Herbie run
| Date: | Tuesday, August 20th, 2024 |
|---|---|
| Commit: | fce740b4 on ffi-types |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024233 |
| 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)
| 31.2s | 221 431× | 0 | valid |
| 11.3s | 26 745× | 1 | valid |
| 10.0s | 66 155× | 0 | invalid |
| 3.8s | 12 204× | 1 | invalid |
| 3.3s | 9 768× | 2 | valid |
| 2.3s | 6 241× | 3 | valid |
| 350.0ms | 1 779× | 1 | exit |
| 141.0ms | 500× | 2 | invalid |
| 29.0ms | 250× | 0 | exit |
| 3.0ms | 7× | 4 | valid |
| 1.0ms | 2× | 4 | exit |
ival-mult: 12.3s (24.9% of total)ival-div: 7.3s (14.7% of total)ival-tan: 4.2s (8.6% of total)ival-sub: 3.5s (7% of total)ival-pow2: 3.1s (6.3% of total)ival-add: 2.7s (5.5% of total)ival-sqrt: 2.7s (5.4% of total)adjust: 2.4s (4.8% of total)ival-pow: 2.2s (4.5% of total)ival-exp: 1.9s (3.9% of total)ival-sin: 1.9s (3.8% of total)ival-cos: 950.0ms (1.9% of total)ival-acos: 873.0ms (1.8% of total)const: 539.0ms (1.1% of total)ival-neg: 499.0ms (1% of total)ival-pi: 442.0ms (0.9% of total)ival-hypot: 426.0ms (0.9% of total)ival-log: 347.0ms (0.7% of total)exact: 325.0ms (0.7% of total)ival-asin: 292.0ms (0.6% of total)ival-true: 266.0ms (0.5% of total)ival-assert: 144.0ms (0.3% of total)ival-fabs: 90.0ms (0.2% of total)ival-atan: 87.0ms (0.2% of total)ival-<: 44.0ms (0.1% of total)ival-and: 11.0ms (0% of total)| 288× | egg-herbie |
| 2 584 882× | lower-fma.f32 |
| 2 584 174× | lower-fma.f64 |
| 1 292 752× | lower-*.f32 |
| 1 290 298× | lower-*.f64 |
| 691 930× | lower-+.f32 |
| 384× | iter limit |
| 225× | node limit |
| 63× | saturated |
| 1 421 974× | lower-fma.f32 |
| 1 421 548× | lower-fma.f64 |
| 1 037 220× | lower-*.f32 |
| 1 035 386× | lower-*.f64 |
| 512 018× | lower-/.f32 |
| 284× | iter limit |
| 186× | node limit |
| 30× | fuel |
| 2× | done |
Compiled 56 468 to 23 554 computations (58.3% saved)
| 584 740× | lower-*.f32 |
| 582 312× | lower-*.f64 |
| 570 254× | lower-fma.f32 |
| 569 546× | lower-fma.f64 |
| 462 448× | lower-/.f32 |
| 262× | iter limit |
| 128× | node limit |
Compiled 191 799 to 93 903 computations (51% saved)
Compiled 7 293 529 to 455 208 computations (93.8% saved)
| 9.2s | 22 777× | 0 | valid |
| 4.5s | 4 499× | 1 | valid |
| 3.8s | 2 422× | 2 | valid |
| 3.5s | 351× | 3 | exit |
| 1.4s | 652× | 3 | valid |
| 614.0ms | 158× | 5 | exit |
| 576.0ms | 1 313× | 0 | invalid |
| 214.0ms | 594× | 0 | exit |
| 21.0ms | 2× | 4 | valid |
Compiled 49 810 to 5 683 computations (88.6% saved)
ival-mult: 4.6s (25.1% of total)ival-tan: 3.2s (17.3% of total)ival-div: 2.4s (12.9% of total)ival-add: 1.8s (9.7% of total)adjust: 1.1s (6.2% of total)ival-cos: 991.0ms (5.4% of total)ival-sqrt: 929.0ms (5% of total)ival-sub: 644.0ms (3.5% of total)const: 344.0ms (1.9% of total)ival-pow: 300.0ms (1.6% of total)ival-sin: 297.0ms (1.6% of total)ival-exp: 282.0ms (1.5% of total)ival-pow2: 262.0ms (1.4% of total)ival-acos: 226.0ms (1.2% of total)ival-log: 217.0ms (1.2% of total)ival-neg: 176.0ms (1% of total)ival-cbrt: 113.0ms (0.6% of total)ival-asin: 112.0ms (0.6% of total)ival-hypot: 88.0ms (0.5% of total)exact: 66.0ms (0.4% of total)ival-pi: 53.0ms (0.3% of total)ival-cosh: 51.0ms (0.3% of total)ival-true: 43.0ms (0.2% of total)ival-sinh: 30.0ms (0.2% of total)ival-atan: 27.0ms (0.1% of total)ival-tanh: 26.0ms (0.1% of total)ival-assert: 15.0ms (0.1% of total)ival-fabs: 14.0ms (0.1% of total)156 calls:
| 1.5s | l |
| 944.0ms | t |
| 854.0ms | k |
| 688.0ms | B |
| 619.0ms | x |
Compiled 19 719 to 13 368 computations (32.2% saved)
| 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 59 065 to 15 345 computations (74% saved)
9981 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 114.0ms | f | @ | 0 | (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) |
| 85.0ms | Vef | @ | -inf | (+ (* -1/4 (+ (* NaChar (/ (- (+ EAccept Vef) mu) KbT)) (* NdChar (/ (+ EDonor (+ Vef (- mu Ec))) KbT)))) (* 1/2 (+ NaChar NdChar))) |
| 73.0ms | a | @ | -inf | (/ a (+ (* k (+ 10 k)) 1)) |
| 66.0ms | f | @ | -inf | (* (pow (* (PI) 1/4) -1/2) (* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f))))) |
| 60.0ms | f | @ | inf | (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* (* (PI) 1/4) f)))) (log (* 2 (sinh (* (* (PI) 1/4) f))))))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 475 | 0 |
-.f64 | #f | cancellation | 459 | 2 |
cos.f64 | #f | sensitivity | 420 | 0 |
+.f64 | #f | nan-rescue | 256 | 0 |
*.f64 | #f | n*o | 254 | 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 | 251 | 0 |
sqrt.f64 | #f | uflow-rescue | 170 | 0 |
pow.f64 | #f | oflow-rescue | 144 | 0 |
*.f64 | #f | u*o | 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 | 127 | 1 |
-.f64 | #f | nan-rescue | 125 | 0 |
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | sensitivity | 122 | 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 | 89 | 25 |
/.f64 | #f | o/o | 59 | 0 |
*.f64 | #f | n*u | 56 | 0 |
pow.f64 | #f | uflow-rescue | 55 | 0 |
*.f64 | #f | o*u | 54 | 0 |
cos.f64 | (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) | oflow-rescue | 52 | 0 |
| ↳ | (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) | overflow | 52 | |
| ↳ | (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) | overflow | 52 | |
| ↳ | (*.f64 K (+.f64 m n)) | overflow | 52 | |
/.f64 | #f | o/n | 49 | 0 |
+.f64 | #f | cancellation | 48 | 0 |
/.f64 | #f | u/u | 45 | 0 |
/.f64 | #f | n/o | 29 | 0 |
/.f64 | #f | n/u | 25 | 0 |
/.f64 | #f | u/n | 19 | 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 | 9 | 0 |
exp.f64 | #f | sensitivity | 3 | 5 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1987 | 37 |
| - | 1114 | 5054 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1987 | 2 | 35 |
| - | 1114 | 26 | 5028 |
| number | freq |
|---|---|
| 0 | 5091 |
| 1 | 2712 |
| 2 | 357 |
| 3 | 30 |
| 4 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 25 | 0 | 0 |
| - | 1 | 0 | 6 |
| 1.9s | 13 200× | 0 | valid |
| 835.0ms | 2 012× | 1 | valid |
| 476.0ms | 788× | 2 | valid |
| 181.0ms | 374× | 3 | valid |
| 5.0ms | 10× | 5 | exit |
Compiled 7 669 to 1 655 computations (78.4% saved)
ival-mult: 517.0ms (20.6% of total)ival-tan: 367.0ms (14.6% of total)ival-div: 366.0ms (14.6% of total)ival-exp: 176.0ms (7% of total)ival-add: 154.0ms (6.1% of total)ival-sub: 145.0ms (5.8% of total)adjust: 118.0ms (4.7% of total)ival-pow2: 111.0ms (4.4% of total)ival-sin: 110.0ms (4.4% of total)ival-sqrt: 105.0ms (4.2% of total)ival-pow: 74.0ms (2.9% of total)ival-cos: 58.0ms (2.3% of total)ival-asin: 42.0ms (1.7% of total)ival-neg: 28.0ms (1.1% of total)ival-acos: 27.0ms (1.1% of total)ival-hypot: 22.0ms (0.9% of total)ival-pi: 18.0ms (0.7% of total)exact: 18.0ms (0.7% of total)ival-log: 15.0ms (0.6% of total)ival-true: 15.0ms (0.6% 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)
| 350× | left-value |
| 171× | binary-search |
| 159× | narrow-enough |
| 12× | predicate-same |
| 2.0s | 12 702× | 0 | valid |
| 311.0ms | 2 105× | 0 | invalid |
| 122.0ms | 363× | 1 | valid |
| 45.0ms | 97× | 2 | valid |
| 12.0ms | 64× | 1 | invalid |
| 12.0ms | 22× | 3 | valid |
| 3.0ms | 10× | 2 | invalid |
Compiled 56 959 to 37 382 computations (34.4% saved)
ival-mult: 503.0ms (24.9% of total)ival-div: 352.0ms (17.4% of total)ival-sin: 205.0ms (10.1% of total)ival-tan: 197.0ms (9.7% of total)ival-add: 174.0ms (8.6% of total)ival-pow: 157.0ms (7.8% of total)ival-sub: 133.0ms (6.6% of total)ival-pow2: 109.0ms (5.4% of total)ival-neg: 41.0ms (2% of total)ival-sqrt: 35.0ms (1.7% of total)adjust: 23.0ms (1.1% of total)ival-cos: 18.0ms (0.9% of total)ival-exp: 17.0ms (0.8% of total)const: 15.0ms (0.7% of total)exact: 15.0ms (0.7% of total)ival-true: 11.0ms (0.5% of total)ival-atan: 7.0ms (0.3% of total)ival-fabs: 6.0ms (0.3% of total)ival-assert: 6.0ms (0.3% of total)Loading profile data...