Herbie run
| Date: | Sunday, August 25th, 2024 |
|---|---|
| Commit: | a6ae8219 on bhargav-log-space |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024238 |
| Parameters: | 256 points for 4 iterations |
| Flags: | localize:costslocalize:errorsreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs default |
Time bar (total: 2.9min)
| 18.0s | 43 378× | 1 | valid |
| 8.6s | 6 386× | 5 | exit |
| 8.5s | 110 008× | 0 | valid |
| 4.3s | 11 734× | 2 | valid |
| 1.1s | 10 140× | 1 | exit |
| 424.0ms | 4 026× | 0 | invalid |
| 117.0ms | 1 378× | 0 | exit |
ival-tan: 8.4s (24.3% of total)ival-exp: 3.8s (11.2% of total)ival-pow: 3.4s (10% of total)const: 3.1s (8.9% of total)ival-cos: 2.4s (6.9% of total)adjust: 2.1s (6.1% of total)ival-mult: 1.5s (4.2% of total)ival-add: 1.4s (3.9% of total)ival-log: 1.2s (3.6% of total)ival-sqrt: 1.1s (3.2% of total)ival-sin: 868.0ms (2.5% of total)ival-sinh: 774.0ms (2.3% of total)ival-fmod: 764.0ms (2.2% of total)ival-sub: 658.0ms (1.9% of total)ival-div: 620.0ms (1.8% of total)ival-<=: 557.0ms (1.6% of total)ival-pow2: 427.0ms (1.2% of total)ival-acos: 305.0ms (0.9% of total)ival-hypot: 266.0ms (0.8% of total)ival-neg: 178.0ms (0.5% of total)ival-and: 109.0ms (0.3% of total)ival-true: 96.0ms (0.3% of total)ival-==: 88.0ms (0.3% of total)exact: 77.0ms (0.2% of total)ival-assert: 73.0ms (0.2% of total)ival-<: 65.0ms (0.2% of total)ival-atan: 52.0ms (0.2% of total)ival-or: 35.0ms (0.1% of total)ival->=: 27.0ms (0.1% of total)ival->: 18.0ms (0.1% of total)| 125× | egg-herbie |
| 760 504× | lower-fma.f32 |
| 760 332× | lower-fma.f64 |
| 282 450× | lower-*.f32 |
| 281 778× | lower-*.f64 |
| 174 442× | lower-+.f32 |
| 162× | iter limit |
| 68× | saturated |
| 60× | node limit |
| 9.1s | 9 740× | 0 | valid |
| 3.0s | 3 086× | 1 | valid |
| 399.0ms | 819× | 0 | invalid |
| 139.0ms | 336× | 2 | valid |
| 104.0ms | 96× | 1 | invalid |
| 23.0ms | 3× | 5 | exit |
Compiled 9 843 to 1 473 computations (85% saved)
ival-sqrt: 6.6s (59.3% of total)ival-mult: 1.3s (11.7% of total)ival-div: 602.0ms (5.4% of total)ival-cos: 587.0ms (5.2% of total)ival-tan: 448.0ms (4% of total)ival-sin: 355.0ms (3.2% of total)ival-add: 311.0ms (2.8% of total)adjust: 294.0ms (2.6% of total)ival-sub: 164.0ms (1.5% of total)const: 161.0ms (1.4% of total)ival-pow2: 90.0ms (0.8% of total)ival-neg: 70.0ms (0.6% of total)ival-pow: 38.0ms (0.3% of total)ival-log: 35.0ms (0.3% of total)ival-exp: 29.0ms (0.3% of total)ival-hypot: 24.0ms (0.2% of total)exact: 13.0ms (0.1% of total)ival-true: 11.0ms (0.1% of total)ival-assert: 6.0ms (0.1% of total)| 385 040× | lower-fma.f32 |
| 384 964× | lower-fma.f64 |
| 235 768× | lower-*.f32 |
| 235 410× | lower-*.f64 |
| 123 210× | lower-+.f32 |
| 100× | iter limit |
| 51× | node limit |
| 10× | fuel |
| 5× | done |
| 4× | unsound |
| 3× | saturated |
Compiled 6 518 to 2 984 computations (54.2% saved)
| 207 416× | lower-fma.f32 |
| 207 244× | lower-fma.f64 |
| 198 320× | lower-*.f32 |
| 197 694× | lower-*.f64 |
| 139 188× | lower-/.f32 |
| 120× | iter limit |
| 50× | node limit |
| 4× | unsound |
| 3× | saturated |
Compiled 1 294 278 to 101 687 computations (92.1% saved)
Compiled 57 302 to 27 867 computations (51.4% saved)
45 calls:
| 773.0ms | a |
| 611.0ms | b |
| 609.0ms | r |
| 513.0ms | x |
| 342.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 2 526 to 1 730 computations (31.5% saved)
| 20× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 73.7% | 26.3% | 0% | 0% | 0% | 0 |
| 28.8% | 21.3% | 52.5% | 26.3% | 0% | 0% | 0% | 1 |
| 44.1% | 32.5% | 41.2% | 26.3% | 0% | 0% | 0% | 2 |
| 52.6% | 38.7% | 35% | 26.3% | 0% | 0% | 0% | 3 |
| 61.9% | 45.6% | 28.1% | 26.3% | 0% | 0% | 0% | 4 |
| 65.2% | 47.5% | 25.3% | 26.3% | 0% | 0.9% | 0% | 5 |
| 66.8% | 48.4% | 24% | 26.3% | 0% | 1.2% | 0% | 6 |
| 71.1% | 51.1% | 20.8% | 26.3% | 0% | 1.9% | 0% | 7 |
| 72.1% | 51.6% | 20% | 26.3% | 0% | 2.1% | 0% | 8 |
| 74.4% | 53% | 18.2% | 26.3% | 0% | 2.5% | 0% | 9 |
| 75.8% | 53.9% | 17.2% | 26.3% | 0% | 2.6% | 0% | 10 |
| 76.6% | 54.3% | 16.6% | 26.3% | 0% | 2.8% | 0% | 11 |
| 77.3% | 54.8% | 16.1% | 26.3% | 0% | 2.9% | 0% | 12 |
Compiled 279 to 216 computations (22.6% saved)
2220 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 97.0ms | a | @ | inf | (* (log (/ (cos (+ b a)) r)) -1) |
| 86.0ms | b | @ | -inf | (* (log (/ (cos (+ b a)) r)) -1) |
| 82.0ms | b | @ | inf | (* (log (/ (cos (+ b a)) r)) -1) |
| 75.0ms | x | @ | -inf | (* (pow x 7/8) (sqrt (* (sqrt (sqrt x)) 2))) |
| 73.0ms | x | @ | -inf | (sqrt (* x (sqrt (* x (sqrt x))))) |
| 15× | egg-herbie |
| 25 402× | lower-fma.f32 |
| 25 402× | lower-fma.f64 |
| 5 540× | lower-+.f32 |
| 5 522× | lower-+.f64 |
| 4 674× | associate-+r+ |
| 29× | saturated |
| 28× | iter limit |
| 3× | node limit |
Compiled 8 207 to 3 195 computations (61.1% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | #f | sensitivity | 517 | 0 |
-.f64 | #f | cancellation | 511 | 0 |
sqrt.f64 | #f | oflow-rescue | 482 | 0 |
sqrt.f64 | #f | uflow-rescue | 304 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 186 | 0 |
+.f64 | #f | nan-rescue | 165 | 0 |
/.f64 | #f | n/o | 156 | 0 |
*.f64 | #f | n*o | 65 | 0 |
*.f64 | #f | n*u | 44 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 42 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 58 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 68 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 49 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 44 | |
/.f64 | (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) | n/u | 17 | 0 |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 68 | |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | underflow | 68 | |
| ↳ | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | underflow | 80 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 49 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 44 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1560 | 246 |
| - | 631 | 1403 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1560 | 0 | 246 |
| - | 631 | 0 | 1403 |
| number | freq |
|---|---|
| 0 | 1649 |
| 1 | 1957 |
| 2 | 195 |
| 3 | 22 |
| 4 | 9 |
| 5 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 14 | 0 | 0 |
| - | 0 | 0 | 1 |
| 359.0ms | 5 610× | 0 | valid |
| 321.0ms | 1 878× | 1 | valid |
| 32.0ms | 192× | 2 | valid |
Compiled 1 253 to 497 computations (60.3% saved)
ival-tan: 70.0ms (15.3% of total)ival-mult: 65.0ms (14.2% of total)ival-sub: 57.0ms (12.4% of total)ival-add: 46.0ms (10% of total)ival-cos: 43.0ms (9.4% of total)ival-sqrt: 43.0ms (9.4% of total)adjust: 38.0ms (8.3% of total)ival-sin: 34.0ms (7.4% of total)ival-pow2: 26.0ms (5.7% of total)ival-div: 15.0ms (3.3% of total)ival-hypot: 9.0ms (2% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.7% of total)exact: 2.0ms (0.4% of total)| 36× | binary-search |
| 7× | left-value |
| 36× | narrow-enough |
| 263.0ms | 971× | 1 | valid |
| 140.0ms | 1 493× | 0 | valid |
Compiled 10 037 to 6 548 computations (34.8% saved)
ival-tan: 68.0ms (25.4% of total)ival-cos: 41.0ms (15.3% of total)ival-sub: 38.0ms (14.2% of total)ival-add: 35.0ms (13.1% of total)ival-mult: 22.0ms (8.2% of total)adjust: 19.0ms (7.1% of total)ival-sin: 14.0ms (5.2% of total)ival-div: 12.0ms (4.5% of total)ival-pow2: 12.0ms (4.5% of total)ival-sqrt: 3.0ms (1.1% of total)ival-true: 2.0ms (0.7% of total)ival-assert: 1.0ms (0.4% of total)exact: 0.0ms (0% of total)Loading profile data...