Details

Time bar (total: 1.5s)

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)

sample18.0ms (1.2%)

Algorithm
intervals
Results
8.0ms256×pre80true
4.0ms256×body80valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify14.0ms (1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
07010
17010

prune3.0ms (0.2%)

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))

rewrite10.0ms (0.7%)

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 pow2_binary64 *-commutative_binary64
Counts
1 → 40
Calls

1 calls:

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

series4.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

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

simplify50.0ms (3.4%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05594523

prune31.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New40343
Fresh000
Picked101
Done000
Total41344

Merged error: 0.0b

Counts
44 → 3
Compiler

Compiled 530 to 194 computations (63.4% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite23.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
12×associate-*r/_binary64
11×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
associate-*r*_binary64
flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
associate-*l*_binary64
add-log-exp_binary64
frac-add_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
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
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))

series16.0ms (1.1%)

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))

simplify83.0ms (5.7%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04843903
14843903

prune40.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh112
Picked011
Done000
Total75378

Merged error: 0b

Counts
78 → 3
Compiler

Compiled 1183 to 271 computations (77.1% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite21.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity_binary64
10×add-log-exp_binary64
add-sqr-sqrt_binary64
distribute-lft-out_binary64
pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
sum-log_binary64
flip3-+_binary64 associate-*l*_binary64 flip-+_binary64 associate-+r+_binary64
associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 +-commutative_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
3 → 52
Calls

3 calls:

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

series17.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

7.0ms
(+.f64 (*.f64 a a) (*.f64 b (+.f64 a (+.f64 a b))))
6.0ms
(*.f64 b (+.f64 a (+.f64 a b)))
4.0ms
(+.f64 a (+.f64 a b))

simplify87.0ms (6%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05018720

prune33.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh011
Picked011
Done011
Total61364

Merged error: 0b

Counts
64 → 3
Compiler

Compiled 924 to 200 computations (78.4% saved)

localize14.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 b b) (*.f64 a b))
0.0b
(+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 a b)))
0.2b
(*.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))
0.5b
(/.f64 (*.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 a b))))

rewrite58.0ms (4%)

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity_binary64
14×flip3-+_binary64 flip-+_binary64
11×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
10×add-sqr-sqrt_binary64
associate-*r*_binary64
associate-/l/_binary64 add-cube-cbrt_binary64 frac-times_binary64
pow1_binary64 distribute-lft-out_binary64
associate-*r/_binary64 associate-*l*_binary64 unpow-prod-down_binary64 cube-prod_binary64 associate-*l/_binary64
associate-/r*_binary64 times-frac_binary64
sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64 sum-log_binary64
pow-prod-down_binary64 associate-+r-_binary64 flip3--_binary64 distribute-rgt-out--_binary64 sum-cubes_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 +-commutative_binary64 flip--_binary64 associate-+r+_binary64 *-commutative_binary64
Counts
4 → 92
Calls

4 calls:

26.0ms
(/.f64 (*.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 a b))))
18.0ms
(*.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))
7.0ms
(+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 a b)))
4.0ms
(-.f64 (*.f64 b b) (*.f64 a b))

series36.0ms (2.5%)

Counts
4 → 12
Calls

4 calls:

14.0ms
(/.f64 (*.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 a b))))
11.0ms
(*.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))
6.0ms
(+.f64 (*.f64 a a) (-.f64 (*.f64 b b) (*.f64 a b)))
5.0ms
(-.f64 (*.f64 b b) (*.f64 a b))

simplify88.0ms (6%)

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
050832374

prune74.0ms (5.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh000
Picked011
Done022
Total1043107

Merged error: 0b

Counts
107 → 3
Compiler

Compiled 3104 to 1167 computations (62.4% saved)

regimes46.0ms (3.1%)

Compiler

Compiled 94 to 64 computations (31.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01216
11216

end0.0ms (0%)

sample665.0ms (45.8%)

Algorithm
intervals
Results
166.0ms8000×pre80true
126.0ms8000×body80valid
Compiler

Compiled 87 to 56 computations (35.6% saved)

Profiling

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