| 156× | rewrite-expression-head |
469 calls:
| 2.6s | (* (/ x (* (- (* (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0))) (* (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) (/ 1 (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))) (- (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) |
| 1.1s | (* (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (/ 1 (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))) |
| 805.0ms | (* (- (* (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0))) (* (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) (/ 1 (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))) |
| 798.0ms | (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))) |
| 604.0ms | (* (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2.0 1.0)))) (sqrt (+ (+ alpha beta) (* 2.0 1.0)))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2.0 1.0)))) (sqrt (+ (+ alpha beta) (* 2.0 1.0))))) |
| 7324× | times-frac |
| 6719× | associate-*r/ |
| 6656× | *-un-lft-identity |
| 6401× | add-sqr-sqrt |
| 5233× | flip-+ flip3-+ |
| 4412× | add-cube-cbrt |
| 4092× | add-exp-log |
| 3731× | frac-times |
| 2723× | sqrt-prod |
| 2640× | frac-add |
| 2394× | add-cbrt-cube |
| 2121× | prod-exp |
| 2026× | frac-sub |
| 2018× | associate-*r* |
| 1852× | associate-*l/ |
| 1762× | associate-*l* |
| 1691× | pow1 |
| 1414× | associate-/r/ |
| 898× | cbrt-unprod |
| 877× | distribute-lft-out |
| 801× | div-exp |
| 740× | add-log-exp |
| 492× | cbrt-prod |
| 491× | cbrt-undiv |
| 474× | associate-/l* |
| 465× | pow-prod-down |
| 438× | swap-sqr |
| 418× | difference-of-squares |
| 397× | pow-exp |
| 376× | unswap-sqr |
| 353× | associate-/r* |
| 329× | div-inv |
| 324× | sqrt-div |
| 322× | unpow-prod-down |
| 297× | cbrt-div |
| 285× | pow-to-exp |
| 283× | log-pow |
| 277× | distribute-lft-out-- |
| 242× | sqrt-pow1 |
| 214× | cube-prod |
| 178× | associate-/l/ |
| 165× | flip3-- flip-- |
| 158× | log-prod |
| 152× | *-commutative |
| 140× | pow1/3 |
| 136× | sqr-pow |
| 132× | pow1/2 |
| 95× | distribute-rgt-neg-in |
| 83× | pow-prod-up distribute-rgt-in distribute-lft-in |
| 80× | frac-2neg clear-num diff-log |
| 77× | sub-neg |
| 76× | pow-unpow |
| 74× | sum-log |
| 68× | rem-sqrt-square |
| 56× | pow-sqr |
| 55× | distribute-lft-neg-in |
| 50× | exp-sum distribute-neg-frac |
| 49× | 1-exp rec-exp |
| 44× | cube-div neg-mul-1 |
| 43× | +-commutative |
| 36× | exp-diff |
| 35× | exp-prod |
| 34× | pow-plus |
| 32× | unpow3 cube-mult |
| 30× | pow-pow |
| 29× | exp-neg |
| 27× | associate--l+ |
| 26× | neg-sub0 |
| 25× | pow2 |
| 20× | rem-cube-cbrt |
| 18× | associate--r+ |
| 16× | un-div-inv pow-flip div-sub |
| 15× | inv-pow rem-log-exp log-div |
| 13× | associate-+l+ unpow2 |
| 12× | associate-+r+ |
| 9× | rem-exp-log associate--l- |
| 8× | distribute-rgt-out associate-+l- |
| 7× | distribute-neg-in |
| 6× | sqrt-unprod sin-sum |
| 5× | sqrt-undiv rem-cbrt-cube |
| 4× | rem-square-sqrt neg-log |
| 3× | distribute-rgt-neg-out |
| 2× | cos-sum difference-cubes pow3 associate-+r- |
| 1× | sqrt-pow2 unpow-prod-up pow-sub log-rec associate--r- |
467 calls:
| 1.9m | (- (pow 1.0 3) (/ (pow (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (- (* 0.254829592 0.254829592) (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (* (/ (sqrt 1.0) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (sqrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (* (/ (sqrt 1.0) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (sqrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))) 3) (pow (* (- 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (* (/ (sqrt 1.0) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (sqrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (exp (* (fabs x) (fabs x)))) 3))) |
| 7.8s | (- (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 (* (* (/ (sqrt 1.0) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (/ (sqrt 1.0) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)) |
| 2.5s | (/ (* (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i))) (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) |
| 2.4s | (/ (/ (* (* i (+ (+ alpha beta) i)) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i))) (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)))) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) |
| 2.3s | (* (/ (/ (* 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))) (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)))) |
| 99× | intervals |
| 46.4s | 12042× | body | 10240 | exit |
| 46.4s | 526217× | body | 80 | valid |
| 12.6s | 27366× | body | 1280 | valid |
| 6.0s | 21291× | body | 640 | valid |
| 4.5s | 70448× | body | 80 | nan |
| 2.1s | 1663× | body | 1280 | nan |
| 2.0s | 10598× | body | 320 | valid |
| 1.4s | 9546× | body | 160 | valid |
| 1.2s | 1339× | body | 640 | nan |
| 1.1s | 49536× | pre | 80 | true |
| 608.0ms | 1438× | body | 2560 | valid |
| 454.0ms | 663× | body | 320 | nan |
| 180.0ms | 593× | body | 5120 | valid |
| 155.0ms | 312× | body | 160 | nan |
| 254× | egg-herbie |
Total 102.4b remaining (35.7%)
Threshold costs 3.6b (1.3%)
| 17.5b | 44.8% | math.abs on complex |
| 12.7b | 39.4% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 10.5b | 56.8% | math.log/2 on complex, real part |
| 10.4b | 57.9% | math.log10 on complex, real part |
| 10.3b | 58.3% | math.log/1 on complex, real part |