| 162× | rewrite-expression-head |
512 calls:
| 3.5m | (* (* (/ 1 (sqrt PI)) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (* (sqrt (fabs x)) (fabs x))) (/ (cbrt 1) (sqrt (fabs x)))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) |
| 42.8s | (* (/ (sqrt (+ (* (* (* x x) (* x x)) (+ (* (* (* x x) (* (* x x) (* x x))) 0.0001789971) 0.0424060604)) (+ (* (* x x) (+ (* 0.0005064034 (* (* x x) (* (* x x) (* x x)))) 0.1049934947)) (+ (* 0.0072644182 (* (* x x) (* (* x x) (* x x)))) 1)))) 1) (/ (sqrt (+ (* (* (* x x) (* x x)) (+ (* (* (* x x) (* (* x x) (* x x))) 0.0001789971) 0.0424060604)) (+ (* (* x x) (+ (* 0.0005064034 (* (* x x) (* (* x x) (* x x)))) 0.1049934947)) (+ (* 0.0072644182 (* (* x x) (* (* x x) (* x x)))) 1)))) (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ 0.0140005442 (* (* x x) (+ 0.0008327945 (* (* (* x x) 2) 0.0001789971))))) (+ (* (* x x) (+ (* 0.0694555761 (* (* x x) (* x x))) 0.7715471019)) (+ 1 (* 0.2909738639 (* (* x x) (* x x)))))))) |
| 41.7s | (* (* d1 (* (* (* (* (* d1 (* d1 d1)) d1) d1) (* d1 d1)) d1)) d1) |
| 35.8s | (- 1 (/ (log (exp (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592))) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x)))))) |
| 34.6s | (- 1 (/ (+ (log (exp (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x)))))) |
| 9095× | *-un-lft-identity |
| 8547× | times-frac |
| 6069× | add-sqr-sqrt |
| 4676× | add-cube-cbrt |
| 4606× | pow1 |
| 4543× | add-exp-log |
| 2957× | sqrt-prod |
| 2943× | frac-times associate-*l/ |
| 2829× | add-cbrt-cube |
| 2570× | cbrt-div |
| 2453× | prod-exp |
| 2166× | flip-+ flip3-+ |
| 2154× | pow-prod-up |
| 1918× | distribute-lft-out |
| 1600× | frac-add |
| 1510× | associate-*r/ |
| 1325× | associate-*r* |
| 1268× | associate-*l* |
| 1208× | cbrt-unprod |
| 1037× | flip3-- flip-- |
| 1020× | pow-plus |
| 977× | add-log-exp |
| 808× | div-exp |
| 742× | pow-prod-down |
| 653× | associate-/r/ |
| 538× | associate-/l* |
| 515× | cbrt-prod |
| 508× | insert-posit16 |
| 491× | cbrt-undiv |
| 440× | swap-sqr |
| 382× | distribute-lft-out-- |
| 371× | div-inv |
| 357× | unswap-sqr |
| 355× | associate-/r* |
| 330× | log-pow |
| 284× | pow-sqr |
| 273× | sqrt-div |
| 271× | sum-log |
| 245× | pow2 |
| 226× | pow-exp |
| 214× | difference-of-squares |
| 189× | associate-/l/ |
| 175× | pow1/3 |
| 167× | sqrt-pow1 |
| 166× | 1-exp |
| 156× | rec-exp |
| 149× | *-commutative |
| 131× | pow-to-exp |
| 126× | pow1/2 |
| 100× | unpow-prod-down |
| 94× | cube-unmult |
| 86× | frac-sub |
| 80× | frac-2neg clear-num |
| 71× | sub-neg |
| 70× | rem-sqrt-square |
| 66× | +-commutative exp-prod |
| 65× | pow-flip |
| 64× | distribute-rgt-in distribute-lft-in |
| 60× | inv-pow |
| 51× | log-prod |
| 43× | diff-log |
| 40× | sqr-pow |
| 37× | un-div-inv |
| 29× | cube-prod |
| 28× | log-div |
| 27× | pow-unpow pow3 |
| 18× | associate-+l+ associate-+r+ |
| 16× | exp-diff div-sub |
| 15× | exp-sum |
| 13× | pow-pow |
| 12× | sum-cubes |
| 11× | cube-div |
| 9× | associate-+r- |
| 8× | sin-sum associate--l+ rem-log-exp |
| 7× | pow-sub |
| 6× | associate--r+ rem-exp-log distribute-rgt-out |
| 5× | unpow-prod-up cos-sum distribute-rgt1-in |
| 4× | rem-cube-cbrt distribute-rgt-out-- associate-+l- |
| 3× | remove-posit16 unpow3 cube-mult associate--r- |
| 2× | rem-cbrt-cube |
| 1× | associate--l- sqrt-unprod difference-cubes exp-to-pow rem-square-sqrt count-2 |
| 99× | intervals |
| 1.4m | 15594× | body | 10240 | exit |
| 50.2s | 436798× | body | 80 | valid |
| 36.7s | 29992× | body | 1280 | valid |
| 17.4s | 22854× | body | 640 | valid |
| 8.7s | 3001× | body | 1280 | nan |
| 7.5s | 71455× | body | 80 | nan |
| 6.0s | 11914× | body | 320 | valid |
| 4.2s | 2456× | body | 640 | nan |
| 3.0s | 10239× | body | 160 | valid |
| 2.4s | 49536× | pre | 80 | true |
| 1.8s | 1237× | body | 320 | nan |
| 1.3s | 634× | body | 5120 | valid |
| 848.0ms | 1509× | body | 2560 | valid |
| 589.0ms | 701× | body | 160 | nan |
508 calls:
| 3.6s | (/ (* (/ (/ (* 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))) |
| 3.2s | (* (* (/ (/ (* 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)))) (/ 1 (- (+ (+ alpha beta) (* 2 i)) (sqrt 1.0)))) |
| 3.0s | (* (/ (/ (* 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)))) |
| 1.7s | (* (* (/ (* (pow (+ 0.5 (- z -6)) z) (sqrt (* PI 2))) (* (exp (+ 0.5 z)) (pow (+ 0.5 (- z -6)) (- 1 0.5)))) (exp -6)) (+ (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (/ -0.13857109526572012 (+ z 5))) (+ (+ (+ (/ 12.507343278686905 (+ z 4)) 0.9999999999998099) (+ (+ (/ -1259.1392167224028 (+ 1 z)) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2)))) (/ -176.6150291621406 (+ 3 z))))) |
| 1.5s | (* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))) |
Total 87.2b remaining (31.5%)
Threshold costs 4.5b (1.6%)