Details

Time bar (total: 1.8s)

analyze2.0ms (0.1%)

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

Compiled 16 to 11 computations (31.3% saved)

sample15.0ms (0.9%)

Algorithm
intervals
Results
6.0ms256×pre128true
4.0ms256×body128valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify167.0ms (9.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
07010
17010

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64_751
pow1_binary64_809
add-sqr-sqrt_binary64_772
distribute-lft-out_binary64_704 flip3-+_binary64_754 swap-sqr_binary64_718 flip-+_binary64_725
add-cube-cbrt_binary64_783
frac-times_binary64_761 associate-*l*_binary64_694 associate-*r*_binary64_693
add-cbrt-cube_binary64_784 add-exp-log_binary64_786
associate-*r/_binary64_695 associate-*l/_binary64_696
prod-exp_binary64_797 unswap-sqr_binary64_719 distribute-lft-in_binary64_702 pow-plus_binary64_811 pow-sqr_binary64_724 add-log-exp_binary64_787 pow-prod-up_binary64_818 pow-prod-down_binary64_819 *-commutative_binary64_684 cbrt-unprod_binary64_781 pow2_binary64_829 distribute-rgt-in_binary64_703
Counts
1 → 40
Calls

1 calls:

10.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

series28.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

28.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

simplify38.0ms (2.1%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05192523

prune32.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh000
Picked011
Done000
Total42244

Merged error: 0b

Counts
44 → 2
Compiler

Compiled 518 to 183 computations (64.7% saved)

localize16.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 b (-.f64 b a))
0.3b
(*.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)))
0.3b
(/.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)))

rewrite86.0ms (4.8%)

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64_751
22×add-cbrt-cube_binary64_784 add-exp-log_binary64_786
20×add-sqr-sqrt_binary64_772
16×frac-times_binary64_761
15×associate-*l*_binary64_694
14×associate-*r*_binary64_693
13×flip--_binary64_726 flip3--_binary64_755
12×flip3-+_binary64_754 flip-+_binary64_725
10×add-cube-cbrt_binary64_783 pow1_binary64_809 associate-*r/_binary64_695
associate-/l/_binary64_700 associate-/r/_binary64_699 associate-*l/_binary64_696
prod-exp_binary64_797 cbrt-unprod_binary64_781
sub-neg_binary64_744
distribute-lft-out_binary64_704
add-log-exp_binary64_787 unpow-prod-down_binary64_827 cbrt-undiv_binary64_782 cube-prod_binary64_776 div-exp_binary64_799
unswap-sqr_binary64_719 distribute-lft-in_binary64_702 pow-prod-down_binary64_819 *-commutative_binary64_684 distribute-rgt-in_binary64_703 difference-of-squares_binary64_720
distribute-lft-out--_binary64_705
sum-cubes_binary64_752 associate-/r*_binary64_697 times-frac_binary64_757 div-inv_binary64_748 frac-2neg_binary64_762 clear-num_binary64_750 associate-/l*_binary64_698
Counts
4 → 126
Calls

4 calls:

31.0ms
(/.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)))
10.0ms
(*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
7.0ms
(*.f64 b (-.f64 b a))

series396.0ms (22.1%)

Counts
4 → 12
Calls

4 calls:

141.0ms
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (*.f64 a a) (*.f64 b b)))
124.0ms
(/.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)))
84.0ms
(*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
46.0ms
(*.f64 b (-.f64 b a))

simplify105.0ms (5.8%)

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049473793
149473793

prune188.0ms (10.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done011
Total1382140

Merged error: 0b

Counts
140 → 2
Compiler

Compiled 5213 to 1755 computations (66.3% saved)

regimes82.0ms (4.6%)

Compiler

Compiled 587 to 382 computations (34.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01419
11419

end0.0ms (0%)

sample620.0ms (34.6%)

Algorithm
intervals
Results
178.0ms8000×pre128true
139.0ms8000×body128valid
Compiler

Compiled 173 to 111 computations (35.8% saved)

Profiling

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