Date:Tuesday, July 21st, 2020
Commit:e15f1dc1 on master
Hostname:warfa with Racket 7.5
Seed:2020203
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

Details

prune2.9min (52.7%)

Filtered
15217 candidates to 10278 candidates (32.5%)

sample1.6min (28.4%)

Algorithm
99×intervals
Results
37.6s7315×body5120exit
21.0s358727×body80valid
7.2s15599×body1280valid
5.5s11378×body1280invalid
3.3s12383×body640valid
2.6s8722×body640invalid
1.4s7508×body160valid
1.4s84552×pre80true
1.1s6777×body320valid
1.1s17537×body80invalid
830.0ms4057×body320invalid
410.0ms1417×body2560valid
249.0ms1839×body160invalid
205.0ms2360×body80nan
202.0ms569×body5120valid
97.0ms57×body2560invalid
0.0ms14×body80overflowed

series14.5s (4.4%)

Calls

443 calls:

535.0ms
(- (* 1.0 1.0) (* (/ (+ 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 (pow (fabs x) 2))) (* (/ (+ 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 (pow (fabs x) 2))) (/ 1.0 (/ (pow (+ 1.0 (* 0.3275911 (fabs x))) 2) 1.0)))))
532.0ms
(- (* 1.0 1.0) (* (* 1.0 (/ 1.0 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2))) (/ (+ 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)))))))) (/ (pow (exp (pow (fabs x) 2)) 2) (+ 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))))))))))))
531.0ms
(- (* 1.0 1.0) (* (* 1.0 (/ 1.0 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2))) (/ (+ 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)))))))) (/ (pow (exp (pow (fabs x) 2)) 2) (+ 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))))))))))))
529.0ms
(exp (log (- (* 1.0 1.0) (* (* 1.0 (/ 1.0 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2))) (/ (+ 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)))))))) (/ (pow (exp (pow (fabs x) 2)) 2) (+ 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))))))))))))))
528.0ms
(- (* 1.0 1.0) (* (* 1.0 (/ 1.0 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2))) (/ (+ 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)))))))) (/ (pow (exp (pow (fabs x) 2)) 2) (+ 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))))))))))))

analyze13.9s (4.2%)

Algorithm
50×search
Search
TrueOtherFalseIter
0%87.1%12.9%0
2.5%84.6%12.9%1
9.3%75.6%15.1%2
22.1%62.3%15.6%3
27.1%55.4%17.4%4
36.3%45.6%18.1%5
39.7%40.6%19.7%6
44.2%33.4%22.4%7
47.6%29.3%23.1%8
50.7%25.2%24.1%9
53.2%21.6%25.2%10
55.3%18.7%26%11
57.2%16.3%26.5%12
59.1%13.6%27.4%13
60.1%12.2%27.7%14

simplify13.3s (4.0%)

Algorithm
252×egg-herbie

regimes10.7s (3.2%)

Accuracy

Total 103.5b remaining (42.2%)

Threshold costs 5.3b (2.2%)

13.4b53.4%math.sqrt on complex, real part
11.2b41.8%math.sqrt on complex, imaginary part, im greater than 0 branch
10.8b54.8%math.log10 on complex, real part
10.5b55.6%math.log/1 on complex, real part
10.3b58.6%math.log/2 on complex, real part

rewrite6.3s (1.9%)

Algorithm
154×rewrite-expression-head
Calls

443 calls:

225.0ms
(* (sqrt (* PI 2.0)) (* (* (exp (- z (+ 7.0 0.5))) (* (+ (+ (/ 771.3234287776531 (- 3.0 z)) (/ -176.6150291621406 (- 4.0 z))) (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (- 2.0 z))) (+ (/ 12.507343278686905 (- 5.0 z)) (+ (/ -0.13857109526572012 (- 6.0 z)) (+ (+ (/ 9.984369578019572e-06 (- 7.0 z)) (/ 1.5056327351493116e-07 (- 8.0 z))) 0.9999999999998099))))) (pow (+ 7.0 (- 0.5 z)) (- 0.5 z)))) (/ PI (sin (* PI z)))))
207.0ms
(* (exp (- z (+ 7.0 0.5))) (+ 0.9999999999998099 (+ (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ -1259.1392167224028 (- 2.0 z)) (+ (/ 771.3234287776531 (- 3.0 z)) (/ -176.6150291621406 (- 4.0 z))))) (+ (/ 12.507343278686905 (- 5.0 z)) (+ (/ -0.13857109526572012 (- 6.0 z)) (+ (/ 9.984369578019572e-06 (- 7.0 z)) (/ 1.5056327351493116e-07 (- 8.0 z))))))))
150.0ms
(* (+ (+ (/ 771.3234287776531 (- 3.0 z)) (/ -176.6150291621406 (- 4.0 z))) (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (- 2.0 z))) (+ (/ 12.507343278686905 (- 5.0 z)) (+ (/ -0.13857109526572012 (- 6.0 z)) (+ (+ (/ 9.984369578019572e-06 (- 7.0 z)) (/ 1.5056327351493116e-07 (- 8.0 z))) 0.9999999999998099))))) (pow (+ 7.0 (- 0.5 z)) (- 0.5 z)))
114.0ms
(* (+ (/ 771.3234287776531 (- 3.0 z)) (+ (/ -176.6150291621406 (- 4.0 z)) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ -1259.1392167224028 (- 2.0 z)) (+ (/ 12.507343278686905 (- 5.0 z)) (+ (/ -0.13857109526572012 (- 6.0 z)) (+ (/ 9.984369578019572e-06 (- 7.0 z)) (+ (/ 1.5056327351493116e-07 (- 8.0 z)) 0.9999999999998099)))))))) (pow (+ 7.0 (- 0.5 z)) 0.5))
92.0ms
(+ (/ -176.6150291621406 (- 4.0 z)) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ -1259.1392167224028 (- 2.0 z)) (+ (/ 12.507343278686905 (- 5.0 z)) (+ (/ -0.13857109526572012 (- 6.0 z)) (+ (/ 9.984369578019572e-06 (- 7.0 z)) (+ (/ 1.5056327351493116e-07 (- 8.0 z)) 0.9999999999998099)))))))
Rules
5556×*-un-lft-identity
4927×times-frac
4497×add-sqr-sqrt
3382×add-cube-cbrt
2599×frac-add
2220×add-exp-log
1797×add-cbrt-cube
1783×associate-*r/
1567×pow1
1436×flip-+ flip3-+
1392×sqrt-prod
1313×frac-times
1164×associate-*r*
1099×distribute-lft-out
832×associate-*l*
816×associate-*l/
762×prod-exp
660×add-log-exp
597×cbrt-unprod
580×sqrt-div
579×cbrt-prod
493×div-exp
491×unpow-prod-down
485×associate-/r*
440×associate-/l*
401×pow-prod-down
351×cbrt-undiv
333×associate-/r/ log-pow
315×pow-sub
271×unswap-sqr
259×exp-diff
229×div-inv
193×cube-prod
191×sqrt-pow1
189×difference-of-squares
182×cbrt-div
163×distribute-lft-out--
137×*-commutative
118×sqr-pow
114×flip-- flip3--
105×associate-/l/
103×pow1/2
99×sum-log
97×log-prod
87×clear-num frac-2neg
85×pow1/3
80×swap-sqr
71×pow-exp
70×pow-unpow
66×distribute-rgt-in distribute-lft-in
52×rem-sqrt-square
49×pow-to-exp
44×pow-prod-up
42×+-commutative frac-sub
37×unpow2
36×sub-neg
33×pow-sqr
32×diff-log
31×1-exp
30×pow-pow
28×rec-exp exp-prod
22×cube-mult
20×log-div unpow3
19×cube-div associate-+r+
18×div-sub
13×pow-plus
12×pow2 sin-sum
11×associate--l+
rem-log-exp exp-sum associate--r+
cos-sum associate-+r- inv-pow un-div-inv pow-flip rem-cube-cbrt
sub-div sum-cubes exp-lft-sqr rem-exp-log
exp-to-pow sqrt-unprod
associate-+l+ rem-square-sqrt rem-cbrt-cube
unpow-prod-up sqrt-undiv associate--r- associate-+l- distribute-rgt-out--

localize2.5s (0.8%)

bsearch1.1s (0.3%)

end1.0ms (0.0%)

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