| Date: | Tuesday, June 30th, 2020 |
|---|---|
| Commit: | 8ccfdff1 on old-regraph |
| Hostname: | debbie with Racket 7.7 |
| Seed: | 2020182 |
| Parameters: | 256 points for 4 iterations |
| Flags: | setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback default |
| 97× | intervals |
| 43.2s | 8157× | body | 5120 | exit |
| 25.2s | 430147× | body | 80 | valid |
| 12.6s | 27522× | body | 1280 | valid |
| 6.2s | 21297× | body | 640 | valid |
| 4.0s | 68466× | body | 80 | nan |
| 3.3s | 1620× | body | 1280 | nan |
| 2.0s | 10574× | body | 320 | valid |
| 2.0s | 1301× | body | 640 | nan |
| 1.9s | 9743× | body | 160 | valid |
| 965.0ms | 49536× | pre | 80 | true |
| 712.0ms | 653× | body | 320 | nan |
| 542.0ms | 1503× | body | 2560 | valid |
| 233.0ms | 603× | body | 5120 | valid |
| 229.0ms | 331× | body | 160 | nan |
| 157.0ms | 4102× | body | 80 | overflowed |
| 155× | rewrite-expression-head |
459 calls:
| 1.5s | (+ (* (- (* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (* (/ 12.507343278686905 (+ (- z 1.0) 5.0)) (/ 12.507343278686905 (+ (- z 1.0) 5.0)))) (* (+ (- z 1.0) 6.0) (- (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))) (* (- (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (+ (* -0.13857109526572012 (- (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)))) (* (+ (- z 1.0) 6.0) (- (* (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (* (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)))))))) |
| 968.0ms | (cbrt (* (/ (pow x 3) (* (* (+ (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))) (+ (+ (* 0.0001789971 (* 2.0 (pow (* x x) 6))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) 0.0694555761))) (+ (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))) (+ (+ (* 0.0001789971 (* 2.0 (pow (* x x) 6))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) 0.0694555761)))) (+ (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))) (+ (+ (* 0.0001789971 (* 2.0 (pow (* x x) 6))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) 0.0694555761))))) (* (* (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ (* (pow x 4) 0.0424060604) (* (pow x 6) 0.0072644182))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ (* (pow x 4) 0.0424060604) (* (pow x 6) 0.0072644182))) (+ 1.0 (* 0.1049934947 (* x x))))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ (* (pow x 4) 0.0424060604) (* (pow x 6) 0.0072644182))) (+ 1.0 (* 0.1049934947 (* x x))))))) |
| 783.0ms | (* (/ (pow x 3) (* (* (+ (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))) (+ (+ (* 0.0001789971 (* 2.0 (pow (* x x) 6))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) 0.0694555761))) (+ (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))) (+ (+ (* 0.0001789971 (* 2.0 (pow (* x x) 6))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) 0.0694555761)))) (+ (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))) (+ (+ (* 0.0001789971 (* 2.0 (pow (* x x) 6))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) 0.0694555761))))) (* (* (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ (* (pow x 4) 0.0424060604) (* (pow x 6) 0.0072644182))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ (* (pow x 4) 0.0424060604) (* (pow x 6) 0.0072644182))) (+ 1.0 (* 0.1049934947 (* x x))))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ (* (pow x 4) 0.0424060604) (* (pow x 6) 0.0072644182))) (+ 1.0 (* 0.1049934947 (* x x)))))) |
| 266.0ms | (* (sqrt (* PI 2.0)) (/ (+ (+ (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (+ (- z 1.0) 2.0)))) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ 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)))))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))) |
| 263.0ms | (* (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2.0 1.0))) (+ (+ alpha beta) (* 2.0 1.0)))) (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2.0 1.0))) (+ (+ alpha beta) (* 2.0 1.0)))) (+ (+ (+ alpha beta) (* 2.0 1.0)) 1.0))) |
| 267583× | frac-times |
| 213192× | associate-*r/ |
| 182040× | frac-add |
| 145023× | frac-sub |
| 95954× | flip-+ flip3-+ |
| 86710× | associate-*l/ |
| 61814× | flip-- flip3-- |
| 13042× | *-un-lft-identity |
| 12627× | times-frac |
| 8036× | add-sqr-sqrt |
| 6835× | cbrt-div |
| 6194× | add-cube-cbrt |
| 3583× | distribute-lft-out |
| 2586× | sqrt-prod |
| 2492× | add-exp-log |
| 1993× | associate-*r* |
| 1945× | add-cbrt-cube |
| 1689× | pow1 |
| 1532× | associate-/r/ |
| 1385× | associate-*l* |
| 1058× | add-log-exp |
| 898× | prod-exp |
| 743× | associate-/r* |
| 633× | cbrt-unprod |
| 623× | associate-/l* |
| 522× | div-exp |
| 484× | distribute-lft-out-- |
| 475× | sqrt-div |
| 460× | pow-prod-down |
| 446× | cbrt-prod |
| 430× | div-inv |
| 405× | sum-log |
| 387× | difference-of-squares |
| 381× | cbrt-undiv |
| 377× | unswap-sqr |
| 339× | unpow-prod-down |
| 289× | swap-sqr |
| 218× | associate-/l/ |
| 164× | log-pow |
| 159× | sqrt-pow1 |
| 151× | *-commutative |
| 119× | pow-exp |
| 117× | sqr-pow |
| 111× | cube-prod |
| 110× | exp-sum |
| 109× | distribute-rgt-in distribute-lft-in |
| 100× | pow1/2 |
| 93× | pow-prod-up |
| 89× | log-prod |
| 88× | pow1/3 |
| 85× | clear-num frac-2neg |
| 84× | pow-to-exp |
| 72× | sub-neg |
| 64× | pow-sqr |
| 59× | pow-unpow |
| 58× | pow-plus |
| 55× | +-commutative |
| 53× | rem-sqrt-square |
| 42× | 1-exp |
| 40× | pow-pow |
| 39× | rec-exp |
| 34× | unpow-prod-up |
| 33× | pow2 diff-log |
| 28× | log-div exp-prod |
| 25× | cube-mult unpow3 |
| 24× | associate-+l+ |
| 20× | associate-+r+ |
| 17× | div-sub |
| 15× | exp-diff |
| 13× | pow-flip |
| 9× | inv-pow associate-+l- |
| 8× | rem-log-exp associate--r+ |
| 7× | sum-cubes |
| 6× | pow-sub |
| 5× | distribute-rgt-neg-in sin-sum un-div-inv rem-cube-cbrt |
| 4× | cube-div distribute-rgt-out rem-cbrt-cube rem-exp-log |
| 3× | cos-sum pow3 associate--l+ |
| 2× | neg-sub0 rem-square-sqrt sqrt-unprod associate--r- unpow2 |
| 1× | sqrt-undiv associate-+r- distribute-lft1-in count-2 distribute-rgt1-in distribute-rgt-out-- |
459 calls:
| 5.0s | (- (* 1.0 1.0) (* (* (/ (* (- (* 0.254829592 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))))))) (* (/ 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 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))))))) (* (/ 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)))))))))) (/ (* 1.0 1.0) (pow (+ 1.0 (* 0.3275911 (fabs x))) 2))) (exp (- (neg (pow (fabs x) 2)) (pow (fabs x) 2))))) |
| 4.8s | (exp (log (- (* 1.0 1.0) (* (* (/ (* (- (* 0.254829592 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))))))) (* (/ 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 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))))))) (* (/ 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)))))))))) (/ (* 1.0 1.0) (pow (+ 1.0 (* 0.3275911 (fabs x))) 2))) (exp (- (neg (pow (fabs x) 2)) (pow (fabs x) 2))))))) |
| 4.8s | (- (* 1.0 1.0) (* (* (/ (* (- (* 0.254829592 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))))))) (* (/ 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 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))))))) (* (/ 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)))))))))) (/ (* 1.0 1.0) (pow (+ 1.0 (* 0.3275911 (fabs x))) 2))) (exp (- (neg (pow (fabs x) 2)) (pow (fabs x) 2))))) |
| 934.0ms | (/ (* (/ (/ (* 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))) |
| 932.0ms | (* (/ (/ (* 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)))) |
Total 96.4b remaining (35.7%)
Threshold costs 3.9b (1.4%)
| 18.9b | 40.3% | math.log10 on complex, real part |
| 10.6b | 57.4% | math.log/2 on complex, real part |
| 10.1b | 58.8% | math.log/1 on complex, real part |
| 9.8b | 58.6% | math.abs on complex |
| 9.7b | 68.1% | math.sqrt on complex, imaginary part, im greater than 0 branch |
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