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

sample32.9s (37.3%)

Algorithm
26×intervals
Results
14.2s6640×body8192exit
6.3s16900×body1024valid
3.2s79451×body128valid
1.9s4974×body1024nan
1.6s6959×body512valid
791.0ms24768×pre128true
700.0ms837×body2048valid
505.0ms3181×body256valid
487.0ms2503×body512nan
171.0ms2022×body128invalid
153.0ms1278×body256nan
76.0ms207×body1024invalid
57.0ms236×body512invalid
46.0ms728×body128nan
31.0ms170×body256invalid
10.0ms152×body128overflowed
4.0msbody8192nan
3.0msbody4096nan
2.0msbody2048nan

series24.7s (28.0%)

Calls

119 calls:

2.0s
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) x)
1.4s
(exp.f64 (+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) x))
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 (+.f64 (*.f64 (sin.f64 y) (cos.f64 z)) (*.f64 (sin.f64 z) (cos.f64 y))) (*.f64 (cos.f64 y) (cos.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 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))

analyze21.6s (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

simplify4.5s (5.1%)

Algorithm
71×egg-herbie

prune2.4s (2.7%)

Filtered
2893 candidates to 1969 candidates (31.9%)

rewrite1.1s (1.2%)

Algorithm
45×rewrite-expression-head
Calls

119 calls:

23.0ms
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 z)) (*.f64 (sin.f64 z) (cos.f64 y))) (*.f64 (cos.f64 y) (cos.f64 z))) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
21.0ms
(exp.f64 (+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) x))
19.0ms
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) x)
19.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
15.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
Rules
656×add-sqr-sqrt_binary64
536×add-exp-log_binary64
523×*-un-lft-identity_binary64
463×add-cube-cbrt_binary64
368×add-cbrt-cube_binary64
346×pow1_binary64
262×associate-*r*_binary64
260×times-frac_binary64
227×prod-exp_binary64
211×associate-*l*_binary64
164×add-log-exp_binary64
141×cbrt-unprod_binary64
117×pow-prod-down_binary64 cbrt-prod_binary64
115×sqrt-prod_binary64
97×unpow-prod-down_binary64
76×unswap-sqr_binary64
59×associate-/l*_binary64
57×*-commutative_binary64
51×associate-/r*_binary64
46×div-exp_binary64
44×pow-exp_binary64
37×associate-/r/_binary64
34×pow-to-exp_binary64
32×cbrt-undiv_binary64 sin-mult_binary64
28×pow-unpow_binary64
27×cos-mult_binary64 exp-prod_binary64
26×log-pow_binary64
25×div-inv_binary64 sqr-pow_binary64
24×distribute-lft-out--_binary64
21×flip3--_binary64 difference-of-squares_binary64 flip--_binary64 tan-quot_binary64
18×frac-sub_binary64
17×clear-num_binary64 frac-2neg_binary64
15×diff-log_binary64 log-prod_binary64 sqrt-pow1_binary64
14×sub-neg_binary64 pow1/3_binary64
13×sub-div_binary64
swap-sqr_binary64 distribute-lft-out_binary64 associate-*r/_binary64 sum-log_binary64
pow1/2_binary64
flip3-+_binary64 associate-/l/_binary64 associate--l+_binary64 flip-+_binary64
exp-sum_binary64 unpow2_binary64 rem-exp-log_binary64
pow-pow_binary64 +-commutative_binary64
rem-log-exp_binary64 div-sub_binary64 sin-cos-mult_binary64 rem-sqrt-square_binary64 pow-sqr_binary64 pow-prod-up_binary64 frac-times_binary64 associate-*l/_binary64
associate-+l-_binary64 associate-+r-_binary64 frac-add_binary64 cos-2_binary64 associate-+r+_binary64 exp-diff_binary64 tan-sum_binary64 pow-plus_binary64 cos-sum_binary64 pow2_binary64 sqrt-div_binary64
exp-to-pow_binary64 associate-+l+_binary64

regimes603.0ms (0.7%)

Accuracy

Total 3.5b remaining (5.4%)

Threshold costs 2.3b (3.5%)

1.3b0%mixedcos
0.3b0%rsin B
0.3b0%rsin A
0.3b0%sqrt C
0.3b0%sqrt D

localize454.0ms (0.5%)

bsearch20.0ms (0.0%)

end0.0ms (0.0%)

Profiling

Loading profile data...