Details

Time bar (total: 2.4s)

analyze133.0ms (5.6%)

Algorithm
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%68.7%6.3%6
25%53.1%22%7
25%46.8%28.2%8
25%33.6%41.5%9
28.1%18%54%10
31.6%12.1%56.3%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 30 to 20 computations (33.3% saved)

sample27.0ms (1.1%)

Algorithm
intervals
Results
19.0ms256×body128valid
Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify35.0ms (1.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0507243

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 58 to 38 computations (34.5% saved)

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
0.0b
(*.f64 (*.f64 a a) (-.f64 1 a))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
0.6b
(*.f64 (*.f64 b b) (+.f64 3 a))

rewrite41.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
15×pow1_binary64 add-exp-log_binary64
14×add-cbrt-cube_binary64
13×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
10×associate-*r*_binary64
add-cube-cbrt_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64
associate-*r/_binary64
pow-unpow_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unpow-prod-down_binary64
flip3-+_binary64 sub-neg_binary64 associate-*l*_binary64 unswap-sqr_binary64 difference-of-squares_binary64 flip-+_binary64 associate-+r+_binary64 *-commutative_binary64
pow-to-exp_binary64 flip3--_binary64 distribute-lft-out_binary64 unpow2_binary64 pow-pow_binary64 sqr-pow_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 pow-exp_binary64 sum-log_binary64
Counts
4 → 81
Calls

4 calls:

9.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
9.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

series322.0ms (13.6%)

Counts
4 → 12
Calls

4 calls:

143.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
69.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
60.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
50.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

simplify38.0ms (1.6%)

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050991735

prune130.0ms (5.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh000
Picked011
Done000
Total92294

Merged error: 0b

Counts
94 → 2
Compiler

Compiled 3235 to 1646 computations (49.1% saved)

localize24.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
0.0b
(*.f64 (*.f64 a a) (-.f64 1 a))
0.6b
(*.f64 (*.f64 b b) (+.f64 3 a))
2.8b
(*.f64 (*.f64 b b) (*.f64 a a))

rewrite76.0ms (3.2%)

Algorithm
rewrite-expression-head
Rules
42×pow1_binary64
32×associate-*r/_binary64
26×add-exp-log_binary64 add-cbrt-cube_binary64
20×pow-prod-down_binary64 frac-add_binary64
14×flip3-+_binary64 cbrt-unprod_binary64 prod-exp_binary64 flip-+_binary64
13×add-log-exp_binary64
11×*-un-lft-identity_binary64 associate-*r*_binary64 add-sqr-sqrt_binary64
add-cube-cbrt_binary64 sum-log_binary64
flip3--_binary64 flip--_binary64
pow-prod-up_binary64 pow-plus_binary64
distribute-lft-in_binary64 associate-*l*_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 *-commutative_binary64
sub-neg_binary64 difference-of-squares_binary64 pow-sqr_binary64 associate-+r+_binary64 pow2_binary64
distribute-lft-out_binary64 associate-+l+_binary64 distribute-lft-out--_binary64 +-commutative_binary64
Counts
4 → 107
Calls

4 calls:

29.0ms
(+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
10.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
9.0ms
(*.f64 (*.f64 b b) (*.f64 a a))
9.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))

series325.0ms (13.8%)

Counts
4 → 12
Calls

4 calls:

152.0ms
(+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
67.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
56.0ms
(*.f64 (*.f64 b b) (*.f64 a a))
50.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))

simplify87.0ms (3.7%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049904441
149904441

prune252.0ms (10.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done011
Total1192121

Merged error: 0b

Counts
121 → 2
Compiler

Compiled 6090 to 3537 computations (41.9% saved)

regimes59.0ms (2.5%)

Compiler

Compiled 452 to 306 computations (32.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05355
15355

end0.0ms (0%)

sample793.0ms (33.6%)

Algorithm
intervals
Results
526.0ms8000×body128valid
1.0msbody128invalid
Compiler

Compiled 133 to 91 computations (31.6% saved)

Profiling

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