Details

Time bar (total: 2.3s)

analyze274.0ms (12%)

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
12.5%71.8%15.7%8
25%56.2%18.9%9
31.2%43.7%25.1%10
39%34.7%26.3%11
44.9%27.9%27.3%12
47.8%22%30.2%13
52.6%16.8%30.7%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms10×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify19.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
020113
120113

prune3.0ms (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 18 to 16 computations (11.1% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
*-un-lft-identity_binary64 sub-neg_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cancel-sign-sub-inv_binary64 add-sqr-sqrt_binary64 flip--_binary64
Counts
1 → 12
Calls

1 calls:

5.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

series72.0ms (3.2%)

Counts
1 → 3
Calls

1 calls:

72.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

simplify72.0ms (3.2%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05124267

prune16.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2
Compiler

Compiled 290 to 178 computations (38.6% saved)

localize19.0ms (0.8%)

Local error

Found 4 expressions with local error:

1.4b
(+.f64 (pow.f64 x 4) (*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z))))
1.5b
(-.f64 (pow.f64 x 6) (pow.f64 (*.f64 (*.f64 y 4) z) 3))
7.2b
(*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z)))
38.6b
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 (*.f64 y 4) z) 3)) (+.f64 (pow.f64 x 4) (*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z)))))

rewrite69.0ms (3%)

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt_binary64
31×*-un-lft-identity_binary64
30×difference-of-squares_binary64 times-frac_binary64
26×sqr-pow_binary64
21×add-cube-cbrt_binary64
15×add-exp-log_binary64 add-cbrt-cube_binary64
13×pow1_binary64
11×unpow-prod-down_binary64
10×associate-/l*_binary64
add-log-exp_binary64 cancel-sign-sub-inv_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
distribute-lft-out--_binary64
flip3-+_binary64 associate-/r*_binary64 associate-*l*_binary64 flip-+_binary64
associate-/l/_binary64 flip3--_binary64 associate-*r/_binary64 associate-/r/_binary64 flip--_binary64 associate-*l/_binary64
sub-neg_binary64 diff-log_binary64 associate-*r*_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 cube-prod_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 unpow3_binary64 sum-log_binary64 *-commutative_binary64 cube-mult_binary64
Counts
4 → 120
Calls

4 calls:

22.0ms
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 (*.f64 y 4) z) 3)) (+.f64 (pow.f64 x 4) (*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z)))))
13.0ms
(*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z)))
10.0ms
(-.f64 (pow.f64 x 6) (pow.f64 (*.f64 (*.f64 y 4) z) 3))
7.0ms
(+.f64 (pow.f64 x 4) (*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z))))

series654.0ms (28.7%)

Counts
4 → 12
Calls

4 calls:

225.0ms
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 (*.f64 y 4) z) 3)) (+.f64 (pow.f64 x 4) (*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z)))))
172.0ms
(*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z)))
164.0ms
(-.f64 (pow.f64 x 6) (pow.f64 (*.f64 (*.f64 y 4) z) 3))
93.0ms
(+.f64 (pow.f64 x 4) (*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z))))

simplify116.0ms (5.1%)

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
051696188

prune351.0ms (15.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh000
Picked011
Done011
Total1322134

Merged error: 0.0b

Counts
134 → 2
Compiler

Compiled 5994 to 3979 computations (33.6% saved)

regimes73.0ms (3.2%)

Compiler

Compiled 326 to 288 computations (11.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05313
15313

end0.0ms (0%)

sample513.0ms (22.5%)

Algorithm
intervals
Results
229.0ms8000×body128valid
15.0ms518×body128invalid
Compiler

Compiled 59 to 52 computations (11.9% saved)

Profiling

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