Herbie run
| Date: | Monday, October 14th, 2024 |
|---|---|
| Commit: | 01116aa6 on bhargav-log-space |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024288 |
| 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: 5.6min)
| 2.3min | 225 418× | 0 | valid |
| 1.1min | 22 932× | 1 | valid |
| 37.8s | 12 485× | 1 | invalid |
| 7.1s | 65 742× | 0 | invalid |
| 2.6s | 9 663× | 2 | valid |
| 1.9s | 6 178× | 3 | valid |
| 318.0ms | 1 868× | 1 | exit |
| 137.0ms | 507× | 2 | invalid |
| 22.0ms | 184× | 0 | exit |
| 1.0ms | 3× | 3 | exit |
| 0.0ms | 1× | 4 | valid |
ival-sin: 42.0s (19% of total)ival-neg: 39.9s (18.1% of total)ival-div: 31.1s (14% of total)ival-exp: 21.3s (9.6% of total)ival-tan: 18.1s (8.2% of total)ival-mult: 15.8s (7.2% of total)ival-pow: 13.1s (5.9% of total)ival-sub: 11.2s (5% of total)ival-add: 11.0s (5% of total)adjust: 5.5s (2.5% of total)ival-log: 4.9s (2.2% of total)ival-pow2: 1.9s (0.9% of total)ival-sqrt: 1.8s (0.8% of total)ival-cos: 663.0ms (0.3% of total)ival-acos: 496.0ms (0.2% of total)exact: 377.0ms (0.2% of total)const: 367.0ms (0.2% of total)ival-hypot: 330.0ms (0.1% of total)ival-pi: 300.0ms (0.1% of total)ival-true: 298.0ms (0.1% of total)ival-tanu: 184.0ms (0.1% of total)ival-assert: 182.0ms (0.1% of total)ival-asin: 165.0ms (0.1% of total)ival-fabs: 90.0ms (0% of total)ival-atan: 71.0ms (0% of total)ival-<: 45.0ms (0% of total)ival-and: 13.0ms (0% of total)| 79× | egg-herbie |
| 105× | iter limit |
| 58× | node limit |
| 21× | saturated |
| 77× | iter limit |
| 50× | node limit |
| 7× | fuel |
| 2× | done |
Compiled 8 500 to 4 823 computations (43.3% saved)
Compiled 1 469 911 to 129 731 computations (91.2% saved)
| 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)
| 71× | iter limit |
| 35× | node limit |
| 1.6s | 6 453× | 0 | valid |
| 847.0ms | 1 447× | 1 | valid |
| 196.0ms | 263× | 2 | valid |
| 161.0ms | 658× | 0 | invalid |
| 157.0ms | 12× | 5 | exit |
| 48.0ms | 6× | 4 | valid |
| 41.0ms | 38× | 2 | invalid |
| 37.0ms | 47× | 1 | invalid |
| 28.0ms | 36× | 3 | valid |
Compiled 19 480 to 2 399 computations (87.7% saved)
ival-mult: 662.0ms (29.5% of total)ival-div: 444.0ms (19.8% of total)ival-add: 227.0ms (10.1% of total)ival-sqrt: 207.0ms (9.2% of total)ival-log: 166.0ms (7.4% of total)ival-sub: 110.0ms (4.9% of total)adjust: 107.0ms (4.8% of total)ival-exp: 104.0ms (4.6% of total)ival-neg: 62.0ms (2.8% of total)ival-tanh: 32.0ms (1.4% of total)const: 27.0ms (1.2% of total)exact: 25.0ms (1.1% of total)ival-cos: 24.0ms (1.1% of total)ival-pi: 21.0ms (0.9% of total)ival-true: 10.0ms (0.4% of total)ival-pow: 8.0ms (0.4% of total)ival-assert: 7.0ms (0.3% of total)ival-cbrt: 3.0ms (0.1% of total)50 calls:
| 261.0ms | (+.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))))) |
| 230.0ms | t |
| 209.0ms | Vef |
| 179.0ms | Ev |
| 169.0ms | NaChar |
Compiled 3 196 to 3 462 computations (-8.3% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 302 | 1 |
sqrt.f64 | #f | oflow-rescue | 174 | 0 |
+.f64 | #f | cancellation | 80 | 0 |
sqrt.f64 | #f | uflow-rescue | 35 | 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 | 33 | 0 |
+.f64 | #f | nan-rescue | 32 | 0 |
/.f64 | #f | n/o | 11 | 0 |
/.f64 | (/.f64 A (*.f64 V l)) | n/u | 8 | 0 |
| ↳ | (*.f64 V l) | underflow | 25 | |
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 | 8 | 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 | 6 | 0 |
| ↳ | (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) | overflow | 6 | |
| ↳ | (+.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 | 6 | |
| ↳ | (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) | overflow | 6 | |
| ↳ | (-.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 | 6 | |
*.f64 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) | n*o | 2 | 0 |
exp.f64 | #f | sensitivity | 2 | 0 |
*.f64 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) | n*u | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 552 | 5 |
| - | 110 | 1637 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 552 | 0 | 5 |
| - | 110 | 1 | 1636 |
| number | freq |
|---|---|
| 0 | 1642 |
| 1 | 633 |
| 2 | 25 |
| 3 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5 | 0 | 0 |
| - | 1 | 0 | 3 |
| 456.0ms | 3 819× | 0 | valid |
| 173.0ms | 685× | 1 | valid |
| 40.0ms | 108× | 2 | valid |
| 7.0ms | 18× | 3 | valid |
Compiled 10 977 to 4 071 computations (62.9% saved)
ival-mult: 119.0ms (27.1% of total)ival-div: 65.0ms (14.8% of total)ival-sqrt: 45.0ms (10.2% of total)ival-sub: 40.0ms (9.1% of total)ival-exp: 40.0ms (9.1% of total)ival-add: 40.0ms (9.1% of total)adjust: 21.0ms (4.8% of total)ival-log: 15.0ms (3.4% of total)ival-neg: 14.0ms (3.2% of total)ival-cos: 13.0ms (3% of total)ival-pi: 9.0ms (2% 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-tan: 0.0ms (0% of total)ival-tanu: 0.0ms (0% of total)ival-pow: 0.0ms (0% of total)ival-pow2: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)Compiled 26 686 to 18 658 computations (30.1% saved)
| 9× | egg-herbie |
| 18× | iter limit |
| 13× | node limit |
| 5× | saturated |
Compiled 11 848 to 4 114 computations (65.3% saved)
309 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | 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) (/ (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))))))) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (pow (cbrt (PI)) -2) (cbrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* (cbrt (PI)) 1/4)) (* (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))))) (/ (/ 4 (PI)) f) (sqrt (PI))) |
| 42.0ms | f | @ | inf | ((* (/ 2 (sqrt (PI))) (* (log (tanh (* (* 1/4 (PI)) f))) (/ 2 (sqrt (PI))))) (/ 2 (sqrt (PI))) (sqrt (PI)) (PI) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ 1 (/ 1/4 (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (PI)))) (/ 1/4 (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (PI))) (neg (/ 1 (/ 1/4 (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (PI))))) (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (PI)) (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (* (* (* (PI) 2) 2) 1/192) (log (/ 1 (tanh (* f (* 1/4 (PI)))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI)))))))) (* (log (tanh (* (* 1/4 (PI)) f))) (/ 2 (sqrt (PI)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI))))))) (/ 1 (tanh (* f (* 1/4 (PI)))))) |
| 41.0ms | 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) (/ (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))))))) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (pow (cbrt (PI)) -2) (cbrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* (cbrt (PI)) 1/4)) (* (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))))) (/ (/ 4 (PI)) f) (sqrt (PI))) |
| 39.0ms | f | @ | inf | ((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (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)))))))) (- (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))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) |
| 38.0ms | f | @ | -inf | ((* (/ 2 (sqrt (PI))) (* (log (tanh (* (* 1/4 (PI)) f))) (/ 2 (sqrt (PI))))) (/ 2 (sqrt (PI))) (sqrt (PI)) (PI) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ 1 (/ 1/4 (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (PI)))) (/ 1/4 (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (PI))) (neg (/ 1 (/ 1/4 (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (PI))))) (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (PI)) (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (* (* (* (PI) 2) 2) 1/192) (log (/ 1 (tanh (* f (* 1/4 (PI)))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI)))))))) (* (log (tanh (* (* 1/4 (PI)) f))) (/ 2 (sqrt (PI)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI))))))) (/ 1 (tanh (* f (* 1/4 (PI)))))) |
| 61× | left-value |
| 49× | binary-search |
| 49× | narrow-enough |
| 325.0ms | 2 500× | 0 | valid |
| 80.0ms | 388× | 1 | valid |
| 26.0ms | 128× | 1 | invalid |
| 12.0ms | 40× | 2 | valid |
| 11.0ms | 152× | 0 | invalid |
| 6.0ms | 21× | 2 | invalid |
Compiled 12 782 to 13 248 computations (-3.6% saved)
ival-add: 74.0ms (22.9% of total)ival-div: 71.0ms (22% of total)ival-sub: 47.0ms (14.5% of total)ival-mult: 37.0ms (11.5% of total)ival-exp: 28.0ms (8.7% of total)ival-sqrt: 22.0ms (6.8% of total)adjust: 18.0ms (5.6% of total)ival-neg: 18.0ms (5.6% of total)ival-true: 3.0ms (0.9% of total)exact: 3.0ms (0.9% of total)ival-assert: 2.0ms (0.6% of total)Loading profile data...