| 163× | rewrite-expression-head |
493 calls:
| 2.1s | (* (sqrt (+ (+ (* (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 (/ (+ (+ (* (* 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)))) (sqrt (+ (+ (* (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)))))))) |
| 1.5s | (/ (+ (+ (* (* 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))))) |
| 1.5s | (/ (+ (+ (* (* 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)))) (sqrt (cbrt (+ (+ (* (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))))))) |
| 1.5s | (/ (+ (+ (* (* 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)))) (sqrt (+ (+ (* (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)))))) |
| 1.4s | (* (* (fabs (cbrt (+ (+ (* (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)))))) (sqrt (+ (+ (* (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 (/ (+ (+ (* (* 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)))) (sqrt (cbrt (+ (+ (* (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))))))))) |
| 8570× | times-frac |
| 7055× | *-un-lft-identity |
| 6875× | add-sqr-sqrt |
| 4961× | add-cube-cbrt |
| 2537× | add-exp-log |
| 2515× | associate-*r* |
| 2103× | add-cbrt-cube |
| 2034× | sqrt-prod |
| 1641× | pow1 |
| 1058× | associate-*l* |
| 967× | flip-+ flip3-+ |
| 829× | prod-exp |
| 781× | add-log-exp |
| 773× | distribute-lft-out |
| 756× | associate-*r/ |
| 727× | associate-/r/ |
| 653× | cbrt-prod |
| 644× | cbrt-unprod |
| 608× | div-exp |
| 560× | difference-of-squares |
| 543× | sqrt-div |
| 532× | frac-add |
| 483× | associate-/l* |
| 472× | cbrt-undiv |
| 386× | pow-prod-down |
| 381× | associate-/r* |
| 368× | div-inv |
| 334× | distribute-lft-out-- |
| 300× | unswap-sqr |
| 299× | cbrt-div |
| 298× | unpow-prod-down |
| 252× | swap-sqr |
| 227× | log-pow |
| 226× | frac-times |
| 216× | log-prod |
| 212× | associate-*l/ |
| 160× | flip3-- flip-- |
| 148× | *-commutative |
| 138× | sqrt-pow1 |
| 122× | pow1/2 |
| 121× | associate-/l/ |
| 119× | exp-prod |
| 115× | distribute-rgt-in distribute-lft-in |
| 114× | pow-prod-up pow1/3 |
| 91× | sqr-pow |
| 86× | pow-unpow |
| 85× | distribute-rgt-neg-in |
| 82× | sum-log |
| 80× | diff-log |
| 79× | clear-num frac-2neg |
| 77× | distribute-lft-neg-in |
| 75× | cube-prod |
| 73× | pow-exp |
| 70× | pow-sqr sub-neg |
| 69× | rem-sqrt-square |
| 61× | pow-plus |
| 59× | pow-to-exp 1-exp |
| 58× | distribute-neg-frac |
| 50× | +-commutative |
| 41× | rec-exp |
| 39× | pow2 |
| 36× | pow-pow associate--l+ |
| 28× | associate-+r+ |
| 26× | associate-+l+ neg-mul-1 |
| 19× | unpow3 cube-mult |
| 17× | div-sub |
| 16× | associate--l- |
| 15× | rem-log-exp |
| 14× | cube-div inv-pow pow-flip |
| 13× | pow3 |
| 10× | distribute-rgt-out |
| 9× | exp-diff exp-neg |
| 8× | neg-sub0 log-div |
| 7× | unpow2 |
| 6× | un-div-inv rem-exp-log sin-sum associate-+l- associate--r+ |
| 5× | rem-cube-cbrt distribute-neg-in rem-cbrt-cube |
| 4× | log-rec neg-log |
| 3× | cos-sum unpow1/2 exp-sum |
| 2× | sqrt-pow2 sqrt-unprod sum-cubes frac-sub distribute-rgt-neg-out exp-to-pow |
| 1× | distribute-neg-out associate-+r- distribute-lft-neg-out distribute-rgt-out-- unpow-prod-up pow-sub unsub-neg rem-square-sqrt |
| 99× | intervals |
| 51.0s | 11926× | body | 10240 | exit |
| 43.0s | 468990× | body | 80 | valid |
| 17.5s | 27017× | body | 1280 | valid |
| 10.3s | 21094× | body | 640 | valid |
| 5.2s | 68547× | body | 80 | nan |
| 3.6s | 1641× | body | 1280 | nan |
| 3.3s | 10734× | body | 320 | valid |
| 2.4s | 9441× | body | 160 | valid |
| 1.7s | 1348× | body | 640 | nan |
| 1.2s | 49536× | pre | 80 | true |
| 737.0ms | 669× | body | 320 | nan |
| 621.0ms | 1522× | body | 2560 | valid |
| 563.0ms | 600× | body | 5120 | valid |
| 152.0ms | 335× | body | 160 | nan |
491 calls:
| 4.0s | (* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1)) |
| 2.4s | (/ (* (/ (/ (* 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))) |
| 2.4s | (* (/ (/ (* 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)))) |
| 2.4s | (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) (/ (/ (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (+ (+ alpha beta) (* 2.0 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0)))) |
| 1.3s | (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (* (- 1.0 (* 0.3275911 (fabs x))) 1.061405429)))))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))) (exp (- (* (fabs x) (fabs x)))))) |
Total 99.7b remaining (37.8%)
Threshold costs 5.1b (1.9%)
| 17.8b | 52.3% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 11.4b | 54.1% | math.log/2 on complex, real part |
| 10.6b | 57.2% | math.log10 on complex, real part |
| 10.5b | 56.3% | math.abs on complex |
| 10.5b | 57.6% | math.log/1 on complex, real part |