Date:Thursday, February 11th, 2021
Commit:1950a15a on mpmf-cost-herbie-only
Hostname:warfa with Racket 7.9
Seed:2021042
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: 25.8s)

sample8.7s (33.6%)

Algorithm
18×intervals
Results
3.1s70095×body128valid
826.0ms4209×body2048valid
109.0ms1329×body128nan
107.0ms1990×body128invalid
Compiler

Compiled 4319 to 3097 computations (28.3% saved)

series6.2s (23.9%)

Calls

57 calls:

236.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (*.f64 x z) (/.f64 1 y)))
227.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
226.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
203.0ms
(cbrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
168.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
Compiler

Compiled 35542 to 27005 computations (24% saved)

simplify3.4s (13.2%)

Algorithm
42×egg-herbie

prune3.2s (12.3%)

Compiler

Compiled 65537 to 35012 computations (46.6% saved)

analyze1.8s (7.1%)

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)

regimes1.6s (6.1%)

Accuracy

Total 3.2b remaining (21.7%)

Threshold costs 1.8b (12.3%)

1.4b90%jeff quadratic root 1
0.9b93.4%jeff quadratic root 2
0.6b0%fabs fraction 1
0.3b0%sqrt times
0.0b0%subtraction fraction

Compiler

Compiled 13976 to 10085 computations (27.8% saved)

rewrite578.0ms (2.2%)

Algorithm
24×rewrite-expression-head
Rules
722×*-un-lft-identity_binary64
598×add-sqr-sqrt_binary64
524×times-frac_binary64
265×add-cube-cbrt_binary64
165×*-un-lft-identity_binary64_71
163×sqrt-prod_binary64
152×times-frac_binary64_77
141×add-sqr-sqrt_binary64_93
126×difference-of-squares_binary64
121×add-cube-cbrt_binary64_106
109×distribute-lft-out--_binary64
89×distribute-lft-out_binary64
71×pow1_binary64 add-exp-log_binary64
70×add-exp-log_binary64_109
66×associate-/r*_binary64
63×add-cbrt-cube_binary64
61×cbrt-prod_binary64
58×add-log-exp_binary64
54×add-cbrt-cube_binary64_107
53×associate-/r/_binary64
52×unpow-prod-down_binary64 cube-prod_binary64
45×add-log-exp_binary64_110
40×sqrt-div_binary64
39×pow1_binary64_132 div-inv_binary64
35×flip3--_binary64 flip--_binary64
32×cancel-sign-sub-inv_binary64
31×swap-sqr_binary64 difference-of-sqr-1_binary64
29×associate-*r*_binary64_11
28×associate-/l*_binary64
27×associate-*l*_binary64
24×associate-/r*_binary64_15 sqrt-pow1_binary64
23×associate-*r*_binary64 pow1/2_binary64
22×flip3-+_binary64 flip-+_binary64
21×distribute-lft-out_binary64_22
19×sqrt-prod_binary64_87
17×associate-*l*_binary64_12 div-exp_binary64
16×prod-exp_binary64_120
15×div-exp_binary64_122 distribute-rgt-out--_binary64
14×rem-sqrt-square_binary64
13×flip--_binary64_46 flip3--_binary64_75
12×sqrt-div_binary64_88 cbrt-undiv_binary64
11×div-inv_binary64_68
10×associate-/l*_binary64_16 flip-+_binary64_45 cbrt-unprod_binary64_104 flip3-+_binary64_74
cbrt-undiv_binary64_105 associate-/r/_binary64_17
diff-log_binary64 clear-num_binary64 unswap-sqr_binary64 frac-2neg_binary64 cancel-sign-sub-inv_binary64_37
pow-prod-down_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64_163 rem-sqrt-square_binary64_84 associate-*r/_binary64_13 sqrt-pow1_binary64_89 pow1/2_binary64_151 sub-neg_binary64_64
+-commutative_binary64_1 pow-prod-down_binary64_142 pow-prod-up_binary64 sum-log_binary64_162
sub-div_binary64_78 frac-sub_binary64_80 neg-sub0_binary64 associate-*r/_binary64 sum-log_binary64 rec-exp_binary64_121 neg-log_binary64 associate-/l/_binary64_18 unswap-sqr_binary64_39 1-exp_binary64_115 frac-times_binary64 associate-*l/_binary64
prod-exp_binary64 rec-exp_binary64 1-exp_binary64 clear-num_binary64_70 *-commutative_binary64_2 pow-unpow_binary64 associate-*l/_binary64_14 cbrt-div_binary64 cbrt-unprod_binary64 un-div-inv_binary64_69 pow-sqr_binary64 frac-2neg_binary64_82
sqrt-unprod_binary64 associate-+l-_binary64 associate--l-_binary64 difference-of-squares_binary64_40 pow1/3_binary64 frac-sub_binary64 pow-exp_binary64 unpow3_binary64 cube-mult_binary64 pow-flip_binary64 cube-div_binary64 inv-pow_binary64 rem-cube-cbrt_binary64 +-commutative_binary64 sub-div_binary64 sqr-pow_binary64 *-commutative_binary64
pow-to-exp_binary64 inv-pow_binary64_156 distribute-lft-out--_binary64_23 rem-cbrt-cube_binary64 div-sub_binary64_76 distribute-rgt-neg-in_binary64 div-sub_binary64 pow-plus_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 pow-pow_binary64 distribute-rgt-out--_binary64_25 pow2_binary64 pow-flip_binary64_145
Calls

114 calls:

31.0ms
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 x) 1)) (sqrt.f64 (-.f64 (/.f64 1 x) 1)))
29.0ms
(/.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)))
13.0ms
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
13.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

localize308.0ms (1.2%)

Compiler

Compiled 6120 to 10200 computations (-66.7% saved)

bsearch78.0ms (0.3%)

Compiler

Compiled 39 to 29 computations (25.6% saved)

end0.0ms (0%)

Profiling

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