| 99× | intervals |
| 1.4m | 15908× | body | 10240 | exit |
| 50.7s | 435680× | body | 80 | valid |
| 35.8s | 30526× | body | 1280 | valid |
| 17.4s | 23536× | body | 640 | valid |
| 7.5s | 69906× | body | 80 | nan |
| 6.5s | 3002× | body | 1280 | nan |
| 5.8s | 12105× | body | 320 | valid |
| 4.5s | 2648× | body | 640 | nan |
| 4.0s | 9946× | body | 160 | valid |
| 3.0s | 1329× | body | 320 | nan |
| 2.0s | 49536× | pre | 80 | true |
| 1.5s | 1451× | body | 2560 | valid |
| 455.0ms | 595× | body | 160 | nan |
| 385.0ms | 589× | body | 5120 | valid |
| 148× | rewrite-expression-head |
433 calls:
| 1.5m | (* (/ (* (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))) (+ (+ (+ (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (+ (/ 676.5203681218851 z) (+ (/ -1259.1392167224028 (+ (- z 1.0) 2.0)) 0.9999999999998099)))))) |
| 24.9s | (* (/ (+ (+ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* 0.0424060604 (* (* x x) (* x x)))) (* 0.0072644182 (* (* (* x x) (* x x)) (* x x)))) (* 0.0005064034 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0001789971 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1.0 (* 0.7715471019 (* x x))) (* 0.2909738639 (* (* x x) (* x x)))) (* 0.0694555761 (* (* (* x x) (* x x)) (* x x)))) (* 0.0140005442 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0008327945 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2.0 0.0001789971) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) |
| 24.5s | (+ (/ -1259.1392167224028 (+ (- z) 2.0)) (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) (+ (/ 12.507343278686905 (+ 5.0 (- z))) (+ (/ 1.5056327351493116e-07 (+ 8.0 (- z))) (+ (/ 9.984369578019572e-06 (+ (- z) 7.0)) (/ -0.13857109526572012 (+ 6.0 (- z)))))))) |
| 13.9s | (/ (+ (+ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* 0.0424060604 (* (* x x) (* x x)))) (* 0.0072644182 (* (* (* x x) (* x x)) (* x x)))) (* 0.0005064034 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0001789971 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1.0 (* 0.7715471019 (* x x))) (* 0.2909738639 (* (* x x) (* x x)))) (* 0.0694555761 (* (* (* x x) (* x x)) (* x x)))) (* 0.0140005442 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0008327945 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2.0 0.0001789971) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) |
| 2.2s | (* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))) |
| 57062× | times-frac |
| 35269× | *-un-lft-identity |
| 25210× | add-sqr-sqrt |
| 23424× | add-cube-cbrt |
| 12654× | sqrt-prod |
| 5613× | distribute-lft-out |
| 2248× | add-exp-log |
| 1700× | add-cbrt-cube |
| 1675× | div-inv |
| 1212× | pow1 |
| 1030× | frac-add |
| 1022× | associate-*l* |
| 1019× | prod-diff |
| 868× | associate-/r* |
| 762× | associate-*r* |
| 718× | prod-exp |
| 666× | add-log-exp |
| 648× | associate-/l* |
| 641× | associate-*r/ |
| 548× | flip-+ flip3-+ |
| 538× | cbrt-prod |
| 535× | div-exp |
| 501× | cbrt-unprod |
| 487× | difference-of-squares |
| 475× | frac-times |
| 465× | associate-/r/ |
| 444× | distribute-lft-out-- |
| 434× | log1p-expm1-u |
| 433× | expm1-log1p-u |
| 430× | associate-*l/ |
| 381× | cbrt-undiv |
| 334× | flip-- flip3-- |
| 316× | pow-prod-down |
| 313× | distribute-rgt-in distribute-lft-in |
| 294× | unswap-sqr |
| 288× | unpow-prod-down |
| 205× | swap-sqr |
| 181× | cube-prod |
| 143× | sqrt-div |
| 135× | exp-sum |
| 134× | fma-neg |
| 130× | *-commutative |
| 125× | cbrt-div fma-def |
| 119× | sum-log |
| 118× | log-pow |
| 95× | frac-2neg clear-num |
| 89× | sqr-pow |
| 85× | sqrt-pow1 |
| 82× | pow1/3 |
| 79× | fma-udef |
| 78× | pow-exp |
| 76× | associate-/l/ |
| 68× | sub-neg |
| 67× | pow-unpow |
| 66× | 1-exp |
| 65× | pow1/2 |
| 57× | rec-exp |
| 50× | log-prod |
| 49× | associate--l+ |
| 47× | pow-to-exp |
| 38× | diff-log |
| 37× | pow-prod-up |
| 36× | unpow3 cube-mult |
| 32× | pow-flip |
| 28× | pow-sqr |
| 24× | pow-pow |
| 23× | +-commutative |
| 22× | distribute-rgt-neg-in |
| 21× | hypot-udef |
| 19× | distribute-lft-neg-in |
| 17× | rem-cube-cbrt div-sub |
| 14× | cube-div inv-pow |
| 13× | pow2 pow-plus |
| 11× | associate-+l- |
| 10× | rem-sqrt-square |
| 9× | associate-+r+ |
| 6× | pow-div exp-prod |
| 5× | un-div-inv sqrt-unprod pow-sub neg-mul-1 associate--l- |
| 4× | cos-sum sin-sum unpow-prod-up rem-square-sqrt associate--r+ rem-log-exp |
| 3× | exp-diff associate-+l+ hypot-def |
| 2× | sqrt-pow2 distribute-neg-in sub-div distribute-rgt-out frac-sub rem-cbrt-cube unpow2 |
| 1× | log1p-udef log1p-expm1 expm1-log1p associate--r- distribute-rgt-neg-out expm1-udef |
433 calls:
| 3.8s | (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (* (/ (sqrt (+ (fma 2.0 i (+ alpha beta)) (sqrt 1.0))) (sqrt (/ (fma beta alpha (* i (+ (+ alpha beta) i))) (- (fma 2.0 i (+ alpha beta)) (sqrt 1.0))))) (* (/ (sqrt (+ (fma 2.0 i (+ alpha beta)) (sqrt 1.0))) (sqrt (/ (fma beta alpha (* i (+ (+ alpha beta) i))) (- (fma 2.0 i (+ alpha beta)) (sqrt 1.0))))) (fma 2.0 i (+ alpha beta))))) |
| 3.6s | (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (* (/ (+ (fma 2.0 i (+ alpha beta)) (sqrt 1.0)) (/ (fma beta alpha (* i (+ (+ alpha beta) i))) (- (fma 2.0 i (+ alpha beta)) (sqrt 1.0)))) (fma 2.0 i (+ alpha beta)))) |
| 2.4s | (fma (* (sqrt (/ 1 (sqrt (+ (fma 2.0 i (+ alpha beta)) 2.0)))) (* (sqrt (/ 1 (sqrt (+ (fma 2.0 i (+ alpha beta)) 2.0)))) (/ (/ (- beta alpha) (fabs (cbrt (+ (fma 2.0 i (+ alpha beta)) 2.0)))) (sqrt (cbrt (+ (fma 2.0 i (+ alpha beta)) 2.0)))))) (/ (+ alpha beta) (fma 2.0 i (+ alpha beta))) 1.0) |
| 2.3s | (+ (* (fma (- (/ 771.3234287776531 (- 3.0 z)) (+ (/ -176.6150291621406 (- 4.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))) (/ 771.3234287776531 (- 3.0 z)) (pow (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -176.6150291621406 (- 4.0 z))) 2)) (* (* (* (- 5.0 z) (- 7.0 z)) (* (- 6.0 z) (- 8.0 z))) -1259.1392167224028)) (* (fma (+ (pow (+ (/ -176.6150291621406 (- 4.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))) 3) (pow (/ 771.3234287776531 (- 3.0 z)) 3)) (* (* (* (+ (- z) 7.0) (- 6.0 z)) (- 8.0 z)) (- 5.0 z)) (* (fma (+ (/ -176.6150291621406 (- 4.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))) (+ (/ -176.6150291621406 (- 4.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z)))) (* (/ 771.3234287776531 (- 3.0 z)) (- (/ 771.3234287776531 (- 3.0 z)) (+ (/ -176.6150291621406 (- 4.0 z)) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))))))) (fma 12.507343278686905 (* (* (+ (- z) 7.0) (- 6.0 z)) (- 8.0 z)) (* (- 5.0 z) (fma 1.5056327351493116e-07 (* (+ (- z) 7.0) (- 6.0 z)) (* (- 8.0 z) (fma 9.984369578019572e-06 (- 6.0 z) (* (+ (- z) 7.0) -0.13857109526572012)))))))) (+ (- z) 2.0))) |
| 1.5s | (* (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) (- (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)) |
Total 23.5b remaining (20.7%)
Threshold costs 8.4b (7.4%)
| 7.8b | 30.9% | _divideComplex, real part |
| 3.8b | 72.4% | Octave 3.8, jcobi/1 |
| 2.4b | 35.4% | Octave 3.8, jcobi/4 |
| 1.1b | 58.7% | Octave 3.8, jcobi/3 |
| 0.8b | 0% | _divideComplex, imaginary part |