them so the
252│ // fraction never ends in '0' and the digit count stays minimal.
253│ while (output % 10 == 0) { output /= 10; ++removed; }
254│ const int32_t exp10 = e10 + removed; // exponent of last digit
255│ const uint32_t olength = decimalLength9(output);
256│ const int32_t kk = exp10 + (int32_t)olength - 1; // exponent of first digit
257│
assistant
I need to extend POW5 to 48 entries since the `i+1` access can reach index 47:
tool call: edit
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "new_string": "static const uint64_t POW5[48] = {", "old_string": "static const uint64_t POW5[47] = {"}
tool call: edit
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "new_string": " 1615587133892632177u, 2019483917365790221u, 1262177448353618888u,\n};", "old_string": " 1615587133892632177u, 2019483917365790221u,\n};"}
tool result
Edited /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c: replaced 1 occurrence(s)
26- static const uint64_t POW5[47] = {
26+ static const uint64_t POW5[48] = {
Context after edit (lines 23-29):
23│ 365375409332725730u,
24│ };
25│ // FLOAT_POW5_SPLIT[i] = 5^i scaled to exactly 61 bits
26│ static const uint64_t POW5[48] = {
27│ 1152921504606846976u, 1441151880758558720u, 1801439850948198400u,
28│ 2251799813685248000u, 1407374883553280000u, 1759218604441600000u,
29│ 2199023255552000000u, 1374389534720000000u, 1717986918400000000u,
tool result
Edited /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c: replaced 1 occurrence(s)
42- 1615587133892632177u, 2019483917365790221u,
42+ 1615587133892632177u, 2019483917365790221u, 1262177448353618888u,
Context after edit (lines 39-46):
39│ 1734723475976807094u, 2168404344971008868u, 1355252715606880542u,
40│ 1694065894508600678u, 2117582368135750847u, 1323488980084844279u,
41│ 1654361225106055349u, 2067951531382569187u, 1292469707114105741u,
42│ 1615587133892632177u, 2019483917365790221u, 1262177448353618888u,
43│ };
44│
45│ static const char DIGIT_TABLE[200] =
46│ "00010203040506070809"
assistant
Let me quickly self-test against a brute-force oracle before grading:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -5", "timeout": 600000}
tool result
build 0.9s
verify 4.7s PASS
measure 4.3s 58,951,144 instructions (given: 7,923,401,327)
SCORE +7.0705 (134.406x)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --full --seed 7 2>&1 | tail -4", "run_in_background": true, "timeout": 3600000}
tool result
Command started in background.
Task ID: 1233219a36
Name: cd /tmp/bench4-jc-float-prin
Output file: /tmp/jcode-bg-tasks/1233219a36.output
Status file: /tmp/jcode-bg-tasks/1233219a36.status.json
You will be notified when the task completes.
To wait for completion/checkpoints: use the `bg` tool with action="wait" and task_id="1233219a36"
To check progress immediately: use the `bg` tool with action="status" and task_id="1233219a36"
To see output: use the `read` tool on the output file, or `bg` with action="output"
assistant
Full gate running in background. +7.07 already. Let me profile to push further:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | head -30"}
tool result
--------------------------------------------------------------------------------
Profile data file 'callgrind.runner.out' (creator: callgrind-3.25.1)
--------------------------------------------------------------------------------
I1 cache:
D1 cache:
LL cache:
Timerange: Basic block 0 - 1535034
Trigger: Program termination
Profiled target: /tmp/bench4-jc-float-print/tasks/float-print/.build/runner /tmp/bench4-jc-float-print/tasks/float-print/.build/corpus_7.bin (PID 3295805, part 1)
Events recorded: Ir
Events shown: Ir
Event sort order: Ir
Thresholds: 99
Include dirs:
User annotated:
Auto-annotation: on
--------------------------------------------------------------------------------
Ir
--------------------------------------------------------------------------------
11,142,349 (100.0%) PROGRAM TOTALS
--------------------------------------------------------------------------------
Ir file:function
--------------------------------------------------------------------------------
11,089,362 (99.52%) /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c:float_print [/tmp/bench4-jc-float-print/tasks/float-print/.build/runner]
--------------------------------------------------------------------------------
-- Auto-annotated source: /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c
--------------------------------------------------------------------------------
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | sed -n 30,140p"}
tool result
--------------------------------------------------------------------------------
Ir
-- line 49 ----------------------------------------
. "30313233343536373839"
. "40414243444546474849"
. "50515253545556575859"
. "60616263646566676869"
. "70717273747576777879"
. "80818283848586878889"
. "90919293949596979899";
.
22,008 ( 0.20%) static inline int32_t log10Pow2(int32_t e) { return (int32_t)(((uint32_t)e * 78913) >> 18); }
72,669 ( 0.65%) static inline int32_t log10Pow5(int32_t e) { return (int32_t)(((uint32_t)e * 732923) >> 20); }
82,572 ( 0.74%) static inline int32_t pow5bits(int32_t e) { return (int32_t)((((uint32_t)e * 1217359) >> 19) + 1); }
.
. static inline uint32_t mulShift32(uint32_t m, uint64_t factor, int32_t shift) {
1,146,577 (10.29%) return (uint32_t)(((unsigned __int128)m * factor) >> shift);
. }
.
. static inline uint32_t pow5Factor32(uint32_t value) {
11,257 ( 0.10%) uint32_t count = 0;
. for (;;) {
33,812 ( 0.30%) uint32_t q = value / 5;
12,790 ( 0.11%) uint32_t r = value % 5;
21,506 ( 0.19%) if (r != 0) break;
. value = q;
13,140 ( 0.12%) ++count;
. }
. return count;
. }
. static inline bool multipleOfPowerOf5_32(uint32_t value, uint32_t p) {
1,193 ( 0.01%) return pow5Factor32(value) >= p;
. }
. static inline bool multipleOfPowerOf2_32(uint32_t value, uint32_t p) {
31,070 ( 0.28%) return (value & ((1u << p) - 1)) == 0;
. }
.
. static inline uint32_t decimalLength9(uint32_t v) {
81,009 ( 0.73%) if (v >= 100000000) return 9;
141,884 ( 1.27%) if (v >= 10000000) return 8;
121,169 ( 1.09%) if (v >= 1000000) return 7;
45,482 ( 0.41%) if (v >= 100000) return 6;
61,516 ( 0.55%) if (v >= 10000) return 5;
14,374 ( 0.13%) if (v >= 1000) return 4;
10,301 ( 0.09%) if (v >= 100) return 3;
6,566 ( 0.06%) if (v >= 10) return 2;
. return 1;
. }
.
. // Write the decimal digits of v (which has olength dig
... [2947 chars truncated]
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | sed -n 140,300p"}
tool result
68,554 ( 0.62%) if (ieeeExponent == 0) {
. e2 = 1 - 127 - 23 - 2;
. m2 = ieeeMantissa;
. } else {
. e2 = (int32_t)ieeeExponent - 127 - 23 - 2;
176,135 ( 1.58%) m2 = (1u << 23) | ieeeMantissa;
. }
. const bool even = (m2 & 1) == 0;
. const bool acceptBounds = even;
.
40,369 ( 0.36%) const uint32_t mv = 4 * m2;
70,454 ( 0.63%) const uint32_t mp = 4 * m2 + 2;
246,589 ( 2.21%) const uint32_t mmShift = ieeeMantissa != 0 || ieeeExponent <= 1;
105,681 ( 0.95%) const uint32_t mm = 4 * m2 - 1 - mmShift;
.
. uint32_t vr, vp, vm;
. int32_t e10;
1,458 ( 0.01%) bool vmIsTrailingZeros = false;
. bool vrIsTrailingZeros = false;
39,167 ( 0.35%) uint8_t lastRemovedDigit = 0;
105,681 ( 0.95%) if (e2 >= 0) {
. const uint32_t q = (uint32_t)log10Pow2(e2);
11,004 ( 0.10%) e10 = (int32_t)q;
. const int32_t k = 59 + pow5bits((int32_t)q) - 1;
33,012 ( 0.30%) const int32_t i = -e2 + (int32_t)q + k;
11,004 ( 0.10%) vr = mulShift32(mv, POW5_INV[q], i);
. vp = mulShift32(mp, POW5_INV[q], i);
38 ( 0.00%) vm = mulShift32(mm, POW5_INV[q], i);
104,365 ( 0.94%) if (q != 0 && (vp - 1) / 10 <= vm / 10) {
3,260 ( 0.03%) const int32_t l = 59 + pow5bits((int32_t)(q - 1)) - 1;
13,040 ( 0.12%) lastRemovedDigit = (uint8_t)(mulShift32(mv, POW5_INV[q - 1], -e2 + (int32_t)q - 1 + l) % 10);
. }
19,738 ( 0.18%) if (q <= 9) {
36,855 ( 0.33%) if (mv % 5 == 0) {
1,125 ( 0.01%) vrIsTrailingZeros = multipleOfPowerOf5_32(mv, q);
7,674 ( 0.07%) } else if (acceptBounds) {
. vmIsTrailingZeros = multipleOfPowerOf5_32(mm, q);
. } else {
1,193 ( 0.01%) vp -= multipleOfPowerOf5_32(mp, q);
. }
. }
. } else {
. const uint32_t q = (uint32_t)log10Pow5(-e2);
75,240 ( 0.68%) e10 = (int32_t)q + e2;
96,892 ( 0.87%) const int32_t i = -e2 - (int32_t)q;
24,223 ( 0.22%) const int32_t k = pow5bits(i) - 61;
48,446 ( 0.43%) int32_t j = (int32_t)q - k;
72,669 ( 0.65%
... [5500 chars truncated]
tool call: bash
{"command": "cd /tmp && curl -sL https://raw.githubusercontent.com/abolz/Drachennest/master/src/schubfach_32.cc -o schubfach_32.cc && wc -l schubfach_32.cc && head -50 schubfach_32.cc"}
tool result
700 schubfach_32.cc
// Copyright 2020 Alexander Bolz
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt)
#include "schubfach_32.h"
//--------------------------------------------------------------------------------------------------
// This file contains an implementation of the Schubfach algorithm as described in
//
// [1] Raffaello Giulietti, "The Schubfach way to render doubles",
// https://drive.google.com/open?id=1luHhyQF9zKlM8yJ1nebU0OgVYhfC6CBN
//--------------------------------------------------------------------------------------------------
#include <cassert>
#include <cstdint>
#include <cstdlib>
#include <cstring>
#include <limits>
#if _MSC_VER
#include <intrin.h>
#endif
#ifndef SF_ASSERT
#define SF_ASSERT(X) assert(X)
#endif
//==================================================================================================
//
//==================================================================================================
template <typename Dest, typename Source>
static inline Dest ReinterpretBits(Source source)
{
static_assert(sizeof(Dest) == sizeof(Source), "size mismatch");
Dest dest;
std::memcpy(&dest, &source, sizeof(Source));
return dest;
}
namespace {
struct Single
{
static_assert(std::numeric_limits<float>::is_iec559
&& std::numeric_limits<float>::digits == 24
&& std::numeric_limits<float>::max_exponent == 128,
"IEEE-754 single-precision implementation required");
using value_type = float;
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp && sed -n 50,400p schubfach_32.cc"}
tool result
using value_type = float;
using bits_type = uint32_t;
// static constexpr int32_t MaxDigits10 = std::numeric_limits<value_type>::max_digits10;
static constexpr int32_t SignificandSize = std::numeric_limits<value_type>::digits; // = p (includes the hidden bit)
static constexpr int32_t ExponentBias = std::numeric_limits<value_type>::max_exponent - 1 + (SignificandSize - 1);
// static constexpr int32_t MaxExponent = std::numeric_limits<value_type>::max_exponent - 1 - (SignificandSize - 1);
// static constexpr int32_t MinExponent = std::numeric_limits<value_type>::min_exponent - 1 - (SignificandSize - 1);
static constexpr bits_type MaxIeeeExponent = bits_type{2 * std::numeric_limits<value_type>::max_exponent - 1};
static constexpr bits_type HiddenBit = bits_type{1} << (SignificandSize - 1); // = 2^(p-1)
static constexpr bits_type SignificandMask = HiddenBit - 1; // = 2^(p-1) - 1
static constexpr bits_type ExponentMask = MaxIeeeExponent << (SignificandSize - 1);
static constexpr bits_type SignMask = ~(~bits_type{0} >> 1);
bits_type bits;
explicit Single(bits_type bits_) : bits(bits_) {}
explicit Single(value_type value) : bits(ReinterpretBits<bits_type>(value)) {}
bits_type PhysicalSignificand() const {
return bits & SignificandMask;
}
bits_type PhysicalExponent() const {
return (bits & ExponentMask) >> (SignificandSize - 1);
}
bool IsFinite() const {
return (bits & ExponentMask) != ExponentMask;
}
bool IsInf() const {
return (bits & ExponentMask) == ExponentMask && (bits & SignificandMask) == 0;
}
bool IsNaN() const {
return (bits & ExponentMask) == ExponentMask && (bits & SignificandMask) != 0;
}
bool IsZero() const {
return (bits & ~SignMask) == 0;
}
bool SignBit() const {
return (bits & SignMask) != 0;
}
};
} // namespace
//==================================================================================================
//
//==================================================================================================
// Returns floor(x / 2^n).
//
// Technically, right-shift of negative integers is implementation defined...
// Should easily be optimized into SAR (or equivalent) instruction.
static inline int32_t FloorDivPow2(int32_t x, int32_t n)
{
#if 0
return x < 0 ? ~(~x >> n) : (x >> n);
#else
retur
... [8812 chars truncated]
tool call: bash
{"command": "cd /tmp && sed -n 400,700p schubfach_32.cc"}
tool result
'3','0','3','1','3','2','3','3','3','4','3','5','3','6','3','7','3','8','3','9',
'4','0','4','1','4','2','4','3','4','4','4','5','4','6','4','7','4','8','4','9',
'5','0','5','1','5','2','5','3','5','4','5','5','5','6','5','7','5','8','5','9',
'6','0','6','1','6','2','6','3','6','4','6','5','6','6','6','7','6','8','6','9',
'7','0','7','1','7','2','7','3','7','4','7','5','7','6','7','7','7','8','7','9',
'8','0','8','1','8','2','8','3','8','4','8','5','8','6','8','7','8','8','8','9',
'9','0','9','1','9','2','9','3','9','4','9','5','9','6','9','7','9','8','9','9',
};
SF_ASSERT(digits <= 99);
std::memcpy(buf, &Digits100[2 * digits], 2);
}
static inline int32_t TrailingZeros_2Digits(uint32_t digits)
{
static constexpr int8_t TrailingZeros100[100] = {
2, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
};
SF_ASSERT(digits <= 99);
return TrailingZeros100[digits];
}
static inline int32_t PrintDecimalDigitsBackwards(char* buf, uint32_t output)
{
int32_t tz = 0; // number of trailing zeros removed.
int32_t nd = 0; // number of decimal digits processed.
// At most 9 digits remaining
if (output >= 10000)
{
const uint32_t q = output / 10000;
const uint32_t r = output % 10000;
output = q;
buf -= 4;
if (r != 0)
{
const uint32_t rH = r / 100;
const uint32_t rL = r % 100;
Utoa_2Digits(buf + 0, rH);
Utoa_2Digits(buf + 2, rL);
tz = TrailingZeros_2Digits(rL == 0 ? rH : rL) + (rL == 0 ? 2 : 0);
}
else
{
tz = 4;
}
nd = 4;
}
// At most 5 digits remaining.
if (output >= 100)
{
const uint32_t q = output / 100;
const uint32_t r = output % 100;
output = q;
buf -= 2;
Utoa_2Digits(buf, r);
if (tz == nd)
{
tz += TrailingZeros_2Digits(r);
}
nd += 2;
if (output >= 100)
{
const uint32_t q2 = output / 100;
const uint32_t r2 = output % 100;
output = q2
... [5667 chars truncated]
assistant
Schubfach is significantly leaner than Ryu (3 multiplies, no loops). Let me port it to C:
tool call: write
{"content": "// solve.c \u2014 fast shortest round-trip float32 printing.\n// Schubfach algorithm (Raffaello Giulietti, \"The Schubfach way to render\n// doubles\", 2020), 32-bit variant, following Alexander Bolz's Drachennest\n// formulation, with a specialized formatter for this task's format rules.\n#include <stdint.h>\n#include <stddef.h>\n#include <string.h>\n#include <stdbool.h>\n\nstatic const char DIGIT_TABLE[200] =\n \"00010203040506070809\"\n \"10111213141516171819\"\n \"20212223242526272829\"\n \"30313233343536373839\"\n \"40414243444546474849\"\n \"50515253545556575859\"\n \"60616263646566676869\"\n \"70717273747576777879\"\n \"80818283848586878889\"\n \"90919293949596979899\";\n\n// g[k+31] = ceil(10^k / 2^r) with r chosen so 2^63 <= g < 2^64, k in [-31,45].\nstatic const uint64_t POW10_SINGLE[77] = {\n 0x81CEB32C4B43FCF5u, 0xA2425FF75E14FC32u, 0xCAD2F7F5359A3B3Fu,\n 0xFD87B5F28300CA0Eu, 0x9E74D1B791E07E49u, 0xC612062576589DDBu,\n 0xF79687AED3EEC552u, 0x9ABE14CD44753B53u, 0xC16D9A0095928A28u,\n 0xF1C90080BAF72CB2u, 0x971DA05074DA7BEFu, 0xBCE5086492111AEBu,\n 0xEC1E4A7DB69561A6u, 0x9392EE8E921D5D08u, 0xB877AA3236A4B44Au,\n 0xE69594BEC44DE15Cu, 0x901D7CF73AB0ACDAu, 0xB424DC35095CD810u,\n 0xE12E13424BB40E14u, 0x8CBCCC096F5088CCu, 0xAFEBFF0BCB24AAFFu,\n 0xDBE6FECEBDEDD5BFu, 0x89705F4136B4A598u, 0xABCC77118461CEFDu,\n 0xD6BF94D5E57A42BDu, 0x8637BD05AF6C69B6u, 0xA7C5AC471B478424u,\n 0xD1B71758E219652Cu, 0x83126E978D4FDF3Cu, 0xA3D70A3D70A3D70Bu,\n 0
... [6449 chars truncated]
tool result
Updated /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c (233 lines):
1- // solve.c — fast shortest round-trip float32 printing (Ryu-style).
2- // Based on the Ryu algorithm (Ulf Adams, 2018), f2s 32-bit variant,
3- // with a fast path for exactly-representable small integers and a
4- // custom compact formatter.
1+ // solve.c — fast shortest round-trip float32 printing.
2+ // Schubfach algorithm (Raffaello Giulietti, "The Schubfach way to render
3+ // doubles", 2020), 32-bit variant, following Alexander Bolz's Drachennest
4+ // formulation, with a specialized formatter for this task's format rules.
10- // ---- tables ----
11- // FLOAT_POW5_INV_SPLIT[q] = floor(2^(59 + pow5bits(q) - 1) / 5^q) + 1
12- static const uint64_t POW5_INV[31] = {
13- 576460752303423489u, 461168601842738791u, 368934881474191033u,
14- 295147905179352826u, 472236648286964522u, 377789318629571618u,
15- 302231454903657294u, 483570327845851670u, 386856262276681336u,
16- 309485009821345069u, 495176015714152110u, 396140812571321688u,
17- 316912650057057351u, 507060240091291761u, 405648192073033409u,
18- 324518553658426727u, 519229685853482763u, 415383748682786211u,
19- 332306998946228969u, 531691198313966350u, 425352958651173080u,
20- 340282366920938464u, 544451787073501542u, 435561429658801234u,
21- 348449143727040987u, 557518629963265579u, 446014903970612463u,
...
assistant
Fix the -0 bug (I return 2 without writing '0'):
tool call: edit
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "new_string": " if (ieeeMantissa == 0) {\n // +-0\n *p = '0';\n return (size_t)(p - out) + 1;\n }", "old_string": " if (ieeeMantissa == 0) {\n // +-0\n if (bits >> 31) return 2; // \"-0\" ('-' already written, add '0')\n out[0] = '0';\n return 1;\n }"}
tool result
Edited /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c: replaced 1 occurrence(s)
130- if (bits >> 31) return 2; // "-0" ('-' already written, add '0')
131- out[0] = '0';
132- return 1;
130+ *p = '0';
131+ return (size_t)(p - out) + 1;
Context after edit (lines 125-135):
125│ }
126│ goto core;
127│ }
128│ if (ieeeMantissa == 0) {
129│ // +-0
130│ *p = '0';
131│ return (size_t)(p - out) + 1;
132│ }
133│ c = ieeeMantissa;
134│ q = -149;
135│ core:;
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -4", "timeout": 600000}
tool result
build 0.5s
verify 9.5s PASS
measure 0.2s 47,221,889 instructions (given: 7,923,401,327)
SCORE +7.3905 (167.791x)
--- Command finished with exit code: 0 ---
assistant
+7.39. Let me profile the new hot spots:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | sed -n '/Auto-annotated/,$p' | grep -vE '^\\s+\\.\\s' | head -110"}
tool result
-- Auto-annotated source: /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c
--------------------------------------------------------------------------------
Ir
-- line 45 ----------------------------------------
634,903 ( 6.86%) const unsigned __int128 p = (unsigned __int128)g * cp;
37,798 ( 0.41%) const uint32_t y1 = (uint32_t)(uint64_t)(p >> 64);
566,970 ( 6.12%) return y1 | (y0 > 1);
81,717 ( 0.88%) while (v >= 10000) {
390,237 ( 4.21%) uint32_t c = v % 10000;
101,237 ( 1.09%) v /= 10000;
284,748 ( 3.08%) memcpy(buf + i - 2, DIGIT_TABLE + (c % 100) * 2, 2);
291,928 ( 3.15%) memcpy(buf + i - 4, DIGIT_TABLE + (c / 100) * 2, 2);
33,216 ( 0.36%) i -= 4;
107,393 ( 1.16%) if (v >= 100) {
331,856 ( 3.58%) memcpy(buf + i - 2, DIGIT_TABLE + (v % 100) * 2, 2);
17,023 ( 0.18%) v /= 100;
92,418 ( 1.00%) if (v >= 10) {
139,589 ( 1.51%) memcpy(buf, DIGIT_TABLE + v * 2, 2);
36,363 ( 0.39%) buf[0] = (char)('0' + v);
120,801 ( 1.30%) if (v >= 100000000) return 9;
130,183 ( 1.41%) if (v >= 10000000) return 8;
84,744 ( 0.92%) if (v >= 1000000) return 7;
45,482 ( 0.49%) if (v >= 100000) return 6;
23,672 ( 0.26%) if (v >= 10000) return 5;
14,251 ( 0.15%) if (v >= 1000) return 4;
46,995 ( 0.51%) if (v >= 100) return 3;
6,568 ( 0.07%) if (v >= 10) return 2;
742 ( 0.01%) return 1;
450,000 ( 4.86%) size_t float_print(float f, char *out) {
50,000 ( 0.54%) memcpy(&bits, &f, 4);
100,000 ( 1.08%) const uint32_t ieeeMantissa = bits & 0x7FFFFFu;
150,000 ( 1.62%) const uint32_t ieeeExponent = bits >> 23 & 0xFFu;
100,000 ( 1.08%) if (ieeeExponent == 0xFF) {
50,000 ( 0.54%) *p = '-';
200,000 ( 2.16%) p += bits >> 31;
100,000 ( 1.08%) if (ieeeExponent != 0) {
94,858 ( 1.02%) c = 0x800000u | ieeeMantissa;
35,227 ( 0.38%) q = (int32_t)ieeeExponent - 150;
287,575 ( 3.11%) if (-q >= 0 && -q < 24 && (c & ((1u << -q) - 1)) == 0) {
12,202 ( 0.13%) const uint32_t m = c >> -q;
24,404 ( 0.26%) return (size_t)(p - out) + n;
5,142 ( 0.06%) if (ieeeMantissa == 0) {
40,369 ( 0.44%) const bool is_even = (c & 1) == 0;
176,135 ( 1.90%) const bool lower_boundary_is_closer = ieeeMantissa == 0 && ieeeExponent > 1;
110,823 ( 1.20%) const uint32_t cbl = 4 * c - 2 + lower_boundary_is_closer;
45,486 ( 0.49%) const uint32_t cbr = 4 * c + 2;
140,933 ( 1.52%) k = (q * 1262611 - (lower_boundar
... [3085 chars truncated]
assistant
Per-call cost is ~185 instructions. Let me check the generated prologue for stack-protector overhead:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && objdump -d .build/runner | sed -n '/<float_print>:/,/ret/p' | head -40 && objdump -d .build/runner | grep -c stack_chk"}
tool result
0000000000001360 <float_print>:
1360: 41 56 push %r14
1362: 66 0f 7e c2 movd %xmm0,%edx
1366: 41 55 push %r13
1368: 89 d6 mov %edx,%esi
136a: 41 54 push %r12
136c: c1 ee 17 shr $0x17,%esi
136f: 55 push %rbp
1370: 40 0f b6 f6 movzbl %sil,%esi
1374: 53 push %rbx
1375: 48 83 ec 30 sub $0x30,%rsp
1379: 64 4c 8b 04 25 28 00 mov %fs:0x28,%r8
1380: 00 00
1382: 4c 89 44 24 28 mov %r8,0x28(%rsp)
1387: 49 89 f8 mov %rdi,%r8
138a: 89 d7 mov %edx,%edi
138c: 81 e7 ff ff 7f 00 and $0x7fffff,%edi
1392: 81 fe ff 00 00 00 cmp $0xff,%esi
1398: 0f 84 a2 02 00 00 je 1640 <float_print+0x2e0>
139e: 89 d1 mov %edx,%ecx
13a0: 41 c6 00 2d movb $0x2d,(%r8)
13a4: c1 e9 1f shr $0x1f,%ecx
13a7: 89 c8 mov %ecx,%eax
13a9: 4d 8d 14 00 lea (%r8,%rax,1),%r10
13ad: 85 f6 test %esi,%esi
13af: 0f 85 eb 00 00 00 jne 14a0 <float_print+0x140>
13b5: 85 ff test %edi,%edi
13b7: 0f 84 73 03 00 00 je 1730 <float_print+0x3d0>
13bd: 44 8d 2c bd 00 00 00 lea 0x0(,%rdi,4),%r13d
13c4: 00
13c5: 83 e2 01 and $0x1,%edx
13c8: b9 01 00 00 00 mov $0x1,%ecx
13cd: 48 bb 8c f3 e4 1a 82 movabs $0xb35dbf821ae4f38c,%rbx
13d4: bf 5d b3
13d7: 89 d5 mov %edx,%ebp
13d9: 45 8d 5d fe lea -0x2(%r13),%r11d
13dd: 45 8d 4d 02 lea 0x2(%r13),%r9d
13e1: bf d3 ff ff ff mov $0xffffffd3,%edi
13e6: 41 d3 e3 shl %cl,%r11d
13e9: 41 d3 e5 shl %cl,%r13d
4
--- Command finished with exit code: 0 ---
tool call: edit
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "new_string": "format:;\n // Strip trailing zeros from digits (keeps the output minimal and the\n // fraction free of trailing zeros).\n while (digits % 10 == 0) { digits /= 10; ++k; }\n\n uint32_t olength = decimal_length9(digits);\n const int32_t dp = (int32_t)olength + k; // decimal point position\n\n if (k >= 0) {\n // digits followed by k zeros: integer, e.g. \"1200\". (dp <= 9 always\n // holds here for k >= 0 outputs we choose; fall through to scientific\n // when too long.)\n if (dp <= 9) {\n write_digits(digits, p, olength);\n memset(p + olength, '0', 8); // k <= 8 here\n return (size_t)(p - out) + (uint32_t)dp;\n }\n } else if (dp > 0) {\n // dig.its (dp < olength since k < 0)\n write_digits(digits, p, olength);\n memmove(p + dp + 1, p + dp, 8);\n p[dp] = '.';\n return (size_t)(p - out) + olength + 1;\n } else if (dp >= -3) {\n // 0.[000]digits\n memcpy(p, \"0.000\", 5);\n p += 2 - dp;\n write_digits(digits, p, olength);\n return (size_t)(p - out) + olength;\n }\n\n // Scientific: d[.igits]e[-]E\n write_digits(digits, p, olength);\n if (olength > 1) {\n memmove(p + 2, p + 1, 8);\n p[1] = '.';\n p += olength + 1;\n } else {\n p += 1;\n }\n *p++ = 'e';\n int32_t e = dp - 1;\n if (e < 0) { *p++ = '-'; e = -e; }\n if (e >= 10) {\n memcpy(p, DIGIT_TABLE + e * 2, 2);\n p += 2;\n } else {\n *p+
... [1588 chars truncated]
tool result
Edited /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c: replaced 1 occurrence(s)
187+ // digits followed by k zeros: integer, e.g. "1200". (dp <= 9 always
188+ // holds here for k >= 0 outputs we choose; fall through to scientific
189+ // when too long.)
188- // digits followed by k zeros: integer, e.g. "1200".
190- p += olength;
191- for (int32_t z = 0; z < k; z++) *p++ = '0';
192- return (size_t)(p - out);
192+ memset(p + olength, '0', 8); // k <= 8 here
193+ return (size_t)(p - out) + (uint32_t)dp;
196- char tmp[12];
197- write_digits(digits, tmp, olength);
198- memcpy(p, tmp, (uint32_t)dp);
199- p += dp;
200- *p++ = '.';
201- memcpy(p, tmp + dp, olength - (uint32_t)dp);
202- p += olength - (uint32_t)dp;
203- return (size_t)(p - out);
197+ write_digits(digits, p, olength);
198+ memmove(p + dp + 1, p + dp, 8);
199+ p[dp] = '.';
200+ return (size_t)(p - out) + olength + 1;
206- *p++ = '0';
207- *p++ = '.';
208- for (int32_t z = 0; z < -dp; z++) *p++ = '0';
203+ memcpy(p, "0.000", 5);
204+ p += 2 - dp;
214- char tmp[12];
215- write_digits(digits, tmp, olength);
216- *p++ = tmp[0];
210+ write_digits(digits, p, olength);
218- *p++ = '.';
219- memcpy(p, tmp + 1, olength - 1);
220- p += olength - 1;
212+ memmove(p + 2, p + 1, 8);
213+ p[1] = '.';
214+ p += olength + 1;
215+ } else {
216+ p += 1;
Context after edit (lines 175-228):
175│ const bool round_up = vb > mid || (vb == mid && (s & 1) != 0);
176│ digits = s + round_up;
177│ }
178│ format:;
179│ // Strip trailing zeros from digits (keeps the output minimal and the
180│ // fraction free of trailing zeros).
181│ while (digits % 10 == 0) { digits /= 10; ++k; }
182│
183│ uint32_t olength = decimal_length9(digits);
184│ const int32_t dp = (int32_t)olength + k; // decimal point position
185│
186│ if (k >= 0) {
187│ // digits followed by k zeros: integer, e.g. "1200". (dp <= 9 always
188│ // holds here for k >= 0 outputs we choose; fall through to scientific
189│ // when too long.)
190│ if (dp <= 9) {
191│ write_digits(digits, p, olength);
192│ memset(p + olength, '0', 8); // k <= 8 here
193│ return (size_t)(p - out) + (uint32_t)dp;
194│ }
195│ } else if (dp > 0) {
196│ // dig.its (dp < olength since k < 0)
197│ write_digits(digits, p, olength);
198│ memmove(p + dp + 1, p + dp, 8);
199│ p[dp] = '.';
200│ return (size_t)(p - out) + olength + 1;
201│ } else if (dp >= -3) {
202│ //
... [695 chars truncated]
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
verify 8.3s PASS
measure 0.2s 43,897,936 instructions (given: 7,923,401,327)
SCORE +7.4958 (180.496x)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && objdump -d .build/runner | sed -n '/<float_print>:/,+12p' && callgrind_annotate .build/callgrind.runner.out 2>/dev/null | sed -n '/Auto-annotated/,$p' | grep -vE '^\\s+\\.\\s' | grep -E '\\([ ]*[2-9]\\.' "}
tool result
0000000000001360 <float_print>:
1360: 66 0f 7e c0 movd %xmm0,%eax
1364: 41 57 push %r15
1366: 89 c2 mov %eax,%edx
1368: 89 c6 mov %eax,%esi
136a: 41 56 push %r14
136c: c1 ea 17 shr $0x17,%edx
136f: 41 55 push %r13
1371: 81 e6 ff ff 7f 00 and $0x7fffff,%esi
1377: 0f b6 d2 movzbl %dl,%edx
137a: 41 54 push %r12
137c: 55 push %rbp
137d: 53 push %rbx
597,105 ( 6.91%) const unsigned __int128 p = (unsigned __int128)g * cp;
680,364 ( 7.87%) return y1 | (y0 > 1);
381,492 ( 4.41%) uint32_t c = v % 10000;
436,120 ( 5.04%) memcpy(buf + i - 2, DIGIT_TABLE + (c % 100) * 2, 2);
174,448 ( 2.02%) memcpy(buf + i - 4, DIGIT_TABLE + (c / 100) * 2, 2);
322,856 ( 3.73%) memcpy(buf + i - 2, DIGIT_TABLE + (v % 100) * 2, 2);
208,542 ( 2.41%) if (v >= 10000000) return 8;
350,000 ( 4.05%) size_t float_print(float f, char *out) {
200,000 ( 2.31%) p += bits >> 31;
287,575 ( 3.33%) if (-q >= 0 && -q < 24 && (c & ((1u << -q) - 1)) == 0) {
176,135 ( 2.04%) const bool lower_boundary_is_closer = ieeeMantissa == 0 && ieeeExponent > 1;
418,221 ( 4.84%) while (digits % 10 == 0) { digits /= 10; ++k; }
350,000 ( 4.05%) }
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF' > submission/tables.h\nimport math\n\ndef g_of(i):\n # ceil(10^i / 2^e2) with e2 = floor(log2(10^i)) - 63, so 2^63 <= g < 2^64\n num = 10**i if i >= 0 else 1\n den = 1 if i >= 0 else 10**(-i)\n # floor(log2(10^i)) exact:\n l2 = (num.bit_length()-1) if i >= 0 else -( (den-1).bit_length() )\n # more careful: floor(log2(num/den))\n # use integer method\n lo, hi = -2000, 2000\n # floor(log2(x)) = e s.t. 2^e <= x < 2^(e+1)\n e = 0\n x_num, x_den = num, den\n # normalize via bit lengths\n e = x_num.bit_length() - x_den.bit_length()\n if (x_num << max(0,-e)) < (x_den << max(0,e)):\n e -= 1\n e2 = e - 63\n if e2 >= 0:\n g = -(-num // (den << e2))\n else:\n g = -(-(num << (-e2)) // den)\n assert 2**63 <= g < 2**64\n return g\n\npows = [g_of(i) for i in range(-31, 46)]\nprint(\"// auto-generated tables for schubfach float32\")\nprint(\"static const uint64_t POW10_SINGLE[77] = {\")\nfor i in range(0, 77, 3):\n print(\" \" + \" \".join(\"0x%016Xull,\" % x for x in pows[i:i+3]))\nprint(\"};\")\n\n# sanity vs known constants\nassert pows[0] == 0x81CEB32C4B43FCF5\nassert pows[31] == 0x8000000000000000\nassert pows[30] == 0xCCCCCCCCCCCCCCCD\nassert pows[29] == 0xA3D70A3D70A3D70B\nassert pows[76] == 0xB35DBF821AE4F38C\n\ndef asr(x, n):\n return x >> n # python >> is arithmetic/floor\n\nprint(\"typedef struct { uint64_t g; int32
... [438 chars truncated]
tool result
// auto-generated tables for schubfach float32
static const uint64_t POW10_SINGLE[77] = {
0x81CEB32C4B43FCF5ull, 0xA2425FF75E14FC32ull, 0xCAD2F7F5359A3B3Full,
0xFD87B5F28300CA0Eull, 0x9E74D1B791E07E49ull, 0xC612062576589DDBull,
0xF79687AED3EEC552ull, 0x9ABE14CD44753B53ull, 0xC16D9A0095928A28ull,
1
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF' > submission/tables.h\nfrom fractions import Fraction\n\ndef g_of(i):\n num = 10**i if i >= 0 else 1\n den = 1 if i >= 0 else 10**(-i)\n e = num.bit_length() - den.bit_length()\n if (num << max(0,-e)) < (den << max(0,e)):\n e -= 1\n e2 = e - 63\n if e2 >= 0:\n g = -(-num // (den << e2))\n else:\n g = -(-(num << (-e2)) // den)\n assert 2**63 <= g < 2**64\n return g\n\npows = {i: g_of(i) for i in range(-31, 46)}\nassert pows[-31] == 0x81CEB32C4B43FCF5\nassert pows[0] == 0x8000000000000000\nassert pows[-1] == 0xCCCCCCCCCCCCCCCD\nassert pows[45] == 0xB35DBF821AE4F38C\n\ndef asr(x, n): return x >> n\n\nprint(\"// auto-generated tables for schubfach float32 (see gen script in repo history)\")\nprint(\"#include <stdint.h>\")\nprint(\"typedef struct { uint64_t g; int32_t k; uint32_t sh; uint32_t off; } exp_info_t;\")\nprint(\"static const exp_info_t EXP_INFO[255] = {\")\nfor e in range(255):\n q = (1 if e == 0 else e) - 150\n k = asr(q * 1262611, 22)\n h = q + asr(-k * 1741647, 19) + 1\n assert 1 <= h <= 4, (e, h)\n assert -31 <= -k <= 45\n g = pows[-k]\n print(\" {0x%016Xull, %d, %d, %d},\" % (g, k, h + 2, 2 << h))\nprint(\"};\")\n\n# POW2_DEC[e]: shortest decimal for value with mantissa==0, exponent e (1..254)\n# entry: digits (trailing-zero-stripped), k such that value ~ digits * 10^k\nprint(\"typedef struct { uint32_t digits; int3
... [1169 chars truncated]
tool result
518 submission/tables.h
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && tail -3 submission/tables.h && grep -c '{' submission/tables.h"}
tool result
{8507059u, 31},
{17014118u, 31},
};
514
--- Command finished with exit code: 0 ---
assistant
Now restructure solve.c to use the precomputed per-exponent table and a power-of-two table:
tool call: write
{"content": "// solve.c \u2014 fast shortest round-trip float32 printing.\n// Schubfach algorithm (Raffaello Giulietti, \"The Schubfach way to render\n// doubles\", 2020), 32-bit variant, following Alexander Bolz's Drachennest\n// formulation, with per-exponent precomputed tables and a specialized\n// formatter for this task's format rules.\n#include <stdint.h>\n#include <stddef.h>\n#include <string.h>\n#include <stdbool.h>\n#include \"tables.h\"\n\nstatic const char DIGIT_TABLE[200] =\n \"00010203040506070809\"\n \"10111213141516171819\"\n \"20212223242526272829\"\n \"30313233343536373839\"\n \"40414243444546474849\"\n \"50515253545556575859\"\n \"60616263646566676869\"\n \"70717273747576777879\"\n \"80818283848586878889\"\n \"90919293949596979899\";\n\nstatic inline uint32_t round_to_odd(uint64_t g, uint32_t cp) {\n const unsigned __int128 p = (unsigned __int128)g * cp;\n const uint32_t y1 = (uint32_t)(uint64_t)(p >> 64);\n const uint32_t y0 = (uint32_t)((uint64_t)p >> 32);\n return y1 | (y0 > 1);\n}\n\n// Write the decimal digits of v (which has olength digits) at buf[0..olength).\nstatic inline void write_digits(uint32_t v, char *buf, uint32_t olength) {\n uint32_t i = olength;\n while (v >= 10000) {\n uint32_t c = v % 10000;\n v /= 10000;\n memcpy(buf + i - 2, DIGIT_TABLE + (c % 100) * 2, 2);\n memcpy(buf + i - 4, DIGIT_TABLE + (c / 100) * 2, 2);\n i -= 4;\n }\n if (v >= 100) {\n memcpy(buf + i - 2, DIGIT_TABLE + (v % 100) * 2, 2);\n
... [4836 chars truncated]
tool result
Updated /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c (204 lines):
4- // formulation, with a specialized formatter for this task's format rules.
4+ // formulation, with per-exponent precomputed tables and a specialized
5+ // formatter for this task's format rules.
10+ #include "tables.h"
22- // g[k+31] = ceil(10^k / 2^r) with r chosen so 2^63 <= g < 2^64, k in [-31,45].
23- static const uint64_t POW10_SINGLE[77] = {
24- 0x81CEB32C4B43FCF5u, 0xA2425FF75E14FC32u, 0xCAD2F7F5359A3B3Fu,
25- 0xFD87B5F28300CA0Eu, 0x9E74D1B791E07E49u, 0xC612062576589DDBu,
26- 0xF79687AED3EEC552u, 0x9ABE14CD44753B53u, 0xC16D9A0095928A28u,
27- 0xF1C90080BAF72CB2u, 0x971DA05074DA7BEFu, 0xBCE5086492111AEBu,
28- 0xEC1E4A7DB69561A6u, 0x9392EE8E921D5D08u, 0xB877AA3236A4B44Au,
29- 0xE69594BEC44DE15Cu, 0x901D7CF73AB0ACDAu, 0xB424DC35095CD810u,
30- 0xE12E13424BB40E14u, 0x8CBCCC096F5088CCu, 0xAFEBFF0BCB24AAFFu,
31- 0xDBE6FECEBDEDD5BFu, 0x89705F4136B4A598u, 0xABCC77118461CEFDu,
32- 0xD6BF94D5E57A42BDu, 0x8637BD05AF6C69B6u, 0xA7C5AC471B478424u,
33- 0xD1B71758E219652Cu, 0x83126E978D4FDF3Cu, 0xA3D70A3D70A3D70Bu,
34- 0xCCCCCCCCCCCCCCCDu, 0x8000000000000000u, 0xA000000000000000u,
35- 0xC800000000000000u, 0xFA00000000000000u, 0x9C40000000000000u,
36- 0xC350000000000000u, 0xF424000000000000u, 0x9896800000000000u,
37- 0xBEBC200000000000u, 0xEE6B280000000000u, 0x9502F90000000000u,
...
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
verify 3.4s PASS
measure 0.1s 42,595,083 instructions (given: 7,923,401,327)
SCORE +7.5393 (186.017x)
--- Command finished with exit code: 0 ---
assistant
+7.54. Per-call is ~850 instructions. Let me re-profile to see where the rest goes:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | sed -n '/file:function/,/^--$/p' | head -20"}
tool result
Ir file:function
--------------------------------------------------------------------------------
8,338,345 (100.0%) /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c:float_print [/tmp/bench4-jc-float-print/tasks/float-print/.build/runner]
--------------------------------------------------------------------------------
-- Auto-annotated source: /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c
--------------------------------------------------------------------------------
Ir
-- line 17 ----------------------------------------
. "40414243444546474849"
. "50515253545556575859"
. "60616263646566676869"
. "70717273747576777879"
. "80818283848586878889"
. "90919293949596979899";
.
. static inline uint32_t round_to_odd(uint64_t g, uint32_t cp) {
528,822 ( 6.34%) const unsigned __int128 p = (unsigned __int128)g * cp;
37,773 ( 0.45%) const uint32_t y1 = (uint32_t)(uint64_t)(p >> 64);
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | sed -n '/Auto-annotated/,$p' | grep -vE '^\\s+\\.\\s' | sed -n 5,120p"}
tool result
-- line 17 ----------------------------------------
528,822 ( 6.34%) const unsigned __int128 p = (unsigned __int128)g * cp;
37,773 ( 0.45%) const uint32_t y1 = (uint32_t)(uint64_t)(p >> 64);
679,914 ( 8.15%) return y1 | (y0 > 1);
1,121 ( 0.01%) uint32_t i = olength;
83,922 ( 1.01%) while (v >= 10000) {
402,164 ( 4.82%) uint32_t c = v % 10000;
101,237 ( 1.21%) v /= 10000;
436,120 ( 5.23%) memcpy(buf + i - 2, DIGIT_TABLE + (c % 100) * 2, 2);
174,448 ( 2.09%) memcpy(buf + i - 4, DIGIT_TABLE + (c / 100) * 2, 2);
33,216 ( 0.40%) i -= 4;
88,548 ( 1.06%) if (v >= 100) {
324,090 ( 3.89%) memcpy(buf + i - 2, DIGIT_TABLE + (v % 100) * 2, 2);
16,592 ( 0.20%) v /= 100;
10,488 ( 0.13%) i -= 2;
122,752 ( 1.47%) if (v >= 10) {
131,533 ( 1.58%) memcpy(buf, DIGIT_TABLE + v * 2, 2);
42,637 ( 0.51%) buf[0] = (char)('0' + v);
79,152 ( 0.95%) if (v >= 100000000) return 9;
133,816 ( 1.60%) if (v >= 10000000) return 8;
83,832 ( 1.01%) if (v >= 1000000) return 7;
51,879 ( 0.62%) if (v >= 100000) return 6;
63,388 ( 0.76%) if (v >= 10000) return 5;
12,822 ( 0.15%) if (v >= 1000) return 4;
15,653 ( 0.19%) if (v >= 100) return 3;
5,947 ( 0.07%) if (v >= 10) return 2;
350,000 ( 4.20%) size_t float_print(float f, char *out) {
50,000 ( 0.60%) memcpy(&bits, &f, 4);
100,000 ( 1.20%) const uint32_t ieeeMantissa = bits & 0x7FFFFFu;
150,000 ( 1.80%) const uint32_t ieeeExponent = bits >> 23 & 0xFFu;
100,000 ( 1.20%) if (__builtin_expect(ieeeExponent == 0xFF, 0)) {
50,000 ( 0.60%) *p = '-';
150,000 ( 1.80%) p += bits >> 31;
100,000 ( 1.20%) if (__builtin_expect(ieeeMantissa == 0, 0)) {
206 ( 0.00%) if (ieeeExponent == 0) {
309 ( 0.00%) digits = POW2_DEC[ieeeExponent].digits;
103 ( 0.00%) k = POW2_DEC[ieeeExponent].k;
103 ( 0.00%) goto format;
149,691 ( 1.80%) if (ieeeExponent - 135u <= 15u) { // e in [135,150] -> exact small integer?
26,204 ( 0.31%) const uint32_t shift = 150 - ieeeExponent; // 0..15
65,510 ( 0.79%) if ((ieeeMantissa & ((1u << shift) - 1)) == 0) {
23,684 ( 0.28%) const uint32_t m = (0x800000u | ieeeMantissa) >> shift;
3,339 ( 0.04%) return (size_t)(p - out) + n;
110,385 ( 1.32%) } else if (ieeeExponent - 127u <= 7u) { // e in [127,134]
5,086 ( 0.06%) const uint32_t shift = 150 - ieeeExponent; // 16..23
12,715 ( 0.15%) if ((ieeeMantissa & ((1u << shift) - 1)) ==
... [2939 chars truncated]
tool call: bg
{"action": "status", "task_id": "1233219a36"}
tool result
Task: 1233219a36
Name: cd /tmp/bench4-jc-float-prin
Tool: bash
Status: failed
Session: session_unicorn_1783305713749_154641fc84619904
Started: 2026-07-06T03:05:23.321259739+00:00
Completed: 2026-07-06T03:15:23.329202901+00:00
Duration: 600.01s
Exit code: 124
Notify: true
Wake: false
Error: Command timed out after 600000ms (600.0s)
Recent events:
- Failed · 2026-07-06T03:15:23.329255630+00:00 · Command timed out after 600000ms (600.0s)
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF' > submission/tables.h\nfrom fractions import Fraction\n\ndef g_of(i):\n num = 10**i if i >= 0 else 1\n den = 1 if i >= 0 else 10**(-i)\n e = num.bit_length() - den.bit_length()\n if (num << max(0,-e)) < (den << max(0,e)):\n e -= 1\n e2 = e - 63\n if e2 >= 0:\n g = -(-num // (den << e2))\n else:\n g = -(-(num << (-e2)) // den)\n assert 2**63 <= g < 2**64\n return g\n\npows = {i: g_of(i) for i in range(-31, 46)}\nassert pows[-31] == 0x81CEB32C4B43FCF5\nassert pows[0] == 0x8000000000000000\nassert pows[-1] == 0xCCCCCCCCCCCCCCCD\nassert pows[45] == 0xB35DBF821AE4F38C\n\ndef asr(x, n): return x >> n\n\nprint(\"// auto-generated tables for schubfach float32\")\nprint(\"#include <stdint.h>\")\nprint(\"// g: 10^-k scaled to [2^63,2^64); k: decimal exponent; sh: shift so that\")\nprint(\"// base=(m<<sh)+hb equals (4c)<<h; hb: hidden-bit contribution; off: 2<<h.\")\nprint(\"typedef struct { uint64_t g; int32_t k; uint32_t sh; uint32_t hb; uint32_t off; } exp_info_t;\")\nprint(\"static const exp_info_t EXP_INFO[255] = {\")\nfor e in range(255):\n q = (1 if e == 0 else e) - 150\n k = asr(q * 1262611, 22)\n h = q + asr(-k * 1741647, 19) + 1\n assert 1 <= h <= 4, (e, h)\n assert -31 <= -k <= 45\n g = pows[-k]\n sh = h + 2\n hb = (0x800000 << sh) if e != 0 else 0\n assert hb < 2**32\n print(\" {0x%016Xull, %d, %d, %du, %d},\" % (g,
... [1091 chars truncated]
tool result
520 submission/tables.h
--- Command finished with exit code: 0 ---
tool call: edit
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "new_string": " // ---- Schubfach core ----\n // Note: ieeeMantissa != 0 here, so the lower boundary is never the closer\n // one (that only happens for powers of two, which took the table path).\n {\n const exp_info_t ei = EXP_INFO[ieeeExponent];\n k = ei.k;\n\n const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h\n const uint32_t off = ei.off; // == 2 << h\n const uint32_t vbl = round_to_odd(ei.g, base - off);\n const uint32_t vb = round_to_odd(ei.g, base);\n const uint32_t vbr = round_to_odd(ei.g, base + off);\n\n const uint32_t odd = ieeeMantissa & 1;\n const uint32_t lower = vbl + odd;\n const uint32_t upper = vbr - odd;", "old_string": " // ---- Schubfach core ----\n {\n const uint32_t c = (ieeeExponent ? 0x800000u : 0) | ieeeMantissa;\n const exp_info_t ei = EXP_INFO[ieeeExponent];\n k = ei.k;\n\n const uint32_t base = c << ei.sh; // == (4c) << h\n const uint32_t off = ei.off; // == 2 << h\n const uint32_t vbl = round_to_odd(ei.g, base - off);\n const uint32_t vb = round_to_odd(ei.g, base);\n const uint32_t vbr = round_to_odd(ei.g, base + off);\n\n const uint32_t odd = c & 1;\n const uint32_t lower = vbl + odd;\n const uint32_t upper = vbr - odd;"}
tool result
Edited /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c: replaced 1 occurrence(s)
117+ // Note: ieeeMantissa != 0 here, so the lower boundary is never the closer
118+ // one (that only happens for powers of two, which took the table path).
118- const uint32_t c = (ieeeExponent ? 0x800000u : 0) | ieeeMantissa;
122- const uint32_t base = c << ei.sh; // == (4c) << h
123- const uint32_t off = ei.off; // == 2 << h
123+ const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h
124+ const uint32_t off = ei.off; // == 2 << h
128- const uint32_t odd = c & 1;
129+ const uint32_t odd = ieeeMantissa & 1;
Context after edit (lines 113-134):
113│ }
114│ }
115│
116│ // ---- Schubfach core ----
117│ // Note: ieeeMantissa != 0 here, so the lower boundary is never the closer
118│ // one (that only happens for powers of two, which took the table path).
119│ {
120│ const exp_info_t ei = EXP_INFO[ieeeExponent];
121│ k = ei.k;
122│
123│ const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h
124│ const uint32_t off = ei.off; // == 2 << h
125│ const uint32_t vbl = round_to_odd(ei.g, base - off);
126│ const uint32_t vb = round_to_odd(ei.g, base);
127│ const uint32_t vbr = round_to_odd(ei.g, base + off);
128│
129│ const uint32_t odd = ieeeMantissa & 1;
130│ const uint32_t lower = vbl + odd;
131│ const uint32_t upper = vbr - odd;
132│
133│ const uint32_t s = vb / 4;
134│ if (s >= 10) {
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
verify 4.0s PASS
measure 0.1s 40,413,095 instructions (given: 7,923,401,327)
SCORE +7.6152 (196.060x)
--- Command finished with exit code: 0 ---
user
Your run was interrupted by a network outage; it is restored now. Continue improving submission/solve.c from where you left off. Same rules: grade often, work until you genuinely cannot improve further, report your final score.
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF' > submission/tables.h\nfrom fractions import Fraction\n\ndef g_of(i):\n num = 10**i if i >= 0 else 1\n den = 1 if i >= 0 else 10**(-i)\n e = num.bit_length() - den.bit_length()\n if (num << max(0,-e)) < (den << max(0,e)):\n e -= 1\n e2 = e - 63\n if e2 >= 0:\n g = -(-num // (den << e2))\n else:\n g = -(-(num << (-e2)) // den)\n assert 2**63 <= g < 2**64\n return g\n\npows = {i: g_of(i) for i in range(-31, 46)}\nassert pows[-31] == 0x81CEB32C4B43FCF5\nassert pows[0] == 0x8000000000000000\nassert pows[-1] == 0xCCCCCCCCCCCCCCCD\nassert pows[45] == 0xB35DBF821AE4F38C\n\ndef asr(x, n): return x >> n\n\nprint(\"// auto-generated tables for schubfach float32\")\nprint(\"#include <stdint.h>\")\nprint(\"// g: 10^-k scaled to [2^63,2^64); dhi:dlo = g << (h+1); k: decimal exponent;\")\nprint(\"// sh: shift so that base=(m<<sh)+hb equals (4c)<<h; hb: hidden-bit part.\")\nprint(\"typedef struct { uint64_t g, dhi, dlo; int32_t k; uint32_t sh, hb; } exp_info_t;\")\nprint(\"static const exp_info_t EXP_INFO[255] = {\")\nfor e in range(255):\n q = (1 if e == 0 else e) - 150\n k = asr(q * 1262611, 22)\n h = q + asr(-k * 1741647, 19) + 1\n assert 1 <= h <= 4, (e, h)\n assert -31 <= -k <= 45\n g = pows[-k]\n sh = h + 2\n hb = (0x800000 << sh) if e != 0 else 0\n assert hb < 2**32\n d = g << (h + 1)\n dhi, dlo = d >> 64, d & ((1<<64)-1)\
... [1594 chars truncated]
tool result
607 submission/tables.h
// auto-generated tables for schubfach float32
#include <stdint.h>
// g: 10^-k scaled to [2^63,2^64); dhi:dlo = g << (h+1); k: decimal exponent;
// sh: shift so that base=(m<<sh)+hb equals (4c)<<h; hb: hidden-bit part.
typedef struct { uint64_t g, dhi, dlo; int32_t k; uint32_t sh, hb; } exp_info_t;
static const exp_info_t EXP_INFO[255] = {
{0xB35DBF821AE4F38Cull, 0x2ull, 0xCD76FE086B93CE30ull, -45, 3u, 0u},
{0xB35DBF821AE4F38Cull, 0x2ull, 0xCD76FE086B93CE30ull, -45, 3u, 67108864u},
--- Command finished with exit code: 0 ---
tool call: write
{"content": "// solve.c \u2014 fast shortest round-trip float32 printing.\n// Schubfach algorithm (Raffaello Giulietti, \"The Schubfach way to render\n// doubles\", 2020), 32-bit variant, following Alexander Bolz's Drachennest\n// formulation, with per-exponent precomputed tables and a specialized\n// formatter for this task's format rules.\n#include <stdint.h>\n#include <stddef.h>\n#include <string.h>\n#include <stdbool.h>\n#include \"tables.h\"\n\nstatic const char DIGIT_TABLE[200] =\n \"00010203040506070809\"\n \"10111213141516171819\"\n \"20212223242526272829\"\n \"30313233343536373839\"\n \"40414243444546474849\"\n \"50515253545556575859\"\n \"60616263646566676869\"\n \"70717273747576777879\"\n \"80818283848586878889\"\n \"90919293949596979899\";\n\ntypedef unsigned __int128 u128;\n\n// Compress an exact 128-bit product g*cp to 32 bits, rounding to odd.\nstatic inline uint32_t round_to_odd128(u128 p) {\n const uint32_t y1 = (uint32_t)(uint64_t)(p >> 64);\n const uint32_t y0 = (uint32_t)((uint64_t)p >> 32);\n return y1 | (y0 > 1);\n}\n\n// Write the decimal digits of v (which has olength digits) at buf[0..olength).\nstatic inline void write_digits(uint32_t v, char *buf, uint32_t olength) {\n uint32_t i = olength;\n while (v >= 10000) {\n uint32_t c = v % 10000;\n v /= 10000;\n memcpy(buf + i - 2, DIGIT_TABLE + (c % 100) * 2, 2);\n memcpy(buf + i - 4, DIGIT_TABLE + (c / 100) * 2, 2);\n i -= 4;\n }\n if (v >= 100) {\n memcpy(buf + i - 2, D
... [4570 chars truncated]
tool result
Updated /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c (194 lines):
24- static inline uint32_t round_to_odd(uint64_t g, uint32_t cp) {
25- const unsigned __int128 p = (unsigned __int128)g * cp;
24+ typedef unsigned __int128 u128;
26+ // Compress an exact 128-bit product g*cp to 32 bits, rounding to odd.
27+ static inline uint32_t round_to_odd128(u128 p) {
96- if (ieeeExponent - 135u <= 15u) { // e in [135,150] -> exact small integer?
97- const uint32_t shift = 150 - ieeeExponent; // 0..15
98+ if (ieeeExponent - 127u <= 23u) { // e in [127,150] -> maybe exact integer
99+ const uint32_t shift = 150 - ieeeExponent; // 0..23
106- } else if (ieeeExponent - 127u <= 7u) { // e in [127,134]
107- const uint32_t shift = 150 - ieeeExponent; // 16..23
108- if ((ieeeMantissa & ((1u << shift) - 1)) == 0) {
109- const uint32_t m = (0x800000u | ieeeMantissa) >> shift;
110- const uint32_t n = decimal_length9(m);
111- write_digits(m, p, n);
112- return (size_t)(p - out) + n;
113- }
124- const uint32_t off = ei.off; // == 2 << h
125- const uint32_t vbl = round_to_odd(ei.g, base - off);
126- const uint32_t vb = round_to_odd(ei.g, base);
...
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
verify 7.5s PASS
measure 3.7s 37,585,735 instructions (given: 7,923,401,327)
SCORE +7.7198 (210.809x)
--- Command finished with exit code: 0 ---
assistant
+7.72. Let me profile again:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | sed -n '/Auto-annotated/,$p' | grep -vE '^\\s+\\.\\s' | sed -n 4,120p"}
tool result
-- line 20 ----------------------------------------
37,773 ( 0.51%) const uint32_t y1 = (uint32_t)(uint64_t)(p >> 64);
566,595 ( 7.61%) return y1 | (y0 > 1);
76,888 ( 1.03%) while (v >= 10000) {
381,492 ( 5.13%) uint32_t c = v % 10000;
101,237 ( 1.36%) v /= 10000;
436,120 ( 5.86%) memcpy(buf + i - 2, DIGIT_TABLE + (c % 100) * 2, 2);
174,448 ( 2.34%) memcpy(buf + i - 4, DIGIT_TABLE + (c / 100) * 2, 2);
33,216 ( 0.45%) i -= 4;
90,706 ( 1.22%) if (v >= 100) {
333,121 ( 4.48%) memcpy(buf + i - 2, DIGIT_TABLE + (v % 100) * 2, 2);
16,862 ( 0.23%) v /= 100;
94,101 ( 1.26%) if (v >= 10) {
122,988 ( 1.65%) memcpy(buf, DIGIT_TABLE + v * 2, 2);
42,637 ( 0.57%) buf[0] = (char)('0' + v);
97,345 ( 1.31%) if (v >= 100000000) return 9;
131,826 ( 1.77%) if (v >= 10000000) return 8;
84,960 ( 1.14%) if (v >= 1000000) return 7;
53,007 ( 0.71%) if (v >= 100000) return 6;
23,172 ( 0.31%) if (v >= 10000) return 5;
13,937 ( 0.19%) if (v >= 1000) return 4;
16,892 ( 0.23%) if (v >= 100) return 3;
7,590 ( 0.10%) if (v >= 10) return 2;
250,000 ( 3.36%) size_t float_print(float f, char *out) {
50,000 ( 0.67%) memcpy(&bits, &f, 4);
100,000 ( 1.34%) const uint32_t ieeeMantissa = bits & 0x7FFFFFu;
150,000 ( 2.02%) const uint32_t ieeeExponent = bits >> 23 & 0xFFu;
100,000 ( 1.34%) if (__builtin_expect(ieeeExponent == 0xFF, 0)) {
50,000 ( 0.67%) *p = '-';
200,000 ( 2.69%) p += bits >> 31;
100,000 ( 1.34%) if (__builtin_expect(ieeeMantissa == 0, 0)) {
206 ( 0.00%) if (ieeeExponent == 0) {
206 ( 0.00%) digits = POW2_DEC[ieeeExponent].digits;
103 ( 0.00%) k = POW2_DEC[ieeeExponent].k;
103 ( 0.00%) goto format;
149,691 ( 2.01%) if (ieeeExponent - 127u <= 23u) { // e in [127,150] -> maybe exact integer
31,290 ( 0.42%) const uint32_t shift = 150 - ieeeExponent; // 0..23
78,225 ( 1.05%) if ((ieeeMantissa & ((1u << shift) - 1)) == 0) {
24,248 ( 0.33%) const uint32_t m = (0x800000u | ieeeMantissa) >> shift;
24,248 ( 0.33%) return (size_t)(p - out) + n;
151,092 ( 2.03%) const exp_info_t ei = EXP_INFO[ieeeExponent];
75,546 ( 1.02%) const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h
75,546 ( 1.02%) const u128 pb = (u128)ei.g * base;
151,092 ( 2.03%) const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)
151,092 ( 2.03%) const uint32_t vbl = round_to_o
... [2483 chars truncated]
assistant
Now I'll restructure the formatter to fold trailing-zero stripping into the digit-writing pass (Bolz-style backwards writer with tz tables), eliminating the strip loop:
tool call: write
{"content": "// solve.c \u2014 fast shortest round-trip float32 printing.\n// Schubfach algorithm (Raffaello Giulietti, \"The Schubfach way to render\n// doubles\", 2020), 32-bit variant, following Alexander Bolz's Drachennest\n// formulation, with per-exponent precomputed tables and a specialized\n// formatter for this task's format rules.\n#include <stdint.h>\n#include <stddef.h>\n#include <string.h>\n#include <stdbool.h>\n#include \"tables.h\"\n\nstatic const char DIGIT_TABLE[200] =\n \"00010203040506070809\"\n \"10111213141516171819\"\n \"20212223242526272829\"\n \"30313233343536373839\"\n \"40414243444546474849\"\n \"50515253545556575859\"\n \"60616263646566676869\"\n \"70717273747576777879\"\n \"80818283848586878889\"\n \"90919293949596979899\";\n\nstatic const int8_t TZ100[100] = {\n 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n};\n\ntypedef unsigned __int128 u128;\n\n// Compress an exact 128-bit product g*cp to 32 bits, rounding to odd.\nstatic inline uint32_t round_to_odd128(u128 p) {\n const uint32_t y1 = (uint32_t)(uint64_t)(p >> 64);\n const uint32_t y0 = (uint32_t)((uint64_t)p >> 32);\n return y1 | (y0 > 1);\n}\n\n// Write the decimal digits of v (which has olength digits
... [6256 chars truncated]
tool result
Updated /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c (251 lines):
24+ static const int8_t TZ100[100] = {
25+ 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,
26+ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
27+ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
28+ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
29+ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
30+ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
31+ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
32+ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
33+ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
34+ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
35+ };
68+ // Write the decimal digits of v ending just before end (i.e. backwards),
69+ // skipping trailing zero pairs (the buffer is prefilled with '0').
70+ // Returns the number of trailing zeros in v's decimal representation.
71+ static inline uint32_t write_digits_tz(uint32_t v, char *end) {
72+ uint32_t tz = 0; // trailing zeros
73+ uint32_t nd = 0; // digits processed
74+ if (v >= 10000) {
75+ const uint32_t q = v / 10000;
...
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
verify 21.2s PASS
measure 0.2s 40,001,095 instructions (given: 7,923,401,327)
SCORE +7.6299 (198.080x)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && git status 2>/dev/null | head -3; git log --oneline 2>/dev/null | head"}
tool result
On branch master
Your branch is up to date with 'origin/master'.
a9bfcdd utf16-transcode task: exhaustive verifier (5/5 mutations caught), paired scoring; all three tasks live
4f73f08 float-print task + shared harness grader; json-unescape ported to shared grader
825e65d json-unescape task: exhaustive verifier, callgrind cost model, paired scoring
--- Command finished with exit code: 0 ---
tool call: write
{"content": "// solve.c \u2014 fast shortest round-trip float32 printing.\n// Schubfach algorithm (Raffaello Giulietti, \"The Schubfach way to render\n// doubles\", 2020), 32-bit variant, following Alexander Bolz's Drachennest\n// formulation, with per-exponent precomputed tables and a specialized\n// formatter for this task's format rules.\n#include <stdint.h>\n#include <stddef.h>\n#include <string.h>\n#include <stdbool.h>\n#include \"tables.h\"\n\nstatic const char DIGIT_TABLE[200] =\n \"00010203040506070809\"\n \"10111213141516171819\"\n \"20212223242526272829\"\n \"30313233343536373839\"\n \"40414243444546474849\"\n \"50515253545556575859\"\n \"60616263646566676869\"\n \"70717273747576777879\"\n \"80818283848586878889\"\n \"90919293949596979899\";\n\ntypedef unsigned __int128 u128;\n\n// Copy 8 bytes with an explicit register move (always inlined; the source\n// and destination may overlap because we load fully before storing).\nstatic inline void move8(char *dst, const char *src) {\n uint64_t t;\n memcpy(&t, src, 8);\n memcpy(dst, &t, 8);\n}\n\nstatic inline void fill8_zeros(char *dst) {\n const uint64_t z = 0x3030303030303030ull; // \"00000000\"\n memcpy(dst, &z, 8);\n}\n\n// Compress an exact 128-bit product g*cp to 32 bits, rounding to odd.\nstatic inline uint32_t round_to_odd128(u128 p) {\n const uint32_t y1 = (uint32_t)(uint64_t)(p >> 64);\n const uint32_t y0 = (uint32_t)((uint64_t)p >> 32);\n return y1 | (y0 > 1);\n}\n\n// Write the decimal digits
... [4960 chars truncated]
tool result
Updated /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c (207 lines):
24- static const int8_t TZ100[100] = {
25- 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,
26- 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
27- 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
28- 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
29- 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
30- 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
31- 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
32- 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
33- 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
34- 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
35- };
26+ // Copy 8 bytes with an explicit register move (always inlined; the source
27+ // and destination may overlap because we load fully before storing).
28+ static inline void move8(char *dst, const char *src) {
29+ uint64_t t;
30+ memcpy(&t, src, 8);
31+ memcpy(dst, &t, 8);
32+ }
34+ static inline void fill8_zeros(char *dst) {
...
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
verify 8.7s PASS
measure 0.1s 37,696,316 instructions (given: 7,923,401,327)
SCORE +7.7156 (210.190x)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF' > submission/tables.h\nfrom fractions import Fraction\n\ndef g_of(i):\n num = 10**i if i >= 0 else 1\n den = 1 if i >= 0 else 10**(-i)\n e = num.bit_length() - den.bit_length()\n if (num << max(0,-e)) < (den << max(0,e)):\n e -= 1\n e2 = e - 63\n if e2 >= 0:\n g = -(-num // (den << e2))\n else:\n g = -(-(num << (-e2)) // den)\n assert 2**63 <= g < 2**64\n return g\n\npows = {i: g_of(i) for i in range(-31, 46)}\nassert pows[-31] == 0x81CEB32C4B43FCF5\nassert pows[0] == 0x8000000000000000\nassert pows[-1] == 0xCCCCCCCCCCCCCCCD\nassert pows[45] == 0xB35DBF821AE4F38C\n\ndef asr(x, n): return x >> n\n\nprint(\"// auto-generated tables for schubfach float32\")\nprint(\"#include <stdint.h>\")\nprint(\"// g: 10^-k scaled to [2^63,2^64); k: decimal exponent; sh: shift so that\")\nprint(\"// (m<<sh)+hb equals (4c)<<h; hbl/hbr fold in -+ (2<<h) for the boundaries.\")\nprint(\"typedef struct { uint64_t g; int32_t k; uint32_t sh, hbl, hb, hbr; } exp_info_t;\")\nprint(\"static const exp_info_t EXP_INFO[255] = {\")\nfor e in range(255):\n q = (1 if e == 0 else e) - 150\n k = asr(q * 1262611, 22)\n h = q + asr(-k * 1741647, 19) + 1\n assert 1 <= h <= 4, (e, h)\n assert -31 <= -k <= 45\n g = pows[-k]\n sh = h + 2\n hb = (0x800000 << sh) if e != 0 else 0\n off = 2 << h\n assert hb + off < 2**32\n print(\" {0x%016Xull, %d, %du, %du,
... [1505 chars truncated]
tool result
done
--- Command finished with exit code: 0 ---
tool call: edit
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "new_string": " const exp_info_t ei = EXP_INFO[ieeeExponent];\n k = ei.k;\n\n const uint32_t ms = ieeeMantissa << ei.sh;\n const uint32_t vbl = round_to_odd128((u128)ei.g * (ms + ei.hbl));\n const uint32_t vb = round_to_odd128((u128)ei.g * (ms + ei.hb));\n const uint32_t vbr = round_to_odd128((u128)ei.g * (ms + ei.hbr));", "old_string": " const exp_info_t ei = EXP_INFO[ieeeExponent];\n k = ei.k;\n\n const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h\n const u128 pb = (u128)ei.g * base;\n const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)\n const uint32_t vbl = round_to_odd128(pb - d);\n const uint32_t vb = round_to_odd128(pb);\n const uint32_t vbr = round_to_odd128(pb + d);"}
tool result
Edited /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c: replaced 1 occurrence(s)
130- const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h
131- const u128 pb = (u128)ei.g * base;
132- const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)
133- const uint32_t vbl = round_to_odd128(pb - d);
134- const uint32_t vb = round_to_odd128(pb);
135- const uint32_t vbr = round_to_odd128(pb + d);
130+ const uint32_t ms = ieeeMantissa << ei.sh;
131+ const uint32_t vbl = round_to_odd128((u128)ei.g * (ms + ei.hbl));
132+ const uint32_t vb = round_to_odd128((u128)ei.g * (ms + ei.hb));
133+ const uint32_t vbr = round_to_odd128((u128)ei.g * (ms + ei.hbr));
Context after edit (lines 124-136):
124│ // Note: ieeeMantissa != 0 here, so the lower boundary is never the closer
125│ // one (that only happens for powers of two, which took the table path).
126│ {
127│ const exp_info_t ei = EXP_INFO[ieeeExponent];
128│ k = ei.k;
129│
130│ const uint32_t ms = ieeeMantissa << ei.sh;
131│ const uint32_t vbl = round_to_odd128((u128)ei.g * (ms + ei.hbl));
132│ const uint32_t vb = round_to_odd128((u128)ei.g * (ms + ei.hb));
133│ const uint32_t vbr = round_to_odd128((u128)ei.g * (ms + ei.hbr));
134│
135│ const uint32_t odd = ieeeMantissa & 1;
136│ const uint32_t lower = vbl + odd;
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
verify 9.3s PASS
measure 0.2s 38,188,407 instructions (given: 7,923,401,327)
SCORE +7.6968 (207.482x)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF' > submission/tables.h\nfrom fractions import Fraction\n\ndef g_of(i):\n num = 10**i if i >= 0 else 1\n den = 1 if i >= 0 else 10**(-i)\n e = num.bit_length() - den.bit_length()\n if (num << max(0,-e)) < (den << max(0,e)):\n e -= 1\n e2 = e - 63\n if e2 >= 0:\n g = -(-num // (den << e2))\n else:\n g = -(-(num << (-e2)) // den)\n assert 2**63 <= g < 2**64\n return g\n\npows = {i: g_of(i) for i in range(-31, 46)}\nassert pows[-31] == 0x81CEB32C4B43FCF5\nassert pows[0] == 0x8000000000000000\nassert pows[-1] == 0xCCCCCCCCCCCCCCCD\nassert pows[45] == 0xB35DBF821AE4F38C\n\ndef asr(x, n): return x >> n\n\nprint(\"// auto-generated tables for schubfach float32\")\nprint(\"#include <stdint.h>\")\nprint(\"// g: 10^-k scaled to [2^63,2^64); dhi:dlo = g << (h+1); k: decimal exponent;\")\nprint(\"// sh: shift so that base=(m<<sh)+hb equals (4c)<<h; hb: hidden-bit part.\")\nprint(\"typedef struct { uint64_t g, dhi, dlo; int32_t k; uint32_t sh, hb; } exp_info_t;\")\nprint(\"static const exp_info_t EXP_INFO[255] = {\")\nfor e in range(255):\n q = (1 if e == 0 else e) - 150\n k = asr(q * 1262611, 22)\n h = q + asr(-k * 1741647, 19) + 1\n assert 1 <= h <= 4, (e, h)\n assert -31 <= -k <= 45\n g = pows[-k]\n sh = h + 2\n hb = (0x800000 << sh) if e != 0 else 0\n assert hb < 2**32\n d = g << (h + 1)\n dhi, dlo = d >> 64, d & ((1<<64)-1)\
... [1336 chars truncated]
tool result
ok
--- Command finished with exit code: 0 ---
tool call: edit
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "new_string": " const exp_info_t ei = EXP_INFO[ieeeExponent];\n k = ei.k;\n\n const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h\n const u128 pb = (u128)ei.g * base;\n const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)\n const uint32_t vbl = round_to_odd128(pb - d);\n const uint32_t vb = round_to_odd128(pb);\n const uint32_t vbr = round_to_odd128(pb + d);", "old_string": " const exp_info_t ei = EXP_INFO[ieeeExponent];\n k = ei.k;\n\n const uint32_t ms = ieeeMantissa << ei.sh;\n const uint32_t vbl = round_to_odd128((u128)ei.g * (ms + ei.hbl));\n const uint32_t vb = round_to_odd128((u128)ei.g * (ms + ei.hb));\n const uint32_t vbr = round_to_odd128((u128)ei.g * (ms + ei.hbr));"}
tool result
Edited /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c: replaced 1 occurrence(s)
130- const uint32_t ms = ieeeMantissa << ei.sh;
131- const uint32_t vbl = round_to_odd128((u128)ei.g * (ms + ei.hbl));
132- const uint32_t vb = round_to_odd128((u128)ei.g * (ms + ei.hb));
133- const uint32_t vbr = round_to_odd128((u128)ei.g * (ms + ei.hbr));
130+ const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h
131+ const u128 pb = (u128)ei.g * base;
132+ const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)
133+ const uint32_t vbl = round_to_odd128(pb - d);
134+ const uint32_t vb = round_to_odd128(pb);
135+ const uint32_t vbr = round_to_odd128(pb + d);
Context after edit (lines 124-138):
124│ // Note: ieeeMantissa != 0 here, so the lower boundary is never the closer
125│ // one (that only happens for powers of two, which took the table path).
126│ {
127│ const exp_info_t ei = EXP_INFO[ieeeExponent];
128│ k = ei.k;
129│
130│ const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h
131│ const u128 pb = (u128)ei.g * base;
132│ const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)
133│ const uint32_t vbl = round_to_odd128(pb - d);
134│ const uint32_t vb = round_to_odd128(pb);
135│ const uint32_t vbr = round_to_odd128(pb + d);
136│
137│ const uint32_t odd = ieeeMantissa & 1;
138│ const uint32_t lower = vbl + odd;
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
verify 9.1s PASS
measure 0.2s 37,696,316 instructions (given: 7,923,401,327)
SCORE +7.7156 (210.190x)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && grep -E \"^events:|^positions:|^summary\" callgrind.runner.out | head; head -30 callgrind.runner.out"}
tool result
positions: line
events: Ir
summary: 7442285
# callgrind format
version: 1
creator: callgrind-3.25.1
pid: 106850
cmd: /tmp/bench4-jc-float-print/tasks/float-print/.build/runner /tmp/bench4-jc-float-print/tasks/float-print/.build/corpus_7.bin
part: 1
desc: I1 cache:
desc: D1 cache:
desc: LL cache:
desc: Timerange: Basic block 0 - 1056076
desc: Trigger: Program termination
positions: line
events: Ir
summary: 7442285
ob=(1) /usr/lib/ld-linux-x86-64.so.2
fl=(1) ???
fn=(0) 0x000000000001ec00
cob=(6) /tmp/bench4-jc-float-print/tasks/float-print/.build/runner
cfi=(6) ???
cfn=(3950) (below main)
calls=1 0
0 7442285
ob=(6)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && head -12 submission/solve.c"}
tool result
// solve.c — fast shortest round-trip float32 printing.
// Schubfach algorithm (Raffaello Giulietti, "The Schubfach way to render
// doubles", 2020), 32-bit variant, following Alexander Bolz's Drachennest
// formulation, with per-exponent precomputed tables and a specialized
// formatter for this task's format rules.
#include <stdint.h>
#include <stddef.h>
#include <string.h>
#include <stdbool.h>
#include "tables.h"
static const char DIGIT_TABLE[200] =
--- Command finished with exit code: 0 ---
assistant
Let me check for non-inlined library calls inside float_print, since the grader double-counts call costs:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && objdump -d .build/runner | awk '/<float_print>:/,/^$/' | grep -E 'call' "}
tool result
--- Command finished with exit code: 1 ---
Exit code: 1
assistant
Now let me restructure to skip the strip loop for the plain-integer path:
tool call: read
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "start_line": 140}
tool result
140
141 const uint32_t s = vb / 4;
142 if (s >= 10) {
143 const uint32_t sp = s / 10;
144 const uint32_t sp40 = 40 * sp;
145 const bool up_inside = lower <= sp40;
146 const bool wp_inside = sp40 + 40 <= upper;
147 if (up_inside != wp_inside) {
148 digits = sp + wp_inside;
149 k += 1;
150 goto strip;
151 }
152 }
153 {
154 const bool u_inside = lower <= 4 * s;
155 const bool w_inside = 4 * s + 4 <= upper;
156 if (u_inside != w_inside) {
157 digits = s + w_inside;
158 goto strip;
159 }
160 }
161 const uint32_t mid = 4 * s + 2;
162 digits = s + (vb > mid || (vb == mid && (s & 1)));
163 }
164 strip:
165 // Rounding may produce trailing zeros; strip them so the fraction never
166 // ends in '0' and the significant digit count stays minimal.
167 while (digits % 10 == 0) { digits /= 10; ++k; }
168
169 format:;
170 const uint32_t olength = decimal_length9(digits);
171 const int32_t dp = (int32_t)olength + k; // decimal point position
172
173 if (k >= 0) {
174 if (dp <= 9) {
175 // digits followed by k zeros: plain integer, e.g. "1200".
176 write_digits(digits, p, olength);
177 fill8_zeros(p + olength); // k <= 8 here
178 return (size_t)(p - out) + (uint32_t)dp;
179 }
180 } else if (dp > 0) {
181 // dig.its (dp < olength since k < 0)
182 write_digits(digits, p, olength);
183 move8(p + dp + 1, p + dp);
184 p[dp] = '.';
185 return (size_t)(p - out) + olength + 1;
186 } else if (dp >= -3) {
187 // 0.[000]digits
188 memcpy(p, "0.000", 5);
189 p += 2 - dp;
190 write_digits(digits, p, olength);
191 return (size_t)(p - out) + olength;
192 }
193
194 // Scientific: d[.igits]e[-]E
195 write_digits(digits, p, olength);
196 uint32_t len = olength + 1;
197 if (olength > 1) {
198 move8(p + 2, p + 1);
199 p[1] = '.';
200 } else {
201 len = 1;
202 }
203 p += len;
204 const etab_t *et = &ETAB[dp - 1 + 45];
205 memcpy(p, et->s, 4);
206 return (size_t)(p - out) + et->len;
207 }
assistant
Let me instrument to see how often the strip loop runs and which format paths are hot:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/instr.c <<'EOF'\n#include <stdint.h>\n#include <stdio.h>\n#include <stdlib.h>\n#include <string.h>\nsize_t float_print(float f, char *out);\n// recompile solve.c with instrumentation? simpler: replicate classification\nint main(int argc, char**argv){\n FILE *fp=fopen(argv[1],\"rb\");\n fseek(fp,0,SEEK_END); long sz=ftell(fp); fseek(fp,0,SEEK_SET);\n uint32_t *b=malloc(sz); fread(b,1,sz,fp); fclose(fp);\n size_t n=sz/4;\n long special=0, zero=0, intpath=0, schub=0;\n long striph[12]={0};\n long fmt_int=0, fmt_mid=0, fmt_small=0, fmt_sci=0;\n for(size_t i=0;i<n;i++){\n uint32_t bits=b[i];\n uint32_t m=bits&0x7FFFFF, e=bits>>23&0xFF;\n if(e==0xFF){special++;continue;}\n if(m==0&&e==0){zero++;continue;}\n if(m==0){schub++;continue;} // pow2 table\n if(e>=127&&e<=150){uint32_t sh=150-e; if((m&((1u<<sh)-1))==0){intpath++;continue;}}\n schub++;\n }\n printf(\"special %ld zero %ld intpath %ld schub %ld\\n\",special,zero,intpath,schub);\n // now run float_print and classify outputs\n char out[40];\n for(size_t i=0;i<n;i++){\n float f; memcpy(&f,&b[i],4);\n size_t r=float_print(f,out); out[r]=0;\n if(strchr(out,'e')) fmt_sci++;\n else if(strchr(out,'.')) { if(out[strchr(out,'.')-out-1>=0?0:0]=='0'&&out[0]=='0') fmt_small++; else fmt_mid++; }\n else fmt_int++;\n }\n printf(\"int %ld mid %ld small %ld sci %ld\\n\",fmt_int,fmt_mid,fmt_small,fmt_sci);\n return 0;\n
... [119 chars truncated]
tool result
special 0 zero 0 intpath 12124 schub 37876
int 13925 mid 3901 small 10818 sci 21356
--- Command finished with exit code: 0 ---
assistant
Now let me optimize the strip loop with modular-inverse divisibility tricks and a branchless decimal length:
tool call: bash
{"command": "python3 -c \"\nprint('inv5 ', pow(5,-1,2**32), hex(pow(5,-1,2**32)))\nprint('inv25 ', pow(25,-1,2**32), hex(pow(25,-1,2**32)))\nprint('inv625', pow(625,-1,2**32), hex(pow(625,-1,2**32)))\nprint((2**32-1)//10, (2**32-1)//100, (2**32-1)//10000)\n\""}
tool result
inv5 3435973837 0xcccccccd
inv25 3264175145 0xc28f5c29
inv625 989560465 0x3afb7e91
429496729 42949672 429496
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF' > submission/tables.h\nfrom fractions import Fraction\n\ndef g_of(i):\n num = 10**i if i >= 0 else 1\n den = 1 if i >= 0 else 10**(-i)\n e = num.bit_length() - den.bit_length()\n if (num << max(0,-e)) < (den << max(0,e)):\n e -= 1\n e2 = e - 63\n if e2 >= 0:\n g = -(-num // (den << e2))\n else:\n g = -(-(num << (-e2)) // den)\n assert 2**63 <= g < 2**64\n return g\n\npows = {i: g_of(i) for i in range(-31, 46)}\nassert pows[-31] == 0x81CEB32C4B43FCF5\nassert pows[0] == 0x8000000000000000\nassert pows[-1] == 0xCCCCCCCCCCCCCCCD\nassert pows[45] == 0xB35DBF821AE4F38C\n\ndef asr(x, n): return x >> n\n\nout = []\nw = out.append\nw(\"// auto-generated tables for schubfach float32 (do not edit)\")\nw(\"#include <stdint.h>\")\nw(\"// g: 10^-k scaled to [2^63,2^64); dhi:dlo = g << (h+1); k: decimal exponent;\")\nw(\"// sh: shift so that base=(m<<sh)+hb equals (4c)<<h; hb: hidden-bit part.\")\nw(\"typedef struct { uint64_t g, dhi, dlo; int32_t k; uint32_t sh, hb; } exp_info_t;\")\nw(\"static const exp_info_t EXP_INFO[255] = {\")\nfor e in range(255):\n q = (1 if e == 0 else e) - 150\n k = asr(q * 1262611, 22)\n h = q + asr(-k * 1741647, 19) + 1\n assert 1 <= h <= 4, (e, h)\n assert -31 <= -k <= 45\n g = pows[-k]\n sh = h + 2\n hb = (0x800000 << sh) if e != 0 else 0\n d = g << (h + 1)\n w(\" {0x%016Xull, 0x%Xull, 0x%016Xull, %d,
... [2566 chars truncated]
tool result
2513772 submission/tables.h
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && objdump -d .build/runner | awk '/<float_print>:/,/^$/' | head -25 | grep -E 'fs:|push|sub' ; echo ---; objdump -d .build/runner | awk '/<float_print>:/,/^$/' | wc -l"}
tool result
1365: 41 55 push %r13
136d: 41 54 push %r12
1372: 55 push %rbp
137e: 53 push %rbx
---
788
--- Command finished with exit code: 0 ---
assistant
Let me instrument the range of `s` in the Schubfach core to specialize digit writing:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/range.c <<'EOF'\n#include <stdint.h>\n#include <stdio.h>\ntypedef unsigned __int128 u128;\n#include \"tables.h\"\nstatic inline uint32_t rto(u128 p){uint32_t y1=(uint32_t)(uint64_t)(p>>64);uint32_t y0=(uint32_t)((uint64_t)p>>32);return y1|(y0>1);}\nint main(void){\n uint32_t smin=~0u, smax=0; uint64_t cnt=0;\n for (uint64_t b=0; b<0x80000000ull; b+=997) { // sample\n uint32_t bits=(uint32_t)b;\n uint32_t m=bits&0x7FFFFF, e=bits>>23&0xFF;\n if(e==0xFF||m==0) continue;\n if(e>=127&&e<=150){uint32_t sh=150-e;if((m&((1u<<sh)-1))==0)continue;}\n const exp_info_t ei=EXP_INFO[e];\n uint32_t base=(m<<ei.sh)+ei.hb;\n uint32_t vb=rto((u128)ei.g*base);\n uint32_t s=vb/4;\n if(s<smin)smin=s;\n if(s>smax)smax=s;\n cnt++;\n }\n printf(\"s range [%u, %u] over %llu samples\\n\",smin,smax,(unsigned long long)cnt);\n return 0;\n}\nEOF\ncc -O2 /tmp/range.c -I submission -o /tmp/range && /tmp/range"}
tool result
s range [1397, 166150637] over 2128705 samples
--- Command finished with exit code: 0 ---
tool call: write
{"content": "// solve.c \u2014 fast shortest round-trip float32 printing.\n// Schubfach algorithm (Raffaello Giulietti, \"The Schubfach way to render\n// doubles\", 2020), 32-bit variant, following Alexander Bolz's Drachennest\n// formulation, with per-exponent precomputed tables and a table-driven\n// formatter specialized for this task's format rules.\n#include <stdint.h>\n#include <stddef.h>\n#include <string.h>\n#include <stdbool.h>\n#include \"tables.h\"\n\ntypedef unsigned __int128 u128;\n\n// NORM[len] = 10^(9-len): scales a len-digit number to exactly 9 digits.\nstatic const uint32_t NORM[10] = {\n 0, 100000000u, 10000000u, 1000000u, 100000u, 10000u, 1000u, 100u, 10u, 1u,\n};\n// P10[t] = 10^t (for the branchless decimal length).\nstatic const uint32_t P10[10] = {\n 1u, 10u, 100u, 1000u, 10000u, 100000u, 1000000u, 10000000u, 100000000u,\n 1000000000u,\n};\n\n// Number of decimal digits in v (v >= 1), branch-free.\nstatic inline uint32_t declen(uint32_t v) {\n const uint32_t t = (uint32_t)((32 - __builtin_clz(v)) * 1233) >> 12;\n return t + (v >= P10[t]);\n}\n\n// Write d9 (exactly 9 decimal digits, may include trailing pad zeros) plus\n// 3 more '0' pad bytes at p[0..12). Two table loads, two stores.\nstatic inline void write9(uint32_t d9, char *p) {\n const uint32_t a = (uint32_t)(((uint64_t)d9 * 0x68DB8BADull) >> 44); // /100000\n const uint32_t b = d9 - a * 100000u;\n memcpy(p, &T4[a], 4);\n memcpy(p + 4, &T5[b], 8);\n}\n\n// Copy 8 bytes via a register (s
... [5004 chars truncated]
tool result
Updated /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c (200 lines):
4- // formulation, with per-exponent precomputed tables and a specialized
5- // formatter for this task's format rules.
4+ // formulation, with per-exponent precomputed tables and a table-driven
5+ // formatter specialized for this task's format rules.
12- static const char DIGIT_TABLE[200] =
13- "00010203040506070809"
14- "10111213141516171819"
15- "20212223242526272829"
16- "30313233343536373839"
17- "40414243444546474849"
18- "50515253545556575859"
19- "60616263646566676869"
20- "70717273747576777879"
21- "80818283848586878889"
22- "90919293949596979899";
12+ typedef unsigned __int128 u128;
24- typedef unsigned __int128 u128;
14+ // NORM[len] = 10^(9-len): scales a len-digit number to exactly 9 digits.
15+ static const uint32_t NORM[10] = {
16+ 0, 100000000u, 10000000u, 1000000u, 100000u, 10000u, 1000u, 100u, 10u, 1u,
...
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
grade: FAIL (verification)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && .build/verify 7 2>&1 | head -5", "timeout": 120000}
tool result
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cc -O2 -std=c17 -I submission submission/solve.c verify/verify.c -o /tmp/v -lm -lpthread 2>&1 | head && /tmp/v 7 2>&1 | head -5; echo exit=$?", "timeout": 300000}
tool result
exit=0
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && /tmp/v 7; echo \"verify exit=$?\"", "timeout": 300000}
tool result
bash: line 1: 211745 Segmentation fault (core dumped) /tmp/v 7
verify exit=139
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/t.c <<'EOF'\n#include <stdint.h>\n#include <stdio.h>\n#include <string.h>\n#include <stdlib.h>\nsize_t float_print(float f, char *out);\nint main(void){\n char out[64];\n for (uint64_t b=0; b<=0xFFFFFFFFull; b+=12345) {\n uint32_t bits=(uint32_t)b;\n float f; memcpy(&f,&bits,4);\n size_t n=float_print(f,out);\n out[n]=0;\n float back=strtof(out,NULL);\n uint32_t bb; memcpy(&bb,&back,4);\n if(bb!=bits && !(bits>>23==0x1FF||((bits>>23)&0xFF)==0xFF)){\n printf(\"FAIL %08x -> '%s' -> %08x\\n\",bits,out,bb);\n if(b>1000000) return 1;\n }\n }\n puts(\"ok\");\n return 0;\n}\nEOF\ncc -O2 -g -fsanitize=address -std=c17 -I submission submission/solve.c /tmp/t.c -o /tmp/t && /tmp/t 2>&1 | head -30", "timeout": 300000}
tool result
AddressSanitizer:DEADLYSIGNAL
=================================================================
==213654==ERROR: AddressSanitizer: SEGV on unknown address 0x562f375855cc (pc 0x562f374af8a8 bp 0x0f7de3da0008 sp 0x7ffeb58c70f0 T0)
==213654==The signal is caused by a READ memory access.
#0 0x562f374af8a8 in write9 submission/solve.c:35
#1 0x562f374af8a8 in float_print submission/solve.c:188
#2 0x562f374af27c in main /tmp/t.c:11
#3 0x7fef214276c0 (/usr/lib/libc.so.6+0x276c0) (BuildId: ca0db5ab57a36507d61bbcf4988d344974331f19)
#4 0x7fef214277f8 in __libc_start_main (/usr/lib/libc.so.6+0x277f8) (BuildId: ca0db5ab57a36507d61bbcf4988d344974331f19)
#5 0x562f374af434 in _start (/tmp/t+0x2434) (BuildId: 33c6820877426522a018a36d76b081f1f0b96617)
==213654==Register values:
rax = 0x00007bef1ef00040 rbx = 0x00000000a3337050 rcx = 0x0000562f375855cc rdx = 0x0000000000000005
rdi = 0x00007bef1ef00040 rsi = 0x0000562f37574780 rbp = 0x00000f7de3da0008 rsp = 0x00007ffeb58c70f0
r8 = 0x00007bef1ed00040 r9 = 0x00007bef1ef00040 r10 = 0x0000000000004393 r11 = 0x00007bef1ef00040
r12 = 0x00000000ffffffd8 r13 = 0x00000000ffffffd3 r14 = 0x0000000000000000 r15 = 0x0000000000000005
AddressSanitizer can not provide additional info.
SUMMARY: AddressSanitizer: SEGV submission/solve.c:35 in write9
==213654==ABORTING
--- Command finished with exit code: 0 ---
assistant
Let me find the failing input:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/dbg.c <<'EOF'\n#include <stdint.h>\n#include <stdio.h>\n#include <string.h>\ntypedef unsigned __int128 u128;\n#include \"tables.h\"\nstatic inline uint32_t rto(u128 p){uint32_t y1=(uint32_t)(uint64_t)(p>>64);uint32_t y0=(uint32_t)((uint64_t)p>>32);return y1|(y0>1);}\nstatic inline uint32_t rotr32(uint32_t x, unsigned r){return (x>>r)|(x<<(32-r));}\nint main(void){\n uint32_t maxd=0, argb=0;\n for (uint64_t b=0; b<=0xFFFFFFFFull; b+=127) {\n uint32_t bits=(uint32_t)b;\n uint32_t m=bits&0x7FFFFF, e=bits>>23&0xFF;\n if(e==0xFF||m==0) continue;\n if(e>=127&&e<=150){uint32_t sh=150-e;if((m&((1u<<sh)-1))==0)continue;}\n const exp_info_t ei=EXP_INFO[e];\n uint32_t base=(m<<ei.sh)+ei.hb;\n u128 pb=(u128)ei.g*base;\n u128 d=((u128)ei.dhi<<64)|ei.dlo;\n uint32_t vbl=rto(pb-d), vb=rto(pb), vbr=rto(pb+d);\n uint32_t odd=m&1, lower=vbl+odd, upper=vbr-odd;\n uint32_t s=vb/4;\n uint32_t digits;\n if(s>=10){\n uint32_t sp=s/10, sp40=40*sp;\n int up=(lower<=sp40), wp=(sp40+40<=upper);\n if(up!=wp){digits=sp+wp; goto got;}\n }\n {\n int u=(lower<=4*s), w=(4*s+4<=upper);\n if(u!=w){digits=s+w; goto got;}\n }\n digits=s+((vb>4*s+2)||(vb==4*s+2&&(s&1)));\ngot:\n // strip ladder\n {\n uint32_t q1=rotr32(digits*INV5P[1],1);\n if(q1<=429496729u){\n uint32_t q=rotr32(digits*INV5P[4],4);\n if(q<=429496u){digits=q;q=rotr32
... [412 chars truncated]
tool result
max digits 166121115 at bits f9fff33a
--- Command finished with exit code: 0 ---
assistant
The T4 index hit 17299, meaning d9 exceeded 9 digits. Let me find the exact input:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/dbg2.c <<'EOF'\n#include <stdint.h>\n#include <stdio.h>\n#include <string.h>\nsize_t float_print(float f, char *out);\nint main(void){\n char out[256];\n for (uint64_t b=0; b<=0xFFFFFFFFull; b+=12345) {\n uint32_t bits=(uint32_t)b;\n fprintf(stderr,\"%08x\\r\",bits);\n float f; memcpy(&f,&bits,4);\n float_print(f,out);\n }\n puts(\"done\");\n return 0;\n}\nEOF\ncc -O0 -g -std=c17 -I submission submission/solve.c /tmp/dbg2.c -o /tmp/dbg2 && /tmp/dbg2 2>/dev/null || echo crashed; \n# bisect: run under gdb-less approach, print last bits\ncc -O2 -std=c17 -I submission submission/solve.c /tmp/dbg2.c -o /tmp/dbg2b && /tmp/dbg2b 2>&1 | tail -c 40", "timeout": 300000}
tool result
bash: line 18: 219034 Segmentation fault (core dumped) /tmp/dbg2 2> /dev/null
crashed
00000000
00003039
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/dbg3.c <<'EOF'\n#include <stdint.h>\n#include <stdio.h>\n#include <string.h>\nsize_t float_print(float f, char *out);\nint main(void){\n char out[256];\n uint32_t bits=0x3039; // first tested value after 0\n float f; memcpy(&f,&bits,4);\n size_t n=float_print(f,out); out[n]=0;\n printf(\"bits %08x -> '%s' (%zu)\\n\",bits,out,n);\n return 0;\n}\nEOF\ncc -O0 -g -std=c17 -I submission submission/solve.c /tmp/dbg3.c -o /tmp/dbg3 && gdb -batch -ex run -ex bt /tmp/dbg3 2>&1 | tail -20", "timeout": 120000}
tool result
This GDB supports auto-downloading debuginfo from the following URLs:
<https://debuginfod.archlinux.org>
Enable debuginfod for this session? (y or [n]) [answered N; input not from terminal]
Debuginfod has been disabled.
To make this setting permanent, add 'set debuginfod enabled off' to .gdbinit.
[Thread debugging using libthread_db enabled]
Using host libthread_db library "/usr/lib/libthread_db.so.1".
Program received signal SIGSEGV, Segmentation fault.
write9 (d9=172990000, p=0x7fffffffdc50 "9000") at submission/solve.c:36
36 memcpy(p + 4, &T5[b], 8);
#0 write9 (d9=172990000, p=0x7fffffffdc50 "9000") at submission/solve.c:36
#1 0x0000555555555a3c in float_print (f=1.72990295e-41, out=0x7fffffffdc50 "9000") at submission/solve.c:188
#2 0x0000555555555b31 in main () at /tmp/dbg3.c:9
--- Command finished with exit code: 0 ---
assistant
The magic constant divides by 10000, not 100000. Fix:
tool call: bash
{"command": "python3 -c \"\nmagic = -(-2**44 // 100000)\nprint(magic, hex(magic))\n# verify for all 9-digit values (sample) and edge check\nbad=0\nfor v in list(range(0,1000000)) + list(range(999000000,1000000000)) + list(range(0,1000000000,997)):\n if (v*magic)>>44 != v//100000: bad+=1; print('bad',v); break\nprint('bad',bad)\n\""}
tool result
175921861 0xa7c5ac5
bad 999099997
bad 1
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "python3 -c \"\n# find magic for /100000 valid up to 10^9-1 using shift 60 or similar\nfor s in range(40, 64):\n magic = -(-2**s // 100000)\n ok = True\n # check bounds analytically: need floor(v*m/2^s)==floor(v/100000) for v<2^30\n # sufficient: m*10^5 - 2^s < 2^s/ (vmax) *? just brute test edges\n for v in range(99999, 10**9, 100000):\n for d in (0,1,-1):\n x=v+d\n if x<0: continue\n if (x*magic)>>s != x//100000: ok=False; break\n if not ok: break\n if ok:\n print('shift',s,'magic',magic,hex(magic), magic.bit_length())\n break\n\""}
tool result
shift 45 magic 351843721 0x14f8b589 29
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "python3 -c \"\nmagic=351843721; s=45\nbad=0\nfor v in range(0,10**9,991):\n if (v*magic)>>s != v//100000: bad+=1\nfor v in range(10**9-100000,10**9):\n if (v*magic)>>s != v//100000: bad+=1\nprint('bad',bad)\n\""}
tool result
bad 0
--- Command finished with exit code: 0 ---
tool call: edit
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "new_string": " const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000", "old_string": " const uint32_t a = (uint32_t)(((uint64_t)d9 * 0x68DB8BADull) >> 44); // /100000"}
tool result
Edited /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c: replaced 1 occurrence(s)
33- const uint32_t a = (uint32_t)(((uint64_t)d9 * 0x68DB8BADull) >> 44); // /100000
33+ const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000
Context after edit (lines 30-36):
30│ // Write d9 (exactly 9 decimal digits, may include trailing pad zeros) plus
31│ // 3 more '0' pad bytes at p[0..12). Two table loads, two stores.
32│ static inline void write9(uint32_t d9, char *p) {
33│ const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000
34│ const uint32_t b = d9 - a * 100000u;
35│ memcpy(p, &T4[a], 4);
36│ memcpy(p + 4, &T5[b], 8);
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
MISMATCH on bits 0x0a61f800 (1.088e-32): round-trip failed: '1.087' -> 3f8b22d1 != 0a61f800
grade: FAIL (verification)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/one.c <<'EOF'\n#include <stdint.h>\n#include <stdio.h>\n#include <string.h>\nsize_t float_print(float f, char *out);\nint main(void){\n uint32_t tests[]={0x0a61f800u, 0x3f8ccccdu, 0x00000001u, 0x7f7fffffu};\n char out[64];\n for(int i=0;i<4;i++){\n float f; memcpy(&f,&tests[i],4);\n size_t n=float_print(f,out); out[n]=0;\n printf(\"%08x -> '%s'\\n\",tests[i],out);\n }\n return 0;\n}\nEOF\ncc -O2 -std=c17 -I submission submission/solve.c /tmp/one.c -o /tmp/one && /tmp/one"}
tool result
0a61f800 -> '1.087'
3f8ccccd -> '1.1'
00000001 -> '1e-45'
7f7fffff -> '3.4028235e38'
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/one2.c <<'EOF'\n#include <stdint.h>\n#include <stdio.h>\n#include <string.h>\ntypedef unsigned __int128 u128;\n#include \"tables.h\"\nstatic inline uint32_t rto(u128 p){uint32_t y1=(uint32_t)(uint64_t)(p>>64);uint32_t y0=(uint32_t)((uint64_t)p>>32);return y1|(y0>1);}\nstatic inline uint32_t rotr32(uint32_t x, unsigned r){return (x>>r)|(x<<(32-r));}\nint main(void){\n uint32_t bits=0x0a61f800u;\n uint32_t m=bits&0x7FFFFF, e=bits>>23&0xFF;\n const exp_info_t ei=EXP_INFO[e];\n uint32_t base=(m<<ei.sh)+ei.hb;\n u128 pb=(u128)ei.g*base;\n u128 d=((u128)ei.dhi<<64)|ei.dlo;\n uint32_t vbl=rto(pb-d), vb=rto(pb), vbr=rto(pb+d);\n uint32_t odd=m&1, lower=vbl+odd, upper=vbr-odd;\n uint32_t s=vb/4;\n printf(\"m=%u e=%u k=%d s=%u lower=%u upper=%u vb=%u\\n\",m,e,ei.k,s,lower,upper,vb);\n uint32_t digits; int32_t k=ei.k;\n uint32_t sp=s/10, sp40=40*sp;\n int up=(lower<=sp40), wp=(sp40+40<=upper);\n printf(\"sp=%u up=%d wp=%d\\n\",sp,up,wp);\n if(up!=wp){digits=sp+wp;k+=1;}\n else {\n int u=(lower<=4*s), w=(4*s+4<=upper);\n if(u!=w)digits=s+w;\n else digits=s+((vb>4*s+2)||(vb==4*s+2&&(s&1)));\n }\n printf(\"digits=%u k=%d\\n\",digits,k);\n uint32_t q1=rotr32(digits*INV5P[1],1);\n printf(\"q1=%u thresh=429496729\\n\",q1);\n if(q1<=429496729u){\n uint32_t q=rotr32(digits*INV5P[4],4);\n printf(\"q4=%u thresh=429496\\n\",q);\n if(q<=429496u){digits=q;k+=4;q=rotr32(digits*INV5P[4],4)
... [317 chars truncated]
tool result
m=6420480 e=20 k=-40 s=108799995 lower=435199967 upper=435199997 vb=435199983
sp=10879999 up=0 wp=0
digits=108799996 k=-40
q1=1728866918 thresh=429496729
stripped digits=108799996 k=-40
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cc -O0 -g -std=c17 -I submission submission/solve.c /tmp/one.c -o /tmp/oneg && /tmp/oneg"}
tool result
0a61f800 -> '1.087'
3f8ccccd -> '1.1'
00000001 -> '1e-45'
7f7fffff -> '3.4028235e38'
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/one3.c <<'EOF'\n#include <stdint.h>\n#include <stdio.h>\n#include <string.h>\nsize_t float_print(float f, char *out);\nint main(void){\n uint32_t bits=0x0a61f800u;\n char out[64];\n memset(out,'#',63);\n float f; memcpy(&f,&bits,4);\n size_t n=float_print(f,out);\n printf(\"n=%zu raw='%.20s'\\n\",n,out);\n return 0;\n}\nEOF\ncc -O2 -std=c17 -I submission submission/solve.c /tmp/one3.c -o /tmp/one3 && /tmp/one3"}
tool result
n=14 raw='1.087'
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/one4.c <<'EOF'\n#include <stdint.h>\n#include <stdio.h>\n#include <string.h>\nsize_t float_print(float f, char *out);\nint main(void){\n uint32_t bits=0x0a61f800u;\n char out[64];\n memset(out,'#',63);\n float f; memcpy(&f,&bits,4);\n size_t n=float_print(f,out);\n for(size_t i=0;i<20;i++) printf(\"%02x \",(unsigned char)out[i]);\n printf(\"\\nn=%zu\\n\",n);\n return 0;\n}\nEOF\ncc -O2 -std=c17 -I submission submission/solve.c /tmp/one4.c -o /tmp/one4 && /tmp/one4"}
tool result
31 2e 30 38 37 00 00 00 00 00 65 2d 33 32 23 23 23 23 23 23
n=14
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/gen_tables.py <<'EOF'\nfrom fractions import Fraction\n\ndef g_of(i):\n num = 10**i if i >= 0 else 1\n den = 1 if i >= 0 else 10**(-i)\n e = num.bit_length() - den.bit_length()\n if (num << max(0,-e)) < (den << max(0,e)):\n e -= 1\n e2 = e - 63\n if e2 >= 0:\n g = -(-num // (den << e2))\n else:\n g = -(-(num << (-e2)) // den)\n assert 2**63 <= g < 2**64\n return g\n\npows = {i: g_of(i) for i in range(-31, 46)}\nassert pows[-31] == 0x81CEB32C4B43FCF5\nassert pows[0] == 0x8000000000000000\nassert pows[-1] == 0xCCCCCCCCCCCCCCCD\nassert pows[45] == 0xB35DBF821AE4F38C\n\ndef asr(x, n): return x >> n\n\nout = []\nw = out.append\nw(\"// auto-generated tables for schubfach float32 (do not edit; see task notes)\")\nw(\"#include <stdint.h>\")\nw(\"// g: 10^-k scaled to [2^63,2^64); dhi:dlo = g << (h+1); k: decimal exponent;\")\nw(\"// sh: shift so that base=(m<<sh)+hb equals (4c)<<h; hb: hidden-bit part.\")\nw(\"typedef struct { uint64_t g, dhi, dlo; int32_t k; uint32_t sh, hb; } exp_info_t;\")\nw(\"static const exp_info_t EXP_INFO[255] = {\")\nfor e in range(255):\n q = (1 if e == 0 else e) - 150\n k = asr(q * 1262611, 22)\n h = q + asr(-k * 1741647, 19) + 1\n assert 1 <= h <= 4, (e, h)\n assert -31 <= -k <= 45\n g = pows[-k]\n sh = h + 2\n hb = (0x800000 << sh) if e != 0 else 0\n d = g << (h + 1)\n w(\" {0x%016Xull, 0x%Xull, 0x%016
... [2342 chars truncated]
tool result
verify 3.3s PASS
measure 0.1s 31,004,924 instructions (given: 7,923,401,327)
SCORE +7.9975 (255.553x)
--- Command finished with exit code: 0 ---
assistant
+8.0 essentially (255x). Profile again:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | sed -n '/Auto-annotated/,$p' | grep -vE '^\\s+\\.\\s' | sed -n 4,100p"}
tool result
-- line 18 ----------------------------------------
200,000 ( 3.32%) const uint32_t t = (uint32_t)((32 - __builtin_clz(v)) * 1233) >> 12;
200,000 ( 3.32%) return t + (v >= P10[t]);
150,000 ( 2.49%) const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000
87,876 ( 1.46%) const uint32_t b = d9 - a * 100000u;
150,000 ( 2.49%) memcpy(p, &T4[a], 4);
162,124 ( 2.69%) memcpy(p + 4, &T5[b], 8);
24,521 ( 0.41%) memcpy(&t, src, 8);
24,521 ( 0.41%) memcpy(dst, &t, 8);
65,816 ( 1.09%) return (x >> r) | (x << (32 - r));
37,773 ( 0.63%) const uint32_t y1 = (uint32_t)(uint64_t)(p >> 64);
566,595 ( 9.42%) return y1 | (y0 > 1);
250,000 ( 4.15%) size_t float_print(float f, char *out) {
50,000 ( 0.83%) memcpy(&bits, &f, 4);
100,000 ( 1.66%) const uint32_t ieeeMantissa = bits & 0x7FFFFFu;
150,000 ( 2.49%) const uint32_t ieeeExponent = bits >> 23 & 0xFFu;
100,000 ( 1.66%) if (__builtin_expect(ieeeExponent == 0xFF, 0)) {
50,000 ( 0.83%) *p = '-';
200,000 ( 3.32%) p += bits >> 31;
100,000 ( 1.66%) if (__builtin_expect(ieeeMantissa == 0, 0)) {
206 ( 0.00%) if (ieeeExponent == 0) {
206 ( 0.00%) digits = POW2_DEC[ieeeExponent].digits;
103 ( 0.00%) k = POW2_DEC[ieeeExponent].k;
103 ( 0.00%) goto format;
149,691 ( 2.49%) if (ieeeExponent - 127u <= 23u) { // e in [127,150] -> maybe exact integer
31,290 ( 0.52%) const uint32_t shift = 150 - ieeeExponent; // 0..23
78,225 ( 1.30%) if ((ieeeMantissa & ((1u << shift) - 1)) == 0) {
24,248 ( 0.40%) const uint32_t m = (0x800000u | ieeeMantissa) >> shift;
24,248 ( 0.40%) write9(m * NORM[n], p);
12,124 ( 0.20%) return (size_t)(p - out) + n;
151,092 ( 2.51%) const exp_info_t ei = EXP_INFO[ieeeExponent];
75,546 ( 1.26%) const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h
75,546 ( 1.26%) const u128 pb = (u128)ei.g * base;
151,092 ( 2.51%) const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)
151,092 ( 2.51%) const uint32_t vbl = round_to_odd128(pb - d);
75,546 ( 1.26%) const uint32_t vbr = round_to_odd128(pb + d);
37,773 ( 0.63%) const uint32_t odd = ieeeMantissa & 1;
37,773 ( 0.63%) const uint32_t lower = vbl + odd;
75,546 ( 1.26%) const uint32_t upper = vbr - odd;
75,546 ( 1.26%) const uint32_t s = vb / 4;
75,546 ( 1.26%) if (s >= 10) {
151,092 ( 2.51%) const uint32_t sp = s / 10;
7
... [2558 chars truncated]
assistant
Let me shrink the EXP_INFO struct (compute `d` via shift instead of loading it):
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\n# patch gen script: emit smaller struct\nimport re\nsrc = open('/tmp/gen_tables.py').read()\nsrc = src.replace(\n'''w(\"// g: 10^-k scaled to [2^63,2^64); dhi:dlo = g << (h+1); k: decimal exponent;\")\nw(\"// sh: shift so that base=(m<<sh)+hb equals (4c)<<h; hb: hidden-bit part.\")\nw(\"typedef struct { uint64_t g, dhi, dlo; int32_t k; uint32_t sh, hb; } exp_info_t;\")''',\n'''w(\"// g: 10^-k scaled to [2^63,2^64); k: decimal exponent; sh = h+2 so that\")\nw(\"// base=(m<<sh)+hb equals (4c)<<h; hb: hidden-bit part; d = g<<(sh-1).\")\nw(\"typedef struct { uint64_t g; int32_t k; uint32_t sh, hb; } exp_info_t;\")''')\nsrc = src.replace(\n''' d = g << (h + 1)\n w(\" {0x%016Xull, 0x%Xull, 0x%016Xull, %d, %du, %du},\" % (g, d >> 64, d & ((1<<64)-1), k, sh, hb))''',\n''' w(\" {0x%016Xull, %d, %du, %du},\" % (g, k, sh, hb))''')\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h && cp /tmp/gen_tables.py submission/gen_tables.py.txt && grep -n \"typedef struct\" submission/tables.h | head -3"}
tool result
5:typedef struct { uint64_t g; int32_t k; uint32_t sh, hb; } exp_info_t;
263:typedef struct { uint32_t digits; int32_t k; } pow2_dec_t;
521:typedef struct { char s[4]; uint32_t len; } etab_t;
--- Command finished with exit code: 0 ---
tool call: edit
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "new_string": " const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h\n const u128 pb = (u128)ei.g * base;\n const u128 d = (u128)ei.g << (ei.sh - 1); // == g << (h+1)", "old_string": " const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h\n const u128 pb = (u128)ei.g * base;\n const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)"}
tool result
Edited /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c: replaced 1 occurrence(s)
109- const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)
109+ const u128 d = (u128)ei.g << (ei.sh - 1); // == g << (h+1)
Context after edit (lines 104-112):
104│ const exp_info_t ei = EXP_INFO[ieeeExponent];
105│ k = ei.k;
106│
107│ const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h
108│ const u128 pb = (u128)ei.g * base;
109│ const u128 d = (u128)ei.g << (ei.sh - 1); // == g << (h+1)
110│ const uint32_t vbl = round_to_odd128(pb - d);
111│ const uint32_t vb = round_to_odd128(pb);
112│ const uint32_t vbr = round_to_odd128(pb + d);
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
verify 3.3s PASS
measure 0.1s 31,949,249 instructions (given: 7,923,401,327)
SCORE +7.9542 (248.000x)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\nsrc = src.replace(\n'''w(\"// g: 10^-k scaled to [2^63,2^64); k: decimal exponent; sh = h+2 so that\")\nw(\"// base=(m<<sh)+hb equals (4c)<<h; hb: hidden-bit part; d = g<<(sh-1).\")\nw(\"typedef struct { uint64_t g; int32_t k; uint32_t sh, hb; } exp_info_t;\")''',\n'''w(\"// g: 10^-k scaled to [2^63,2^64); dhi:dlo = g << (h+1); k: decimal exponent;\")\nw(\"// sh: shift so that base=(m<<sh)+hb equals (4c)<<h; hb: hidden-bit part.\")\nw(\"typedef struct { uint64_t g, dhi, dlo; int32_t k; uint32_t sh, hb; } exp_info_t;\")''')\nsrc = src.replace(\n''' w(\" {0x%016Xull, %d, %du, %du},\" % (g, k, sh, hb))''',\n''' d = g << (h + 1)\n w(\" {0x%016Xull, 0x%Xull, 0x%016Xull, %d, %du, %du},\" % (g, d >> 64, d & ((1<<64)-1), k, sh, hb))''')\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h && cp /tmp/gen_tables.py submission/gen_tables.py.txt"}
tool result
--- Command finished with exit code: 0 ---
tool call: edit
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "new_string": " const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)", "old_string": " const u128 d = (u128)ei.g << (ei.sh - 1); // == g << (h+1)"}
tool result
Edited /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c: replaced 1 occurrence(s)
109- const u128 d = (u128)ei.g << (ei.sh - 1); // == g << (h+1)
109+ const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)
Context after edit (lines 106-112):
106│
107│ const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h
108│ const u128 pb = (u128)ei.g * base;
109│ const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)
110│ const uint32_t vbl = round_to_odd128(pb - d);
111│ const uint32_t vb = round_to_odd128(pb);
112│ const uint32_t vbr = round_to_odd128(pb + d);
assistant
Let me try a few micro-optimizations. First, check per-path costs and try `#pragma GCC optimize("O3")`:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -2 # confirm baseline restored", "timeout": 600000}
tool result
measure 0.1s 31,004,924 instructions (given: 7,923,401,327)
SCORE +7.9975 (255.553x)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp && curl -sL https://raw.githubusercontent.com/jk-jeon/dragonbox/master/simple/include/dragonbox/dragonbox_simple.h -o db_simple.h; wc -c db_simple.h; curl -sL https://api.github.com/repos/jk-jeon/dragonbox/contents/simple 2>/dev/null | grep '\"name\"'"}
tool result
14 db_simple.h
--- Command finished with exit code: 1 ---
Exit code: 1
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | sed -n '/PROGRAM TOTALS/,+12p'"}
tool result
6,017,335 (100.0%) PROGRAM TOTALS
--------------------------------------------------------------------------------
Ir file:function
--------------------------------------------------------------------------------
6,017,335 (100.0%) /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c:float_print [/tmp/bench4-jc-float-print/tasks/float-print/.build/runner]
--------------------------------------------------------------------------------
-- Auto-annotated source: /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c
--------------------------------------------------------------------------------
Ir
-- line 18 ----------------------------------------
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\n# add mask field to exp_info: mask for integer fast path test\nsrc = src.replace(\n'''w(\"typedef struct { uint64_t g, dhi, dlo; int32_t k; uint32_t sh, hb; } exp_info_t;\")''',\n'''w(\"// mask: integer-fast-path test mask ((m & mask)==0 iff value is an exact\")\nw(\"// integer < 2^24); 0x7FFFFF outside [127,150] so the test always fails.\")\nw(\"typedef struct { uint64_t g, dhi, dlo; int32_t k; uint32_t sh, hb, mask, ishift; } exp_info_t;\")''')\nsrc = src.replace(\n''' d = g << (h + 1)\n w(\" {0x%016Xull, 0x%Xull, 0x%016Xull, %d, %du, %du},\" % (g, d >> 64, d & ((1<<64)-1), k, sh, hb))''',\n''' d = g << (h + 1)\n if 127 <= e <= 150:\n ishift = 150 - e\n mask = (1 << ishift) - 1\n else:\n ishift = 0\n mask = 0x7FFFFF\n w(\" {0x%016Xull, 0x%Xull, 0x%016Xull, %d, %du, %du, %du, %du},\" % (g, d >> 64, d & ((1<<64)-1), k, sh, hb, mask, ishift))''')\n# add olength to pow2_dec\nsrc = src.replace(\n'''w(\"typedef struct { uint32_t digits; int32_t k; } pow2_dec_t;\")''',\n'''w(\"typedef struct { uint32_t digits; int32_t k; uint32_t olength; } pow2_dec_t;\")''')\nsrc = src.replace(\n'''entries = [\" {0, 0},\"]''',\n'''entries = [\" {0, 0, 0},\"]''')\nsrc = src.replace(\n''' entries.append(\" {%du, %d},\" % (d, k))''',\n''' entries.append(\" {%du, %d, %d},\" % (d, k, len(str(d))))''')\nopen('/tmp/gen_table
... [167 chars truncated]
tool result
// mask: integer-fast-path test mask ((m & mask)==0 iff value is an exact
// integer < 2^24); 0x7FFFFF outside [127,150] so the test always fails.
typedef struct { uint64_t g, dhi, dlo; int32_t k; uint32_t sh, hb, mask, ishift; } exp_info_t;
static const exp_info_t EXP_INFO[255] = {
--- Command finished with exit code: 0 ---
tool call: edit
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c", "new_string": " const exp_info_t ei = EXP_INFO[ieeeExponent];\n\n if ((ieeeMantissa & ei.mask) == 0) {\n // Exact integer in [1, 2^24): its own digits are shortest (trailing\n // zeros don't count as significant for integer outputs).\n const uint32_t m = (0x800000u | ieeeMantissa) >> ei.ishift;\n const uint32_t n = declen(m);\n write9(m * NORM[n], p);\n return (size_t)(p - out) + n;\n }\n\n // ---- Schubfach core ----\n // Note: ieeeMantissa != 0 here, so the lower boundary is never the closer\n // one (that only happens for powers of two, which took the table path).\n {\n k = ei.k;", "old_string": " if (ieeeExponent - 127u <= 23u) { // e in [127,150] -> maybe exact integer\n const uint32_t shift = 150 - ieeeExponent; // 0..23\n if ((ieeeMantissa & ((1u << shift) - 1)) == 0) {\n // Exact integer in [1, 2^24): its own digits are shortest (trailing\n // zeros don't count as significant for integer outputs).\n const uint32_t m = (0x800000u | ieeeMantissa) >> shift;\n const uint32_t n = declen(m);\n write9(m * NORM[n], p);\n return (size_t)(p - out) + n;\n }\n }\n\n // ---- Schubfach core ----\n // Note: ieeeMantissa != 0 here, so the lower boundary is never the closer\n // one (that only happens for powers of two, which took the table path).\n {\n const exp_info_t ei = EXP_INFO[ieeeExponent];\n k = ei.k;"}
tool result
Edited /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c: replaced 1 occurrence(s)
88- if (ieeeExponent - 127u <= 23u) { // e in [127,150] -> maybe exact integer
89- const uint32_t shift = 150 - ieeeExponent; // 0..23
90- if ((ieeeMantissa & ((1u << shift) - 1)) == 0) {
91- // Exact integer in [1, 2^24): its own digits are shortest (trailing
92- // zeros don't count as significant for integer outputs).
93- const uint32_t m = (0x800000u | ieeeMantissa) >> shift;
94- const uint32_t n = declen(m);
95- write9(m * NORM[n], p);
96- return (size_t)(p - out) + n;
97- }
88+ const exp_info_t ei = EXP_INFO[ieeeExponent];
90+ if ((ieeeMantissa & ei.mask) == 0) {
91+ // Exact integer in [1, 2^24): its own digits are shortest (trailing
92+ // zeros don't count as significant for integer outputs).
93+ const uint32_t m = (0x800000u | ieeeMantissa) >> ei.ishift;
94+ const uint32_t n = declen(m);
95+ write9(m * NORM[n], p);
96+ return (size_t)(p - out) + n;
104- const exp_info_t ei = EXP_INFO[ieeeExponent];
Context after edit (lines 85-106):
85│ goto format;
86│ }
87│
88│ const exp_info_t ei = EXP_INFO[ieeeExponent];
89│
90│ if ((ieeeMantissa & ei.mask) == 0) {
91│ // Exact integer in [1, 2^24): its own digits are shortest (trailing
92│ // zeros don't count as significant for integer outputs).
93│ const uint32_t m = (0x800000u | ieeeMantissa) >> ei.ishift;
94│ const uint32_t n = declen(m);
95│ write9(m * NORM[n], p);
96│ return (size_t)(p - out) + n;
97│ }
98│
99│ // ---- Schubfach core ----
100│ // Note: ieeeMantissa != 0 here, so the lower boundary is never the closer
101│ // one (that only happens for powers of two, which took the table path).
102│ {
103│ k = ei.k;
104│
105│ const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h
106│ const u128 pb = (u128)ei.g * base;
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
verify 3.5s PASS
measure 0.1s 30,938,560 instructions (given: 7,923,401,327)
SCORE +8.0006 (256.101x)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && objdump -d .build/runner | awk '/<float_print>:/,/^$/' | wc -l && objdump -d .build/runner | awk '/<float_print>:/,/^$/' | head -60"}
tool result
310
0000000000001340 <float_print>:
1340: 66 0f 7e c6 movd %xmm0,%esi
1344: 49 89 f9 mov %rdi,%r9
1347: 89 f2 mov %esi,%edx
1349: 89 f0 mov %esi,%eax
134b: c1 ea 17 shr $0x17,%edx
134e: 25 ff ff 7f 00 and $0x7fffff,%eax
1353: 0f b6 d2 movzbl %dl,%edx
1356: 81 fa ff 00 00 00 cmp $0xff,%edx
135c: 0f 84 ee 03 00 00 je 1750 <float_print+0x410>
1362: 89 f1 mov %esi,%ecx
1364: 41 56 push %r14
1366: c1 e9 1f shr $0x1f,%ecx
1369: 41 54 push %r12
136b: 55 push %rbp
136c: 53 push %rbx
136d: c6 07 2d movb $0x2d,(%rdi)
1370: 89 cf mov %ecx,%edi
1372: 4d 8d 04 39 lea (%r9,%rdi,1),%r8
1376: 85 c0 test %eax,%eax
1378: 0f 84 f2 03 00 00 je 1770 <float_print+0x430>
137e: 48 8d 14 52 lea (%rdx,%rdx,2),%rdx
1382: 4c 8d 15 f7 ec 0c 00 lea 0xcecf7(%rip),%r10 # d0080 <EXP_INFO>
1389: 48 c1 e2 04 shl $0x4,%rdx
138d: 49 01 d2 add %rdx,%r10
1390: 89 c2 mov %eax,%edx
1392: 41 23 52 24 and 0x24(%r10),%edx
1396: 0f 84 0c 02 00 00 je 15a8 <float_print+0x268>
139c: 41 8b 4a 1c mov 0x1c(%r10),%ecx
13a0: 49 8b 5a 08 mov 0x8(%r10),%rbx
13a4: 41 8b 6a 18 mov 0x18(%r10),%ebp
13a8: d3 e0 shl %cl,%eax
13aa: 41 03 42 20 add 0x20(%r10),%eax
13ae: 49 8b 4a 10 mov 0x10(%r10),%rcx
13b2: 49 89 db mov %rbx,%r11
13b5: 49 f7 22 mulq (%r10)
13b8: 49 89 ca mov %rcx,%r10
13bb: 48 89 c1 mov %rax,%rcx
13be: 49 89 c6 mov %rax,%r14
13c1: 48 89 d3 mov %rdx,%rbx
13c4: 49 89 d4 mov %rdx,%r12
13c7: 4c 29 d1 sub %r10,%rcx
13ca: 4c 19 db sbb %r11,%rbx
13cd: 49 c1 ee 21 shr $0x21,%r14
13d1: 41 0f 95 c6 setne %r14b
13d5: 45 0f b6 f6 movzbl %r14b,%r14d
13d9: 41 09 d6 or %edx,%r14d
13dc: 49 01 c2 add %rax,%r10
13df: 48 89 c8 mov %rcx,
... [577 chars truncated]
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | grep \"PROGRAM TOTALS\"; python3 -c \"print(30938560/50000)\""}
tool result
6,006,419 (100.0%) PROGRAM TOTALS
618.7712
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | sed -n '/Auto-annotated/,$p' | grep -vE '^\\s+\\.\\s' | sed -n 4,100p"}
tool result
-- line 18 ----------------------------------------
200,000 ( 3.33%) const uint32_t t = (uint32_t)((32 - __builtin_clz(v)) * 1233) >> 12;
200,000 ( 3.33%) return t + (v >= P10[t]);
150,000 ( 2.50%) const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000
87,876 ( 1.46%) const uint32_t b = d9 - a * 100000u;
150,000 ( 2.50%) memcpy(p, &T4[a], 4);
162,124 ( 2.70%) memcpy(p + 4, &T5[b], 8);
24,521 ( 0.41%) memcpy(&t, src, 8);
24,521 ( 0.41%) memcpy(dst, &t, 8);
65,816 ( 1.10%) return (x >> r) | (x << (32 - r));
37,773 ( 0.63%) const uint32_t y1 = (uint32_t)(uint64_t)(p >> 64);
566,595 ( 9.43%) return y1 | (y0 > 1);
250,000 ( 4.16%) size_t float_print(float f, char *out) {
50,000 ( 0.83%) memcpy(&bits, &f, 4);
100,000 ( 1.66%) const uint32_t ieeeMantissa = bits & 0x7FFFFFu;
150,000 ( 2.50%) const uint32_t ieeeExponent = bits >> 23 & 0xFFu;
100,000 ( 1.66%) if (__builtin_expect(ieeeExponent == 0xFF, 0)) {
50,000 ( 0.83%) *p = '-';
200,000 ( 3.33%) p += bits >> 31;
100,000 ( 1.66%) if (__builtin_expect(ieeeMantissa == 0, 0)) {
206 ( 0.00%) if (ieeeExponent == 0) {
412 ( 0.01%) digits = POW2_DEC[ieeeExponent].digits;
103 ( 0.00%) k = POW2_DEC[ieeeExponent].k;
103 ( 0.00%) goto format;
237,361 ( 3.95%) const exp_info_t ei = EXP_INFO[ieeeExponent];
149,691 ( 2.49%) if ((ieeeMantissa & ei.mask) == 0) {
36,372 ( 0.61%) const uint32_t m = (0x800000u | ieeeMantissa) >> ei.ishift;
24,248 ( 0.40%) write9(m * NORM[n], p);
12,124 ( 0.20%) return (size_t)(p - out) + n;
75,546 ( 1.26%) const uint32_t base = (ieeeMantissa << ei.sh) + ei.hb; // == (4c) << h
75,546 ( 1.26%) const u128 pb = (u128)ei.g * base;
151,092 ( 2.52%) const u128 d = ((u128)ei.dhi << 64) | ei.dlo; // == g << (h+1)
151,092 ( 2.52%) const uint32_t vbl = round_to_odd128(pb - d);
75,546 ( 1.26%) const uint32_t vbr = round_to_odd128(pb + d);
37,773 ( 0.63%) const uint32_t odd = ieeeMantissa & 1;
37,773 ( 0.63%) const uint32_t lower = vbl + odd;
75,546 ( 1.26%) const uint32_t upper = vbr - odd;
75,546 ( 1.26%) const uint32_t s = vb / 4;
75,546 ( 1.26%) if (s >= 10) {
151,092 ( 2.52%) const uint32_t sp = s / 10;
75,546 ( 1.26%) const uint32_t sp40 = 40 * sp;
75,546 ( 1.26%) const bool up_inside = lower <= sp40;
113,319 ( 1.89%) const bool wp_inside = sp40 + 40 <= upper;
75,5
... [2371 chars truncated]
tool call: bash
{"command": "cd /tmp && curl -sL https://raw.githubusercontent.com/jk-jeon/dragonbox/master/include/dragonbox/dragonbox.h -o dragonbox.h && wc -l dragonbox.h"}
tool result
4440 dragonbox.h
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp && grep -n \"compute_mul\\b\\|nearest, shorter\\|shorter_interval_case\\|remove_trailing_zeros\" dragonbox.h | head -20"}
tool result
2487: struct remove_trailing_zeros_traits;
2600: remove_trailing_zeros_traits<
2602: DecimalExponentType>::remove_trailing_zeros(significand, exponent);
2623: remove_trailing_zeros_traits<
2625: DecimalExponentType>::remove_trailing_zeros(significand, exponent);
3170: struct remove_trailing_zeros_traits<policy::trailing_zero::remove_t, ieee754_binary32,
3173: remove_trailing_zeros(detail::stdr::uint_least32_t& significand,
3203: struct remove_trailing_zeros_traits<policy::trailing_zero::remove_t, ieee754_binary64,
3206: remove_trailing_zeros(detail::stdr::uint_least64_t& significand,
3242: struct remove_trailing_zeros_traits<policy::trailing_zero::remove_compact_t, ieee754_binary32,
3245: remove_trailing_zeros(detail::stdr::uint_least32_t& significand,
3262: struct remove_trailing_zeros_traits<policy::trailing_zero::remove_compact_t, ieee754_binary64,
3265: remove_trailing_zeros(detail::stdr::uint_least64_t& significand,
3290: compute_mul(carrier_uint u, cache_entry_type const& cache) noexcept {
3314: compute_left_endpoint_for_shorter_interval_case(cache_entry_type const& cache,
3322: compute_right_endpoint_for_shorter_interval_case(cache_entry_type const& cache,
3330: compute_round_up_for_shorter_interval_case(cache_entry_type const& cache,
3347: compute_mul(carrier_uint u, cache_entry_type const& cache) noexcept {
3373: compute_left_endpoint_for_shorter_interval_case(cache_entry_type const& cache,
3381: compute_right_endpoint_for_shorter_interval_case(cache_entry_type const& cache,
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp && sed -n 3165,3200p dragonbox.h && sed -n '/normal interval case/,/^ }/p' dragonbox.h | head -120"}
tool result
////////////////////////////////////////////////////////////////////////////////////////
// Specializations of user-specializable templates used in the main algorithm.
////////////////////////////////////////////////////////////////////////////////////////
template <class DecimalExponentType>
struct remove_trailing_zeros_traits<policy::trailing_zero::remove_t, ieee754_binary32,
detail::stdr::uint_least32_t, DecimalExponentType> {
JKJ_FORCEINLINE static JKJ_CONSTEXPR14 void
remove_trailing_zeros(detail::stdr::uint_least32_t& significand,
DecimalExponentType& exponent) noexcept {
// See https://github.com/jk-jeon/rtz_benchmark.
// The idea of branchless search below is by reddit users r/pigeon768 and
// r/TheoreticalDumbass.
auto r = detail::bits::rotr<32>(
detail::stdr::uint_least32_t(significand * UINT32_C(184254097)), 4);
auto b = r < UINT32_C(429497);
auto s = DecimalExponentType(b);
significand = b ? r : significand;
r = detail::bits::rotr<32>(
detail::stdr::uint_least32_t(significand * UINT32_C(42949673)), 2);
b = r < UINT32_C(42949673);
s = s * 2 + b;
significand = b ? r : significand;
r = detail::bits::rotr<32>(
detail::stdr::uint_least32_t(significand * UINT32_C(1288490189)), 1);
b = r < UINT32_C(429496730);
s = s * 2 + b;
significand = b ? r : significand;
assert(detail::stdr::numeric_limits<DecimalExponentType>::max() - s >= exponent);
exponent += s;
}
};
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp && sed -n 2500,2660p dragonbox.h"}
tool result
static constexpr int total_bits = format::total_bits;
using carrier_uint = typename FormatTraits::carrier_uint;
using cache_entry_type = CacheEntryType;
static constexpr int cache_bits = int(cache_bits_);
struct compute_mul_result {
carrier_uint integer_part;
bool is_integer;
};
struct compute_mul_parity_result {
bool parity;
bool is_integer;
};
};
////////////////////////////////////////////////////////////////////////////////////////
// Policies.
////////////////////////////////////////////////////////////////////////////////////////
namespace detail {
template <class T>
struct dummy {};
}
namespace policy {
namespace sign {
JKJ_INLINE_VARIABLE struct ignore_t {
using sign_policy = ignore_t;
static constexpr bool return_has_sign = false;
#if defined(_MSC_VER) && !defined(__clang__)
// See
// https://developercommunity.visualstudio.com/t/Failure-to-optimize-intrinsics/10628226
template <class SignedSignificandBits, class DecimalSignificand,
class DecimalExponentType>
static constexpr decimal_fp<DecimalSignificand, DecimalExponentType, false, false>
handle_sign(
SignedSignificandBits,
decimal_fp<DecimalSignificand, DecimalExponentType, false, false> r) noexcept {
return {r.significand, r.exponent};
}
template <class SignedSignificandBits, class DecimalSignificand,
class DecimalExponentType>
static constexpr decimal_fp<DecimalSignificand, DecimalExponentType, false, true>
handle_sign(
SignedSignificandBits,
decimal_fp<DecimalSignificand, DecimalExponentType, false, true> r) noexcept {
return {r.significand, r.exponent, r.may_have_trailing_zeros};
}
#else
template <class SignedSignificandBits, class UnsignedDecimalFp>
static constexpr UnsignedDecimalFp handle_sign(SignedSignificandBits,
... [5963 chars truncated]
tool call: bash
{"command": "cd /tmp && grep -n \"Step 1\\|Step 2\\|Step 3\" dragonbox.h | head && sed -n '/JKJ_FORCEINLINE static JKJ_CONSTEXPR20 ReturnType compute_nearest/,/^ }$/p' dragonbox.h | head -200"}
tool result
3616: // Step 1: Schubfach multiplier calculation.
3652: // Step 2: Try larger divisor; remove trailing zeros if necessary.
3710: // Step 3: Find the significand with the smaller divisor.
3813: // Step 1: Schubfach multiplier calculation.
3852: // Step 2: Try larger divisor; remove trailing zeros if necessary.
3909: // Step 3: Find the significand with the smaller divisor.
3957: // Step 1: Schubfach multiplier calculation.
3983: // Step 2: Try larger divisor; remove trailing zeros if necessary.
4017: // Step 3: Find the significand with the small divisor.
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp && sed -n 3560,3790p dragonbox.h"}
tool result
--zi;
}
// If we don't accept the left endpoint or
// if the left endpoint is not an integer, increase it.
if (!interval_type.include_left_endpoint() ||
!is_left_endpoint_integer_shorter_interval(binary_exponent)) {
++xi;
}
// Try bigger divisor.
// zi is at most floor((f_c + 1/2) * 2^e * 10^k0).
// Substituting f_c = 2^p and k0 = -floor(log10(3 * 2^(e-2))), we get
// zi <= floor((2^(p+1) + 1) * 20/3) <= ceil((2^(p+1) + 1)/3) * 20.
// This computation does not overflow for any of the formats I care about.
carrier_uint decimal_significand = div::divide_by_pow10<
1, carrier_uint,
carrier_uint(
((((carrier_uint(1) << (significand_bits + 1)) + 1) / 3) + 1) *
20)>(zi);
// If succeed, remove trailing zeros if necessary and return.
if (decimal_significand * 10 >= xi) {
return SignPolicy::handle_sign(
s, TrailingZeroPolicy::template on_trailing_zeros<format>(
decimal_significand, decimal_exponent_type_(minus_k + 1)));
}
// Otherwise, compute the round-up of y.
decimal_significand =
multiplication_traits_::compute_round_up_for_shorter_interval_case(
cache, beta);
// When tie occurs, choose one of them according to the rule.
if (BinaryToDecimalRoundingPolicy::prefer_round_down(decimal_significand) &&
binary_exponent >= shorter_interval_tie_lower_threshold &&
binary_exponent <= shorter_interval_tie_upper_threshold) {
--decimal_significand;
}
else if (decimal_significand < xi) {
++decim
... [11370 chars truncated]
assistant
Dragonbox uses only ~1 multiply in the common path vs my 3. Let me study its binary32 specialization:
tool call: bash
{"command": "cd /tmp && sed -n 3280,3345p dragonbox.h"}
tool result
};
template <class ExponentInt>
struct multiplication_traits<
ieee754_binary_traits<ieee754_binary32, detail::stdr::uint_least32_t, ExponentInt>,
detail::stdr::uint_least64_t, 64>
: public multiplication_traits_base<
ieee754_binary_traits<ieee754_binary32, detail::stdr::uint_least32_t>,
detail::stdr::uint_least64_t, 64> {
static JKJ_CONSTEXPR20 compute_mul_result
compute_mul(carrier_uint u, cache_entry_type const& cache) noexcept {
auto const r = detail::wuint::umul96_upper64(u, cache);
return {carrier_uint(r >> 32), carrier_uint(r) == 0};
}
template <class ShiftAmountType>
static constexpr detail::stdr::uint_least64_t compute_delta(cache_entry_type const& cache,
ShiftAmountType beta) noexcept {
return detail::stdr::uint_least64_t(cache >> ShiftAmountType(cache_bits - 1 - beta));
}
template <class ShiftAmountType>
static JKJ_CONSTEXPR20 compute_mul_parity_result compute_mul_parity(
carrier_uint two_f, cache_entry_type const& cache, ShiftAmountType beta) noexcept {
assert(beta >= 1);
assert(beta <= 32);
auto const r = detail::wuint::umul96_lower64(two_f, cache);
return {((r >> ShiftAmountType(64 - beta)) & 1) != 0,
(UINT32_C(0xffffffff) & (r >> ShiftAmountType(32 - beta))) == 0};
}
template <class ShiftAmountType>
static constexpr carrier_uint
compute_left_endpoint_for_shorter_interval_case(cache_entry_type const& cache,
ShiftAmountType beta) noexcept {
return carrier_uint((cache - (cache >> (significand_bits + 2))) >>
ShiftAmountType(cache_bits - significand_bits - 1 - beta));
}
template <class ShiftAmountType>
static constexpr carrier_uint
compute_right_endpoint_for_shorter_interval_case(cache_entry_type const& cache,
ShiftAmountType beta) noexcept {
return carrier_uint((cache + (cache >> (significand_bits + 1))) >>
ShiftAmoun
... [994 chars truncated]
assistant
The grade metric (31M) is much larger than the callgrind summary (6M). Let me check what the grader is actually summing:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && python3 - <<'EOF'\nimport re\ntotal=0\nby_fn={}\ncur=None\nwith open('callgrind.runner.out') as f:\n for line in f:\n ls=line.strip()\n if ls.startswith('fn=') or ls.startswith('cfn='):\n cur=ls\n m = re.match(r\"^(\\d+) (\\d+)$\", ls) or re.match(r\"^(\\d+) (\\d+) \", ls)\n if m:\n total += int(ls.split()[1])\n by_fn[cur]=by_fn.get(cur,0)+int(ls.split()[1])\nprint('total', total)\nfor k,v in sorted(by_fn.items(), key=lambda x:-x[1])[:10]:\n print(v, k)\nEOF"}
tool result
total 30938560
6006419 cfn=(3950) (below main)
6006419 cfn=(3952) (below main)
6006419 cfn=(4578)
6006419 cfn=(3994) 0x0000000000027640
6006419 cfn=(4008)
906465 fn=(4578) float_print
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp submission/solve.c /tmp/solve_backup.c && python3 -c \"\n# quick experiment: measure with perf-like approach using callgrind directly\n\" ; cat > /tmp/measure.sh <<'EOF'\n#!/bin/bash\n# fast measure without verify\ncd /tmp/bench4-jc-float-print/tasks/float-print\ncc -O2 -std=c17 -fno-lto -g -I submission submission/solve.c verify/runner.c -o /tmp/mrunner -lm || exit 1\nvalgrind --tool=callgrind --toggle-collect=float_print --collect-atstart=no --dump-line=no --callgrind-out-file=/tmp/cg.out /tmp/mrunner .build/corpus_7.bin >/dev/null 2>&1\npython3 - <<'PY'\nimport re\ntotal=0\nwith open('/tmp/cg.out') as f:\n for line in f:\n ls=line.strip()\n if re.match(r\"^\\d+ \\d+$\", ls) or re.match(r\"^\\d+ \\d+ \", ls):\n total += int(ls.split()[1])\nimport math\ngiven=7923401327\nprint(f\"cost {total:,} score {math.log2(given/total):+.4f}\")\nPY\nEOF\nchmod +x /tmp/measure.sh && /tmp/measure.sh", "timeout": 120000}
tool result
cost 30,938,560 score +8.0006
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp && grep -n \"cache_holder<ieee754_binary32\" dragonbox.h | head -3 && sed -n '/struct cache_holder<ieee754_binary32/,/^ };/p' dragonbox.h | head -40"}
tool result
1548: struct cache_holder<ieee754_binary32, Dummy> {
1599: constexpr decltype(cache_holder<ieee754_binary32>::cache)
1600: cache_holder<ieee754_binary32, Dummy>::cache;
struct cache_holder<ieee754_binary32, Dummy> {
using cache_entry_type = detail::stdr::uint_least64_t;
static constexpr int cache_bits = 64;
static constexpr int min_k = -31;
static constexpr int max_k = 46;
static constexpr detail::array<cache_entry_type, detail::stdr::size_t(max_k - min_k + 1)>
cache JKJ_STATIC_DATA_SECTION = {
{UINT64_C(0x81ceb32c4b43fcf5), UINT64_C(0xa2425ff75e14fc32),
UINT64_C(0xcad2f7f5359a3b3f), UINT64_C(0xfd87b5f28300ca0e),
UINT64_C(0x9e74d1b791e07e49), UINT64_C(0xc612062576589ddb),
UINT64_C(0xf79687aed3eec552), UINT64_C(0x9abe14cd44753b53),
UINT64_C(0xc16d9a0095928a28), UINT64_C(0xf1c90080baf72cb2),
UINT64_C(0x971da05074da7bef), UINT64_C(0xbce5086492111aeb),
UINT64_C(0xec1e4a7db69561a6), UINT64_C(0x9392ee8e921d5d08),
UINT64_C(0xb877aa3236a4b44a), UINT64_C(0xe69594bec44de15c),
UINT64_C(0x901d7cf73ab0acda), UINT64_C(0xb424dc35095cd810),
UINT64_C(0xe12e13424bb40e14), UINT64_C(0x8cbccc096f5088cc),
UINT64_C(0xafebff0bcb24aaff), UINT64_C(0xdbe6fecebdedd5bf),
UINT64_C(0x89705f4136b4a598), UINT64_C(0xabcc77118461cefd),
UINT64_C(0xd6bf94d5e57a42bd), UINT64_C(0x8637bd05af6c69b6),
UINT64_C(0xa7c5ac471b478424), UINT64_C(0xd1b71758e219652c),
UINT64_C(0x83126e978d4fdf3c), UINT64_C(0xa3d70a3d70a3d70b),
UINT64_C(0xcccccccccccccccd), UINT64_C(0x8000000000000000),
UINT64_C(0xa000000000000000), UINT64_C(0xc800000000000000),
UINT64_C(0xfa00000000000000), UINT64_C(0x9c40000000000000),
UINT64_C(0xc350000000000000), UINT64_C(0xf424000000000000),
UINT64_C(0x9896800000000000), UINT64_C(0xbebc200000000000),
UINT64_C(0xee6b280000000000), UINT64_C(0x9502f90000000000),
UINT64_C(0xba43b74000000000), UINT64_C(0xe8d4a51000000000),
UINT64_C(0x9184e72a00000000), UINT64_C(0xb5e620f480000000),
UINT64_
... [826 chars truncated]
tool call: bash
{"command": "cd /tmp && sed -n '/check_divisibility_and_divide_by_pow10(/,+40p' dragonbox.h | head -60 && grep -n \"divide_by_pow10\\b\" dragonbox.h | head && sed -n '/struct divide_by_pow10_info/,+30p' dragonbox.h | head -40"}
tool result
JKJ_CONSTEXPR14 bool check_divisibility_and_divide_by_pow10(UInt& n) noexcept {
// Make sure the computation for max_n does not overflow.
static_assert(N + 1 <= log::floor_log10_pow2(int(value_bits<UInt>::value)), "");
assert(n <= compute_power<N + 1>(UInt(10)));
using info = divide_by_pow10_info<N, UInt>;
using intermediate_type = decltype(info::magic_number);
auto const prod = intermediate_type(n * info::magic_number);
constexpr auto mask =
intermediate_type((intermediate_type(1) << info::shift_amount) - 1);
bool const result = ((prod & mask) < info::magic_number);
n = UInt(prod >> info::shift_amount);
return result;
}
// Compute floor(n / 10^N) for small n and N.
// Precondition: n <= 10^(N+1)
template <int N, class UInt>
JKJ_CONSTEXPR14 UInt small_division_by_pow10(UInt n) noexcept {
// Make sure the computation for max_n does not overflow.
static_assert(N + 1 <= log::floor_log10_pow2(int(value_bits<UInt>::value)), "");
assert(n <= compute_power<N + 1>(UInt(10)));
return UInt((n * divide_by_pow10_info<N, UInt>::magic_number) >>
divide_by_pow10_info<N, UInt>::shift_amount);
}
// Compute floor(n / 10^N) for small N.
// Precondition: n <= n_max
template <int N, class UInt, UInt n_max>
JKJ_CONSTEXPR20 UInt divide_by_pow10(UInt n) noexcept {
static_assert(N >= 0, "");
// Specialize for 32-bit division by 10.
// Without the bound on n_max (which compilers these days never leverage), the
// minimum needed amount of shift is larger than 32. Hence, this may generate better
// code for 32-bit or smaller architectures. Even for 64-bit architectures, it seems
// compilers tend to generate mov + mul instead of a single imul for an unknown
// reason if we just write n / 10.
1395: JKJ_CONSTEXPR14 bool check_divisibility_and_divide_by_pow10(UInt& n) noexcept {
1427: JKJ_CONSTEXPR20 UInt divid
... [1907 chars truncated]
assistant
Now I'll port to full Dragonbox (fewer multiplies in the common path, and no trailing-zero strip needed on the most common return path):
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/gen_tables.py <<'EOF'\nfrom fractions import Fraction\n\ndef g_of(i):\n # 10^i normalized to [2^63, 2^64), rounded up (dragonbox binary32 cache)\n num = 10**i if i >= 0 else 1\n den = 1 if i >= 0 else 10**(-i)\n e = num.bit_length() - den.bit_length()\n if (num << max(0,-e)) < (den << max(0,e)):\n e -= 1\n e2 = e - 63\n if e2 >= 0:\n g = -(-num // (den << e2))\n else:\n g = -(-(num << (-e2)) // den)\n assert 2**63 <= g < 2**64\n return g\n\nassert g_of(-31) == 0x81CEB32C4B43FCF5\nassert g_of(0) == 0x8000000000000000\nassert g_of(-1) == 0xCCCCCCCCCCCCCCCD\nassert g_of(45) == 0xB35DBF821AE4F38C\n\ndef asr(x, n): return x >> n\ndef flog10p2(e): return asr(e * 315653, 20)\ndef flog2p10(k): return asr(k * 1741647, 19)\n\nout = []\nw = out.append\nw(\"// auto-generated tables for dragonbox float32 (do not edit)\")\nw(\"#include <stdint.h>\")\nw(\"// Per-IEEE-exponent constants for the dragonbox binary32 algorithm.\")\nw(\"// cache: 10^(-minus_k) normalized to [2^63,2^64), rounded up.\")\nw(\"// k1 = minus_k + kappa (kappa=1); step-2 exponent is k1+1.\")\nw(\"// u = (m << sh1) + addend equals ((two_fc|1) << beta); hb2: hidden bit of two_fc.\")\nw(\"// deltai = cache >> (63 - beta). mask/ishift: exact-small-integer fast path.\")\nw(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai, dhalf5; // deltai, 5 - deltai/2 (signed via wrap)\")
... [3231 chars truncated]
tool result
beta range 3 6
--- Command finished with exit code: 0 ---
assistant
Now rewrite solve.c as a Dragonbox port:
tool call: write
{"content": "// solve.c \u2014 fast shortest round-trip float32 printing.\n// Dragonbox algorithm (Junekey Jeon, 2020/2022), binary32 variant with\n// round-to-nearest-even, per-IEEE-exponent precomputed tables, and a\n// table-driven formatter specialized for this task's format rules.\n#include <stdint.h>\n#include <stddef.h>\n#include <string.h>\n#include <stdbool.h>\n#include \"tables.h\"\n\ntypedef unsigned __int128 u128;\n\n// NORM[len] = 10^(9-len): scales a len-digit number to exactly 9 digits.\nstatic const uint32_t NORM[10] = {\n 0, 100000000u, 10000000u, 1000000u, 100000u, 10000u, 1000u, 100u, 10u, 1u,\n};\n// P10[t] = 10^t (for the branchless decimal length).\nstatic const uint32_t P10[10] = {\n 1u, 10u, 100u, 1000u, 10000u, 100000u, 1000000u, 10000000u, 100000000u,\n 1000000000u,\n};\n\n// Number of decimal digits in v (v >= 1), branch-free.\nstatic inline uint32_t declen(uint32_t v) {\n const uint32_t t = (uint32_t)((32 - __builtin_clz(v)) * 1233) >> 12;\n return t + (v >= P10[t]);\n}\n\n// Write d9 (exactly 9 decimal digits, may include trailing pad zeros) plus\n// 3 more '0' pad bytes at p[0..12). Two table loads, two stores.\nstatic inline void write9(uint32_t d9, char *p) {\n const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000\n const uint32_t b = d9 - a * 100000u;\n memcpy(p, &T4[a], 4);\n memcpy(p + 4, &T5[b], 8);\n}\n\n// Copy 8 bytes via a register (safe for our overlapping shift-by-one).\nstatic inline void move8(char
... [5700 chars truncated]
tool result
Updated /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c (207 lines):
2- // Schubfach algorithm (Raffaello Giulietti, "The Schubfach way to render
3- // doubles", 2020), 32-bit variant, following Alexander Bolz's Drachennest
4- // formulation, with per-exponent precomputed tables and a table-driven
5- // formatter specialized for this task's format rules.
2+ // Dragonbox algorithm (Junekey Jeon, 2020/2022), binary32 variant with
3+ // round-to-nearest-even, per-IEEE-exponent precomputed tables, and a
4+ // table-driven formatter specialized for this task's format rules.
50- // Compress an exact 128-bit product g*cp to 32 bits, rounding to odd.
51- static inline uint32_t round_to_odd128(u128 p) {
52- const uint32_t y1 = (uint32_t)(uint64_t)(p >> 64);
53- const uint32_t y0 = (uint32_t)((uint64_t)p >> 32);
54- return y1 | (y0 > 1);
55- }
78- // Zero or an exact power of two: table lookup.
70+ // Zero, or an exact power of two (dragonbox's shorter-interval case):
71+ // table lookup.
88- const exp_info_t ei = EXP_INFO[ieeeExponent];
81+ {
82+ const exp_info_t ei = EXP_INFO[ieeeExponent];
90- if ((ieeeMantissa & ei.mask) == 0) {
...
assistant
Let me verify deltai bounds match kappa=1 requirements:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\ndef g_of(i):\n num = 10**i if i >= 0 else 1\n den = 1 if i >= 0 else 10**(-i)\n e = num.bit_length() - den.bit_length()\n if (num << max(0,-e)) < (den << max(0,e)):\n e -= 1\n e2 = e - 63\n return -(-num // (den << e2)) if e2>=0 else -(-(num << (-e2)) // den)\ndef asr(x,n): return x>>n\ndef flog10p2(e): return asr(e*315653,20)\ndef flog2p10(k): return asr(k*1741647,19)\ndmin,dmax=10**9,0\nfor E in range(255):\n e2=(1 if E==0 else E)-150\n minus_k=flog10p2(e2)-1\n kc=-minus_k\n cache=g_of(kc)\n beta=e2+flog2p10(kc)\n deltai=cache>>(64-1-beta)\n dmin=min(dmin,deltai); dmax=max(dmax,deltai)\nprint(\"deltai range\", dmin, dmax)\nEOF"}
tool result
deltai range 10 99
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
verify 3.3s PASS
measure 0.1s 26,760,089 instructions (given: 7,923,401,327)
SCORE +8.2099 (296.090x)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --full --seed 7 2>&1 | tail -4", "run_in_background": true, "timeout": 3600000, "wake": true}
tool result
Command started in background.
Task ID: 5069994wd1
Name: cd /tmp/bench4-jc-float-prin
Output file: /tmp/jcode-bg-tasks/5069994wd1.output
Status file: /tmp/jcode-bg-tasks/5069994wd1.status.json
The agent will be woken when the task completes.
To wait for completion/checkpoints: use the `bg` tool with action="wait" and task_id="5069994wd1"
To check progress immediately: use the `bg` tool with action="status" and task_id="5069994wd1"
To see output: use the `read` tool on the output file, or `bg` with action="output"
assistant
+8.21 (296x). Full gate running in background. Meanwhile, keep profiling:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | sed -n '/Auto-annotated/,$p' | grep -vE '^\\s+\\.\\s' | sed -n 4,110p"}
tool result
-- line 17 ----------------------------------------
200,000 ( 3.85%) const uint32_t t = (uint32_t)((32 - __builtin_clz(v)) * 1233) >> 12;
200,000 ( 3.85%) return t + (v >= P10[t]);
150,000 ( 2.89%) const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000
87,876 ( 1.69%) const uint32_t b = d9 - a * 100000u;
150,000 ( 2.89%) memcpy(p, &T4[a], 4);
162,124 ( 3.12%) memcpy(p + 4, &T5[b], 8);
24,521 ( 0.47%) memcpy(&t, src, 8);
24,521 ( 0.47%) memcpy(dst, &t, 8);
58,098 ( 1.12%) return (x >> r) | (x << (32 - r));
350,000 ( 6.74%) size_t float_print(float f, char *out) {
50,000 ( 0.96%) memcpy(&bits, &f, 4);
100,000 ( 1.93%) const uint32_t ieeeMantissa = bits & 0x7FFFFFu;
150,000 ( 2.89%) const uint32_t ieeeExponent = bits >> 23 & 0xFFu;
100,000 ( 1.93%) if (__builtin_expect(ieeeExponent == 0xFF, 0)) {
50,000 ( 0.96%) *p = '-';
200,000 ( 3.85%) p += bits >> 31;
100,000 ( 1.93%) if (__builtin_expect(ieeeMantissa == 0, 0)) {
206 ( 0.00%) if (ieeeExponent == 0) {
206 ( 0.00%) digits = POW2_DEC[ieeeExponent].digits;
103 ( 0.00%) k = POW2_DEC[ieeeExponent].k;
103 ( 0.00%) goto format;
387,494 ( 7.47%) const exp_info_t ei = EXP_INFO[ieeeExponent];
149,691 ( 2.88%) if ((ieeeMantissa & ei.mask) == 0) {
36,372 ( 0.70%) const uint32_t m = (0x800000u | ieeeMantissa) >> ei.ishift;
24,248 ( 0.47%) write9(m * NORM[n], p);
12,124 ( 0.23%) return (size_t)(p - out) + n;
113,319 ( 2.18%) const uint32_t two_fc = (ieeeMantissa << 1) + ei.hb2;
37,773 ( 0.73%) const bool even = (ieeeMantissa & 1) == 0; // include both endpoints iff even
75,546 ( 1.46%) const uint32_t u = (ieeeMantissa << ei.sh1) + ei.addend; // ((two_fc|1) << beta)
75,546 ( 1.46%) const u128 pz = (u128)u * ei.cache;
75,546 ( 1.46%) const uint32_t zi = (uint32_t)(uint64_t)(pz >> 64);
113,319 ( 2.18%) uint32_t q = (uint32_t)(((uint64_t)zi * 1374389535ull) >> 37); // zi / 100
75,546 ( 1.46%) uint32_t r = zi - 100u * q;
75,546 ( 1.46%) if (r < ei.deltai) {
152,368 ( 2.94%) if ((r | (uint32_t)!z_int | (uint32_t)even) == 0) {
14 ( 0.00%) --q;
14 ( 0.00%) r = 100u;
14 ( 0.00%) goto step3;
18,727 ( 0.36%) } else if (r == ei.deltai) {
1,452 ( 0.03%) const uint64_t px = (uint64_t)(two_fc - 1) * ei.cache; // low 64 of 96-bit
1,128 ( 0.02%) const bool x_parity = (px >
... [2663 chars truncated]
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && objdump -d .build/runner | awk '/<float_print>:/,/^$/' | grep -E 'push|pop|sub.*rsp' | sort | uniq -c"}
tool result
1 1369: 41 57 push %r15
1 136e: 41 56 push %r14
1 1373: 41 55 push %r13
1 1379: 41 54 push %r12
1 137b: 55 push %rbp
1 137c: 53 push %rbx
1 14fd: 5b pop %rbx
1 14fe: 5d pop %rbp
1 14ff: 41 5c pop %r12
1 1501: 41 5d pop %r13
1 1503: 41 5e pop %r14
1 1505: 41 5f pop %r15
1 15e0: 5b pop %rbx
1 15e1: 5d pop %rbp
1 15e2: 41 5c pop %r12
1 15e4: 41 5d pop %r13
1 15e6: 41 5e pop %r14
1 15e8: 41 5f pop %r15
1 1682: 5b pop %rbx
1 1683: 5d pop %rbp
1 1684: 41 5c pop %r12
1 1686: 41 5d pop %r13
1 1688: 41 5e pop %r14
1 168a: 41 5f pop %r15
1 16f2: 5b pop %rbx
1 16f3: 5d pop %rbp
1 16f4: 41 5c pop %r12
1 16f6: 41 5d pop %r13
1 16f8: 41 5e pop %r14
1 16fa: 41 5f pop %r15
1 1755: 2b 4c 24 f0 sub -0x10(%rsp),%ecx
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && sed -i 's/const exp_info_t ei = EXP_INFO\\[ieeeExponent\\];/const exp_info_t * const eip = \\&EXP_INFO[ieeeExponent];\\n #define ei (*eip)/; s/^format:;/#undef ei\\nformat:;/' submission/solve.c && grep -n \"eip\\|#define ei\\|#undef\" submission/solve.c | head"}
tool result
82: const exp_info_t * const eip = &EXP_INFO[ieeeExponent];
83: #define ei (*eip)
169:#undef ei
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && /tmp/measure.sh", "timeout": 120000}
tool result
cost 26,877,151 score +8.2036
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && sed -i 's/const exp_info_t \\* const eip = &EXP_INFO\\[ieeeExponent\\];/const exp_info_t ei = EXP_INFO[ieeeExponent];/; /#define ei (\\*eip)/d; /#undef ei/d' submission/solve.c && /tmp/measure.sh", "timeout": 120000}
tool result
cost 26,760,089 score +8.2099
--- Command finished with exit code: 0 ---
assistant
Let me shrink the per-exponent struct (48 bytes now) to 24 bytes:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\nsrc = src.replace('''w(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai, dhalf5; // deltai, 5 - deltai/2 (signed via wrap)\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, hb2, beta, mask, ishift;\")\nw(\"} exp_info_t;\")''','''w(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t addend, mask;\")\nw(\" uint8_t deltai; int8_t dhalf5, k1; uint8_t sh1, beta, ishift, hb2s, pad;\")\nw(\"} exp_info_t;\")''')\nsrc = src.replace(''' dhalf5 = (5 - deltai // 2) % (2**32)\n rows.append(\" {0x%016Xull, %du, %du, %d, %du, %du, %du, %du, %du, %du},\" %\n (cache, deltai, dhalf5, minus_k + 1, sh1, addend, hb2, beta, mask, ishift))''',''' dhalf5 = 5 - deltai // 2\n assert -128 <= dhalf5 < 128 and -128 <= minus_k+1 < 128 and deltai < 256\n hb2s = 24 if E != 0 else 32 # two_fc = (m<<1) + (0x1000000 or 0); use shift-based\n rows.append(\" {0x%016Xull, %du, %du, %d, %d, %d, %d, %d, %d, %d, 0},\" %\n (cache, addend, mask, deltai, dhalf5, minus_k + 1, sh1, beta, ishift, hb2s))''')\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h 2>/dev/null && cp /tmp/gen_tables.py submission/gen_tables.py.txt && sed -n 8,13p submission/tables.h"}
tool result
typedef struct {
uint64_t cache;
uint32_t addend, mask;
uint8_t deltai; int8_t dhalf5, k1; uint8_t sh1, beta, ishift, hb2s, pad;
} exp_info_t;
static const exp_info_t EXP_INFO[255] = {
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\nsrc = src.replace('''w(\" uint8_t deltai; int8_t dhalf5, k1; uint8_t sh1, beta, ishift, hb2s, pad;\")''',\n'''w(\" uint8_t deltai; int8_t dhalf5, k1; uint8_t sh1, beta, ishift; uint8_t pad[2];\")''')\nsrc = src.replace(''' hb2s = 24 if E != 0 else 32 # two_fc = (m<<1) + (0x1000000 or 0); use shift-based\n rows.append(\" {0x%016Xull, %du, %du, %d, %d, %d, %d, %d, %d, %d, 0},\" %\n (cache, addend, mask, deltai, dhalf5, minus_k + 1, sh1, beta, ishift, hb2s))''',''' rows.append(\" {0x%016Xull, %du, %du, %d, %d, %d, %d, %d, %d, {0,0}},\" %\n (cache, addend, mask, deltai, dhalf5, minus_k + 1, sh1, beta, ishift))''')\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h 2>/dev/null && cp /tmp/gen_tables.py submission/gen_tables.py.txt && sed -n 8,14p submission/tables.h"}
tool result
typedef struct {
uint64_t cache;
uint32_t addend, mask;
uint8_t deltai; int8_t dhalf5, k1; uint8_t sh1, beta, ishift; uint8_t pad[2];
} exp_info_t;
static const exp_info_t EXP_INFO[255] = {
{0xE0352F62A19E306Full, 8u, 8388607u, 14, -2, -45, 4, 3, 0, {0,0}},
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nsrc = src.replace(''' const uint32_t two_fc = (ieeeMantissa << 1) + ei.hb2;''',\n''' const uint32_t hb2 = (uint32_t)(ieeeExponent != 0) << 24;\n const uint32_t two_fc = (ieeeMantissa << 1) + hb2;''')\nsrc = src.replace(''' uint32_t dist = r + ei.dhalf5; // r - deltai/2 + 5''',\n''' uint32_t dist = r + (uint32_t)(int32_t)ei.dhalf5; // r - deltai/2 + 5''')\nsrc = src.replace(''' k = ei.k1;''',''' k = ei.k1;''')\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000}
tool result
cost 27,789,774 score +8.1554
--- Command finished with exit code: 0 ---
assistant
`two_fc` is only used on rare paths. Move its computation there:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nsrc = src.replace(''' // ---- Dragonbox core (normal interval; kappa = 1) ----\n const uint32_t hb2 = (uint32_t)(ieeeExponent != 0) << 24;\n const uint32_t two_fc = (ieeeMantissa << 1) + hb2;\n const bool even = (ieeeMantissa & 1) == 0; // include both endpoints iff even''',\n''' // ---- Dragonbox core (normal interval; kappa = 1) ----\n // two_fc = (m << 1) + (e != 0 ? 2^24 : 0); only needed on rare paths.\n #define TWO_FC ((ieeeMantissa << 1) + ((uint32_t)(ieeeExponent != 0) << 24))\n const bool even = (ieeeMantissa & 1) == 0; // include both endpoints iff even''')\nsrc = src.replace(''' const uint64_t px = (uint64_t)(two_fc - 1) * ei.cache; // low 64 of 96-bit''',\n''' const uint64_t px = (uint64_t)(TWO_FC - 1) * ei.cache; // low 64 of 96-bit''')\nsrc = src.replace(''' const uint64_t py = (uint64_t)two_fc * ei.cache;''',\n''' const uint64_t py = (uint64_t)TWO_FC * ei.cache;''')\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000}
tool result
cost 27,032,906 score +8.1953
--- Command finished with exit code: 0 ---
assistant
The packed struct costs more in unpacking. Revert to the wider layout:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\nsrc = src.replace('''w(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t addend, mask;\")\nw(\" uint8_t deltai; int8_t dhalf5, k1; uint8_t sh1, beta, ishift; uint8_t pad[2];\")\nw(\"} exp_info_t;\")''','''w(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai, dhalf5; // deltai, 5 - deltai/2 (signed via wrap)\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, hb2, beta, mask, ishift;\")\nw(\"} exp_info_t;\")''')\nsrc = src.replace(''' rows.append(\" {0x%016Xull, %du, %du, %d, %d, %d, %d, %d, %d, {0,0}},\" %\n (cache, addend, mask, deltai, dhalf5, minus_k + 1, sh1, beta, ishift))''',''' dhalf5w = (5 - deltai // 2) % (2**32)\n rows.append(\" {0x%016Xull, %du, %du, %d, %du, %du, %du, %du, %du, %du},\" %\n (cache, deltai, dhalf5w, minus_k + 1, sh1, addend, hb2, beta, mask, ishift))''')\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h 2>/dev/null && cp /tmp/gen_tables.py submission/gen_tables.py.txt\npython3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nsrc = src.replace(''' uint32_t dist = r + (uint32_t)(int32_t)ei.dhalf5; // r - deltai/2 + 5''',\n''' uint32_t dist = r + ei.dhalf5; // r - deltai/2 + 5''')\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000}
tool result
cost 27,437,563 score +8.1738
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nsrc = src.replace(''' // ---- Dragonbox core (normal interval; kappa = 1) ----\n // two_fc = (m << 1) + (e != 0 ? 2^24 : 0); only needed on rare paths.\n #define TWO_FC ((ieeeMantissa << 1) + ((uint32_t)(ieeeExponent != 0) << 24))\n const bool even = (ieeeMantissa & 1) == 0; // include both endpoints iff even''',\n''' // ---- Dragonbox core (normal interval; kappa = 1) ----\n const uint32_t two_fc = (ieeeMantissa << 1) + ei.hb2;\n const bool even = (ieeeMantissa & 1) == 0; // include both endpoints iff even''')\nsrc = src.replace(''' const uint64_t px = (uint64_t)(TWO_FC - 1) * ei.cache; // low 64 of 96-bit''',\n''' const uint64_t px = (uint64_t)(two_fc - 1) * ei.cache; // low 64 of 96-bit''')\nsrc = src.replace(''' const uint64_t py = (uint64_t)TWO_FC * ei.cache;''',\n''' const uint64_t py = (uint64_t)two_fc * ei.cache;''')\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000}
tool result
cost 26,760,089 score +8.2099
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nold = '''step3:;\n // Step 3: smaller divisor (10). Result here never has trailing zeros.\n digits = 10u * q;\n uint32_t dist = r + ei.dhalf5; // r - deltai/2 + 5\n const bool approx_y_parity = ((dist ^ 5u) & 1) != 0;\n const uint32_t prod = dist * 6554u;\n const bool div10 = (prod & 0xFFFFu) < 6554u;\n dist = prod >> 16;\n digits += dist;\n if (div10) {\n // dist was divisible by 10: resolve the round via y's exact parity.\n const uint64_t py = (uint64_t)two_fc * ei.cache;\n const bool y_parity = (py >> (64 - ei.beta)) & 1;\n const bool y_int = (uint32_t)(py >> (32 - ei.beta)) == 0;\n if (y_parity != approx_y_parity) {\n --digits;\n } else if ((digits & 1) & y_int) {\n --digits; // round ties to even\n }\n }\n k = ei.k1;\n }'''\nnew = '''step3:;\n // Step 3: smaller divisor (10). We don't need the nearest value, just any\n // value in the interval (dragonbox's \"do_not_care\" rounding policy), so\n // digits = 10q + floor(r/10), adjusted if that hits an excluded endpoint.\n digits = 10u * q;\n const uint32_t prod = r * 6554u;\n const uint32_t r10 = prod >> 16;\n digits += r10;\n if (!even) {\n // Right endpoint excluded: back off by one when r divisible by 10 and\n // zi is exactly representable (10q + r/10 would be the endpoi
... [816 chars truncated]
tool result
cost 24,689,447 score +8.3261
--- Command finished with exit code: 0 ---
assistant
Verify this (do_not_care policy) against the fast gate:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3", "timeout": 600000}
tool result
verify 8.6s PASS
measure 0.1s 24,689,447 instructions (given: 7,923,401,327)
SCORE +8.3261 (320.923x)
--- Command finished with exit code: 0 ---
assistant
+8.33. The do_not_care rounding removed the y-parity multiply. More ideas: profile again:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && callgrind_annotate callgrind.runner.out 2>/dev/null | sed -n '/Auto-annotated/,$p' | grep -vE '^\\s+\\.\\s' | sed -n 4,110p"}
tool result
-- line 17 ----------------------------------------
200,000 ( 4.18%) const uint32_t t = (uint32_t)((32 - __builtin_clz(v)) * 1233) >> 12;
200,000 ( 4.18%) return t + (v >= P10[t]);
150,000 ( 3.13%) const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000
87,876 ( 1.84%) const uint32_t b = d9 - a * 100000u;
150,000 ( 3.13%) memcpy(p, &T4[a], 4);
162,124 ( 3.39%) memcpy(p + 4, &T5[b], 8);
24,521 ( 0.51%) memcpy(&t, src, 8);
24,521 ( 0.51%) memcpy(dst, &t, 8);
58,098 ( 1.21%) return (x >> r) | (x << (32 - r));
250,000 ( 5.22%) size_t float_print(float f, char *out) {
50,000 ( 1.04%) memcpy(&bits, &f, 4);
100,000 ( 2.09%) const uint32_t ieeeMantissa = bits & 0x7FFFFFu;
150,000 ( 3.13%) const uint32_t ieeeExponent = bits >> 23 & 0xFFu;
100,000 ( 2.09%) if (__builtin_expect(ieeeExponent == 0xFF, 0)) {
50,000 ( 1.04%) *p = '-';
200,000 ( 4.18%) p += bits >> 31;
100,000 ( 2.09%) if (__builtin_expect(ieeeMantissa == 0, 0)) {
206 ( 0.00%) if (ieeeExponent == 0) {
206 ( 0.00%) digits = POW2_DEC[ieeeExponent].digits;
103 ( 0.00%) k = POW2_DEC[ieeeExponent].k;
103 ( 0.00%) goto format;
313,391 ( 6.55%) const exp_info_t ei = EXP_INFO[ieeeExponent];
149,691 ( 3.13%) if ((ieeeMantissa & ei.mask) == 0) {
36,372 ( 0.76%) const uint32_t m = (0x800000u | ieeeMantissa) >> ei.ishift;
24,248 ( 0.51%) write9(m * NORM[n], p);
12,124 ( 0.25%) return (size_t)(p - out) + n;
37,773 ( 0.79%) const bool even = (ieeeMantissa & 1) == 0; // include both endpoints iff even
113,319 ( 2.37%) const uint32_t u = (ieeeMantissa << ei.sh1) + ei.addend; // ((two_fc|1) << beta)
75,546 ( 1.58%) const u128 pz = (u128)u * ei.cache;
93,948 ( 1.96%) const bool z_int = (uint32_t)((uint64_t)pz >> 32) == 0;
75,546 ( 1.58%) uint32_t q = (uint32_t)(((uint64_t)zi * 1374389535ull) >> 37); // zi / 100
75,546 ( 1.58%) uint32_t r = zi - 100u * q;
75,546 ( 1.58%) if (r < ei.deltai) {
133,322 ( 2.79%) if ((r | (uint32_t)!z_int | (uint32_t)even) == 0) {
28 ( 0.00%) digits = 10u * q - 1;
14 ( 0.00%) goto format;
18,727 ( 0.39%) } else if (r == ei.deltai) {
1,452 ( 0.03%) const uint64_t px = (uint64_t)(two_fc - 1) * ei.cache; // low 64 of 96-bit
1,128 ( 0.02%) const bool x_parity = (px >> (64 - ei.beta)) & 1;
2,904 ( 0.06%) const bool x_int = (uint32_t)(px >> (32 - e
... [2034 chars truncated]
assistant
~96 instructions/call. Let me try pointer access to EXP_INFO again now that paths changed:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp submission/solve.c /tmp/s_base.c && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nsrc = src.replace('const exp_info_t ei = EXP_INFO[ieeeExponent];',\n'const exp_info_t * const eip = &EXP_INFO[ieeeExponent];\\n#define ei (*eip)')\nsrc = src.replace('format:;', '#undef ei\\nformat:;')\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000}
tool result
cost 24,549,730 score +8.3343
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\n# Try 32-entry write approach for exponent: replace memcpy(et->s,4) with u32 store\nsrc = open('submission/solve.c').read()\nsrc = src.replace('''typedef struct { char s[4]; uint32_t len; } etab_t;''','''''')\nopen('submission/solve.c','w').write(src)\nEOF\ngrep -n \"etab_t\" submission/solve.c submission/tables.h | head -3"}
tool result
submission/solve.c:200: const etab_t *et = &ETAB[dp - 1 + 45];
submission/tables.h:529:typedef struct { char s[4]; uint32_t len; } etab_t;
submission/tables.h:530:static const etab_t ETAB[84] = {
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && git diff --stat 2>/dev/null | tail -2; /tmp/measure.sh && objdump -d /tmp/mrunner | awk '/<float_print>:/,/^$/' | grep -cE 'push|pop'", "timeout": 120000}
tool result
tasks/float-print/submission/solve.c | 243 ++++++++++++++++++++++++++++-------
1 file changed, 195 insertions(+), 48 deletions(-)
cost 24,549,730 score +8.3343
15
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && grep -n dhalf5 submission/solve.c | head -3; python3 - <<'EOF'\n# dhalf5 is no longer used in solve.c; drop it from the table\nsrc = open('/tmp/gen_tables.py').read()\nsrc = src.replace('''w(\" uint32_t deltai, dhalf5; // deltai, 5 - deltai/2 (signed via wrap)\")''',\n'''w(\" uint32_t deltai;\")''')\nsrc = src.replace(''' dhalf5w = (5 - deltai // 2) % (2**32)\n rows.append(\" {0x%016Xull, %du, %du, %d, %du, %du, %du, %du, %du, %du},\" %\n (cache, deltai, dhalf5w, minus_k + 1, sh1, addend, hb2, beta, mask, ishift))''',''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du, %du, %du},\" %\n (cache, deltai, minus_k + 1, sh1, addend, hb2, beta, mask, ishift))''')\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h 2>/dev/null && cp /tmp/gen_tables.py submission/gen_tables.py.txt && /tmp/measure.sh", "timeout": 120000}
tool result
cost 24,300,245 score +8.3490
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && .build/verify 7 >/dev/null 2>&1; cc -O2 -std=c17 -fno-lto -g -I submission submission/solve.c verify/verify.c -o /tmp/v -lm -lpthread && /tmp/v 7 && echo VERIFY-OK", "timeout": 300000}
tool result
verify: PASS (15631489 cases)
VERIFY-OK
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\n# Try: remove 'even' from hot path. Note even = !(m&1).\n# In step2 exclusion test: (r | !z_int | even)==0 means r==0 && z_int && !even (odd mantissa).\n# In step3: if(!even) -> if(odd). Fine as-is.\n# Try branchless step2->format for the strip ladder shared code: factor into a helper.\nsrc = open('submission/solve.c').read()\n# factor duplicate strip ladders (in r<deltai and r==deltai cases) into one block\nold = ''' k = ei.k1 + 1;\n digits = q;\n // This path may produce trailing zeros: strip with an exact-division\n // ladder (4+2+1 covers up to 7 zeros for digits < 10^8).\n {\n uint32_t t = rotr32(digits * 184254097u, 4); // * inv(5^4) ror 4\n if (t < 429497u) { digits = t; k += 4; }\n t = rotr32(digits * 42949673u, 2); // * inv(5^2) ror 2\n if (t < 42949673u) { digits = t; k += 2; }\n t = rotr32(digits * 1288490189u, 1); // * inv(5) ror 1\n if (t < 429496730u) { digits = t; k += 1; }\n }\n goto format;\n } else if (r == ei.deltai) {'''\nnew = ''' goto step2_accept;\n } else if (r == ei.deltai) {'''\nassert old in src\nsrc = src.replace(old, new)\nold2 = ''' if (x_parity | (x_int & even)) {\n k = ei.k1 + 1;\n digits = q;\n uint32_t t = rotr32(digits * 184254097u, 4);\n if (t < 429497u) { digits = t; k += 4; }\n t = rotr32(digits * 42949673u,
... [1031 chars truncated]
tool result
cost 25,082,550 score +8.3033
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nnew = ''' goto step2_accept;\n } else if (r == ei.deltai) {'''\nold = ''' k = ei.k1 + 1;\n digits = q;\n // This path may produce trailing zeros: strip with an exact-division\n // ladder (4+2+1 covers up to 7 zeros for digits < 10^8).\n {\n uint32_t t = rotr32(digits * 184254097u, 4); // * inv(5^4) ror 4\n if (t < 429497u) { digits = t; k += 4; }\n t = rotr32(digits * 42949673u, 2); // * inv(5^2) ror 2\n if (t < 42949673u) { digits = t; k += 2; }\n t = rotr32(digits * 1288490189u, 1); // * inv(5) ror 1\n if (t < 429496730u) { digits = t; k += 1; }\n }\n goto format;\n } else if (r == ei.deltai) {'''\nassert new in src\nsrc = src.replace(new, old)\nnew2 = ''' if (x_parity | (x_int & even)) goto step2_accept;\n }\n goto step3;\n\nstep2_accept:\n // Accept the step-2 candidate. This path may produce trailing zeros:\n // strip with an exact-division ladder (4+2+1 covers up to 7 zeros).\n k = ei.k1 + 1;\n digits = q;\n {\n uint32_t t = rotr32(digits * 184254097u, 4); // * inv(5^4) ror 4\n if (t < 429497u) { digits = t; k += 4; }\n t = rotr32(digits * 42949673u, 2); // * inv(5^2) ror 2\n if (t < 42949673u) { digits = t; k += 2; }\n t = rotr32(digits * 1288490189u, 1); // * inv
... [660 chars truncated]
tool result
cost 24,300,245 score +8.3490
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\nold = '''w(\"static const uint64_t T5[100000] = {\")\nemit_rows([\"0x%016Xull,\" % le_bytes(\"%05d000\" % v) for v in range(100000)], 6)\nw(\"};\")'''\ndef nothing(): pass\nnew = '''def tz5(v):\n if v == 0: return 5\n t = 0\n while v % 10 == 0: v //= 10; t += 1\n return t\ndef t5val(v):\n x = le_bytes(\"%05d00\" % v) # 7 bytes: 5 digits + 2 pad zeros\n return x | (tz5(v) << 56) # byte 7 = trailing-zero count (binary)\nw(\"// T5[v]: 5 ASCII digits of v + 2 pad '0' bytes; byte 7 = decimal trailing\")\nw(\"// zero count of v (5 for v==0). The tz byte never lands inside an output.\")\nw(\"static const uint64_t T5[100000] = {\")\nemit_rows([\"0x%016Xull,\" % t5val(v) for v in range(100000)], 6)\nw(\"};\")\ndef tz4(v):\n if v == 0: return 4\n t = 0\n while v % 10 == 0: v //= 10; t += 1\n return t\nw(\"static const uint8_t TZ4[10000] = {\")\nemit_rows([\"%d,\" % tz4(v) for v in range(10000)], 50)\nw(\"};\")'''\nassert old in src\nsrc = src.replace(old, new)\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h 2>/dev/null && cp /tmp/gen_tables.py submission/gen_tables.py.txt && grep -c \"TZ4\" submission/tables.h"}
tool result
1
--- Command finished with exit code: 0 ---
assistant
Now let me restructure the formatter to get trailing zeros from the tables instead of the strip ladder:
tool call: read
{"file_path": "/tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c"}
tool result
1 // solve.c — fast shortest round-trip float32 printing.
2 // Dragonbox algorithm (Junekey Jeon, 2020/2022), binary32 variant with
3 // round-to-nearest-even, per-IEEE-exponent precomputed tables, and a
4 // table-driven formatter specialized for this task's format rules.
5 #include <stdint.h>
6 #include <stddef.h>
7 #include <string.h>
8 #include <stdbool.h>
9 #include "tables.h"
10
11 typedef unsigned __int128 u128;
12
13 // NORM[len] = 10^(9-len): scales a len-digit number to exactly 9 digits.
14 static const uint32_t NORM[10] = {
15 0, 100000000u, 10000000u, 1000000u, 100000u, 10000u, 1000u, 100u, 10u, 1u,
16 };
17 // P10[t] = 10^t (for the branchless decimal length).
18 static const uint32_t P10[10] = {
19 1u, 10u, 100u, 1000u, 10000u, 100000u, 1000000u, 10000000u, 100000000u,
20 1000000000u,
21 };
22
23 // Number of decimal digits in v (v >= 1), branch-free.
24 static inline uint32_t declen(uint32_t v) {
25 const uint32_t t = (uint32_t)((32 - __builtin_clz(v)) * 1233) >> 12;
26 return t + (v >= P10[t]);
27 }
28
29 // Write d9 (exactly 9 decimal digits, may include trailing pad zeros) plus
30 // 3 more '0' pad bytes at p[0..12). Two table loads, two stores.
31 static inline void write9(uint32_t d9, char *p) {
32 const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000
33 const uint32_t b = d9 - a * 100000u;
34 memcpy(p, &T4[a], 4);
35 memcpy(p + 4, &T5[b], 8);
36 }
37
38 // Copy 8 bytes via a register (safe for our overlapping shift-by-one).
39 static inline void move8(char *dst, const char *src) {
40 uint64_t t;
41 memcpy(&t, src, 8);
42 memcpy(dst, &t, 8);
43 }
44
45 static inline uint32_t rotr32(uint32_t x, unsigned r) {
46 return (x >> r) | (x << (32 - r));
47 }
48
49 size_t float_print(float f, char *out) {
50 uint32_t bits;
51 memcpy(&bits, &f, 4);
52 const uint32_t ieeeMantissa = bits & 0x7FFFFFu;
53 const uint32_t ieeeExponent = bits >> 23 & 0xFFu;
54
55 if (__builtin_expect(ieeeExponent == 0xFF, 0)) {
56 if (ieeeMantissa) { memcpy(out, "nan", 3); return 3; }
57 if (bits >> 31) { memcpy(out, "-inf", 4); return 4; }
58 memcpy(out, "inf", 3);
59 return 3;
60 }
61
62 char *p = out;
63 *p = '-';
64 p += bits >> 31;
65
66 uint32_t digits;
67 int32
... [5497 chars truncated]
assistant
Let me apply micro-optimizations: pack ETAB into u64s, and mark rare paths cold:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\nold = '''w(\"typedef struct { char s[4]; uint32_t len; } etab_t;\")\nw(\"static const etab_t ETAB[84] = {\")\nfor e in range(-45, 39):\n s = \"e\" + str(e)\n lit = \"\".join(\"'%c',\" % c for c in s) + \"0,\" * (4 - len(s))\n w(\" {{%s}, %d},\" % (lit.rstrip(','), len(s)))\nw(\"};\")'''\nnew = '''w(\"// ETAB[i]: exponent suffix for scientific exponent (i-45): bytes 0..3 are\")\nw(\"// the ASCII chars (zero padded), byte 7 is the length.\")\nw(\"static const uint64_t ETAB[84] = {\")\nrow = []\nfor e in range(-45, 39):\n s = \"e\" + str(e)\n x = 0\n for i, ch in enumerate(s):\n x |= ord(ch) << (8 * i)\n x |= len(s) << 56\n row.append(\"0x%016Xull,\" % x)\n if len(row) == 6:\n w(\" \" + \" \".join(row)); row = []\nif row: w(\" \" + \" \".join(row))\nw(\"};\")'''\nassert old in src\nsrc = src.replace(old, new)\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h 2>/dev/null && cp /tmp/gen_tables.py submission/gen_tables.py.txt\npython3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nold = ''' p += len;\n const etab_t *et = &ETAB[dp - 1 + 45];\n memcpy(p, et->s, 4);\n return (size_t)(p - out) + et->len;'''\nnew = ''' p += len;\n const uint64_t et = ETAB[dp - 1 + 45];\n memcpy(p, &et, 4);\n return (size_t)(p - out) + (uint32_t)(et >> 56);'''\nassert old in src\
... [114 chars truncated]
tool result
cost 23,864,283 score +8.3751
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\n# Also combine the \"0.000\" prefix path using u64 store: memcpy(p,\"0.000000\",8)? p+=2-dp writes over\nold = ''' } else if (dp >= -3) {\n // 0.[000]digits\n memcpy(p, \"0.000\", 5);\n p += 2 - dp;\n write9(d9, p);\n return (size_t)(p - out) + olength;\n }'''\nnew = ''' } else if (dp >= -3) {\n // 0.[000]digits\n memcpy(p, \"0.00000000\", 8);\n p += 2 - dp;\n write9(d9, p);\n return (size_t)(p - out) + olength;\n }'''\nassert old in src\nsrc = src.replace(old, new)\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000}
tool result
cost 23,864,283 score +8.3751
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1|tail -2 && cp submission/solve.c /tmp/s_8375.c", "timeout": 600000}
tool result
measure 0.1s 23,864,283 instructions (given: 7,923,401,327)
SCORE +8.3751 (332.019x)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && cc -O2 -std=c17 -fno-lto -g -I ../submission ../submission/solve.c ../verify/runner.c -o /tmp/mrunner -lm && valgrind --tool=callgrind --toggle-collect=float_print --collect-atstart=no --dump-line=no --callgrind-out-file=/tmp/cg.out /tmp/mrunner corpus_7.bin >/dev/null 2>&1; callgrind_annotate /tmp/cg.out 2>/dev/null | sed -n '/Auto-annotated/,$p' | grep -vE '^\\s+\\.\\s' | sed -n 4,110p", "timeout": 120000}
tool result
-- line 17 ----------------------------------------
200,000 ( 4.32%) const uint32_t t = (uint32_t)((32 - __builtin_clz(v)) * 1233) >> 12;
200,000 ( 4.32%) return t + (v >= P10[t]);
150,000 ( 3.24%) const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000
87,876 ( 1.90%) const uint32_t b = d9 - a * 100000u;
150,000 ( 3.24%) memcpy(p, &T4[a], 4);
162,124 ( 3.51%) memcpy(p + 4, &T5[b], 8);
24,521 ( 0.53%) memcpy(&t, src, 8);
24,521 ( 0.53%) memcpy(dst, &t, 8);
58,098 ( 1.26%) return (x >> r) | (x << (32 - r));
150,000 ( 3.24%) size_t float_print(float f, char *out) {
50,000 ( 1.08%) memcpy(&bits, &f, 4);
100,000 ( 2.16%) const uint32_t ieeeMantissa = bits & 0x7FFFFFu;
150,000 ( 3.24%) const uint32_t ieeeExponent = bits >> 23 & 0xFFu;
100,000 ( 2.16%) if (__builtin_expect(ieeeExponent == 0xFF, 0)) {
50,000 ( 1.08%) *p = '-';
200,000 ( 4.32%) p += bits >> 31;
100,000 ( 2.16%) if (__builtin_expect(ieeeMantissa == 0, 0)) {
206 ( 0.00%) if (ieeeExponent == 0) {
206 ( 0.00%) digits = POW2_DEC[ieeeExponent].digits;
103 ( 0.00%) k = POW2_DEC[ieeeExponent].k;
103 ( 0.00%) goto format;
299,382 ( 6.47%) if ((ieeeMantissa & ei.mask) == 0) {
36,372 ( 0.79%) const uint32_t m = (0x800000u | ieeeMantissa) >> ei.ishift;
24,248 ( 0.52%) write9(m * NORM[n], p);
12,124 ( 0.26%) return (size_t)(p - out) + n;
75,546 ( 1.63%) const bool even = (ieeeMantissa & 1) == 0; // include both endpoints iff even
113,319 ( 2.45%) const uint32_t u = (ieeeMantissa << ei.sh1) + ei.addend; // ((two_fc|1) << beta)
113,319 ( 2.45%) const u128 pz = (u128)u * ei.cache;
56,175 ( 1.21%) const bool z_int = (uint32_t)((uint64_t)pz >> 32) == 0;
75,546 ( 1.63%) uint32_t q = (uint32_t)(((uint64_t)zi * 1374389535ull) >> 37); // zi / 100
75,546 ( 1.63%) uint32_t r = zi - 100u * q;
113,319 ( 2.45%) if (r < ei.deltai) {
152,368 ( 3.29%) if ((r | (uint32_t)!z_int | (uint32_t)even) == 0) {
28 ( 0.00%) digits = 10u * q - 1;
37,773 ( 0.82%) k = ei.k1;
14 ( 0.00%) goto format;
37,454 ( 0.81%) } else if (r == ei.deltai) {
1,452 ( 0.03%) const uint64_t px = (uint64_t)(two_fc - 1) * ei.cache; // low 64 of 96-bit
1,612 ( 0.03%) const bool x_parity = (px >> (64 - ei.beta)) & 1;
2,420 ( 0.05%) const bool x_int = (uint32_t)(px >> (32 - ei.beta)) == 0;
1,946 ( 0.04%)
... [2052 chars truncated]
assistant
Now restructure the formatter to eliminate the strip ladder entirely, deriving significant-digit count from table tz bytes (dp is invariant under stripping):
tool call: write
{"content": "// solve.c \u2014 fast shortest round-trip float32 printing.\n// Dragonbox algorithm (Junekey Jeon, 2020/2022), binary32 variant with the\n// \"shortest, any-representative\" rounding policy, per-IEEE-exponent\n// precomputed tables, and a table-driven formatter specialized for this\n// task's format rules. Trailing-zero handling is folded into the digit\n// tables (T4/T5 carry trailing-zero counts), so no strip loop is needed.\n#include <stdint.h>\n#include <stddef.h>\n#include <string.h>\n#include <stdbool.h>\n#include \"tables.h\"\n\ntypedef unsigned __int128 u128;\n\n// NORM[len] = 10^(9-len): scales a len-digit number to exactly 9 digits.\nstatic const uint32_t NORM[10] = {\n 0, 100000000u, 10000000u, 1000000u, 100000u, 10000u, 1000u, 100u, 10u, 1u,\n};\n// P10[t] = 10^t (for the branchless decimal length).\nstatic const uint32_t P10[10] = {\n 1u, 10u, 100u, 1000u, 10000u, 100000u, 1000000u, 10000000u, 100000000u,\n 1000000000u,\n};\n\n// Number of decimal digits in v (v >= 1), branch-free.\nstatic inline uint32_t declen(uint32_t v) {\n const uint32_t t = (uint32_t)((32 - __builtin_clz(v)) * 1233) >> 12;\n return t + (v >= P10[t]);\n}\n\n// Write d9 (exactly 9 decimal digits, the value left-aligned with pad zeros)\n// at p[0..8] (plus 3 scratch bytes at p[9..11], one of which is a binary tz\n// count that is never inside the counted output). Returns the number of\n// significant digits, i.e. 9 minus the count of decimal trailing zeros.\nstatic inline ui
... [5431 chars truncated]
tool result
Updated /tmp/bench4-jc-float-print/tasks/float-print/submission/solve.c (193 lines):
2- // Dragonbox algorithm (Junekey Jeon, 2020/2022), binary32 variant with
3- // round-to-nearest-even, per-IEEE-exponent precomputed tables, and a
4- // table-driven formatter specialized for this task's format rules.
2+ // Dragonbox algorithm (Junekey Jeon, 2020/2022), binary32 variant with the
3+ // "shortest, any-representative" rounding policy, per-IEEE-exponent
4+ // precomputed tables, and a table-driven formatter specialized for this
5+ // task's format rules. Trailing-zero handling is folded into the digit
6+ // tables (T4/T5 carry trailing-zero counts), so no strip loop is needed.
29- // Write d9 (exactly 9 decimal digits, may include trailing pad zeros) plus
30- // 3 more '0' pad bytes at p[0..12). Two table loads, two stores.
31- static inline void write9(uint32_t d9, char *p) {
31+ // Write d9 (exactly 9 decimal digits, the value left-aligned with pad zeros)
32+ // at p[0..8] (plus 3 scratch bytes at p[9..11], one of which is a binary tz
33+ // count that is never inside the counted output). Returns the number of
34+ // significant digits, i.e. 9 minus the count of decimal trailing zeros.
35+ static inline uint32_t write9(uint32_t d9, char *p) {
38+ const uint64_t t5 = T5[b];
35- memcpy(p + 4, &T5[b], 8);
40+ memcpy(p + 4, &t5, 8);
41+ const uint32_t tz = b ? (uint32_t)(t5 >> 56) : 5u + TZ4[a];
...
assistant
Wait, there's a subtle bug risk: `write9` writes 12 bytes including a binary tz byte at p[11]. In the integer path with dp up to 9, output is at most 9 chars, fine. Let me verify:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && /tmp/measure.sh && cc -O2 -std=c17 -fno-lto -I submission submission/solve.c verify/verify.c -o /tmp/v -lm -lpthread && /tmp/v 7 && echo VERIFY-OK", "timeout": 300000}
tool result
cost 24,099,722 score +8.3610
verify: PASS (15631489 cases)
VERIFY-OK
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp /tmp/s_8375.c submission/solve.c && /tmp/measure.sh", "timeout": 120000}
tool result
cost 23,864,283 score +8.3751
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nold = ''' if (r < ei.deltai) {\n if ((r | (uint32_t)!z_int | (uint32_t)even) == 0) {'''\nnew = ''' if (r < ei.deltai) {\n if (__builtin_expect(r == 0, 0) && !even && z_int) {'''\nassert old in src\nsrc = src.replace(old, new)\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000}
tool result
cost 24,624,990 score +8.3299
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp /tmp/s_8375.c submission/solve.c && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\n# The strip ladder: q < 10^8 always after step2 (zi < ~6.7e8/... check). q = zi/100 and zi <= 2^32-1 so q <= ~4.3e7 -> < 10^8, ok as stated.\n# Try only 2 levels of ladder since digits<=4.3e7 has at most 7 trailing zeros. Keep as is.\n# Try replacing declen+NORM with combined LUT indexed by clz? Actually NORM[olength] load already cheap.\n# Try to reduce: (r | !z_int | even)==0 --> ((r==0) & !even & z_int); measured worse.\n# Try marking r<deltai as likely? Actually schub: which branch is more common? step3 rare (18k/50k... no, 9201 k=ei.k1 -> step3 count = 18393/... let me count)\nEOF\ngrep -c \"\" /dev/null; echo"}
tool result
0
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nold = ''' {\n uint32_t t = rotr32(digits * 184254097u, 4); // * inv(5^4) ror 4\n if (t < 429497u) { digits = t; k += 4; }\n t = rotr32(digits * 42949673u, 2); // * inv(5^2) ror 2\n if (t < 42949673u) { digits = t; k += 2; }\n t = rotr32(digits * 1288490189u, 1); // * inv(5) ror 1\n if (t < 429496730u) { digits = t; k += 1; }\n }\n goto format;'''\nnew = ''' {\n uint32_t t = rotr32(digits * 1288490189u, 1); // * inv(5) ror 1\n if (t < 429496730u) { // divisible by 10?\n digits = t; k += 1;\n t = rotr32(digits * 184254097u, 4); // * inv(5^4) ror 4\n if (t < 429497u) { digits = t; k += 4; }\n t = rotr32(digits * 42949673u, 2); // * inv(5^2) ror 2\n if (t < 42949673u) { digits = t; k += 2; }\n }\n }\n goto format;'''\nassert old in src\nsrc = src.replace(old, new)\nold2 = ''' uint32_t t = rotr32(digits * 184254097u, 4);\n if (t < 429497u) { digits = t; k += 4; }\n t = rotr32(digits * 42949673u, 2);\n if (t < 42949673u) { digits = t; k += 2; }\n t = rotr32(digits * 1288490189u, 1);\n if (t < 429496730u) { digits = t; k += 1; }\n goto format;'''\nnew2 = ''' uint32_t t = rotr32(digits * 1288490189u, 1);
... [434 chars truncated]
tool result
cost 24,068,493 score +8.3628
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp /tmp/s_8375.c submission/solve.c && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\n# hoist 'k = ei.k1' before the branch so all paths share it; use k+=1 in step2.\nold = ''' if (r < ei.deltai) {\n if ((r | (uint32_t)!z_int | (uint32_t)even) == 0) {\n // zi is the excluded right endpoint: back off into the interval.\n digits = 10u * q - 1;\n k = ei.k1;\n goto format;\n }\n k = ei.k1 + 1;'''\nnew = ''' k = ei.k1;\n if (r < ei.deltai) {\n if ((r | (uint32_t)!z_int | (uint32_t)even) == 0) {\n // zi is the excluded right endpoint: back off into the interval.\n digits = 10u * q - 1;\n goto format;\n }\n k += 1;'''\nassert old in src\nsrc = src.replace(old, new)\nold2 = ''' if (x_parity | (x_int & even)) {\n k = ei.k1 + 1;\n digits = q;'''\nnew2 = ''' if (x_parity | (x_int & even)) {\n k += 1;\n digits = q;'''\nassert old2 in src\nsrc = src.replace(old2, new2)\nold3 = ''' digits -= (uint32_t)(div10 & z_int);\n }\n k = ei.k1;'''\nnew3 = ''' digits -= (uint32_t)(div10 & z_int);\n }'''\nassert old3 in src\nsrc = src.replace(old3, new3)\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000}
tool result
cost 23,864,283 score +8.3751
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp submission/solve.c /tmp/s_8375b.c && sed -i '11i #pragma GCC optimize(\"O3\")' submission/solve.c && /tmp/measure.sh", "timeout": 120000}
tool result
cost 23,864,283 score +8.3751
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp /tmp/s_8375b.c submission/solve.c && head -70 submission/solve.c | sed -n 49,70p"}
tool result
size_t float_print(float f, char *out) {
uint32_t bits;
memcpy(&bits, &f, 4);
const uint32_t ieeeMantissa = bits & 0x7FFFFFu;
const uint32_t ieeeExponent = bits >> 23 & 0xFFu;
if (__builtin_expect(ieeeExponent == 0xFF, 0)) {
if (ieeeMantissa) { memcpy(out, "nan", 3); return 3; }
if (bits >> 31) { memcpy(out, "-inf", 4); return 4; }
memcpy(out, "inf", 3);
return 3;
}
char *p = out;
*p = '-';
p += bits >> 31;
uint32_t digits;
int32_t k;
if (__builtin_expect(ieeeMantissa == 0, 0)) {
// Zero, or an exact power of two (dragonbox's shorter-interval case):
--- Command finished with exit code: 0 ---
assistant
Callgrind counts instructions, not branch stalls, so converting branchless code to rare-branch code is a win here. Let me restructure:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nold = ''' // ---- Dragonbox core (normal interval; kappa = 1) ----\n const uint32_t two_fc = (ieeeMantissa << 1) + ei.hb2;\n const bool even = (ieeeMantissa & 1) == 0; // include both endpoints iff even\n\n // Step 1: zi = floor(((two_fc+1) << beta) * cache / 2^64), plus integer flag.\n const uint32_t u = (ieeeMantissa << ei.sh1) + ei.addend; // ((two_fc|1) << beta)\n const u128 pz = (u128)u * ei.cache;\n const uint32_t zi = (uint32_t)(uint64_t)(pz >> 64);\n const bool z_int = (uint32_t)((uint64_t)pz >> 32) == 0;\n\n // Step 2: try the larger divisor (100).\n uint32_t q = (uint32_t)(((uint64_t)zi * 1374389535ull) >> 37); // zi / 100\n uint32_t r = zi - 100u * q;\n\n k = ei.k1;\n if (r < ei.deltai) {\n if ((r | (uint32_t)!z_int | (uint32_t)even) == 0) {\n // zi is the excluded right endpoint: back off into the interval.\n digits = 10u * q - 1;\n goto format;\n }\n k += 1;'''\nnew = ''' // ---- Dragonbox core (normal interval; kappa = 1) ----\n // Note: under the instruction-count cost model, rare branches are cheaper\n // than branchless setcc/cmov chains, so exclusions are coded as branches.\n const bool even = (ieeeMantissa & 1) == 0; // include both endpoints iff even\n\n // Step 1: zi = floor(((two_fc+1) << beta) * cache / 2^64), plus integer flag.\n const uin
... [2158 chars truncated]
tool result
cost 23,688,029 score +8.3858
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cc -O2 -std=c17 -fno-lto -I submission submission/solve.c verify/verify.c -o /tmp/v -lm -lpthread && /tmp/v 7 && cp submission/solve.c /tmp/s_8386.c", "timeout": 300000}
tool result
verify: PASS (15631489 cases)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\n# strip ladder: q <= 42949672 (zi/100), max 7 tz. But note the most common case has few zeros.\n# Try early-exit ladder ordered 1,2,4:\nold = ''' {\n uint32_t t = rotr32(digits * 184254097u, 4); // * inv(5^4) ror 4\n if (t < 429497u) { digits = t; k += 4; }\n t = rotr32(digits * 42949673u, 2); // * inv(5^2) ror 2\n if (t < 42949673u) { digits = t; k += 2; }\n t = rotr32(digits * 1288490189u, 1); // * inv(5) ror 1\n if (t < 429496730u) { digits = t; k += 1; }\n }\n goto format;'''\nnew = ''' {\n uint32_t t = rotr32(digits * 1288490189u, 1); // * inv(5) ror 1\n if (t < 429496730u) { // at least one zero\n digits = t; k += 1;\n t = rotr32(digits * 42949673u, 2); // * inv(5^2) ror 2\n if (t < 42949673u) {\n digits = t; k += 2;\n t = rotr32(digits * 184254097u, 4); // * inv(5^4) ror 4\n if (t < 429497u) { digits = t; k += 4; }\n else {\n t = rotr32(digits * 1288490189u, 1);\n if (t < 429496730u) { digits = t; k += 1; }\n }\n } else {\n t = rotr32(digits * 1288490189u, 1);\n if (t < 429496730u) { digits = t; k += 1; }\n }\n }\n }\n goto format;'''\nassert ol
... [123 chars truncated]
tool result
cost 23,560,361 score +8.3936
--- Command finished with exit code: 0 ---
assistant
Wait, my new ladder is incorrect for tz=5,6 cases. Let me fix: after first strip-by-1 succeeds, run the full 4,2,1 ladder:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nold = ''' {\n uint32_t t = rotr32(digits * 1288490189u, 1); // * inv(5) ror 1\n if (t < 429496730u) { // at least one zero\n digits = t; k += 1;\n t = rotr32(digits * 42949673u, 2); // * inv(5^2) ror 2\n if (t < 42949673u) {\n digits = t; k += 2;\n t = rotr32(digits * 184254097u, 4); // * inv(5^4) ror 4\n if (t < 429497u) { digits = t; k += 4; }\n else {\n t = rotr32(digits * 1288490189u, 1);\n if (t < 429496730u) { digits = t; k += 1; }\n }\n } else {\n t = rotr32(digits * 1288490189u, 1);\n if (t < 429496730u) { digits = t; k += 1; }\n }\n }\n }\n goto format;'''\nnew = ''' {\n // Trailing-zero strip via exact-division ladder. The common case has\n // no trailing zero, so test divisibility by 10 first; afterwards the\n // 4+2+1 greedy ladder removes the remaining zeros (max 7 total).\n uint32_t t = rotr32(digits * 1288490189u, 1); // * inv(5) ror 1\n if (__builtin_expect(t < 429496730u, 0)) { // at least one zero\n digits = t; k += 1;\n t = rotr32(digits * 184254097u, 4); // * inv(5^4) ror 4\n if (t < 429497u) { digits = t; k += 4; }\n t = r
... [506 chars truncated]
tool result
cost 23,932,237 score +8.3710
verify: PASS (15631489 cases)
--- Command finished with exit code: 0 ---
assistant
The straight ladder in s_8386 was better. Revert:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp /tmp/s_8386.c submission/solve.c && /tmp/measure.sh", "timeout": 120000}
tool result
cost 23,688,029 score +8.3858
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cat > /tmp/stats.c <<'EOF'\n#include <stdint.h>\n#include <stdio.h>\n#include <string.h>\n#include <stdlib.h>\nsize_t float_print(float f, char *out);\n// count outputs by significant digits from corpus\nint main(int argc,char**argv){\n FILE*fp=fopen(argv[1],\"rb\");fseek(fp,0,SEEK_END);long sz=ftell(fp);fseek(fp,0,SEEK_SET);\n uint32_t*b=malloc(sz);fread(b,1,sz,fp);fclose(fp);\n size_t n=sz/4;\n long hist[20]={0};\n char out[64];\n for(size_t i=0;i<n;i++){\n float f;memcpy(&f,&b[i],4);\n size_t r=float_print(f,out);out[r]=0;\n int sig=0;\n for(char*c=out;*c&&*c!='e';c++)if(*c>='0'&&*c<='9')sig++;\n hist[r<20?r:19]++;\n }\n for(int i=0;i<20;i++)if(hist[i])printf(\"len %d: %ld\\n\",i,hist[i]);\n return 0;\n}\nEOF\ncc -O2 -std=c17 -I submission submission/solve.c /tmp/stats.c -o /tmp/stats && /tmp/stats .build/corpus_7.bin"}
tool result
len 1: 196
len 2: 345
len 3: 895
len 4: 1767
len 5: 2456
len 6: 8848
len 7: 2819
len 8: 2144
len 9: 4385
len 10: 5322
len 11: 2607
len 12: 7097
len 13: 8168
len 14: 2887
len 15: 64
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && cc -O2 -std=c17 -fno-lto -g -I ../submission ../submission/solve.c ../verify/runner.c -o /tmp/mrunner -lm && valgrind --tool=callgrind --toggle-collect=float_print --collect-atstart=no --dump-line=no --callgrind-out-file=/tmp/cg.out /tmp/mrunner corpus_7.bin >/dev/null 2>&1; callgrind_annotate /tmp/cg.out 2>/dev/null | sed -n '/Auto-annotated/,$p' | grep -vE '^\\s+\\.\\s' | sed -n 4,110p", "timeout": 120000}
tool result
-- line 17 ----------------------------------------
200,000 ( 4.41%) const uint32_t t = (uint32_t)((32 - __builtin_clz(v)) * 1233) >> 12;
200,000 ( 4.41%) return t + (v >= P10[t]);
150,000 ( 3.30%) const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000
87,876 ( 1.94%) const uint32_t b = d9 - a * 100000u;
150,000 ( 3.30%) memcpy(p, &T4[a], 4);
162,124 ( 3.57%) memcpy(p + 4, &T5[b], 8);
24,521 ( 0.54%) memcpy(&t, src, 8);
24,521 ( 0.54%) memcpy(dst, &t, 8);
58,098 ( 1.28%) return (x >> r) | (x << (32 - r));
200,000 ( 4.41%) size_t float_print(float f, char *out) {
50,000 ( 1.10%) memcpy(&bits, &f, 4);
100,000 ( 2.20%) const uint32_t ieeeMantissa = bits & 0x7FFFFFu;
150,000 ( 3.30%) const uint32_t ieeeExponent = bits >> 23 & 0xFFu;
100,000 ( 2.20%) if (__builtin_expect(ieeeExponent == 0xFF, 0)) {
50,000 ( 1.10%) *p = '-';
200,000 ( 4.41%) p += bits >> 31;
100,000 ( 2.20%) if (__builtin_expect(ieeeMantissa == 0, 0)) {
206 ( 0.00%) if (ieeeExponent == 0) {
206 ( 0.00%) digits = POW2_DEC[ieeeExponent].digits;
103 ( 0.00%) k = POW2_DEC[ieeeExponent].k;
103 ( 0.00%) goto format;
299,382 ( 6.60%) if ((ieeeMantissa & ei.mask) == 0) {
36,372 ( 0.80%) const uint32_t m = (0x800000u | ieeeMantissa) >> ei.ishift;
24,248 ( 0.53%) write9(m * NORM[n], p);
12,124 ( 0.27%) return (size_t)(p - out) + n;
968 ( 0.02%) const bool even = (ieeeMantissa & 1) == 0; // include both endpoints iff even
113,319 ( 2.50%) const uint32_t u = (ieeeMantissa << ei.sh1) + ei.addend; // ((two_fc|1) << beta)
188,865 ( 4.16%) const u128 pz = (u128)u * ei.cache;
75,546 ( 1.66%) uint32_t q = (uint32_t)(((uint64_t)zi * 1374389535ull) >> 37); // zi / 100
75,546 ( 1.66%) uint32_t r = zi - 100u * q;
37,773 ( 0.83%) k = ei.k1;
113,319 ( 2.50%) if (r < ei.deltai) {
39,470 ( 0.87%) if (__builtin_expect(r == 0, 0) && !even &&
28 ( 0.00%) digits = 10u * q - 1;
14 ( 0.00%) goto format;
37,454 ( 0.83%) } else if (__builtin_expect(r == ei.deltai, 0)) {
1,452 ( 0.03%) const uint64_t px = (uint64_t)(two_fc - 1) * ei.cache; // low 64 of 96-bit
1,612 ( 0.04%) const bool x_parity = (px >> (64 - ei.beta)) & 1;
1,936 ( 0.04%) const bool x_int = (uint32_t)(px >> (32 - ei.beta)) == 0;
1,946 ( 0.04%) if (x_parity | (x_int & even)) {
15,819 ( 0.35%) k
... [2049 chars truncated]
assistant
~91 instructions/call now. Prologue/epilogue is ~9/call. Let me check register pressure:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && objdump -d /tmp/mrunner | awk '/<float_print>:/,/^$/' | grep -cE 'push'; objdump -d /tmp/mrunner | awk '/<float_print>:/,/^$/' | grep -E 'push'"}
tool result
4
1340: 41 56 push %r14
1342: 41 54 push %r12
1344: 55 push %rbp
1345: 53 push %rbx
--- Command finished with exit code: 0 ---
assistant
Let me try shrink-wrapping by moving cold paths to noinline helpers:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp submission/solve.c /tmp/s_cur.c && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nold = '''size_t float_print(float f, char *out) {'''\nnew = '''__attribute__((cold, noinline))\nstatic size_t print_special(uint32_t bits, uint32_t ieeeMantissa, char *out) {\n if (ieeeMantissa) { memcpy(out, \"nan\", 3); return 3; }\n if (bits >> 31) { memcpy(out, \"-inf\", 4); return 4; }\n memcpy(out, \"inf\", 3);\n return 3;\n}\n\nsize_t float_print(float f, char *out) {'''\nassert old in src\nsrc = src.replace(old, new)\nold2 = ''' if (__builtin_expect(ieeeExponent == 0xFF, 0)) {\n if (ieeeMantissa) { memcpy(out, \"nan\", 3); return 3; }\n if (bits >> 31) { memcpy(out, \"-inf\", 4); return 4; }\n memcpy(out, \"inf\", 3);\n return 3;\n }'''\nnew2 = ''' if (__builtin_expect(ieeeExponent == 0xFF, 0))\n return print_special(bits, ieeeMantissa, out);'''\nassert old2 in src\nsrc = src.replace(old2, new2)\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000}
tool result
cost 24,558,008 score +8.3338
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp /tmp/s_cur.c submission/solve.c && python3 - <<'EOF'\n# Idea: 12124/50000 go through int fast path with declen+write9. The write9 there doesn't need tz.\n# But bigger: reduce entry overhead. Try computing sign advance without writing '-' always?\n# '-' write is 1 store; p += bits>>31 counted 200000 (4 insn/call!?). Look at asm.\nEOF\nobjdump -d /tmp/mrunner | awk '/<float_print>:/,/^$/' | sed -n 1,30p"}
tool result
0000000000001370 <float_print>:
1370: 66 41 0f 7e c2 movd %xmm0,%r10d
1375: 49 89 f8 mov %rdi,%r8
1378: 44 89 d0 mov %r10d,%eax
137b: 44 89 d6 mov %r10d,%esi
137e: c1 e8 17 shr $0x17,%eax
1381: 81 e6 ff ff 7f 00 and $0x7fffff,%esi
1387: 0f b6 c0 movzbl %al,%eax
138a: 3d ff 00 00 00 cmp $0xff,%eax
138f: 0f 84 69 fd ff ff je 10fe <float_print.cold>
1395: 44 89 d2 mov %r10d,%edx
1398: 41 56 push %r14
139a: c1 ea 1f shr $0x1f,%edx
139d: 41 55 push %r13
139f: 41 54 push %r12
13a1: 55 push %rbp
13a2: 53 push %rbx
13a3: c6 07 2d movb $0x2d,(%rdi)
13a6: 89 d7 mov %edx,%edi
13a8: 4d 8d 0c 38 lea (%r8,%rdi,1),%r9
13ac: 85 f6 test %esi,%esi
13ae: 0f 84 fc 02 00 00 je 16b0 <float_print+0x340>
13b4: 48 8d 14 80 lea (%rax,%rax,4),%rdx
13b8: 48 8d 05 c1 e8 0c 00 lea 0xce8c1(%rip),%rax # cfc80 <EXP_INFO>
13bf: 48 8d 2c d0 lea (%rax,%rdx,8),%rbp
13c3: 89 f0 mov %esi,%eax
13c5: 23 45 20 and 0x20(%rbp),%eax
13c8: 0f 84 92 01 00 00 je 1560 <float_print+0x1f0>
13ce: 8b 4d 10 mov 0x10(%rbp),%ecx
13d1: 48 8b 45 00 mov 0x0(%rbp),%rax
--- Command finished with exit code: 0 ---
assistant
Let me try a 32-byte struct (power-of-two indexing) with beta derived from sh1:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\nold = '''w(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai;\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, hb2, beta, mask, ishift;\")\nw(\"} exp_info_t;\")'''\nnew = '''w(\"// 32-byte entries: index*32 is a single shift. beta == sh1 - 1;\")\nw(\"// hb2 (hidden bit of two_fc) is derived from ieeeExponent at use site.\")\nw(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai;\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, mask, ishift;\")\nw(\"} exp_info_t;\")'''\nassert old in src, src[src.find('typedef'):src.find('typedef')+400]\nsrc = src.replace(old, new)\nold2 = ''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du, %du, %du},\" %\n (cache, deltai, minus_k + 1, sh1, addend, hb2, beta, mask, ishift))'''\nnew2 = ''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du},\" %\n (cache, deltai, minus_k + 1, sh1, addend, mask, ishift))'''\nassert old2 in src\nsrc = src.replace(old2, new2)\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h 2>/dev/null && cp /tmp/gen_tables.py submission/gen_tables.py.txt\npython3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nsrc = src.replace(''' const uint32_t two_fc = (ieeeMantissa << 1) + ei.hb2;\n const uint64_t px = (uint64_t)(two_fc - 1) * ei.cache; // lo
... [593 chars truncated]
tool result
cost 24,384,266 score +8.3440
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\nold = '''w(\"// 32-byte entries: index*32 is a single shift. beta == sh1 - 1;\")\nw(\"// hb2 (hidden bit of two_fc) is derived from ieeeExponent at use site.\")\nw(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai;\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, mask, ishift;\")\nw(\"} exp_info_t;\")'''\nnew = '''w(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai;\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, hb2, beta, mask, ishift;\")\nw(\"} exp_info_t;\")'''\nassert old in src\nsrc = src.replace(old, new)\nold2 = ''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du},\" %\n (cache, deltai, minus_k + 1, sh1, addend, mask, ishift))'''\nnew2 = ''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du, %du, %du},\" %\n (cache, deltai, minus_k + 1, sh1, addend, hb2, beta, mask, ishift))'''\nassert old2 in src\nsrc = src.replace(old2, new2)\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h 2>/dev/null && cp /tmp/gen_tables.py submission/gen_tables.py.txt && cp /tmp/s_8386.c submission/solve.c && /tmp/measure.sh", "timeout": 120000}
tool result
cost 23,688,029 score +8.3858
--- Command finished with exit code: 0 ---
assistant
Let me try lazy evaluation of `even` (only needed on rare paths):
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nold = ''' const bool even = (ieeeMantissa & 1) == 0; // include both endpoints iff even\n\n // Step 1'''\nnew = ''' // Both interval endpoints are included iff the mantissa is even.\n#define EVEN ((ieeeMantissa & 1) == 0)\n\n // Step 1'''\nassert old in src\nsrc = src.replace(old, new)\nsrc = src.replace('!even &&', '!EVEN &&')\nsrc = src.replace('(x_int & even)', '(x_int & EVEN)')\nsrc = src.replace('#undef ei', '#undef EVEN\\n#undef ei')\nopen('submission/solve.c','w').write(src)\nEOF\ngrep -n \"even\" submission/solve.c | head; /tmp/measure.sh", "timeout": 120000}
tool result
3:// round-to-nearest-even, per-IEEE-exponent precomputed tables, and a
97: // Both interval endpoints are included iff the mantissa is even.
cost 23,756,589 score +8.3816
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp /tmp/s_8386.c submission/solve.c && python3 - <<'EOF'\n# Alternative: fold 'even' test using ieeeMantissa&1 directly with bitwise ops:\nsrc = open('submission/solve.c').read()\nold = ''' if (__builtin_expect(r == 0, 0) && !even &&'''\nnew = ''' if (__builtin_expect(r == 0, 0) && (ieeeMantissa & 1) &&'''\nassert old in src\nsrc = src.replace(old, new)\nold2 = ''' if (!even && (uint16_t)prod < 6554u /* r divisible by 10 */ &&'''\nnew2 = ''' if ((ieeeMantissa & 1) && (uint16_t)prod < 6554u /* r divisible by 10 */ &&'''\nassert old2 in src\nsrc = src.replace(old2, new2)\nold3 = ''' if (x_parity | (x_int & even)) {'''\nnew3 = ''' if (x_parity | (x_int & even)) {'''\nsrc = src.replace(old3, new3)\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000}
tool result
cost 23,688,029 score +8.3858
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp submission/solve.c /tmp/s_cur.c && python3 - <<'EOF'\n# Try moving `const bool even` def into rare paths only\nsrc = open('submission/solve.c').read()\nold = ''' const bool even = (ieeeMantissa & 1) == 0; // include both endpoints iff even\n\n // Step 1'''\nnew = ''' // Step 1'''\nassert old in src\nsrc = src.replace(old, new)\nold2 = ''' if (x_parity | (x_int & even)) {'''\nnew2 = ''' if (x_parity | (x_int & ((ieeeMantissa & 1) == 0))) {'''\nassert old2 in src\nsrc = src.replace(old2, new2)\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000}
tool result
cost 23,495,299 score +8.3976
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cc -O2 -std=c17 -fno-lto -I submission submission/solve.c verify/verify.c -o /tmp/v -lm -lpthread && /tmp/v 7 && cp submission/solve.c /tmp/s_8398.c", "timeout": 300000}
tool result
verify: PASS (15631489 cases)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\n# Try: check whether the sign handling can avoid unconditional '-' store.\nsrc = open('submission/solve.c').read()\nold = ''' char *p = out;\n *p = '-';\n p += bits >> 31;'''\nnew = ''' char *p = out;\n if ((int32_t)bits < 0) *p++ = '-';'''\nassert old in src\nsrc = src.replace(old, new)\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000}
tool result
cost 22,524,836 score +8.4585
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cp submission/solve.c /tmp/s_8458.c && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\n# declen: branch-free uses 2 lookups. Try branchy small-first?\n# write9 in integer fast path: for m < 100 (very common in corpus? ints up to 2^20) maybe short-circuit.\n# The corpus has 15% small ints < 2^20 (~7500) + round decimals produce ints too.\n# Try special int printing without write9's full 9-digit write: not needed; keep.\n# Try: dp<=9 test already handles; fine.\n\n# Optimization: only compute d9 when needed per path is same.\n# Try branch on k>=0 first with expect? measure distribution: k>=0 3602+? ints path separate.\nEOF\necho"}
tool result
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && ./grade --seed 7 2>&1 | tail -3 && git add -A submission 2>/dev/null; git -C . commit -q -m \"float-print: dragonbox-based printer, +8.46\" submission 2>/dev/null; echo committed", "timeout": 600000}
tool result
verify 3.7s PASS
measure 0.1s 22,525,964 instructions (given: 7,923,401,327)
SCORE +8.4584 (351.745x)
committed
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print/.build && cc -O2 -std=c17 -fno-lto -g -I ../submission ../submission/solve.c ../verify/runner.c -o /tmp/mrunner -lm && valgrind --tool=callgrind --toggle-collect=float_print --collect-atstart=no --dump-line=no --callgrind-out-file=/tmp/cg.out /tmp/mrunner corpus_7.bin >/dev/null 2>&1; callgrind_annotate /tmp/cg.out 2>/dev/null | sed -n '/Auto-annotated/,$p' | grep -vE '^\\s+\\.\\s' | sed -n 4,110p", "timeout": 120000}
tool result
-- line 17 ----------------------------------------
200,000 ( 4.60%) const uint32_t t = (uint32_t)((32 - __builtin_clz(v)) * 1233) >> 12;
200,000 ( 4.60%) return t + (v >= P10[t]);
150,000 ( 3.45%) const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000
87,876 ( 2.02%) const uint32_t b = d9 - a * 100000u;
150,000 ( 3.45%) memcpy(p, &T4[a], 4);
162,124 ( 3.73%) memcpy(p + 4, &T5[b], 8);
24,521 ( 0.56%) memcpy(&t, src, 8);
24,521 ( 0.56%) memcpy(dst, &t, 8);
58,098 ( 1.34%) return (x >> r) | (x << (32 - r));
150,000 ( 3.45%) size_t float_print(float f, char *out) {
50,000 ( 1.15%) memcpy(&bits, &f, 4);
100,000 ( 2.30%) const uint32_t ieeeMantissa = bits & 0x7FFFFFu;
150,000 ( 3.45%) const uint32_t ieeeExponent = bits >> 23 & 0xFFu;
100,000 ( 2.30%) if (__builtin_expect(ieeeExponent == 0xFF, 0)) {
50,000 ( 1.15%) char *p = out;
122,240 ( 2.81%) if ((int32_t)bits < 0) *p++ = '-';
100,000 ( 2.30%) if (__builtin_expect(ieeeMantissa == 0, 0)) {
206 ( 0.00%) if (ieeeExponent == 0) {
206 ( 0.00%) digits = POW2_DEC[ieeeExponent].digits;
103 ( 0.00%) k = POW2_DEC[ieeeExponent].k;
103 ( 0.00%) goto format;
299,382 ( 6.89%) if ((ieeeMantissa & ei.mask) == 0) {
36,372 ( 0.84%) const uint32_t m = (0x800000u | ieeeMantissa) >> ei.ishift;
24,248 ( 0.56%) write9(m * NORM[n], p);
24,248 ( 0.56%) return (size_t)(p - out) + n;
113,319 ( 2.61%) const uint32_t u = (ieeeMantissa << ei.sh1) + ei.addend; // ((two_fc|1) << beta)
188,865 ( 4.34%) const u128 pz = (u128)u * ei.cache;
75,546 ( 1.74%) uint32_t q = (uint32_t)(((uint64_t)zi * 1374389535ull) >> 37); // zi / 100
75,546 ( 1.74%) uint32_t r = zi - 100u * q;
37,773 ( 0.87%) k = ei.k1;
113,319 ( 2.61%) if (r < ei.deltai) {
40,438 ( 0.93%) if (__builtin_expect(r == 0, 0) && (ieeeMantissa & 1) &&
28 ( 0.00%) digits = 10u * q - 1;
14 ( 0.00%) goto format;
37,454 ( 0.86%) } else if (__builtin_expect(r == ei.deltai, 0)) {
1,452 ( 0.03%) const uint64_t px = (uint64_t)(two_fc - 1) * ei.cache; // low 64 of 96-bit
1,612 ( 0.04%) const bool x_parity = (px >> (64 - ei.beta)) & 1;
1,936 ( 0.04%) const bool x_int = (uint32_t)(px >> (32 - ei.beta)) == 0;
1,946 ( 0.04%) if (x_parity | (x_int & ((ieeeMantissa & 1) == 0))) {
15,819 ( 0.36%) k += 1;
15,819 ( 0.36%) digits = q;
... [2019 chars truncated]
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\nold = '''w(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai;\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, hb2, beta, mask, ishift;\")\nw(\"} exp_info_t;\")'''\nnew = '''w(\"// 32-byte entries so indexing is a single shift. beta == sh1 - 1; the\")\nw(\"// hidden bit of two_fc is derived from ieeeExponent at the rare use site.\")\nw(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai;\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, mask, ishift;\")\nw(\"} exp_info_t;\")'''\nassert old in src\nsrc = src.replace(old, new)\nold2 = ''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du, %du, %du},\" %\n (cache, deltai, minus_k + 1, sh1, addend, hb2, beta, mask, ishift))'''\nnew2 = ''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du},\" %\n (cache, deltai, minus_k + 1, sh1, addend, mask, ishift))'''\nassert old2 in src\nsrc = src.replace(old2, new2)\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h 2>/dev/null && cp /tmp/gen_tables.py submission/gen_tables.py.txt\npython3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nold = ''' const uint64_t px = (uint64_t)(two_fc - 1) * ei.cache; // low 64 of 96-bit\n const bool x_parity = (px >> (64 - ei.beta)) & 1;\n const bool x_int = (uint32_t)(px >>
... [671 chars truncated]
tool result
cost 24,083,931 score +8.3619
--- Command finished with exit code: 0 ---
assistant
Revert to the 40-byte layout:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\nold = '''w(\"// 32-byte entries so indexing is a single shift. beta == sh1 - 1; the\")\nw(\"// hidden bit of two_fc is derived from ieeeExponent at the rare use site.\")\nw(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai;\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, mask, ishift;\")\nw(\"} exp_info_t;\")'''\nnew = '''w(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai;\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, hb2, beta, mask, ishift;\")\nw(\"} exp_info_t;\")'''\nsrc = src.replace(old, new)\nold2 = ''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du},\" %\n (cache, deltai, minus_k + 1, sh1, addend, mask, ishift))'''\nnew2 = ''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du, %du, %du},\" %\n (cache, deltai, minus_k + 1, sh1, addend, hb2, beta, mask, ishift))'''\nsrc = src.replace(old2, new2)\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h 2>/dev/null && cp /tmp/gen_tables.py submission/gen_tables.py.txt && cp /tmp/s_8458.c submission/solve.c && /tmp/measure.sh", "timeout": 120000}
tool result
cost 22,524,836 score +8.4585
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && grep -n \"eip\\|EXP_INFO\\[\" submission/solve.c | head"}
tool result
81: const exp_info_t * const eip = &EXP_INFO[ieeeExponent];
82:#define ei (*eip)
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\nold = '''w(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai;\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, hb2, beta, mask, ishift;\")\nw(\"} exp_info_t;\")'''\nnew = '''w(\"// Aligned to 32 bytes... actually padded to 64 so indexing is one shift.\")\nw(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai;\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, hb2, beta, mask, ishift;\")\nw(\" uint32_t pad[6];\")\nw(\"} exp_info_t;\")'''\nsrc = src.replace(old, new)\nold2 = ''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du, %du, %du},\" %\n (cache, deltai, minus_k + 1, sh1, addend, hb2, beta, mask, ishift))'''\nnew2 = ''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du, %du, %du, {0}},\" %\n (cache, deltai, minus_k + 1, sh1, addend, hb2, beta, mask, ishift))'''\nsrc = src.replace(old2, new2)\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h 2>/dev/null && /tmp/measure.sh", "timeout": 120000}
tool result
cost 22,524,836 score +8.4585
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('/tmp/gen_tables.py').read()\nsrc = src.replace('''w(\"// Aligned to 32 bytes... actually padded to 64 so indexing is one shift.\")\nw(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai;\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, hb2, beta, mask, ishift;\")\nw(\" uint32_t pad[6];\")\nw(\"} exp_info_t;\")''','''w(\"typedef struct {\")\nw(\" uint64_t cache;\")\nw(\" uint32_t deltai;\")\nw(\" int32_t k1;\")\nw(\" uint32_t sh1, addend, hb2, beta, mask, ishift;\")\nw(\"} exp_info_t;\")''')\nsrc = src.replace(''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du, %du, %du, {0}},\" %\n (cache, deltai, minus_k + 1, sh1, addend, hb2, beta, mask, ishift))''',''' rows.append(\" {0x%016Xull, %du, %d, %du, %du, %du, %du, %du, %du},\" %\n (cache, deltai, minus_k + 1, sh1, addend, hb2, beta, mask, ishift))''')\nopen('/tmp/gen_tables.py','w').write(src)\nEOF\npython3 /tmp/gen_tables.py > submission/tables.h 2>/dev/null && cp /tmp/gen_tables.py submission/gen_tables.py.txt && /tmp/measure.sh", "timeout": 120000}
tool result
cost 22,524,836 score +8.4585
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cc -O2 -std=c17 -fno-lto -g -I submission submission/solve.c verify/runner.c -o /tmp/mrunner -lm && objdump -d /tmp/mrunner | awk '/<float_print>:/,/^$/' | sed -n 1,80p"}
tool result
0000000000001340 <float_print>:
1340: 66 41 0f 7e c1 movd %xmm0,%r9d
1345: 44 89 c8 mov %r9d,%eax
1348: 45 89 c8 mov %r9d,%r8d
134b: c1 e8 17 shr $0x17,%eax
134e: 41 81 e0 ff ff 7f 00 and $0x7fffff,%r8d
1355: 0f b6 c0 movzbl %al,%eax
1358: 3d ff 00 00 00 cmp $0xff,%eax
135d: 0f 84 0d 03 00 00 je 1670 <float_print+0x330>
1363: 41 56 push %r14
1365: 48 89 fe mov %rdi,%rsi
1368: 55 push %rbp
1369: 53 push %rbx
136a: 45 85 c9 test %r9d,%r9d
136d: 79 07 jns 1376 <float_print+0x36>
136f: c6 07 2d movb $0x2d,(%rdi)
1372: 48 8d 77 01 lea 0x1(%rdi),%rsi
1376: 45 85 c0 test %r8d,%r8d
1379: 0f 84 11 03 00 00 je 1690 <float_print+0x350>
137f: 48 8d 14 80 lea (%rax,%rax,4),%rdx
1383: 48 8d 05 f6 e8 0c 00 lea 0xce8f6(%rip),%rax # cfc80 <EXP_INFO>
138a: 48 8d 2c d0 lea (%rax,%rdx,8),%rbp
138e: 44 89 c0 mov %r8d,%eax
1391: 23 45 20 and 0x20(%rbp),%eax
1394: 0f 84 86 01 00 00 je 1520 <float_print+0x1e0>
139a: 8b 4d 10 mov 0x10(%rbp),%ecx
139d: 48 8b 45 00 mov 0x0(%rbp),%rax
13a1: 45 89 c2 mov %r8d,%r10d
13a4: 8b 5d 0c mov 0xc(%rbp),%ebx
13a7: 41 d3 e2 shl %cl,%r10d
13aa: 44 03 55 14 add 0x14(%rbp),%r10d
13ae: 49 89 c6 mov %rax,%r14
13b1: 49 f7 e2 mul %r10
13b4: 49 89 c2 mov %rax,%r10
13b7: 48 69 c2 1f 85 eb 51 imul $0x51eb851f,%rdx,%rax
13be: 48 c1 e8 25 shr $0x25,%rax
13c2: 6b c8 64 imul $0x64,%eax,%ecx
13c5: 29 ca sub %ecx,%edx
13c7: 8b 4d 08 mov 0x8(%rbp),%ecx
13ca: 39 ca cmp %ecx,%edx
13cc: 0f 83 0e 01 00 00 jae 14e0 <float_print+0x1a0>
13d2: 85 d2 test %edx,%edx
13d4: 0f 84 f6 02 00 00 je 16d0 <float_print+0x390>
13da: 69 d0 91 7e fb 0a imul $0xafb7e91,%eax,%edx
13e0: c1 ca 04 ror $0x4,%edx
13e3: 81 fa b8 8d 06 00 cmp $0x68db8,%edx
13e9: 0f 86 01 02 00 00 jbe 15f0 <float_print+
... [1845 chars truncated]
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nold = ''' if (k >= 0) {\n if (dp <= 9) {\n // digits followed by k zeros: plain integer, e.g. \"1200\"\n // (write9's zero padding supplies the k zeros).\n write9(d9, p);\n return (size_t)(p - out) + (uint32_t)dp;\n }\n } else if (dp > 0) {\n // dig.its (dp < olength <= 9 since k < 0)\n write9(d9, p);\n move8(p + dp + 1, p + dp);\n p[dp] = '.';\n return (size_t)(p - out) + olength + 1;\n } else if (dp >= -3) {\n // 0.[000]digits\n memcpy(p, \"0.00000000\", 8);\n p += 2 - dp;\n write9(d9, p);\n return (size_t)(p - out) + olength;\n }'''\nnew = ''' if ((uint32_t)(dp + 3) <= 12u) { // fixed notation: -3 <= dp <= 9\n if (k >= 0) {\n // digits followed by k zeros: plain integer, e.g. \"1200\"\n // (write9's zero padding supplies the k zeros).\n write9(d9, p);\n return (size_t)(p - out) + (uint32_t)dp;\n }\n if (dp > 0) {\n // dig.its (dp < olength <= 9 since k < 0)\n write9(d9, p);\n move8(p + dp + 1, p + dp);\n p[dp] = '.';\n return (size_t)(p - out) + olength + 1;\n }\n // 0.[000]digits\n memcpy(p, \"0.00000000\", 8);\n p += 2 - dp;\n write9(d9, p);\n return (size_t)(p - out) + olength;\n }'''\nassert old in src\nsrc = src.replace(old, new)\nopen('submission/solve.c','w').write(src)\nEOF\n/tmp/measure.sh", "timeout": 120000
... [1 chars truncated]
tool result
cost 22,505,578 score +8.4597
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && cc -O2 -std=c17 -fno-lto -I submission submission/solve.c verify/verify.c -o /tmp/v -lm -lpthread && /tmp/v 7 && cp submission/solve.c /tmp/s_8460.c", "timeout": 300000}
tool result
verify: PASS (15631489 cases)
--- Command finished with exit code: 0 ---
assistant
Let me implement the no-ladder tz-table approach with integer-path shortcuts:
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\n\n# 1. write9 stays plain; add write9_tz that also returns significant digits.\nold = '''// Copy 8 bytes via a register (safe for our overlapping shift-by-one).'''\nnew = '''// Same as write9, but also returns the count of significant digits of d9\n// (9 minus its decimal trailing zeros), read from the T5/TZ4 side tables.\nstatic inline uint32_t write9_sig(uint32_t d9, char *p) {\n const uint32_t a = (uint32_t)(((uint64_t)d9 * 351843721ull) >> 45); // /100000\n const uint32_t b = d9 - a * 100000u;\n const uint64_t t5 = T5[b];\n memcpy(p, &T4[a], 4);\n memcpy(p + 4, &t5, 8);\n const uint32_t tz = b ? (uint32_t)(t5 >> 56) : 5u + TZ4[a];\n return 9u - tz;\n}\n\n// Copy 8 bytes via a register (safe for our overlapping shift-by-one).'''\nassert old in src\nsrc = src.replace(old, new)\n\n# 2. remove strip ladder in step2-accept paths\nold = ''' k += 1;\n // Accept q (digits may carry trailing zeros; the formatter handles it).\n digits = q;'''\nif old not in src:\n old = None\n# find actual text\nimport re\nm = re.search(r\" k \\+= 1;\\n digits = q;\\n // This path may produce trailing zeros.*?goto format;\", src, re.S)\nassert m, src[2000:4000]\nsrc = src[:m.start()] + ''' k += 1;\n // Accept q. digits may carry trailing zeros; the formatter strips them\n // via the tz side tables (no divide ladder needed)
... [396 chars truncated]
tool result
57:static inline uint32_t rotr32(uint32_t x, unsigned r) {
--- Command finished with exit code: 0 ---
tool call: bash
{"command": "cd /tmp/bench4-jc-float-print/tasks/float-print && python3 - <<'EOF'\nsrc = open('submission/solve.c').read()\nold = ''' if ((uint32_t)(dp + 3) <= 12u) { // fixed notation: -3 <= dp <= 9\n if (k >= 0) {\n // digits followed by k zeros: plain integer, e.g. \"1200\"\n // (write9's zero padding supplies the k zeros).\n write9(d9, p);\n return (size_t)(p - out) + (uint32_t)dp;\n }\n if (dp > 0) {\n // dig.its (dp < olength <= 9 since k < 0)\n write9(d9, p);\n move8(p + dp + 1, p + dp);\n p[dp] = '.';\n return (size_t)(p - out) + olength + 1;\n }\n // 0.[000]digits\n memcpy(p, \"0.00000000\", 8);\n p += 2 - dp;\n write9(d9, p);\n return (size_t)(p - out) + olength;\n }\n\n // Scientific: d[.igits]e[-]E\n write9(d9, p);\n uint32_t len = olength + 1;\n if (olength > 1) {\n move8(p + 2, p + 1);\n p[1] = '.';\n } else {\n len = 1;\n }\n p += len;\n const uint64_t et = ETAB[dp - 1 + 45];\n memcpy(p, &et, 4);\n return (size_t)(p - out) + (uint32_t)(et >> 56);\n}'''\nnew = ''' // digits may carry decimal trailing zeros; dp is invariant under stripping,\n // and the significant-digit count comes from write9_sig's tz side tables.\n if ((uint32_t)(dp + 3) <= 12u) { // fixed notation: -3 <= dp <= 9\n if (k >= 0) {\n // digits followed by k zeros: plain integer, e.g. \"1200\"\n // (write9's zero padding supplies the k zeros).\n write9(d9, p);\n return (size_t)(p
... [1123 chars truncated]