Herbie run
| Date: | Friday, August 30th, 2024 |
|---|---|
| Commit: | fc30cd44 on main |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024243 |
| 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: 3.3min)
| 23.7s | 43 346× | 1 | valid |
| 10.4s | 6 462× | 5 | exit |
| 10.0s | 109 926× | 0 | valid |
| 4.2s | 11 848× | 2 | valid |
| 1.3s | 10 381× | 1 | exit |
| 435.0ms | 4 006× | 0 | invalid |
| 101.0ms | 1 386× | 0 | exit |
| 0.0ms | 1× | 3 | exit |
const: 9.0s (21.2% of total)ival-tan: 6.8s (16.1% of total)ival-pow: 4.4s (10.4% of total)ival-exp: 4.3s (10.2% of total)ival-cos: 3.6s (8.5% of total)adjust: 2.2s (5.1% of total)ival-mult: 1.9s (4.5% of total)ival-log: 1.6s (3.7% of total)ival-sin: 1.3s (3.2% of total)ival-sqrt: 1.0s (2.5% of total)ival-fmod: 809.0ms (1.9% of total)ival-add: 748.0ms (1.8% of total)ival-div: 733.0ms (1.7% of total)ival-sinh: 708.0ms (1.7% of total)ival-sub: 633.0ms (1.5% of total)ival-acos: 485.0ms (1.1% of total)ival-<=: 462.0ms (1.1% of total)ival-pow2: 407.0ms (1% of total)ival-hypot: 293.0ms (0.7% of total)ival-neg: 278.0ms (0.7% of total)ival-and: 112.0ms (0.3% of total)ival-==: 105.0ms (0.2% of total)ival-true: 97.0ms (0.2% of total)ival-assert: 77.0ms (0.2% of total)exact: 76.0ms (0.2% of total)ival-atan: 64.0ms (0.2% of total)ival-<: 63.0ms (0.1% of total)ival->=: 61.0ms (0.1% of total)ival-or: 37.0ms (0.1% of total)ival->: 17.0ms (0% of total)| 627 068× | lower-fma.f32 |
| 626 902× | lower-fma.f64 |
| 319 362× | lower-*.f32 |
| 318 884× | lower-*.f64 |
| 153 048× | lower-+.f32 |
| 133× | iter limit |
| 71× | node limit |
| 14× | fuel |
| 6× | done |
| 5× | saturated |
| 4× | unsound |
Compiled 6 301 to 3 331 computations (47.1% saved)
Compiled 2 129 452 to 172 166 computations (91.9% saved)
| 168× | egg-herbie |
| 1 032 886× | lower-fma.f32 |
| 1 032 584× | lower-fma.f64 |
| 370 980× | lower-*.f32 |
| 370 308× | lower-*.f64 |
| 215 740× | lower-+.f32 |
| 217× | iter limit |
| 93× | saturated |
| 80× | node limit |
| 272 898× | lower-fma.f32 |
| 272 600× | lower-fma.f64 |
| 262 384× | lower-*.f32 |
| 261 730× | lower-*.f64 |
| 197 176× | lower-/.f32 |
| 165× | iter limit |
| 65× | node limit |
| 7× | unsound |
| 5× | saturated |
408 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.4s | x | @ | inf | ((* (* (sqrt x) 2) (sqrt x)) (* (sqrt (* (* (sqrt x) 2) (sqrt x))) (sqrt x)) (sqrt (* (* (sqrt x) 2) (sqrt x))) (* (sqrt x) 2) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (pow 16 1/32) (* (pow 64 1/16) x)) (pow 16 1/32) (* (pow 64 1/16) x) (pow 64 1/16) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32)) |
| 128.0ms | x | @ | 0 | ((* (pow x 7/8) (sqrt (* (pow x 1/4) 2))) (pow x 7/8) (sqrt (* (pow x 1/4) 2)) (* (pow x 1/4) 2) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (sqrt (* 2 (pow (sqrt x) 4))) (* 2 (pow (sqrt x) 4)) (pow (sqrt x) 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x)) |
| 103.0ms | x | @ | 0 | ((* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2))) (* (* (pow x 1/4) (sqrt x)) (sqrt (* (sqrt x) 2))) (* (pow x 1/4) (sqrt x)) (pow x 1/4) (pow (pow 4 1/8) 2) (* (pow (pow 4 1/8) 2) x) (pow 4 1/8) (* (sqrt x) (* x 2)) (sqrt (* (sqrt x) 2))) |
| 94.0ms | l | @ | 0 | ((* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) (neg l)) w) l) (+ (* (log l) l) (neg l)) (log l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (pow l (exp w)) (exp w) (* (exp (neg w)) 1) (exp (neg w)) (neg w)) |
| 90.0ms | x | @ | -inf | ((* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4) (* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2))) (* (* (pow x 1/4) (sqrt x)) (sqrt (* (sqrt x) 2))) (* (pow x 1/4) (sqrt x)) (pow x 1/4) (pow (pow 4 1/8) 2) (* (pow (pow 4 1/8) 2) x) (pow 4 1/8) (* (sqrt x) (* x 2)) (sqrt (* (sqrt x) 2))) |
Compiled 80 592 to 42 174 computations (47.7% saved)
| 3.7s | 5 206× | 1 | valid |
| 2.0s | 11 403× | 0 | valid |
| 1.5s | 1 336× | 2 | valid |
| 283.0ms | 793× | 0 | invalid |
| 61.0ms | 204× | 1 | exit |
| 12.0ms | 1× | 5 | exit |
| 3.0ms | 1× | 3 | valid |
Compiled 12 886 to 1 870 computations (85.5% saved)
ival-mult: 1.4s (23.7% of total)adjust: 613.0ms (10.6% of total)ival-div: 535.0ms (9.3% of total)ival-add: 392.0ms (6.8% of total)ival-cos: 373.0ms (6.5% of total)ival-tan: 295.0ms (5.1% of total)ival-pow: 293.0ms (5.1% of total)ival-log: 269.0ms (4.7% of total)ival-sin: 256.0ms (4.4% of total)ival-exp: 228.0ms (3.9% of total)const: 196.0ms (3.4% of total)ival-sqrt: 194.0ms (3.4% of total)ival-sub: 182.0ms (3.1% of total)ival-neg: 139.0ms (2.4% of total)ival-pow2: 105.0ms (1.8% of total)ival-acos: 78.0ms (1.3% of total)ival-sinh: 71.0ms (1.2% of total)ival-fmod: 54.0ms (0.9% of total)ival-asin: 47.0ms (0.8% of total)ival-hypot: 28.0ms (0.5% of total)exact: 21.0ms (0.4% of total)ival-true: 15.0ms (0.3% of total)ival-assert: 8.0ms (0.1% of total)ival-pi: 7.0ms (0.1% of total)ival-atan: 5.0ms (0.1% of total)ival-cbrt: 4.0ms (0.1% of total)55 calls:
| 882.0ms | a |
| 563.0ms | x |
| 555.0ms | b |
| 511.0ms | r |
| 288.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 1 777 to 1 988 computations (-11.9% 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)
| 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 6 869 to 3 240 computations (52.8% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 607 | 0 |
cos.f64 | #f | sensitivity | 481 | 2 |
-.f64 | #f | cancellation | 353 | 0 |
sqrt.f64 | #f | uflow-rescue | 337 | 0 |
/.f64 | #f | n/o | 258 | 0 |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 256 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 247 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 191 | 0 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 112 | 11 |
*.f64 | #f | n*o | 45 | 0 |
*.f64 | #f | n*u | 30 | 0 |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 22 | 0 |
| ↳ | (*.f64 a a) | overflow | 126 | |
| ↳ | (*.f64 b b) | overflow | 22 | |
*.f64 | #f | u*o | 22 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 12 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 50 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 71 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 60 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 60 | |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 7 | 0 |
| ↳ | (sinh.f64 x) | overflow | 7 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 7 | |
exp.f64 | (exp.f64 (neg.f64 w)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2212 | 262 |
| - | 692 | 1954 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2212 | 0 | 262 |
| - | 692 | 13 | 1941 |
| number | freq |
|---|---|
| 0 | 2216 |
| 1 | 2830 |
| 2 | 71 |
| 3 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 0 |
| - | 0 | 0 | 2 |
| 585.0ms | 2 666× | 1 | valid |
| 563.0ms | 6 724× | 0 | valid |
| 249.0ms | 748× | 2 | valid |
| 14.0ms | 102× | 1 | exit |
Compiled 1 067 to 440 computations (58.8% saved)
ival-sqrt: 123.0ms (13.7% of total)ival-tan: 109.0ms (12.1% of total)ival-cos: 96.0ms (10.7% of total)ival-mult: 91.0ms (10.1% of total)ival-log: 66.0ms (7.3% of total)adjust: 61.0ms (6.8% of total)ival-exp: 51.0ms (5.7% of total)ival-sinh: 46.0ms (5.1% of total)ival-div: 36.0ms (4% of total)ival-add: 36.0ms (4% of total)ival-sin: 36.0ms (4% of total)ival-sub: 33.0ms (3.7% of total)ival-pow2: 29.0ms (3.2% of total)ival-fmod: 26.0ms (2.9% of total)ival-acos: 20.0ms (2.2% of total)ival-hypot: 10.0ms (1.1% of total)ival-pow: 8.0ms (0.9% of total)ival-true: 8.0ms (0.9% of total)ival-neg: 5.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)ival-atan: 3.0ms (0.3% of total)exact: 2.0ms (0.2% of total)| 27× | binary-search |
| 20× | left-value |
| 27× | narrow-enough |
| 199.0ms | 1 584× | 0 | valid |
| 116.0ms | 768× | 1 | valid |
Compiled 4 679 to 4 552 computations (2.7% saved)
ival-cos: 62.0ms (29.4% of total)ival-sin: 48.0ms (22.8% of total)ival-add: 26.0ms (12.3% of total)ival-mult: 17.0ms (8.1% of total)adjust: 13.0ms (6.2% of total)ival-div: 11.0ms (5.2% of total)ival-pow: 10.0ms (4.7% of total)ival-exp: 9.0ms (4.3% of total)ival-acos: 4.0ms (1.9% of total)ival-pow2: 4.0ms (1.9% of total)ival-sqrt: 2.0ms (0.9% of total)ival-true: 2.0ms (0.9% of total)ival-neg: 2.0ms (0.9% of total)ival-assert: 1.0ms (0.5% of total)ival-sub: 1.0ms (0.5% of total)exact: 0.0ms (0% of total)Loading profile data...