16345 calls:
| 2.3s | (/ (* (* (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i)) (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i))) (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i))) (* (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))))) |
| 1.8s | (/ (* (* (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma (+ (+ alpha beta) i) i (* beta alpha))) (* (* (* (+ (+ alpha beta) i) i) (* (+ (+ alpha beta) i) i)) (* (+ (+ alpha beta) i) i))) (* (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))))) |
| 1.8s | (/ (* (* (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i)) (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i))) (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i))) (* (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta))) (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta))))) |
| 1.7s | (/ (* (* (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma (+ (+ alpha beta) i) i (* beta alpha))) (* (* (* (+ (+ alpha beta) i) i) (* (+ (+ alpha beta) i) i)) (* (+ (+ alpha beta) i) i))) (* (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta))) (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta))))) |
| 1.6s | (/ (* (* (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))) (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))))) (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))))) (* (* (- (fma 2 i (+ alpha beta)) (sqrt 1.0)) (- (fma 2 i (+ alpha beta)) (sqrt 1.0))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0)))) |
| 89× | intervals |
| 6.8m | 104655× | body | 10240 | exit |
| 1.1m | 393022× | body | 80 | valid |
| 37.4s | 25886× | body | 1280 | valid |
| 20.5s | 20689× | body | 640 | valid |
| 10.8s | 70253× | body | 80 | nan |
| 9.0s | 3058× | body | 1280 | nan |
| 7.2s | 10572× | body | 320 | valid |
| 5.9s | 2570× | body | 640 | nan |
| 3.0s | 5640× | body | 160 | valid |
| 2.1s | 1184× | body | 320 | nan |
| 2.0s | 41536× | pre | 80 | true |
| 1.5s | 1333× | body | 2560 | valid |
| 1.1s | 669× | body | 160 | nan |
| 574.0ms | 589× | body | 5120 | valid |
| 144× | rewrite-expression-head |
434 calls:
| 1.3m | (* (/ 1 (exp (+ (- (- 1 z) -6) 0.5))) (+ (+ (/ 771.3234287776531 (+ (- 1 z) 2)) (+ (+ (+ (/ -1259.1392167224028 (+ (- 1 z) 1)) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))) (/ -176.6150291621406 (- 5 (+ z 1))))) (+ (+ (/ -0.13857109526572012 (- 7 (+ z 1))) (/ 12.507343278686905 (- 6 (+ z 1)))) (+ (/ 1.5056327351493116e-07 (- 9 (+ z 1))) (/ 9.984369578019572e-06 (- (- 1 z) -6)))))) |
| 1.3m | (* (/ 1 (exp (+ (- (- 1 z) -6) 0.5))) (+ (+ (/ 771.3234287776531 (+ (- 1 z) 2)) (+ (+ (+ (/ -1259.1392167224028 (+ (- 1 z) 1)) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))) (/ -176.6150291621406 (- 5 (+ z 1))))) (+ (+ (/ -0.13857109526572012 (- 7 (+ z 1))) (/ 12.507343278686905 (- 6 (+ z 1)))) (+ (/ 1.5056327351493116e-07 (- 9 (+ z 1))) (/ 9.984369578019572e-06 (- (- 1 z) -6)))))) |
| 11.5s | (* (/ 1 (exp (+ (- (- 1 z) -6) 0.5))) (+ (+ (/ 771.3234287776531 (+ (- 1 z) 2)) (/ (fma (fma (+ (/ -1259.1392167224028 (+ 1 (- 1 z))) 0.9999999999998099) (* (+ (/ -1259.1392167224028 (+ 1 (- 1 z))) 0.9999999999998099) (+ (/ -1259.1392167224028 (+ 1 (- 1 z))) 0.9999999999998099)) (* (* (/ 676.5203681218851 (- 1 z)) (/ 676.5203681218851 (- 1 z))) (/ 676.5203681218851 (- 1 z)))) (- 4 z) (* -176.6150291621406 (fma (+ (/ -1259.1392167224028 (+ 1 (- 1 z))) 0.9999999999998099) (+ (/ -1259.1392167224028 (+ 1 (- 1 z))) 0.9999999999998099) (* (- (/ 676.5203681218851 (- 1 z)) (+ (/ -1259.1392167224028 (+ 1 (- 1 z))) 0.9999999999998099)) (/ 676.5203681218851 (- 1 z)))))) (* (fma (+ (/ -1259.1392167224028 (+ 1 (- 1 z))) 0.9999999999998099) (+ (/ -1259.1392167224028 (+ 1 (- 1 z))) 0.9999999999998099) (- (* (/ 676.5203681218851 (- 1 z)) (/ 676.5203681218851 (- 1 z))) (* (+ (/ -1259.1392167224028 (+ 1 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))) (- 4 z)))) (+ (+ (/ -0.13857109526572012 (- 7 (+ z 1))) (/ 12.507343278686905 (- 6 (+ z 1)))) (+ (/ 1.5056327351493116e-07 (- 9 (+ z 1))) (/ 9.984369578019572e-06 (- (- 1 z) -6)))))) |
| 8.8s | (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) |
| 2.7s | (+ (+ (+ (/ -1259.1392167224028 (+ (- 1 z) 1)) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))) (/ -176.6150291621406 (- 5 (+ z 1)))) |
| 24053× | frac-times |
| 16056× | associate-*r/ |
| 13698× | *-un-lft-identity |
| 10521× | times-frac |
| 9433× | associate-*l/ |
| 8264× | frac-add |
| 7581× | exp-neg |
| 7477× | flip-+ flip3-+ |
| 7105× | add-sqr-sqrt |
| 6505× | exp-diff |
| 6498× | neg-sub0 |
| 5661× | add-cube-cbrt |
| 4544× | distribute-lft-out |
| 3240× | add-exp-log |
| 2156× | pow1 |
| 2053× | add-cbrt-cube |
| 1406× | prod-exp |
| 1256× | associate-*r* |
| 1234× | prod-diff |
| 1203× | associate-*l* |
| 1190× | sqrt-prod |
| 1089× | un-div-inv |
| 813× | div-exp |
| 785× | cbrt-unprod |
| 683× | cbrt-prod |
| 616× | associate-/l* |
| 591× | add-log-exp |
| 545× | pow-prod-down |
| 460× | pow-prod-up |
| 436× | div-inv |
| 435× | expm1-log1p-u |
| 434× | log1p-expm1-u insert-posit16 |
| 413× | cbrt-undiv |
| 392× | associate-/r* |
| 328× | associate-/r/ |
| 322× | distribute-rgt-in distribute-lft-in |
| 314× | difference-of-squares |
| 306× | unswap-sqr |
| 260× | flip3-- flip-- |
| 240× | distribute-lft-out-- |
| 237× | unpow-prod-down |
| 219× | pow-plus |
| 210× | cbrt-div |
| 200× | swap-sqr |
| 196× | log-prod |
| 194× | log-pow |
| 171× | exp-sum |
| 169× | sqrt-pow1 |
| 150× | 1-exp |
| 144× | fma-def |
| 143× | *-commutative |
| 136× | rec-exp |
| 133× | pow1/2 |
| 128× | fma-neg |
| 123× | pow1/3 associate-/l/ |
| 120× | pow-sqr |
| 110× | sqr-pow |
| 98× | pow-exp |
| 93× | associate-+l+ |
| 76× | frac-2neg pow2 clear-num |
| 64× | sum-log |
| 61× | sub-neg |
| 59× | pow-to-exp |
| 58× | fma-udef |
| 55× | associate-+r+ sqrt-div |
| 44× | cube-prod |
| 37× | exp-prod |
| 34× | +-commutative |
| 32× | pow-div |
| 27× | unpow-prod-up |
| 26× | rem-sqrt-square |
| 25× | diff-log |
| 23× | cube-unmult cube-mult |
| 22× | frac-sub unpow3 |
| 21× | pow-flip inv-pow |
| 18× | cube-div distribute-rgt-out |
| 16× | sin-sum |
| 15× | pow-unpow sqrt-unprod rem-log-exp div-sub |
| 14× | distribute-rgt1-in associate--l+ |
| 10× | pow-pow log-div |
| 9× | associate-+l- |
| 8× | pow3 hypot-def pow-sub |
| 7× | rem-exp-log |
| 4× | rem-cube-cbrt associate--r+ rem-square-sqrt |
| 3× | hypot-udef rem-cbrt-cube sin-diff |
| 2× | expm1-log1p expm1-udef associate--r- |
| 1× | associate-+r- distribute-lft1-in distribute-rgt-out-- log1p-expm1 associate--l- difference-of-sqr-1 difference-cubes cos-sum unpow1/3 expm1-def log1p-udef |
434 calls:
| 4.2s | (- (pow 1 3) (pow (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)) |
| 3.7s | (+ (* (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x)))))) (* 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))) |
| 1.5s | (/ 1 (/ 6 (pow (* -2 (log u1)) 0.5))) |
| 1.3s | (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) |
| 1.1s | (- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x)))))) |
Total 23.0b remaining (16.5%)
| 6.4b | 6% | Octave 3.8, jcobi/2 |
| 3.4b | 73.7% | Octave 3.8, jcobi/1 |
| 2.6b | 0% | _divideComplex, imaginary part |
| 2.6b | 0% | _divideComplex, real part |
| 2.5b | 9.4% | Octave 3.8, jcobi/4 |