| 163× | rewrite-expression-head |
509 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))))) |
| 1.0m | (+ (+ (+ (+ (/ -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))))) |
| 49.5s | (* (/ (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)))))))) |
| 47.4s | (* (/ (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))))))) |
| 19247× | times-frac |
| 15619× | *-un-lft-identity |
| 10331× | add-sqr-sqrt |
| 8929× | add-cube-cbrt |
| 8507× | frac-add |
| 3829× | flip-+ flip3-+ |
| 3635× | distribute-lft-out |
| 3357× | associate-*r/ |
| 2714× | add-exp-log |
| 2673× | frac-times |
| 2183× | add-cbrt-cube |
| 1897× | pow1 |
| 1766× | sqrt-prod |
| 1338× | associate-*l* |
| 1273× | associate-*r* |
| 1048× | associate-/r/ |
| 971× | prod-exp |
| 871× | associate-/l* |
| 851× | add-log-exp |
| 799× | div-inv |
| 754× | associate-/r* |
| 738× | cbrt-unprod |
| 688× | unpow-prod-down |
| 668× | associate-*l/ |
| 654× | div-exp |
| 573× | pow-prod-down |
| 439× | cbrt-prod |
| 396× | cbrt-undiv |
| 341× | associate-+l- |
| 331× | pow-sub |
| 329× | unswap-sqr |
| 326× | frac-sub |
| 300× | log-pow |
| 295× | difference-of-squares |
| 276× | sqrt-div |
| 252× | cbrt-div |
| 251× | flip3-- flip-- |
| 240× | distribute-lft-out-- |
| 238× | exp-sum |
| 234× | sqrt-pow1 |
| 181× | cube-prod |
| 166× | sum-log |
| 156× | *-commutative |
| 153× | sqr-pow |
| 147× | sub-neg |
| 144× | pow1/2 |
| 138× | associate-/l/ |
| 135× | swap-sqr |
| 118× | distribute-rgt-in distribute-lft-in |
| 105× | log-prod |
| 102× | pow-exp |
| 99× | frac-2neg clear-num |
| 95× | pow1/3 |
| 72× | pow-unpow |
| 71× | pow-to-exp |
| 70× | 1-exp |
| 67× | rem-sqrt-square |
| 64× | rec-exp |
| 62× | pow-prod-up |
| 57× | +-commutative |
| 56× | unpow-prod-up |
| 44× | pow-sqr |
| 42× | exp-prod diff-log |
| 36× | pow-pow |
| 33× | unpow3 cube-mult |
| 24× | exp-diff rem-cube-cbrt pow-plus |
| 20× | pow2 |
| 19× | distribute-rgt-neg-in |
| 18× | associate-+r+ |
| 17× | associate--l+ |
| 16× | cube-div div-sub |
| 15× | pow-flip |
| 14× | log-div |
| 13× | rem-log-exp |
| 12× | sub-div |
| 11× | un-div-inv |
| 10× | rem-exp-log inv-pow |
| 9× | associate-+r- |
| 8× | associate-+l+ associate--r+ |
| 7× | exp-to-pow |
| 6× | distribute-neg-in difference-of-sqr--1 |
| 5× | unpow2 |
| 4× | sqrt-unprod rem-square-sqrt neg-sub0 rem-cbrt-cube |
| 3× | sin-sum |
| 2× | distribute-rgt-out-- unsub-neg |
| 1× | cos-sum sqrt-undiv difference-cubes sqrt-pow2 pow3 associate--r- associate--l- |
| 100× | intervals |
| 1.1m | 496506× | body | 80 | valid |
| 1.0m | 15777× | body | 10240 | exit |
| 28.6s | 30244× | body | 1280 | valid |
| 15.7s | 23335× | body | 640 | valid |
| 8.4s | 69884× | body | 80 | nan |
| 5.3s | 3076× | body | 1280 | nan |
| 4.8s | 12089× | body | 320 | valid |
| 4.0s | 10086× | body | 160 | valid |
| 2.9s | 2577× | body | 640 | nan |
| 1.8s | 49536× | pre | 80 | true |
| 924.0ms | 1284× | body | 320 | nan |
| 737.0ms | 1423× | body | 2560 | valid |
| 553.0ms | 617× | body | 5120 | valid |
| 264.0ms | 617× | body | 160 | nan |
509 calls:
| 4.7s | (- (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 (pow (fabs x) 2))) 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 (pow (fabs x) 2))) 3)))) |
| 4.6s | (- (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 (pow (fabs x) 2))) 3)) |
| 4.5s | (* (+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1) (- (sqrt (* d1 (+ d4 (- d2 d3)))) d1)) |
| 2.1s | (* (/ (* (/ 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 (pow (fabs x) 2))) (+ 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 (pow (fabs x) 2))))) |
| 2.1s | (* (/ (* (/ 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 (pow (fabs x) 2))) (+ 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 (pow (fabs x) 2))))) |
Total 107.0b remaining (43%)
Threshold costs 5.1b (2%)
| 17.5b | 44.7% | math.log/2 on complex, real part |
| 13.9b | 53.3% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 10.5b | 57.3% | math.log10 on complex, real part |
| 10.2b | 58.2% | math.log/1 on complex, real part |
| 9.9b | 58.2% | math.abs on complex |