| 154× | rewrite-expression-head |
473 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))))))) |
| 50.1s | (* (/ (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (exp (+ (- z 1.0) 7.0))) (* (/ (sqrt (* PI 2.0)) (exp 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)))))))) |
| 48.7s | (* (/ (sqrt (* PI 2.0)) (exp 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))))))) |
| 44.1s | (* (/ (sqrt (* PI 2.0)) (exp 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))))))) |
| 43.1s | (* (/ (sqrt (* PI 2.0)) (exp 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))))))) |
| 18085× | times-frac |
| 13657× | *-un-lft-identity |
| 10559× | add-sqr-sqrt |
| 8866× | frac-add |
| 8496× | add-cube-cbrt |
| 4715× | sqrt-prod |
| 3155× | flip-+ flip3-+ |
| 2941× | frac-times |
| 2534× | distribute-lft-out |
| 2472× | add-exp-log |
| 2340× | associate-*r/ |
| 1847× | add-cbrt-cube |
| 1813× | associate-*l* |
| 1404× | associate-*r* |
| 1323× | pow1 |
| 922× | associate-/r/ |
| 899× | prod-exp |
| 836× | unpow-prod-down |
| 757× | cbrt-prod |
| 733× | associate-*l/ |
| 725× | add-log-exp |
| 705× | div-exp |
| 622× | associate-/l* |
| 602× | associate-/r* |
| 586× | div-inv |
| 540× | cbrt-unprod |
| 472× | cbrt-div |
| 412× | cbrt-undiv |
| 410× | unswap-sqr |
| 375× | difference-of-squares |
| 364× | distribute-lft-out-- |
| 320× | swap-sqr |
| 298× | pow-prod-down |
| 286× | sqrt-div |
| 190× | flip3-- flip-- |
| 179× | log-pow |
| 168× | sqr-pow |
| 160× | exp-sum |
| 145× | unpow-prod-up |
| 140× | sub-neg |
| 138× | pow-exp |
| 137× | *-commutative sqrt-pow1 |
| 124× | associate-/l/ |
| 122× | pow1/3 |
| 111× | pow-to-exp |
| 97× | sum-log |
| 95× | pow1/2 |
| 93× | distribute-rgt-in distribute-lft-in |
| 90× | frac-2neg clear-num |
| 79× | pow-unpow |
| 75× | cube-prod |
| 72× | log-prod |
| 60× | +-commutative |
| 58× | rem-sqrt-square |
| 42× | diff-log |
| 39× | 1-exp |
| 35× | pow-prod-up |
| 31× | pow-sqr rec-exp |
| 30× | pow-pow |
| 28× | associate-+r+ |
| 19× | div-sub |
| 18× | associate-+l- |
| 17× | unpow3 cube-mult |
| 16× | exp-diff pow2 pow-plus |
| 14× | associate--r+ |
| 13× | cube-div |
| 11× | exp-prod |
| 10× | log-div |
| 8× | rem-cube-cbrt associate-+l+ inv-pow pow-sub pow-flip |
| 6× | associate--r- sum-cubes rem-log-exp |
| 5× | distribute-rgt-neg-in associate-+r- associate--l+ unpow2 |
| 4× | un-div-inv sin-sum rem-cbrt-cube |
| 3× | cos-sum |
| 2× | neg-sub0 |
| 1× | sqrt-pow2 rem-exp-log unpow1/3 associate--l- sqrt-unprod pow3 unsub-neg rem-square-sqrt distribute-rgt-out |
| 99× | intervals |
| 1.4m | 15908× | body | 10240 | exit |
| 52.9s | 435680× | body | 80 | valid |
| 32.6s | 30526× | body | 1280 | valid |
| 16.7s | 23536× | body | 640 | valid |
| 6.5s | 69906× | body | 80 | nan |
| 6.3s | 3002× | body | 1280 | nan |
| 5.5s | 12105× | body | 320 | valid |
| 3.6s | 2648× | body | 640 | nan |
| 3.5s | 9946× | body | 160 | valid |
| 2.0s | 1329× | body | 320 | nan |
| 1.9s | 49536× | pre | 80 | true |
| 1.4s | 1451× | body | 2560 | valid |
| 555.0ms | 589× | body | 5120 | valid |
| 334.0ms | 595× | body | 160 | nan |
473 calls:
| 3.3s | (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i))) (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)))) |
| 3.1s | (* (/ (/ i (/ (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) i))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i))) (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)))) |
| 1.6s | (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (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))))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429) -1.453152027))))))))) (exp (- (* (fabs x) (fabs x)))))) |
| 1.5s | (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (sqrt (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (/ (* (sqrt 1.0) (* (/ (sqrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429) -1.453152027))) (pow (+ 1.0 (* 0.3275911 (fabs x))) 2/3)))) -0.284496736)) 0.254829592)) (sqrt (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (/ (* (sqrt 1.0) (* (/ (sqrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429) -1.453152027))) (pow (+ 1.0 (* 0.3275911 (fabs x))) 2/3)))) -0.284496736)) 0.254829592)))) (exp (- (* (fabs x) (fabs x)))))) |
| 1.4s | (* (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) (- 0.5 (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))))) |
Total 122.7b remaining (43.2%)
Threshold costs 5.3b (1.9%)
| 17.6b | 27.8% | math.log10 on complex, real part |
| 17.3b | 28.5% | math.log/1 on complex, real part |
| 13.8b | 37.9% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 12.7b | 39% | math.sqrt on complex, real part |
| 10.8b | 55.9% | math.log/2 on complex, real part |