| 163× | rewrite-expression-head |
510 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))))) |
| 1.1m | (+ (+ (+ (+ (/ -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))))) |
| 55.4s | (* (/ (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))))))) |
| 53.6s | (* (/ (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)))))))) |
| 100303× | times-frac |
| 53652× | *-un-lft-identity |
| 40507× | add-sqr-sqrt |
| 38400× | add-cube-cbrt |
| 8506× | frac-add |
| 7959× | add-exp-log |
| 7578× | distribute-lft-out |
| 5599× | div-exp |
| 5423× | flip-+ flip3-+ |
| 4808× | associate-/r/ |
| 4216× | sqrt-prod |
| 4210× | div-inv |
| 3340× | associate-*r/ |
| 2635× | frac-times |
| 2566× | add-cbrt-cube |
| 2337× | associate-*r* |
| 2139× | pow1 |
| 1843× | associate-/l* |
| 1771× | prod-exp |
| 1569× | 1-exp |
| 1322× | associate-*l* |
| 947× | associate-/r* |
| 848× | unpow-prod-down |
| 845× | add-log-exp |
| 837× | rec-exp |
| 801× | difference-of-squares |
| 786× | cbrt-unprod |
| 673× | associate-*l/ |
| 649× | cbrt-undiv |
| 648× | pow-prod-down |
| 578× | distribute-lft-out-- |
| 490× | log-pow |
| 414× | cbrt-prod |
| 364× | flip3-- flip-- |
| 341× | associate-+l- |
| 339× | unswap-sqr |
| 332× | cube-prod |
| 331× | pow-sub |
| 326× | frac-sub |
| 321× | sqrt-div |
| 312× | sqrt-pow1 |
| 253× | cbrt-div |
| 230× | exp-sum |
| 199× | pow1/2 |
| 171× | sqr-pow |
| 163× | sum-log |
| 161× | *-commutative |
| 146× | sub-neg |
| 142× | pow1/3 |
| 140× | associate-/l/ |
| 139× | pow-exp |
| 132× | pow-prod-up |
| 120× | distribute-rgt-in distribute-lft-in |
| 110× | swap-sqr |
| 102× | frac-2neg clear-num |
| 95× | pow-to-exp |
| 87× | log-prod |
| 78× | pow-unpow |
| 72× | rem-sqrt-square |
| 68× | pow-plus |
| 64× | pow-sqr |
| 56× | unpow-prod-up |
| 54× | +-commutative |
| 41× | diff-log |
| 39× | unpow3 cube-mult |
| 38× | pow-pow |
| 36× | rem-cube-cbrt exp-prod |
| 32× | pow2 |
| 23× | exp-diff |
| 21× | cube-div div-sub |
| 19× | distribute-rgt-neg-in |
| 17× | associate--l+ |
| 14× | associate-+r+ |
| 13× | inv-pow pow-flip |
| 12× | sub-div |
| 10× | un-div-inv |
| 9× | rem-exp-log pow3 associate-+r- |
| 8× | associate-+l+ exp-to-pow associate--r+ |
| 6× | difference-of-sqr--1 sqrt-unprod distribute-neg-in log-div |
| 5× | rem-cbrt-cube |
| 4× | rem-square-sqrt neg-sub0 rem-log-exp |
| 3× | sin-sum unpow2 |
| 2× | pow-div unsub-neg |
| 1× | cos-sum sqrt-undiv difference-cubes sqrt-pow2 distribute-rgt-out-- associate--r- associate--l- |
| 100× | intervals |
| 1.1m | 496506× | body | 80 | valid |
| 1.0m | 15777× | body | 10240 | exit |
| 34.8s | 30244× | body | 1280 | valid |
| 16.1s | 23335× | body | 640 | valid |
| 8.1s | 69884× | body | 80 | nan |
| 5.5s | 12089× | body | 320 | valid |
| 5.3s | 3076× | body | 1280 | nan |
| 3.2s | 10086× | body | 160 | valid |
| 2.8s | 2577× | body | 640 | nan |
| 1.5s | 49536× | pre | 80 | true |
| 1.0s | 1284× | body | 320 | nan |
| 910.0ms | 1423× | body | 2560 | valid |
| 836.0ms | 617× | body | 5120 | valid |
| 426.0ms | 617× | body | 160 | nan |
510 calls:
| 4.8s | (- (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)))) |
| 4.8s | (- (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)) |
| 4.6s | (- (pow 1.0 3) (* (sqrt (log (exp (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)))) |
| 4.3s | (* (+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1) (- (sqrt (* d1 (+ d4 (- d2 d3)))) d1)) |
| 2.3s | (* (/ (* (/ 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 100.0b remaining (40.2%)
Threshold costs 5.3b (2.1%)
| 13.9b | 53.3% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 10.6b | 57.2% | math.log10 on complex, real part |
| 10.2b | 58.2% | math.log/1 on complex, real part |
| 10.2b | 58.8% | math.log/2 on complex, real part |
| 9.9b | 58.2% | math.abs on complex |