Herbie run
| Date: | Thursday, August 1st, 2024 |
|---|---|
| Commit: | 9d1b2398 on HEAD |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024214 |
| 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: 7.5min)
| 286× | egg-herbie |
| 2 481 820× | lower-fma.f32 |
| 2 481 118× | lower-fma.f64 |
| 1 266 580× | lower-*.f32 |
| 1 264 130× | lower-*.f64 |
| 666 506× | lower-+.f32 |
| 381× | iter limit |
| 224× | node limit |
| 62× | saturated |
| 30.4s | 221 550× | 0 | valid |
| 10.0s | 26 566× | 1 | valid |
| 9.7s | 65 029× | 0 | invalid |
| 3.5s | 12 313× | 1 | invalid |
| 3.0s | 9 843× | 2 | valid |
| 2.3s | 6 231× | 3 | valid |
| 504.0ms | 1 830× | 1 | exit |
| 241.0ms | 544× | 2 | invalid |
| 31.0ms | 251× | 0 | exit |
| 1.0ms | 3× | 4 | exit |
| 1.0ms | 2× | 4 | valid |
| 1.0ms | 1× | 5 | exit |
ival-mult: 11.7s (25.8% of total)ival-div: 6.7s (14.8% of total)ival-tan: 3.8s (8.4% of total)ival-sub: 3.1s (6.7% of total)ival-sqrt: 2.7s (6% of total)ival-pow2: 2.4s (5.4% of total)ival-add: 2.4s (5.3% of total)ival-pow: 2.1s (4.6% of total)adjust: 2.1s (4.6% of total)ival-exp: 1.9s (4.2% of total)ival-sin: 1.7s (3.7% of total)ival-cos: 817.0ms (1.8% of total)ival-acos: 616.0ms (1.4% of total)ival-pi: 534.0ms (1.2% of total)const: 514.0ms (1.1% of total)ival-neg: 480.0ms (1.1% of total)ival-hypot: 351.0ms (0.8% of total)ival-log: 323.0ms (0.7% of total)exact: 308.0ms (0.7% of total)ival-true: 240.0ms (0.5% of total)ival-asin: 184.0ms (0.4% of total)ival-assert: 128.0ms (0.3% of total)ival-atan: 105.0ms (0.2% of total)ival-fabs: 83.0ms (0.2% of total)ival-<: 39.0ms (0.1% of total)ival-and: 11.0ms (0% of total)| 127× | batch-egg-rewrite |
| 581 326× | lower-*.f32 |
| 579 108× | lower-fma.f32 |
| 578 902× | lower-*.f64 |
| 578 408× | lower-fma.f64 |
| 467 354× | lower-/.f32 |
| 262× | iter limit |
| 127× | node limit |
| 1 555 582× | lower-fma.f32 |
| 1 555 120× | lower-fma.f64 |
| 1 056 096× | lower-*.f32 |
| 1 054 120× | lower-*.f64 |
| 517 838× | lower-/.f32 |
| 294× | iter limit |
| 192× | node limit |
| 31× | fuel |
| 1× | done |
Compiled 44 754 to 19 975 computations (55.4% saved)
Compiled 6 834 832 to 484 765 computations (92.9% saved)
Compiled 194 630 to 97 243 computations (50% saved)
156 calls:
| 1.4s | l |
| 1.1s | t |
| 939.0ms | k |
| 874.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 743.0ms | x |
Compiled 22 459 to 15 246 computations (32.1% saved)
| 7.4s | 23 017× | 0 | valid |
| 2.9s | 3 441× | 1 | valid |
| 2.6s | 1 963× | 2 | valid |
| 1.3s | 3 260× | 0 | invalid |
| 450.0ms | 343× | 3 | valid |
| 422.0ms | 117× | 3 | exit |
| 275.0ms | 34× | 5 | exit |
| 56.0ms | 133× | 0 | exit |
| 52.0ms | 127× | 1 | exit |
| 48.0ms | 76× | 1 | invalid |
| 10.0ms | 1× | 4 | valid |
Compiled 41 849 to 4 786 computations (88.6% saved)
ival-mult: 3.2s (28% of total)ival-div: 1.7s (14.8% of total)ival-add: 1.0s (9% of total)ival-tan: 764.0ms (6.8% of total)adjust: 731.0ms (6.5% of total)ival-sqrt: 670.0ms (6% of total)ival-cos: 616.0ms (5.5% of total)ival-sin: 573.0ms (5.1% of total)ival-sub: 335.0ms (3% of total)ival-log: 270.0ms (2.4% of total)ival-pow: 260.0ms (2.3% of total)const: 200.0ms (1.8% of total)ival-asin: 180.0ms (1.6% of total)ival-neg: 171.0ms (1.5% of total)ival-pow2: 127.0ms (1.1% of total)ival-exp: 107.0ms (1% of total)ival-acos: 96.0ms (0.9% of total)exact: 57.0ms (0.5% of total)ival-pi: 56.0ms (0.5% of total)ival-hypot: 53.0ms (0.5% of total)ival-atan: 47.0ms (0.4% of total)ival-true: 27.0ms (0.2% of total)ival-cosh: 24.0ms (0.2% of total)ival-tanh: 23.0ms (0.2% of total)ival-sinh: 16.0ms (0.1% of total)ival-assert: 13.0ms (0.1% of total)ival-fabs: 11.0ms (0.1% of total)ival-cbrt: 5.0ms (0% of total)| 32× | egg-herbie |
| 229 844× | lower-fma.f64 |
| 229 844× | lower-fma.f32 |
| 79 498× | lower-*.f32 |
| 79 270× | lower-*.f64 |
| 36 848× | lower-/.f32 |
| 64× | iter limit |
| 41× | node limit |
| 23× | saturated |
Compiled 61 776 to 17 690 computations (71.4% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 453 | 0 |
-.f64 | #f | cancellation | 446 | 2 |
cos.f64 | #f | sensitivity | 408 | 1 |
acos.f64 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) | sensitivity | 253 | 1 |
*.f64 | #f | n*o | 252 | 0 |
+.f64 | #f | nan-rescue | 239 | 0 |
sqrt.f64 | #f | uflow-rescue | 175 | 0 |
pow.f64 | #f | oflow-rescue | 136 | 0 |
*.f64 | #f | u*o | 129 | 0 |
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | sensitivity | 124 | 0 |
asin.f64 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | sensitivity | 123 | 0 |
-.f64 | #f | nan-rescue | 114 | 0 |
pow.f64 | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) | sensitivity | 93 | 23 |
/.f64 | #f | o/o | 82 | 0 |
/.f64 | #f | u/u | 72 | 0 |
+.f64 | #f | cancellation | 65 | 0 |
/.f64 | #f | o/n | 58 | 0 |
pow.f64 | #f | uflow-rescue | 52 | 0 |
*.f64 | #f | o*u | 51 | 0 |
cos.f64 | (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) | oflow-rescue | 50 | 0 |
| ↳ | (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) | overflow | 50 | |
| ↳ | (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) | overflow | 50 | |
| ↳ | (*.f64 K (+.f64 m n)) | overflow | 50 | |
*.f64 | #f | n*u | 47 | 0 |
/.f64 | #f | n/o | 41 | 0 |
/.f64 | #f | n/u | 30 | 0 |
log.f64 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) | sensitivity | 16 | 0 |
/.f64 | #f | u/n | 11 | 0 |
exp.f64 | #f | sensitivity | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1926 | 28 |
| - | 1149 | 5089 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1926 | 2 | 26 |
| - | 1149 | 26 | 5063 |
| number | freq |
|---|---|
| 0 | 5117 |
| 1 | 2685 |
| 2 | 341 |
| 3 | 40 |
| 4 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 25 | 1 | 0 |
| - | 0 | 0 | 6 |
| 2.1s | 13 174× | 0 | valid |
| 758.0ms | 2 012× | 1 | valid |
| 480.0ms | 788× | 2 | valid |
| 209.0ms | 396× | 3 | valid |
| 10.0ms | 14× | 5 | exit |
Compiled 8 490 to 2 164 computations (74.5% saved)
ival-mult: 571.0ms (22.1% of total)ival-tan: 362.0ms (14% of total)ival-div: 313.0ms (12.1% of total)ival-add: 260.0ms (10% of total)ival-sub: 217.0ms (8.4% of total)adjust: 114.0ms (4.4% of total)ival-sin: 99.0ms (3.8% of total)ival-pow2: 97.0ms (3.7% of total)ival-sqrt: 95.0ms (3.7% of total)ival-exp: 93.0ms (3.6% of total)ival-cos: 76.0ms (2.9% of total)ival-pow: 68.0ms (2.6% of total)ival-acos: 52.0ms (2% of total)ival-log: 38.0ms (1.5% of total)ival-hypot: 26.0ms (1% of total)ival-neg: 24.0ms (0.9% of total)exact: 17.0ms (0.7% of total)ival-pi: 15.0ms (0.6% of total)ival-true: 15.0ms (0.6% of total)const: 12.0ms (0.5% of total)ival-asin: 9.0ms (0.3% of total)ival-assert: 7.0ms (0.3% of total)ival-atan: 5.0ms (0.2% of total)ival-fabs: 4.0ms (0.2% of total)12477 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 328.0ms | f | @ | inf | (- (/ (log (* 2 (cosh (* (* (PI) 1/4) f)))) (* (PI) -1/4)) (/ (log (* 2 (sinh (* (* (PI) 1/4) f)))) (* (PI) -1/4))) |
| 147.0ms | th | @ | -inf | (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) |
| 134.0ms | f | @ | -inf | (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4)) |
| 81.0ms | f | @ | inf | (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4)) |
| 73.0ms | n | @ | 0 | (* (/ 1 (sqrt k)) (/ 1 (pow (* 4 (* (* (PI) n) (* (PI) n))) (/ (+ 1 k) -4)))) |
| 32× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 98.2% | 1.8% | 0% | 0% | 0% | 0 |
| 22.2% | 21.8% | 76.4% | 1.8% | 0% | 0% | 0% | 1 |
| 22.6% | 21.8% | 74.8% | 1.8% | 0% | 1.6% | 0% | 2 |
| 28.6% | 26.5% | 66.3% | 1.8% | 0% | 5.5% | 0% | 3 |
| 32.6% | 29.6% | 61.2% | 1.8% | 0% | 7.4% | 0% | 4 |
| 35.8% | 32.3% | 58% | 1.8% | 0% | 8% | 0% | 5 |
| 40.1% | 36.1% | 54% | 1.8% | 0% | 8.1% | 0% | 6 |
| 45.5% | 40.6% | 48.7% | 1.8% | 0% | 8.9% | 0% | 7 |
| 47.9% | 42.1% | 45.8% | 1.8% | 0% | 10.3% | 0% | 8 |
| 51% | 44.7% | 42.9% | 1.8% | 0% | 10.6% | 0% | 9 |
| 52.2% | 45.5% | 41.7% | 1.8% | 0% | 11% | 0% | 10 |
| 53.9% | 46.8% | 39.9% | 1.8% | 0% | 11.5% | 0% | 11 |
| 55.7% | 47.9% | 38.2% | 1.8% | 0% | 12.2% | 0% | 12 |
Compiled 798 to 574 computations (28.1% saved)
| 329× | left-value |
| 221× | binary-search |
| 207× | narrow-enough |
| 14× | predicate-same |
| 2.7s | 15 959× | 0 | valid |
| 658.0ms | 3 834× | 0 | invalid |
| 83.0ms | 400× | 1 | valid |
| 38.0ms | 132× | 2 | valid |
| 21.0ms | 99× | 1 | invalid |
| 21.0ms | 69× | 3 | valid |
| 2.0ms | 6× | 2 | invalid |
| 1.0ms | 2× | 5 | exit |
Compiled 71 576 to 50 195 computations (29.9% saved)
ival-mult: 572.0ms (21.9% of total)ival-div: 506.0ms (19.3% of total)ival-pow: 420.0ms (16% of total)ival-add: 213.0ms (8.1% of total)ival-sin: 176.0ms (6.7% of total)ival-sub: 162.0ms (6.2% of total)ival-tan: 154.0ms (5.9% of total)ival-pow2: 147.0ms (5.6% of total)ival-exp: 76.0ms (2.9% of total)ival-neg: 57.0ms (2.2% of total)ival-sqrt: 30.0ms (1.1% of total)adjust: 29.0ms (1.1% of total)ival-cos: 18.0ms (0.7% of total)exact: 18.0ms (0.7% of total)ival-true: 14.0ms (0.5% of total)const: 11.0ms (0.4% of total)ival-assert: 8.0ms (0.3% of total)ival-atan: 5.0ms (0.2% of total)ival-fabs: 3.0ms (0.1% of total)ival-pi: 0.0ms (0% of total)Loading profile data...