Details

Time bar (total: 2.0s)

analyze303.0ms (15.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.8%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms21×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify181.0ms (9.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
027410
127410

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 39 to 34 computations (12.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x (+.f64 y z)) z)
0.0b
(*.f64 x (+.f64 y z))

rewrite16.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_4917 *-un-lft-identity_binary64_4895
add-cube-cbrt_binary64_4930
add-log-exp_binary64_4934 pow1_binary64_4956 associate-*r*_binary64_4835 add-cbrt-cube_binary64_4931 add-exp-log_binary64_4933
associate-*l*_binary64_4836 cancel-sign-sub-inv_binary64_4861
distribute-lft-in_binary64_4844 associate-*r/_binary64_4837 distribute-rgt-in_binary64_4845 associate--l+_binary64_4832
flip3--_binary64_4899 cbrt-unprod_binary64_4928 sub-neg_binary64_4888 flip--_binary64_4870 diff-log_binary64_4987 distribute-lft-out_binary64_4846 unswap-sqr_binary64_4863 flip-+_binary64_4869 flip3-+_binary64_4898 prod-exp_binary64_4944 pow-prod-down_binary64_4966 *-commutative_binary64_4826
Counts
2 → 39
Calls

2 calls:

7.0ms
(-.f64 (*.f64 x (+.f64 y z)) z)
7.0ms
(*.f64 x (+.f64 y z))

series103.0ms (5.3%)

Counts
2 → 6
Calls

2 calls:

52.0ms
(*.f64 x (+.f64 y z))
50.0ms
(-.f64 (*.f64 x (+.f64 y z)) z)

simplify95.0ms (4.9%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04878479
14878479

prune27.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New44145
Fresh011
Picked011
Done000
Total44347

Merged error: 0b

Counts
47 → 3
Compiler

Compiled 567 to 156 computations (72.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
0.0b
(*.f64 (-.f64 x 1) z)

rewrite15.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_4917
associate-*l*_binary64_4836 *-un-lft-identity_binary64_4895
add-log-exp_binary64_4934 add-cube-cbrt_binary64_4930 pow1_binary64_4956 add-cbrt-cube_binary64_4931 add-exp-log_binary64_4933
associate-*r*_binary64_4835
associate-*l/_binary64_4838 difference-of-squares_binary64_4864
flip3--_binary64_4899 distribute-lft-out--_binary64_4847 cbrt-unprod_binary64_4928 flip--_binary64_4870 +-commutative_binary64_4825 unswap-sqr_binary64_4863 flip-+_binary64_4869 difference-of-sqr-1_binary64_4865 flip3-+_binary64_4898 prod-exp_binary64_4944 pow-prod-down_binary64_4966 sum-log_binary64_4986 *-commutative_binary64_4826
Counts
2 → 35
Calls

2 calls:

8.0ms
(*.f64 (-.f64 x 1) z)
5.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))

series89.0ms (4.6%)

Counts
2 → 6
Calls

2 calls:

51.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
38.0ms
(*.f64 (-.f64 x 1) z)

simplify58.0ms (3%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04973473
14973473

prune30.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done011
Total41344

Merged error: 0b

Counts
44 → 3
Compiler

Compiled 612 to 292 computations (52.3% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 x (+.f64 y z))
0.2b
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))))
3.7b
(sqrt.f64 (*.f64 x (+.f64 y z)))
3.7b
(sqrt.f64 (*.f64 x (+.f64 y z)))

rewrite43.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
61×pow1_binary64_4956
32×sqrt-pow1_binary64_4913
23×pow-prod-down_binary64_4966
20×associate-*r/_binary64_4837
16×sqrt-div_binary64_4912
14×add-sqr-sqrt_binary64_4917
12×pow1/2_binary64_4975 *-un-lft-identity_binary64_4895
10×add-cube-cbrt_binary64_4930 pow-prod-up_binary64_4965
flip-+_binary64_4869 flip3-+_binary64_4898
associate-*r*_binary64_4835 add-cbrt-cube_binary64_4931 add-exp-log_binary64_4933
associate-*l*_binary64_4836
pow-sqr_binary64_4868 sqrt-prod_binary64_4911
add-log-exp_binary64_4934 swap-sqr_binary64_4862 frac-times_binary64_4905
associate-*l/_binary64_4838 cbrt-unprod_binary64_4928 unswap-sqr_binary64_4863 prod-exp_binary64_4944 *-commutative_binary64_4826
distribute-lft-in_binary64_4844 distribute-rgt-in_binary64_4845 distribute-lft-out_binary64_4846 pow2_binary64_4976 sqrt-unprod_binary64_4915 rem-square-sqrt_binary64_4907 pow-plus_binary64_4958
Counts
4 → 106
Calls

4 calls:

15.0ms
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))))
7.0ms
(sqrt.f64 (*.f64 x (+.f64 y z)))
7.0ms
(*.f64 x (+.f64 y z))
5.0ms
(sqrt.f64 (*.f64 x (+.f64 y z)))

series246.0ms (12.6%)

Counts
4 → 12
Calls

4 calls:

75.0ms
(sqrt.f64 (*.f64 x (+.f64 y z)))
73.0ms
(sqrt.f64 (*.f64 x (+.f64 y z)))
52.0ms
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))))
47.0ms
(*.f64 x (+.f64 y z))

simplify71.0ms (3.7%)

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
048871276
148871276

prune80.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1180118
Fresh000
Picked011
Done022
Total1183121

Merged error: 0b

Counts
121 → 3
Compiler

Compiled 2015 to 508 computations (74.8% saved)

regimes40.0ms (2.1%)

Compiler

Compiled 148 to 122 computations (17.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample511.0ms (26.2%)

Algorithm
intervals
Results
237.0ms8000×body128valid
20.0ms695×body128invalid
Compiler

Compiled 48 to 40 computations (16.7% saved)

Profiling

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