| 154× | rewrite-expression-head |
474 calls:
| 1.1m | (* (/ (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))) (exp (+ (+ (- z 1.0) 7.0) 0.5))) (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (+ (+ (/ 676.5203681218851 z) 0.9999999999998099) (/ -1259.1392167224028 (+ (- z 1.0) 2.0)))) (+ (/ 771.3234287776531 (+ (- z 1.0) 3.0)) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (+ (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))))) |
| 48.1s | (* (/ (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (exp (+ (- z 1.0) 7.0))) (* (/ (sqrt (* PI 2.0)) (exp 0.5)) (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (+ (+ (/ 676.5203681218851 z) 0.9999999999998099) (/ -1259.1392167224028 (+ (- z 1.0) 2.0)))) (+ (/ 771.3234287776531 (+ (- z 1.0) 3.0)) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (+ (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)))))))) |
| 44.4s | (* (/ (sqrt (* PI 2.0)) (exp 0.5)) (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (+ (+ (/ 676.5203681218851 z) 0.9999999999998099) (/ -1259.1392167224028 (+ (- z 1.0) 2.0)))) (+ (/ 771.3234287776531 (+ (- z 1.0) 3.0)) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (+ (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))))) |
| 42.2s | (* (/ (sqrt (* PI 2.0)) (exp 0.5)) (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (+ (+ (/ 676.5203681218851 z) 0.9999999999998099) (/ -1259.1392167224028 (+ (- z 1.0) 2.0)))) (+ (/ 771.3234287776531 (+ (- z 1.0) 3.0)) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (+ (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))))) |
| 42.1s | (* (/ (sqrt (* PI 2.0)) (exp 0.5)) (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (+ (+ (/ 676.5203681218851 z) 0.9999999999998099) (/ -1259.1392167224028 (+ (- z 1.0) 2.0)))) (+ (/ 771.3234287776531 (+ (- z 1.0) 3.0)) (+ (+ (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (+ (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))))) |
| 21344× | times-frac |
| 14998× | *-un-lft-identity |
| 12032× | add-sqr-sqrt |
| 9886× | add-cube-cbrt |
| 8942× | frac-add |
| 4904× | sqrt-prod |
| 3263× | flip-+ flip3-+ |
| 2966× | frac-times |
| 2511× | distribute-lft-out |
| 2477× | add-exp-log |
| 2439× | associate-*r/ |
| 2038× | associate-*l* |
| 1856× | add-cbrt-cube |
| 1456× | pow1 |
| 1384× | associate-*r* |
| 929× | associate-/r/ |
| 897× | prod-exp |
| 883× | unpow-prod-down |
| 857× | cbrt-prod |
| 753× | associate-*l/ |
| 735× | div-inv |
| 715× | add-log-exp div-exp |
| 656× | associate-/l* |
| 635× | associate-/r* |
| 528× | cbrt-unprod |
| 509× | cbrt-div |
| 425× | cbrt-undiv |
| 421× | unswap-sqr |
| 398× | difference-of-squares |
| 359× | distribute-lft-out-- |
| 343× | log-pow |
| 331× | swap-sqr |
| 295× | pow-prod-down |
| 290× | cube-prod |
| 223× | sqrt-div |
| 193× | sqr-pow |
| 189× | associate-/l/ sqrt-pow1 |
| 160× | exp-sum |
| 159× | flip3-- flip-- |
| 147× | pow1/2 |
| 145× | unpow-prod-up |
| 144× | sub-neg |
| 138× | *-commutative |
| 137× | pow-exp |
| 127× | pow1/3 |
| 105× | pow-to-exp |
| 91× | frac-2neg sum-log clear-num |
| 88× | distribute-rgt-in distribute-lft-in |
| 57× | pow-unpow rem-sqrt-square |
| 56× | cube-div |
| 55× | +-commutative |
| 53× | log-prod |
| 44× | 1-exp |
| 43× | pow-prod-up |
| 42× | diff-log |
| 36× | rec-exp |
| 35× | pow-sqr pow-pow |
| 24× | associate-+r+ pow-plus |
| 23× | unpow3 cube-mult div-sub |
| 20× | pow2 |
| 18× | associate-+l- associate--r+ |
| 16× | exp-diff rem-cube-cbrt |
| 11× | exp-prod |
| 10× | log-div |
| 8× | un-div-inv pow-sub |
| 6× | associate--r- sum-cubes rem-cbrt-cube |
| 5× | distribute-rgt-neg-in inv-pow pow-flip associate--l+ unpow2 |
| 4× | associate-+l+ sqrt-undiv associate-+r- sin-sum |
| 3× | cos-sum |
| 2× | sqrt-unprod pow3 rem-square-sqrt neg-sub0 |
| 1× | difference-cubes sqrt-pow2 rem-exp-log unpow1/3 associate--l- unsub-neg distribute-rgt-out rem-log-exp |
| 99× | intervals |
| 1.4m | 15908× | body | 10240 | exit |
| 52.5s | 435680× | body | 80 | valid |
| 32.1s | 30526× | body | 1280 | valid |
| 16.2s | 23536× | body | 640 | valid |
| 7.1s | 69906× | body | 80 | nan |
| 6.3s | 3002× | body | 1280 | nan |
| 5.8s | 2648× | body | 640 | nan |
| 5.0s | 12105× | body | 320 | valid |
| 3.3s | 9946× | body | 160 | valid |
| 1.4s | 49536× | pre | 80 | true |
| 1.1s | 1329× | body | 320 | nan |
| 794.0ms | 1451× | body | 2560 | valid |
| 766.0ms | 595× | body | 160 | nan |
| 477.0ms | 589× | body | 5120 | valid |
474 calls:
| 4.6s | (- (pow 1.0 3) (pow (/ 1.0 (/ (+ (* 0.3275911 (fabs x)) 1.0) (/ (+ 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 (pow (fabs x) 2))))) 3)) |
| 4.6s | (- (pow 1.0 3) (/ (* (* 1.0 1.0) 1.0) (/ (* (* (+ (* 0.3275911 (fabs x)) 1.0) (+ (* 0.3275911 (fabs x)) 1.0)) (+ (* 0.3275911 (fabs x)) 1.0)) (/ (* (* (+ 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)))))))) (+ 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))))))))) (+ 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 (pow (fabs x) 2)) (exp (pow (fabs x) 2))) (exp (pow (fabs x) 2))))))) |
| 4.5s | (- (pow 1.0 3) (/ (* (* 1.0 1.0) 1.0) (/ (* (* (+ (* 0.3275911 (fabs x)) 1.0) (+ (* 0.3275911 (fabs x)) 1.0)) (+ (* 0.3275911 (fabs x)) 1.0)) (/ (* (cbrt (pow (* (+ 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)))))))) (+ 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))))))))) 3)) (+ 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 (pow (fabs x) 2)) (exp (pow (fabs x) 2))) (exp (pow (fabs x) 2))))))) |
| 3.4s | (* (/ (/ i (/ (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) 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)))) |
| 2.9s | (* (/ (/ (* 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)))) |
Total 123.1b remaining (43.4%)
Threshold costs 5.8b (2%)
| 17.5b | 28.2% | math.log10 on complex, real part |
| 17.3b | 28.5% | math.log/1 on complex, real part |
| 13.8b | 37.9% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 12.7b | 39% | math.sqrt on complex, real part |
| 10.8b | 55.9% | math.log/2 on complex, real part |