Date:Sunday, October 18th, 2020
Commit:9e50c850 on simplicity-rules-best
Hostname:warfa with Racket 7.8
Seed:2020292
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

Time bar (total: 1.6min)

sample35.3s (37.1%)

Algorithm
26×intervals
Results
14.1s6470×body8192exit
6.4s16973×body1024valid
3.4s79431×body128valid
1.7s4991×body1024nan
1.6s6964×body512valid
845.0ms24768×pre128true
696.0ms850×body2048valid
507.0ms2543×body512nan
474.0ms3110×body256valid
165.0ms1955×body128invalid
159.0ms1279×body256nan
75.0ms205×body1024invalid
63.0ms255×body512invalid
51.0ms764×body128nan
24.0ms144×body256invalid
10.0ms133×body128overflowed
8.0msbody4096nan
3.0msbody2048nan
1.0msbody2048invalid
Compiler

Compiled 2580 to 1853 computations (28.2% saved)

analyze21.6s (22.7%)

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
Compiler

Compiled 163 to 136 computations (16.6% saved)

series20.6s (21.7%)

Calls

129 calls:

1.4s
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 a) (sin.f64 z)) (cos.f64 z)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 y) (sin.f64 z))) (*.f64 (cos.f64 y) (cos.f64 z))) (/.f64 (*.f64 (cos.f64 a) (sin.f64 y)) (cos.f64 y)))) (sin.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (cos.f64 a)))
1.3s
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a))) (*.f64 (-.f64 1 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3))) (cos.f64 a)))
1.3s
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a))) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (cos.f64 a)))
708.0ms
(-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a)))
504.0ms
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

prune8.3s (8.7%)

Compiler

Compiled 159698 to 79550 computations (50.2% saved)

simplify6.6s (7%)

Algorithm
72×egg-herbie

rewrite1.2s (1.3%)

Algorithm
46×rewrite-expression-head
Rules
697×times-frac_binary64_429
527×add-sqr-sqrt_binary64_445
487×*-un-lft-identity_binary64_423
467×add-cube-cbrt_binary64_458
326×pow1_binary64_140
306×add-exp-log_binary64_461
255×sqrt-pow1_binary64_97
202×add-cbrt-cube_binary64_459
151×pow-prod-down_binary64_150
142×add-sqr-sqrt_binary64
139×add-sqr-sqrt_binary64_789
134×*-un-lft-identity_binary64_767
132×*-un-lft-identity_binary64
128×add-sqr-sqrt_binary64_101
126×add-exp-log_binary64
120×prod-exp_binary64_472
117×sqrt-prod_binary64_95
109×add-cbrt-cube_binary64
106×pow1_binary64_484
104×add-cube-cbrt_binary64_802
97×associate-/l*_binary64_368
95×associate-*r*_binary64_363
92×pow1_binary64
91×add-cube-cbrt_binary64
76×add-exp-log_binary64_117
72×add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
69×sqrt-prod_binary64
64×associate-/r*_binary64_367
63×associate-*l*_binary64_364 div-exp_binary64_474
61×add-cbrt-cube_binary64_115 associate-*r*_binary64
60×associate-*r*_binary64_19
58×add-log-exp_binary64_462
56×associate-*l*_binary64
54×cbrt-unprod_binary64_456
52×times-frac_binary64_773 pow1/2_binary64_159
49×associate-*l*_binary64_20
48×prod-exp_binary64 cbrt-prod_binary64_798 associate-*l/_binary64
46×cbrt-unprod_binary64 div-inv_binary64_420
42×add-exp-log_binary64_805
40×pow1_binary64_828 add-cbrt-cube_binary64_803 tan-quot_binary64
39×add-log-exp_binary64 cbrt-undiv_binary64_457
38×unpow-prod-down_binary64
37×pow-prod-down_binary64
35×pow-prod-up_binary64_149
34×sqrt-div_binary64_96
33×add-log-exp_binary64_806
30×pow-prod-down_binary64_494 cbrt-unprod_binary64_112 prod-exp_binary64_128
25×associate-/r/_binary64_369 add-log-exp_binary64_118
24×distribute-lft-out_binary64 sqrt-prod_binary64_783 cbrt-prod_binary64
23×unswap-sqr_binary64
22×associate-*r/_binary64_21 unswap-sqr_binary64_47
21×pow-sqr_binary64_52 cbrt-prod_binary64_110
20×frac-sub_binary64 distribute-rgt-out_binary64 *-commutative_binary64_354
19×associate-/l/_binary64 unswap-sqr_binary64_391
18×pow-to-exp_binary64_492 swap-sqr_binary64_46 pow-exp_binary64_491 clear-num_binary64_422 frac-2neg_binary64_434 cbrt-div_binary64_799
17×flip3--_binary64 flip--_binary64
16×unpow-prod-down_binary64_846 distribute-lft-out--_binary64_719
15×*-commutative_binary64
14×associate-/l*_binary64 cos-mult_binary64_577 associate-/r*_binary64_711 times-frac_binary64 difference-of-squares_binary64_736 associate-/l*_binary64_712 cancel-sign-sub-inv_binary64_389
13×flip3--_binary64_427 flip--_binary64_398
12×exp-prod_binary64_819 *-commutative_binary64_10 cbrt-undiv_binary64 sin-mult_binary64_578 log-prod_binary64_853 pow-unpow_binary64_844 div-exp_binary64 sqr-pow_binary64
11×pow1/3_binary64_849 exp-diff_binary64_815
10×distribute-lft-out--_binary64_375 log-pow_binary64_856 flip-+_binary64_53 unpow2_binary64 neg-sub0_binary64_762 exp-neg_binary64_814 difference-of-squares_binary64_392 unpow-prod-down_binary64_158 sqrt-div_binary64_784 flip3-+_binary64_82
flip3-+_binary64 flip-+_binary64
distribute-lft-out--_binary64 associate-*r/_binary64
associate-*r*_binary64_707 associate-/r/_binary64 exp-sum_binary64_813 cancel-sign-sub-inv_binary64 unpow-prod-down_binary64_502
sub-neg_binary64_416 sqr-pow_binary64_739 frac-add_binary64 diff-log_binary64_515 cancel-sign-sub-inv_binary64_733 cube-div_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64_92 frac-times_binary64 associate--l+_binary64_704
pow-to-exp_binary64_836 pow-exp_binary64_835 frac-sub_binary64_432 sub-div_binary64_430
1-exp_binary64_467 associate-/r*_binary64 associate-/l/_binary64_370 frac-2neg_binary64_778 distribute-rgt1-in_binary64 cbrt-undiv_binary64_801 pow1/2_binary64 clear-num_binary64 div-exp_binary64_818 frac-times_binary64_89 associate-+r+_binary64 distribute-lft1-in_binary64 rec-exp_binary64_473 associate-*r/_binary64_365 frac-2neg_binary64 div-inv_binary64 clear-num_binary64_766 pow-pow_binary64_839 div-inv_binary64_764
unswap-sqr_binary64_735 sub-neg_binary64 associate-*l*_binary64_708 pow-unpow_binary64_156 diff-log_binary64 difference-of-squares_binary64 unpow2_binary64_488 prod-exp_binary64_816 flip--_binary64_742 pow-exp_binary64 sum-log_binary64 pow-unpow_binary64 div-sub_binary64 cbrt-div_binary64 swap-sqr_binary64_390 sqr-pow_binary64_395 flip3--_binary64_771
count-2_binary64 rem-sqrt-square_binary64_780 cos-sum_binary64_557 diff-log_binary64_859 pow-to-exp_binary64 rem-square-sqrt_binary64_91 associate-/r/_binary64_713 associate-*l/_binary64_710 associate-/l/_binary64_714 rem-exp-log_binary64_807 sqrt-unprod_binary64_99 sub-neg_binary64_760 unpow3_binary64 div-sub_binary64_428 cube-mult_binary64 pow-pow_binary64_151 associate-*l/_binary64_22 pow2_binary64_160 tan-sum_binary64 sqr-abs_binary64_94 cos-2_binary64_565 rem-log-exp_binary64_808 rem-cube-cbrt_binary64 pow1/2_binary64_847 sin-mult_binary64 sqrt-pow1_binary64_785 pow-pow_binary64 +-commutative_binary64 pow-plus_binary64_142 cube-prod_binary64 sqrt-div_binary64
sqrt-unprod_binary64 pow-exp_binary64_147 cbrt-unprod_binary64_800 associate-+r-_binary64 rem-cbrt-cube_binary64 sqr-pow_binary64_51 div-sub_binary64_772 cos-mult_binary64 pow1/3_binary64 pow-sqr_binary64_396 sqr-abs_binary64_438 inv-pow_binary64_508 *-commutative_binary64_698 pow-plus_binary64_486 pow-to-exp_binary64_148 pow-flip_binary64_497 rem-sqrt-square_binary64 pow1/3_binary64_161 pow2_binary64_504 pow-prod-up_binary64_493
Calls

129 calls:

34.0ms
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 a) (sin.f64 z)) (cos.f64 z)) (+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 y) (sin.f64 z))) (*.f64 (cos.f64 y) (cos.f64 z))) (/.f64 (*.f64 (cos.f64 a) (sin.f64 y)) (cos.f64 y)))) (sin.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (cos.f64 a)))
21.0ms
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a))) (*.f64 (-.f64 1 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3))) (cos.f64 a)))
20.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
18.0ms
(/.f64 (/.f64 1 (/.f64 (fabs.f64 (*.f64 s (*.f64 c x))) (cos.f64 (*.f64 x 2)))) (fabs.f64 (*.f64 s (*.f64 c x))))
18.0ms
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a))) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (cos.f64 a)))

regimes928.0ms (1%)

Compiler

Compiled 8879 to 5746 computations (35.3% saved)

localize482.0ms (0.5%)

bsearch30.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

end0.0ms (0%)

Profiling

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