| Date: | Tuesday, June 23rd, 2020 |
|---|---|
| Commit: | ce6c70f5 on ival-perf-with-search |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020175 |
| Parameters: | 256 points for 4 iterations |
| Flags: | setup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback default |
| 156× | rewrite-expression-head |
475 calls:
| 45.3s | (* (* (/ 1.0 (sqrt PI)) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1.0 (fabs x)) (* (/ 1.0 2.0) (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))))) (* (/ 3.0 4.0) (* (* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))))) (* (/ 15.0 8.0) (* (* (* (* (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x))) (/ 1.0 (fabs x)))))) |
| 255.0ms | (* (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))) |
| 179.0ms | (- (pow (pow 1.0 3) 3) (pow (/ (pow (* 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)))))))))) 3) (pow (* (* (+ 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 (* (fabs x) (fabs x)))) 3)) 3)) |
| 132.0ms | (+ (/ (/ (+ alpha beta) (/ (+ alpha (+ (* 2.0 i) beta)) (- beta alpha))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0) |
| 97.0ms | (* (/ (/ (* 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)))) |
| 13098× | times-frac |
| 11042× | *-un-lft-identity |
| 8046× | add-sqr-sqrt |
| 6373× | add-cube-cbrt |
| 2187× | distribute-lft-out |
| 2063× | add-exp-log |
| 1991× | sqrt-prod |
| 1642× | add-cbrt-cube |
| 1622× | pow1 |
| 1131× | associate-*r* |
| 1101× | associate-*l* |
| 817× | associate-/l* |
| 776× | add-log-exp |
| 749× | associate-/r/ |
| 701× | flip-+ flip3-+ |
| 647× | prod-exp |
| 559× | associate-/r* |
| 511× | cbrt-unprod |
| 501× | difference-of-squares |
| 440× | div-inv |
| 423× | div-exp |
| 417× | pow-prod-down |
| 397× | cbrt-prod |
| 338× | frac-times |
| 336× | associate-*r/ |
| 314× | sqrt-div |
| 308× | distribute-lft-out-- |
| 300× | unpow-prod-down |
| 288× | cbrt-undiv |
| 284× | sqr-pow |
| 283× | unswap-sqr |
| 257× | cbrt-div |
| 217× | sqrt-pow1 |
| 212× | log-pow |
| 204× | flip-- flip3-- |
| 198× | associate-*l/ |
| 188× | cube-prod |
| 139× | pow1/2 |
| 136× | *-commutative |
| 122× | log-prod |
| 113× | swap-sqr |
| 108× | associate-/l/ |
| 95× | sub-neg diff-log |
| 92× | pow-prod-up |
| 89× | distribute-rgt-in distribute-lft-in |
| 84× | clear-num frac-2neg |
| 77× | pow1/3 |
| 76× | sum-log |
| 75× | pow-exp |
| 65× | rem-sqrt-square |
| 64× | pow-unpow |
| 62× | pow-sqr |
| 53× | 1-exp |
| 52× | rec-exp |
| 51× | pow-to-exp |
| 50× | +-commutative |
| 40× | cube-div frac-add |
| 39× | associate--l+ |
| 34× | pow-plus |
| 30× | exp-diff |
| 28× | pow2 exp-neg |
| 26× | pow-pow |
| 25× | exp-prod |
| 24× | neg-sub0 |
| 20× | rem-log-exp associate--r+ rem-cube-cbrt |
| 19× | cube-mult unpow3 |
| 17× | associate--l- log-div unpow2 |
| 14× | associate-+l+ un-div-inv |
| 13× | exp-sum div-sub |
| 12× | difference-cubes |
| 9× | inv-pow pow-flip |
| 7× | associate--r- |
| 5× | associate-+r+ rem-exp-log |
| 4× | rem-square-sqrt sqrt-unprod sin-sum |
| 3× | cos-sum associate-+l- rem-cbrt-cube |
| 2× | frac-sub |
| 1× | sum-cubes |
467 calls:
| 6.9s | (- (pow 1.0 3) (/ (pow (* 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)))))))))) 3) (pow (* (* (+ 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 (* (fabs x) (fabs x)))) 3))) |
| 772.0ms | (- (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)) |
| 438.0ms | (* (* (* (/ 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)) |
| 427.0ms | (* (/ (/ (* 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)))) |
| 308.0ms | (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i)))) (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) 1.0)) |
| 97× | intervals |
| 53.1s | 8345× | body | 5120 | exit |
| 20.3s | 348135× | body | 80 | valid |
| 7.6s | 15881× | body | 1280 | valid |
| 5.6s | 11328× | body | 1280 | invalid |
| 3.4s | 12289× | body | 640 | valid |
| 2.7s | 8528× | body | 640 | invalid |
| 1.4s | 79015× | pre | 80 | true |
| 1.2s | 6571× | body | 320 | valid |
| 940.0ms | 17687× | body | 80 | invalid |
| 845.0ms | 3896× | body | 320 | invalid |
| 417.0ms | 3624× | body | 160 | valid |
| 416.0ms | 1444× | body | 2560 | valid |
| 265.0ms | 1883× | body | 160 | invalid |
| 216.0ms | 602× | body | 5120 | valid |
| 214.0ms | 2298× | body | 80 | nan |
| 75.0ms | 44× | body | 2560 | invalid |
| 1.0ms | 16× | body | 80 | overflowed |
| 97× | search |
| 250× | egg-herbie |
Total 98.3b remaining (36.5%)
Threshold costs 4.2b (1.5%)
| 11.7b | 38.7% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 11.1b | 53.2% | math.abs on complex |
| 11.1b | 53.9% | math.log10 on complex, real part |
| 11.0b | 54.3% | math.log/1 on complex, real part |
| 10.7b | 57.1% | math.log/2 on complex, real part |
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