Herbie run
| Date: | Wednesday, October 2nd, 2024 |
|---|---|
| Commit: | e7d6e0c5 on bhargav-log-space |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024276 |
| 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: 5.4min)
| 1.7min | 225 459× | 0 | valid |
| 1.2min | 22 843× | 1 | valid |
| 28.8s | 12 312× | 1 | invalid |
| 7.2s | 66 112× | 0 | invalid |
| 2.6s | 9 625× | 2 | valid |
| 2.0s | 6 262× | 3 | valid |
| 302.0ms | 1 815× | 1 | exit |
| 143.0ms | 538× | 2 | invalid |
| 27.0ms | 231× | 0 | exit |
| 1.0ms | 3× | 4 | valid |
| 1.0ms | 1× | 5 | exit |
| 0.0ms | 1× | 3 | exit |
ival-neg: 29.7s (20.1% of total)ival-div: 26.0s (17.6% of total)ival-sin: 25.0s (16.9% of total)adjust: 16.2s (10.9% of total)ival-exp: 12.2s (8.3% of total)ival-mult: 9.7s (6.6% of total)ival-pow: 7.1s (4.8% of total)ival-pi: 6.4s (4.3% of total)ival-tan: 3.7s (2.5% of total)ival-sub: 2.5s (1.7% of total)ival-add: 2.1s (1.4% of total)ival-pow2: 1.9s (1.3% of total)ival-sqrt: 1.8s (1.2% of total)ival-cos: 673.0ms (0.5% of total)ival-acos: 505.0ms (0.3% of total)exact: 377.0ms (0.3% of total)const: 353.0ms (0.2% of total)ival-hypot: 327.0ms (0.2% of total)ival-log: 314.0ms (0.2% of total)ival-true: 294.0ms (0.2% of total)ival-tanu: 232.0ms (0.2% of total)ival-assert: 174.0ms (0.1% of total)ival-asin: 162.0ms (0.1% of total)ival-fabs: 90.0ms (0.1% of total)ival-atan: 71.0ms (0% of total)ival-<: 43.0ms (0% of total)ival-and: 12.0ms (0% of total)| 81× | egg-herbie |
| 108× | iter limit |
| 61× | node limit |
| 20× | saturated |
| 71× | iter limit |
| 47× | node limit |
| 7× | fuel |
| 2× | done |
Compiled 6 717 to 3 768 computations (43.9% saved)
Compiled 1 646 614 to 137 169 computations (91.7% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 305 | 0 |
sqrt.f64 | #f | oflow-rescue | 186 | 0 |
+.f64 | #f | cancellation | 73 | 0 |
sqrt.f64 | #f | uflow-rescue | 48 | 0 |
+.f64 | #f | nan-rescue | 32 | 0 |
-.f64 | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) | oflow-left | 30 | 0 |
/.f64 | (/.f64 A (*.f64 V l)) | n/o | 8 | 0 |
| ↳ | (*.f64 V l) | overflow | 26 | |
/.f64 | (/.f64 A (*.f64 V l)) | n/u | 8 | 0 |
| ↳ | (*.f64 V l) | underflow | 24 | |
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 | 5 | 0 |
/.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))))) | o/o | 3 | 0 |
| ↳ | (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) | overflow | 3 | |
| ↳ | (+.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)))) | overflow | 3 | |
| ↳ | (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) | overflow | 3 | |
| ↳ | (-.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)))) | overflow | 3 | |
*.f64 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) | n*u | 3 | 0 |
*.f64 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 548 | 4 |
| - | 127 | 1625 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 548 | 0 | 4 |
| - | 127 | 0 | 1625 |
| number | freq |
|---|---|
| 0 | 1629 |
| 1 | 648 |
| 2 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 4 | 0 | 0 |
| - | 2 | 0 | 3 |
| 469.0ms | 3 967× | 0 | valid |
| 182.0ms | 685× | 1 | valid |
| 26.0ms | 75× | 2 | valid |
| 11.0ms | 30× | 3 | valid |
Compiled 7 791 to 2 894 computations (62.9% saved)
ival-mult: 119.0ms (27.1% of total)ival-div: 66.0ms (15% of total)ival-sqrt: 44.0ms (10% of total)ival-exp: 41.0ms (9.3% of total)ival-sub: 39.0ms (8.9% of total)ival-add: 38.0ms (8.6% of total)adjust: 20.0ms (4.6% of total)ival-neg: 14.0ms (3.2% of total)ival-cos: 14.0ms (3.2% of total)ival-log: 12.0ms (2.7% of total)ival-pi: 10.0ms (2.3% of total)exact: 8.0ms (1.8% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)ival-tanu: 2.0ms (0.5% of total)ival-tan: 1.0ms (0.2% of total)ival-sin: 1.0ms (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)
| 72× | iter limit |
| 36× | node limit |
| 1.6s | 6 225× | 0 | valid |
| 978.0ms | 1 457× | 1 | valid |
| 328.0ms | 356× | 2 | valid |
| 198.0ms | 822× | 0 | invalid |
| 137.0ms | 23× | 5 | exit |
| 99.0ms | 74× | 3 | valid |
| 66.0ms | 112× | 1 | invalid |
| 52.0ms | 64× | 2 | invalid |
| 24.0ms | 12× | 4 | exit |
| 21.0ms | 46× | 0 | exit |
| 15.0ms | 25× | 1 | exit |
Compiled 22 166 to 2 622 computations (88.2% saved)
ival-mult: 742.0ms (29% of total)ival-div: 516.0ms (20.2% of total)ival-add: 253.0ms (9.9% of total)ival-sqrt: 226.0ms (8.8% of total)adjust: 169.0ms (6.6% of total)ival-log: 138.0ms (5.4% of total)ival-sub: 119.0ms (4.7% of total)ival-exp: 104.0ms (4.1% of total)ival-neg: 62.0ms (2.4% of total)ival-pow: 60.0ms (2.3% of total)exact: 27.0ms (1.1% of total)const: 26.0ms (1% of total)ival-cos: 26.0ms (1% of total)ival-cosh: 20.0ms (0.8% of total)ival-pi: 19.0ms (0.7% of total)ival-tanh: 18.0ms (0.7% of total)ival-sinh: 12.0ms (0.5% of total)ival-true: 10.0ms (0.4% of total)ival-assert: 6.0ms (0.2% of total)ival-pow2: 3.0ms (0.1% of total)ival-expm1: 2.0ms (0.1% of total)50 calls:
| 185.0ms | (+.f64 (/.f64 NdChar (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (-.f64 Ec Vef) EDonor) mu)) KbT)))) (/.f64 NaChar (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (+.f64 (+.f64 (+.f64 Ev Vef) EAccept) (neg.f64 mu)) KbT))))) |
| 172.0ms | KbT |
| 132.0ms | Ev |
| 125.0ms | NdChar |
| 122.0ms | Vef |
Compiled 2 906 to 3 061 computations (-5.3% saved)
312 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 105.0ms | f | @ | inf | ((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* 1/4 (PI)) (PI) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))) (neg (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))))) (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI))))))))) (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* (cosh (* f (* 1/4 (PI)))) 2) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) |
| 82.0ms | f | @ | inf | ((pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (PI) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (PI) f) (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (* (* (* (PI) 2) 2) 1/192) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (+ (* (/ -4 (PI)) (log (* (cosh (* f (* 1/4 (PI)))) 2))) (* (/ -4 (PI)) (log (/ 1/2 (sinh (* f (* 1/4 (PI)))))))) (/ -4 (PI)) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (tanh (* f (* 1/4 (PI))))) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI)))))) (* f (* 1/4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) f) (sqrt (PI)) (log (/ 1/2 (sinh (* f (* 1/4 (PI)))))) (* (/ -4 (PI)) (log (/ 1/2 (sinh (* f (* 1/4 (PI)))))))) |
| 65.0ms | f | @ | -inf | ((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* 1/4 (PI)) (PI) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))) (neg (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI)))))))))) (* (/ 1 (/ (PI) 4)) (/ 1 (/ 1 (neg (log (tanh (* f (* 1/4 (PI))))))))) (- (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) (/ (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI))) (log (* (cosh (* f (* 1/4 (PI)))) 2)) (* (cosh (* f (* 1/4 (PI)))) 2) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ (log (* (sinh (* f (* 1/4 (PI)))) 2)) (* -1/4 (PI)))) |
| 50.0ms | f | @ | inf | ((* (/ 2 (sqrt (PI))) (* (log (tanh (* (* 1/4 (PI)) f))) (/ 2 (sqrt (PI))))) (/ 2 (sqrt (PI))) (sqrt (PI)) (PI) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (/ 4 (sqrt (PI))) (/ (neg (sqrt (PI))) (log (tanh (* (* 1/4 (PI)) f))))) (neg (/ (/ 4 (sqrt (PI))) (/ (neg (sqrt (PI))) (log (tanh (* (* 1/4 (PI)) f)))))) (/ 4 (sqrt (PI))) (/ (+ (* (/ (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (sqrt (PI))) (neg (PI))) (* (sqrt (PI)) (* (log (* (cosh (* (* 1/4 (PI)) f)) 2)) 4))) (* (sqrt (PI)) (neg (PI)))) (+ (* (/ (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (sqrt (PI))) (neg (PI))) (* (sqrt (PI)) (* (log (* (cosh (* (* 1/4 (PI)) f)) 2)) 4))) (/ (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (sqrt (PI))) (* (log (/ 1/2 (sinh (* (* 1/4 (PI)) f)))) -4) (log (tanh (* (* 1/4 (PI)) f))) (tanh (* f (* 1/4 (PI)))) (* 1/12 (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (* 1/12 (PI)) f) (/ (neg (sqrt (PI))) (log (tanh (* (* 1/4 (PI)) f))))) |
| 49.0ms | p | @ | 0 | ((* (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (pow (* (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) 1/4) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (* (/ p x) (/ p x)) (/ p x) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (+ (* (/ 1/4 x) (/ (* -12 (pow p 4)) x)) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (+ (* (/ 1/4 x) (/ (* -12 (pow p 4)) x)) (* p p)) (* x x)) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (/ 2 x) (* p p)) x)) |
| 9× | egg-herbie |
| 18× | iter limit |
| 13× | node limit |
| 5× | saturated |
Compiled 9 398 to 3 650 computations (61.2% saved)
Compiled 28 463 to 18 488 computations (35% saved)
| 61× | left-value |
| 24× | binary-search |
| 24× | narrow-enough |
| 235.0ms | 1 850× | 0 | valid |
| 25.0ms | 126× | 1 | valid |
| 10.0ms | 154× | 0 | invalid |
| 6.0ms | 29× | 1 | invalid |
| 2.0ms | 8× | 2 | valid |
| 1.0ms | 4× | 2 | invalid |
Compiled 6 110 to 6 698 computations (-9.6% saved)
ival-div: 47.0ms (24.8% of total)ival-add: 46.0ms (24.3% of total)ival-sub: 28.0ms (14.8% of total)ival-exp: 21.0ms (11.1% of total)ival-mult: 16.0ms (8.4% of total)ival-neg: 14.0ms (7.4% of total)ival-sqrt: 9.0ms (4.8% of total)adjust: 5.0ms (2.6% of total)ival-true: 2.0ms (1.1% of total)ival-assert: 1.0ms (0.5% of total)exact: 1.0ms (0.5% of total)Loading profile data...