| 160× | rewrite-expression-head |
495 calls:
| 2.1m | (+ (/ -176.6150291621406 (+ 4.0 (- z))) (+ (+ (+ (+ (/ -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)))))) |
| 1.6m | (+ (/ -176.6150291621406 (+ 4.0 (- z))) (+ (+ (+ (+ (/ -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)))))) |
| 1.5m | (+ (/ -176.6150291621406 (+ 4.0 (- z))) (+ (+ (+ (+ (/ -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)))))) |
| 1.2m | (* (/ (* (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))))) |
| 8383× | frac-add |
| 7863× | *-un-lft-identity |
| 7434× | times-frac |
| 5937× | add-sqr-sqrt |
| 4583× | add-cube-cbrt |
| 3301× | add-exp-log |
| 2984× | flip-+ flip3-+ |
| 2718× | add-cbrt-cube |
| 2380× | sqrt-prod |
| 2286× | pow1 |
| 2149× | frac-times |
| 1751× | distribute-lft-out |
| 1606× | prod-exp |
| 1463× | associate-*r/ |
| 1286× | cbrt-unprod |
| 1282× | associate-*r* |
| 1273× | associate-*l/ |
| 1175× | add-log-exp |
| 1088× | associate-*l* |
| 1044× | pow-prod-down |
| 813× | exp-neg |
| 729× | unpow-prod-down |
| 609× | associate-/l* |
| 582× | associate-/r/ |
| 538× | associate-/l/ |
| 525× | div-exp |
| 516× | exp-diff |
| 495× | neg-sub0 |
| 494× | pow-sub |
| 455× | cbrt-prod |
| 444× | associate-/r* |
| 429× | sum-log |
| 365× | cbrt-undiv |
| 352× | div-inv |
| 332× | un-div-inv |
| 324× | difference-of-squares |
| 282× | unswap-sqr |
| 275× | sqrt-div |
| 256× | associate-+l- |
| 250× | cbrt-div |
| 247× | distribute-lft-out-- |
| 219× | log-pow |
| 212× | sqrt-pow1 |
| 209× | cube-prod |
| 205× | swap-sqr |
| 187× | flip-- flip3-- |
| 173× | sqr-pow |
| 170× | pow-unpow |
| 154× | exp-sum |
| 149× | pow1/2 |
| 148× | pow-exp |
| 140× | *-commutative log-prod |
| 105× | exp-prod |
| 102× | pow-to-exp |
| 94× | frac-sub |
| 90× | frac-2neg clear-num |
| 81× | pow1/3 |
| 80× | sub-neg |
| 71× | rem-sqrt-square |
| 67× | distribute-rgt-in distribute-lft-in |
| 60× | unpow-prod-up |
| 58× | +-commutative |
| 54× | diff-log |
| 47× | pow-prod-up |
| 45× | 1-exp |
| 43× | rec-exp |
| 42× | pow-pow |
| 37× | pow-sqr |
| 31× | distribute-rgt-neg-in |
| 28× | rem-cube-cbrt |
| 26× | div-sub |
| 24× | cube-div |
| 23× | rem-exp-log |
| 22× | unpow3 cube-mult |
| 21× | distribute-lft-neg-in |
| 19× | log-div |
| 17× | associate-+l+ pow-plus |
| 15× | pow2 associate-+r+ |
| 13× | associate-+r- |
| 12× | neg-log |
| 10× | sum-cubes |
| 7× | associate--r+ rem-log-exp |
| 6× | sin-sum |
| 5× | e-exp-1 inv-pow unpow2 pow-flip associate--l+ |
| 4× | sqrt-undiv neg-mul-1 |
| 3× | difference-cubes sqrt-unprod distribute-neg-in rem-square-sqrt rem-cbrt-cube |
| 2× | cos-sum sqrt-pow2 unsub-neg pow-neg |
| 1× | distribute-rgt-out-- distribute-rgt-out associate--r- associate--l- |
| 99× | intervals |
| 49.2s | 435510× | body | 80 | valid |
| 29.6s | 30468× | body | 1280 | valid |
| 16.4s | 23370× | body | 640 | valid |
| 15.8s | 11871× | body | 10240 | exit |
| 7.6s | 70314× | body | 80 | nan |
| 6.1s | 11701× | body | 320 | valid |
| 3.5s | 10264× | body | 160 | valid |
| 2.1s | 1573× | body | 1280 | nan |
| 1.8s | 1322× | body | 640 | nan |
| 1.8s | 49536× | pre | 80 | true |
| 947.0ms | 1547× | body | 2560 | valid |
| 940.0ms | 570× | body | 5120 | valid |
| 519.0ms | 647× | body | 320 | nan |
| 145.0ms | 340× | body | 160 | nan |
493 calls:
| 4.7s | (- (pow 1.0 3) (* (sqrt (pow (/ (* 1.0 (/ (+ 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)))) (+ (* 0.3275911 (fabs x)) 1.0)) 3)) (sqrt (pow (/ (* 1.0 (/ (+ 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)))) (+ (* 0.3275911 (fabs x)) 1.0)) 3)))) |
| 4.7s | (- (pow 1.0 3) (* (sqrt (pow (/ (* 1.0 (/ (+ 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)))) (+ (* 0.3275911 (fabs x)) 1.0)) 3)) (sqrt (pow (/ (* 1.0 (/ (+ 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)))) (+ (* 0.3275911 (fabs x)) 1.0)) 3)))) |
| 4.6s | (- (pow 1.0 3) (pow (/ (* 1.0 (/ (+ 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)))) (+ (* 0.3275911 (fabs x)) 1.0)) 3)) |
| 3.1s | (/ (* (/ (/ (* 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))) |
| 2.9s | (* (/ (/ (* 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)))) |
Total 94.1b remaining (33.9%)
Threshold costs 5.1b (1.8%)
| 11.1b | 56.2% | math.log/2 on complex, real part |
| 10.2b | 59% | math.log10 on complex, real part |
| 10.1b | 59.3% | math.log/1 on complex, real part |
| 9.9b | 63.9% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 9.9b | 58.9% | math.abs on complex |