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: 14.0min)
| 2.1min | 2 523× | 5 | exit |
| 1.2min | 22 557× | 1 | valid |
| 1.0min | 435 704× | 0 | valid |
| 20.3s | 8 386× | 2 | valid |
| 944.0ms | 8 595× | 0 | exit |
| 294.0ms | 911× | 3 | valid |
| 81.0ms | 493× | 0 | invalid |
ival-sin: 1.8min (42.1% of total)ival-asin: 32.9s (13.1% of total)ival-mult: 28.0s (11.1% of total)const: 24.5s (9.7% of total)ival-div: 20.0s (7.9% of total)ival-sub: 17.0s (6.8% of total)ival-add: 6.7s (2.7% of total)adjust: 3.3s (1.3% of total)ival-exp: 2.6s (1.1% of total)ival-hypot: 2.2s (0.9% of total)ival-log: 2.0s (0.8% of total)ival-cos: 900.0ms (0.4% of total)ival-atan2: 885.0ms (0.4% of total)ival-pi: 795.0ms (0.3% of total)ival-sqrt: 670.0ms (0.3% of total)ival-acosh: 582.0ms (0.2% of total)ival->: 381.0ms (0.2% of total)ival-asinh: 340.0ms (0.1% of total)exact: 324.0ms (0.1% of total)ival-<=: 283.0ms (0.1% of total)ival-true: 269.0ms (0.1% of total)ival-pow: 210.0ms (0.1% of total)ival-assert: 186.0ms (0.1% of total)ival-fabs: 186.0ms (0.1% of total)ival-neg: 167.0ms (0.1% of total)ival-atanh: 139.0ms (0.1% of total)ival->=: 139.0ms (0.1% of total)ival-and: 73.0ms (0% of total)| 1 006 844× | lower-fma.f32 |
| 1 006 578× | lower-fma.f64 |
| 505 538× | lower-*.f32 |
| 504 918× | lower-*.f64 |
| 281 312× | lower-+.f32 |
| 185× | iter limit |
| 116× | node limit |
| 17× | fuel |
| 16× | done |
| 2× | unsound |
| 1× | saturated |
Compiled 19 054 to 7 448 computations (60.9% saved)
| 247× | egg-herbie |
| 1 867 182× | lower-fma.f32 |
| 1 866 736× | lower-fma.f64 |
| 618 660× | lower-*.f32 |
| 617 528× | lower-*.f64 |
| 426 432× | lower-+.f32 |
| 321× | iter limit |
| 143× | node limit |
| 104× | saturated |
| 33× | egg-herbie |
| 205 096× | lower-fma.f32 |
| 205 096× | lower-fma.f64 |
| 42 966× | lower-*.f32 |
| 42 762× | lower-*.f64 |
| 42 700× | lower-+.f32 |
| 66× | iter limit |
| 44× | saturated |
| 22× | node limit |
Compiled 23 679 to 6 021 computations (74.6% saved)
| 544 394× | lower-fma.f32 |
| 543 948× | lower-fma.f64 |
| 419 672× | lower-*.f32 |
| 418 638× | lower-*.f64 |
| 335 416× | lower-/.f32 |
| 228× | iter limit |
| 101× | node limit |
| 3× | saturated |
| 3× | unsound |
Compiled 53 727 to 23 529 computations (56.2% saved)
Compiled 2 820 172 to 169 771 computations (94% saved)
| 6.0s | 25 845× | 0 | valid |
| 738.0ms | 1 105× | 1 | valid |
| 389.0ms | 407× | 2 | valid |
| 15.0ms | 30× | 3 | valid |
| 4.0ms | 5× | 4 | valid |
Compiled 20 587 to 2 803 computations (86.4% saved)
ival-mult: 2.0s (43% of total)ival-add: 865.0ms (18.6% of total)ival-div: 591.0ms (12.7% of total)const: 335.0ms (7.2% of total)ival-exp: 197.0ms (4.2% of total)adjust: 165.0ms (3.5% of total)ival-sub: 165.0ms (3.5% of total)ival-log: 64.0ms (1.4% of total)ival-sin: 47.0ms (1% of total)ival-cos: 46.0ms (1% of total)ival-neg: 41.0ms (0.9% of total)ival-sqrt: 34.0ms (0.7% of total)exact: 28.0ms (0.6% of total)ival-hypot: 26.0ms (0.6% of total)ival-true: 22.0ms (0.5% of total)ival-assert: 11.0ms (0.2% of total)ival-cosh: 8.0ms (0.2% of total)ival-pow: 6.0ms (0.1% of total)ival-pow2: 5.0ms (0.1% of total)72 calls:
| 523.0ms | im |
| 512.0ms | re |
| 457.0ms | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) |
| 383.0ms | beta |
| 272.0ms | (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) |
Compiled 7 374 to 4 349 computations (41% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | #f | nan-rescue | 550 | 0 |
/.f64 | #f | o/n | 375 | 0 |
/.f64 | #f | o/o | 303 | 0 |
sqrt.f64 | #f | oflow-rescue | 279 | 0 |
log.f64 | #f | oflow-rescue | 205 | 0 |
-.f64 | #f | cancellation | 194 | 0 |
+.f64 | #f | oflow-right | 130 | 0 |
+.f64 | #f | oflow-left | 114 | 0 |
/.f64 | #f | u/n | 91 | 0 |
*.f64 | #f | n*o | 73 | 0 |
/.f64 | #f | u/u | 66 | 0 |
log.f64 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) | sensitivity | 57 | 1 |
/.f64 | #f | n/o | 38 | 0 |
sqrt.f64 | #f | uflow-rescue | 24 | 0 |
log.f64 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) | uflow-rescue | 14 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | underflow | 14 | |
| ↳ | (*.f64 re re) | underflow | 56 | |
| ↳ | (*.f64 im im) | underflow | 57 | |
/.f64 | #f | n/u | 10 | 0 |
-.f64 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) | oflow-right | 5 | 0 |
exp.f64 | #f | sensitivity | 2 | 0 |
*.f64 | (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1074 | 556 |
| - | 312 | 6506 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1074 | 0 | 556 |
| - | 312 | 1 | 6505 |
| number | freq |
|---|---|
| 0 | 7062 |
| 1 | 760 |
| 2 | 362 |
| 3 | 188 |
| 4 | 35 |
| 5 | 3 |
| 7 | 7 |
| 9 | 31 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 21 | 0 | 2 |
| - | 3 | 0 | 7 |
| 1.8s | 16 493× | 0 | valid |
| 91.0ms | 505× | 1 | valid |
| 68.0ms | 212× | 2 | valid |
| 2.0ms | 10× | 3 | valid |
| 0.0ms | 1× | 5 | exit |
Compiled 8 808 to 2 013 computations (77.1% saved)
ival-mult: 457.0ms (42.2% of total)ival-add: 143.0ms (13.2% of total)ival-sin: 109.0ms (10.1% of total)ival-exp: 69.0ms (6.4% of total)const: 66.0ms (6.1% of total)ival-div: 56.0ms (5.2% of total)ival-sub: 55.0ms (5.1% of total)ival-log: 30.0ms (2.8% of total)adjust: 22.0ms (2% of total)ival-cos: 22.0ms (2% of total)ival-hypot: 21.0ms (1.9% of total)ival-true: 15.0ms (1.4% of total)ival-assert: 7.0ms (0.6% of total)exact: 7.0ms (0.6% of total)ival-sqrt: 6.0ms (0.6% of total)3648 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 173.0ms | i | @ | 0 | (/ (* i (+ alpha i)) (* beta beta)) |
| 74.0ms | x | @ | -inf | (- (log x) (log (log x))) |
| 62.0ms | x | @ | -inf | (log (/ x (log x))) |
| 62.0ms | d1 | @ | 0 | (sqrt (sqrt d1)) |
| 59.0ms | d4 | @ | -inf | (- (- d4 d3) d1) |
| 58× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 86.3% | 13.7% | 0% | 0% | 0% | 0 |
| 55.4% | 47.8% | 38.5% | 13.7% | 0% | 0% | 0% | 1 |
| 65.9% | 55.7% | 28.9% | 13.7% | 0% | 1.7% | 0% | 2 |
| 71.2% | 58.4% | 23.6% | 13.7% | 0% | 4.3% | 0% | 3 |
| 77.4% | 62% | 18.1% | 13.7% | 0% | 6.2% | 0% | 4 |
| 83.5% | 66.8% | 13.2% | 13.7% | 0% | 6.3% | 0% | 5 |
| 85.8% | 68.3% | 11.3% | 13.7% | 0% | 6.6% | 0% | 6 |
| 88.3% | 70.3% | 9.4% | 13.7% | 0% | 6.6% | 0% | 7 |
| 89.9% | 71.5% | 8% | 13.7% | 0% | 6.8% | 0% | 8 |
| 91.1% | 72.5% | 7.1% | 13.7% | 0% | 6.8% | 0% | 9 |
| 92.6% | 73.6% | 5.9% | 13.7% | 0% | 6.8% | 0% | 10 |
| 94% | 74.7% | 4.8% | 13.7% | 0% | 6.8% | 0% | 11 |
| 94.5% | 75.1% | 4.4% | 13.7% | 0% | 6.9% | 0% | 12 |
Compiled 1 498 to 821 computations (45.2% saved)
| 169× | left-value |
| 140× | binary-search |
| 135× | narrow-enough |
| 5× | predicate-same |
| 942.0ms | 11 190× | 0 | valid |
| 5.0ms | 42× | 1 | valid |
| 3.0ms | 16× | 2 | valid |
Compiled 36 796 to 21 692 computations (41% saved)
ival-mult: 323.0ms (49.9% of total)ival-add: 110.0ms (17% of total)ival-sub: 75.0ms (11.6% of total)ival-div: 62.0ms (9.6% of total)const: 39.0ms (6% of total)ival-exp: 10.0ms (1.5% of total)ival-true: 8.0ms (1.2% of total)ival-sin: 7.0ms (1.1% of total)ival-cos: 6.0ms (0.9% of total)ival-assert: 4.0ms (0.6% of total)exact: 3.0ms (0.5% of total)adjust: 2.0ms (0.3% of total)Loading profile data...