Date:Thursday, July 23rd, 2020
Commit:c653a889 on reprify
Hostname:warfa with Racket 7.5
Seed:2020205
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

sample1.2min (58.9%)

Algorithm
56×intervals
Results
26.9s69919×body1280valid
18.7s17333×body2560valid
9.5s44054×body640valid
3.0s21422×body320valid
2.8s67679×body80valid
1.3s1116×body1280nan
941.0ms10271×body160valid
709.0ms967×body640nan
673.0ms43027×pre80true
519.0ms3048×body80overflowed
274.0ms641×body1280overflowed
200.0ms490×body5120valid
192.0ms442×body320nan
173.0ms246×body640invalid
172.0ms3560×body80nan
121.0ms184×body2560overflowed
120.0ms94×body1280invalid
114.0ms399×body640overflowed
100.0ms1733×body80invalid
88.0ms208×body320invalid
66.0ms245×body160nan
38.0ms181×body320overflowed
17.0ms69×body160invalid
11.0ms84×body160overflowed
1.0msbody2560invalid

prune14.8s (12.2%)

Filtered
11159 candidates to 7203 candidates (35.5%)

analyze9.9s (8.2%)

Algorithm
28×search
Search
TrueOtherFalseIter
0%90.9%9.1%0
14.3%76.7%9.1%1
21.4%67.8%10.9%2
33.2%51.7%15.1%3
37.6%44.1%18.2%4
43.8%36.2%19.9%5
46.6%32.5%20.9%6
48.1%29.6%22.3%7
49.9%27.4%22.7%8
51.1%25.4%23.5%9
51.5%24.3%24.2%10
52.4%22.9%24.7%11
53.2%21.5%25.2%12
53.5%20.9%25.6%13
53.9%20.1%26%14

simplify9.5s (7.9%)

Algorithm
165×egg-herbie

series6.5s (5.4%)

Calls

351 calls:

941.0ms
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1.0)) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) 1.0) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 b 3))) (*.f64 b (+.f64 eps (*.f64 b (*.f64 1/2 (*.f64 eps eps))))))))
473.0ms
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
120.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
119.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
95.0ms
(-.f64 (pow.f64 (+.f64 x 1.0) (/.f64 1.0 n)) (pow.f64 (pow.f64 x (/.f64 1 (*.f64 (cbrt.f64 n) (cbrt.f64 n)))) (/.f64 1.0 (cbrt.f64 n))))

rewrite3.9s (3.2%)

Algorithm
109×rewrite-expression-head
Calls

351 calls:

137.0ms
(/.f64 (-.f64 (/.f64 1.0 (/.f64 x 1.0)) (/.f64 1.0 (/.f64 (+.f64 1.0 x) 1.0))) (+.f64 (/.f64 1.0 (sqrt.f64 x)) (/.f64 1.0 (sqrt.f64 (+.f64 1.0 x)))))
103.0ms
(*.f64 (/.f64 (/.f64 1.0 x) (sqrt.f64 (+.f64 1.0 x))) (/.f64 (neg.f64 1.0) (sqrt.f64 (+.f64 1.0 x))))
90.0ms
(-.f64 (/.f64 1.0 (/.f64 x 1.0)) (/.f64 1.0 (/.f64 (+.f64 1.0 x) 1.0)))
54.0ms
(/.f64 (/.f64 (-.f64 (*.f64 1.0 (/.f64 (+.f64 1.0 x) 1.0)) (/.f64 x 1)) (*.f64 (/.f64 x 1.0) (/.f64 (+.f64 1.0 x) 1.0))) (+.f64 (/.f64 1.0 (sqrt.f64 x)) (/.f64 1.0 (sqrt.f64 (+.f64 1.0 x)))))
46.0ms
(/.f64 (/.f64 1.0 (*.f64 (/.f64 x 1.0) (/.f64 (+.f64 1.0 x) 1.0))) (+.f64 (/.f64 1.0 (sqrt.f64 x)) (/.f64 1.0 (sqrt.f64 (+.f64 1.0 x)))))
Rules
6942×*-un-lft-identity_binary64
6328×times-frac_binary64
4860×add-sqr-sqrt_binary64
2939×add-cube-cbrt_binary64
1934×sqrt-prod_binary64
1533×distribute-lft-out_binary64
1267×add-exp-log_binary64
1087×add-cbrt-cube_binary64
765×distribute-lft-out--_binary64
762×pow1_binary64
683×difference-of-squares_binary64
609×add-log-exp_binary64
491×div-inv_binary64
427×associate-/l*_binary64
425×associate-*r*_binary64
374×cbrt-prod_binary64
358×associate-*l*_binary64
340×prod-exp_binary64
337×associate-/r*_binary64
325×unpow-prod-down_binary64
307×associate-/r/_binary64
292×flip3--_binary64 flip--_binary64
274×log-prod_binary64
260×div-exp_binary64
259×cbrt-unprod_binary64
258×associate-*r/_binary64
241×cbrt-div_binary64
235×cube-prod_binary64
220×cbrt-undiv_binary64
208×frac-times_binary64
178×flip3-+_binary64 flip-+_binary64
152×sqrt-div_binary64
139×pow-prod-down_binary64
137×unswap-sqr_binary64
126×associate-*l/_binary64
125×sqr-pow_binary64
113×frac-add_binary64
110×swap-sqr_binary64
93×distribute-rgt-neg-in_binary64
91×sub-neg_binary64
89×diff-log_binary64
87×log-pow_binary64
80×associate-/l/_binary64
76×sqrt-pow1_binary64
75×clear-num_binary64 frac-2neg_binary64
66×distribute-lft-neg-in_binary64
64×distribute-rgt-out--_binary64
63×*-commutative_binary64
62×pow1/2_binary64 tan-quot_binary64
58×exp-prod_binary64
57×pow1/3_binary64
49×distribute-rgt-in_binary64 distribute-lft-in_binary64
44×sum-log_binary64 pow-unpow_binary64
41×pow-prod-up_binary64
36×neg-sub0_binary64 neg-mul-1_binary64
32×exp-diff_binary64 log-div_binary64
30×frac-sub_binary64 rem-sqrt-square_binary64
29×div-sub_binary64
28×exp-neg_binary64 +-commutative_binary64
27×pow-exp_binary64
25×pow-to-exp_binary64 pow-sqr_binary64
24×rem-log-exp_binary64
18×pow-plus_binary64 associate--l+_binary64
17×pow-pow_binary64
15×rec-exp_binary64 1-exp_binary64
14×unpow3_binary64 cube-mult_binary64
11×associate--r+_binary64 associate-+r+_binary64 pow2_binary64
10×sum-cubes_binary64
sin-sum_binary64
distribute-frac-neg_binary64
associate--l-_binary64 sin-mult_binary64
difference-cubes_binary64 exp-sum_binary64 neg-log_binary64
sqrt-unprod_binary64 associate-+l-_binary64 unpow2_binary64 associate-+l+_binary64 rem-exp-log_binary64 rem-square-sqrt_binary64
distribute-rgt-neg-out_binary64 rem-cube-cbrt_binary64 un-div-inv_binary64
rem-cbrt-cube_binary64 pow-flip_binary64 cube-div_binary64 tan-sum_binary64 inv-pow_binary64 sin-cos-mult_binary64 cos-sum_binary64
sqrt-pow2_binary64 associate-+r-_binary64 pow3_binary64 cos-mult_binary64 exp-to-pow_binary64 diff-sin_binary64 diff-atan_binary64 diff-cos_binary64

regimes3.2s (2.7%)

Accuracy

Total 19.3b remaining (22.5%)

Threshold costs 6.7b (7.8%)

4.7b83.5%quadp (p42, positive)
3.4b0%expq3 (problem 3.4.2)
1.7b84.2%2nthrt (problem 3.4.6)
1.5b93.8%quad2m (problem 3.2.1, negative)
1.2b94.9%quadm (p42, negative)

localize1.2s (1.0%)

bsearch700.0ms (0.6%)

end0.0ms (0.0%)

Profiling

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