Details

Time bar (total: 2.6s)

analyze310.0ms (12%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034848
134848
033
133
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
25%74.9%0.1%6
25%74.9%0.1%7
25%62.4%12.6%8
37.4%43.7%18.9%9
37.4%43.7%18.9%10
49.9%31.2%18.9%11
56.2%20.3%23.5%12
56.2%20.3%23.5%13
61.6%14.8%23.5%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample16.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify12.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
014212
114212

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 16.1b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.4b
(*.f64 (*.f64 (*.f64 a a) b) b)
11.1b
(*.f64 (*.f64 a a) b)

rewrite18.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube_binary64_114 add-exp-log_binary64_116 pow1_binary64_139
cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
associate-*r*_binary64_18
add-sqr-sqrt_binary64_100
add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
*-commutative_binary64_9 associate-*l*_binary64_19 add-log-exp_binary64_117
unswap-sqr_binary64_46
Counts
2 → 40
Calls

2 calls:

7.0ms
(*.f64 (*.f64 (*.f64 a a) b) b)
6.0ms
(*.f64 (*.f64 a a) b)

series40.0ms (1.5%)

Counts
2 → 6
Calls

2 calls:

24.0ms
(*.f64 (*.f64 (*.f64 a a) b) b)
16.0ms
(*.f64 (*.f64 a a) b)

simplify48.0ms (1.9%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05066410

prune41.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New38846
Fresh000
Picked011
Done000
Total38947

Merged error: 0.1b

Counts
47 → 9
Compiler

Compiled 571 to 216 computations (62.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64_139
add-sqr-sqrt_binary64_100
add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
add-cbrt-cube_binary64_114 associate-*l*_binary64_19 swap-sqr_binary64_45 associate-*r*_binary64_18 add-exp-log_binary64_116
pow2_binary64_159 *-commutative_binary64_9 sqr-abs_binary64_93 add-log-exp_binary64_117 pow-sqr_binary64_51 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-up_binary64_148 pow-prod-down_binary64_149 unswap-sqr_binary64_46 pow-plus_binary64_141
Counts
1 → 26
Calls

1 calls:

4.0ms
(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

series22.0ms (0.8%)

Counts
1 → 3
Calls

1 calls:

22.0ms
(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

simplify74.0ms (2.9%)

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05054209

prune30.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New27229
Fresh077
Picked011
Done101
Total281038

Merged error: 0.0b

Counts
38 → 10
Compiler

Compiled 404 to 189 computations (53.2% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
0.3b
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
10.2b
(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite15.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64_100
10×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
sqrt-prod_binary64_94 add-exp-log_binary64_116
unpow-prod-down_binary64_157
associate-*r*_binary64_18
associate-*l*_binary64_19 unswap-sqr_binary64_46 pow1_binary64_139
add-cbrt-cube_binary64_114
sqr-pow_binary64_50
add-log-exp_binary64_117 prod-exp_binary64_127 pow-unpow_binary64_155
pow-exp_binary64_146 pow-to-exp_binary64_147 sqrt-pow1_binary64_96 pow-prod-up_binary64_148 pow1/2_binary64_158
*-commutative_binary64_9 cbrt-unprod_binary64_111 rem-sqrt-square_binary64_91 pow-pow_binary64_150
Counts
3 → 63
Calls

3 calls:

7.0ms
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
2.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
1.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))

series78.0ms (3%)

Counts
3 → 9
Calls

3 calls:

44.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
17.0ms
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
17.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))

simplify66.0ms (2.6%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
048791001
148791001

prune80.0ms (3.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New64872
Fresh448
Picked101
Done011
Total691382

Merged error: 0.0b

Counts
82 → 13
Compiler

Compiled 1402 to 561 computations (60% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b)))) (*.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2) (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))))))
0.3b
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
10.2b
(sqrt.f64 (fabs.f64 (*.f64 a b)))
10.2b
(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite22.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
15×sqrt-prod_binary64_94 add-exp-log_binary64_116
14×sqrt-pow1_binary64_96
13×add-sqr-sqrt_binary64_100 pow1_binary64_139
11×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
add-cbrt-cube_binary64_114 associate-*l*_binary64_19
pow-prod-up_binary64_148
prod-exp_binary64_127
pow1/2_binary64_158
add-log-exp_binary64_117
cbrt-unprod_binary64_111 unpow-prod-down_binary64_157 pow-unpow_binary64_155
pow-exp_binary64_146 pow-to-exp_binary64_147 rem-sqrt-square_binary64_91
*-commutative_binary64_9 sqr-pow_binary64_50 associate-*r*_binary64_18 pow-pow_binary64_150 pow-prod-down_binary64_149
Counts
4 → 72
Calls

4 calls:

11.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b)))) (*.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2) (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))))))
2.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
1.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))
1.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))

series106.0ms (4.1%)

Counts
4 → 12
Calls

4 calls:

54.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
20.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b)))) (*.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2) (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))))))
15.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))
15.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))

simplify97.0ms (3.8%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04876908
14876908

prune71.0ms (2.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh01111
Picked011
Done011
Total831497

Merged error: 0b

Counts
97 → 14
Compiler

Compiled 1716 to 519 computations (69.8% saved)

regimes353.0ms (13.7%)

Compiler

Compiled 3916 to 2581 computations (34.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0159
1159

end0.0ms (0%)

sample1.0s (40.3%)

Algorithm
intervals
Results
225.0ms8000×body128valid
18.0ms530×body128invalid
Compiler

Compiled 647 to 431 computations (33.4% saved)

Profiling

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