Details

Time bar (total: 1.8s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample16.0ms (0.9%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify147.0ms (8.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0104
1104

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 6 to 6 computations (0% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x 1/3)

rewrite5.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_4852 add-sqr-sqrt_binary64_4874
cancel-sign-sub-inv_binary64_4818 add-log-exp_binary64_4891
add-cube-cbrt_binary64_4887
difference-of-squares_binary64_4821 distribute-lft-out--_binary64_4804 add-exp-log_binary64_4890 flip3--_binary64_4856 add-cbrt-cube_binary64_4888 sub-neg_binary64_4845 pow1_binary64_4913 flip--_binary64_4827 diff-log_binary64_4944
Counts
1 → 16
Calls

1 calls:

4.0ms
(-.f64 x 1/3)

series13.0ms (0.7%)

Counts
1 → 3
Calls

1 calls:

13.0ms
(-.f64 x 1/3)

simplify149.0ms (8.4%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (141.0ms)

IterNodesCost
04802121
14802121

prune24.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New17219
Fresh000
Picked011
Done000
Total17320
Error
0b
Counts
20 → 3
Compiler

Compiled 131 to 102 computations (22.1% saved)

localize17.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x 1/3)
0.0b
(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
0.2b
(*.f64 x (+.f64 x 1/3))
19.8b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))

rewrite59.0ms (3.3%)

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt_binary64_4874
31×*-un-lft-identity_binary64_4852
24×times-frac_binary64_4858
19×add-cube-cbrt_binary64_4887
16×difference-of-squares_binary64_4821
add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 associate-/l*_binary64_4797 add-log-exp_binary64_4891
pow1_binary64_4913
cube-prod_binary64_4880 distribute-lft-out--_binary64_4804 flip-+_binary64_4826 associate-*r*_binary64_4792 unpow-prod-down_binary64_4931 flip3-+_binary64_4855 sqr-pow_binary64_4824
associate-*l*_binary64_4793 associate-/r*_binary64_4796
+-commutative_binary64_4782 associate-*r/_binary64_4794 associate-/l/_binary64_4799 distribute-lft-out_binary64_4803 distribute-lft-in_binary64_4801 associate-+r+_binary64_4784 distribute-rgt-in_binary64_4802 associate-/r/_binary64_4798 sum-log_binary64_4943
flip3--_binary64_4856 unswap-sqr_binary64_4820 cbrt-unprod_binary64_4885 div-sub_binary64_4857 div-inv_binary64_4849 clear-num_binary64_4851 prod-exp_binary64_4901 flip--_binary64_4827 cbrt-undiv_binary64_4886 pow-prod-down_binary64_4923 frac-2neg_binary64_4863 div-exp_binary64_4903 *-commutative_binary64_4783
Counts
4 → 100
Calls

4 calls:

22.0ms
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
13.0ms
(*.f64 x (+.f64 x 1/3))
6.0ms
(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
5.0ms
(+.f64 x 1/3)

series172.0ms (9.6%)

Counts
4 → 12
Calls

4 calls:

116.0ms
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
26.0ms
(*.f64 x (+.f64 x 1/3))
20.0ms
(+.f64 x 1/3)
10.0ms
(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))

simplify97.0ms (5.4%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
056042256

prune164.0ms (9.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh011
Picked011
Done011
Total1123115
Error
0b
Counts
115 → 3
Compiler

Compiled 2314 to 1821 computations (21.3% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(exp.f64 (-.f64 x 1/3))
0.0b
(-.f64 x 1/3)
1.2b
(log.f64 (exp.f64 (-.f64 x 1/3)))

rewrite29.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity_binary64_4852 add-sqr-sqrt_binary64_4874
10×exp-prod_binary64_4904
add-cube-cbrt_binary64_4887 cancel-sign-sub-inv_binary64_4818
exp-sum_binary64_4898 add-log-exp_binary64_4891
log-prod_binary64_4938
log-pow_binary64_4941
pow1_binary64_4913
difference-of-squares_binary64_4821 distribute-lft-out--_binary64_4804 add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 sub-neg_binary64_4845
rem-exp-log_binary64_4892 exp-diff_binary64_4900 diff-log_binary64_4944
flip3--_binary64_4856 flip--_binary64_4827 rem-log-exp_binary64_4893 log-div_binary64_4939
Counts
3 → 57
Calls

3 calls:

9.0ms
(exp.f64 (-.f64 x 1/3))
7.0ms
(-.f64 x 1/3)
7.0ms
(log.f64 (exp.f64 (-.f64 x 1/3)))

series151.0ms (8.4%)

Counts
3 → 9
Calls

3 calls:

131.0ms
(log.f64 (exp.f64 (-.f64 x 1/3)))
12.0ms
(-.f64 x 1/3)
7.0ms
(exp.f64 (-.f64 x 1/3))

simplify114.0ms (6.4%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
04873439
14873439

prune75.0ms (4.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh000
Picked011
Done022
Total66369
Error
0b
Counts
69 → 3
Compiler

Compiled 494 to 391 computations (20.9% saved)

regimes27.0ms (1.5%)

Accuracy

Total 0.0b remaining (75.5%)

Threshold costs 0.0b (75.5%)

Compiler

Compiled 64 to 60 computations (6.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1164

end0.0ms (0%)

sample511.0ms (28.6%)

Algorithm
intervals
Results
232.0ms8000×body128valid
Compiler

Compiled 35 to 34 computations (2.9% saved)

Profiling

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