Date:Sunday, January 24th, 2021
Commit:6f935a8d on symmetry
Hostname:warfa with Racket 7.9
Seed:2021024
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: 38.1s)

sample11.7s (30.8%)

Algorithm
18×intervals
Results
3.1s70171×body128valid
783.0ms4133×body2048valid
117.0ms1410×body128nan
115.0ms2000×body128invalid
Compiler

Compiled 7508 to 5222 computations (30.4% saved)

series8.6s (22.6%)

Counts
66 → 800
Calls

42 calls:

1.2s
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
710.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
679.0ms
(cbrt.f64 (/.f64 (neg.f64 b) a))
665.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
353.0ms
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
Compiler

Compiled 58996 to 39822 computations (32.5% saved)

analyze4.3s (11.2%)

Algorithm
search
18×egg-herbie
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)

simplify3.6s (9.4%)

Algorithm
44×egg-herbie
Counts
2871 → 2871

prune3.4s (9%)

Counts
2995 → 156
Compiler

Compiled 78280 to 37356 computations (52.3% saved)

rewrite3.4s (8.8%)

Algorithm
26×rewrite-expression-head
Rules
1305×times-frac_binary64
1059×*-un-lft-identity_binary64
845×add-sqr-sqrt_binary64
616×add-cube-cbrt_binary64
133×distribute-lft-out_binary64
127×add-exp-log_binary64_457
120×add-exp-log_binary64
116×cbrt-prod_binary64
101×difference-of-squares_binary64
100×associate-/r/_binary64
97×distribute-lft-out--_binary64
80×add-cbrt-cube_binary64 add-cbrt-cube_binary64_455
79×*-un-lft-identity_binary64_419
76×add-sqr-sqrt_binary64_441 associate-/l*_binary64
68×distribute-rgt-neg-in_binary64
66×add-sqr-sqrt_binary64_100
64×associate-/r*_binary64
63×add-cube-cbrt_binary64_454
60×div-inv_binary64
58×cbrt-unprod_binary64_452 prod-exp_binary64_468 add-log-exp_binary64 pow1_binary64
55×times-frac_binary64_425 distribute-lft-neg-in_binary64
52×*-un-lft-identity_binary64_78
51×div-exp_binary64
44×add-cube-cbrt_binary64_113
43×sqrt-prod_binary64
39×add-log-exp_binary64_117
38×flip--_binary64 flip3--_binary64
37×pow1_binary64_480
35×associate-*l*_binary64_360
34×flip-+_binary64 flip3-+_binary64
29×pow1_binary64_139
28×distribute-rgt-out_binary64
27×add-exp-log_binary64_116 sqrt-prod_binary64_94 add-cbrt-cube_binary64_114
26×associate-*l*_binary64
25×div-exp_binary64_470 cbrt-undiv_binary64_453
24×associate-*r*_binary64_359
22×associate-*r*_binary64 log-prod_binary64
21×cbrt-undiv_binary64 neg-mul-1_binary64
19×cancel-sign-sub-inv_binary64
18×cbrt-prod_binary64_450 add-log-exp_binary64_458
16×sqrt-div_binary64 sqrt-div_binary64_95
15×flip3--_binary64_82 flip--_binary64_53 times-frac_binary64_84
14×pow-prod-down_binary64_490 cancel-sign-sub-inv_binary64_44
12×rec-exp_binary64 1-exp_binary64
10×difference-of-squares_binary64_47
associate-/r*_binary64_22 sqrt-pow1_binary64 diff-log_binary64 pow1/2_binary64
associate-/l*_binary64_364 pow1/2_binary64_158 unswap-sqr_binary64 frac-2neg_binary64 unpow-prod-down_binary64 distribute-lft-out_binary64_370 sub-neg_binary64_71 rem-sqrt-square_binary64_91 sqrt-pow1_binary64_96 clear-num_binary64 cube-prod_binary64
rem-sqrt-square_binary64 log-pow_binary64 associate-*l/_binary64_362 sub-neg_binary64 prod-exp_binary64 neg-sub0_binary64 associate-/l/_binary64 diff-log_binary64_170 exp-prod_binary64_130 cbrt-unprod_binary64
associate-/r*_binary64_363 unswap-sqr_binary64_387 pow-unpow_binary64_155 div-inv_binary64_416 associate-*r/_binary64_361
pow1/3_binary64_501 pow-prod-down_binary64 *-commutative_binary64_350 sum-log_binary64 neg-log_binary64
distribute-lft1-in_binary64 div-exp_binary64_129 distribute-rgt1-in_binary64 exp-sum_binary64_124 difference-of-sqr-1_binary64 div-sub_binary64 associate--l-_binary64 associate-/l/_binary64_366 associate-/l*_binary64_23 unpow-prod-up_binary64_156 log-div_binary64 pow1/3_binary64
cbrt-div_binary64 distribute-neg-in_binary64 associate-*r/_binary64 associate--l+_binary64 cbrt-undiv_binary64_112 pow-unpow_binary64 inv-pow_binary64 *-commutative_binary64 pow-flip_binary64 associate-*l/_binary64 unpow-prod-down_binary64_157 distribute-lft-out--_binary64_30 rem-exp-log_binary64_118
+-commutative_binary64 clear-num_binary64_77 diff-log_binary64_511 sub-div_binary64_426 div-inv_binary64_75 flip3--_binary64_423 difference-of-sqr-1_binary64_48 flip--_binary64_394 frac-sub_binary64_428 flip-+_binary64_393 cancel-sign-sub-inv_binary64_385 e-exp-1_binary64_123 frac-times_binary64 frac-2neg_binary64_89 flip3-+_binary64_422 unpow3_binary64 pow-exp_binary64_146 rem-log-exp_binary64 distribute-lft-in_binary64 sqr-pow_binary64 distribute-rgt-in_binary64 cube-mult_binary64 frac-add_binary64 count-2_binary64 associate-/r/_binary64_24 sub-neg_binary64_412 clear-num_binary64_418 frac-2neg_binary64_430 associate-+l-_binary64
cbrt-unprod_binary64_111 pow-to-exp_binary64 rem-cube-cbrt_binary64 unsub-neg_binary64 pow-pow_binary64_150 sqrt-unprod_binary64 pow-sub_binary64_154 associate-+r-_binary64 distribute-frac-neg_binary64 flip-+_binary64_52 exp-to-pow_binary64_140 pow-pow_binary64 pow-exp_binary64 frac-times_binary64_429 exp-diff_binary64_126 +-commutative_binary64_8 pow-to-exp_binary64_147 sqr-pow_binary64_50 rem-cbrt-cube_binary64 distribute-neg-out_binary64 sum-log_binary64_169 associate-+r+_binary64 prod-exp_binary64_127 flip3-+_binary64_81
Counts
66 → 2062
Calls

42 calls:

42.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
26.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
23.0ms
(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 f n)))
21.0ms
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
21.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
Compiler

Compiled 63288 to 30813 computations (51.3% saved)

regimes2.7s (7.1%)

Compiler

Compiled 26242 to 18368 computations (30% saved)

localize335.0ms (0.9%)

Compiler

Compiled 6120 to 10200 computations (-66.7% saved)

bsearch16.0ms (0%)

Compiler

Compiled 76 to 52 computations (31.6% saved)

end0.0ms (0%)

Profiling

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