Herbie run
| Date: | Tuesday, October 22nd, 2024 |
|---|---|
| Commit: | dcd5694a on varun10p-identities |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024296 |
| Parameters: | 256 points for 4 iterations |
| Flags: | localize:costslocalize:errorsreduce:regimesreduce: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)
| 29.2s | 43 272× | 1 | valid |
| 14.4s | 109 998× | 0 | valid |
| 8.5s | 6 231× | 5 | exit |
| 4.4s | 11 850× | 2 | valid |
| 1.5s | 10 358× | 1 | exit |
| 688.0ms | 3 900× | 0 | invalid |
| 107.0ms | 1 379× | 0 | exit |
| 0.0ms | 1× | 3 | exit |
ival-tan: 8.0s (18% of total)const: 7.9s (17.8% of total)ival-sin: 4.7s (10.5% of total)ival-exp: 3.9s (8.7% of total)ival-pow: 3.5s (7.8% of total)ival-cos: 2.3s (5.2% of total)ival-mult: 2.2s (5% of total)adjust: 1.9s (4.3% of total)ival-log: 1.6s (3.6% of total)ival-add: 1.1s (2.5% of total)ival-sqrt: 1.0s (2.2% of total)ival-<=: 888.0ms (2% of total)ival-fmod: 878.0ms (2% of total)ival-sub: 840.0ms (1.9% of total)ival-sinh: 737.0ms (1.6% of total)ival-acos: 687.0ms (1.5% of total)ival-div: 654.0ms (1.5% of total)ival-pow2: 497.0ms (1.1% of total)ival-hypot: 264.0ms (0.6% of total)ival-neg: 210.0ms (0.5% of total)ival-==: 195.0ms (0.4% of total)ival-and: 117.0ms (0.3% of total)ival-true: 103.0ms (0.2% of total)exact: 82.0ms (0.2% of total)ival-assert: 75.0ms (0.2% of total)ival-<: 65.0ms (0.1% of total)ival->=: 60.0ms (0.1% of total)ival-atan: 50.0ms (0.1% of total)ival-or: 40.0ms (0.1% of total)ival->: 26.0ms (0.1% of total)| 136× | iter limit |
| 74× | node limit |
| 14× | fuel |
| 6× | done |
| 4× | saturated |
| 4× | unsound |
Compiled 8 032 to 4 096 computations (49% saved)
| 162× | egg-herbie |
| 209× | iter limit |
| 99× | node limit |
| 67× | saturated |
Compiled 1 374 635 to 153 572 computations (88.8% saved)
| 155× | iter limit |
| 64× | node limit |
| 6× | unsound |
| 4× | saturated |
| 4.3s | 5 249× | 1 | valid |
| 2.4s | 10 301× | 0 | valid |
| 1.6s | 1 347× | 2 | valid |
| 214.0ms | 627× | 0 | invalid |
| 166.0ms | 181× | 1 | invalid |
| 67.0ms | 248× | 1 | exit |
| 50.0ms | 223× | 0 | exit |
Compiled 24 854 to 3 708 computations (85.1% saved)
ival-mult: 1.3s (20.3% of total)ival-div: 883.0ms (13.3% of total)adjust: 654.0ms (9.8% of total)ival-pow: 485.0ms (7.3% of total)ival-add: 484.0ms (7.3% of total)ival-cos: 408.0ms (6.1% of total)ival-sin: 348.0ms (5.2% of total)ival-tan: 339.0ms (5.1% of total)ival-sqrt: 300.0ms (4.5% of total)ival-log: 257.0ms (3.9% of total)ival-sub: 245.0ms (3.7% of total)ival-pow2: 157.0ms (2.4% of total)ival-neg: 144.0ms (2.2% of total)ival-sinh: 131.0ms (2% of total)const: 120.0ms (1.8% of total)ival-exp: 94.0ms (1.4% of total)ival-acos: 53.0ms (0.8% of total)ival-fmod: 51.0ms (0.8% of total)ival-asin: 45.0ms (0.7% of total)ival-hypot: 26.0ms (0.4% of total)exact: 23.0ms (0.3% of total)ival-true: 16.0ms (0.2% of total)ival-cbrt: 15.0ms (0.2% of total)ival-pi: 11.0ms (0.2% of total)ival-assert: 8.0ms (0.1% of total)ival-atan: 5.0ms (0.1% of total)393 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 284.0ms | a | @ | 0 | ((- (* a a) (* b b)) (sqrt (- (* a a) (* b b))) (* a a) (* b b)) |
| 197.0ms | x | @ | -inf | ((* (* (pow x 1/4) (sqrt (* (sqrt x) 2))) (sqrt x)) (* (pow x 1/4) (sqrt (* (sqrt x) 2))) (pow x 1/4) (sqrt (* (sqrt x) 2)) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (sqrt x)) |
| 192.0ms | x | @ | inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (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) (* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4)) |
| 189.0ms | x | @ | 0 | ((* (* (pow x 1/4) (sqrt (* (sqrt x) 2))) (sqrt x)) (* (pow x 1/4) (sqrt (* (sqrt x) 2))) (pow x 1/4) (sqrt (* (sqrt x) 2)) (* (pow 64 1/16) (* (pow 16 1/32) x)) (pow 64 1/16) (* (pow 16 1/32) x) (pow 16 1/32) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (sqrt x)) |
| 159.0ms | x | @ | inf | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
53 calls:
| 560.0ms | a |
| 468.0ms | x |
| 414.0ms | b |
| 316.0ms | r |
| 163.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 1 627 to 1 826 computations (-12.2% saved)
Compiled 98 872 to 50 485 computations (48.9% 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 |
| 39× | saturated |
| 38× | iter limit |
| 3× | node limit |
Compiled 8 103 to 3 030 computations (62.6% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 610 | 0 |
cos.f64 | #f | sensitivity | 501 | 3 |
-.f64 | #f | cancellation | 345 | 0 |
sqrt.f64 | #f | uflow-rescue | 322 | 0 |
/.f64 | #f | n/o | 257 | 0 |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 254 | 1 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 252 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 199 | 0 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 128 | 17 |
*.f64 | #f | n*u | 37 | 0 |
*.f64 | #f | n*o | 36 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | u*o | 18 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | underflow | 74 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 69 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 59 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 64 | |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 18 | 0 |
| ↳ | (*.f64 a a) | overflow | 116 | |
| ↳ | (*.f64 b b) | overflow | 18 | |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 17 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 52 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 81 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 59 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 60 | |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 2 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 2 | 0 |
| ↳ | (sinh.f64 x) | overflow | 2 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 2 | |
/.f64 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) | o/o | 1 | 0 |
| ↳ | (-.f64 x lo) | overflow | 1 | |
| ↳ | (-.f64 hi lo) | overflow | 256 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2237 | 255 |
| - | 688 | 1940 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2237 | 0 | 255 |
| - | 688 | 20 | 1920 |
| number | freq |
|---|---|
| 0 | 2195 |
| 1 | 2853 |
| 2 | 70 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 0 |
| - | 0 | 0 | 2 |
| 495.0ms | 2 748× | 1 | valid |
| 480.0ms | 6 688× | 0 | valid |
| 260.0ms | 680× | 2 | valid |
| 18.0ms | 124× | 1 | exit |
Compiled 1 486 to 560 computations (62.3% saved)
ival-cos: 95.0ms (10.9% of total)ival-mult: 91.0ms (10.5% of total)ival-add: 90.0ms (10.3% of total)adjust: 78.0ms (9% of total)ival-tan: 75.0ms (8.6% of total)ival-log: 66.0ms (7.6% of total)ival-sqrt: 64.0ms (7.4% of total)ival-sinh: 45.0ms (5.2% of total)ival-exp: 42.0ms (4.8% of total)ival-sub: 42.0ms (4.8% of total)ival-div: 35.0ms (4% of total)ival-sin: 35.0ms (4% of total)ival-fmod: 25.0ms (2.9% of total)ival-acos: 25.0ms (2.9% of total)ival-pow2: 22.0ms (2.5% of total)ival-hypot: 9.0ms (1% of total)ival-true: 9.0ms (1% of total)ival-pow: 8.0ms (0.9% of total)ival-neg: 5.0ms (0.6% of total)ival-assert: 4.0ms (0.5% of total)ival-atan: 3.0ms (0.3% of total)exact: 2.0ms (0.2% of total)| 47× | binary-search |
| 10× | left-value |
| 46× | narrow-enough |
| 1× | predicate-same |
| 212.0ms | 1 090× | 1 | valid |
| 199.0ms | 2 398× | 0 | valid |
Compiled 13 698 to 10 616 computations (22.5% saved)
ival-cos: 55.0ms (19.1% of total)ival-tan: 42.0ms (14.6% of total)ival-mult: 38.0ms (13.2% of total)ival-sin: 31.0ms (10.8% of total)ival-exp: 24.0ms (8.3% of total)adjust: 21.0ms (7.3% of total)ival-add: 19.0ms (6.6% of total)ival-pow: 18.0ms (6.3% of total)ival-div: 12.0ms (4.2% of total)ival-pow2: 8.0ms (2.8% of total)ival-neg: 5.0ms (1.7% of total)ival-sub: 4.0ms (1.4% of total)ival-acos: 4.0ms (1.4% of total)ival-sqrt: 3.0ms (1% of total)ival-true: 3.0ms (1% of total)ival-assert: 2.0ms (0.7% of total)exact: 0.0ms (0% of total)Loading profile data...