| 150× | rewrite-expression-head |
443 calls:
| 1.0m | (/ (+ (/ 9.984369578019572e-06 (+ 7.0 (- z))) (+ (+ (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))) (+ (/ -1259.1392167224028 (+ (- z) 2.0)) (/ -176.6150291621406 (+ (- z) 4.0)))) (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ 12.507343278686905 (+ 5.0 (- z)))) (/ 1.5056327351493116e-07 (+ 8.0 (- z)))))) (exp (+ (+ 0.5 7.0) (- z)))) |
| 8.0s | (+ (+ (+ (/ 771.3234287776531 (+ 3.0 (- z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))) (+ (/ -1259.1392167224028 (+ (- z) 2.0)) (/ -176.6150291621406 (+ (- z) 4.0)))) (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ 12.507343278686905 (+ 5.0 (- z)))) (/ 1.5056327351493116e-07 (+ 8.0 (- z))))) |
| 5.7s | (* (/ (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (fma (* x x) 0.0001789971 0.0005064034)) (fma (* 0.0072644182 (* x x)) (* (* x x) (* x x)) (fma (* (* x x) (* x x)) 0.0424060604 (fma 0.1049934947 (* x x) 1.0)))) (fma (* 2.0 0.0001789971) (* (* (* x x) (* (* x x) (* x x))) (* (* x x) (* (* x x) (* x x)))) (fma (* (* x x) (* (* x x) (* x x))) (+ (* 0.0008327945 (* (* x x) (* x x))) (* (* x x) 0.0140005442)) (fma (* (* x x) (* (* x x) (* x x))) 0.0694555761 (fma 0.2909738639 (* (* x x) (* x x)) (fma (* x x) 0.7715471019 1.0)))))) x) |
| 5.1s | (/ (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (fma (* x x) 0.0001789971 0.0005064034)) (fma (* 0.0072644182 (* x x)) (* (* x x) (* x x)) (fma (* (* x x) (* x x)) 0.0424060604 (fma 0.1049934947 (* x x) 1.0)))) (fma (* 2.0 0.0001789971) (* (* (* x x) (* (* x x) (* x x))) (* (* x x) (* (* x x) (* x x)))) (fma (* (* x x) (* (* x x) (* x x))) (+ (* 0.0008327945 (* (* x x) (* x x))) (* (* x x) 0.0140005442)) (fma (* (* x x) (* (* x x) (* x x))) 0.0694555761 (fma 0.2909738639 (* (* x x) (* x x)) (fma (* x x) 0.7715471019 1.0)))))) |
| 1.6s | (/ (* (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (fma (* x x) 0.0001789971 0.0005064034)) (fma (* 0.0072644182 (* x x)) (* (* x x) (* x x)) (fma (* (* x x) (* x x)) 0.0424060604 (fma 0.1049934947 (* x x) 1.0)))) x) (fma (* 2.0 0.0001789971) (* (* (* x x) (* (* x x) (* x x))) (* (* x x) (* (* x x) (* x x)))) (fma (* (* x x) (* (* x x) (* x x))) (+ (* 0.0008327945 (* (* x x) (* x x))) (* (* x x) 0.0140005442)) (fma (* (* x x) (* (* x x) (* x x))) 0.0694555761 (fma 0.2909738639 (* (* x x) (* x x)) (fma (* x x) 0.7715471019 1.0)))))) |
| 25775× | frac-times |
| 23061× | times-frac |
| 22038× | *-un-lft-identity |
| 16344× | associate-*r/ |
| 14652× | add-sqr-sqrt |
| 11933× | add-cube-cbrt |
| 10399× | associate-*l/ |
| 9146× | flip-+ flip3-+ |
| 7847× | exp-neg |
| 7145× | frac-add |
| 6731× | exp-diff |
| 6727× | neg-sub0 |
| 5167× | prod-diff |
| 4712× | distribute-lft-out |
| 3951× | sqrt-prod |
| 3727× | distribute-rgt-in distribute-lft-in |
| 2950× | cbrt-prod |
| 2854× | pow1 |
| 2635× | add-exp-log |
| 2207× | add-cbrt-cube |
| 1941× | associate-*l* |
| 1931× | associate-/r/ |
| 1436× | cbrt-div |
| 1312× | associate-*r* |
| 1234× | frac-sub |
| 1124× | un-div-inv |
| 1048× | prod-exp |
| 1025× | distribute-rgt-neg-in |
| 1017× | associate-/l* |
| 906× | div-inv |
| 823× | difference-of-squares |
| 797× | pow-prod-up |
| 778× | distribute-lft-out-- |
| 774× | cbrt-unprod |
| 694× | add-log-exp |
| 636× | pow-prod-down |
| 573× | unpow-prod-down |
| 564× | div-exp |
| 522× | flip3-- flip-- |
| 481× | associate-/r* |
| 470× | cube-prod |
| 463× | cbrt-undiv |
| 442× | expm1-log1p-u |
| 441× | log1p-expm1-u |
| 401× | pow-plus |
| 366× | sqr-pow |
| 354× | associate-/l/ |
| 322× | unswap-sqr |
| 291× | unpow3 cube-mult |
| 209× | pow-exp |
| 198× | pow-sqr |
| 197× | log-pow |
| 158× | swap-sqr |
| 151× | *-commutative |
| 149× | log-prod |
| 147× | pow2 |
| 141× | exp-sum |
| 134× | sqrt-div |
| 122× | fma-neg |
| 120× | sqrt-pow1 |
| 119× | sum-log |
| 114× | cube-div |
| 100× | pow-to-exp |
| 97× | pow1/2 |
| 95× | fma-def |
| 92× | frac-2neg clear-num |
| 79× | fma-udef |
| 74× | pow1/3 |
| 70× | sub-neg |
| 61× | associate--l+ |
| 49× | diff-log |
| 45× | 1-exp rec-exp |
| 42× | distribute-rgt-out |
| 33× | pow3 |
| 29× | cube-unmult |
| 23× | distribute-rgt1-in +-commutative |
| 19× | associate--r+ |
| 18× | rem-sqrt-square |
| 17× | div-sub |
| 16× | exp-prod |
| 12× | pow-unpow |
| 11× | associate-+l+ |
| 9× | distribute-lft1-in associate-+r+ rem-log-exp hypot-def count-2 |
| 8× | sin-sum pow-pow distribute-lft-neg-in |
| 6× | difference-cubes cos-sum log-div |
| 5× | associate--l- pow-flip pow-div inv-pow |
| 4× | rem-cube-cbrt |
| 3× | expm1-log1p expm1-udef log1p-expm1 sqrt-unprod associate-+l- log1p-udef |
| 2× | associate-+r- neg-mul-1 hypot-udef |
| 1× | distribute-rgt-out-- rem-square-sqrt rem-cbrt-cube unsub-neg associate--r- |
| 98× | intervals |
| 51.4s | 12154× | body | 10240 | exit |
| 45.2s | 437147× | body | 80 | valid |
| 27.0s | 27121× | body | 1280 | valid |
| 12.6s | 21329× | body | 640 | valid |
| 7.1s | 67962× | body | 80 | nan |
| 3.7s | 10658× | body | 320 | valid |
| 3.1s | 1648× | body | 1280 | nan |
| 3.0s | 9643× | body | 160 | valid |
| 1.7s | 1340× | body | 640 | nan |
| 1.6s | 49536× | pre | 80 | true |
| 1.0s | 669× | body | 320 | nan |
| 921.0ms | 1496× | body | 2560 | valid |
| 515.0ms | 339× | body | 160 | nan |
| 401.0ms | 625× | body | 5120 | valid |
440 calls:
| 21.6s | (- (pow 1.0 3) (/ (pow (* (* 1.0 (- (* 0.254829592 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))))))) (* (/ 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) (pow (* (+ 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))))))))) 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 (- (* (fabs x) (fabs x))))) 3)) |
| 4.3s | (+ (* (* (* (/ 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 (- (* (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))))))) |
| 4.0s | (fma (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) (* (cbrt (+ 2.0 (fma 2.0 i (+ beta alpha)))) (cbrt (+ 2.0 (fma 2.0 i (+ beta alpha)))))) (* (/ (/ (cbrt (- beta alpha)) (fma 2.0 i (+ beta alpha))) (cbrt (+ 2.0 (fma 2.0 i (+ beta alpha))))) (+ beta alpha)) 1.0) |
| 3.3s | (* (/ (/ 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)))) |
Total 31.7b remaining (25.1%)
Threshold costs 5.0b (4%)
| 9.4b | 38.3% | Octave 3.8, jcobi/4 |
| 8.5b | 28.8% | _divideComplex, real part |
| 3.2b | 0% | _divideComplex, imaginary part |
| 2.9b | 77.4% | Octave 3.8, jcobi/1 |
| 1.6b | 0% | Jmat.Real.lambertw, newton loop step |