Herbie run
| Date: | Tuesday, August 6th, 2024 |
|---|---|
| Commit: | 2.2 on release |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024219 |
| 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: 7.3min)
| 288× | egg-herbie |
| 2 442 388× | lower-fma.f32 |
| 2 441 684× | lower-fma.f64 |
| 1 259 218× | lower-*.f32 |
| 1 256 726× | lower-*.f64 |
| 638 424× | lower-+.f32 |
| 383× | iter limit |
| 221× | node limit |
| 68× | saturated |
| 33.1s | 221 571× | 0 | valid |
| 10.0s | 26 606× | 1 | valid |
| 9.3s | 65 880× | 0 | invalid |
| 3.8s | 9 719× | 2 | valid |
| 3.2s | 12 235× | 1 | invalid |
| 2.4s | 6 293× | 3 | valid |
| 389.0ms | 1 840× | 1 | exit |
| 144.0ms | 512× | 2 | invalid |
| 35.0ms | 236× | 0 | exit |
| 1.0ms | 4× | 3 | exit |
| 1.0ms | 4× | 4 | exit |
| 1.0ms | 2× | 5 | exit |
| 1.0ms | 3× | 4 | valid |
ival-mult: 12.1s (24.8% of total)ival-div: 7.9s (16.2% of total)ival-tan: 4.3s (8.7% of total)ival-sub: 3.6s (7.3% of total)ival-add: 2.8s (5.7% of total)ival-exp: 2.4s (4.8% of total)ival-pow2: 2.4s (4.8% of total)ival-sqrt: 2.3s (4.6% of total)ival-pow: 2.2s (4.5% of total)adjust: 2.1s (4.3% of total)ival-sin: 2.0s (4% of total)ival-cos: 834.0ms (1.7% of total)const: 633.0ms (1.3% of total)ival-neg: 623.0ms (1.3% of total)ival-acos: 585.0ms (1.2% of total)ival-hypot: 393.0ms (0.8% of total)ival-pi: 352.0ms (0.7% of total)exact: 329.0ms (0.7% of total)ival-log: 304.0ms (0.6% of total)ival-true: 248.0ms (0.5% of total)ival-asin: 185.0ms (0.4% of total)ival-fabs: 145.0ms (0.3% of total)ival-assert: 132.0ms (0.3% of total)ival-atan: 104.0ms (0.2% of total)ival-<: 44.0ms (0.1% of total)ival-and: 11.0ms (0% of total)| 128× | batch-egg-rewrite |
| 581 496× | lower-*.f32 |
| 579 046× | lower-*.f64 |
| 571 828× | lower-fma.f32 |
| 571 128× | lower-fma.f64 |
| 452 606× | lower-/.f32 |
| 266× | iter limit |
| 127× | node limit |
| 1× | unsound |
| 1 625 276× | lower-fma.f32 |
| 1 624 862× | lower-fma.f64 |
| 1 088 920× | lower-*.f32 |
| 1 086 970× | lower-*.f64 |
| 513 516× | lower-/.f32 |
| 300× | iter limit |
| 195× | node limit |
| 30× | fuel |
| 2× | done |
Compiled 44 005 to 20 643 computations (53.1% saved)
Compiled 6 306 932 to 471 181 computations (92.5% saved)
Compiled 179 010 to 91 340 computations (49% saved)
156 calls:
| 1.8s | l |
| 1.1s | t |
| 1.1s | k |
| 756.0ms | (*.f64 l l) |
| 635.0ms | U |
Compiled 19 556 to 13 530 computations (30.8% saved)
| 7.7s | 24 084× | 0 | valid |
| 2.0s | 2 824× | 1 | valid |
| 1.6s | 1 343× | 2 | valid |
| 1.5s | 3 241× | 0 | invalid |
| 1.2s | 677× | 3 | valid |
| 961.0ms | 114× | 3 | exit |
| 299.0ms | 333× | 1 | exit |
| 63.0ms | 26× | 5 | exit |
| 44.0ms | 106× | 0 | exit |
| 34.0ms | 5× | 4 | exit |
| 16.0ms | 14× | 1 | invalid |
| 7.0ms | 1× | 4 | valid |
Compiled 38 050 to 4 723 computations (87.6% saved)
ival-mult: 3.2s (27.8% of total)ival-div: 1.6s (14% of total)ival-tan: 1.5s (12.8% of total)ival-add: 1.1s (9.3% of total)ival-sqrt: 692.0ms (6.1% of total)adjust: 607.0ms (5.3% of total)ival-cos: 604.0ms (5.3% of total)ival-sub: 364.0ms (3.2% of total)ival-asin: 269.0ms (2.4% of total)const: 236.0ms (2.1% of total)ival-sin: 232.0ms (2% of total)ival-pow2: 190.0ms (1.7% of total)ival-pow: 189.0ms (1.7% of total)ival-neg: 117.0ms (1% of total)ival-exp: 115.0ms (1% of total)ival-acos: 108.0ms (0.9% of total)ival-log: 103.0ms (0.9% of total)ival-hypot: 78.0ms (0.7% of total)exact: 62.0ms (0.5% of total)ival-pi: 39.0ms (0.3% of total)ival-atan: 33.0ms (0.3% of total)ival-true: 29.0ms (0.3% of total)ival-tanh: 14.0ms (0.1% of total)ival-assert: 14.0ms (0.1% of total)ival-fabs: 14.0ms (0.1% of total)ival-sinh: 4.0ms (0% of total)ival-cbrt: 4.0ms (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 52 992 to 15 716 computations (70.3% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 487 | 0 |
-.f64 | #f | cancellation | 459 | 2 |
cos.f64 | #f | sensitivity | 412 | 0 |
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 | 255 | 0 |
*.f64 | #f | n*o | 242 | 0 |
+.f64 | #f | nan-rescue | 236 | 0 |
sqrt.f64 | #f | uflow-rescue | 179 | 0 |
pow.f64 | #f | oflow-rescue | 129 | 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 |
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | sensitivity | 122 | 1 |
-.f64 | #f | nan-rescue | 118 | 0 |
*.f64 | #f | u*o | 115 | 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 | 95 | 36 |
/.f64 | #f | o/o | 73 | 0 |
*.f64 | #f | n*u | 70 | 0 |
pow.f64 | #f | uflow-rescue | 59 | 0 |
/.f64 | #f | o/n | 57 | 0 |
/.f64 | #f | u/u | 55 | 0 |
+.f64 | #f | cancellation | 55 | 0 |
cos.f64 | (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) | oflow-rescue | 48 | 0 |
| ↳ | (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) | overflow | 48 | |
| ↳ | (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) | overflow | 48 | |
| ↳ | (*.f64 K (+.f64 m n)) | overflow | 48 | |
*.f64 | #f | o*u | 48 | 0 |
/.f64 | #f | n/o | 31 | 0 |
/.f64 | #f | n/u | 25 | 0 |
/.f64 | #f | u/n | 20 | 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 | 7 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1926 | 39 |
| - | 1143 | 5084 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1926 | 1 | 38 |
| - | 1143 | 38 | 5046 |
| number | freq |
|---|---|
| 0 | 5123 |
| 1 | 2675 |
| 2 | 344 |
| 3 | 44 |
| 4 | 5 |
| 5 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 25 | 0 | 0 |
| - | 0 | 0 | 7 |
| 2.1s | 13 178× | 0 | valid |
| 726.0ms | 1 998× | 1 | valid |
| 380.0ms | 786× | 2 | valid |
| 235.0ms | 12× | 5 | exit |
| 224.0ms | 410× | 3 | valid |
Compiled 8 490 to 2 164 computations (74.5% saved)
ival-mult: 527.0ms (21.6% of total)ival-tan: 355.0ms (14.6% of total)ival-div: 309.0ms (12.7% of total)ival-add: 165.0ms (6.8% of total)ival-sub: 145.0ms (6% of total)ival-sin: 131.0ms (5.4% of total)ival-sqrt: 125.0ms (5.1% of total)adjust: 120.0ms (4.9% of total)ival-pow2: 106.0ms (4.4% of total)ival-exp: 106.0ms (4.4% of total)ival-cos: 69.0ms (2.8% of total)ival-pow: 68.0ms (2.8% of total)ival-pi: 38.0ms (1.6% of total)ival-neg: 30.0ms (1.2% of total)ival-acos: 29.0ms (1.2% of total)ival-hypot: 27.0ms (1.1% of total)exact: 19.0ms (0.8% of total)ival-true: 16.0ms (0.7% of total)ival-log: 16.0ms (0.7% of total)ival-asin: 9.0ms (0.4% of total)const: 8.0ms (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)| 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)
12462 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 124.0ms | f | @ | 0 | (* (/ 4 (PI)) (log (* (* (PI) 1/4) f))) |
| 104.0ms | f | @ | -inf | (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4)) |
| 69.0ms | l | @ | -inf | (* (* (+ (* (/ l Om) (+ (* (neg (- U U*)) (* n (/ l Om))) (* l -2))) t) (* n 2)) U) |
| 64.0ms | n | @ | -inf | (* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) |
| 62.0ms | a | @ | 0 | (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))) |
| 308× | left-value |
| 209× | binary-search |
| 189× | narrow-enough |
| 20× | predicate-same |
| 2.9s | 15 151× | 0 | valid |
| 664.0ms | 3 716× | 0 | invalid |
| 81.0ms | 326× | 1 | valid |
| 60.0ms | 82× | 3 | valid |
| 55.0ms | 169× | 2 | valid |
| 6.0ms | 35× | 1 | invalid |
| 1.0ms | 4× | 2 | invalid |
Compiled 66 717 to 47 006 computations (29.5% saved)
ival-mult: 638.0ms (22.7% of total)ival-div: 569.0ms (20.2% of total)ival-sub: 351.0ms (12.5% of total)ival-pow: 328.0ms (11.7% of total)ival-sin: 155.0ms (5.5% of total)ival-add: 143.0ms (5.1% of total)ival-tan: 137.0ms (4.9% of total)ival-pow2: 135.0ms (4.8% of total)ival-exp: 105.0ms (3.7% of total)ival-sqrt: 71.0ms (2.5% of total)ival-neg: 47.0ms (1.7% of total)const: 28.0ms (1% of total)adjust: 26.0ms (0.9% of total)ival-cos: 25.0ms (0.9% of total)exact: 17.0ms (0.6% of total)ival-true: 14.0ms (0.5% of total)ival-atan: 9.0ms (0.3% of total)ival-assert: 7.0ms (0.2% of total)ival-fabs: 4.0ms (0.1% of total)ival-pi: 1.0ms (0% of total)Loading profile data...