Details

Time bar (total: 2.0s)

analyze99.0ms (4.9%)

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%74.9%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
76.5%23.4%0.1%9
76.5%23.4%0.1%10
87.8%12.1%0.1%11
87.8%12.1%0.1%12
93.8%6.1%0.1%13
93.8%6.1%0.1%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample13.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify96.0ms (4.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03713
13713

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
12.8b
Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

12.4b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
*-un-lft-identity_binary64_14741
times-frac_binary64_14747 associate-/l*_binary64_14686
cbrt-undiv_binary64_14775 cbrt-unprod_binary64_14774 add-sqr-sqrt_binary64_14763 div-exp_binary64_14792 prod-exp_binary64_14790 add-cube-cbrt_binary64_14776
associate-/l/_binary64_14688 distribute-lft-out_binary64_14692
associate-/r*_binary64_14685 frac-2neg_binary64_14752 div-inv_binary64_14738 add-log-exp_binary64_14780 flip-+_binary64_14715 clear-num_binary64_14740 flip3-+_binary64_14744 pow1_binary64_14802
Counts
1 → 27
Calls

1 calls:

9.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

series34.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

33.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

simplify43.0ms (2.1%)

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05367451

prune31.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New28230
Fresh000
Picked101
Done000
Total29231
Error
0.0b
Counts
31 → 2
Compiler

Compiled 403 to 198 computations (50.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

rewrite14.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64_14741
times-frac_binary64_14747
distribute-lft-out_binary64_14692
add-log-exp_binary64_14780 add-sqr-sqrt_binary64_14763 add-cube-cbrt_binary64_14776
div-inv_binary64_14738
frac-add_binary64_14749 +-commutative_binary64_14671 add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777 flip-+_binary64_14715 sum-log_binary64_14832 flip3-+_binary64_14744 pow1_binary64_14802
Counts
1 → 17
Calls

1 calls:

13.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

series18.0ms (0.9%)

Counts
1 → 3
Calls

1 calls:

18.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

simplify87.0ms (4.3%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
05160274

prune20.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19120
Fresh011
Picked011
Done000
Total19322
Error
0b
Counts
22 → 3
Compiler

Compiled 269 to 207 computations (23% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 x y) y)
7.8b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))

rewrite24.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity_binary64_14741
38×add-sqr-sqrt_binary64_14763
37×times-frac_binary64_14747
26×add-cube-cbrt_binary64_14776
16×add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777 associate-*r*_binary64_14681
13×associate-*l*_binary64_14682
distribute-lft-out_binary64_14692
cbrt-undiv_binary64_14775 div-exp_binary64_14792
unswap-sqr_binary64_14709 cbrt-unprod_binary64_14774 associate-/l*_binary64_14686 prod-exp_binary64_14790 pow1_binary64_14802
associate-/r*_binary64_14685 div-inv_binary64_14738
add-log-exp_binary64_14780 associate-/l/_binary64_14688
frac-2neg_binary64_14752 frac-times_binary64_14751 pow-prod-down_binary64_14812 associate-*r/_binary64_14683 associate-*l/_binary64_14684 *-commutative_binary64_14672 flip-+_binary64_14715 clear-num_binary64_14740 flip3-+_binary64_14744
Counts
2 → 86
Calls

2 calls:

13.0ms
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
5.0ms
(/.f64 (+.f64 x y) y)

series50.0ms (2.5%)

Counts
2 → 6
Calls

2 calls:

34.0ms
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
16.0ms
(/.f64 (+.f64 x y) y)

simplify59.0ms (2.9%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
053611356

prune65.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done011
Total92395
Error
0b
Counts
95 → 3
Compiler

Compiled 1395 to 557 computations (60.1% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 1/4 (*.f64 y y))
0.7b
(/.f64 1/4 (*.f64 x x))
3.0b
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
27.6b
(/.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y))) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)))

rewrite76.0ms (3.7%)

Algorithm
rewrite-expression-head
Rules
285×add-sqr-sqrt_binary64_14763
273×times-frac_binary64_14747
161×*-un-lft-identity_binary64_14741
96×difference-of-squares_binary64_14710
78×distribute-lft-out--_binary64_14693
53×add-cube-cbrt_binary64_14776
52×div-inv_binary64_14738
16×add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
15×associate-/l*_binary64_14686
14×associate-/r*_binary64_14685
cancel-sign-sub-inv_binary64_14707
add-log-exp_binary64_14780
cbrt-undiv_binary64_14775 div-exp_binary64_14792
pow1_binary64_14802
frac-2neg_binary64_14752 associate-/l/_binary64_14688 associate-/r/_binary64_14687 frac-sub_binary64_14750 flip--_binary64_14716 flip3--_binary64_14745 clear-num_binary64_14740
cbrt-unprod_binary64_14774 prod-exp_binary64_14790
div-sub_binary64_14746 diff-log_binary64_14833 sub-neg_binary64_14734
Counts
4 → 215
Calls

4 calls:

25.0ms
(/.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y))) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)))
10.0ms
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
5.0ms
(/.f64 1/4 (*.f64 x x))
4.0ms
(/.f64 1/4 (*.f64 y y))

series111.0ms (5.5%)

Counts
4 → 12
Calls

4 calls:

48.0ms
(/.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y))) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)))
29.0ms
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y)))
17.0ms
(/.f64 1/4 (*.f64 y y))
16.0ms
(/.f64 1/4 (*.f64 x x))

simplify145.0ms (7.2%)

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049407676
149407676

prune346.0ms (17.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2270227
Fresh000
Picked011
Done022
Total2273230
Error
0b
Counts
230 → 3
Compiler

Compiled 6591 to 4375 computations (33.6% saved)

regimes68.0ms (3.3%)

Accuracy

Total 0.0b remaining (91.9%)

Threshold costs 0.0b (91.9%)

Compiler

Compiled 586 to 415 computations (29.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample588.0ms (29%)

Algorithm
intervals
Results
231.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 212 to 155 computations (26.9% saved)

Profiling

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