| 156× | rewrite-expression-head |
465 calls:
| 4.7s | (* (+ (* (+ (* (* (pow (* x x) 4) (+ (pow 0.0005064034 3) (pow (* (* x x) 0.0001789971) 3))) (- 1.0 (* 0.1049934947 (* x x)))) (* (+ (* 0.0005064034 0.0005064034) (- (* (* (* x x) 0.0001789971) (* (* x x) 0.0001789971)) (* 0.0005064034 (* (* x x) 0.0001789971)))) (- (* 1.0 1.0) (* (* 0.1049934947 (* x x)) (* 0.1049934947 (* x x)))))) (+ (* 0.0424060604 0.0424060604) (- (* (* (* x x) 0.0072644182) (* (* x x) 0.0072644182)) (* 0.0424060604 (* (* x x) 0.0072644182))))) (* (* (+ (* 0.0005064034 0.0005064034) (- (* (* (* x x) 0.0001789971) (* (* x x) 0.0001789971)) (* 0.0005064034 (* (* x x) 0.0001789971)))) (- 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ (pow 0.0424060604 3) (pow (* (* x x) 0.0072644182) 3))))) (/ (/ 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)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) (* (* (+ (* 0.0005064034 0.0005064034) (- (* (* (* x x) 0.0001789971) (* (* x x) 0.0001789971)) (* 0.0005064034 (* (* x x) 0.0001789971)))) (- 1.0 (* 0.1049934947 (* x x)))) (+ (* 0.0424060604 0.0424060604) (- (* (* (* x x) 0.0072644182) (* (* x x) 0.0072644182)) (* 0.0424060604 (* (* x x) 0.0072644182))))))) |
| 859.0ms | (/ (+ (+ (* (* 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))))) |
| 693.0ms | (/ (/ 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)) (* (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)))))) |
| 476.0ms | (* (/ (/ (* 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)))) |
| 452.0ms | (/ 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)) (* (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)))))) |
| 48746× | times-frac |
| 34923× | frac-times |
| 27261× | add-sqr-sqrt |
| 25683× | associate-*r/ |
| 25582× | *-un-lft-identity |
| 22278× | frac-add |
| 20602× | flip-+ flip3-+ |
| 20248× | associate-*l/ |
| 19776× | add-cube-cbrt |
| 11938× | sqrt-prod |
| 11360× | flip3-- flip-- |
| 3520× | add-exp-log |
| 3393× | difference-of-squares |
| 3287× | cbrt-prod |
| 2510× | associate-/r/ |
| 2110× | add-cbrt-cube |
| 1782× | distribute-lft-out-- |
| 1645× | pow1 |
| 1529× | associate-*r* |
| 1409× | prod-exp |
| 1295× | div-inv |
| 1173× | distribute-lft-out |
| 945× | div-exp |
| 827× | associate-*l* |
| 744× | associate-/r* |
| 715× | cbrt-unprod |
| 706× | add-log-exp |
| 703× | associate-/l* |
| 666× | sqrt-div |
| 446× | cbrt-undiv |
| 386× | pow-prod-down |
| 303× | log-pow |
| 291× | unswap-sqr |
| 255× | cbrt-div |
| 251× | swap-sqr |
| 242× | unpow-prod-down |
| 219× | log-prod |
| 207× | pow-exp |
| 157× | *-commutative |
| 153× | associate-/l/ |
| 126× | sqrt-pow1 |
| 115× | sqr-pow |
| 111× | pow1/3 |
| 104× | pow1/2 |
| 96× | pow-unpow pow-to-exp |
| 87× | distribute-rgt-in pow-prod-up distribute-lft-in |
| 83× | cube-prod |
| 82× | frac-2neg clear-num diff-log |
| 72× | exp-sum |
| 71× | sub-neg |
| 69× | pow-plus |
| 68× | 1-exp |
| 59× | rec-exp |
| 54× | rem-sqrt-square pow-sqr sum-log |
| 41× | exp-prod |
| 40× | pow2 |
| 39× | exp-diff |
| 36× | associate--l+ |
| 34× | +-commutative |
| 30× | pow-flip |
| 29× | distribute-rgt-neg-in |
| 28× | inv-pow exp-neg |
| 27× | distribute-lft-neg-in |
| 26× | log-div |
| 25× | pow-pow |
| 24× | neg-sub0 |
| 22× | distribute-neg-frac |
| 21× | div-sub |
| 19× | unpow2 |
| 18× | cube-div unpow3 cube-mult |
| 13× | associate--l- |
| 11× | un-div-inv rem-log-exp |
| 10× | frac-sub |
| 9× | associate-+l+ neg-mul-1 |
| 7× | rem-exp-log |
| 6× | sin-sum associate--r+ |
| 5× | rem-cube-cbrt pow3 |
| 4× | difference-cubes distribute-neg-in |
| 3× | sqrt-pow2 distribute-rgt-out-- associate-+r+ distribute-rgt-neg-out associate-+l- |
| 2× | rem-cbrt-cube |
| 1× | cos-sum distribute-lft-neg-out sqrt-unprod rem-square-sqrt distribute-frac-neg log-rec associate--r- |
| 99× | intervals |
| 54.6s | 500333× | body | 80 | valid |
| 47.3s | 7909× | body | 10240 | exit |
| 15.1s | 27438× | body | 1280 | valid |
| 7.3s | 20626× | body | 640 | valid |
| 5.6s | 69552× | body | 80 | nan |
| 2.7s | 1512× | body | 1280 | nan |
| 2.6s | 10745× | body | 320 | valid |
| 2.0s | 9367× | body | 160 | valid |
| 1.7s | 1272× | body | 640 | nan |
| 1.1s | 49536× | pre | 80 | true |
| 687.0ms | 1516× | body | 2560 | valid |
| 635.0ms | 643× | body | 320 | nan |
| 380.0ms | 4307× | body | 80 | overflowed |
| 289.0ms | 582× | body | 5120 | valid |
| 216.0ms | 316× | body | 160 | nan |
462 calls:
| 7.3s | (exp (log (/ (- (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)))) (* (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))) (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))) (exp (- (* (fabs x) (fabs x))))) 3)) (+ (* (* (* (/ 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)))) (* (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))) (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))) (exp (- (* (fabs x) (fabs x))))) (+ (* (* (/ 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)))) (* (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))) (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))) (exp (- (* (fabs x) (fabs x))))) 1.0)) (* 1.0 1.0))))) |
| 3.3s | (- (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)))) (* (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))) (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))) (exp (- (* (fabs x) (fabs x))))) 3)) |
| 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)))) |
| 1.6s | (* (* (* (/ 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)))) (* (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))) (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))) (exp (- (* (fabs x) (fabs x))))) (+ (* (* (/ 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)))) (* (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))) (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) (cbrt (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))) (exp (- (* (fabs x) (fabs x))))) 1.0)) |
| 864.0ms | (- 1.0 (* (* (/ 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)))))) |
| 254× | egg-herbie |
Total 99.7b remaining (34.9%)
Threshold costs 3.5b (1.2%)
| 10.9b | 54.4% | math.abs on complex |
| 10.9b | 56% | math.log10 on complex, real part |
| 10.8b | 56.4% | math.log/1 on complex, real part |
| 10.7b | 64.1% | math.sqrt on complex, real part |
| 10.6b | 56% | math.log/2 on complex, real part |