Date:Tuesday, August 18th, 2020
Commit:fbcf5934 on scaleup-plugins
Hostname:warfa with Racket 7.5
Seed:2020231
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

sample29.1s (34.0%)

Algorithm
24×intervals
Results
8.7s6403×body5120exit
6.7s14035×body1280valid
2.8s9223×body640valid
2.8s62206×body80valid
1.5s3696×body1280nan
882.0ms4063×body320valid
879.0ms3231×body640nan
845.0ms24768×pre80true
287.0ms1588×body320nan
276.0ms1801×body160valid
188.0ms1983×body80invalid
89.0ms256×body640invalid
68.0ms602×body160nan
66.0ms131×body1280invalid
50.0ms190×body320invalid
36.0ms521×body80nan
24.0ms117×body160invalid
9.0ms151×body80overflowed
3.0msbody2560nan
2.0msbody5120nan

analyze22.0s (25.7%)

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

series11.8s (13.8%)

Calls

117 calls:

580.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (cos.f64 y)))) (tan.f64 a))
580.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a))
579.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
577.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
573.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (cos.f64 y)))) (tan.f64 a)))

prune10.3s (12.1%)

Filtered
2986 candidates to 1997 candidates (33.1%)

simplify7.3s (8.5%)

Algorithm
66×egg-herbie

regimes3.5s (4.1%)

Accuracy

Total 2.4b remaining (3.6%)

Threshold costs 2.4b (3.6%)

0.4b0%sqrt C
0.4b0%sqrt D
0.4b0%sqrt E
0.3b0%mixedcos
0.3b0%rsin A

rewrite898.0ms (1.0%)

Algorithm
42×rewrite-expression-head
Calls

117 calls:

23.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (cos.f64 y)))) (tan.f64 a))
19.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (cos.f64 y)))) (tan.f64 a)))
19.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a)))
19.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
19.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a))
Rules
518×add-sqr-sqrt_binary64
445×add-exp-log_binary64
400×pow1_binary64
384×*-un-lft-identity_binary64
354×add-cube-cbrt_binary64
292×add-cbrt-cube_binary64
217×associate-*r*_binary64
198×sqrt-pow1_binary64
190×prod-exp_binary64
166×sqrt-prod_binary64
159×associate-*l*_binary64
155×pow-prod-down_binary64
154×times-frac_binary64
129×add-sqr-sqrt_binary64_1201
126×add-log-exp_binary64
114×unpow-prod-down_binary64
104×*-un-lft-identity_binary64_1216
98×cbrt-unprod_binary64
86×sqrt-pow1_binary64_555
79×add-cube-cbrt_binary64_1187
75×pow1_binary64_520 unswap-sqr_binary64
71×add-exp-log_binary64_1180
70×times-frac_binary64_1211
65×add-cbrt-cube_binary64_1188
60×pow-exp_binary64
56×associate-*r*_binary64_1275
53×div-exp_binary64
52×cbrt-prod_binary64
46×log-pow_binary64
42×exp-prod_binary64 pow-unpow_binary64
41×*-commutative_binary64
40×pow-to-exp_binary64 pow1_binary64_1162
37×associate-/l*_binary64
34×associate-/r*_binary64 cbrt-undiv_binary64 sqrt-div_binary64_554 sqrt-prod_binary64_553
33×pow1/2_binary64
32×sqr-pow_binary64
30×associate-*l*_binary64_1276
27×add-sqr-sqrt_binary64_559
26×pow-prod-down_binary64_501
24×pow-prod-up_binary64
23×pow1/2_binary64_510
22×associate-/r/_binary64_1281 associate-*r/_binary64_635
21×prod-exp_binary64_1167 div-inv_binary64
20×associate-/r/_binary64
18×swap-sqr_binary64 cbrt-unprod_binary64_1185
17×associate-/r*_binary64_1279 tan-quot_binary64
16×add-log-exp_binary64_1181 pow-sqr_binary64
15×log-prod_binary64
14×*-un-lft-identity_binary64_574 pow-prod-up_binary64_500 add-cube-cbrt_binary64_545
13×sin-mult_binary64_1087 clear-num_binary64 cos-mult_binary64 frac-2neg_binary64 sin-mult_binary64 associate-/l*_binary64_1280
12×pow-prod-down_binary64_1143 unswap-sqr_binary64_1244 distribute-lft-out--_binary64_1261 cos-mult_binary64_1086 difference-of-squares_binary64_1245
10×div-exp_binary64_1169 flip-+_binary64_599 unpow2_binary64 pow1/3_binary64 frac-sub_binary64 flip3-+_binary64_572 cbrt-undiv_binary64_1186 *-commutative_binary64_1284
swap-sqr_binary64_601 flip3--_binary64 distribute-lft-out_binary64 sum-log_binary64 flip--_binary64 associate-*l/_binary64
sub-neg_binary64 diff-log_binary64 distribute-lft-out--_binary64 pow-sqr_binary64_607 pow-pow_binary64
flip3--_binary64_1215 associate-*l*_binary64_634 add-cbrt-cube_binary64_546 difference-of-squares_binary64 add-exp-log_binary64_538 associate-*r*_binary64_633 div-inv_binary64_1217 flip--_binary64_1242
associate-*r/_binary64
flip3-+_binary64 clear-num_binary64_1219 associate-*r/_binary64_1277 add-log-exp_binary64_539 frac-sub_binary64_1207 frac-2neg_binary64_1209 sub-div_binary64_1205 +-commutative_binary64 sub-div_binary64 flip-+_binary64
associate-+r-_binary64 unswap-sqr_binary64_602 associate-+r+_binary64 frac-times_binary64_566 rem-sqrt-square_binary64 pow2_binary64
associate-/l/_binary64 rec-exp_binary64_1168 neg-sub0_binary64 rem-log-exp_binary64 cos-2_binary64 exp-diff_binary64 div-sub_binary64 pow-plus_binary64 exp-neg_binary64
un-div-inv_binary64_1218 tan-sum_binary64 associate-*l/_binary64_636 associate-/l/_binary64_1282
pow-plus_binary64_515 rem-sqrt-square_binary64_562 sqrt-unprod_binary64 rem-square-sqrt_binary64_561 frac-add_binary64 pow-flip_binary64_1146 div-sub_binary64_1210 pow2_binary64_511 prod-exp_binary64_525 *-commutative_binary64_642 inv-pow_binary64_1138 cbrt-unprod_binary64_543 sqrt-unprod_binary64_557 cos-sum_binary64_1066 rem-square-sqrt_binary64 cos-sum_binary64 frac-times_binary64

localize679.0ms (0.8%)

end0.0ms (0.0%)

bsearch0.0ms (0.0%)

Profiling

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