Details

Time bar (total: 1.1s)

analyze2.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1

sample17.0ms (1.5%)

Algorithm
1×intervals
Results
6.0ms256×pre80true
4.0ms256×body80valid

simplify6.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0697
1697

prune8.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 a b) (+.f64 a b))

rewrite10.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
19×*-un-lft-identity_binary64
8×pow1_binary64
7×add-sqr-sqrt_binary64
6×flip3-+_binary64 swap-sqr_binary64 distribute-lft-out_binary64 flip-+_binary64
5×add-cube-cbrt_binary64
4×associate-*r*_binary64 associate-*l*_binary64 frac-times_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64
2×associate-*r/_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 pow-prod-up_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 pow-plus_binary64 unswap-sqr_binary64 prod-exp_binary64 pow-sqr_binary64 pow2_binary64 *-commutative_binary64
Counts
1 → 40
Calls

1 calls:

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

series4.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

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

simplify32.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05592356

prune47.0ms (4.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New41243
Fresh000
Picked101
Done000
Total42244

Merged error: 0b

Counts
44 → 2

localize5.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 b (+.f64 a b))
0.0b
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
0.0b
(*.f64 a (+.f64 a b))

rewrite23.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
12×associate-*r/_binary64
11×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
8×associate-*r*_binary64
7×flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
6×associate-*l*_binary64
5×add-log-exp_binary64
4×frac-add_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
2×pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 associate-+l+_binary64 unswap-sqr_binary64 prod-exp_binary64 associate-+r+_binary64 *-commutative_binary64
1×distribute-rgt-out_binary64 +-commutative_binary64 sum-log_binary64
Counts
3 → 66
Calls

3 calls:

8.0ms
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
6.0ms
(*.f64 a (+.f64 a b))
6.0ms
(*.f64 b (+.f64 a b))

series18.0ms (1.5%)

Counts
3 → 9
Calls

3 calls:

7.0ms
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
5.0ms
(*.f64 a (+.f64 a b))
5.0ms
(*.f64 b (+.f64 a b))

simplify50.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04841616
14841616

prune67.0ms (5.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New75075
Fresh011
Picked011
Done000
Total75277

Merged error: 0b

Counts
77 → 2

localize15.0ms (1.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))
0.2b
(*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
0.3b
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b)))
0.4b
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b)))

rewrite65.0ms (5.7%)

Algorithm
1×rewrite-expression-head
Rules
20×*-un-lft-identity_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
16×frac-times_binary64
14×add-sqr-sqrt_binary64
13×flip3-+_binary64 flip-+_binary64
12×flip3--_binary64 associate-*l*_binary64 flip--_binary64
9×associate-*r*_binary64
8×associate-/l/_binary64 pow1_binary64 associate-*r/_binary64 add-cube-cbrt_binary64 associate-/r/_binary64 associate-*l/_binary64
6×add-log-exp_binary64 sub-neg_binary64 cbrt-unprod_binary64 prod-exp_binary64
5×distribute-lft-out_binary64
4×cbrt-undiv_binary64 unpow-prod-down_binary64 cube-prod_binary64 div-exp_binary64
3×distribute-lft-in_binary64 distribute-rgt-in_binary64
2×pow-prod-down_binary64 unswap-sqr_binary64 difference-of-squares_binary64 associate-+r+_binary64 *-commutative_binary64
1×associate-/r*_binary64 sum-cubes_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 times-frac_binary64 div-inv_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 115
Calls

4 calls:

26.0ms
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b)))
18.0ms
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b)))
12.0ms
(*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
5.0ms
(+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))

series60.0ms (5.2%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b)))
20.0ms
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b)))
12.0ms
(*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
7.0ms
(+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))

simplify75.0ms (6.5%)

Algorithm
1×egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049582563
149582563

prune155.0ms (13.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh000
Picked011
Done011
Total1272129

Merged error: 0b

Counts
129 → 2

regimes61.0ms (5.3%)

Accuracy

Total 0.0b remaining (35.3%)

Threshold costs 0.0b (35.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11011

end0.0ms (0%)

sample421.0ms (36.7%)

Algorithm
1×intervals
Results
171.0ms8000×pre80true
129.0ms8000×body80valid

Profiling

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