Details

Time bar (total: 3.8s)

analyze265.0ms (7%)

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 (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms17×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify109.0ms (2.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
023113
123113

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 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_2845
add-sqr-sqrt_binary64_2828 cancel-sign-sub-inv_binary64_2772 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 flip3--_binary64_2810 diff-log_binary64_2898 *-un-lft-identity_binary64_2806 sub-neg_binary64_2799 flip--_binary64_2781 add-cube-cbrt_binary64_2841 pow1_binary64_2867
Counts
1 → 12
Calls

1 calls:

4.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

series161.0ms (4.3%)

Counts
1 → 18
Calls

1 calls:

161.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))
Compiler

Compiled 211 to 224 computations (-6.2% saved)

simplify64.0ms (1.7%)

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04970408
14970408

prune22.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New29130
Fresh000
Picked011
Done000
Total29231

Merged error: 0.0b

Counts
31 → 2
Compiler

Compiled 349 to 187 computations (46.4% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(+.f64 (pow.f64 x 4) (*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z))))
1.7b
(-.f64 (pow.f64 x 6) (pow.f64 (*.f64 (*.f64 y 4) z) 3))
3.8b
(*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z)))
36.7b
(/.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)))))

rewrite56.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt_binary64_2828
31×*-un-lft-identity_binary64_2806
30×times-frac_binary64_2812 difference-of-squares_binary64_2775
26×sqr-pow_binary64_2778
21×add-cube-cbrt_binary64_2841
15×add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842
13×pow1_binary64_2867
11×unpow-prod-down_binary64_2885
10×associate-/l*_binary64_2751
cancel-sign-sub-inv_binary64_2772 add-log-exp_binary64_2845
prod-exp_binary64_2855 cbrt-unprod_binary64_2839 pow-prod-down_binary64_2877
distribute-lft-out--_binary64_2758
associate-*l*_binary64_2747 associate-/r*_binary64_2750 flip-+_binary64_2780 flip3-+_binary64_2809
associate-/l/_binary64_2753 flip3--_binary64_2810 flip--_binary64_2781 associate-*r/_binary64_2748 associate-/r/_binary64_2752 associate-*l/_binary64_2749
div-inv_binary64_2803 div-exp_binary64_2857 *-commutative_binary64_2737 cbrt-undiv_binary64_2840 cube-prod_binary64_2834 unpow3_binary64_2872 div-sub_binary64_2811 diff-log_binary64_2898 sub-neg_binary64_2799 sum-log_binary64_2897 associate-*r*_binary64_2746 cube-mult_binary64_2836 clear-num_binary64_2805 frac-2neg_binary64_2817 +-commutative_binary64_2736
Counts
4 → 120
Calls

4 calls:

15.0ms
(/.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)))))
10.0ms
(*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z)))
8.0ms
(-.f64 (pow.f64 x 6) (pow.f64 (*.f64 (*.f64 y 4) z) 3))
5.0ms
(+.f64 (pow.f64 x 4) (*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z))))

series1.9s (49.7%)

Counts
4 → 77
Calls

4 calls:

655.0ms
(/.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)))))
512.0ms
(+.f64 (pow.f64 x 4) (*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z))))
481.0ms
(-.f64 (pow.f64 x 6) (pow.f64 (*.f64 (*.f64 y 4) z) 3))
221.0ms
(*.f64 y (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) (*.f64 4 z)))
Compiler

Compiled 2835 to 2394 computations (15.6% saved)

simplify107.0ms (2.8%)

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
052017254

prune412.0ms (11%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1970197
Fresh000
Picked011
Done011
Total1972199

Merged error: 0.0b

Counts
199 → 2
Compiler

Compiled 7490 to 4828 computations (35.5% saved)

regimes102.0ms (2.7%)

Compiler

Compiled 718 to 624 computations (13.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05313
15313

end0.0ms (0%)

sample550.0ms (14.6%)

Algorithm
intervals
Results
230.0ms8000×body128valid
12.0ms449×body128invalid
Compiler

Compiled 115 to 100 computations (13% saved)

Profiling

Loading profile data...