
| Date: | Saturday, November 16th, 2024 |
|---|---|
| Commit: | 1a83c9f5 on main |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024321 |
| Parameters: | 256 points for 4 iterations |
| Flags: | localize:costslocalize:errorsreduce:regimesreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs default |
Time bar (total: 8.3min)
| 54.5s | 438 446× | 0 | valid |
| 7.2s | 22 627× | 1 | valid |
| 4.8s | 8 674× | 2 | valid |
| 2.7s | 4 391× | 0 | invalid |
| 1.6s | 10 007× | 0 | exit |
| 396.0ms | 913× | 3 | valid |
ival-mult: 14.3s (28.5% of total)ival-add: 5.4s (10.6% of total)const: 5.3s (10.6% of total)ival-div: 4.4s (8.8% of total)ival-exp: 2.8s (5.5% of total)ival-log: 2.8s (5.5% of total)ival-hypot: 2.5s (4.9% of total)ival-sub: 2.0s (4% of total)ival-asin: 1.5s (2.9% of total)adjust: 1.3s (2.6% of total)ival-atan2: 1.0s (2% of total)ival-sin: 1.0s (2% of total)ival-sqrt: 925.0ms (1.8% of total)ival-cos: 888.0ms (1.8% of total)ival-sinu: 513.0ms (1% of total)ival-pi: 400.0ms (0.8% of total)exact: 371.0ms (0.7% of total)ival-pow: 369.0ms (0.7% of total)ival->: 346.0ms (0.7% of total)ival-acosh: 316.0ms (0.6% of total)ival-true: 287.0ms (0.6% of total)ival-asinh: 280.0ms (0.6% of total)ival-<=: 226.0ms (0.4% of total)ival-fabs: 226.0ms (0.4% of total)ival-assert: 201.0ms (0.4% of total)ival-neg: 174.0ms (0.3% of total)ival-atanh: 158.0ms (0.3% of total)ival->=: 140.0ms (0.3% of total)ival-cosu: 88.0ms (0.2% of total)ival-and: 79.0ms (0.2% of total)| 351× | iter limit |
| 223× | node limit |
| 37× | fuel |
| 20× | done |
| 3× | saturated |
| 2× | unsound |
Compiled 69 089 to 23 175 computations (66.5% saved)
| 28.0s | 42 355× | 0 | valid |
| 18.5s | 1 726× | 2 | valid |
| 5.6s | 4 410× | 1 | valid |
| 1.0s | 2 698× | 0 | invalid |
| 582.0ms | 271× | 5 | exit |
| 168.0ms | 118× | 3 | valid |
| 168.0ms | 134× | 1 | exit |
Compiled 81 515 to 6 311 computations (92.3% saved)
ival-mult: 23.9s (66.9% of total)ival-add: 2.0s (5.7% of total)ival-div: 1.8s (4.9% of total)adjust: 1.2s (3.4% of total)const: 1.0s (2.8% of total)ival-log: 896.0ms (2.5% of total)ival-sub: 757.0ms (2.1% of total)ival-pow: 649.0ms (1.8% of total)ival-exp: 576.0ms (1.6% of total)ival-sqrt: 557.0ms (1.6% of total)ival-hypot: 501.0ms (1.4% of total)ival-asin: 420.0ms (1.2% of total)ival-cos: 209.0ms (0.6% of total)ival-sin: 180.0ms (0.5% of total)ival-neg: 179.0ms (0.5% of total)ival-acos: 164.0ms (0.5% of total)ival-atan2: 110.0ms (0.3% of total)ival-pow2: 105.0ms (0.3% of total)exact: 78.0ms (0.2% of total)ival-log1p: 77.0ms (0.2% of total)ival-fabs: 75.0ms (0.2% of total)ival-copysign: 67.0ms (0.2% of total)ival-true: 43.0ms (0.1% of total)ival-pi: 34.0ms (0.1% of total)ival-cosh: 34.0ms (0.1% of total)ival-assert: 23.0ms (0.1% of total)ival-sinu: 14.0ms (0% of total)ival-cosu: 11.0ms (0% of total)ival-cbrt: 4.0ms (0% of total)ival-e: 2.0ms (0% of total)| 461× | egg-herbie |
| 603× | iter limit |
| 320× | node limit |
| 145× | saturated |
| 426× | iter limit |
| 193× | node limit |
| 9× | saturated |
| 3× | unsound |
Compiled 9 347 886 to 564 864 computations (94% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 1174 | 0 |
-.f64 | #f | cancellation | 748 | 1 |
/.f64 | #f | o/o | 684 | 0 |
sin.f64 | #f | sensitivity | 191 | 0 |
/.f64 | #f | o/n | 190 | 0 |
cos.f64 | (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) | sensitivity | 188 | 0 |
sqrt.f32 | #f | oflow-rescue | 182 | 0 |
+.f64 | #f | cancellation | 155 | 1 |
sqrt.f64 | #f | uflow-rescue | 146 | 0 |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | sensitivity | 134 | 0 |
-.f64 | #f | nan-rescue | 125 | 0 |
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 119 | 0 |
/.f64 | #f | n/o | 90 | 0 |
/.f64 | #f | u/u | 63 | 0 |
*.f64 | #f | n*u | 63 | 0 |
+.f64 | #f | nan-rescue | 58 | 0 |
*.f64 | #f | n*o | 44 | 0 |
/.f64 | #f | u/n | 37 | 0 |
/.f64 | #f | n/u | 13 | 0 |
*.f64 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) | o*u | 3 | 0 |
| ↳ | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) | overflow | 3 | |
| ↳ | (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) | overflow | 3 | |
| ↳ | (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))) | underflow | 3 | |
exp.f64 | #f | sensitivity | 2 | 0 |
log.f32 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 1 | |
| ↳ | (*.f32 x x) | overflow | 131 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 131 | |
log.f64 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) | overflow | 1 | |
| ↳ | (-.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 126 | |
| ↳ | (*.f64 x x) | overflow | 126 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3610 | 76 |
| - | 229 | 10677 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3610 | 0 | 76 |
| - | 229 | 2 | 10675 |
| number | freq |
|---|---|
| 0 | 10753 |
| 1 | 3267 |
| 2 | 572 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 0 | 1 |
| - | 1 | 0 | 18 |
| 19.0s | 25 890× | 0 | valid |
| 1.1s | 2 352× | 1 | valid |
| 641.0ms | 872× | 2 | valid |
| 27.0ms | 64× | 3 | valid |
| 3.0ms | 6× | 5 | exit |
Compiled 13 558 to 2 283 computations (83.2% saved)
ival-mult: 1.1s (28.6% of total)ival-add: 744.0ms (19.4% of total)ival-div: 297.0ms (7.7% of total)ival-log: 281.0ms (7.3% of total)ival-hypot: 215.0ms (5.6% of total)const: 203.0ms (5.3% of total)ival-exp: 182.0ms (4.7% of total)adjust: 164.0ms (4.3% of total)ival-sub: 164.0ms (4.3% of total)ival-asin: 88.0ms (2.3% of total)ival-cos: 76.0ms (2% of total)ival-sqrt: 68.0ms (1.8% of total)ival-sin: 56.0ms (1.5% of total)ival-atan2: 51.0ms (1.3% of total)ival-true: 26.0ms (0.7% of total)ival-pow: 21.0ms (0.5% of total)exact: 20.0ms (0.5% of total)ival-pi: 17.0ms (0.4% of total)ival-fabs: 16.0ms (0.4% of total)ival-assert: 13.0ms (0.3% of total)ival-copysign: 11.0ms (0.3% of total)ival-neg: 11.0ms (0.3% of total)ival-log1p: 7.0ms (0.2% of total)ival-sinu: 7.0ms (0.2% of total)ival-cosu: 6.0ms (0.2% of total)| 57× | egg-herbie |
| 114× | iter limit |
| 77× | saturated |
| 37× | node limit |
Compiled 90 282 to 15 311 computations (83% saved)
132 calls:
| 1.0s | x |
| 963.0ms | re |
| 869.0ms | im |
| 800.0ms | y.re |
| 517.0ms | y.im |
Compiled 14 414 to 9 728 computations (32.5% saved)
1236 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 502.0ms | y.im | @ | -inf | ((+ (* (/ y.re (+ (* y.im y.im) (* y.re y.re))) x.im) (* (neg y.im) (/ x.re (+ (* y.im y.im) (* y.re y.re))))) (/ y.re (+ (* y.im y.im) (* y.re y.re))) (+ (* y.im y.im) (* y.re y.re)) (* y.re y.re) (/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ x.im y.re) (/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im))) (* (neg x.re) (/ y.im (+ (* y.im y.im) (* y.re y.re)))) (neg x.re) (/ y.im (+ (* y.im y.im) (* y.re y.re))) (/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (- x.im (/ (* x.re y.im) y.re)) y.re) (- x.im (/ (* x.re y.im) y.re)) (/ (* x.re y.im) y.re) (/ 1 (/ (+ (* y.im y.im) (* y.re y.re)) (+ (* (neg y.im) x.re) (* x.im y.re)))) (/ (+ (* y.im y.im) (* y.re y.re)) (+ (* (neg y.im) x.re) (* x.im y.re))) (* (neg y.im) (/ x.re (+ (* y.im y.im) (* y.re y.re)))) (/ x.re (+ (* y.im y.im) (* y.re y.re))) (* x.re y.im) (+ (* (neg y.im) x.re) (* x.im y.re))) |
| 357.0ms | x.re | @ | -inf | ((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (* (* x.im x.im) 1/2) (/ y.im (* x.re x.re))) (+ (* (log x.re) y.im) (* (atan2 x.im x.re) y.re))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (cos (* (atan2 x.im x.re) y.re)) (* (atan2 x.im x.re) y.re) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin (* (atan2 x.im x.re) y.re))) |
| 337.0ms | x | @ | 0 | ((+ (* (+ (* (+ (* (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (pow (+ (* (+ (* (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) -2)) (neg (* (pow (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) x)) (+ (* 3275911/10000000 (fabs x)) 1)) 3) (/ (+ (* (+ (* (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (pow (+ (* (+ (* (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) 2))))) (/ (+ (* (+ (* (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (pow (+ (* (+ (* (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) 2)) (* (pow (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) x)) (+ (* 3275911/10000000 (fabs x)) 1)) 3) (/ (+ (* (+ (* (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (pow (+ (* (+ (* (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) x)) (+ (* 3275911/10000000 (fabs x)) 1))) 1) 2))) (neg (* (pow (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) x)) (+ (* 3275911/10000000 (fabs x)) 1)) 3) (/ (+ (* (+ (* (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 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31853699/125000000) (+ (* -3275911/10000000 (fabs x)) -1)) (pow (exp x) x))))))) (neg (log (+ 1 (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (+ (* -3275911/10000000 (fabs x)) -1)) (pow (exp x) x))))) (log (+ 1 (/ (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (+ (* -3275911/10000000 (fabs x)) -1)) (pow (exp x) x)))) (+ (* (pow (+ (pow (/ (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 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1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) -2) (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1)))) (neg (/ (pow (/ (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) -2) (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1))) (pow (+ (pow (/ (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) -3) 1) -1) (+ (pow (/ (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 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(/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (- 1 (* (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ -8890523/31250000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000)))))) (exp (neg (* (fabs x) (fabs x)))))) (* 3275911/10000000 (fabs x)) (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* -3275911/10000000 (fabs x)) -1)) (pow (exp x) (neg x))) 1) (pow (/ (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) -3)) |
| 306.0ms | x.im | @ | 0 | ((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) (/ y.im y.re)) (atan2 x.im x.re)) y.re) (* (- (pow (* (atan2 x.im x.re) y.re) 2) (pow (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))) 2)) (/ 1 (+ (* (atan2 x.im x.re) y.re) (* (neg y.im) (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (atan2 x.im x.re) y.im) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (* (atan2 x.im x.re) y.re) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin (* (- (pow (* (atan2 x.im x.re) y.re) 2) (pow (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))) 2)) (/ 1 (+ (* (atan2 x.im x.re) y.re) (* (neg y.im) (log (sqrt (+ (* x.im x.im) (* x.re x.re))))))))) (- (pow (* (atan2 x.im x.re) y.re) 2) (pow (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))) 2))) |
| 246.0ms | u1 | @ | -inf | ((+ (* (* (/ 1 6) (pow (exp 1/2) (log (* (log u1) -2)))) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (sqrt (neg (log u1)))) 1/2) (* (* 1/6 (sqrt 2)) (cos (* (* (PI) u2) 2))) (* 1/6 (sqrt 2)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -2) (/ 1 (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2))) (/ 1 (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2)) (+ (* (cos (* u2 (* (PI) 2))) (* (sqrt (* (log u1) -2)) 1/6)) 1/2) (cos (* u2 (* (PI) 2))) (+ (* (* 1/6 (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* 1/6 (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) (* 1/6 (pow (* -2 (log u1)) 1/2)) (pow (* -2 (log u1)) 1/2) (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (* (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (/ 1 (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))) (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (PI) u2) (sqrt (neg (log u1))) (log u1) (* (sqrt (* (log u1) -2)) 1/6) (* (sqrt 2) (sqrt (neg (log u1)))) (* (* 2 (PI)) u2) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) |
Compiled 282 610 to 116 900 computations (58.6% saved)
| 232× | left-value |
| 203× | binary-search |
| 184× | narrow-enough |
| 19× | predicate-same |
| 1.5s | 13 603× | 0 | valid |
| 312.0ms | 775× | 1 | valid |
| 32.0ms | 127× | 2 | valid |
| 6.0ms | 23× | 3 | valid |
Compiled 109 197 to 62 770 computations (42.5% saved)
ival-mult: 436.0ms (34.4% of total)ival-add: 150.0ms (11.8% of total)ival-hypot: 140.0ms (11% of total)ival-log: 90.0ms (7.1% of total)ival-exp: 88.0ms (6.9% of total)ival-sin: 62.0ms (4.9% of total)ival-sub: 58.0ms (4.6% of total)ival-div: 57.0ms (4.5% of total)ival-cos: 52.0ms (4.1% of total)const: 44.0ms (3.5% of total)ival-atan2: 29.0ms (2.3% of total)adjust: 27.0ms (2.1% of total)ival-sqrt: 12.0ms (0.9% of total)ival-true: 11.0ms (0.9% of total)ival-assert: 6.0ms (0.5% of total)exact: 4.0ms (0.3% of total)ival-copysign: 1.0ms (0.1% of total)ival-fabs: 1.0ms (0.1% of total)| 58× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 86.3% | 13.7% | 0% | 0% | 0% | 0 |
| 55.4% | 47.8% | 38.5% | 13.7% | 0% | 0% | 0% | 1 |
| 65.9% | 55.7% | 28.9% | 13.7% | 0% | 1.7% | 0% | 2 |
| 71.2% | 58.4% | 23.6% | 13.7% | 0% | 4.3% | 0% | 3 |
| 77.4% | 62% | 18.1% | 13.7% | 0% | 6.2% | 0% | 4 |
| 83.5% | 66.8% | 13.2% | 13.7% | 0% | 6.3% | 0% | 5 |
| 85.8% | 68.3% | 11.3% | 13.7% | 0% | 6.6% | 0% | 6 |
| 88.3% | 70.3% | 9.4% | 13.7% | 0% | 6.6% | 0% | 7 |
| 89.9% | 71.5% | 8% | 13.7% | 0% | 6.8% | 0% | 8 |
| 91.1% | 72.5% | 7.1% | 13.7% | 0% | 6.8% | 0% | 9 |
| 92.6% | 73.6% | 5.9% | 13.7% | 0% | 6.8% | 0% | 10 |
| 94% | 74.7% | 4.8% | 13.7% | 0% | 6.8% | 0% | 11 |
| 94.5% | 75.1% | 4.4% | 13.7% | 0% | 6.9% | 0% | 12 |
Compiled 1 498 to 816 computations (45.5% saved)
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