| Date: | Thursday, June 11th, 2020 |
|---|---|
| Commit: | ff1367c2 on ival-find-range |
| Hostname: | warfa with Racket 7.5 |
| Seed: | 2020163 |
| 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 |
| 100× | intervals |
| 58.7s | 11844× | body | 5120 | exit |
| 21.8s | 360163× | body | 80 | valid |
| 12.0s | 19450× | body | 1280 | valid |
| 5.8s | 14936× | body | 640 | valid |
| 5.4s | 11324× | body | 1280 | invalid |
| 5.0s | 3034× | body | 1280 | nan |
| 3.2s | 2601× | body | 640 | nan |
| 2.6s | 8610× | body | 640 | invalid |
| 2.0s | 8055× | body | 320 | valid |
| 1.7s | 8154× | body | 160 | valid |
| 1.1s | 1303× | body | 320 | nan |
| 942.0ms | 49536× | pre | 80 | true |
| 818.0ms | 3926× | body | 320 | invalid |
| 808.0ms | 14726× | body | 80 | invalid |
| 399.0ms | 1448× | body | 2560 | valid |
| 370.0ms | 649× | body | 160 | nan |
| 288.0ms | 1979× | body | 160 | invalid |
| 248.0ms | 1710× | body | 80 | nan |
| 197.0ms | 594× | body | 5120 | valid |
| 54.0ms | 32× | body | 2560 | invalid |
| 0.0ms | 12× | body | 80 | overflowed |
Space saved by range analysis: 7.70519%
Space saved by search: 24.746025%
Guaranteed chance to sample good point: 85.732822%
493 calls:
| 11.3s | (- (pow 1.0 3) (/ (pow (* 1.0 (+ (* (- (* 0.254829592 0.254829592) (* (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))) (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))) (+ (* 1.421413741 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)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))) (* 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))) (* (- 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (pow 1.421413741 3) (pow (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))) 3))))))) 3) (pow (* (* (+ 1.0 (* 0.3275911 (fabs x))) (* (- 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ (* 1.421413741 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)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))) (* 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))) |
| 783.0ms | (- (pow 1.0 3) (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 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)) |
| 445.0ms | (* (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 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 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 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)) |
| 410.0ms | (* (/ (/ (* 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))))) |
| 391.0ms | (* (/ (/ (* 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)))) |
| 261× | egg-herbie |
Total 106.2b remaining (37.6%)
Threshold costs 4.4b (1.6%)
| 19.4b | 40.8% | math.sqrt on complex, imaginary part, im greater than 0 branch |
| 12.1b | 50.8% | math.log/2 on complex, real part |
| 10.6b | 55.5% | math.abs on complex |
| 10.5b | 64.4% | math.sqrt on complex, real part |
| 10.4b | 56.4% | math.log10 on complex, real part |
| 161× | rewrite-expression-head |
493 calls:
| 143.0ms | (/ (* (* (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))) |
| 135.0ms | (* (* (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)))) |
| 102.0ms | (* (/ (/ (* 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))))) |
| 98.0ms | (* (/ (/ (* 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)))) |
| 68.0ms | (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2.0 1.0))) (+ (+ alpha beta) (* 2.0 1.0))) (/ (- (* alpha alpha) (* (+ beta 3.0) (+ beta 3.0))) (- alpha (+ beta 3.0)))) |
| 14149× | times-frac |
| 11077× | *-un-lft-identity |
| 9441× | add-sqr-sqrt |
| 6899× | add-cube-cbrt |
| 3324× | add-exp-log |
| 2652× | add-cbrt-cube |
| 1958× | sqrt-prod |
| 1823× | frac-times |
| 1785× | pow1 |
| 1659× | flip-+ flip3-+ |
| 1576× | associate-*r/ |
| 1494× | distribute-lft-out |
| 1365× | associate-*r* |
| 1363× | associate-*l* |
| 1272× | prod-exp |
| 1160× | difference-of-squares |
| 1148× | frac-add |
| 1052× | associate-/r/ |
| 936× | cbrt-unprod |
| 820× | div-exp |
| 810× | associate-*l/ distribute-lft-out-- |
| 798× | add-log-exp |
| 721× | associate-/l* |
| 604× | cbrt-undiv |
| 599× | associate-/r* |
| 576× | div-inv |
| 545× | unpow-prod-down |
| 501× | cbrt-prod |
| 391× | pow-prod-down |
| 370× | unswap-sqr |
| 242× | log-pow |
| 238× | cube-prod |
| 233× | flip-- flip3-- |
| 224× | swap-sqr sqr-pow |
| 210× | sqrt-div |
| 209× | exp-diff |
| 206× | exp-neg |
| 200× | neg-sub0 |
| 195× | associate-/l/ |
| 183× | cube-div |
| 178× | cbrt-div |
| 170× | pow-exp pow-prod-up |
| 150× | *-commutative |
| 148× | pow-plus |
| 141× | sqrt-pow1 |
| 107× | clear-num frac-2neg |
| 105× | log-prod |
| 101× | diff-log |
| 100× | pow-to-exp |
| 92× | pow1/2 |
| 89× | sub-neg |
| 88× | pow1/3 |
| 82× | distribute-rgt-in distribute-lft-in |
| 75× | 1-exp |
| 74× | rec-exp |
| 70× | sum-log |
| 60× | pow-sqr |
| 56× | rem-sqrt-square |
| 45× | pow2 pow-unpow |
| 44× | associate--l+ associate-+l- |
| 38× | pow-sub |
| 37× | +-commutative |
| 30× | exp-prod |
| 29× | cube-mult unpow3 |
| 28× | pow-pow |
| 25× | unpow2 |
| 23× | pow-flip |
| 22× | log-div frac-sub |
| 19× | div-sub |
| 15× | associate--l- |
| 14× | rem-cube-cbrt |
| 13× | rem-log-exp inv-pow |
| 11× | associate--r+ |
| 10× | associate-+l+ un-div-inv |
| 9× | exp-sum |
| 8× | pow3 rem-exp-log |
| 6× | difference-cubes unpow-prod-up sin-sum |
| 5× | cos-sum |
| 4× | sub-div |
| 3× | associate-+r+ sqrt-undiv rem-cbrt-cube |
| 2× | rem-square-sqrt mul-1-neg sqrt-unprod sum-cubes |
| 1× | exp-to-pow log-rec distribute-rgt-out-- |
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