Herbie run
| Date: | Wednesday, August 28th, 2024 |
|---|---|
| Commit: | 5230d4a3 on main |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024241 |
| 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: 3.2min)
| 20.9s | 43 441× | 1 | valid |
| 10.1s | 109 757× | 0 | valid |
| 9.6s | 6 260× | 5 | exit |
| 4.6s | 11 922× | 2 | valid |
| 1.6s | 10 083× | 1 | exit |
| 709.0ms | 3 874× | 0 | invalid |
| 97.0ms | 1 365× | 0 | exit |
| 2.0ms | 1× | 4 | exit |
| 0.0ms | 1× | 3 | exit |
const: 10.6s (27% of total)ival-exp: 4.3s (10.9% of total)ival-pow: 3.8s (9.8% of total)adjust: 2.6s (6.6% of total)ival-cos: 2.3s (5.9% of total)ival-mult: 2.2s (5.6% of total)ival-tan: 1.8s (4.6% of total)ival-log: 1.6s (4.1% of total)ival-add: 1.4s (3.7% of total)ival-sqrt: 1.1s (2.9% of total)ival-div: 1.1s (2.8% of total)ival-sin: 1.1s (2.7% of total)ival-sub: 909.0ms (2.3% of total)ival-fmod: 872.0ms (2.2% of total)ival-<=: 861.0ms (2.2% of total)ival-sinh: 805.0ms (2.1% of total)ival-pow2: 346.0ms (0.9% of total)ival-acos: 341.0ms (0.9% of total)ival-neg: 175.0ms (0.4% of total)ival-hypot: 173.0ms (0.4% of total)ival-and: 112.0ms (0.3% of total)ival-==: 105.0ms (0.3% of total)ival-atan: 94.0ms (0.2% of total)ival-true: 92.0ms (0.2% of total)exact: 75.0ms (0.2% of total)ival-assert: 70.0ms (0.2% of total)ival->=: 64.0ms (0.2% of total)ival-<: 63.0ms (0.2% of total)ival-or: 36.0ms (0.1% of total)ival->: 18.0ms (0% of total)| 685 738× | lower-fma.f32 |
| 685 578× | lower-fma.f64 |
| 331 012× | lower-*.f32 |
| 330 540× | lower-*.f64 |
| 170 726× | lower-+.f32 |
| 138× | iter limit |
| 73× | node limit |
| 15× | fuel |
| 6× | saturated |
| 5× | done |
| 4× | unsound |
Compiled 7 894 to 3 602 computations (54.4% saved)
Compiled 82 763 to 36 233 computations (56.2% saved)
| 164× | egg-herbie |
| 1 051 620× | lower-fma.f32 |
| 1 051 324× | lower-fma.f64 |
| 374 694× | lower-*.f32 |
| 374 026× | lower-*.f64 |
| 225 998× | lower-+.f32 |
| 210× | iter limit |
| 90× | saturated |
| 80× | node limit |
| 296 256× | lower-fma.f32 |
| 295 962× | lower-fma.f64 |
| 268 766× | lower-*.f32 |
| 268 106× | lower-*.f64 |
| 199 784× | lower-/.f32 |
| 158× | iter limit |
| 62× | node limit |
| 7× | unsound |
| 6× | saturated |
Compiled 2 703 605 to 152 370 computations (94.4% saved)
| 4.7s | 5 041× | 1 | valid |
| 2.3s | 11 103× | 0 | valid |
| 1.8s | 1 750× | 2 | valid |
| 72.0ms | 60× | 3 | valid |
| 59.0ms | 208× | 1 | exit |
| 57.0ms | 270× | 0 | invalid |
Compiled 12 823 to 1 831 computations (85.7% saved)
ival-mult: 1.5s (23.1% of total)ival-pow: 990.0ms (15% of total)adjust: 697.0ms (10.6% of total)ival-div: 527.0ms (8% of total)ival-add: 498.0ms (7.6% of total)ival-cos: 358.0ms (5.4% of total)ival-tan: 302.0ms (4.6% of total)ival-sin: 288.0ms (4.4% of total)const: 220.0ms (3.3% of total)ival-sub: 194.0ms (2.9% of total)ival-log: 181.0ms (2.7% of total)ival-sqrt: 160.0ms (2.4% of total)ival-pow2: 123.0ms (1.9% of total)ival-exp: 107.0ms (1.6% of total)ival-neg: 89.0ms (1.3% of total)ival-sinh: 83.0ms (1.3% of total)ival-fmod: 55.0ms (0.8% of total)ival-acos: 51.0ms (0.8% of total)ival-hypot: 43.0ms (0.7% of total)ival-asin: 33.0ms (0.5% of total)exact: 21.0ms (0.3% of total)ival-cbrt: 19.0ms (0.3% of total)ival-true: 14.0ms (0.2% of total)ival-assert: 7.0ms (0.1% of total)ival-pi: 6.0ms (0.1% of total)ival-atan: 1.0ms (0% of total)53 calls:
| 908.0ms | a |
| 834.0ms | x |
| 570.0ms | b |
| 468.0ms | r |
| 421.0ms | y |
Compiled 3 002 to 2 051 computations (31.7% saved)
| 20× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 73.7% | 26.3% | 0% | 0% | 0% | 0 |
| 28.8% | 21.3% | 52.5% | 26.3% | 0% | 0% | 0% | 1 |
| 44.1% | 32.5% | 41.2% | 26.3% | 0% | 0% | 0% | 2 |
| 52.6% | 38.7% | 35% | 26.3% | 0% | 0% | 0% | 3 |
| 61.9% | 45.6% | 28.1% | 26.3% | 0% | 0% | 0% | 4 |
| 65.2% | 47.5% | 25.3% | 26.3% | 0% | 0.9% | 0% | 5 |
| 66.8% | 48.4% | 24% | 26.3% | 0% | 1.2% | 0% | 6 |
| 71.1% | 51.1% | 20.8% | 26.3% | 0% | 1.9% | 0% | 7 |
| 72.1% | 51.6% | 20% | 26.3% | 0% | 2.1% | 0% | 8 |
| 74.4% | 53% | 18.2% | 26.3% | 0% | 2.5% | 0% | 9 |
| 75.8% | 53.9% | 17.2% | 26.3% | 0% | 2.6% | 0% | 10 |
| 76.6% | 54.3% | 16.6% | 26.3% | 0% | 2.8% | 0% | 11 |
| 77.3% | 54.8% | 16.1% | 26.3% | 0% | 2.9% | 0% | 12 |
Compiled 279 to 216 computations (22.6% saved)
390 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 145.0ms | x | @ | -inf | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
| 110.0ms | x | @ | 0 | ((* (* x (pow 64 1/16)) (neg (pow 16 1/32))) (* x (pow 64 1/16)) (pow 64 1/16) (neg (pow 16 1/32)) (* (/ 2 (sqrt 2)) x) (/ 2 (sqrt 2)) (sqrt 2) (/ (- 0 (* (* x x) 2)) (* (sqrt 2) x)) (- 0 (* (* x x) 2)) (* (* x x) 2) (* x x) (/ -1 (pow (* (sqrt 2) x) -1)) (pow (* (sqrt 2) x) -1) (* (sqrt 2) x) (* (* (pow 4 1/8) x) (neg (sqrt (sqrt 2)))) (* (pow 4 1/8) x) (pow 4 1/8) (neg (sqrt (sqrt 2))) (pow 16 1/32)) |
| 101.0ms | x | @ | 0 | ((* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (pow (* 16 x) 1/8) (pow x 7/8)) (pow (* 16 x) 1/8) (* 16 x) (pow x 7/8) (pow (pow 16 1/16) 2) (* (pow (pow 16 1/16) 2) x) (pow 16 1/16) (pow (* (* (* x x) (* x x)) 4) 1/4) (* (* (* x x) (* x x)) 4) (* x x) (* (* x x) (* x x)) (* (sqrt x) (* x 2))) |
| 95.0ms | x | @ | 0 | ((* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* 2 (sqrt (pow x 4)))) (* 2 (sqrt (pow x 4))) (sqrt (pow x 4)) (pow x 4) (pow (* 4 (pow x 4)) 1/4) (* 4 (pow x 4))) |
| 85.0ms | x | @ | -inf | ((* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (pow (* 16 x) 1/8) (pow x 7/8)) (pow (* 16 x) 1/8) (* 16 x) (pow x 7/8) (pow (pow 16 1/16) 2) (* (pow (pow 16 1/16) 2) x) (pow 16 1/16) (pow (* (* (* x x) (* x x)) 4) 1/4) (* (* (* x x) (* x x)) 4) (* x x) (* (* x x) (* x x)) (* (sqrt x) (* x 2))) |
| 20× | egg-herbie |
| 26 494× | lower-fma.f32 |
| 26 494× | lower-fma.f64 |
| 5 788× | lower-+.f32 |
| 5 770× | lower-+.f64 |
| 5 074× | unsub-neg |
| 39× | saturated |
| 38× | iter limit |
| 3× | node limit |
Compiled 8 539 to 3 322 computations (61.1% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 590 | 0 |
cos.f64 | #f | sensitivity | 492 | 1 |
-.f64 | #f | cancellation | 335 | 3 |
sqrt.f64 | #f | uflow-rescue | 329 | 0 |
/.f64 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) | n/o | 255 | 0 |
| ↳ | (-.f64 hi lo) | overflow | 256 | |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 255 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 246 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 199 | 1 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 105 | 15 |
*.f64 | #f | n*o | 39 | 0 |
*.f64 | #f | n*u | 37 | 0 |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 25 | 0 |
| ↳ | (*.f64 a a) | overflow | 128 | |
| ↳ | (*.f64 b b) | overflow | 25 | |
*.f64 | #f | u*o | 21 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 19 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 58 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 72 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 62 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 60 | |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 9 | 0 |
| ↳ | (sinh.f64 x) | overflow | 9 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 9 | |
/.f64 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) | o/o | 1 | 0 |
| ↳ | (-.f64 x lo) | overflow | 1 | |
| ↳ | (-.f64 hi lo) | overflow | 256 | |
exp.f64 | (exp.f64 (neg.f64 w)) | sensitivity | 1 | 0 |
+.f64 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2214 | 260 |
| - | 659 | 1987 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2214 | 3 | 257 |
| - | 659 | 16 | 1971 |
| number | freq |
|---|---|
| 0 | 2247 |
| 1 | 2789 |
| 2 | 82 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 0 |
| - | 0 | 0 | 2 |
| 1.1s | 2 680× | 1 | valid |
| 577.0ms | 6 708× | 0 | valid |
| 279.0ms | 748× | 2 | valid |
| 14.0ms | 104× | 1 | exit |
Compiled 1 103 to 440 computations (60.1% saved)
adjust: 714.0ms (45.9% of total)ival-mult: 132.0ms (8.5% of total)ival-log: 115.0ms (7.4% of total)ival-tan: 107.0ms (6.9% of total)ival-cos: 73.0ms (4.7% of total)ival-add: 70.0ms (4.5% of total)ival-sqrt: 47.0ms (3% of total)ival-pow2: 40.0ms (2.6% of total)ival-exp: 38.0ms (2.4% of total)ival-sin: 38.0ms (2.4% of total)ival-sinh: 36.0ms (2.3% of total)ival-sub: 32.0ms (2.1% of total)ival-div: 29.0ms (1.9% of total)ival-fmod: 29.0ms (1.9% of total)ival-acos: 18.0ms (1.2% of total)ival-pow: 10.0ms (0.6% of total)ival-hypot: 8.0ms (0.5% of total)ival-true: 8.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)ival-neg: 4.0ms (0.3% of total)ival-atan: 3.0ms (0.2% of total)exact: 2.0ms (0.1% of total)| 40× | binary-search |
| 16× | left-value |
| 40× | narrow-enough |
| 256.0ms | 1 439× | 1 | valid |
| 158.0ms | 2 129× | 0 | valid |
Compiled 9 554 to 6 583 computations (31.1% saved)
ival-cos: 79.0ms (26% of total)ival-sin: 66.0ms (21.8% of total)ival-tan: 37.0ms (12.2% of total)adjust: 29.0ms (9.6% of total)ival-add: 23.0ms (7.6% of total)ival-mult: 23.0ms (7.6% of total)ival-div: 21.0ms (6.9% of total)ival-pow2: 6.0ms (2% of total)ival-exp: 5.0ms (1.6% of total)ival-pow: 5.0ms (1.6% of total)ival-sqrt: 3.0ms (1% of total)ival-sub: 2.0ms (0.7% of total)ival-true: 2.0ms (0.7% of total)ival-assert: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)exact: 0.0ms (0% of total)Loading profile data...