Details

Time bar (total: 4.9s)

analyze747.0ms (15.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0501928
033
133
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
18.7%81.1%0.1%8
34.3%65.5%0.1%9
39%60.8%0.1%10
41.3%58.5%0.1%11
52.7%47.2%0.1%12
54%45.7%0.2%13
55.3%43.8%0.9%14
Compiler

Compiled 16 to 10 computations (37.5% saved)

sample29.0ms (0.6%)

Algorithm
intervals
Results
6.0ms193×body128valid
3.0ms30×body1024valid
2.0ms16×body2048valid
1.0ms37×body128invalid
1.0ms12×body512valid
1.0msbody1024invalid
1.0msbody512invalid
1.0ms10×body256invalid
0.0msbody256valid
Compiler

Compiled 31 to 22 computations (29% saved)

simplify240.0ms (4.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (234.0ms)

IterNodesCost
066667

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 25 to 19 computations (24% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite42.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64_17832
*-un-lft-identity_binary64_17810
cancel-sign-sub-inv_binary64_17776
add-cube-cbrt_binary64_17845 associate-*r*_binary64_17750
distribute-rgt-in_binary64_17760 distribute-lft-in_binary64_17759
pow1_binary64_17871 add-exp-log_binary64_17848 add-cbrt-cube_binary64_17846 associate-*l*_binary64_17751
sub-neg_binary64_17803 associate-*r/_binary64_17752
pow-prod-down_binary64_17881 prod-exp_binary64_17859 add-log-exp_binary64_17849 cbrt-unprod_binary64_17843 unswap-sqr_binary64_17778 flip3--_binary64_17814 flip--_binary64_17785 difference-of-squares_binary64_17779 distribute-lft-out--_binary64_17762 *-commutative_binary64_17741
Counts
1 → 30
Calls

1 calls:

7.0ms
(*.f64 y (-.f64 x z))
Compiler

Compiled 317 to 104 computations (67.2% saved)

series153.0ms (3.1%)

Error
0.0b
Counts
1 → 15
Calls

1 calls:

147.0ms
(*.f64 y (-.f64 x z))
Compiler

Compiled 158 to 142 computations (10.1% saved)

simplify45.0ms (0.9%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05688386

prune32.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New43245
Fresh101
Picked011
Done000
Total44347
Error
0b
Counts
47 → 3
Compiler

Compiled 247 to 90 computations (63.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (neg.f64 (*.f64 z y)))

rewrite30.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-log-exp_binary64_17849
sum-log_binary64_17901
neg-log_binary64_17903 pow1_binary64_17871 add-exp-log_binary64_17848 add-cbrt-cube_binary64_17846 add-cube-cbrt_binary64_17845 add-sqr-sqrt_binary64_17832 flip3-+_binary64_17813 *-un-lft-identity_binary64_17810 unsub-neg_binary64_17804 flip-+_binary64_17784 distribute-lft-neg-in_binary64_17767 distribute-rgt-out_binary64_17763 neg-sub0_binary64_17805 associate-+r-_binary64_17744 +-commutative_binary64_17740
Counts
1 → 15
Calls

1 calls:

5.0ms
(+.f64 (*.f64 x y) (neg.f64 (*.f64 z y)))
Compiler

Compiled 233 to 54 computations (76.8% saved)

series168.0ms (3.4%)

Error
0b
Counts
1 → 15
Calls

1 calls:

160.0ms
(+.f64 (*.f64 x y) (neg.f64 (*.f64 z y)))
Compiler

Compiled 169 to 150 computations (11.2% saved)

simplify59.0ms (1.2%)

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05032255

prune23.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New30030
Fresh011
Picked011
Done011
Total30333
Error
0b
Counts
33 → 3
Compiler

Compiled 174 to 63 computations (63.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.1b
(+.f64 (*.f64 z z) (*.f64 x z))
2.6b
(-.f64 (pow.f64 x 3) (pow.f64 z 3))
6.1b
(*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
34.4b
(/.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (*.f64 x x) (+.f64 (*.f64 z z) (*.f64 x z))))

rewrite262.0ms (5.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
67×add-sqr-sqrt_binary64_17832
37×*-un-lft-identity_binary64_17810
36×cancel-sign-sub-inv_binary64_17776
33×unpow-prod-down_binary64_17889 cube-prod_binary64_17838
32×difference-of-squares_binary64_17779
25×associate-*r*_binary64_17750
19×sqr-pow_binary64_17782
17×add-cube-cbrt_binary64_17845
13×distribute-rgt-in_binary64_17760 distribute-lft-in_binary64_17759
11×add-exp-log_binary64_17848 add-cbrt-cube_binary64_17846
10×distribute-lft-out--_binary64_17762
add-log-exp_binary64_17849
pow1_binary64_17871
associate-*r/_binary64_17752
times-frac_binary64_17816 flip3--_binary64_17814 flip--_binary64_17785 associate-/r*_binary64_17754 sub-neg_binary64_17803 unpow3_binary64_17876 cube-mult_binary64_17840 associate-*l*_binary64_17751
prod-exp_binary64_17859 div-exp_binary64_17861 cbrt-undiv_binary64_17844 cbrt-unprod_binary64_17843 associate-/l/_binary64_17757 flip3-+_binary64_17813 associate-/r/_binary64_17756 flip-+_binary64_17784 difference-cubes_binary64_17812
frac-2neg_binary64_17821 clear-num_binary64_17809 div-inv_binary64_17807 associate-/l*_binary64_17755 pow-prod-down_binary64_17881 unswap-sqr_binary64_17778 *-commutative_binary64_17741 diff-log_binary64_17902 sum-log_binary64_17901 distribute-rgt-out_binary64_17763 +-commutative_binary64_17740
Counts
4 → 150
Calls

4 calls:

22.0ms
(*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
22.0ms
(/.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (*.f64 x x) (+.f64 (*.f64 z z) (*.f64 x z))))
12.0ms
(-.f64 (pow.f64 x 3) (pow.f64 z 3))
4.0ms
(+.f64 (*.f64 z z) (*.f64 x z))
Compiler

Compiled 3750 to 1570 computations (58.1% saved)

series1.4s (29.5%)

Error
0b
Counts
4 → 54
Calls

4 calls:

653.0ms
(/.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (*.f64 x x) (+.f64 (*.f64 z z) (*.f64 x z))))
418.0ms
(*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
237.0ms
(-.f64 (pow.f64 x 3) (pow.f64 z 3))
117.0ms
(+.f64 (*.f64 z z) (*.f64 x z))
Compiler

Compiled 1665 to 1185 computations (28.8% saved)

simplify61.0ms (1.3%)

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
050363175

prune136.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2040204
Fresh000
Picked011
Done022
Total2043207
Error
0b
Counts
207 → 3
Compiler

Compiled 2461 to 1017 computations (58.7% saved)

regimes411.0ms (8.4%)

Accuracy

Total 0.0b remaining (68.4%)

Threshold costs 0.0b (68.4%)

Compiler

Compiled 3000 to 2383 computations (20.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1197

end1.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

sample982.0ms (20.1%)

Algorithm
intervals
Results
202.0ms5855×body128valid
100.0ms856×body1024valid
65.0ms450×body2048valid
51.0ms1367×body128invalid
48.0ms547×body512valid
28.0ms315×body512invalid
25.0ms183×body1024invalid
20.0ms292×body256valid
13.0ms222×body256invalid
Compiler

Compiled 63 to 62 computations (1.6% saved)

Profiling

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