Date:Saturday, February 13th, 2021
Commit:c86199b5 on mpmf-cost-baseline2
Hostname:warfa with Racket 7.9
Seed:2021044
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:fallback
default

Details

Time bar (total: 33.5s)

sample9.7s (28.8%)

Algorithm
18×intervals
Results
3.1s70079×body128valid
774.0ms4225×body2048valid
126.0ms2065×body128invalid
116.0ms1343×body128nan
Compiler

Compiled 4922 to 3584 computations (27.2% saved)

series9.3s (27.7%)

Calls

66 calls:

406.0ms
(+.f64 b (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))))
360.0ms
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
346.0ms
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
341.0ms
(cbrt.f64 (*.f64 (/.f64 x y) z))
338.0ms
(cbrt.f64 (*.f64 (/.f64 x y) z))
Compiler

Compiled 46939 to 34988 computations (25.5% saved)

prune3.7s (11%)

Compiler

Compiled 82050 to 38454 computations (53.1% saved)

simplify3.6s (10.7%)

Algorithm
51×egg-herbie

regimes3.4s (10.2%)

Accuracy

Total 2.7b remaining (20.1%)

Threshold costs 0.4b (3.1%)

1.2b92.2%jeff quadratic root 2
1.1b92.7%jeff quadratic root 1
0.3b0%sqrt times
0.1b93.6%fabs fraction 1
0.0b0%subtraction fraction

Compiler

Compiled 17283 to 14017 computations (18.9% saved)

analyze1.7s (4.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
11.1%88.8%0.1%1
11.1%83.3%5.6%2
19.4%69.4%11.2%3
31.9%51.3%16.8%4
35.4%45.1%19.5%5
45.1%34%20.9%6
50.7%26.4%23%7
53.3%23.4%23.3%8
57.6%18.3%24.1%9
59.6%15.1%25.4%10
61.3%12.9%25.8%11
63.2%10%26.8%12
64.2%8.2%27.6%13
64.9%6.9%28.2%14
Compiler

Compiled 144 to 110 computations (23.6% saved)

bsearch1.2s (3.6%)

Compiler

Compiled 1284 to 921 computations (28.3% saved)

rewrite681.0ms (2%)

Algorithm
24×rewrite-expression-head
Rules
800×*-un-lft-identity_binary64
572×times-frac_binary64
518×add-sqr-sqrt_binary64
283×add-cube-cbrt_binary64
160×cbrt-prod_binary64
138×add-exp-log_binary64_457
130×distribute-lft-out_binary64
110×distribute-lft-out--_binary64
89×add-cbrt-cube_binary64_455
85×difference-of-squares_binary64
81×*-un-lft-identity_binary64_78
78×add-sqr-sqrt_binary64_441
77×add-sqr-sqrt_binary64_100
76×associate-/r*_binary64 add-exp-log_binary64
75×cbrt-unprod_binary64_452 prod-exp_binary64_468
74×pow1_binary64_480
70×*-un-lft-identity_binary64_419
62×add-cube-cbrt_binary64_454 add-cbrt-cube_binary64
59×associate-/r/_binary64 add-cube-cbrt_binary64_113
54×associate-*l*_binary64_360
53×associate-*r*_binary64
52×add-log-exp_binary64 times-frac_binary64_425
51×swap-sqr_binary64
50×pow1_binary64
42×associate-*l*_binary64
41×pow-prod-down_binary64_490
40×add-log-exp_binary64_117
36×associate-/l*_binary64
33×sqrt-prod_binary64
32×pow1_binary64_139
30×flip3-+_binary64 cbrt-prod_binary64_450 div-inv_binary64 flip-+_binary64
28×sqrt-prod_binary64_94
25×add-exp-log_binary64_116
24×add-cbrt-cube_binary64_114 times-frac_binary64_84 exp-prod_binary64_130
23×cancel-sign-sub-inv_binary64
21×flip3--_binary64 flip--_binary64
20×div-exp_binary64
18×sqrt-div_binary64_95 cancel-sign-sub-inv_binary64_44
17×add-log-exp_binary64_458
16×unswap-sqr_binary64
15×flip--_binary64_53 associate-*r*_binary64_359 div-exp_binary64_470 cbrt-undiv_binary64_453 flip3--_binary64_82 distribute-rgt-out--_binary64
14×cbrt-undiv_binary64 sqrt-div_binary64
13×associate-*l/_binary64_362
11×difference-of-squares_binary64_47
10×associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64
rem-sqrt-square_binary64_91 sqrt-pow1_binary64_96 pow1/2_binary64_158
pow1/2_binary64 unswap-sqr_binary64_387 sum-log_binary64 sqrt-pow1_binary64 distribute-lft-out_binary64_29
pow1/3_binary64_501 prod-exp_binary64
pow-prod-down_binary64 flip-+_binary64_52 pow1/3_binary64 *-commutative_binary64_350 pow-unpow_binary64_155 rem-sqrt-square_binary64 cbrt-prod_binary64_109 +-commutative_binary64 sub-neg_binary64_71 flip3-+_binary64_81
diff-log_binary64_170 div-inv_binary64_416 cbrt-unprod_binary64
cbrt-div_binary64_110 sub-neg_binary64 unpow-prod-up_binary64_156 diff-log_binary64 associate-/r/_binary64_24 rec-exp_binary64 exp-sum_binary64_124 1-exp_binary64 distribute-lft-out_binary64_370 associate-/l*_binary64_23 cbrt-div_binary64 difference-of-sqr-1_binary64_48 associate-/l*_binary64_364
+-commutative_binary64_8 cbrt-div_binary64_451 unpow-prod-down_binary64_157 rem-exp-log_binary64_118 associate-/r*_binary64_363 associate-/r*_binary64_22 sum-log_binary64_169 associate-*l/_binary64 *-commutative_binary64
associate-/l/_binary64_25 associate-*r/_binary64 frac-add_binary64 frac-sub_binary64 associate-/l/_binary64_366 pow-flip_binary64 pow-exp_binary64_146 inv-pow_binary64 pow-sqr_binary64 pow1/3_binary64_160 sub-div_binary64 pow-prod-up_binary64 div-inv_binary64_75
pow-sub_binary64_154 clear-num_binary64_418 sqrt-unprod_binary64 sub-neg_binary64_412 pow-to-exp_binary64_147 flip3--_binary64_423 flip3-+_binary64_422 div-exp_binary64_129 frac-2neg_binary64_430 sqr-pow_binary64_50 flip--_binary64_394 frac-2neg_binary64_89 clear-num_binary64_77 difference-of-sqr-1_binary64 frac-sub_binary64_428 pow-pow_binary64_150 cancel-sign-sub-inv_binary64_385 associate-+r+_binary64 exp-diff_binary64_126 div-sub_binary64 pow-plus_binary64 cbrt-undiv_binary64_112 flip-+_binary64_393 distribute-lft-out--_binary64_30 diff-log_binary64_511 un-div-inv_binary64 sub-div_binary64_426 frac-times_binary64 pow2_binary64 e-exp-1_binary64_123
Calls

132 calls:

38.0ms
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
28.0ms
(*.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))))
27.0ms
(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
25.0ms
(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
19.0ms
(-.f64 (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) b)

localize332.0ms (1%)

Compiler

Compiled 6120 to 10200 computations (-66.7% saved)

end0.0ms (0%)

Profiling

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