Date:Thursday, April 9th, 2020
Commit:e7bf75bc on gh-actions
Hostname:warfa with Racket 7.5
Seed:2020100
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample1.9m (42.0%)

Algorithm
100×intervals
Results
47.1s15995×body10240exit
18.6s451804×body80valid
14.0s30540×body1280valid
6.5s23515×body640valid
2.8s3052×body1280nan
2.5s70126×body80nan
2.2s12200×body320valid
1.7s2578×body640nan
1.2s10132×body160valid
663.0ms49536×pre80true
633.0ms1294×body320nan
353.0ms1503×body2560valid
211.0ms660×body160nan
144.0ms578×body5120valid

series1.0m (23.8%)

Calls

491 calls:

3.3s
(- (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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (- (* (fabs x) (fabs x))))) 3))
1.5s
(* (* (/ 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0))))))))) (/ 1 (exp (pow (fabs x) 2))))) (+ (* (/ 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0))))))))) (/ 1 (exp (pow (fabs x) 2))))) 1.0))
916.0ms
(/ (* (/ (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) z)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (- 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)))
864.0ms
(* (* (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))))
854.0ms
(/ (* (* (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)))

prune56.4s (21.3%)

Filtered
19381 candidates to 11754 candidates (60.6%)

simplify14.7s (5.6%)

Algorithm
260×egg-herbie

regimes7.9s (3.0%)

Accuracy

Total 102.3b remaining (35.8%)

Threshold costs 4.7b (1.6%)

15.2b49.2%math.sqrt on complex, real part
12.0b51%math.log/2 on complex, real part
11.9b51.4%math.log10 on complex, real part
11.6b52.2%math.log/1 on complex, real part
11.4b51.6%math.abs on complex

rewrite7.2s (2.7%)

Algorithm
160×rewrite-expression-head
Calls

491 calls:

211.0ms
(* (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2.0 1.0)))) (+ (+ alpha beta) (* 2.0 1.0))) (+ (+ (+ alpha beta) (* 2.0 1.0)) 1.0)))
150.0ms
(/ (* (/ (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) z)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (- 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)))
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)))
140.0ms
(* (/ (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) z)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (- 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))))
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))))
Rules
10061×times-frac
8871×*-un-lft-identity
7526×add-sqr-sqrt
5598×add-cube-cbrt
2838×add-exp-log
2030×associate-*r*
2018×add-cbrt-cube
1970×pow1
1763×sqrt-prod
1522×distribute-lft-out
1108×unpow-prod-down
1018×frac-add
1012×cbrt-prod
987×prod-exp
952×associate-*l*
879×flip-+ flip3-+
798×add-log-exp
793×associate-*r/
770×cube-prod
714×associate-/l*
687×div-exp
657×associate-/r/
611×frac-times
604×cbrt-unprod
581×associate-*l/
564×associate-/r*
534×log-pow
456×pow-prod-down
436×difference-of-squares
411×sqrt-div
410×div-inv
388×unswap-sqr
377×cbrt-undiv
352×associate-/l/
283×distribute-lft-out--
281×flip3-- flip--
268×sqrt-pow1
221×sqr-pow
215×swap-sqr
182×pow1/2
166×pow-exp
156×*-commutative
150×pow-prod-up
124×log-prod
118×pow-to-exp
106×cbrt-div 1-exp
105×rec-exp
100×clear-num frac-2neg
92×diff-log
90×pow1/3
84×frac-sub
82×sub-neg
78×distribute-rgt-in distribute-lft-in
76×sum-log
74×pow-sqr exp-prod
65×unpow3 cube-mult
63×pow-plus
62×rem-sqrt-square
61×un-div-inv
60×pow-unpow
54×associate-+l-
51×cube-div
48×+-commutative
47×exp-sum
43×div-sub log-div
41×pow2 pow-sub
35×pow-pow associate--l+
33×unpow2
32×rem-cube-cbrt
24×pow-flip
22×exp-diff
18×inv-pow distribute-neg-frac
17×rem-log-exp
15×associate-+l+
13×rem-exp-log
12×associate--l-
11×distribute-rgt-neg-in distribute-lft-neg-in
10×exp-neg associate-+r+
9×unpow-prod-up neg-sub0
7×rem-cbrt-cube
6×distribute-neg-in associate--r+
5×pow3 neg-mul-1
4×difference-cubes sqrt-unprod rem-square-sqrt
3×distribute-rgt-neg-out
2×distribute-lft-neg-out sin-sum sqrt-undiv exp-to-pow
1×cos-sum sqrt-pow2 associate-+r- distribute-frac-neg neg-log associate--r-

localize2.5s (0.9%)

bsearch1.8s (0.7%)

end1.0ms (0.0%)