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: 4.7min)
| 30.4s | 41 717× | 2 | valid |
| 23.6s | 146 708× | 0 | invalid |
| 21.5s | 91 671× | 1 | valid |
| 9.1s | 94 775× | 0 | valid |
| 8.9s | 4 846× | 5 | exit |
| 2.0s | 2 999× | 3 | valid |
| 645.0ms | 2 341× | 1 | exit |
| 325.0ms | 4 180× | 0 | exit |
| 28.0ms | 7× | 4 | exit |
| 15.0ms | 8× | 3 | exit |
| 7.0ms | 6× | 4 | valid |
| 3.0ms | 4× | 2 | exit |
ival-tan: 13.1s (16.4% of total)ival-pow: 8.8s (11% of total)ival-mult: 6.2s (7.8% of total)adjust: 5.9s (7.4% of total)const: 5.3s (6.6% of total)ival-div: 5.0s (6.3% of total)ival-cos: 4.7s (5.8% of total)ival-sin: 4.5s (5.6% of total)ival-sub: 4.0s (5% of total)ival-log: 3.6s (4.5% of total)ival-add: 3.4s (4.3% of total)ival-fabs: 2.6s (3.3% of total)ival-exp: 2.4s (3% of total)ival-<=: 2.0s (2.5% of total)ival-expm1: 1.7s (2.2% of total)ival-sqrt: 1.3s (1.6% of total)ival-log1p: 1.1s (1.3% of total)ival-<: 862.0ms (1.1% of total)ival-fmin: 679.0ms (0.8% of total)ival-and: 588.0ms (0.7% of total)ival-atan: 577.0ms (0.7% of total)ival-cbrt: 441.0ms (0.6% of total)exact: 353.0ms (0.4% of total)ival-neg: 296.0ms (0.4% of total)ival->: 267.0ms (0.3% of total)ival-assert: 152.0ms (0.2% of total)ival-true: 65.0ms (0.1% of total)| 185× | egg-herbie |
| 1 690 516× | lower-fma.f32 |
| 1 690 048× | lower-fma.f64 |
| 526 788× | lower-*.f32 |
| 526 092× | lower-*.f64 |
| 358 460× | lower-+.f32 |
| 244× | iter limit |
| 126× | node limit |
| 61× | saturated |
| 362 234× | lower-fma.f32 |
| 361 766× | lower-fma.f64 |
| 323 096× | lower-*.f32 |
| 322 406× | lower-*.f64 |
| 307 846× | lower-/.f32 |
| 166× | iter limit |
| 82× | node limit |
| 897 054× | lower-fma.f32 |
| 896 764× | lower-fma.f64 |
| 418 484× | lower-*.f32 |
| 418 112× | lower-*.f64 |
| 243 992× | lower-+.f32 |
| 149× | iter limit |
| 99× | node limit |
| 16× | fuel |
| 5× | done |
| 2× | saturated |
Compiled 7 242 to 3 342 computations (53.9% saved)
| 6.1s | 9 302× | 1 | valid |
| 4.5s | 3 791× | 2 | valid |
| 1.8s | 7 573× | 0 | valid |
| 634.0ms | 274× | 3 | valid |
| 177.0ms | 52× | 5 | exit |
Compiled 18 496 to 2 484 computations (86.6% saved)
ival-tan: 1.7s (16.2% of total)ival-mult: 1.6s (14.6% of total)adjust: 1.4s (12.8% of total)ival-div: 1.1s (10.1% of total)ival-add: 997.0ms (9.2% of total)ival-cos: 842.0ms (7.8% of total)const: 574.0ms (5.3% of total)ival-log: 548.0ms (5.1% of total)ival-sin: 524.0ms (4.9% of total)ival-sub: 443.0ms (4.1% of total)ival-pow: 237.0ms (2.2% of total)ival-cbrt: 154.0ms (1.4% of total)ival-log1p: 117.0ms (1.1% of total)ival-exp: 113.0ms (1% of total)ival-sqrt: 110.0ms (1% of total)ival-pow2: 98.0ms (0.9% of total)ival-expm1: 92.0ms (0.9% of total)ival-neg: 62.0ms (0.6% of total)exact: 30.0ms (0.3% of total)ival-copysign: 21.0ms (0.2% of total)ival-true: 18.0ms (0.2% of total)ival-assert: 9.0ms (0.1% of total)ival-fabs: 6.0ms (0.1% of total)Compiled 2 196 758 to 173 428 computations (92.1% saved)
Compiled 48 619 to 22 591 computations (53.5% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 4828 | 39 |
+.f64 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | cancellation | 256 | 0 |
/.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 | 3 | 0 |
| ↳ | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | overflow | 3 | |
| ↳ | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | overflow | 3 | |
| ↳ | (exp.f64 x) | overflow | 3 | |
| ↳ | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | overflow | 3 | |
tan.f64 | (tan.f64 (+.f64 x eps)) | sensitivity | 2 | 0 |
cos.f64 | (cos.f64 (+.f64 x eps)) | sensitivity | 1 | 0 |
sin.f64 | (sin.f64 (+.f64 x eps)) | sensitivity | 1 | 0 |
exp.f64 | (exp.f64 (*.f64 a x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3683 | 512 |
| - | 485 | 696 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3683 | 6 | 506 |
| - | 485 | 32 | 664 |
| number | freq |
|---|---|
| 0 | 1208 |
| 1 | 3500 |
| 2 | 412 |
| 3 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 19 | 0 | 2 |
| - | 0 | 0 | 0 |
| 1.7s | 1 768× | 2 | valid |
| 916.0ms | 4 653× | 1 | valid |
| 298.0ms | 4 218× | 0 | valid |
| 64.0ms | 114× | 3 | valid |
Compiled 2 105 to 882 computations (58.1% saved)
ival-tan: 842.0ms (34.6% of total)ival-sin: 389.0ms (16% of total)ival-log: 209.0ms (8.6% of total)ival-cos: 206.0ms (8.5% of total)adjust: 196.0ms (8% of total)ival-div: 118.0ms (4.8% of total)ival-sub: 112.0ms (4.6% of total)ival-add: 105.0ms (4.3% of total)ival-log1p: 59.0ms (2.4% of total)ival-sqrt: 55.0ms (2.3% of total)ival-mult: 51.0ms (2.1% of total)ival-exp: 32.0ms (1.3% of total)ival-expm1: 24.0ms (1% of total)ival-cbrt: 19.0ms (0.8% of total)ival-true: 9.0ms (0.4% of total)exact: 6.0ms (0.2% of total)ival-assert: 4.0ms (0.2% of total)ival-pow: 0.0ms (0% of total)| 21× | egg-herbie |
| 24 002× | lower-fma.f32 |
| 24 002× | lower-fma.f64 |
| 6 978× | lower-*.f32 |
| 6 958× | lower-*.f64 |
| 6 592× | sub-neg |
| 42× | iter limit |
| 38× | saturated |
| 4× | node limit |
Compiled 7 839 to 2 744 computations (65% saved)
33 calls:
| 1.1s | x |
| 394.0ms | eps |
| 169.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 142.0ms | N |
| 125.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 2 308 to 1 507 computations (34.7% saved)
2349 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 149.0ms | eps | @ | -inf | (- (tan (+ x eps)) (tan x)) |
| 74.0ms | x | @ | 0 | (- (cbrt (+ x 1)) (* (pow x 2/9) (pow x 1/9))) |
| 50.0ms | x | @ | inf | (- (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) (neg x)) |
| 49.0ms | n | @ | 0 | (* n (log n)) |
| 35.0ms | a | @ | 0 | (/ (+ b a) (* b a)) |
| 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)
| 30× | binary-search |
| 28× | left-value |
| 30× | narrow-enough |
| 101.0ms | 1 360× | 0 | valid |
| 14.0ms | 160× | 1 | valid |
Compiled 5 547 to 3 723 computations (32.9% saved)
ival-cos: 17.0ms (24.6% of total)ival-div: 10.0ms (14.5% of total)ival-mult: 10.0ms (14.5% of total)ival-sub: 6.0ms (8.7% of total)ival-sin: 6.0ms (8.7% of total)ival-expm1: 5.0ms (7.2% of total)ival-add: 4.0ms (5.8% of total)ival-cbrt: 3.0ms (4.3% of total)adjust: 2.0ms (2.9% of total)ival-exp: 2.0ms (2.9% of total)ival-assert: 1.0ms (1.4% of total)ival-true: 1.0ms (1.4% of total)ival-log: 1.0ms (1.4% of total)ival-log1p: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)Loading profile data...