Herbie run
| Date: | Tuesday, August 6th, 2024 |
|---|---|
| Commit: | 2.2 on release |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024219 |
| 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: 7.5min)
| 288× | egg-herbie |
| 2 608 752× | lower-fma.f32 |
| 2 608 022× | lower-fma.f64 |
| 1 274 264× | lower-*.f32 |
| 1 271 754× | lower-*.f64 |
| 703 832× | lower-+.f32 |
| 384× | iter limit |
| 226× | node limit |
| 62× | saturated |
| 31.7s | 221 571× | 0 | valid |
| 10.8s | 26 606× | 1 | valid |
| 9.8s | 65 880× | 0 | invalid |
| 3.4s | 9 719× | 2 | valid |
| 3.2s | 12 235× | 1 | invalid |
| 2.6s | 6 293× | 3 | valid |
| 359.0ms | 1 840× | 1 | exit |
| 146.0ms | 512× | 2 | invalid |
| 35.0ms | 236× | 0 | exit |
| 21.0ms | 4× | 3 | exit |
| 1.0ms | 4× | 4 | exit |
| 1.0ms | 2× | 5 | exit |
| 1.0ms | 3× | 4 | valid |
ival-mult: 12.3s (25% of total)ival-div: 7.5s (15.3% of total)ival-sub: 4.1s (8.2% of total)ival-tan: 4.0s (8.1% of total)ival-pow2: 3.4s (6.9% of total)ival-add: 2.8s (5.6% of total)ival-sqrt: 2.4s (4.9% of total)adjust: 2.2s (4.4% of total)ival-pow: 2.1s (4.2% of total)ival-exp: 1.8s (3.6% of total)ival-sin: 1.7s (3.5% of total)ival-cos: 846.0ms (1.7% of total)ival-neg: 607.0ms (1.2% of total)ival-acos: 587.0ms (1.2% of total)ival-hypot: 471.0ms (1% of total)ival-pi: 460.0ms (0.9% of total)const: 430.0ms (0.9% of total)ival-log: 346.0ms (0.7% of total)exact: 330.0ms (0.7% of total)ival-true: 270.0ms (0.5% of total)ival-asin: 222.0ms (0.5% of total)ival-fabs: 151.0ms (0.3% of total)ival-assert: 142.0ms (0.3% of total)ival-atan: 85.0ms (0.2% of total)ival-<: 80.0ms (0.2% of total)ival-and: 11.0ms (0% of total)| 128× | batch-egg-rewrite |
| 596 012× | lower-*.f32 |
| 593 556× | lower-*.f64 |
| 564 940× | lower-fma.f32 |
| 564 216× | lower-fma.f64 |
| 442 534× | lower-/.f32 |
| 264× | iter limit |
| 128× | node limit |
| 1 613 556× | lower-fma.f32 |
| 1 613 188× | lower-fma.f64 |
| 1 057 156× | lower-*.f32 |
| 1 055 288× | lower-*.f64 |
| 531 246× | lower-+.f32 |
| 285× | iter limit |
| 189× | node limit |
| 32× | fuel |
Compiled 55 373 to 23 915 computations (56.8% saved)
Compiled 6 822 209 to 443 606 computations (93.5% saved)
| 9.4s | 22 794× | 0 | valid |
| 4.2s | 4 392× | 1 | valid |
| 3.2s | 2 129× | 2 | valid |
| 1.4s | 843× | 3 | valid |
| 1.2s | 2 035× | 0 | invalid |
| 807.0ms | 114× | 3 | exit |
| 347.0ms | 147× | 5 | exit |
| 189.0ms | 203× | 1 | exit |
| 70.0ms | 106× | 0 | exit |
| 33.0ms | 5× | 4 | exit |
Compiled 49 543 to 5 661 computations (88.6% saved)
ival-mult: 5.0s (30.9% of total)ival-div: 2.2s (14% of total)ival-add: 1.5s (9.2% of total)adjust: 1.0s (6.4% of total)ival-tan: 1.0s (6.4% of total)ival-sqrt: 849.0ms (5.3% of total)ival-cos: 806.0ms (5% of total)ival-sin: 636.0ms (4% of total)ival-sub: 482.0ms (3% of total)ival-pow: 423.0ms (2.6% of total)ival-exp: 355.0ms (2.2% of total)ival-pow2: 330.0ms (2.1% of total)const: 295.0ms (1.8% of total)ival-log: 232.0ms (1.4% of total)ival-asin: 205.0ms (1.3% of total)ival-neg: 196.0ms (1.2% of total)ival-pi: 113.0ms (0.7% of total)ival-acos: 111.0ms (0.7% of total)ival-hypot: 83.0ms (0.5% of total)exact: 68.0ms (0.4% of total)ival-atan: 57.0ms (0.4% of total)ival-true: 31.0ms (0.2% of total)ival-fabs: 16.0ms (0.1% of total)ival-assert: 15.0ms (0.1% of total)ival-tanh: 12.0ms (0.1% of total)ival-sinh: 12.0ms (0.1% of total)ival-cbrt: 4.0ms (0% of total)Compiled 178 040 to 87 259 computations (51% saved)
156 calls:
| 1.9s | l |
| 1.0s | k |
| 986.0ms | d |
| 762.0ms | t |
| 579.0ms | (*.f64 l l) |
Compiled 19 164 to 13 268 computations (30.8% 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 51 682 to 14 706 computations (71.5% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 487 | 0 |
-.f64 | #f | cancellation | 459 | 2 |
cos.f64 | #f | sensitivity | 412 | 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 | 255 | 0 |
*.f64 | #f | n*o | 242 | 0 |
+.f64 | #f | nan-rescue | 236 | 0 |
sqrt.f64 | #f | uflow-rescue | 179 | 0 |
pow.f64 | #f | oflow-rescue | 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 | 123 | 0 |
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | sensitivity | 122 | 1 |
-.f64 | #f | nan-rescue | 118 | 0 |
*.f64 | #f | u*o | 115 | 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 | 95 | 36 |
/.f64 | #f | o/o | 73 | 0 |
*.f64 | #f | n*u | 70 | 0 |
pow.f64 | #f | uflow-rescue | 59 | 0 |
/.f64 | #f | o/n | 57 | 0 |
/.f64 | #f | u/u | 55 | 0 |
+.f64 | #f | cancellation | 55 | 0 |
cos.f64 | (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) | oflow-rescue | 48 | 0 |
| ↳ | (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) | overflow | 48 | |
| ↳ | (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) | overflow | 48 | |
| ↳ | (*.f64 K (+.f64 m n)) | overflow | 48 | |
*.f64 | #f | o*u | 48 | 0 |
/.f64 | #f | n/o | 31 | 0 |
/.f64 | #f | n/u | 25 | 0 |
/.f64 | #f | u/n | 20 | 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 | 7 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1926 | 39 |
| - | 1143 | 5084 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1926 | 1 | 38 |
| - | 1143 | 38 | 5046 |
| number | freq |
|---|---|
| 0 | 5123 |
| 1 | 2675 |
| 2 | 344 |
| 3 | 44 |
| 4 | 5 |
| 5 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 25 | 0 | 0 |
| - | 0 | 0 | 7 |
| 1.9s | 13 178× | 0 | valid |
| 751.0ms | 1 998× | 1 | valid |
| 397.0ms | 786× | 2 | valid |
| 232.0ms | 410× | 3 | valid |
| 6.0ms | 12× | 5 | exit |
Compiled 8 490 to 2 164 computations (74.5% saved)
ival-mult: 462.0ms (19.9% of total)ival-tan: 344.0ms (14.9% of total)ival-div: 252.0ms (10.9% of total)ival-sub: 167.0ms (7.2% of total)ival-pow2: 147.0ms (6.3% of total)ival-sqrt: 145.0ms (6.3% of total)ival-add: 122.0ms (5.3% of total)adjust: 121.0ms (5.2% of total)ival-sin: 105.0ms (4.5% of total)ival-exp: 99.0ms (4.3% of total)ival-pow: 70.0ms (3% of total)ival-cos: 63.0ms (2.7% of total)ival-acos: 45.0ms (1.9% of total)ival-pi: 42.0ms (1.8% of total)ival-neg: 25.0ms (1.1% of total)ival-hypot: 24.0ms (1% of total)exact: 19.0ms (0.8% of total)ival-true: 16.0ms (0.7% of total)ival-log: 14.0ms (0.6% of total)ival-asin: 8.0ms (0.3% of total)const: 8.0ms (0.3% of total)ival-assert: 7.0ms (0.3% of total)ival-fabs: 5.0ms (0.2% of total)ival-atan: 5.0ms (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)
10104 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 271.0ms | l | @ | inf | (/ (* 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) |
| 80.0ms | l | @ | 0 | (* l (sqrt (* (PI) (sqrt (PI))))) |
| 70.0ms | f | @ | -inf | (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4)) |
| 59.0ms | f | @ | -inf | (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) |
| 52.0ms | U* | @ | inf | (sqrt (* (+ (* (/ l Om) (+ (* l (/ (* n (- U* U)) Om)) (* l -2))) t) 2)) |
| 287× | left-value |
| 219× | binary-search |
| 201× | narrow-enough |
| 18× | predicate-same |
| 2.9s | 15 760× | 0 | valid |
| 646.0ms | 4 661× | 0 | invalid |
| 105.0ms | 380× | 1 | valid |
| 80.0ms | 94× | 3 | valid |
| 48.0ms | 166× | 2 | valid |
| 14.0ms | 67× | 1 | invalid |
| 1.0ms | 5× | 2 | invalid |
Compiled 79 108 to 51 752 computations (34.6% saved)
ival-mult: 669.0ms (24.6% of total)ival-div: 575.0ms (21.1% of total)ival-pow: 393.0ms (14.5% of total)ival-pow2: 208.0ms (7.7% of total)ival-add: 194.0ms (7.1% of total)ival-tan: 174.0ms (6.4% of total)ival-sin: 138.0ms (5.1% of total)ival-sub: 123.0ms (4.5% of total)ival-sqrt: 59.0ms (2.2% of total)ival-neg: 48.0ms (1.8% of total)ival-exp: 33.0ms (1.2% of total)adjust: 29.0ms (1.1% of total)exact: 20.0ms (0.7% of total)ival-true: 16.0ms (0.6% of total)ival-cos: 13.0ms (0.5% of total)const: 9.0ms (0.3% of total)ival-assert: 8.0ms (0.3% of total)ival-atan: 5.0ms (0.2% of total)ival-fabs: 4.0ms (0.1% of total)ival-pi: 1.0ms (0% of total)Loading profile data...