| 161× | rewrite-expression-head |
466 calls:
| 2.0m | (+ (pow (/ (/ 1 (sqrt 1)) (/ (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (/ (+ alpha beta) (sqrt 1)))) 3) (pow 1.0 3)) |
| 51.1s | (* (/ (sqrt (+ (+ (+ (+ (+ 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))))) (/ (+ (+ (* (* (pow x 2) (* (pow x 2) (* (pow x 2) (* (pow x 2) (* x (pow x 3)))))) (* 2.0 0.0001789971)) (+ (+ (* (* (pow x 2) (* x (pow x 3))) 0.0694555761) 1.0) (* (pow x 2) (+ 0.7715471019 (* 0.2909738639 (pow x 2)))))) (* (pow x 2) (+ (* 0.0140005442 (* (* (* x x) x) (* (* x x) x))) (* 0.0008327945 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))))) (sqrt (+ (+ (+ (+ (+ 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))))))) x) |
| 47.6s | (/ (+ (+ (* (* (pow x 2) (* (pow x 2) (* (pow x 2) (* (pow x 2) (* x (pow x 3)))))) (* 2.0 0.0001789971)) (+ (+ (* (* (pow x 2) (* x (pow x 3))) 0.0694555761) 1.0) (* (pow x 2) (+ 0.7715471019 (* 0.2909738639 (pow x 2)))))) (* (pow x 2) (+ (* 0.0140005442 (* (* (* x x) x) (* (* x x) x))) (* 0.0008327945 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))))) (sqrt (+ (+ (+ (+ (+ 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)))))) |
| 38.5s | (+ (/ (/ 1 (sqrt 1)) (/ (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (/ (+ alpha beta) (sqrt 1)))) 1.0) |
| 27.3s | (/ (sqrt (+ (+ (+ (+ (+ 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))))) (/ (+ (+ (* (* (pow x 2) (* (pow x 2) (* (pow x 2) (* (pow x 2) (* x (pow x 3)))))) (* 2.0 0.0001789971)) (+ (+ (* (* (pow x 2) (* x (pow x 3))) 0.0694555761) 1.0) (* (pow x 2) (+ 0.7715471019 (* 0.2909738639 (pow x 2)))))) (* (pow x 2) (+ (* 0.0140005442 (* (* (* x x) x) (* (* x x) x))) (* 0.0008327945 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))))) (sqrt (+ (+ (+ (+ (+ 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))))))) |
| 342899× | times-frac |
| 198328× | *-un-lft-identity |
| 137042× | add-sqr-sqrt |
| 117879× | add-cube-cbrt |
| 52532× | sqrt-prod |
| 31092× | distribute-lft-out |
| 9268× | difference-of-squares |
| 9171× | distribute-lft-out-- |
| 9135× | div-inv |
| 7434× | associate-/r/ |
| 3714× | flip-+ flip3-+ |
| 3499× | associate-/r* |
| 3063× | add-exp-log |
| 2262× | add-cbrt-cube |
| 1728× | pow1 |
| 1381× | unpow-prod-down |
| 1172× | prod-exp |
| 1115× | cbrt-prod |
| 1002× | associate-*r* |
| 923× | associate-*l* |
| 870× | associate-/l* |
| 788× | div-exp |
| 738× | add-log-exp |
| 735× | cbrt-unprod |
| 583× | cube-prod |
| 545× | frac-times |
| 531× | cbrt-undiv |
| 417× | pow-prod-down |
| 416× | associate-*r/ |
| 330× | sqrt-div |
| 305× | associate-*l/ |
| 283× | cbrt-div |
| 271× | sqrt-pow1 |
| 258× | pow-exp |
| 256× | log-pow unswap-sqr |
| 193× | sqr-pow |
| 178× | swap-sqr |
| 176× | flip3-- flip-- |
| 157× | pow1/2 pow-unpow |
| 148× | pow-to-exp |
| 135× | cube-div |
| 132× | log-prod |
| 128× | *-commutative |
| 118× | associate-/l/ |
| 115× | pow-prod-up |
| 96× | exp-neg |
| 88× | exp-diff pow1/3 diff-log |
| 87× | frac-2neg clear-num |
| 84× | neg-sub0 |
| 82× | sub-neg |
| 80× | distribute-rgt-in distribute-lft-in |
| 67× | pow-sqr |
| 65× | 1-exp pow-plus |
| 59× | sum-log |
| 58× | rem-sqrt-square |
| 57× | pow-pow |
| 56× | rec-exp |
| 52× | unpow3 cube-mult |
| 45× | exp-prod |
| 43× | rem-cube-cbrt |
| 40× | distribute-neg-frac |
| 37× | pow2 |
| 36× | frac-add +-commutative associate--l+ |
| 20× | distribute-rgt-neg-in distribute-lft-neg-in |
| 19× | associate-+l+ exp-sum |
| 17× | un-div-inv |
| 16× | rem-exp-log associate--l- |
| 12× | div-sub |
| 11× | rem-log-exp |
| 10× | log-div |
| 8× | associate-+r+ inv-pow pow-flip |
| 7× | pow3 distribute-neg-in rem-cbrt-cube neg-mul-1 |
| 6× | sum-cubes sin-sum exp-to-pow |
| 5× | sqrt-unprod rem-square-sqrt neg-log associate-+l- |
| 4× | sqrt-pow2 associate-+r- frac-sub associate--r+ |
| 3× | distribute-rgt-neg-out |
| 2× | pow-div difference-cubes distribute-lft-neg-out cube-unmult |
| 1× | cos-sum distribute-rgt-out-- unpow-prod-up pow-sub distribute-frac-neg |
466 calls:
| 4.0m | (- (pow (pow 1.0 3) 3) (pow (* (sqrt (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)) (sqrt (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))) 3)) |
| 4.9s | (- (pow 1.0 3) (* (sqrt (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)) (sqrt (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)))) |
| 4.8s | (+ (pow (/ (/ 1 (sqrt 1)) (/ (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (/ (+ alpha beta) (sqrt 1)))) 3) (pow 1.0 3)) |
| 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 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)) |
| 3.3s | (* (* (/ (/ (* 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)))) (/ 1 (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)))) |
| 99× | intervals |
| 1.2m | 11958× | body | 10240 | exit |
| 1.2m | 527603× | body | 80 | valid |
| 26.1s | 26768× | body | 1280 | valid |
| 12.6s | 20735× | body | 640 | valid |
| 6.1s | 70392× | body | 80 | nan |
| 5.2s | 1595× | body | 1280 | nan |
| 3.4s | 10742× | body | 320 | valid |
| 2.7s | 687× | body | 320 | nan |
| 2.3s | 1312× | body | 640 | nan |
| 2.2s | 49536× | pre | 80 | true |
| 2.2s | 9544× | body | 160 | valid |
| 1.2s | 1477× | body | 2560 | valid |
| 774.0ms | 369× | body | 160 | nan |
| 365.0ms | 571× | body | 5120 | valid |
Total 98.5b remaining (33.6%)
Threshold costs 4.6b (1.6%)
| 12.4b | 42% | math.sqrt on complex, real part |
| 10.8b | 55.9% | math.log10 on complex, real part |
| 10.7b | 56.4% | math.log/1 on complex, real part |
| 10.3b | 57.5% | math.log/2 on complex, real part |
| 10.0b | 57.8% | math.abs on complex |