| Date: | Tuesday, February 25th, 2020 |
|---|---|
| Commit: | 4d1e59da on refactor-and-minor |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020056 |
| Parameters: | 256 points for 4 iterations |
| Flags: | setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback +o rules:numerics |
| 152× | rewrite-expression-head |
448 calls:
| 9.5m | (/ (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 z)) (/ -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))) |
| 7.1s | (* (/ (+ (+ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* 0.0424060604 (* (* x x) (* x x)))) (* 0.0072644182 (* (* (* x x) (* x x)) (* x x)))) (* 0.0005064034 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0001789971 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1.0 (* 0.7715471019 (* x x))) (* 0.2909738639 (* (* x x) (* x x)))) (* 0.0694555761 (* (* (* x x) (* x x)) (* x x)))) (* 0.0140005442 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0008327945 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2.0 0.0001789971) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) |
| 4.1s | (/ (+ (+ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* 0.0424060604 (* (* x x) (* x x)))) (* 0.0072644182 (* (* (* x x) (* x x)) (* x x)))) (* 0.0005064034 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0001789971 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1.0 (* 0.7715471019 (* x x))) (* 0.2909738639 (* (* x x) (* x x)))) (* 0.0694555761 (* (* (* x x) (* x x)) (* x x)))) (* 0.0140005442 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0008327945 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2.0 0.0001789971) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) |
| 1.1s | (* 0.0140005442 (* (* (* (* x x) (* x x)) (* x x)) (* x x))) |
| 1.1s | (* 0.0005064034 (* (* (* (* x x) (* x x)) (* x x)) (* x x))) |
| 6893× | *-un-lft-identity |
| 6568× | times-frac |
| 5912× | add-sqr-sqrt |
| 4837× | add-cube-cbrt |
| 2691× | add-exp-log |
| 1965× | add-cbrt-cube |
| 1535× | prod-diff |
| 1497× | pow1 |
| 1313× | sqrt-prod |
| 1072× | prod-exp |
| 871× | distribute-lft-out |
| 851× | associate-*r* |
| 789× | associate-*l* |
| 705× | cbrt-unprod |
| 660× | add-log-exp |
| 616× | div-exp |
| 595× | associate-/l* |
| 506× | pow-prod-down |
| 449× | log1p-expm1-u |
| 446× | expm1-log1p-u |
| 389× | associate-/r* |
| 373× | associate-/r/ |
| 347× | div-inv |
| 334× | cbrt-undiv |
| 333× | flip-+ flip3-+ |
| 289× | unpow-prod-down |
| 253× | cbrt-prod |
| 243× | difference-of-squares |
| 242× | unswap-sqr |
| 234× | distribute-lft-out-- |
| 232× | fma-neg |
| 225× | distribute-rgt-in distribute-lft-in |
| 218× | associate-*r/ |
| 215× | fma-def |
| 194× | log-pow |
| 182× | sqrt-div |
| 169× | exp-sum |
| 148× | 1-exp |
| 136× | associate--l+ |
| 127× | sqr-pow associate-*l/ |
| 125× | *-commutative flip3-- flip-- |
| 112× | cube-prod frac-times |
| 92× | log-prod |
| 91× | clear-num frac-2neg |
| 90× | sub-neg |
| 89× | pow-exp |
| 79× | associate-/l/ |
| 76× | frac-add diff-log |
| 75× | sqrt-pow1 |
| 72× | cbrt-div |
| 71× | associate--r+ |
| 70× | swap-sqr |
| 67× | rec-exp |
| 66× | fma-udef |
| 63× | pow-to-exp |
| 61× | pow1/3 |
| 54× | exp-prod |
| 53× | pow1/2 |
| 52× | pow-unpow |
| 41× | sum-log |
| 39× | pow-prod-up |
| 34× | unpow3 cube-mult |
| 30× | +-commutative |
| 27× | rem-sqrt-square |
| 25× | pow-sqr pow-plus div-sub |
| 24× | distribute-rgt-neg-in distribute-lft-neg-in |
| 22× | neg-mul-1 |
| 18× | pow-pow |
| 17× | associate-+l+ hypot-udef |
| 16× | pow2 |
| 15× | pow-flip |
| 14× | associate--l- |
| 12× | associate-+r+ hypot-def |
| 11× | inv-pow |
| 9× | rem-cube-cbrt |
| 7× | rem-exp-log |
| 6× | log1p-udef sqrt-unprod log1p-expm1 rem-log-exp |
| 5× | exp-diff rem-cbrt-cube distribute-rgt-neg-out associate-+l- |
| 4× | sqrt-undiv sin-sum distribute-neg-in expm1-log1p frac-sub expm1-udef unpow2 |
| 2× | sqrt-pow2 un-div-inv pow3 rem-square-sqrt neg-sub0 neg-log log-div |
| 1× | distribute-lft-neg-out unpow-prod-up pow-sub unsub-neg cos-sum associate--r- |
| 98× | intervals |
| 44.1s | 11865× | body | 10240 | exit |
| 18.1s | 438149× | body | 80 | valid |
| 11.3s | 27353× | body | 1280 | valid |
| 5.2s | 21229× | body | 640 | valid |
| 2.6s | 69933× | body | 80 | nan |
| 1.7s | 1629× | body | 1280 | nan |
| 1.6s | 10546× | body | 320 | valid |
| 1.1s | 9479× | body | 160 | valid |
| 952.0ms | 1344× | body | 640 | nan |
| 680.0ms | 49536× | pre | 80 | true |
| 350.0ms | 1394× | body | 2560 | valid |
| 335.0ms | 659× | body | 320 | nan |
| 152.0ms | 593× | body | 5120 | valid |
| 109.0ms | 326× | body | 160 | nan |
445 calls:
| 2.4s | (cbrt (- 1.0 (* (* (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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)))))))))) (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (- (* (fabs x) (fabs x))))))) |
| 2.3s | (cbrt (- 1.0 (* (* (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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)))))))))) (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (- (* (fabs x) (fabs x))))))) |
| 1.9s | (/ (* (* (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) 1.0) (fma i 2.0 (+ alpha beta))) (fma i 2.0 (+ alpha beta))) (fma beta alpha (* i (+ (+ alpha beta) i)))) |
| 1.5s | (- 1.0 (* (* (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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)))))))))) (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (- (* (fabs x) (fabs x)))))) |
| 1.4s | (- 1.0 (* (* (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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)))))))))) (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (- (* (fabs x) (fabs x)))))) |
| 248× | egg-herbie |
Total 40.8b remaining (29%)
Threshold costs 6.2b (4.4%)
| 9.0b | 31.9% | _divideComplex, imaginary part |
| 7.4b | 33.4% | _divideComplex, real part |
| 5.9b | 9.9% | Octave 3.8, jcobi/2 |
| 4.1b | 26.8% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 3.9b | 38.1% | math.sqrt on complex, real part |