| 94× | intervals |
| 6.5m | 100099× | body | 10240 | exit |
| 1.2m | 400273× | body | 80 | valid |
| 37.1s | 26434× | body | 1280 | valid |
| 20.6s | 20165× | body | 640 | valid |
| 12.0s | 70231× | body | 80 | nan |
| 7.7s | 10889× | body | 320 | valid |
| 4.7s | 1613× | body | 1280 | nan |
| 4.0s | 1339× | body | 640 | nan |
| 2.3s | 49536× | pre | 80 | true |
| 2.0s | 5367× | body | 160 | valid |
| 1.7s | 1476× | body | 2560 | valid |
| 1.6s | 671× | body | 320 | nan |
| 653.0ms | 590× | body | 5120 | valid |
| 289.0ms | 321× | body | 160 | nan |
| 147× | rewrite-expression-head |
451 calls:
| 3.6m | (/ (+ (+ (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- (- 6 z) 1))) (+ (+ (+ (/ -176.6150291621406 (+ (+ 2 (- 1 z)) 1)) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))) (+ (/ -1259.1392167224028 (- 2 z)) (/ 771.3234287776531 (+ 2 (- 1 z)))))) (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- 7 z)))) (exp (+ (- 7 z) 0.5))) |
| 1.0m | (* (* (sqrt (* PI 2)) (pow (+ 0.5 (+ z 6)) (+ z (+ -1 0.5)))) (+ (/ -0.13857109526572012 (- z -5)) (+ (+ (/ 12.507343278686905 (+ z 4)) (+ (+ (+ (/ -1259.1392167224028 (+ 1 z)) (/ 771.3234287776531 (+ z 2))) 0.9999999999998099) (+ (/ 676.5203681218851 z) (/ -176.6150291621406 (+ z 3))))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7)))))) |
| 57.9s | (/ (+ (pow (- (+ (+ (/ 0.284496736 (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (/ (/ (/ 1.453152027 (exp (* (fabs x) (fabs x)))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (- 1 (/ (/ 0.254829592 (fma (fabs x) 0.3275911 1)) (exp (* (fabs x) (fabs x)))))) (/ (/ 1.061405429 (exp (* (fabs x) (fabs x)))) (pow (fma (fabs x) 0.3275911 1) 5))) 3) (pow (/ (- 1.421413741) (* (fma (fabs x) 0.3275911 1) (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))))) 3)) (+ (* (- (+ (+ (/ 0.284496736 (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (/ (/ (/ 1.453152027 (exp (* (fabs x) (fabs x)))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (- 1 (/ (/ 0.254829592 (fma (fabs x) 0.3275911 1)) (exp (* (fabs x) (fabs x)))))) (/ (/ 1.061405429 (exp (* (fabs x) (fabs x)))) (pow (fma (fabs x) 0.3275911 1) 5))) (- (+ (+ (/ 0.284496736 (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (/ (/ (/ 1.453152027 (exp (* (fabs x) (fabs x)))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (- 1 (/ (/ 0.254829592 (fma (fabs x) 0.3275911 1)) (exp (* (fabs x) (fabs x)))))) (/ (/ 1.061405429 (exp (* (fabs x) (fabs x)))) (pow (fma (fabs x) 0.3275911 1) 5)))) (- (* (/ (- 1.421413741) (* (fma (fabs x) 0.3275911 1) (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))))) (/ (- 1.421413741) (* (fma (fabs x) 0.3275911 1) (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))))) (* (- (+ (+ (/ 0.284496736 (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (/ (/ (/ 1.453152027 (exp (* (fabs x) (fabs x)))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (- 1 (/ (/ 0.254829592 (fma (fabs x) 0.3275911 1)) (exp (* (fabs x) (fabs x)))))) (/ (/ 1.061405429 (exp (* (fabs x) (fabs x)))) (pow (fma (fabs x) 0.3275911 1) 5))) (/ (- 1.421413741) (* (fma (fabs x) 0.3275911 1) (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))))))))) |
| 23.3s | (+ (pow (- (+ (+ (/ 0.284496736 (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (/ (/ (/ 1.453152027 (exp (* (fabs x) (fabs x)))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (- 1 (/ (/ 0.254829592 (fma (fabs x) 0.3275911 1)) (exp (* (fabs x) (fabs x)))))) (/ (/ 1.061405429 (exp (* (fabs x) (fabs x)))) (pow (fma (fabs x) 0.3275911 1) 5))) 3) (pow (/ (- 1.421413741) (* (fma (fabs x) 0.3275911 1) (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))))) 3)) |
| 21.1s | (/ (* (* (sqrt (* PI 2)) (pow (+ 0.5 (+ z 6)) (+ z (+ -1 0.5)))) (+ (/ -0.13857109526572012 (- z -5)) (+ (+ (/ 12.507343278686905 (+ z 4)) (+ (+ (+ (/ -1259.1392167224028 (+ 1 z)) (/ 771.3234287776531 (+ z 2))) 0.9999999999998099) (+ (/ 676.5203681218851 z) (/ -176.6150291621406 (+ z 3))))) (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7)))))) (exp (+ 0.5 (+ z 6)))) |
| 67107× | frac-add |
| 58471× | frac-sub |
| 49411× | frac-times |
| 36843× | *-un-lft-identity |
| 34734× | flip3-- flip-- |
| 31095× | associate-*l/ |
| 28214× | times-frac |
| 16933× | associate-*r/ |
| 15194× | add-sqr-sqrt |
| 14471× | flip-+ flip3-+ |
| 14277× | distribute-lft-out |
| 11981× | add-cube-cbrt |
| 8948× | associate-/r/ |
| 6423× | sqrt-prod |
| 3912× | prod-diff |
| 3775× | pow1 |
| 3575× | add-exp-log |
| 3250× | associate-*r* |
| 2901× | associate-+l+ |
| 2467× | add-cbrt-cube |
| 1520× | prod-exp |
| 1462× | associate-*l* |
| 1311× | distribute-rgt-in distribute-lft-in |
| 1284× | pow-prod-up |
| 1249× | distribute-lft-out-- |
| 1053× | unpow-prod-down |
| 939× | cbrt-unprod |
| 898× | div-exp |
| 859× | associate-/l* |
| 830× | div-inv |
| 696× | difference-of-squares |
| 680× | pow-plus |
| 639× | add-log-exp |
| 612× | pow-prod-down |
| 519× | cbrt-undiv |
| 509× | associate-/r* |
| 480× | sub-div |
| 456× | expm1-log1p-u |
| 452× | log1p-expm1-u |
| 451× | insert-posit16 |
| 433× | unswap-sqr |
| 336× | pow-div |
| 324× | sqr-pow |
| 298× | log-pow |
| 290× | associate-/l/ |
| 277× | pow-sqr |
| 266× | cbrt-prod |
| 229× | pow2 |
| 199× | sqrt-div |
| 184× | exp-sum |
| 178× | sqrt-pow1 |
| 157× | cube-prod |
| 155× | fma-def |
| 152× | fma-neg |
| 142× | 1-exp *-commutative |
| 139× | pow-exp |
| 127× | log-prod |
| 106× | pow-flip |
| 104× | rec-exp |
| 96× | inv-pow |
| 90× | frac-2neg clear-num |
| 84× | swap-sqr |
| 77× | pow1/2 |
| 76× | pow-to-exp |
| 69× | pow1/3 associate--r+ sub-neg |
| 66× | fma-udef |
| 64× | sum-log |
| 55× | cube-unmult |
| 50× | cube-div |
| 42× | pow3 |
| 41× | diff-log |
| 37× | cbrt-div |
| 34× | associate--l+ |
| 33× | +-commutative |
| 19× | div-sub rem-sqrt-square |
| 17× | exp-prod |
| 15× | distribute-rgt-out |
| 14× | distribute-rgt1-in hypot-udef |
| 12× | sin-sum associate-+r+ pow-unpow |
| 11× | rem-log-exp |
| 10× | hypot-def log-div |
| 9× | distribute-lft-neg-in distribute-rgt-neg-in |
| 8× | associate-+l- |
| 7× | exp-to-pow |
| 6× | exp-diff log1p-expm1 distribute-frac-neg sqrt-unprod sum-cubes pow-pow log1p-udef |
| 5× | expm1-udef difference-cubes |
| 4× | cube-neg unpow-prod-up distribute-neg-in un-div-inv unsub-neg |
| 3× | expm1-log1p distribute-lft-neg-out unpow3 neg-mul-1 cube-mult |
| 2× | associate-+r- distribute-rgt-neg-out rem-square-sqrt associate--r- pow-sub |
| 1× | rem-cube-cbrt distribute-rgt-out-- neg-sub0 rem-exp-log cos-sum rem-cbrt-cube |
451 calls:
| 9.8s | (/ (+ (pow (- (+ (+ (/ 0.284496736 (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (/ (/ (/ 1.453152027 (exp (* (fabs x) (fabs x)))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (- 1 (/ (/ 0.254829592 (fma (fabs x) 0.3275911 1)) (exp (* (fabs x) (fabs x)))))) (/ (/ 1.061405429 (exp (* (fabs x) (fabs x)))) (pow (fma (fabs x) 0.3275911 1) 5))) 3) (pow (/ (- 1.421413741) (* (fma (fabs x) 0.3275911 1) (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))))) 3)) (+ (* (- (+ (+ (/ 0.284496736 (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (/ (/ (/ 1.453152027 (exp (* (fabs x) (fabs x)))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (- 1 (/ (/ 0.254829592 (fma (fabs x) 0.3275911 1)) (exp (* (fabs x) (fabs x)))))) (/ (/ 1.061405429 (exp (* (fabs x) (fabs x)))) (pow (fma (fabs x) 0.3275911 1) 5))) (- (+ (+ (/ 0.284496736 (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (/ (/ (/ 1.453152027 (exp (* (fabs x) (fabs x)))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (- 1 (/ (/ 0.254829592 (fma (fabs x) 0.3275911 1)) (exp (* (fabs x) (fabs x)))))) (/ (/ 1.061405429 (exp (* (fabs x) (fabs x)))) (pow (fma (fabs x) 0.3275911 1) 5)))) (- (* (/ (- 1.421413741) (* (fma (fabs x) 0.3275911 1) (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))))) (/ (- 1.421413741) (* (fma (fabs x) 0.3275911 1) (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))))) (* (- (+ (+ (/ 0.284496736 (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (/ (/ (/ 1.453152027 (exp (* (fabs x) (fabs x)))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (- 1 (/ (/ 0.254829592 (fma (fabs x) 0.3275911 1)) (exp (* (fabs x) (fabs x)))))) (/ (/ 1.061405429 (exp (* (fabs x) (fabs x)))) (pow (fma (fabs x) 0.3275911 1) 5))) (/ (- 1.421413741) (* (fma (fabs x) 0.3275911 1) (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))))))))) |
| 6.9s | (+ (pow (- (+ (+ (/ 0.284496736 (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (/ (/ (/ 1.453152027 (exp (* (fabs x) (fabs x)))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1)))) (- 1 (/ (/ 0.254829592 (fma (fabs x) 0.3275911 1)) (exp (* (fabs x) (fabs x)))))) (/ (/ 1.061405429 (exp (* (fabs x) (fabs x)))) (pow (fma (fabs x) 0.3275911 1) 5))) 3) (pow (/ (- 1.421413741) (* (fma (fabs x) 0.3275911 1) (* (exp (* (fabs x) (fabs x))) (* (fma (fabs x) 0.3275911 1) (fma (fabs x) 0.3275911 1))))) 3)) |
| 4.2s | (+ (pow (expm1 (log1p (* (/ (* (cbrt (+ alpha beta)) (cbrt (+ alpha beta))) (* (cbrt (fma 2 i (+ alpha beta))) (cbrt (fma 2 i (+ alpha beta))))) (* (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))) (/ (- beta alpha) (+ 2.0 (fma 2 i (+ alpha beta)))))))) 3) (pow 1.0 3)) |
| 3.2s | (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) (sqrt 1.0))) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i))) (- (+ (+ alpha beta) (* 2 i)) (sqrt 1.0)))) |
| 3.1s | (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) (sqrt 1.0))) (/ 1 (/ (- (+ (+ alpha beta) (* 2 i)) (sqrt 1.0)) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)))))) |
Total 35.9b remaining (31%)
Threshold costs 4.6b (4%)
| 8.9b | 16.1% | _divideComplex, real part |
| 7.6b | 33.2% | _divideComplex, imaginary part |
| 6.3b | 26.4% | Octave 3.8, jcobi/2 |
| 3.3b | 74% | Octave 3.8, jcobi/1 |
| 2.3b | 20.9% | Octave 3.8, jcobi/4 |