| 157× | rewrite-expression-head |
484 calls:
| 1.2m | (* (/ (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))) (exp (+ (+ (- z 1.0) 7.0) 0.5))) (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (+ (+ (/ 676.5203681218851 z) 0.9999999999998099) (/ -1259.1392167224028 (+ (- z 1.0) 2.0)))) (+ (/ 771.3234287776531 (+ (- z 1.0) 3.0)) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (+ (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))))) |
| 1.1m | (+ (+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ (- z) 3.0)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z)))) (+ (/ 1.5056327351493116e-07 (+ 8.0 (- z))) (/ 9.984369578019572e-06 (+ 7.0 (- z))))) |
| 59.4s | (+ (+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ (- z) 3.0)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z)))) (+ (/ 1.5056327351493116e-07 (+ 8.0 (- z))) (/ 9.984369578019572e-06 (+ 7.0 (- z))))) |
| 54.2s | (* (exp (- (- 1.0 7.0) 0.5)) (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (+ (+ (/ 676.5203681218851 z) 0.9999999999998099) (/ -1259.1392167224028 (+ (- z 1.0) 2.0)))) (+ (/ 771.3234287776531 (+ (- z 1.0) 3.0)) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (+ (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))))) |
| 41.6s | (+ (+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (+ (/ 771.3234287776531 (+ (- z) 3.0)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 12.507343278686905 (+ 5.0 (- z)))) (+ (/ 1.5056327351493116e-07 (+ 8.0 (- z))) (/ 9.984369578019572e-06 (+ 7.0 (- z))))) |
| 11202× | times-frac |
| 9173× | *-un-lft-identity |
| 7410× | add-sqr-sqrt |
| 6011× | add-cube-cbrt |
| 3219× | sqrt-prod |
| 3190× | frac-add |
| 2225× | add-exp-log |
| 1803× | add-cbrt-cube |
| 1647× | flip-+ flip3-+ |
| 1537× | distribute-lft-out |
| 1457× | pow1 |
| 1122× | associate-*l* |
| 991× | associate-*r/ |
| 949× | associate-*r* |
| 937× | add-log-exp |
| 755× | frac-times |
| 745× | associate-/r* |
| 739× | prod-exp |
| 714× | associate-/r/ |
| 692× | associate-/l* |
| 586× | cbrt-unprod |
| 480× | div-exp |
| 456× | unpow-prod-down |
| 448× | cbrt-div |
| 447× | cbrt-prod |
| 407× | div-inv |
| 356× | cbrt-undiv |
| 312× | difference-of-squares |
| 301× | pow-prod-down |
| 277× | unswap-sqr |
| 274× | associate-*l/ sum-log |
| 264× | distribute-lft-out-- |
| 262× | exp-diff |
| 254× | sqrt-div |
| 208× | sqrt-pow1 |
| 201× | swap-sqr |
| 185× | log-pow |
| 158× | associate-/l/ |
| 155× | flip3-- flip-- |
| 145× | exp-sum |
| 136× | pow1/2 |
| 133× | log-prod |
| 131× | *-commutative |
| 130× | sqr-pow |
| 126× | pow1/3 |
| 95× | cube-prod |
| 92× | clear-num frac-2neg |
| 90× | pow-prod-up |
| 88× | sub-neg |
| 81× | distribute-rgt-in distribute-lft-in |
| 76× | unpow-prod-up pow-exp |
| 68× | rem-sqrt-square |
| 62× | pow-unpow |
| 60× | pow-sqr |
| 59× | pow-to-exp |
| 57× | +-commutative |
| 38× | 1-exp rec-exp |
| 35× | pow-plus |
| 34× | pow-pow |
| 33× | diff-log |
| 30× | pow2 exp-prod |
| 25× | unpow3 cube-mult |
| 22× | log-div |
| 21× | associate--l+ |
| 20× | cube-div |
| 19× | associate-+r+ associate-+l- |
| 17× | div-sub |
| 16× | associate-+l+ |
| 13× | distribute-rgt-neg-in |
| 10× | pow-sub rem-log-exp |
| 9× | rem-exp-log inv-pow sin-sum pow-flip associate-+r- |
| 8× | rem-cube-cbrt |
| 6× | rem-cbrt-cube |
| 4× | distribute-lft-neg-out unsub-neg neg-sub0 associate--r+ unpow2 |
| 3× | un-div-inv sqrt-unprod rem-square-sqrt |
| 2× | associate--r- frac-sub exp-to-pow |
| 1× | cos-sum sqrt-pow2 distribute-rgt-out-- distribute-rgt-out sum-cubes |
| 99× | intervals |
| 57.6s | 15544× | body | 10240 | exit |
| 50.0s | 437767× | body | 80 | valid |
| 30.1s | 30263× | body | 1280 | valid |
| 15.1s | 23358× | body | 640 | valid |
| 8.1s | 69959× | body | 80 | nan |
| 5.7s | 12027× | body | 320 | valid |
| 5.2s | 3043× | body | 1280 | nan |
| 3.9s | 2442× | body | 640 | nan |
| 3.3s | 9993× | body | 160 | valid |
| 1.6s | 49536× | pre | 80 | true |
| 1.4s | 1468× | body | 2560 | valid |
| 846.0ms | 1320× | body | 320 | nan |
| 580.0ms | 630× | body | 160 | nan |
| 442.0ms | 569× | body | 5120 | valid |
484 calls:
| 1.5s | (* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))) |
| 1.5s | (- 1.0 (/ (* 1.0 (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ (sqrt 1.0) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ (sqrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (* (fabs x) (fabs x))))) (+ 1.0 (* 0.3275911 (fabs x))))) |
| 1.2s | (- 1.0 (/ (* 1.0 (/ (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))) (exp (* (fabs x) (fabs x))))) (+ 1.0 (* 0.3275911 (fabs x))))) |
| 1.2s | (/ 1 (/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5)))) |
| 1.1s | (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)) |
Total 95.6b remaining (34%)
Threshold costs 4.6b (1.6%)
| 16.4b | 46.5% | math.log/2 on complex, real part |
| 10.2b | 57.8% | math.log10 on complex, real part |
| 10.0b | 58.5% | math.log/1 on complex, real part |
| 9.6b | 58.6% | math.abs on complex |
| 9.4b | 55% | math.sqrt on complex, imaginary part, im greater than 0 branch |