Details

Time bar (total: 10.8s)

analyze2.2s (20.5%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0691638
1691638
088
188
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14
Symmetry

sort(x y)

sort(z t)

sort(a b)

sort(c i)

Compiler

Compiled 16 to 16 computations (0% saved)

sample89.0ms (0.8%)

Algorithm
intervals
Results
11.0ms256×body128valid
9.0ms190×body128invalid
Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06722
16722

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 30 to 30 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
0.0b
(+.f64 (*.f64 x y) (*.f64 z t))
0.0b
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))

rewrite59.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
19×add-log-exp_binary64_2845
10×sum-log_binary64_2897
pow1_binary64_2867 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 flip3-+_binary64_2809 *-un-lft-identity_binary64_2806 flip-+_binary64_2780 +-commutative_binary64_2736
associate-+l+_binary64_2739
Counts
3 → 38
Calls

3 calls:

9.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
7.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 1006 to 161 computations (84% saved)

series962.0ms (8.9%)

Error
0.0b
Counts
3 → 108
Calls

3 calls:

466.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
290.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
141.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 3266 to 2266 computations (30.6% saved)

simplify78.0ms (0.7%)

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
050062201

prune98.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1442146
Fresh000
Picked101
Done000
Total1452147
Error
0.0b
Counts
147 → 2
Compiler

Compiled 2188 to 197 computations (91% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 i c)))
0.0b
(+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 i c))
0.0b
(+.f64 (*.f64 t z) (*.f64 a b))

rewrite49.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
19×add-log-exp_binary64_2845
10×sum-log_binary64_2897
pow1_binary64_2867 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 flip3-+_binary64_2809 *-un-lft-identity_binary64_2806 flip-+_binary64_2780 +-commutative_binary64_2736
associate-+l+_binary64_2739 associate-+r+_binary64_2738
Counts
3 → 38
Calls

3 calls:

8.0ms
(+.f64 (*.f64 x y) (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 i c)))
7.0ms
(+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 i c))
4.0ms
(+.f64 (*.f64 t z) (*.f64 a b))
Compiler

Compiled 1006 to 161 computations (84% saved)

series946.0ms (8.8%)

Error
0.0b
Counts
3 → 108
Calls

3 calls:

465.0ms
(+.f64 (*.f64 x y) (+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 i c)))
290.0ms
(+.f64 (+.f64 (*.f64 t z) (*.f64 a b)) (*.f64 i c))
142.0ms
(+.f64 (*.f64 t z) (*.f64 a b))
Compiler

Compiled 3266 to 2263 computations (30.7% saved)

simplify61.0ms (0.6%)

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049932207
149932207

prune84.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1460146
Fresh011
Picked011
Done000
Total1462148
Error
0.0b
Counts
148 → 2
Compiler

Compiled 2173 to 172 computations (92.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (*.f64 a b) (*.f64 a b))
0.3b
(*.f64 (+.f64 (*.f64 t z) (*.f64 x y)) (+.f64 (*.f64 t z) (*.f64 x y)))
4.2b
(-.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 x y)) (+.f64 (*.f64 t z) (*.f64 x y))) (*.f64 (*.f64 a b) (*.f64 a b)))
27.6b
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 x y)) (+.f64 (*.f64 t z) (*.f64 x y))) (*.f64 (*.f64 a b) (*.f64 a b))) (-.f64 (+.f64 (*.f64 t z) (*.f64 x y)) (*.f64 a b)))

rewrite210.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
50×pow1_binary64_2867
20×add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842
19×add-sqr-sqrt_binary64_2828
18×pow-prod-down_binary64_2877
17×add-cube-cbrt_binary64_2841 *-un-lft-identity_binary64_2806
12×times-frac_binary64_2812
prod-exp_binary64_2855 cbrt-unprod_binary64_2839
add-log-exp_binary64_2845 flip3-+_binary64_2809 flip-+_binary64_2780
difference-of-squares_binary64_2775 pow-prod-up_binary64_2876 pow-sqr_binary64_2779
associate-/l*_binary64_2751 frac-times_binary64_2816 swap-sqr_binary64_2773 associate-*l*_binary64_2747 associate-*r*_binary64_2746
flip3--_binary64_2810 flip--_binary64_2781 associate-/r*_binary64_2750 pow-plus_binary64_2869
associate-/l/_binary64_2753 associate-/r/_binary64_2752 distribute-rgt-in_binary64_2756 associate--l+_binary64_2743 distribute-lft-in_binary64_2755 pow2_binary64_2887 associate-*l/_binary64_2749 associate-*r/_binary64_2748 *-commutative_binary64_2737
div-exp_binary64_2857 cbrt-undiv_binary64_2840 frac-2neg_binary64_2817 div-sub_binary64_2811 clear-num_binary64_2805 div-inv_binary64_2803 diff-log_binary64_2898 sub-neg_binary64_2799 cancel-sign-sub-inv_binary64_2772 unswap-sqr_binary64_2774
Counts
4 → 120
Calls

4 calls:

19.0ms
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 x y)) (+.f64 (*.f64 t z) (*.f64 x y))) (*.f64 (*.f64 a b) (*.f64 a b))) (-.f64 (+.f64 (*.f64 t z) (*.f64 x y)) (*.f64 a b)))
11.0ms
(-.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 x y)) (+.f64 (*.f64 t z) (*.f64 x y))) (*.f64 (*.f64 a b) (*.f64 a b)))
9.0ms
(*.f64 (+.f64 (*.f64 t z) (*.f64 x y)) (+.f64 (*.f64 t z) (*.f64 x y)))
9.0ms
(*.f64 (*.f64 a b) (*.f64 a b))
Compiler

Compiled 6648 to 659 computations (90.1% saved)

series2.9s (27.3%)

Error
0.0b
Counts
4 → 128
Calls

4 calls:

1.2s
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 x y)) (+.f64 (*.f64 t z) (*.f64 x y))) (*.f64 (*.f64 a b) (*.f64 a b))) (-.f64 (+.f64 (*.f64 t z) (*.f64 x y)) (*.f64 a b)))
1.2s
(-.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 x y)) (+.f64 (*.f64 t z) (*.f64 x y))) (*.f64 (*.f64 a b) (*.f64 a b)))
333.0ms
(*.f64 (+.f64 (*.f64 t z) (*.f64 x y)) (+.f64 (*.f64 t z) (*.f64 x y)))
81.0ms
(*.f64 (*.f64 a b) (*.f64 a b))
Compiler

Compiled 13358 to 7724 computations (42.2% saved)

simplify109.0ms (1%)

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050517732

prune237.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2480248
Fresh000
Picked011
Done011
Total2482250
Error
0.0b
Counts
250 → 2
Compiler

Compiled 10306 to 1367 computations (86.7% saved)

regimes712.0ms (6.6%)

Accuracy

Total 0.0b remaining (17.3%)

Threshold costs 0.0b (17.3%)

Compiler

Compiled 7194 to 6498 computations (9.7% saved)

bsearch0.0ms (0%)

simplify82.0ms (0.8%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02322
12322
Removed

((sort c i) (sort a b) (sort z t) (sort x y))

Compiler

Compiled 120 to 120 computations (0% saved)

end0.0ms (0%)

sample1.8s (16.7%)

Algorithm
intervals
Results
385.0ms8000×body128valid
278.0ms5487×body128invalid
Compiler

Compiled 451 to 408 computations (9.5% saved)

Profiling

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