| 153× | 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)))) |
| 57.2s | (log (exp (/ (+ (/ 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)))))) |
| 42.0s | (/ (+ (/ 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)))) |
| 7.8s | (+ (+ (+ (/ 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))))) |
| 6.1s | (* (/ (+ (* (* (* (* 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)))))) x) |
| 47206× | frac-times |
| 31206× | associate-*r/ |
| 18311× | associate-*l/ |
| 15184× | exp-neg |
| 14066× | frac-add |
| 13646× | flip-+ flip3-+ |
| 13030× | exp-diff |
| 13018× | neg-sub0 |
| 9538× | *-un-lft-identity |
| 8197× | times-frac |
| 7388× | add-sqr-sqrt |
| 5402× | add-cube-cbrt |
| 4040× | pow1 |
| 3111× | add-exp-log |
| 2409× | distribute-lft-out |
| 2380× | add-cbrt-cube |
| 2188× | un-div-inv |
| 1891× | sqrt-prod |
| 1668× | associate-*r* |
| 1387× | prod-diff |
| 1369× | pow-prod-up |
| 1345× | prod-exp |
| 1164× | associate-*l* |
| 920× | cbrt-unprod |
| 881× | pow-prod-down |
| 841× | add-log-exp |
| 745× | div-exp |
| 681× | pow-plus |
| 533× | difference-of-squares |
| 530× | unpow-prod-down |
| 525× | associate-/l* |
| 447× | associate-/r* |
| 443× | log1p-expm1-u |
| 441× | expm1-log1p-u div-inv |
| 427× | cube-prod |
| 416× | cbrt-undiv |
| 372× | distribute-lft-out-- |
| 365× | pow-sqr |
| 339× | unswap-sqr |
| 315× | associate-/r/ |
| 302× | swap-sqr |
| 267× | pow-exp |
| 265× | cbrt-prod |
| 258× | exp-sum |
| 257× | log-pow |
| 250× | pow2 |
| 238× | associate-/l/ |
| 227× | sum-log |
| 222× | sqr-pow |
| 205× | exp-prod |
| 202× | cbrt-div |
| 185× | fma-neg |
| 175× | fma-def |
| 167× | flip3-- flip-- |
| 163× | *-commutative |
| 151× | 1-exp |
| 143× | rec-exp |
| 128× | sqrt-div |
| 117× | pow-to-exp |
| 101× | unpow3 cube-mult |
| 99× | pow1/3 |
| 94× | distribute-rgt-in distribute-lft-in |
| 90× | cube-div |
| 81× | frac-2neg clear-num |
| 68× | sub-neg |
| 66× | sqrt-pow1 |
| 61× | cube-unmult |
| 56× | log-prod |
| 55× | pow1/2 |
| 52× | fma-udef |
| 48× | diff-log |
| 47× | associate--l+ |
| 31× | +-commutative |
| 24× | associate-+l+ pow-unpow distribute-rgt-out-- |
| 23× | frac-sub |
| 21× | pow-pow distribute-rgt-out |
| 20× | rem-cube-cbrt div-sub |
| 19× | pow-flip |
| 18× | distribute-rgt1-in |
| 17× | rem-sqrt-square |
| 15× | pow3 distribute-rgt-neg-in |
| 11× | associate-+r+ |
| 9× | inv-pow hypot-def |
| 6× | distribute-lft-neg-in associate--r+ |
| 5× | cos-sum rem-exp-log |
| 4× | sin-sum neg-log associate--l- associate-+l- rem-log-exp |
| 3× | sqrt-unprod sub-div associate-+r- rem-square-sqrt rem-cbrt-cube unsub-neg log1p-udef |
| 2× | expm1-log1p expm1-udef log1p-expm1 difference-cubes hypot-udef |
| 1× | unpow-prod-up neg-mul-1 exp-to-pow distribute-neg-in associate--r- pow-sub log-div |
437 calls:
| 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 (- (* (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))))))) |
| 3.5s | (* (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) (/ (sqrt (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i)))) 1)) (/ (sqrt (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i)))) (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)))) |
| 3.4s | (* (/ (/ (* 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)))) |
| 3.3s | (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) (sqrt (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i))) (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))))) |
| 98× | intervals |
| 53.2s | 11978× | body | 10240 | exit |
| 50.0s | 450253× | body | 80 | valid |
| 26.8s | 27048× | body | 1280 | valid |
| 12.5s | 21157× | body | 640 | valid |
| 6.8s | 70443× | body | 80 | nan |
| 5.1s | 10846× | body | 320 | valid |
| 3.1s | 1557× | body | 1280 | nan |
| 2.5s | 1342× | body | 640 | nan |
| 1.4s | 49536× | pre | 80 | true |
| 1.2s | 5664× | body | 160 | valid |
| 732.0ms | 1395× | body | 2560 | valid |
| 541.0ms | 693× | body | 320 | nan |
| 389.0ms | 616× | body | 5120 | valid |
| 181.0ms | 327× | body | 160 | nan |
Total 29.8b remaining (21.9%)
Threshold costs 4.7b (3.5%)
| 7.3b | 34% | _divideComplex, imaginary part |
| 6.4b | -1.2% | Octave 3.8, jcobi/2 |
| 3.3b | -14.4% | _divideComplex, real part |
| 3.1b | 75.1% | Octave 3.8, jcobi/1 |
| 2.3b | 36.3% | Octave 3.8, jcobi/4 |