Details

Time bar (total: 3.3s)

analyze421.0ms (12.6%)

Algorithm
1×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
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)

sample19.0ms (0.6%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
0.0ms13×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify111.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
014212
114212

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
16.0b
Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.6b
(*.f64 (*.f64 (*.f64 a a) b) b)
10.8b
(*.f64 (*.f64 a a) b)

rewrite20.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
9×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
6×associate-*r*_binary64
5×add-sqr-sqrt_binary64
4×*-un-lft-identity_binary64 add-cube-cbrt_binary64
2×add-log-exp_binary64 associate-*l*_binary64 *-commutative_binary64
1×unswap-sqr_binary64
Counts
2 → 40
Calls

2 calls:

9.0ms
(*.f64 (*.f64 a a) b)
8.0ms
(*.f64 (*.f64 (*.f64 a a) b) b)

series144.0ms (4.3%)

Counts
2 → 12
Calls

2 calls:

73.0ms
(*.f64 (*.f64 a a) b)
71.0ms
(*.f64 (*.f64 (*.f64 a a) b) b)
Compiler

Compiled 192 to 204 computations (-6.3% saved)

simplify50.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05066461

prune46.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New44852
Fresh000
Picked011
Done000
Total44953
Error
0.1b
Counts
53 → 9
Compiler

Compiled 609 to 218 computations (64.2% 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
1×rewrite-expression-head
Rules
8×pow1_binary64
7×add-sqr-sqrt_binary64
5×*-un-lft-identity_binary64 add-cube-cbrt_binary64
3×swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 pow-prod-up_binary64 pow-plus_binary64 unswap-sqr_binary64 prod-exp_binary64 sqr-abs_binary64 pow-sqr_binary64 pow2_binary64 *-commutative_binary64
Counts
1 → 26
Calls

1 calls:

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

series58.0ms (1.7%)

Counts
1 → 6
Calls

1 calls:

57.0ms
(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))
Compiler

Compiled 92 to 104 computations (-13% saved)

simplify82.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04891238
14891238

prune28.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New29332
Fresh257
Picked011
Done011
Total311041
Error
0.1b
Counts
41 → 10
Compiler

Compiled 396 to 196 computations (50.5% saved)

localize10.0ms (0.3%)

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)
10.3b
(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite15.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
9×add-exp-log_binary64 sqrt-prod_binary64
8×unpow-prod-down_binary64
7×associate-*r*_binary64
6×pow1_binary64 associate-*l*_binary64 unswap-sqr_binary64
5×add-cbrt-cube_binary64
4×sqr-pow_binary64
3×pow-unpow_binary64 add-log-exp_binary64 prod-exp_binary64
2×pow-to-exp_binary64 pow1/2_binary64 pow-prod-up_binary64 sqrt-pow1_binary64 pow-exp_binary64
1×cbrt-unprod_binary64 pow-pow_binary64 rem-sqrt-square_binary64 *-commutative_binary64
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)))

series292.0ms (8.8%)

Counts
3 → 18
Calls

3 calls:

197.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
49.0ms
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
46.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))
Compiler

Compiled 432 to 404 computations (6.5% saved)

simplify70.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
054351099

prune80.0ms (2.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New75681
Fresh527
Picked101
Done022
Total811091
Error
0b
Counts
91 → 10
Compiler

Compiled 1435 to 565 computations (60.6% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b)))))
10.3b
(sqrt.f64 (fabs.f64 (*.f64 a b)))
10.3b
(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite32.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
76×sqrt-prod_binary64
60×add-sqr-sqrt_binary64
34×sqrt-pow1_binary64
30×pow1_binary64
20×*-un-lft-identity_binary64 add-cube-cbrt_binary64
18×pow1/2_binary64
15×swap-sqr_binary64
10×rem-sqrt-square_binary64
9×associate-*r*_binary64 pow-prod-up_binary64 associate-*l*_binary64 unswap-sqr_binary64
7×add-exp-log_binary64
6×add-cbrt-cube_binary64
5×pow-prod-down_binary64 pow-sqr_binary64
4×add-log-exp_binary64 sqr-abs_binary64
3×pow-unpow_binary64 unpow-prod-down_binary64
1×pow-to-exp_binary64 cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-pow_binary64 sqr-pow_binary64 pow-plus_binary64 sqrt-unprod_binary64 prod-exp_binary64 pow-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 122
Calls

4 calls:

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

series346.0ms (10.4%)

Counts
4 → 24
Calls

4 calls:

206.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
49.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b)))))
45.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))
45.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))
Compiler

Compiled 956 to 692 computations (27.6% saved)

simplify82.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
054131509

prune122.0ms (3.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1460146
Fresh077
Picked011
Done022
Total14610156
Error
0b
Counts
156 → 10
Compiler

Compiled 3077 to 860 computations (72.1% saved)

regimes321.0ms (9.6%)

Accuracy

Total 0.3b remaining (95.3%)

Threshold costs 0.3b (95.3%)

Compiler

Compiled 3454 to 2331 computations (32.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04812
14812

end0.0ms (0%)

sample946.0ms (28.4%)

Algorithm
1×intervals
Results
233.0ms8000×body128valid
14.0ms505×body128invalid
Compiler

Compiled 567 to 385 computations (32.1% saved)

Profiling

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