Herbie run
| Date: | Wednesday, May 29th, 2024 |
|---|---|
| Commit: | 7fc69e33 on explanations-trifurcate |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024150 |
| 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: 7.8min)
| 44.7s | 221046× | 0 | valid |
| 12.6s | 29166× | 1 | valid |
| 11.3s | 65742× | 0 | invalid |
| 5.1s | 14175× | 1 | invalid |
| 3.9s | 6668× | 2 | valid |
| 3.5s | 6379× | 3 | valid |
| 1.1s | 926× | 4 | valid |
| 439.0ms | 958× | 2 | invalid |
| 97.0ms | 240× | 0 | unsamplable |
| 6.0ms | 7× | 5 | valid |
| 5.0ms | 7× | 5 | exit |
ival-mult: 17.1s (27.8% of total)ival-div: 9.7s (15.6% of total)ival-pow: 7.0s (11.4% of total)ival-sub: 4.8s (7.8% of total)ival-add: 3.9s (6.3% of total)ival-tan: 3.7s (5.9% of total)ival-sqrt: 2.8s (4.6% of total)ival-exp: 2.3s (3.8% of total)ival-sin: 2.2s (3.6% of total)backward-pass: 1.9s (3.1% of total)ival-cos: 1.2s (1.9% of total)ival-acos: 849.0ms (1.4% of total)...c/correct-round.rkt:121:19: 820.0ms (1.3% of total)ival-pi: 702.0ms (1.1% of total)const: 701.0ms (1.1% of total)ival-neg: 668.0ms (1.1% of total)ival-log: 490.0ms (0.8% of total)ival-asin: 410.0ms (0.7% of total)ival-<: 193.0ms (0.3% of total)ival-fabs: 105.0ms (0.2% of total)ival-atan: 92.0ms (0.1% of total)ival-and: 10.0ms (0% of total)| 286× | egg-herbie |
| 110321× | fma-define |
| 64538× | times-frac |
| 62652× | fmm-def |
| 61128× | *-commutative |
| 58146× | distribute-lft-in |
| 71× | saturated |
| 215× | node limit |
| 55146× | fma-define |
| 47009× | log1p-expm1-u |
| 37660× | times-frac |
| 36276× | expm1-log1p-u |
| 35802× | *-commutative |
| 7× | saturated |
| 186× | node limit |
| 30× | fuel |
| 1× | unsound |
| 2× | done |
Compiled 52016 to 15062 computations (71% saved)
| 10.4s | 20937× | 0 | valid |
| 5.6s | 4324× | 1 | valid |
| 4.2s | 706× | 5 | exit |
| 3.5s | 4608× | 0 | invalid |
| 1.8s | 747× | 2 | valid |
| 950.0ms | 257× | 3 | valid |
| 593.0ms | 216× | 3 | invalid |
| 467.0ms | 64× | 4 | valid |
| 376.0ms | 145× | 2 | invalid |
| 230.0ms | 204× | 1 | invalid |
| 210.0ms | 301× | 0 | unsamplable |
| 33.0ms | 3× | 5 | valid |
Compiled 39901 to 4529 computations (88.6% saved)
ival-mult: 3.7s (21.2% of total)ival-pow: 2.3s (12.9% of total)ival-tan: 2.1s (12.1% of total)ival-div: 2.1s (11.9% of total)ival-sin: 1.3s (7.2% of total)backward-pass: 1.2s (6.6% of total)ival-add: 972.0ms (5.5% of total)ival-sqrt: 917.0ms (5.2% of total)ival-sub: 703.0ms (4% of total)ival-log: 543.0ms (3.1% of total)ival-exp: 499.0ms (2.8% of total)ival-cos: 286.0ms (1.6% of total)ival-neg: 232.0ms (1.3% of total)...c/correct-round.rkt:121:19: 209.0ms (1.2% of total)ival-cbrt: 190.0ms (1.1% of total)ival-acos: 138.0ms (0.8% of total)const: 120.0ms (0.7% of total)ival-asin: 49.0ms (0.3% of total)ival-pi: 43.0ms (0.2% of total)ival-atan: 40.0ms (0.2% of total)ival-fabs: 9.0ms (0.1% of total)| 127× | batch-egg-rewrite |
| 71608× | log1p-expm1-u |
| 53137× | expm1-log1p-u |
| 33998× | add-exp-log |
| 33786× | pow1 |
| 32959× | add-log-exp |
| 126× | node limit |
| 1× | unsound |
Compiled 160521 to 89574 computations (44.2% saved)
Compiled 3604530 to 488023 computations (86.5% saved)
156 calls:
| 1.4s | l |
| 1.2s | k |
| 1.1s | h |
| 804.0ms | t |
| 571.0ms | F |
Compiled 9166 to 6722 computations (26.7% saved)
12441 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 369.0ms | l | @ | -inf | (pow (exp (* 1/4 (+ (log (* -2 (* U (* n (+ (* 2 (/ 1 Om)) (/ (* n (- U U*)) (pow Om 2))))))) (* -2 (log (/ 1 l)))))) 2) |
| 351.0ms | Om | @ | 0 | (sqrt (* (* 2 n) (+ (* -1 (/ (+ (* 2 (* U (pow l 2))) (/ (* U (* (pow l 2) (* n (- U U*)))) Om)) Om)) (* U t)))) |
| 190.0ms | U | @ | -inf | (+ (* 2 (pow l 2)) (/ (* (pow l 2) (* n (- U U*))) Om)) |
| 190.0ms | Ec | @ | 0 | (+ (/ NdChar (+ 1 (exp (/ (+ EDonor (+ mu (- Vef Ec))) KbT)))) (/ NaChar (+ 1 (exp (/ Ev KbT))))) |
| 180.0ms | l | @ | 0 | (cbrt (sqrt l)) |
| 334× | binary-search |
| 99× | left-value |
| 15× | predicate-same |
| 319× | narrow-enough |
| 8.0s | 34563× | 0 | valid |
| 2.0s | 8475× | 0 | invalid |
| 596.0ms | 1330× | 1 | valid |
| 432.0ms | 756× | 2 | valid |
| 85.0ms | 33× | 4 | valid |
| 42.0ms | 86× | 3 | valid |
| 17.0ms | 62× | 1 | invalid |
| 14.0ms | 41× | 2 | invalid |
Compiled 94689 to 67957 computations (28.2% saved)
ival-mult: 1.9s (25% of total)ival-pow: 1.9s (24.2% of total)ival-div: 1.5s (20.1% of total)ival-add: 472.0ms (6.1% of total)ival-sin: 409.0ms (5.3% of total)ival-tan: 349.0ms (4.5% of total)ival-sub: 330.0ms (4.3% of total)ival-sqrt: 186.0ms (2.4% of total)ival-exp: 146.0ms (1.9% of total)ival-neg: 138.0ms (1.8% of total)backward-pass: 138.0ms (1.8% of total)const: 87.0ms (1.1% of total)ival-cos: 53.0ms (0.7% of total)...c/correct-round.rkt:121:19: 30.0ms (0.4% of total)ival-atan: 13.0ms (0.2% of total)ival-fabs: 5.0ms (0.1% of total)ival-asin: 3.0ms (0% of total)ival-pi: 3.0ms (0% of total)ival-log: 2.0ms (0% of total)| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 456 | 0 |
-.f64 | #f | cancellation | 440 | 1 |
cos.f64 | #f | sensitivity | 405 | 0 |
+.f64 | #f | nan-rescue | 289 | 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 |
sqrt.f64 | #f | uflow-rescue | 189 | 0 |
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | sensitivity | 134 | 0 |
*.f64 | #f | u*o | 129 | 0 |
-.f64 | #f | nan-rescue | 122 | 0 |
pow.f64 | #f | oflow-rescue | 115 | 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 | 113 | 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 | 90 | 26 |
/.f64 | #f | o/o | 74 | 0 |
/.f64 | #f | o/n | 70 | 0 |
+.f64 | #f | cancellation | 66 | 1 |
*.f64 | #f | o*u | 63 | 0 |
cos.f64 | (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) | oflow-rescue | 53 | 0 |
| ↳ | (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) | overflow | 53 | |
| ↳ | (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) | overflow | 53 | |
| ↳ | (*.f64 K (+.f64 m n)) | overflow | 53 | |
/.f64 | #f | n/o | 51 | 0 |
pow.f64 | #f | uflow-rescue | 50 | 0 |
/.f64 | #f | u/u | 41 | 0 |
*.f64 | #f | n*u | 40 | 0 |
/.f64 | #f | n/u | 32 | 0 |
/.f64 | #f | u/n | 16 | 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 | 10 | 0 |
exp.f64 | #f | sensitivity | 4 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1984 | 42 |
| - | 1120 | 5046 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1984 | 0 | 42 |
| - | 1120 | 28 | 5018 |
| number | freq |
|---|---|
| 0 | 5088 |
| 1 | 2711 |
| 2 | 347 |
| 3 | 42 |
| 4 | 2 |
| 5 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 25 | 0 | 0 |
| - | 1 | 0 | 6 |
| 3.1s | 13120× | 0 | valid |
| 1.3s | 2194× | 1 | valid |
| 516.0ms | 580× | 2 | valid |
| 401.0ms | 418× | 3 | valid |
| 63.0ms | 62× | 4 | valid |
| 9.0ms | 10× | 5 | exit |
Compiled 8626 to 2106 computations (75.6% saved)
ival-mult: 636.0ms (19.7% of total)ival-tan: 479.0ms (14.8% of total)ival-sqrt: 355.0ms (11% of total)ival-div: 341.0ms (10.6% of total)ival-sub: 276.0ms (8.5% of total)ival-pow: 252.0ms (7.8% of total)ival-sin: 198.0ms (6.1% of total)ival-add: 194.0ms (6% of total)backward-pass: 157.0ms (4.9% of total)ival-exp: 88.0ms (2.7% of total)ival-cos: 67.0ms (2.1% of total)const: 42.0ms (1.3% of total)ival-log: 36.0ms (1.1% of total)ival-neg: 31.0ms (1% of total)ival-acos: 30.0ms (0.9% of total)ival-pi: 17.0ms (0.5% of total)...c/correct-round.rkt:121:19: 10.0ms (0.3% of total)ival-asin: 9.0ms (0.3% of total)ival-atan: 6.0ms (0.2% of total)ival-fabs: 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 |
| 19.1% | 18.7% | 79.5% | 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% | 0.4% | 4 |
| 35.8% | 32.3% | 58% | 1.8% | 0% | 7.4% | 0.6% | 5 |
| 40.1% | 36.1% | 54% | 1.8% | 0% | 7.4% | 0.7% | 6 |
| 45.5% | 40.6% | 48.7% | 1.8% | 0% | 8.1% | 0.8% | 7 |
| 47.9% | 42.1% | 45.8% | 1.8% | 0% | 9.5% | 0.8% | 8 |
| 51% | 44.7% | 42.9% | 1.8% | 0% | 9.8% | 0.9% | 9 |
| 52.1% | 45.5% | 41.8% | 1.8% | 0% | 10% | 0.9% | 10 |
| 53.9% | 46.8% | 39.9% | 1.8% | 0% | 10.6% | 1% | 11 |
| 55.7% | 47.9% | 38.2% | 1.8% | 0% | 11.1% | 1% | 12 |
Compiled 866 to 549 computations (36.6% saved)
ival-mult: 2.0s (30.3% of total)ival-pow: 1.4s (21% of total)ival-div: 882.0ms (13.2% of total)ival-add: 661.0ms (9.9% of total)ival-sub: 368.0ms (5.5% of total)ival-sqrt: 277.0ms (4.2% of total)ival-sin: 183.0ms (2.7% of total)ival-acos: 153.0ms (2.3% of total)...c/correct-round.rkt:121:19: 141.0ms (2.1% of total)ival-tan: 133.0ms (2% of total)const: 83.0ms (1.2% of total)ival-cos: 80.0ms (1.2% of total)ival-exp: 75.0ms (1.1% of total)ival-neg: 72.0ms (1.1% of total)ival-<: 29.0ms (0.4% of total)ival-pi: 26.0ms (0.4% of total)ival-asin: 21.0ms (0.3% of total)ival-fabs: 20.0ms (0.3% of total)backward-pass: 17.0ms (0.3% of total)ival-log: 11.0ms (0.2% of total)ival-atan: 4.0ms (0.1% of total)ival-and: 4.0ms (0.1% of total)| 32× | egg-herbie |
| 20054× | fma-define |
| 13409× | fmm-def |
| 8518× | times-frac |
| 7224× | distribute-lft-in |
| 7153× | unsub-neg |
| 9× | saturated |
| 23× | node limit |
Compiled 48120 to 17704 computations (63.2% saved)
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