| Date: | Friday, June 5th, 2020 |
|---|---|
| Commit: | 08f7e9a2 on ival-find-range |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020157 |
| 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 |
| 98× | intervals |
| 2.6m | 27016× | body | 5120 | exit |
| 24.5s | 432547× | body | 80 | valid |
| 17.0s | 29976× | body | 1280 | valid |
| 13.0s | 8277× | body | 1280 | nan |
| 8.3s | 22963× | body | 640 | valid |
| 8.0s | 6929× | body | 640 | nan |
| 3.1s | 41334× | body | 80 | nan |
| 2.9s | 11875× | body | 320 | valid |
| 2.9s | 3488× | body | 320 | nan |
| 1.0s | 6188× | body | 160 | valid |
| 957.0ms | 49536× | pre | 80 | true |
| 935.0ms | 1780× | body | 160 | nan |
| 515.0ms | 1542× | body | 2560 | valid |
| 245.0ms | 664× | body | 5120 | valid |
| 191.0ms | 5291× | body | 80 | overflowed |
477 calls:
| 811.0ms | (- (pow 1.0 3) (* (sqrt (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 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 (neg (* (fabs x) (fabs x))))) 3)) (sqrt (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 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 (neg (* (fabs x) (fabs x))))) 3)))) |
| 793.0ms | (- (pow 1.0 3) (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 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 (neg (* (fabs x) (fabs x))))) 3)) |
| 456.0ms | (* (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 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 (neg (* (fabs x) (fabs x))))) (+ (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 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 (neg (* (fabs x) (fabs x))))) 1.0)) |
| 454.0ms | (* (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 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 (neg (* (fabs x) (fabs x))))) (+ (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 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 (neg (* (fabs x) (fabs x))))) 1.0)) |
| 394.0ms | (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))) (sqrt (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2.0 i))) (- (+ (+ alpha beta) (* 2.0 i)) (sqrt 1.0))))) |
| 256× | egg-herbie |
Total 74.2b remaining (29.2%)
Threshold costs 3.7b (1.5%)
| 10.5b | 58.1% | math.sqrt on complex, real part |
| 8.2b | 63% | math.log10 on complex, real part |
| 8.2b | 62.9% | math.log/1 on complex, real part |
| 8.1b | 64.2% | math.log/2 on complex, real part |
| 7.1b | 66.6% | math.abs on complex |
| 160× | rewrite-expression-head |
481 calls:
| 213.0ms | (* (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2.0 1.0)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2.0 1.0))))) (sqrt (+ (+ alpha beta) (* 2.0 1.0)))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2.0 1.0)))) (sqrt (+ (+ alpha beta) (* 2.0 1.0)))) (+ (+ (+ alpha beta) (* 2.0 1.0)) 1.0))) |
| 170.0ms | (* (/ (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (sqrt (exp (+ (+ (- z 1.0) 7.0) 0.5)))) (/ (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (/ (* (- (- z 1.0) 1.0) z) (- (- 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))) (sqrt (exp (+ (+ (- z 1.0) 7.0) 0.5))))) |
| 146.0ms | (/ (* (* (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) z) (- (- 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)))) (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) z) (- (- 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)))) (exp z)) (exp (- (- 1.0 7.0) 0.5))) |
| 140.0ms | (* (* (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) z) (- (- 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)))) |
| 8735× | *-un-lft-identity |
| 8659× | times-frac |
| 6194× | add-sqr-sqrt |
| 4715× | add-cube-cbrt |
| 2127× | distribute-lft-out |
| 2107× | add-exp-log |
| 1841× | cbrt-prod |
| 1800× | add-cbrt-cube |
| 1763× | associate-*r* |
| 1686× | pow1 |
| 1504× | sqrt-prod |
| 876× | associate-*l* |
| 848× | flip-+ flip3-+ |
| 775× | add-log-exp |
| 714× | associate-/r/ |
| 702× | prod-exp |
| 657× | associate-*r/ |
| 632× | frac-add |
| 603× | associate-/l* |
| 581× | unpow-prod-down |
| 539× | cbrt-unprod |
| 483× | cube-prod |
| 447× | frac-times |
| 412× | div-exp |
| 411× | associate-/r* |
| 390× | difference-of-squares |
| 362× | pow-prod-down |
| 342× | div-inv |
| 329× | cbrt-undiv |
| 313× | unswap-sqr |
| 269× | distribute-lft-out-- |
| 242× | associate-*l/ |
| 218× | cbrt-div |
| 212× | log-pow |
| 187× | associate-/l/ |
| 186× | flip-- flip3-- |
| 144× | sqrt-div *-commutative |
| 135× | pow-prod-up |
| 124× | sqr-pow |
| 118× | cube-div |
| 114× | pow1/3 |
| 109× | swap-sqr |
| 108× | log-prod |
| 99× | sub-neg |
| 97× | pow-plus diff-log |
| 94× | distribute-rgt-in distribute-lft-in |
| 93× | sqrt-pow1 |
| 89× | pow-exp |
| 86× | exp-neg exp-diff |
| 82× | clear-num frac-2neg |
| 77× | pow-sqr |
| 72× | neg-sub0 |
| 70× | pow1/2 |
| 68× | associate-+l- |
| 66× | sum-log |
| 55× | pow-sub |
| 54× | pow2 pow-to-exp |
| 49× | associate--l+ |
| 48× | rem-sqrt-square |
| 47× | exp-sum |
| 43× | cube-mult unpow3 |
| 42× | pow-unpow |
| 39× | exp-prod |
| 37× | +-commutative |
| 35× | pow-pow |
| 34× | 1-exp |
| 33× | rec-exp rem-cube-cbrt |
| 20× | un-div-inv |
| 16× | rem-log-exp log-div |
| 15× | associate--l- associate-+l+ div-sub |
| 12× | sin-sum rem-exp-log |
| 11× | unpow2 |
| 10× | associate--r+ |
| 9× | pow3 |
| 5× | associate-+r+ |
| 4× | unpow-prod-up frac-sub inv-pow rem-cbrt-cube pow-flip |
| 2× | difference-cubes mul-1-neg |
| 1× | cos-sum sqrt-undiv exp-to-pow log-rec |
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