Herbie run
| Date: | Saturday, August 31st, 2024 |
|---|---|
| Commit: | ac261103 on main |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024244 |
| 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: 3.2min)
| 16.3s | 110 030× | 0 | valid |
| 14.6s | 43 413× | 1 | valid |
| 9.1s | 6 289× | 5 | exit |
| 4.5s | 11 677× | 2 | valid |
| 1.3s | 10 134× | 1 | exit |
| 413.0ms | 3 921× | 0 | invalid |
| 349.0ms | 1 385× | 0 | exit |
const: 9.3s (24% of total)ival-exp: 4.1s (10.5% of total)ival-pow: 3.7s (9.4% of total)ival-cos: 2.9s (7.6% of total)ival-sub: 2.4s (6.2% of total)ival-mult: 2.3s (5.9% of total)adjust: 2.2s (5.7% of total)ival-tan: 1.9s (4.8% of total)ival-sqrt: 1.6s (4.2% of total)ival-log: 1.2s (3.1% of total)ival-div: 1.1s (2.9% of total)ival-<=: 1.0s (2.7% of total)ival-sin: 825.0ms (2.1% of total)ival-add: 784.0ms (2% of total)ival-fmod: 780.0ms (2% of total)ival-sinh: 685.0ms (1.8% of total)ival-acos: 583.0ms (1.5% of total)ival-pow2: 402.0ms (1% of total)ival-neg: 185.0ms (0.5% of total)ival-hypot: 178.0ms (0.5% of total)ival-and: 108.0ms (0.3% of total)ival-true: 95.0ms (0.2% of total)ival-atan: 90.0ms (0.2% of total)ival-==: 89.0ms (0.2% of total)exact: 79.0ms (0.2% of total)ival-assert: 77.0ms (0.2% of total)ival-<: 61.0ms (0.2% of total)ival-or: 35.0ms (0.1% of total)ival->=: 25.0ms (0.1% of total)ival->: 18.0ms (0% of total)| 716 778× | lower-fma.f32 |
| 716 666× | lower-fma.f64 |
| 356 766× | lower-*.f32 |
| 356 310× | lower-*.f64 |
| 177 058× | lower-+.f32 |
| 144× | iter limit |
| 78× | node limit |
| 14× | fuel |
| 6× | done |
| 5× | unsound |
| 4× | saturated |
Compiled 5 679 to 3 266 computations (42.5% saved)
| 164× | egg-herbie |
| 1 131 748× | lower-fma.f32 |
| 1 131 488× | lower-fma.f64 |
| 401 464× | lower-*.f32 |
| 400 764× | lower-*.f64 |
| 231 988× | lower-+.f32 |
| 213× | iter limit |
| 90× | node limit |
| 77× | saturated |
Compiled 2 073 367 to 178 855 computations (91.4% saved)
| 268 690× | lower-fma.f32 |
| 268 432× | lower-fma.f64 |
| 257 102× | lower-*.f32 |
| 256 434× | lower-*.f64 |
| 207 450× | lower-/.f32 |
| 159× | iter limit |
| 65× | node limit |
| 6× | unsound |
| 3× | saturated |
393 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.4s | x | @ | 0 | ((* (sqrt (* (sqrt x) 2)) (pow x 3/4)) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (sqrt x) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt 2) (* (pow x 1/4) (sqrt (* (sqrt x) (* 2 x)))) (pow x 1/4) (sqrt (* (sqrt x) (* 2 x))) (* (sqrt x) (* 2 x)) (* (pow x 7/8) (sqrt (* (sqrt (sqrt x)) 2))) (pow x 7/8) (sqrt (* (sqrt (sqrt x)) 2)) (* (sqrt (sqrt x)) 2) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (sqrt (sqrt x))) |
| 1.5s | x | @ | inf | ((* (sqrt (* (sqrt x) 2)) (pow x 3/4)) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (sqrt x) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt 2) (* (pow x 1/4) (sqrt (* (sqrt x) (* 2 x)))) (pow x 1/4) (sqrt (* (sqrt x) (* 2 x))) (* (sqrt x) (* 2 x)) (* (pow x 7/8) (sqrt (* (sqrt (sqrt x)) 2))) (pow x 7/8) (sqrt (* (sqrt (sqrt x)) 2)) (* (sqrt (sqrt x)) 2) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (sqrt (sqrt x))) |
| 229.0ms | x | @ | inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4) (* (pow x 7/8) (sqrt (* (pow x 1/4) 2))) (pow x 7/8) (sqrt (* (pow x 1/4) 2)) (* (pow x 1/4) 2) (pow x 1/4)) |
| 180.0ms | x | @ | 0 | ((* x 1) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* 2 x)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* 2 x))) (* (* (pow x 3/8) (sqrt x)) (sqrt (* (sqrt (sqrt x)) 2))) (* (pow x 3/8) (sqrt x)) (pow x 3/8) (* (pow (sqrt x) 7/4) (sqrt (* (sqrt (sqrt x)) 2))) (pow (sqrt x) 7/4) (sqrt (* (sqrt (sqrt x)) 2)) (* (sqrt x) (* 2 x))) |
| 149.0ms | x | @ | inf | ((* x 1) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* 2 x)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* 2 x))) (* (* (pow x 3/8) (sqrt x)) (sqrt (* (sqrt (sqrt x)) 2))) (* (pow x 3/8) (sqrt x)) (pow x 3/8) (* (pow (sqrt x) 7/4) (sqrt (* (sqrt (sqrt x)) 2))) (pow (sqrt x) 7/4) (sqrt (* (sqrt (sqrt x)) 2)) (* (sqrt x) (* 2 x))) |
| 3.9s | 4 958× | 1 | valid |
| 2.8s | 1 847× | 2 | valid |
| 2.4s | 10 703× | 0 | valid |
| 117.0ms | 549× | 0 | invalid |
| 84.0ms | 91× | 1 | invalid |
| 77.0ms | 224× | 1 | exit |
| 22.0ms | 57× | 0 | exit |
| 14.0ms | 3× | 5 | exit |
Compiled 13 150 to 1 896 computations (85.6% saved)
ival-mult: 1.3s (17.7% of total)adjust: 1.2s (16.4% of total)ival-div: 638.0ms (8.6% of total)ival-sin: 594.0ms (8% of total)ival-pow: 580.0ms (7.8% of total)ival-cos: 487.0ms (6.6% of total)ival-add: 485.0ms (6.5% of total)ival-tan: 387.0ms (5.2% of total)ival-sub: 315.0ms (4.2% of total)ival-log: 287.0ms (3.9% of total)ival-sqrt: 257.0ms (3.5% of total)const: 227.0ms (3.1% of total)ival-pow2: 120.0ms (1.6% of total)ival-exp: 117.0ms (1.6% of total)ival-sinh: 69.0ms (0.9% of total)ival-neg: 68.0ms (0.9% of total)ival-fmod: 67.0ms (0.9% of total)ival-acos: 56.0ms (0.8% of total)ival-asin: 38.0ms (0.5% of total)exact: 31.0ms (0.4% of total)ival-hypot: 24.0ms (0.3% of total)ival-true: 15.0ms (0.2% of total)ival-assert: 8.0ms (0.1% of total)ival-pi: 7.0ms (0.1% of total)ival-cbrt: 7.0ms (0.1% of total)ival-atan: 1.0ms (0% of total)53 calls:
| 785.0ms | x |
| 759.0ms | a |
| 613.0ms | b |
| 581.0ms | r |
| 296.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 1 753 to 2 005 computations (-14.4% saved)
Compiled 69 737 to 38 069 computations (45.4% 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)
| 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 6 701 to 2 998 computations (55.3% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 632 | 0 |
cos.f64 | #f | sensitivity | 505 | 0 |
-.f64 | #f | cancellation | 353 | 1 |
sqrt.f64 | #f | uflow-rescue | 335 | 0 |
/.f64 | #f | n/o | 256 | 0 |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 256 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 244 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 195 | 0 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 129 | 22 |
*.f64 | #f | n*u | 39 | 0 |
*.f64 | #f | n*o | 34 | 0 |
*.f64 | #f | u*o | 26 | 0 |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 19 | 0 |
| ↳ | (*.f64 a a) | overflow | 127 | |
| ↳ | (*.f64 b b) | overflow | 19 | |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 15 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 61 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 60 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 56 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 61 | |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 8 | 0 |
| ↳ | (sinh.f64 x) | overflow | 8 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 8 | |
/.f64 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) | o/o | 1 | 0 |
| ↳ | (-.f64 x lo) | overflow | 1 | |
| ↳ | (-.f64 hi lo) | overflow | 256 | |
exp.f64 | (exp.f64 (neg.f64 w)) | sensitivity | 1 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2266 | 271 |
| - | 697 | 1886 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2266 | 1 | 270 |
| - | 697 | 24 | 1862 |
| number | freq |
|---|---|
| 0 | 2157 |
| 1 | 2882 |
| 2 | 77 |
| 3 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 0 | 1 |
| - | 0 | 0 | 2 |
| 525.0ms | 6 758× | 0 | valid |
| 439.0ms | 2 682× | 1 | valid |
| 225.0ms | 688× | 2 | valid |
| 15.0ms | 112× | 1 | exit |
Compiled 1 067 to 440 computations (58.8% saved)
ival-mult: 117.0ms (13.8% of total)ival-exp: 89.0ms (10.5% of total)ival-cos: 82.0ms (9.7% of total)ival-tan: 75.0ms (8.9% of total)adjust: 74.0ms (8.8% of total)ival-log: 70.0ms (8.3% of total)ival-sqrt: 51.0ms (6% of total)ival-sub: 38.0ms (4.5% of total)ival-add: 38.0ms (4.5% of total)ival-sin: 38.0ms (4.5% of total)ival-sinh: 33.0ms (3.9% of total)ival-div: 30.0ms (3.5% of total)ival-fmod: 26.0ms (3.1% of total)ival-acos: 22.0ms (2.6% of total)ival-pow2: 21.0ms (2.5% of total)ival-pow: 8.0ms (0.9% of total)ival-hypot: 8.0ms (0.9% of total)ival-true: 8.0ms (0.9% of total)ival-neg: 5.0ms (0.6% of total)ival-assert: 4.0ms (0.5% of total)ival-atan: 3.0ms (0.4% of total)exact: 2.0ms (0.2% of total)| 47× | binary-search |
| 13× | left-value |
| 45× | narrow-enough |
| 2× | predicate-same |
| 200.0ms | 2 480× | 0 | valid |
| 188.0ms | 704× | 1 | valid |
| 3.0ms | 44× | 0 | exit |
Compiled 7 772 to 7 889 computations (-1.5% saved)
ival-cos: 59.0ms (19.4% of total)ival-sin: 55.0ms (18.1% of total)adjust: 34.0ms (11.2% of total)ival-tan: 30.0ms (9.9% of total)ival-div: 29.0ms (9.5% of total)ival-exp: 21.0ms (6.9% of total)ival-mult: 21.0ms (6.9% of total)ival-pow: 19.0ms (6.2% of total)ival-add: 13.0ms (4.3% of total)ival-pow2: 8.0ms (2.6% of total)ival-sqrt: 6.0ms (2% of total)ival-neg: 5.0ms (1.6% of total)ival-true: 2.0ms (0.7% of total)ival-assert: 1.0ms (0.3% of total)ival-sub: 1.0ms (0.3% of total)exact: 0.0ms (0% of total)Loading profile data...