| 161× | rewrite-expression-head |
495 calls:
| 2.4m | (* (+ (+ (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (/ 12.507343278686905 (+ (- z) 5.0))) (+ (/ -176.6150291621406 (+ (- z) 4.0)) (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ 1.5056327351493116e-07 (+ 8.0 (- z)))) (/ 9.984369578019572e-06 (+ 7.0 (- z)))))) (sqrt (* 2.0 PI))) |
| 1.6m | (* (+ (+ (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (/ 12.507343278686905 (+ (- z) 5.0))) (+ (/ -176.6150291621406 (+ (- z) 4.0)) (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ 1.5056327351493116e-07 (+ 8.0 (- z)))) (/ 9.984369578019572e-06 (+ 7.0 (- z)))))) (sqrt (* 2.0 PI))) |
| 39.2s | (* (- (* (+ (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (/ 12.507343278686905 (+ (- z) 5.0))) (+ (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (/ 12.507343278686905 (+ (- z) 5.0)))) (* (+ (/ -176.6150291621406 (+ (- z) 4.0)) (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ 1.5056327351493116e-07 (+ 8.0 (- z)))) (/ 9.984369578019572e-06 (+ 7.0 (- z))))) (+ (/ -176.6150291621406 (+ (- z) 4.0)) (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ 1.5056327351493116e-07 (+ 8.0 (- z)))) (/ 9.984369578019572e-06 (+ 7.0 (- z))))))) (sqrt (* 2.0 PI))) |
| 38.8s | (* (+ (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (/ 12.507343278686905 (+ (- z) 5.0))) (+ (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (/ 12.507343278686905 (+ (- z) 5.0)))) |
| 18.6s | (* (/ (+ (+ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* 0.0424060604 (* (* x x) (* x x)))) (* 0.0072644182 (* (* (* x x) (* x x)) (* x x)))) (* 0.0005064034 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0001789971 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1.0 (* 0.7715471019 (* x x))) (* 0.2909738639 (* (* x x) (* x x)))) (* 0.0694555761 (* (* (* x x) (* x x)) (* x x)))) (* 0.0140005442 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0008327945 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2.0 0.0001789971) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) |
| 27852× | frac-times |
| 26833× | *-un-lft-identity |
| 23480× | times-frac |
| 17074× | associate-*r/ |
| 12144× | associate-*l/ |
| 11830× | frac-add |
| 10312× | add-sqr-sqrt |
| 10192× | flip-+ flip3-+ |
| 8816× | distribute-lft-out |
| 8538× | add-cube-cbrt |
| 7883× | exp-neg |
| 6764× | exp-diff |
| 6761× | neg-sub0 |
| 5515× | pow1 |
| 3230× | add-exp-log |
| 3143× | sqrt-prod |
| 2947× | add-cbrt-cube |
| 1859× | frac-sub |
| 1693× | pow-prod-down |
| 1658× | distribute-rgt-neg-in |
| 1536× | prod-exp |
| 1519× | pow-prod-up |
| 1371× | cbrt-unprod |
| 1284× | associate-*r* |
| 1209× | associate-*l* |
| 1129× | un-div-inv |
| 1063× | swap-sqr |
| 790× | associate-/r/ |
| 779× | associate-/l* |
| 720× | pow-plus |
| 714× | add-log-exp |
| 617× | difference-of-squares |
| 570× | div-inv |
| 540× | div-exp |
| 521× | distribute-lft-out-- |
| 517× | associate-/r* |
| 511× | pow-sqr |
| 498× | cbrt-div |
| 424× | cbrt-undiv |
| 355× | flip3-- flip-- |
| 316× | cbrt-prod |
| 262× | unswap-sqr |
| 237× | pow2 |
| 217× | sqrt-div |
| 211× | log-pow |
| 168× | *-commutative |
| 145× | unpow-prod-down |
| 142× | sqrt-pow1 |
| 118× | pow1/3 |
| 111× | pow1/2 associate-/l/ |
| 108× | cube-div |
| 92× | sum-log |
| 88× | distribute-rgt-in distribute-lft-in |
| 84× | log-prod |
| 83× | pow-exp |
| 80× | frac-2neg clear-num |
| 74× | sqr-pow |
| 71× | rem-sqrt-square |
| 54× | cube-unmult +-commutative |
| 49× | sub-neg |
| 46× | 1-exp |
| 43× | cube-prod |
| 40× | exp-prod |
| 39× | pow-to-exp |
| 30× | pow-unpow diff-log |
| 29× | exp-sum |
| 28× | distribute-lft-neg-in |
| 26× | rec-exp pow-pow |
| 24× | rem-cube-cbrt |
| 14× | div-sub |
| 13× | pow3 |
| 12× | associate-+l+ |
| 11× | unpow-prod-up associate--l+ |
| 10× | associate-+r- rem-log-exp distribute-rgt-out log-div |
| 9× | rem-exp-log |
| 7× | neg-mul-1 pow-sub |
| 6× | sin-sum associate-+r+ unpow3 cube-mult distribute-rgt1-in |
| 5× | cos-sum |
| 4× | neg-log associate--r+ associate-+l- unsub-neg |
| 3× | pow-flip inv-pow |
| 2× | distribute-lft-neg-out sqrt-undiv sqrt-unprod difference-cubes rem-square-sqrt |
| 1× | distribute-neg-in rem-cbrt-cube associate--r- |
493 calls:
| 2.7m | (- (pow (pow 1.0 3) 3) (pow (* (sqrt (pow (* (* (/ 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 (* (/ 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))))) 3)) (sqrt (pow (* (* (/ 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 (* (/ 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))))) 3))) 3)) |
| 4.7s | (- (pow 1.0 3) (pow (* (* (/ 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 (* (/ 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))))) 3)) |
| 4.2s | (+ (* (* (* (/ 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 (* (/ 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 (+ 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 (* (/ 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 (* (* (/ 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 (* (/ 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))))))) |
| 3.5s | (* (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) (/ (sqrt (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i)))) 1)) (/ (sqrt (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i)))) (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)))) |
| 3.4s | (- (pow 1.0 3) (* (sqrt (pow (* (* (/ 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 (* (/ 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))))) 3)) (sqrt (pow (* (* (/ 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 (* (/ 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))))) 3)))) |
| 99× | intervals |
| 52.1s | 11978× | body | 10240 | exit |
| 50.6s | 454278× | body | 80 | valid |
| 25.3s | 27048× | body | 1280 | valid |
| 14.2s | 21157× | body | 640 | valid |
| 6.9s | 70443× | body | 80 | nan |
| 4.0s | 10846× | body | 320 | valid |
| 3.0s | 1557× | body | 1280 | nan |
| 2.0s | 49536× | pre | 80 | true |
| 2.0s | 1342× | body | 640 | nan |
| 1.9s | 9639× | body | 160 | valid |
| 1.2s | 1395× | body | 2560 | valid |
| 864.0ms | 693× | body | 320 | nan |
| 795.0ms | 616× | body | 5120 | valid |
| 202.0ms | 327× | body | 160 | nan |
Total 95.3b remaining (33.4%)
Threshold costs 4.4b (1.5%)
| 13.6b | 35.4% | math.sqrt on complex, real part |
| 10.6b | 56.5% | math.log/2 on complex, real part |
| 10.1b | 57.9% | math.log10 on complex, real part |
| 9.9b | 58.7% | math.log/1 on complex, real part |
| 9.6b | 58.6% | math.abs on complex |