Herbie run
| Date: | Thursday, August 22nd, 2024 |
|---|---|
| Commit: | efa1c98c on faster-localize |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024235 |
| 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: 3.3min)
| 20.2s | 43 469× | 1 | valid |
| 11.2s | 109 907× | 0 | valid |
| 9.6s | 6 468× | 5 | exit |
| 4.0s | 11 744× | 2 | valid |
| 1.2s | 10 266× | 1 | exit |
| 446.0ms | 3 918× | 0 | invalid |
| 105.0ms | 1 322× | 0 | exit |
ival-exp: 4.1s (13.1% of total)const: 4.1s (13% of total)ival-pow: 3.8s (12.3% of total)ival-mult: 2.8s (8.9% of total)ival-cos: 2.4s (7.8% of total)adjust: 2.1s (6.7% of total)ival-<=: 1.5s (4.7% of total)ival-tan: 1.4s (4.6% of total)ival-log: 1.2s (3.8% of total)ival-sqrt: 1.1s (3.5% of total)ival-add: 931.0ms (3% of total)ival-sub: 900.0ms (2.9% of total)ival-sin: 770.0ms (2.5% of total)ival-fmod: 752.0ms (2.4% of total)ival-sinh: 675.0ms (2.2% of total)ival-div: 634.0ms (2% of total)ival-pow2: 518.0ms (1.7% of total)ival-acos: 489.0ms (1.6% of total)ival-neg: 235.0ms (0.8% of total)ival-hypot: 167.0ms (0.5% of total)ival-and: 109.0ms (0.3% of total)ival-==: 109.0ms (0.3% of total)ival-true: 96.0ms (0.3% of total)exact: 72.0ms (0.2% of total)ival-assert: 70.0ms (0.2% of total)ival-atan: 65.0ms (0.2% of total)ival-<: 64.0ms (0.2% of total)ival->=: 45.0ms (0.1% of total)ival-or: 36.0ms (0.1% of total)ival->: 18.0ms (0.1% of total)| 164× | egg-herbie |
| 976 898× | lower-fma.f32 |
| 976 586× | lower-fma.f64 |
| 405 506× | lower-*.f32 |
| 404 708× | lower-*.f64 |
| 218 364× | lower-+.f32 |
| 213× | iter limit |
| 84× | node limit |
| 83× | saturated |
| 638 454× | lower-fma.f32 |
| 638 284× | lower-fma.f64 |
| 319 476× | lower-*.f32 |
| 319 056× | lower-*.f64 |
| 168 800× | lower-+.f32 |
| 132× | iter limit |
| 71× | node limit |
| 16× | fuel |
| 5× | unsound |
| 4× | saturated |
| 4× | done |
Compiled 8 285 to 3 694 computations (55.4% saved)
Compiled 2 047 279 to 147 555 computations (92.8% saved)
Compiled 81 361 to 37 116 computations (54.4% saved)
| 293 120× | lower-fma.f32 |
| 292 810× | lower-fma.f64 |
| 259 204× | lower-*.f32 |
| 258 440× | lower-*.f64 |
| 201 604× | lower-/.f32 |
| 161× | iter limit |
| 63× | node limit |
| 8× | unsound |
| 3× | saturated |
| 5.5s | 5 151× | 1 | valid |
| 2.9s | 11 234× | 0 | valid |
| 2.2s | 1 270× | 2 | valid |
| 125.0ms | 378× | 0 | invalid |
| 61.0ms | 192× | 1 | exit |
| 59.0ms | 85× | 1 | invalid |
| 50.0ms | 122× | 0 | exit |
Compiled 13 602 to 1 930 computations (85.8% saved)
ival-mult: 2.0s (23.8% of total)adjust: 1.0s (12.1% of total)ival-sqrt: 997.0ms (11.6% of total)ival-add: 645.0ms (7.5% of total)const: 539.0ms (6.3% of total)ival-div: 492.0ms (5.7% of total)ival-cos: 474.0ms (5.5% of total)ival-sin: 409.0ms (4.7% of total)ival-pow2: 360.0ms (4.2% of total)ival-tan: 354.0ms (4.1% of total)ival-log: 334.0ms (3.9% of total)ival-sub: 299.0ms (3.5% of total)ival-pow: 122.0ms (1.4% of total)ival-exp: 106.0ms (1.2% of total)ival-neg: 79.0ms (0.9% of total)ival-sinh: 70.0ms (0.8% of total)ival-fmod: 57.0ms (0.7% of total)ival-acos: 46.0ms (0.5% of total)ival-fabs: 38.0ms (0.4% of total)ival-asin: 25.0ms (0.3% of total)ival-hypot: 18.0ms (0.2% of total)exact: 17.0ms (0.2% of total)ival-true: 14.0ms (0.2% of total)ival-cbrt: 13.0ms (0.2% of total)ival-assert: 7.0ms (0.1% of total)ival-pi: 6.0ms (0.1% of total)ival-atan: 1.0ms (0% of total)53 calls:
| 873.0ms | a |
| 842.0ms | x |
| 560.0ms | b |
| 539.0ms | r |
| 517.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x))) |
Compiled 2 923 to 2 003 computations (31.5% saved)
393 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 184.0ms | x | @ | -inf | ((* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (* (sqrt (sqrt x)) (sqrt x)) (sqrt (* (sqrt x) 2))) (* (sqrt (sqrt x)) (sqrt x)) (sqrt (sqrt x)) (sqrt x) (* (* (sqrt (* (sqrt x) 2)) (sqrt (sqrt x))) (sqrt x)) (* (sqrt (* (sqrt x) 2)) (sqrt (sqrt x))) (* (sqrt (* (* (sqrt (* (sqrt x) x)) x) 2)) (sqrt (sqrt (sqrt x)))) (sqrt (* (* (sqrt (* (sqrt x) x)) x) 2)) (* (* (sqrt (* (sqrt x) x)) x) 2) (* (sqrt (* (sqrt x) x)) x) (* (* (* (sqrt (* (sqrt (sqrt x)) 2)) (sqrt (sqrt (sqrt x)))) (sqrt x)) (sqrt (sqrt x))) (* (* (sqrt (* (sqrt (sqrt x)) 2)) (sqrt (sqrt (sqrt x)))) (sqrt x)) (* (sqrt (* (sqrt (sqrt x)) 2)) (sqrt (sqrt (sqrt x)))) (sqrt (* (sqrt (sqrt x)) 2)) (sqrt (* (sqrt x) x)) (* (sqrt x) x)) |
| 154.0ms | x | @ | -inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* (* (sqrt x) 2) x)) (sqrt (sqrt x))) (sqrt (* (* (sqrt x) 2) x)) (* (* (sqrt x) 2) x) (* (sqrt x) 2) (* (sqrt (* (* (sqrt x) 2) (sqrt (sqrt x)))) (sqrt (* (sqrt (sqrt x)) x))) (sqrt (* (* (sqrt x) 2) (sqrt (sqrt x)))) (* (* (sqrt x) 2) (sqrt (sqrt x))) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (sqrt (sqrt x)) (sqrt (* (sqrt (sqrt x)) x)) (* (sqrt (sqrt x)) x)) |
| 145.0ms | x | @ | -inf | ((* (sqrt (* (* (sqrt x) 2) (sqrt (sqrt x)))) (pow x 5/8)) (sqrt (* (* (sqrt x) 2) (sqrt (sqrt x)))) (* (* (sqrt x) 2) (sqrt (sqrt x))) (* (sqrt x) 2) (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) 2))) (sqrt (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (* (* (sqrt (* (sqrt x) 2)) (sqrt x)) (sqrt (sqrt x))) (* (sqrt (* (sqrt x) 2)) (sqrt x)) (sqrt (* (sqrt x) 2)) (* (* (sqrt (* x 2)) (sqrt (sqrt (* (sqrt x) x)))) (sqrt (sqrt (sqrt x)))) (* (sqrt (* x 2)) (sqrt (sqrt (* (sqrt x) x)))) (sqrt (* x 2)) (* x 2) (* (sqrt (* (* (sqrt x) 2) (sqrt (sqrt x)))) (* (sqrt (* (sqrt (sqrt (sqrt x))) x)) (sqrt (sqrt (sqrt (sqrt x)))))) (sqrt (sqrt x)) (sqrt (* (sqrt (sqrt (sqrt x))) x)) (* (sqrt (* (sqrt (sqrt (sqrt x))) x)) (sqrt (sqrt (sqrt (sqrt x)))))) |
| 122.0ms | x | @ | 0 | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* (* (sqrt x) 2) x)) (sqrt (sqrt x))) (sqrt (* (* (sqrt x) 2) x)) (* (* (sqrt x) 2) x) (* (sqrt x) 2) (* (sqrt (* (* (sqrt x) 2) (sqrt (sqrt x)))) (sqrt (* (sqrt (sqrt x)) x))) (sqrt (* (* (sqrt x) 2) (sqrt (sqrt x)))) (* (* (sqrt x) 2) (sqrt (sqrt x))) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (sqrt (sqrt x)) (sqrt (* (sqrt (sqrt x)) x)) (* (sqrt (sqrt x)) x)) |
| 112.0ms | x | @ | 0 | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* (* x 2) (sqrt x))) (sqrt (sqrt x))) (sqrt (* (* x 2) (sqrt x))) (* (* x 2) (sqrt x)) (* (sqrt (* (* x 2) (sqrt (* (sqrt x) x)))) (sqrt (sqrt (sqrt x)))) (sqrt (* (* x 2) (sqrt (* (sqrt x) x)))) (* (* x 2) (sqrt (* (sqrt x) x))) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (sqrt (sqrt x)) (sqrt (* (sqrt x) x)) (* (sqrt x) x)) |
| 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)
| 20× | egg-herbie |
| 26 494× | lower-fma.f32 |
| 26 494× | lower-fma.f64 |
| 5 788× | lower-+.f32 |
| 5 770× | lower-+.f64 |
| 5 074× | unsub-neg |
| 39× | saturated |
| 38× | iter limit |
| 3× | node limit |
Compiled 9 719 to 3 520 computations (63.8% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 574 | 0 |
cos.f64 | #f | sensitivity | 509 | 0 |
-.f64 | #f | cancellation | 339 | 2 |
sqrt.f64 | #f | uflow-rescue | 336 | 0 |
/.f64 | #f | n/o | 258 | 0 |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 254 | 1 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 246 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 179 | 0 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 133 | 14 |
*.f64 | #f | n*o | 43 | 0 |
*.f64 | #f | u*o | 25 | 0 |
*.f64 | #f | n*u | 22 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 17 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 67 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 71 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 61 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 54 | |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 13 | 0 |
| ↳ | (*.f64 a a) | overflow | 108 | |
| ↳ | (*.f64 b b) | overflow | 13 | |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 7 | 0 |
| ↳ | (sinh.f64 x) | overflow | 7 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 7 | |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2189 | 267 |
| - | 702 | 1962 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2189 | 1 | 266 |
| - | 702 | 16 | 1946 |
| number | freq |
|---|---|
| 0 | 2229 |
| 1 | 2828 |
| 2 | 61 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 0 |
| - | 0 | 0 | 2 |
| 697.0ms | 6 748× | 0 | valid |
| 468.0ms | 2 714× | 1 | valid |
| 238.0ms | 682× | 2 | valid |
| 14.0ms | 96× | 1 | exit |
Compiled 1 103 to 440 computations (60.1% saved)
ival-pow2: 195.0ms (19.6% of total)ival-tan: 82.0ms (8.2% of total)ival-div: 76.0ms (7.6% of total)ival-mult: 70.0ms (7% of total)ival-log: 68.0ms (6.8% of total)adjust: 67.0ms (6.7% of total)ival-sub: 64.0ms (6.4% of total)ival-cos: 62.0ms (6.2% of total)ival-sin: 53.0ms (5.3% of total)ival-add: 51.0ms (5.1% of total)ival-sqrt: 47.0ms (4.7% of total)ival-exp: 39.0ms (3.9% of total)ival-sinh: 35.0ms (3.5% of total)ival-fmod: 28.0ms (2.8% of total)ival-acos: 19.0ms (1.9% of total)ival-pow: 8.0ms (0.8% of total)ival-hypot: 8.0ms (0.8% of total)ival-true: 8.0ms (0.8% of total)ival-neg: 5.0ms (0.5% of total)ival-assert: 4.0ms (0.4% of total)ival-atan: 3.0ms (0.3% of total)exact: 2.0ms (0.2% of total)| 43× | binary-search |
| 28× | left-value |
| 39× | narrow-enough |
| 4× | predicate-same |
| 230.0ms | 2 125× | 0 | valid |
| 111.0ms | 803× | 1 | valid |
| 81.0ms | 144× | 2 | valid |
| 1.0ms | 14× | 0 | exit |
Compiled 9 137 to 6 041 computations (33.9% saved)
ival-cos: 64.0ms (23% of total)ival-exp: 63.0ms (22.7% of total)ival-mult: 28.0ms (10.1% of total)ival-sin: 28.0ms (10.1% of total)adjust: 17.0ms (6.1% of total)ival-pow: 13.0ms (4.7% of total)ival-div: 12.0ms (4.3% of total)ival-fmod: 12.0ms (4.3% of total)ival-add: 11.0ms (4% of total)ival-pow2: 11.0ms (4% of total)ival-sqrt: 7.0ms (2.5% of total)ival-acos: 4.0ms (1.4% of total)ival-neg: 4.0ms (1.4% of total)ival-true: 2.0ms (0.7% of total)ival-assert: 1.0ms (0.4% of total)ival-sub: 1.0ms (0.4% of total)exact: 0.0ms (0% of total)Loading profile data...