| 100× | intervals |
| 1.4m | 16218× | body | 10240 | exit |
| 51.1s | 452669× | body | 80 | valid |
| 30.2s | 30691× | body | 1280 | valid |
| 16.7s | 23544× | body | 640 | valid |
| 7.5s | 69725× | body | 80 | nan |
| 6.9s | 3170× | body | 1280 | nan |
| 6.4s | 12027× | body | 320 | valid |
| 3.7s | 2580× | body | 640 | nan |
| 2.6s | 10167× | body | 160 | valid |
| 2.3s | 1339× | body | 320 | nan |
| 2.1s | 49536× | pre | 80 | true |
| 971.0ms | 1473× | body | 2560 | valid |
| 588.0ms | 654× | body | 160 | nan |
| 304.0ms | 636× | body | 5120 | valid |
| 161× | rewrite-expression-head |
485 calls:
| 1.2m | (* (+ (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) (+ (+ (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) (/ -0.13857109526572012 (+ 6.0 (- z 1.0)))) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ -176.6150291621406 (+ 4.0 (- z 1.0)))) (+ (/ 771.3234287776531 (+ 3.0 (- z 1.0))) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 676.5203681218851 z) 0.9999999999998099)))))) (* (/ (pow (+ 0.5 (+ 7.0 (- z 1.0))) (+ 0.5 (- z 1.0))) (exp (+ 0.5 (+ 7.0 (- z 1.0))))) (sqrt (* 2.0 PI)))) |
| 1.1m | (* (+ (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) (+ (+ (/ 9.984369578019572e-06 (+ 7.0 (- z 1.0))) (/ -0.13857109526572012 (+ 6.0 (- z 1.0)))) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ -176.6150291621406 (+ 4.0 (- z 1.0)))) (+ (/ 771.3234287776531 (+ 3.0 (- z 1.0))) (+ (/ -1259.1392167224028 (+ 2.0 (- z 1.0))) (+ (/ 676.5203681218851 z) 0.9999999999998099)))))) (/ (pow (+ 0.5 (+ 7.0 (- z 1.0))) (+ 0.5 (- z 1.0))) (exp (+ 0.5 (+ 7.0 (- z 1.0)))))) |
| 9.2s | (+ (+ (/ 9.984369578019572e-06 (+ 7.0 (- 0 z))) (/ 12.507343278686905 (+ (- 0 z) 5.0))) (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (+ (+ (/ 771.3234287776531 (+ 3.0 (- 0 z))) (/ -176.6150291621406 (+ (- 0 z) 4.0))) (/ -1259.1392167224028 (+ (- 0 z) 2.0))))) |
| 3.1s | (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (+ (+ (/ 771.3234287776531 (+ 3.0 (- 0 z))) (/ -176.6150291621406 (+ (- 0 z) 4.0))) (/ -1259.1392167224028 (+ (- 0 z) 2.0)))) |
| 1.2s | (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) (/ 1 (/ (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i)))))) |
| 29328× | times-frac |
| 24705× | frac-times |
| 18242× | *-un-lft-identity |
| 16666× | add-sqr-sqrt |
| 15963× | associate-*r/ |
| 11965× | add-cube-cbrt |
| 9826× | associate-*l/ |
| 8131× | flip-+ flip3-+ |
| 7864× | exp-neg |
| 7708× | frac-add |
| 6744× | exp-diff |
| 6740× | neg-sub0 |
| 4548× | sqrt-prod |
| 3623× | pow1 |
| 3042× | add-exp-log |
| 2553× | add-cbrt-cube |
| 2231× | distribute-lft-out |
| 1902× | associate-/r/ |
| 1894× | difference-of-squares |
| 1569× | associate-*r* |
| 1315× | div-inv |
| 1202× | prod-exp |
| 1141× | associate-*l* |
| 1135× | un-div-inv |
| 1047× | distribute-lft-out-- |
| 1024× | pow-prod-up |
| 955× | cbrt-unprod |
| 843× | pow-prod-down |
| 800× | associate-/l* |
| 776× | cbrt-prod |
| 719× | add-log-exp |
| 717× | div-exp |
| 653× | prod-diff |
| 645× | associate-/r* |
| 547× | pow-plus |
| 511× | cbrt-undiv |
| 487× | log1p-expm1-u |
| 486× | expm1-log1p-u |
| 323× | unswap-sqr |
| 308× | pow-sqr |
| 209× | unpow-prod-down |
| 198× | pow2 |
| 192× | swap-sqr |
| 190× | fma-def |
| 181× | sqrt-pow1 |
| 163× | *-commutative |
| 157× | exp-sum |
| 150× | log-pow |
| 121× | sum-log sqrt-div |
| 120× | pow-exp |
| 114× | flip3-- flip-- |
| 113× | distribute-rgt-in distribute-lft-in |
| 112× | fma-neg |
| 96× | pow1/3 |
| 92× | frac-2neg clear-num |
| 87× | cbrt-div |
| 79× | fma-udef |
| 72× | pow1/2 |
| 70× | sqr-pow associate-/l/ |
| 69× | 1-exp |
| 68× | log-prod |
| 67× | rec-exp |
| 57× | pow-to-exp |
| 54× | cube-div |
| 51× | cube-prod |
| 43× | cube-unmult |
| 41× | sub-neg |
| 40× | exp-prod |
| 38× | pow3 |
| 37× | +-commutative |
| 31× | pow-unpow rem-sqrt-square |
| 26× | unpow3 cube-mult |
| 25× | diff-log |
| 23× | distribute-rgt-out |
| 20× | associate-+l+ frac-sub |
| 19× | distribute-rgt1-in pow-pow |
| 17× | div-sub |
| 16× | associate-+r+ |
| 15× | unpow-prod-up |
| 12× | rem-cube-cbrt |
| 11× | hypot-def |
| 10× | pow-flip |
| 9× | distribute-lft-neg-in associate-+r- distribute-rgt-neg-in |
| 7× | inv-pow |
| 6× | sin-sum |
| 5× | associate--r+ associate--l+ rem-exp-log cos-sum |
| 4× | expm1-log1p expm1-udef neg-log |
| 3× | pow-sub associate-+l- |
| 2× | sqrt-undiv log1p-expm1 log1p-udef sqrt-unprod neg-mul-1 hypot-udef rem-square-sqrt count-2 rem-log-exp |
| 1× | distribute-rgt-neg-out difference-cubes distribute-neg-in rem-cbrt-cube associate--r- log-div |
485 calls:
| 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 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)) |
| 3.9s | (+ (* (* (* (/ 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 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (cbrt (+ 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 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (cbrt (+ 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 (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (cbrt (+ 1.0 (* 0.3275911 (fabs x))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))) |
| 3.7s | (* (/ (/ (* 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)))) |
| 3.6s | (/ (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) (/ (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i))))) |
| 3.5s | (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) (/ 1 (/ (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i)))))) |
Total 25.4b remaining (16.9%)
Threshold costs 8.3b (5.5%)
| 7.8b | 32.5% | _divideComplex, real part |
| 3.0b | -1.8% | _divideComplex, imaginary part |
| 2.8b | 76.8% | Octave 3.8, jcobi/1 |
| 2.3b | 37.2% | Octave 3.8, jcobi/4 |
| 1.2b | 68.7% | Octave 3.8, jcobi/3 |