18348 calls:
| 2.0s | (* (* (* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (* (/ (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))) (/ 1 (fabs x)))) (* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (* (/ (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))) (/ 1 (fabs x))))) (* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (+ (/ (/ 1/2 (fabs x)) (* (fabs x) (fabs x))) (* (/ (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (+ 3/4 (/ 15/8 (* (fabs x) (fabs x)))))) (/ 1 (fabs x))))) |
| 1.9s | (* (* (* (* (sqrt (/ 1 PI)) (sqrt (/ 1 PI))) (sqrt (/ 1 PI))) (* (* (exp (* (fabs x) (fabs x))) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))))) (* (* (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))))) |
| 1.7s | (* (* (* (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x)))) (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x))))) (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x))))) (* (* (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))))) |
| 1.7s | (* (* (* (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x))))) (* (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))))) (* (* (sqrt (/ 1 PI)) (exp (* (fabs x) (fabs x)))) (+ (/ 15/8 (pow (fabs x) 7)) (+ (+ (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x))) (/ 3/4 (pow (fabs x) 5))) (/ 1 (fabs x)))))) |
| 1.6s | (* (* (* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))) (* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) (* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) |
| 88× | intervals |
| 6.4m | 100341× | body | 10240 | exit |
| 1.1m | 387340× | body | 80 | valid |
| 26.2s | 22306× | body | 1280 | valid |
| 13.4s | 17664× | body | 640 | valid |
| 10.8s | 70193× | body | 80 | nan |
| 6.2s | 1507× | body | 1280 | nan |
| 5.7s | 9535× | body | 320 | valid |
| 4.0s | 9102× | body | 160 | valid |
| 3.7s | 1255× | body | 640 | nan |
| 2.8s | 33536× | pre | 80 | true |
| 2.1s | 1384× | body | 2560 | valid |
| 1.9s | 666× | body | 320 | nan |
| 890.0ms | 322× | body | 160 | nan |
| 613.0ms | 657× | body | 5120 | valid |
| 146× | rewrite-expression-head |
436 calls:
| 26.3s | (* (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))) (+ (+ (/ 771.3234287776531 (+ z 2)) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1))))) (/ -176.6150291621406 (+ z 3))))) (exp (- (+ (- z -6) 0.5)))) |
| 19.6s | (* (* (pow (+ (- z -6) 0.5) (- z (- 1 0.5))) (sqrt (* PI 2))) (* (+ (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (+ (/ -0.13857109526572012 (- z -5)) (/ 12.507343278686905 (+ z 4))) (+ (+ (/ 771.3234287776531 (+ z 2)) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1))))) (/ -176.6150291621406 (+ z 3))))) (exp (- (+ (- z -6) 0.5))))) |
| 17.5s | (log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))) |
| 17.3s | (log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))) |
| 17.1s | (log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))) |
| 10832× | *-un-lft-identity |
| 8650× | times-frac |
| 6006× | add-sqr-sqrt |
| 5250× | pow1 |
| 4128× | add-cube-cbrt |
| 3725× | add-exp-log |
| 3551× | distribute-lft-out |
| 3094× | add-cbrt-cube |
| 2864× | frac-add |
| 2422× | pow-prod-down |
| 2293× | prod-exp |
| 1767× | cbrt-unprod |
| 1451× | associate-*r* |
| 1438× | flip-+ flip3-+ |
| 1108× | pow-prod-up |
| 1080× | frac-times |
| 986× | associate-*l* |
| 915× | sqrt-prod |
| 900× | associate-*l/ |
| 666× | difference-of-squares |
| 639× | pow-plus |
| 618× | add-log-exp |
| 587× | associate-*r/ |
| 571× | associate-/l* |
| 547× | sqrt-pow1 |
| 540× | associate-/r/ |
| 436× | insert-posit16 |
| 419× | cbrt-div |
| 418× | cbrt-prod |
| 340× | associate-/r* |
| 332× | distribute-lft-out-- |
| 320× | div-inv |
| 317× | div-exp |
| 285× | cbrt-undiv |
| 252× | pow-sqr |
| 251× | exp-diff |
| 250× | pow-exp |
| 246× | exp-neg |
| 245× | pow-sub |
| 243× | neg-sub0 |
| 220× | unswap-sqr |
| 218× | flip3-- flip-- |
| 215× | log-pow |
| 186× | swap-sqr |
| 181× | sqrt-div |
| 178× | pow2 |
| 151× | *-commutative |
| 134× | pow1/3 |
| 130× | pow-to-exp |
| 94× | associate-/l/ |
| 86× | log-prod |
| 84× | pow1/2 |
| 80× | unpow-prod-down |
| 79× | exp-prod |
| 76× | frac-2neg clear-num |
| 70× | sub-neg |
| 52× | distribute-rgt-in distribute-lft-in |
| 51× | diff-log |
| 48× | sum-log |
| 45× | sqr-pow |
| 42× | cube-unmult |
| 39× | rem-sqrt-square |
| 36× | +-commutative |
| 33× | pow3 |
| 26× | frac-sub |
| 20× | div-sub log-div |
| 16× | exp-sum |
| 14× | 1-exp rec-exp associate--l+ |
| 12× | rem-log-exp |
| 10× | associate--r+ |
| 9× | pow-flip |
| 8× | pow-div inv-pow |
| 6× | pow-unpow un-div-inv distribute-rgt-out |
| 5× | associate-+l+ associate--l- distribute-rgt1-in |
| 4× | sin-sum difference-of-sqr-1 pow-pow associate--r- |
| 3× | unpow-prod-up distribute-lft-neg-out sqrt-undiv distribute-lft-neg-in distribute-rgt-neg-in associate-+l- |
| 2× | sqrt-unprod rem-square-sqrt |
| 1× | neg-mul-1 rem-exp-log cos-sum difference-cubes distribute-neg-in rem-cbrt-cube |
436 calls:
| 4.7s | (* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (* 9 (+ (sqrt a) (sqrt (/ 1.0 3.0)))) (- (sqrt a) (sqrt (/ 1.0 3.0))))))) |
| 4.1s | (/ (- a (/ 1.0 3.0)) (sqrt (* (* 9 (+ (sqrt a) (sqrt (/ 1.0 3.0)))) (- (sqrt a) (sqrt (/ 1.0 3.0)))))) |
| 3.2s | (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) (sqrt 1.0))) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i))) (- (+ (+ alpha beta) (* 2 i)) (sqrt 1.0)))) |
| 3.0s | (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) (sqrt 1.0))) (/ (/ (+ alpha i) (/ (+ (+ alpha beta) (* 2 i)) (+ i beta))) (- (+ (+ alpha beta) (* 2 i)) (sqrt 1.0)))) |
| 1.1s | (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) |
Total 100.1b remaining (45.5%)
Threshold costs 3.0b (1.4%)