| Date: | Thursday, March 19th, 2020 |
|---|---|
| Commit: | 2b8af9a1 on simpler-alts |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020079 |
| 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 |
| 100× | intervals |
| 48.0s | 15719× | body | 10240 | exit |
| 18.8s | 444369× | body | 80 | valid |
| 14.0s | 29590× | body | 1280 | valid |
| 6.9s | 23571× | body | 640 | valid |
| 3.0s | 3096× | body | 1280 | nan |
| 2.7s | 70021× | body | 80 | nan |
| 2.2s | 11894× | body | 320 | valid |
| 1.8s | 2524× | body | 640 | nan |
| 1.2s | 9985× | body | 160 | valid |
| 685.0ms | 49536× | pre | 80 | true |
| 635.0ms | 1276× | body | 320 | nan |
| 362.0ms | 1477× | body | 2560 | valid |
| 207.0ms | 638× | body | 160 | nan |
| 142.0ms | 571× | body | 5120 | valid |
464 calls:
| 1.8s | (/ (* (* (- (* (+ (+ 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)))))) |
| 1.3s | (- 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)))))) |
| 1.3s | (- 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)))))) |
| 1.3s | (- 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)))))) |
| 258× | egg-herbie |
Total 35.0b remaining (31.2%)
Threshold costs 7.8b (7%)
| 7.3b | 35.1% | _divideComplex, real part |
| 5.3b | 19.9% | Octave 3.8, jcobi/2 |
| 4.3b | 25.9% | math.sqrt on complex, real part |
| 4.2b | 24.8% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 2.8b | 77.3% | Octave 3.8, jcobi/1 |
| 158× | rewrite-expression-head |
464 calls:
| 184.0ms | (* 0.0140005442 (* (* (* (* x x) (* x x)) (* x x)) (* x x))) |
| 148.0ms | (/ (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (* 1 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))) |
| 141.0ms | (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- z 1.0) 1.0))) (/ -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)))) |
| 139.0ms | (* (/ (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (exp (+ (- z 1.0) 7.0))) (/ (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (* 1 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 0.5))) |
| 139.0ms | (* (/ (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (* 1 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)) (exp (- (- 1.0 7.0) 0.5))) |
| 6754× | *-un-lft-identity |
| 5190× | times-frac |
| 5151× | add-sqr-sqrt |
| 4098× | add-cube-cbrt |
| 2553× | add-exp-log |
| 1961× | add-cbrt-cube |
| 1468× | pow1 |
| 1367× | prod-diff |
| 1346× | distribute-lft-out |
| 986× | prod-exp |
| 863× | associate-*l* |
| 833× | associate-*r* |
| 705× | add-log-exp |
| 699× | cbrt-unprod |
| 584× | sqrt-prod |
| 579× | div-exp |
| 543× | cbrt-div |
| 524× | flip-+ flip3-+ |
| 518× | frac-add |
| 501× | associate-/l* |
| 474× | cbrt-prod |
| 466× | log1p-expm1-u |
| 465× | expm1-log1p-u |
| 460× | pow-prod-down |
| 384× | associate-*r/ |
| 361× | frac-times |
| 348× | associate-/r/ |
| 330× | cbrt-undiv |
| 320× | div-inv |
| 310× | associate-/r* |
| 263× | unpow-prod-down |
| 235× | difference-of-squares |
| 229× | fma-def |
| 226× | distribute-rgt-in distribute-lft-in |
| 225× | unswap-sqr |
| 217× | distribute-lft-out-- |
| 192× | fma-neg |
| 188× | associate-*l/ |
| 175× | exp-sum |
| 166× | log-pow |
| 158× | associate--l+ |
| 144× | 1-exp |
| 137× | flip3-- flip-- |
| 129× | associate-/l/ |
| 126× | *-commutative |
| 122× | pow1/3 |
| 110× | sqrt-div |
| 102× | log-prod |
| 100× | cube-prod |
| 94× | swap-sqr |
| 85× | sqrt-pow1 |
| 84× | sub-neg pow-exp |
| 80× | clear-num frac-2neg |
| 79× | associate-+l- |
| 78× | distribute-rgt-neg-in |
| 77× | distribute-lft-neg-in |
| 76× | rec-exp |
| 73× | pow-unpow |
| 72× | pow-sub |
| 70× | diff-log associate--r+ |
| 69× | sqr-pow |
| 67× | fma-udef sum-log |
| 56× | pow1/2 |
| 53× | pow-to-exp |
| 46× | associate-+r+ |
| 39× | +-commutative |
| 38× | pow-prod-up |
| 37× | neg-mul-1 |
| 34× | pow-sqr |
| 25× | rem-sqrt-square |
| 23× | associate-+l+ |
| 22× | unpow3 cube-mult |
| 21× | pow-pow |
| 19× | div-sub |
| 17× | pow-plus |
| 16× | rem-cube-cbrt pow2 |
| 15× | pow-flip |
| 14× | hypot-def |
| 12× | associate--l- |
| 11× | inv-pow |
| 7× | sqrt-unprod rem-log-exp |
| 6× | cube-div exp-diff frac-sub |
| 5× | sqrt-undiv neg-sub0 exp-prod distribute-rgt-out-- |
| 4× | un-div-inv sin-sum unpow-prod-up distribute-frac-neg rem-cbrt-cube unpow2 |
| 3× | distribute-lft-neg-out log1p-udef log1p-expm1 expm1-log1p expm1-udef log-div |
| 2× | pow-div rem-exp-log associate-+r- sub-div rem-square-sqrt neg-log distribute-rgt-neg-out |
| 1× | sqrt-pow2 exp-neg hypot-udef cos-sum associate--r- sum-cubes |