Date:Wednesday, September 16th, 2020
Commit:eff2405d on multiprecision
Hostname:warfa with Racket 7.8
Seed:2020260
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

sample32.7s (36.9%)

Algorithm
26×intervals
Results
13.9s6411×body8192exit
6.2s16861×body1024valid
3.1s79501×body128valid
1.7s7040×body512valid
1.6s4880×body1024nan
1.0s24768×pre128true
650.0ms792×body2048valid
491.0ms3134×body256valid
485.0ms2461×body512nan
316.0ms2035×body128invalid
152.0ms1230×body256nan
95.0ms240×body1024invalid
59.0ms240×body512invalid
47.0ms739×body128nan
24.0ms144×body256invalid
11.0msbody4096nan
10.0ms144×body128overflowed
3.0msbody2048nan

series23.6s (26.7%)

Calls

138 calls:

1.2s
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (log.f64 (exp.f64 (*.f64 (tan.f64 y) (tan.f64 z)))))) (tan.f64 a))
1.1s
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
1.1s
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))) (tan.f64 a))
1.0s
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
1.0s
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))) (tan.f64 a)))

analyze21.7s (24.5%)

Algorithm
13×search
Search
TrueOtherFalseIter
0%76.9%23.1%0
0%76.9%23.1%1
0%76.9%23.1%2
25%51.9%23.1%3
34.6%42.3%23.1%4
39.9%37%23.1%5
42.3%33.9%23.8%6
45.6%30.4%24%7
47.2%28.4%24.4%8
49%26.5%24.5%9
50.8%24.3%24.9%10
51.4%23.5%25.1%11
52.1%22.5%25.4%12
52.8%21.6%25.6%13
53%21%25.9%14

simplify4.8s (5.4%)

Algorithm
72×egg-herbie

prune3.0s (3.3%)

Filtered
3569 candidates to 2343 candidates (34.4%)

rewrite1.3s (1.5%)

Algorithm
46×rewrite-expression-head
Calls

138 calls:

29.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))))
24.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))) (tan.f64 a))
22.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))) (tan.f64 a)))
21.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (log.f64 (exp.f64 (*.f64 (tan.f64 y) (tan.f64 z)))))) (tan.f64 a))
21.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))) 3))
Rules
888×add-sqr-sqrt_binary64
629×*-un-lft-identity_binary64
608×pow1_binary64
551×add-cube-cbrt_binary64
550×add-exp-log_binary64
382×add-cbrt-cube_binary64
371×sqrt-prod_binary64
299×sqrt-pow1_binary64
289×times-frac_binary64
261×associate-*r*_binary64
248×unpow-prod-down_binary64
235×associate-*l*_binary64
225×pow-prod-down_binary64 prod-exp_binary64
198×cbrt-prod_binary64
176×add-log-exp_binary64
140×unswap-sqr_binary64
124×cbrt-unprod_binary64
71×pow1/2_binary64
70×sqrt-div_binary64
64×sqr-pow_binary64
62×associate-/l*_binary64
59×associate-/r*_binary64
57×associate-*r/_binary64
51×swap-sqr_binary64 *-commutative_binary64
50×div-exp_binary64
44×log-prod_binary64
40×pow-exp_binary64
39×pow-to-exp_binary64 pow-prod-up_binary64
38×associate-/r/_binary64
36×cbrt-undiv_binary64 exp-prod_binary64
32×distribute-lft-out--_binary64
31×cube-prod_binary64
30×sin-mult_binary64
29×log-pow_binary64
28×difference-of-squares_binary64 div-inv_binary64
26×flip3-+_binary64 flip-+_binary64
25×pow-sqr_binary64
24×exp-sum_binary64 cos-mult_binary64
22×flip3--_binary64 flip--_binary64
20×pow-pow_binary64
19×clear-num_binary64 pow1/3_binary64 frac-2neg_binary64
18×pow-unpow_binary64
17×tan-quot_binary64
16×frac-sub_binary64
15×sub-neg_binary64
14×diff-log_binary64
12×associate--l+_binary64
10×distribute-lft-out_binary64 exp-diff_binary64 sub-div_binary64 frac-times_binary64
associate-/l/_binary64 log-div_binary64 associate-*l/_binary64
sum-log_binary64
unpow2_binary64 rem-exp-log_binary64 rem-sqrt-square_binary64 pow2_binary64
rem-log-exp_binary64 unpow3_binary64 unpow-prod-up_binary64 cube-mult_binary64 pow-plus_binary64
sqrt-unprod_binary64 rec-exp_binary64 associate-+r-_binary64 associate-+r+_binary64 cube-div_binary64 div-sub_binary64 rem-cube-cbrt_binary64 +-commutative_binary64
sqrt-pow2_binary64 exp-to-pow_binary64 cos-2_binary64 tan-sum_binary64 cbrt-div_binary64 rem-square-sqrt_binary64 cos-sum_binary64 un-div-inv_binary64
rem-cbrt-cube_binary64 neg-sub0_binary64 frac-add_binary64 pow-flip_binary64 inv-pow_binary64 pow-sub_binary64 exp-neg_binary64

regimes849.0ms (1.0%)

Accuracy

Total 4.4b remaining (6.7%)

Threshold costs 3.1b (4.8%)

1.2b0%mixedcos
0.5b0%sqrt A
0.5b89.2%exp-w crasher
0.4b0%sqrt C
0.4b0%sqrt D

localize538.0ms (0.6%)

bsearch53.0ms (0.1%)

end0.0ms (0.0%)

Profiling

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