Herbie run
| Date: | Wednesday, August 21st, 2024 |
|---|---|
| Commit: | db0375d0 on faster-egg |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024234 |
| 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: 5.0min)
| 30.1s | 41 483× | 2 | valid |
| 23.8s | 143 925× | 0 | invalid |
| 18.2s | 92 055× | 1 | valid |
| 9.7s | 4 898× | 5 | exit |
| 9.1s | 94 623× | 0 | valid |
| 2.6s | 3 006× | 3 | valid |
| 423.0ms | 2 268× | 1 | exit |
| 387.0ms | 4 267× | 0 | exit |
| 12.0ms | 7× | 4 | exit |
| 8.0ms | 5× | 3 | exit |
| 2.0ms | 3× | 2 | exit |
| 1.0ms | 1× | 4 | valid |
ival-tan: 12.9s (16.6% of total)ival-pow: 9.6s (12.4% of total)const: 5.6s (7.3% of total)ival-mult: 5.6s (7.2% of total)adjust: 5.6s (7.1% of total)ival-div: 5.1s (6.5% of total)ival-cos: 4.6s (6% of total)ival-sub: 4.1s (5.2% of total)ival-sin: 3.7s (4.8% of total)ival-add: 3.4s (4.4% of total)ival-log: 3.3s (4.2% of total)ival-fabs: 2.4s (3.1% of total)ival-exp: 2.2s (2.8% of total)ival-<=: 2.0s (2.6% of total)ival-expm1: 1.8s (2.3% of total)ival-sqrt: 1.2s (1.6% of total)ival-log1p: 1.1s (1.5% of total)ival-<: 810.0ms (1% of total)ival-and: 587.0ms (0.8% of total)ival-fmin: 376.0ms (0.5% of total)exact: 330.0ms (0.4% of total)ival-cbrt: 330.0ms (0.4% of total)ival-atan: 324.0ms (0.4% of total)ival-neg: 253.0ms (0.3% of total)ival->: 237.0ms (0.3% of total)ival-assert: 149.0ms (0.2% of total)ival-true: 68.0ms (0.1% of total)| 246× | egg-herbie |
| 2 133 450× | lower-fma.f32 |
| 2 132 858× | lower-fma.f64 |
| 780 944× | lower-*.f32 |
| 779 850× | lower-*.f64 |
| 483 034× | lower-+.f32 |
| 324× | iter limit |
| 174× | node limit |
| 75× | saturated |
| 1 157 966× | lower-fma.f32 |
| 1 157 692× | lower-fma.f64 |
| 589 846× | lower-*.f32 |
| 589 314× | lower-*.f64 |
| 320 254× | lower-+.f32 |
| 200× | iter limit |
| 132× | node limit |
| 22× | fuel |
| 6× | done |
| 2× | saturated |
Compiled 11 105 to 5 327 computations (52% saved)
| 479 862× | lower-fma.f32 |
| 479 274× | lower-fma.f64 |
| 428 098× | lower-*.f32 |
| 427 014× | lower-*.f64 |
| 398 898× | lower-/.f32 |
| 221× | iter limit |
| 108× | node limit |
| 3× | saturated |
| 7.0s | 5 173× | 2 | valid |
| 6.7s | 10 546× | 1 | valid |
| 3.6s | 10 897× | 0 | valid |
| 425.0ms | 345× | 3 | valid |
| 387.0ms | 768× | 0 | invalid |
| 112.0ms | 108× | 1 | invalid |
| 61.0ms | 31× | 5 | exit |
| 13.0ms | 36× | 0 | exit |
Compiled 23 731 to 3 454 computations (85.4% saved)
ival-mult: 3.2s (22% of total)ival-tan: 2.0s (13.7% of total)ival-div: 1.8s (12.2% of total)adjust: 1.5s (10.3% of total)ival-add: 1.3s (8.7% of total)ival-sub: 948.0ms (6.5% of total)const: 777.0ms (5.3% of total)ival-log: 535.0ms (3.7% of total)ival-cos: 493.0ms (3.4% of total)ival-sin: 484.0ms (3.3% of total)ival-pow: 371.0ms (2.5% of total)ival-exp: 358.0ms (2.4% of total)ival-sqrt: 243.0ms (1.7% of total)ival-neg: 122.0ms (0.8% of total)ival-log1p: 105.0ms (0.7% of total)ival-cbrt: 77.0ms (0.5% of total)ival-expm1: 74.0ms (0.5% of total)ival-cosh: 65.0ms (0.4% of total)ival-pow2: 56.0ms (0.4% of total)exact: 42.0ms (0.3% of total)ival-atan2: 27.0ms (0.2% of total)ival-true: 23.0ms (0.2% of total)ival-assert: 12.0ms (0.1% of total)ival-atan: 12.0ms (0.1% of total)ival-copysign: 9.0ms (0.1% of total)ival-fabs: 9.0ms (0.1% of total)Compiled 78 557 to 36 957 computations (53% saved)
Compiled 3 027 400 to 242 608 computations (92% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 4093 | 37 |
log.f64 | #f | sensitivity | 759 | 4 |
/.f64 | #f | u/u | 447 | 0 |
sqrt.f64 | #f | oflow-rescue | 444 | 0 |
+.f64 | #f | cancellation | 342 | 1 |
/.f64 | #f | u/n | 121 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 78 | 0 |
/.f64 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) | n/u | 25 | 0 |
| ↳ | (*.f64 b eps) | underflow | 152 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 140 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 152 | |
| ↳ | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) | underflow | 234 | |
| ↳ | (*.f64 a eps) | underflow | 140 | |
sqrt.f64 | #f | uflow-rescue | 18 | 0 |
-.f64 | #f | nan-rescue | 8 | 0 |
exp.f64 | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | sensitivity | 3 | 0 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 2 | 0 |
| ↳ | (*.f64 x x) | overflow | 67 | |
/.f64 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | o/o | 2 | 0 |
| ↳ | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | overflow | 2 | |
| ↳ | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | overflow | 2 | |
| ↳ | (exp.f64 x) | overflow | 2 | |
| ↳ | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | overflow | 2 | |
cos.f64 | (cos.f64 (+.f64 x eps)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5192 | 15 |
| - | 170 | 1791 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5192 | 15 | 0 |
| - | 170 | 25 | 1766 |
| number | freq |
|---|---|
| 0 | 1806 |
| 1 | 4582 |
| 2 | 636 |
| 3 | 87 |
| 4 | 57 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 0 |
| 1.9s | 2 536× | 2 | valid |
| 1.2s | 5 794× | 1 | valid |
| 543.0ms | 5 818× | 0 | valid |
| 147.0ms | 188× | 3 | valid |
Compiled 2 197 to 763 computations (65.3% saved)
ival-tan: 979.0ms (32.2% of total)adjust: 293.0ms (9.6% of total)ival-div: 283.0ms (9.3% of total)ival-cos: 233.0ms (7.7% of total)ival-sin: 213.0ms (7% of total)ival-log: 194.0ms (6.4% of total)ival-exp: 139.0ms (4.6% of total)ival-sub: 134.0ms (4.4% of total)ival-sqrt: 131.0ms (4.3% of total)ival-mult: 100.0ms (3.3% of total)ival-add: 93.0ms (3.1% of total)ival-pow: 86.0ms (2.8% of total)ival-log1p: 57.0ms (1.9% of total)ival-atan: 31.0ms (1% of total)ival-expm1: 23.0ms (0.8% of total)ival-cbrt: 16.0ms (0.5% of total)ival-true: 12.0ms (0.4% of total)ival-neg: 11.0ms (0.4% of total)exact: 8.0ms (0.3% of total)ival-assert: 6.0ms (0.2% of total)3924 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 243.0ms | x | @ | 0 | (- (cbrt (+ x 1)) (pow (* (* x x) x) 1/9)) |
| 235.0ms | a | @ | 0 | (* (* a a) (* x x)) |
| 147.0ms | x | @ | -inf | (pow (* (* x x) x) 1/9) |
| 94.0ms | n | @ | -inf | (* (log (/ n (log (/ (+ 1 x) x)))) -1) |
| 69.0ms | x | @ | -inf | (+ (* (+ (* (+ (* (- (- (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2)) 1/6) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) 1/6) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) -1/2) -1/2))) eps) (/ (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x)) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) |
| 28× | egg-herbie |
| 27 478× | lower-fma.f64 |
| 27 478× | lower-fma.f32 |
| 10 768× | div-sub |
| 10 444× | sub-neg |
| 9 190× | lower-*.f32 |
| 56× | iter limit |
| 50× | saturated |
| 6× | node limit |
Compiled 11 593 to 3 977 computations (65.7% saved)
43 calls:
| 1.1s | x |
| 313.0ms | eps |
| 182.0ms | (exp.f64 x) |
| 147.0ms | (/.f64 #s(literal 1 binary64) n) |
| 144.0ms | a |
Compiled 3 102 to 2 060 computations (33.6% saved)
| 28× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 61.1% | 38.9% | 0% | 0% | 0% | 0 |
| 7.4% | 4.5% | 56.6% | 38.9% | 0% | 0% | 0% | 1 |
| 22.3% | 13.6% | 47.5% | 38.9% | 0% | 0% | 0% | 2 |
| 40.2% | 23.5% | 34.9% | 38.9% | 0% | 2.7% | 0% | 3 |
| 53.4% | 31.1% | 27.2% | 38.9% | 0% | 2.8% | 0% | 4 |
| 63% | 36.3% | 21.3% | 38.9% | 0% | 3.6% | 0% | 5 |
| 65.9% | 37.5% | 19.4% | 38.9% | 0% | 4.2% | 0% | 6 |
| 70.4% | 38.8% | 16.3% | 38.9% | 0% | 6% | 0% | 7 |
| 73.6% | 40.2% | 14.4% | 38.9% | 0% | 6.5% | 0% | 8 |
| 76.3% | 40.9% | 12.7% | 38.9% | 0% | 7.5% | 0% | 9 |
| 78.4% | 41.4% | 11.4% | 38.9% | 0% | 8.3% | 0% | 10 |
| 81.1% | 42.4% | 9.9% | 38.9% | 0% | 8.8% | 0% | 11 |
| 82.3% | 42.7% | 9.2% | 38.9% | 0% | 9.3% | 0% | 12 |
Compiled 483 to 337 computations (30.2% saved)
| 72× | binary-search |
| 49× | left-value |
| 68× | narrow-enough |
| 4× | predicate-same |
| 422.0ms | 4 030× | 0 | valid |
| 105.0ms | 612× | 1 | valid |
| 72.0ms | 222× | 2 | valid |
| 60.0ms | 648× | 0 | invalid |
| 14.0ms | 24× | 0 | exit |
| 0.0ms | 1× | 1 | exit |
Compiled 15 188 to 10 082 computations (33.6% saved)
ival-add: 101.0ms (20.2% of total)ival-pow: 96.0ms (19.2% of total)ival-mult: 70.0ms (14% of total)ival-div: 49.0ms (9.8% of total)ival-cos: 43.0ms (8.6% of total)ival-sub: 37.0ms (7.4% of total)ival-neg: 35.0ms (7% of total)ival-sqrt: 23.0ms (4.6% of total)adjust: 21.0ms (4.2% of total)ival-sin: 6.0ms (1.2% of total)ival-expm1: 5.0ms (1% of total)ival-true: 4.0ms (0.8% of total)ival-cbrt: 3.0ms (0.6% of total)exact: 3.0ms (0.6% of total)ival-exp: 2.0ms (0.4% of total)ival-assert: 2.0ms (0.4% of total)Loading profile data...