Details

Time bar (total: 1.5s)

analyze84.0ms (5.5%)

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
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
25%21.9%53.2%8
25%14%61%9
28.1%10.9%61%10
31.6%7.4%61%11
33.4%5.7%61%12
35.2%3.8%61%13
36.1%2.9%61%14

sample19.0ms (1.3%)

Algorithm
1×intervals
Results
12.0ms256×body80valid

simplify81.0ms (5.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
0482817
1482817

prune9.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 a a) (*.f64 b b))
0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2.0) (*.f64 4.0 (*.f64 b b)))
0.0b
(*.f64 4.0 (*.f64 b b))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2.0)

rewrite26.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
10×pow1_binary64 add-exp-log_binary64
9×add-cbrt-cube_binary64
8×add-log-exp_binary64 add-sqr-sqrt_binary64
7×*-un-lft-identity_binary64 add-cube-cbrt_binary64
3×pow-prod-down_binary64 pow-unpow_binary64 cbrt-unprod_binary64 associate-*l*_binary64 unpow-prod-down_binary64 prod-exp_binary64
2×flip3-+_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
1×pow-to-exp_binary64 associate-*r*_binary64 pow-pow_binary64 sqr-pow_binary64 unswap-sqr_binary64 pow-exp_binary64 *-commutative_binary64
Counts
4 → 58
Calls

4 calls:

8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2.0) (*.f64 4.0 (*.f64 b b)))
6.0ms
(*.f64 4.0 (*.f64 b b))
6.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2.0)
5.0ms
(+.f64 (*.f64 a a) (*.f64 b b))

series58.0ms (3.8%)

Counts
4 → 12
Calls

4 calls:

28.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2.0)
19.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2.0) (*.f64 4.0 (*.f64 b b)))
7.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
4.0ms
(*.f64 4.0 (*.f64 b b))

simplify39.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05424778

prune102.0ms (6.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh000
Picked101
Done000
Total69271

Merged error: 0b

Counts
71 → 2

localize12.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))))
0.0b
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
2.6b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite32.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
49×pow1_binary64
33×add-exp-log_binary64 add-cbrt-cube_binary64
27×pow-prod-down_binary64
21×cbrt-unprod_binary64 prod-exp_binary64
5×add-log-exp_binary64
4×*-un-lft-identity_binary64 pow-prod-up_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 pow-plus_binary64 add-sqr-sqrt_binary64
2×associate-*r*_binary64 pow-sqr_binary64 pow2_binary64 *-commutative_binary64
1×flip3-+_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 67
Calls

3 calls:

13.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
9.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
7.0ms
(+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))))

series31.0ms (2%)

Counts
3 → 9
Calls

3 calls:

12.0ms
(+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))))
10.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
9.0ms
(*.f64 (*.f64 a a) (*.f64 b b))

simplify32.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05479665

prune102.0ms (6.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done000
Total76278

Merged error: 0b

Counts
78 → 2

localize12.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 (pow.f64 b 4) (*.f64 2.0 (*.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 4.0 (*.f64 b b)))
0.0b
(*.f64 2.0 (*.f64 (*.f64 a a) (*.f64 b b)))
0.0b
(*.f64 4.0 (*.f64 b b))
2.6b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite43.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Rules
55×pow1_binary64
39×add-exp-log_binary64 add-cbrt-cube_binary64
30×pow-prod-down_binary64
24×cbrt-unprod_binary64 prod-exp_binary64
9×add-log-exp_binary64
7×associate-*l*_binary64 add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×pow-prod-up_binary64 pow-plus_binary64
3×associate-*r*_binary64 sum-log_binary64 *-commutative_binary64
2×unswap-sqr_binary64 pow-sqr_binary64 pow2_binary64
1×flip3-+_binary64 associate-+l+_binary64 +-commutative_binary64 flip-+_binary64
Counts
4 → 88
Calls

4 calls:

13.0ms
(*.f64 2.0 (*.f64 (*.f64 a a) (*.f64 b b)))
11.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
10.0ms
(+.f64 (+.f64 (pow.f64 b 4) (*.f64 2.0 (*.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 4.0 (*.f64 b b)))
6.0ms
(*.f64 4.0 (*.f64 b b))

series38.0ms (2.4%)

Counts
4 → 12
Calls

4 calls:

14.0ms
(+.f64 (+.f64 (pow.f64 b 4) (*.f64 2.0 (*.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 4.0 (*.f64 b b)))
10.0ms
(*.f64 2.0 (*.f64 (*.f64 a a) (*.f64 b b)))
9.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
4.0ms
(*.f64 4.0 (*.f64 b b))

simplify53.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04940899
14940899

prune129.0ms (8.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh000
Picked011
Done011
Total1002102

Merged error: 0b

Counts
102 → 2

regimes114.0ms (7.5%)

Accuracy

Total 0.0b remaining (44.4%)

Threshold costs 0.0b (44.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04446
14446

end0.0ms (0%)

sample504.0ms (32.9%)

Algorithm
1×intervals
Results
366.0ms8000×body80valid
0.0ms2×body80invalid

Profiling

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