Herbie run
| Date: | Tuesday, April 15th, 2025 |
|---|---|
| Commit: | 5565a39e on main |
| Seed: | 2025105 |
| Parameters: | 256 points for 4 iterations |
| Flags: | reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs default |
| Memory: | 261 962.1 MB |
Time bar (total: 3.2min)
| 33.3s | 433 877× | 0 | valid |
| 7.7s | 26 397× | 1 | valid |
| 4.3s | 9 388× | 2 | valid |
| 1.9s | 4 375× | 0 | invalid |
| 920.0ms | 8 512× | 0 | exit |
| 311.0ms | 949× | 3 | valid |
ival-mult!: 10.8s (32.9% of total)ival-exp: 3.0s (9.2% of total)ival-add!: 2.7s (8.3% of total)ival-hypot: 2.5s (7.7% of total)ival-div!: 2.0s (6.2% of total)ival-asin: 1.7s (5.2% of total)adjust: 1.6s (5% of total)ival-log: 1.6s (4.8% of total)ival-sub!: 1.2s (3.6% of total)ival-sin: 1.1s (3.4% of total)ival-cos: 979.0ms (3% of total)ival-atan2: 800.0ms (2.4% of total)ival-sqrt: 608.0ms (1.9% of total)ival-acosh: 481.0ms (1.5% of total)ival-sinu: 331.0ms (1% of total)ival-pow: 298.0ms (0.9% of total)ival-asinh: 263.0ms (0.8% of total)ival-fabs: 259.0ms (0.8% of total)ival-neg: 229.0ms (0.7% of total)ival-atanh: 149.0ms (0.5% of total)ival-cosu: 92.0ms (0.3% of total)const: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)| 465× | iter-limit |
| 178× | node-limit |
| 16× | unsound |
| 4× | saturated |
Compiled 5 724 685 to 384 033 computations (93.3% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 1169 | 0 |
-.f64 | #f | cancellation | 733 | 4 |
/.f64 | #f | o/o | 643 | 0 |
/.f64 | #f | o/n | 207 | 0 |
sqrt.f32 | #f | oflow-rescue | 203 | 0 |
sin.f64 | #f | sensitivity | 195 | 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 | 191 | 0 |
sqrt.f64 | #f | uflow-rescue | 156 | 0 |
+.f64 | #f | cancellation | 154 | 0 |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | sensitivity | 130 | 3 |
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 130 | 0 |
-.f64 | #f | nan-rescue | 116 | 0 |
/.f64 | #f | n/o | 86 | 0 |
/.f64 | #f | u/u | 68 | 0 |
*.f64 | #f | n*u | 68 | 0 |
+.f64 | #f | nan-rescue | 67 | 0 |
/.f64 | #f | u/n | 29 | 0 |
*.f64 | #f | n*o | 21 | 0 |
exp.f64 | #f | sensitivity | 9 | 4 |
/.f64 | #f | n/u | 5 | 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 | 4 | 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 | 4 | |
| ↳ | (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 | 4 | |
| ↳ | (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 | 4 | |
log.f32 | #f | oflow-rescue | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3600 | 33 |
| - | 201 | 10758 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3600 | 4 | 29 |
| - | 201 | 8 | 10750 |
| number | freq |
|---|---|
| 0 | 10791 |
| 1 | 3215 |
| 2 | 586 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 1 | 0 |
| - | 2 | 0 | 17 |
| 2.5s | 25 380× | 0 | valid |
| 1.8s | 2 808× | 1 | valid |
| 625.0ms | 914× | 2 | valid |
| 25.0ms | 74× | 3 | valid |
| 5.0ms | 8× | 5 | exit |
Compiled 13 558 to 2 283 computations (83.2% saved)
ival-exp: 1.3s (37.1% of total)ival-mult!: 555.0ms (15.6% of total)adjust: 285.0ms (8% of total)ival-add!: 284.0ms (8% of total)ival-hypot: 226.0ms (6.4% of total)ival-log: 224.0ms (6.3% of total)ival-div!: 145.0ms (4.1% of total)ival-asin: 93.0ms (2.6% of total)ival-atan2: 80.0ms (2.2% of total)ival-sub!: 78.0ms (2.2% of total)ival-cos: 69.0ms (1.9% of total)ival-sin: 60.0ms (1.7% of total)ival-sqrt: 42.0ms (1.2% of total)ival-fabs: 24.0ms (0.7% of total)ival-pow: 22.0ms (0.6% of total)ival-copysign: 14.0ms (0.4% of total)ival-neg: 14.0ms (0.4% of total)ival-log1p: 8.0ms (0.2% of total)ival-sinu: 8.0ms (0.2% of total)ival-cosu: 6.0ms (0.2% of total)const: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)| 35× | fuel |
| 22× | done |
Compiled 37 595 to 4 357 computations (88.4% saved)
1206 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 155.0ms | y.re | @ | 0 | ((* (exp (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (neg (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) (* (neg (atan2 x.im x.re)) y.im))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (neg (atan2 x.im x.re)) y.im)) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re x.im y.re (* (neg (atan2 x.im x.re)) y.im) (neg (atan2 x.im x.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)) (* (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)))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re)) (sin (* y.re (atan2 x.im x.re))) (* y.re (atan2 x.im x.re)) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (sqrt (+ (* x.im x.im) (* x.re x.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)))) (* (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))) (* y.re (log x.re)) (log x.re) (* y.im (atan2 x.im x.re)) (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.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)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* x.im x.im) (* (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))) (- (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* -1/2 (/ (* (* x.re x.re) (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (* x.im x.im)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))) (log x.im) (* -1/2 (/ (* (* x.re x.re) (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (* x.im x.im))) -1/2 (/ (* (* x.re x.re) (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (* x.im x.im)) (* (* x.re x.re) (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.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)))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))))) (* y.im (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (* x.im x.im) (* x.re x.re))))))) (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))) (* y.im (* (pow (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) 2) (sin (* y.re (atan2 x.im x.re))))) (* (pow (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) 2) (sin (* y.re (atan2 x.im x.re)))) (pow (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) 2) (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) 2 (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (* x.im x.im) (* x.re x.re))))) (cos (* y.re (atan2 x.im x.re)))) |
| 137.0ms | x | @ | -inf | ((neg (log (/ (log x) x))) (log (/ (log x) x)) (/ (log x) x) (log x) x) |
| 102.0ms | x | @ | 0 | ((- (log x) (log (log x))) (log x) x (log (log x))) |
| 101.0ms | x | @ | -inf | ((* (* (/ 1 (sqrt (PI))) (pow (exp (neg (fabs x))) (neg (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ 1 (sqrt (PI))) (pow (exp (neg (fabs x))) (neg (fabs x)))) (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (pow (exp (neg (fabs x))) (neg (fabs x))) (exp (neg (fabs x))) (neg (fabs x)) (fabs x) x (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 1 2) 2 (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 3 4) 3 4 (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) (/ 15 8) 15 8 (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (/ (/ 1/2 (* x x)) (fabs x))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))) (* (fabs x) (fabs x)) (+ (+ (+ (/ 1 (fabs x)) (/ (/ 1/2 (* x x)) (fabs x))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (/ (/ 1/2 (* x x)) (fabs x))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (/ 1 (fabs x)) (/ (/ 1/2 (* x x)) (fabs x))) (/ (/ 1/2 (* x x)) (fabs x)) (/ 1/2 (* x x)) 1/2 (* x x) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (* (sqrt x) (sqrt x))) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (+ (+ (+ (/ 1 (* (sqrt x) (sqrt x))) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (* (sqrt x) (sqrt x))) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (/ 1 (* (sqrt x) (sqrt x))) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/ 1 (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x) (* (/ (pow (exp x) x) (sqrt (PI))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (/ (pow (exp x) x) (sqrt (PI))) (pow (exp x) x) (exp x) (* (* (/ 1 (sqrt (PI))) (pow (exp x) x)) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (* (/ 1 (sqrt (PI))) (pow (exp x) x))) |
| 100.0ms | x | @ | 0 | ((/ (/ (- 1 (pow (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1))) 2) 3)) (+ 1 (+ (* (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1))) 2) (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 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132 calls:
| 592.0ms | im |
| 547.0ms | y.re |
| 484.0ms | x |
| 436.0ms | re |
| 417.0ms | y.im |
Compiled 13 928 to 9 393 computations (32.6% saved)
| 33× | node-limit |
| 24× | saturated |
Compiled 158 720 to 45 418 computations (71.4% saved)
Compiled 323 492 to 131 940 computations (59.2% saved)
| 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)
| 222× | binary-search |
| 200× | left-value |
| 216× | narrow-enough |
| 6× | predicate-same |
| 1.3s | 15 585× | 0 | valid |
| 611.0ms | 1 659× | 1 | valid |
| 28.0ms | 161× | 2 | valid |
| 20.0ms | 83× | 3 | valid |
Compiled 145 238 to 80 247 computations (44.7% saved)
ival-mult!: 482.0ms (35.5% of total)ival-hypot: 153.0ms (11.3% of total)ival-atan2: 122.0ms (9% of total)ival-exp: 101.0ms (7.4% of total)ival-sin: 101.0ms (7.4% of total)ival-log: 89.0ms (6.6% of total)adjust: 86.0ms (6.3% of total)ival-add!: 66.0ms (4.9% of total)ival-cos: 59.0ms (4.3% of total)ival-sub!: 38.0ms (2.8% of total)ival-div!: 35.0ms (2.6% of total)ival-sqrt: 15.0ms (1.1% of total)ival-neg: 7.0ms (0.5% of total)ival-fabs: 1.0ms (0.1% of total)Loading profile data...