| 96× | intervals |
| 6.6m | 103983× | body | 10240 | exit |
| 1.2m | 412464× | body | 80 | valid |
| 33.0s | 26434× | body | 1280 | valid |
| 18.0s | 20165× | body | 640 | valid |
| 11.2s | 70527× | body | 80 | nan |
| 8.3s | 3021× | body | 1280 | nan |
| 6.8s | 10889× | body | 320 | valid |
| 6.2s | 2550× | body | 640 | nan |
| 4.7s | 9273× | body | 160 | valid |
| 2.6s | 49536× | pre | 80 | true |
| 2.5s | 1268× | body | 320 | nan |
| 1.1s | 1476× | body | 2560 | valid |
| 596.0ms | 626× | body | 160 | nan |
| 557.0ms | 590× | body | 5120 | valid |
| 155× | rewrite-expression-head |
495 calls:
| 1.0m | (* (* (/ 1 (sqrt (* (cbrt (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* 0.0001789971 (* 2 (* (* x x) (* x x)))) (+ 0.0140005442 (* 0.0008327945 (* x x))))) (+ (* (* x x) (+ 0.7715471019 (* 0.0694555761 (* (* x x) (* x x))))) (+ 1 (* 0.2909738639 (* (* x x) (* x x))))))) (cbrt (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* 0.0001789971 (* 2 (* (* x x) (* x x)))) (+ 0.0140005442 (* 0.0008327945 (* x x))))) (+ (* (* x x) (+ 0.7715471019 (* 0.0694555761 (* (* x x) (* x x))))) (+ 1 (* 0.2909738639 (* (* x x) (* x x)))))))))) (* (/ 1 (sqrt (cbrt (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* 0.0001789971 (* 2 (* (* x x) (* x x)))) (+ 0.0140005442 (* 0.0008327945 (* x x))))) (+ (* (* x x) (+ 0.7715471019 (* 0.0694555761 (* (* x x) (* x x))))) (+ 1 (* 0.2909738639 (* (* x x) (* x x))))))))) (/ (+ (+ (* (* (* x x) (* x x)) (+ 0.0424060604 (* (* (* x x) (* x x)) (+ 0.0005064034 (* (* x x) 0.0001789971))))) 1) (* (* x x) (+ (* (* (* x x) (* x x)) 0.0072644182) 0.1049934947))) (sqrt (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* 0.0001789971 (* 2 (* (* x x) (* x x)))) (+ 0.0140005442 (* 0.0008327945 (* x x))))) (+ (* (* x x) (+ 0.7715471019 (* 0.0694555761 (* (* x x) (* x x))))) (+ 1 (* 0.2909738639 (* (* x x) (* x x)))))))))) x) |
| 25.2s | (* (exp -7) (* (* (+ (+ (+ (/ -0.13857109526572012 (+ z 5)) (/ 12.507343278686905 (+ z 4))) (+ (/ 1.5056327351493116e-07 (+ z 7)) (/ 9.984369578019572e-06 (- z -6)))) (+ (/ -176.6150291621406 (- z -3)) (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ z 2))) (/ -1259.1392167224028 (+ z 1))))) (/ (sqrt (* PI 2)) (exp 0.5))) (/ (pow (+ 7 (+ (- z 1) 0.5)) (+ (- z 1) 0.5)) (exp (- z 1))))) |
| 22.1s | (+ (- (- (/ (/ 0.284496736 (exp (* (fabs x) (fabs x)))) (* (+ (* (fabs x) 0.3275911) 1) (+ (* (fabs x) 0.3275911) 1))) (+ (/ (/ (/ (/ 1.421413741 (+ (* (fabs x) 0.3275911) 1)) (+ (* (fabs x) 0.3275911) 1)) (+ (* (fabs x) 0.3275911) 1)) (exp (* (fabs x) (fabs x)))) (/ 0.254829592 (+ (* (* (fabs x) 0.3275911) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))))))) (/ 1.061405429 (* (pow (+ (* (fabs x) 0.3275911) 1) 5) (exp (* (fabs x) (fabs x)))))) (+ (/ (/ (/ 1.453152027 (exp (* (fabs x) (fabs x)))) (* (+ (* (fabs x) 0.3275911) 1) (+ (* (fabs x) 0.3275911) 1))) (* (+ (* (fabs x) 0.3275911) 1) (+ (* (fabs x) 0.3275911) 1))) 1)) |
| 21.6s | (+ (- (- (/ (/ 0.284496736 (exp (* (fabs x) (fabs x)))) (* (+ (* (fabs x) 0.3275911) 1) (+ (* (fabs x) 0.3275911) 1))) (+ (/ (/ (/ (/ 1.421413741 (+ (* (fabs x) 0.3275911) 1)) (+ (* (fabs x) 0.3275911) 1)) (+ (* (fabs x) 0.3275911) 1)) (exp (* (fabs x) (fabs x)))) (/ 0.254829592 (+ (* (* (fabs x) 0.3275911) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))))))) (/ 1.061405429 (* (pow (+ (* (fabs x) 0.3275911) 1) 5) (exp (* (fabs x) (fabs x)))))) (+ (/ (/ (/ 1.453152027 (exp (* (fabs x) (fabs x)))) (* (+ (* (fabs x) 0.3275911) 1) (+ (* (fabs x) 0.3275911) 1))) (* (+ (* (fabs x) 0.3275911) 1) (+ (* (fabs x) 0.3275911) 1))) 1)) |
| 21.4s | (* (/ 1 (sqrt (* (cbrt (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* 0.0001789971 (* 2 (* (* x x) (* x x)))) (+ 0.0140005442 (* 0.0008327945 (* x x))))) (+ (* (* x x) (+ 0.7715471019 (* 0.0694555761 (* (* x x) (* x x))))) (+ 1 (* 0.2909738639 (* (* x x) (* x x))))))) (cbrt (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* 0.0001789971 (* 2 (* (* x x) (* x x)))) (+ 0.0140005442 (* 0.0008327945 (* x x))))) (+ (* (* x x) (+ 0.7715471019 (* 0.0694555761 (* (* x x) (* x x))))) (+ 1 (* 0.2909738639 (* (* x x) (* x x)))))))))) (* (/ 1 (sqrt (cbrt (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* 0.0001789971 (* 2 (* (* x x) (* x x)))) (+ 0.0140005442 (* 0.0008327945 (* x x))))) (+ (* (* x x) (+ 0.7715471019 (* 0.0694555761 (* (* x x) (* x x))))) (+ 1 (* 0.2909738639 (* (* x x) (* x x))))))))) (/ (+ (+ (* (* (* x x) (* x x)) (+ 0.0424060604 (* (* (* x x) (* x x)) (+ 0.0005064034 (* (* x x) 0.0001789971))))) 1) (* (* x x) (+ (* (* (* x x) (* x x)) 0.0072644182) 0.1049934947))) (sqrt (+ (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* 0.0001789971 (* 2 (* (* x x) (* x x)))) (+ 0.0140005442 (* 0.0008327945 (* x x))))) (+ (* (* x x) (+ 0.7715471019 (* 0.0694555761 (* (* x x) (* x x))))) (+ 1 (* 0.2909738639 (* (* x x) (* x x)))))))))) |
| 13799× | times-frac |
| 11534× | *-un-lft-identity |
| 9832× | add-sqr-sqrt |
| 6518× | add-cube-cbrt |
| 6324× | frac-add |
| 4185× | pow1 |
| 4052× | add-exp-log |
| 2895× | flip-+ flip3-+ |
| 2793× | add-cbrt-cube |
| 2016× | associate-*r/ |
| 1961× | distribute-lft-out prod-exp |
| 1761× | sqrt-prod |
| 1700× | frac-times |
| 1633× | associate-*l* |
| 1537× | pow-prod-up |
| 1386× | associate-*r* |
| 1133× | associate-*l/ |
| 1123× | cbrt-unprod |
| 1109× | difference-of-squares |
| 1021× | associate-/r/ |
| 886× | associate-/l* |
| 844× | div-exp |
| 776× | pow-prod-down |
| 760× | distribute-lft-out-- |
| 753× | add-log-exp |
| 749× | pow-plus |
| 710× | sqrt-div |
| 639× | associate-/r* |
| 597× | cbrt-div |
| 522× | cbrt-undiv |
| 495× | insert-posit16 |
| 452× | cbrt-prod |
| 450× | div-inv |
| 370× | pow-sqr |
| 320× | unswap-sqr |
| 317× | unpow-prod-down |
| 307× | sqrt-pow1 |
| 260× | pow2 |
| 245× | flip3-- flip-- |
| 225× | log-pow |
| 199× | pow1/2 |
| 193× | pow-exp |
| 190× | swap-sqr |
| 160× | *-commutative |
| 150× | log-prod |
| 133× | associate-/l/ |
| 120× | 1-exp |
| 114× | exp-sum |
| 112× | rec-exp |
| 111× | pow-to-exp |
| 108× | pow1/3 |
| 99× | sqr-pow |
| 96× | frac-2neg clear-num |
| 89× | sub-neg |
| 86× | frac-sub |
| 81× | sum-log rem-sqrt-square |
| 78× | distribute-rgt-in distribute-lft-in |
| 73× | diff-log |
| 52× | cube-unmult |
| 44× | log-div |
| 43× | associate--l+ +-commutative |
| 38× | pow3 |
| 33× | unpow-prod-up |
| 30× | div-sub |
| 27× | exp-diff |
| 26× | exp-prod |
| 18× | pow-sub |
| 15× | pow-unpow rem-log-exp |
| 13× | associate-+l+ |
| 11× | associate-+r+ associate-+l- |
| 10× | associate-+r- sub0-neg |
| 9× | distribute-rgt-neg-in distribute-lft-neg-in |
| 8× | pow-flip sqrt-unprod associate--r+ pow-pow rem-square-sqrt |
| 7× | distribute-rgt-out |
| 6× | associate--l- inv-pow unsub-neg |
| 5× | difference-cubes distribute-rgt1-in |
| 4× | sin-sum difference-of-sqr-1 |
| 3× | rem-cube-cbrt distribute-lft-neg-out neg-mul-1 associate--r- |
| 2× | sqrt-undiv rem-exp-log pow-div |
| 1× | cube-prod unpow3 un-div-inv exp-to-pow distribute-rgt-out-- cos-sum cube-mult rem-cbrt-cube |
495 calls:
| 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))) (- (+ (+ alpha beta) (* 2 i)) (sqrt 1.0)))) |
| 3.1s | (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) (sqrt 1.0))) (/ 1 (/ (- (+ (+ alpha beta) (* 2 i)) (sqrt 1.0)) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)))))) |
| 1.7s | (* (* (exp -7) (/ (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (exp (- z 1)))) (* (/ (sqrt (* PI 2)) (exp 0.5)) (+ (+ (/ -0.13857109526572012 (+ z 5)) (+ (/ 12.507343278686905 (+ z 4)) (+ (/ 9.984369578019572e-06 (- z -6)) (/ 1.5056327351493116e-07 (+ 7 z))))) (+ (+ (/ -176.6150291621406 (+ (- z 1) 4)) (+ 0.9999999999998099 (+ (/ 676.5203681218851 z) (/ 771.3234287776531 (+ 2 z))))) (/ -1259.1392167224028 (+ 1 z)))))) |
| 1.4s | (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) |
| 1.2s | (* 1/6 (pow (* -2 (log u1)) 0.5)) |
Total 87.1b remaining (33.4%)
Threshold costs 4.4b (1.7%)
| 10.4b | 51.7% | math.log/2 on complex, real part |
| 10.0b | 57% | math.log10 on complex, real part |
| 9.4b | 59.2% | math.log/1 on complex, real part |
| 8.8b | 59.4% | math.abs on complex |
| 8.7b | 55.6% | math.sqrt on complex, real part |