Date:Wednesday, September 9th, 2020
Commit:9a6f76b9 on multiprecision
Hostname:warfa with Racket 7.8
Seed:2020253
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

sample2.9min (38.9%)

Algorithm
77×intervals
Results
1.2min6143×body8192exit
39.1s50599×body1024valid
8.8s193760×body128valid
8.7s4618×body1024overflowed
8.0s25263×body512valid
6.0s28547×body128overflowed
4.6s6169×body2048valid
4.4s32418×body256valid
3.4s142070×pre128true
2.5s2436×body512overflowed
630.0ms1267×body256overflowed
628.0ms4205×body2048nan
481.0ms9585×body128nan
257.0ms788×body4096valid
251.0ms2126×body1024nan
104.0ms2902×body128invalid
91.0ms1055×body512nan
34.0ms546×body256nan
27.0msbody8192valid
11.0ms20×body1024invalid
7.0msbody2048overflowed
3.0msbody512invalid
2.0msbody256invalid
2.0ms110×pre128false
1.0msbody4096nan

prune2.3min (30.8%)

Filtered
19134 candidates to 14387 candidates (24.8%)

series58.1s (13.2%)

Calls

445 calls:

1.6s
(/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
1.4s
(sqrt.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (cbrt.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))) (cbrt.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
1.3s
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
1.3s
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
996.0ms
(*.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))) (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))

analyze29.9s (6.8%)

Algorithm
39×search
Search
TrueOtherFalseIter
0%71.2%28.8%0
2.6%68.7%28.8%1
6.7%64.5%28.8%2
15.3%53.4%31.4%3
21.5%44.1%34.4%4
26.5%37.3%36.2%5
28.4%33.3%38.3%6
30.1%30.3%39.5%7
31%28.8%40.3%8
33%25.9%41.1%9
33.4%24.9%41.6%10
34.2%23.8%42%11
35%22.5%42.5%12
36%21.3%42.7%13
36.3%20.8%43%14

simplify27.4s (6.2%)

Algorithm
215×egg-herbie

rewrite11.7s (2.7%)

Algorithm
138×rewrite-expression-head
Calls

445 calls:

798.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (cbrt.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))) (cbrt.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
52.0ms
(/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
52.0ms
(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) 2)))
46.0ms
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
44.0ms
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))
Rules
30266×associate-*l/_binary64
20626×frac-times_binary64
16434×flip--_binary64
16433×flip3--_binary64
15659×cbrt-div_binary64
6836×times-frac_binary64
6158×associate-*r/_binary64
6020×sqrt-div_binary64
5961×frac-add_binary64
5474×add-sqr-sqrt_binary64
5224×*-un-lft-identity_binary64
3800×add-cube-cbrt_binary64
2467×add-exp-log_binary64
1487×add-cbrt-cube_binary64
876×pow1_binary64
853×prod-exp_binary64
726×div-exp_binary64
711×difference-of-squares_binary64
695×add-log-exp_binary64
596×associate-/r*_binary64
569×sqrt-prod_binary64
476×associate-*r*_binary64 pow-exp_binary64
429×associate-*l*_binary64
387×distribute-lft-out--_binary64
357×cbrt-prod_binary64
353×div-inv_binary64
352×cbrt-unprod_binary64
335×cbrt-undiv_binary64
318×associate-/l*_binary64
278×pow-to-exp_binary64
275×distribute-lft-out_binary64
237×unpow-prod-down_binary64
236×log-prod_binary64
196×associate-/r/_binary64
176×flip-+_binary64
175×flip3-+_binary64
148×pow-prod-down_binary64
142×cube-prod_binary64
134×rec-exp_binary64
122×unswap-sqr_binary64
114×sub-neg_binary64
91×clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
88×log-pow_binary64
77×diff-log_binary64
64×pow1/3_binary64
61×log-div_binary64
56×sum-log_binary64
53×exp-prod_binary64
52×sqr-pow_binary64
49×associate-/l/_binary64
48×difference-of-sqr-1_binary64 cosh-undef_binary64
46×+-commutative_binary64
42×swap-sqr_binary64 pow1/2_binary64 sqrt-pow1_binary64
39×pow-unpow_binary64
35×unpow3_binary64
33×div-sub_binary64 associate--l+_binary64
32×rem-sqrt-square_binary64
31×distribute-rgt-in_binary64 distribute-lft-in_binary64
30×cube-mult_binary64
25×associate--r+_binary64
23×rem-log-exp_binary64 sin-mult_binary64 pow-pow_binary64
19×frac-sub_binary64 pow-flip_binary64 pow-prod-up_binary64
17×pow-sqr_binary64
16×sin-diff_binary64 tan-quot_binary64
15×acos-asin_binary64
14×associate--r-_binary64
13×cos-diff_binary64
12×cube-div_binary64
11×pow-plus_binary64 inv-pow_binary64
10×exp-diff_binary64 pow2_binary64
exp-sum_binary64 unpow2_binary64 sin-cos-mult_binary64
associate--l-_binary64 associate-+r+_binary64 sinh-undef_binary64
associate-+r-_binary64 rem-cbrt-cube_binary64 distribute-rgt-out_binary64 distribute-rgt-neg-in_binary64
rem-exp-log_binary64 rem-cube-cbrt_binary64 cos-sum_binary64
associate-+l+_binary64
sin-sum_binary64
distribute-neg-in_binary64 acos-neg_binary64 distribute-lft-neg-in_binary64 asin-acos_binary64 distribute-frac-neg_binary64
distribute-rgt1-in_binary64 associate-+l-_binary64 cos-mult_binary64
sqrt-unprod_binary64 sinh-def_binary64 neg-sub0_binary64 tanh-def-a_binary64 tanh-undef_binary64 neg-mul-1_binary64 exp-to-pow_binary64 neg-log_binary64 rem-square-sqrt_binary64 tanh-def-b_binary64 distribute-rgt-out--_binary64 unsub-neg_binary64 tanh-def-c_binary64 distribute-lft-neg-out_binary64

regimes4.5s (1.0%)

Accuracy

Total 33.5b remaining (27%)

Threshold costs 4.1b (3.3%)

7.5b45.8%Cubic critical, narrow range
6.9b0%Cubic critical, medium range
5.3b51.8%Quotient of products
3.7b0%Cubic critical, wide range
3.6b87.6%Quadratic roots, full range

localize1.9s (0.4%)

bsearch369.0ms (0.1%)

end1.0ms (0.0%)

Profiling

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