Date:Tuesday, June 9th, 2020
Commit:8ccfdff1 on master
Hostname:warfa with Racket 7.5
Seed:2020161
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

Details

sample2.5min (53.1%)

Algorithm
100×intervals
Results
55.4s11646×body5120exit
29.8s466887×body80valid
17.1s30645×body1280valid
8.0s22779×body640valid
5.1s3104×body1280nan
3.6s71209×body80nan
3.0s2441×body640nan
2.7s11677×body320valid
1.9s10223×body160valid
1.0s1162×body320nan
848.0ms49536×pre80true
480.0ms1446×body2560valid
367.0ms653×body160nan
194.0ms582×body5120valid
121.0ms3738×body80overflowed

prune1.3min (28.0%)

Filtered
21210 candidates to 12811 candidates (39.6%)

simplify17.1s (6.2%)

Algorithm
263×egg-herbie

series13.5s (4.9%)

Calls

503 calls:

460.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (* (- 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))))))
459.0ms
(- 1.0 (* (* (/ 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 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (* (- 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))))))
458.0ms
(log (exp (- 1.0 (* (* (/ 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 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (* (- 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))))))))
458.0ms
(- 1.0 (* (* (/ 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 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (* (- 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))))))
417.0ms
(* (/ (/ (* 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)))))

regimes11.0s (4.0%)

Accuracy

Total 102.8b remaining (40.3%)

Threshold costs 4.1b (1.6%)

17.5b45.4%math.sqrt on complex, imaginary part, im greater than 0 branch
10.3b58.1%math.log10 on complex, real part
10.2b58.6%math.log/1 on complex, real part
10.2b58.4%math.log/2 on complex, real part
9.8b58.9%math.abs on complex

rewrite6.9s (2.5%)

Algorithm
163×rewrite-expression-head
Calls

503 calls:

163.0ms
(/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 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)) 1.0))
141.0ms
(/ (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) z)) (+ (+ (+ (+ (+ (+ (+ (+ 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)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (- 1.0 0.5))))
137.0ms
(/ (* (* (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)))
124.0ms
(* (* (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))))
121.0ms
(* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) z)) (+ (+ (+ (+ (+ (+ (+ (+ 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))))
Rules
19505×times-frac
14457×*-un-lft-identity
10456×add-sqr-sqrt
9123×add-cube-cbrt
4430×sqrt-prod
3566×add-exp-log
2802×add-cbrt-cube
2571×distribute-lft-out
2095×pow1
1515×prod-exp
1514×associate-*r*
1246×associate-*l*
1119×cbrt-unprod
1045×flip-+ flip3-+
996×associate-/l*
894×associate-/r/
891×associate-*r/
780×div-exp
769×add-log-exp
740×frac-add
703×associate-/r*
618×pow-prod-down
572×cbrt-prod
534×frac-times
528×cbrt-undiv
503×div-inv
488×sqrt-div
356×unswap-sqr
337×associate-*l/
312×unpow-prod-down
298×flip-- flip3--
261×log-pow
252×swap-sqr
214×difference-of-squares
213×associate-/l/
205×sqrt-pow1
184×cbrt-div
175×*-commutative
173×log-prod distribute-lft-out--
136×pow1/2
125×pow-prod-up
122×pow-exp
113×sqr-pow
111×distribute-rgt-in distribute-lft-in
100×pow1/3
87×pow-to-exp sub-neg
86×pow-plus
80×cube-prod
79×diff-log
78×1-exp
77×clear-num frac-2neg
71×rec-exp pow-sqr
70×rem-sqrt-square
69×sum-log
58×pow-unpow
50×associate-+l-
47×exp-sum
44×exp-prod
42×+-commutative
41×pow2
40×pow-sub
34×associate--l+
26×log-div
22×cube-mult unpow3
21×rem-log-exp
18×cube-div pow-pow
17×exp-diff
16×associate-+l+
14×div-sub
13×associate--l- associate-+r+
11×pow-flip rem-exp-log
10×un-div-inv
inv-pow rem-cube-cbrt
frac-sub pow3 associate--r+
rem-cbrt-cube
unpow-prod-up sqrt-unprod unpow2
rem-square-sqrt sin-sum
cos-sum exp-to-pow associate--r-

localize2.7s (1.0%)

bsearch847.0ms (0.3%)

end1.0ms (0.0%)

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