Details

Time bar (total: 2.3s)

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)

sample17.0ms (0.8%)

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

Compiled 23 to 17 computations (26.1% saved)

simplify23.0ms (1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
07010
17010

prune6.0ms (0.3%)

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))

rewrite14.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64
pow1_binary64
add-sqr-sqrt_binary64
flip3-+_binary64 swap-sqr_binary64 distribute-lft-out_binary64 flip-+_binary64
add-cube-cbrt_binary64
associate-*r*_binary64 associate-*l*_binary64 frac-times_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r/_binary64 associate-*l/_binary64
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 insert-posit16 pow2_binary64 *-commutative_binary64
Counts
1 → 41
Calls

1 calls:

12.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

series29.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

29.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

simplify72.0ms (3.2%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05195534

prune40.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New42244
Fresh000
Picked011
Done000
Total42345

Merged error: 0.0b

Counts
45 → 3
Compiler

Compiled 538 to 195 computations (63.8% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(pow.f64 (+.f64 a b) 6)
0.5b
(cbrt.f64 (pow.f64 (+.f64 a b) 6))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
unpow-prod-down_binary64 cbrt-prod_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64
pow-unpow_binary64 pow1_binary64 add-exp-log_binary64
add-log-exp_binary64 distribute-lft-out_binary64 sqr-pow_binary64 add-cbrt-cube_binary64 insert-posit16
pow-to-exp_binary64 pow1/3_binary64 pow-pow_binary64 pow-exp_binary64
Counts
2 → 36
Calls

2 calls:

6.0ms
(pow.f64 (+.f64 a b) 6)
5.0ms
(cbrt.f64 (pow.f64 (+.f64 a b) 6))

series177.0ms (7.8%)

Counts
2 → 6
Calls

2 calls:

149.0ms
(pow.f64 (+.f64 a b) 6)
27.0ms
(cbrt.f64 (pow.f64 (+.f64 a b) 6))

simplify109.0ms (4.8%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
04939473
14939473

prune33.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New41142
Fresh011
Picked101
Done101
Total43245

Merged error: 0b

Counts
45 → 2
Compiler

Compiled 468 to 266 computations (43.2% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 a (+.f64 a (*.f64 b 2)))

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
associate-*r/_binary64
pow-prod-down_binary64 flip3-+_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16 flip-+_binary64 *-commutative_binary64
Counts
1 → 23
Calls

1 calls:

8.0ms
(*.f64 a (+.f64 a (*.f64 b 2)))

series55.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

55.0ms
(*.f64 a (+.f64 a (*.f64 b 2)))

simplify118.0ms (5.2%)

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
05594328

prune21.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New26026
Fresh011
Picked011
Done000
Total26228

Merged error: 0b

Counts
28 → 2
Compiler

Compiled 454 to 143 computations (68.5% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 b (-.f64 b a))
0.3b
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))
0.5b
(*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))
0.5b
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))

rewrite111.0ms (4.9%)

Algorithm
rewrite-expression-head
Rules
110×*-un-lft-identity_binary64
46×distribute-lft-out_binary64
40×unpow-prod-down_binary64 cube-prod_binary64
26×swap-sqr_binary64
24×flip3-+_binary64 flip-+_binary64
22×add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
20×pow1_binary64
17×associate-*r*_binary64
16×frac-times_binary64
15×associate-*l*_binary64
14×add-cube-cbrt_binary64
10×associate-*r/_binary64
associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64
cbrt-unprod_binary64 prod-exp_binary64
add-log-exp_binary64 cbrt-undiv_binary64 sum-cubes_binary64 div-exp_binary64 insert-posit16
pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 *-commutative_binary64
sub-neg_binary64 pow-prod-up_binary64 pow-plus_binary64 pow-sqr_binary64 pow2_binary64
associate-/r*_binary64 flip3--_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 times-frac_binary64 div-inv_binary64 flip--_binary64
Counts
4 → 167
Calls

4 calls:

47.0ms
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))
33.0ms
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))
13.0ms
(*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))
8.0ms
(*.f64 b (-.f64 b a))

series334.0ms (14.8%)

Counts
4 → 12
Calls

4 calls:

97.0ms
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))
96.0ms
(*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))))
93.0ms
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a))) (+.f64 (*.f64 a a) (*.f64 b (-.f64 b a)))))
48.0ms
(*.f64 b (-.f64 b a))

simplify152.0ms (6.7%)

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
051784243

prune280.0ms (12.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1790179
Fresh000
Picked011
Done011
Total1792181

Merged error: 0b

Counts
181 → 2
Compiler

Compiled 6970 to 2841 computations (59.2% saved)

regimes20.0ms (0.9%)

Compiler

Compiled 96 to 62 computations (35.4% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
11316

end0.0ms (0%)

sample585.0ms (26%)

Algorithm
intervals
Results
194.0ms8000×pre80true
140.0ms8000×body80valid
Compiler

Compiled 88 to 56 computations (36.4% saved)

Profiling

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