Details

Time bar (total: 2.2s)

analyze59.0ms (2.7%)

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
50%50%0.1%5
50%50%0.1%6
71.8%28.1%0.1%7
73.4%25%1.7%8
80.4%16.4%3.2%9
80.8%14%5.2%10
84.1%8.8%7.1%11
84.2%7.4%8.4%12
85.8%4.5%9.7%13
85.8%3.8%10.4%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample13.0ms (0.6%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify105.0ms (4.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01410
11410

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity_binary64_15764
48×times-frac_binary64_15770
39×add-sqr-sqrt_binary64_15786 add-cube-cbrt_binary64_15799
28×distribute-lft-out_binary64_15715
15×distribute-rgt-out_binary64_15717
12×associate-/r*_binary64_15708
count-2_binary64_15712 distribute-rgt1-in_binary64_15720 distribute-lft1-in_binary64_15719
associate-/l*_binary64_15709
add-cbrt-cube_binary64_15800 add-exp-log_binary64_15802
flip3-+_binary64_15767 associate-/l/_binary64_15711 flip-+_binary64_15738 associate-/r/_binary64_15710
add-log-exp_binary64_15803 cbrt-undiv_binary64_15798 div-inv_binary64_15761 frac-2neg_binary64_15775 clear-num_binary64_15763 pow1_binary64_15825 div-exp_binary64_15815
Counts
1 → 80
Calls

2 calls:

10.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
0.0ms
(/.f64 (+.f64 x y) (+.f64 y y))

series99.0ms (4.5%)

Counts
1 → 12
Calls

1 calls:

99.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 102 to 108 computations (-5.9% saved)

simplify79.0ms (3.6%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
051901471

prune59.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New91192
Fresh000
Picked011
Done000
Total91293
Error
0b
Counts
93 → 2
Compiler

Compiled 1179 to 344 computations (70.8% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 1 (/.f64 y (/.f64 (+.f64 x y) 2)))
0.0b
(/.f64 y (/.f64 (+.f64 x y) 2))
0.0b
(/.f64 y (/.f64 (+.f64 x y) 2))
0.1b
(/.f64 1 (/.f64 y (/.f64 (+.f64 x y) 2)))

rewrite71.0ms (3.2%)

Algorithm
rewrite-expression-head
Rules
591×times-frac_binary64_15770
365×*-un-lft-identity_binary64_15764
269×add-sqr-sqrt_binary64_15786 add-cube-cbrt_binary64_15799
69×associate-/r*_binary64_15708
48×distribute-lft-out_binary64_15715
28×add-exp-log_binary64_15802
22×div-inv_binary64_15761
18×div-exp_binary64_15815
16×add-cbrt-cube_binary64_15800
cbrt-undiv_binary64_15798
associate-/l*_binary64_15709 associate-/r/_binary64_15710
rec-exp_binary64_15814 1-exp_binary64_15808 pow1_binary64_15825
add-log-exp_binary64_15803 frac-2neg_binary64_15775 clear-num_binary64_15763
inv-pow_binary64_15849 pow-flip_binary64_15838
Counts
2 → 322
Calls

4 calls:

18.0ms
(/.f64 1 (/.f64 y (/.f64 (+.f64 x y) 2)))
9.0ms
(/.f64 y (/.f64 (+.f64 x y) 2))
0.0ms
(/.f64 y (/.f64 (+.f64 x y) 2))
0.0ms
(/.f64 1 (/.f64 y (/.f64 (+.f64 x y) 2)))

series176.0ms (8%)

Counts
2 → 30
Calls

2 calls:

96.0ms
(/.f64 1 (/.f64 y (/.f64 (+.f64 x y) 2)))
80.0ms
(/.f64 y (/.f64 (+.f64 x y) 2))
Compiler

Compiled 435 to 411 computations (5.5% saved)

simplify143.0ms (6.5%)

Algorithm
egg-herbie
Counts
352 → 352
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049878186
149878186

prune318.0ms (14.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3520352
Fresh000
Picked011
Done011
Total3522354
Error
0b
Counts
354 → 2
Compiler

Compiled 6393 to 3315 computations (48.1% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02887
12887

regimes50.0ms (2.3%)

Compiler

Compiled 204 to 186 computations (8.8% saved)

bsearch0.0ms (0%)

regimes102.0ms (4.6%)

Compiler

Compiled 32 to 52 computations (-62.5% saved)

bsearch75.0ms (3.4%)

Steps
ItersRangePoint
8
4178420506.2012534
11785814162017.564
2055727150675.5154
8
0.0035033494771976163
37.37989339886459
34.872192135791586
8
7.2616252577333e-82
4.729024871429793e-78
1.8923122223253836e-80
9
-9.751636355065254e-177
-4.7144490441019375e-185
-9.538543098076214e-177
10
-5.5819044672986825e-118
-8.657789372637524e-128
-1.4695836432165667e-126
8
-1.139544513917224e-40
-2.994761422052144e-45
-7.185736607712673e-44
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes95.0ms (4.4%)

Compiler

Compiled 22 to 42 computations (-90.9% saved)

bsearch73.0ms (3.3%)

Steps
ItersRangePoint
8
4178420506.2012534
11785814162017.564
34266237198.333717
8
0.0035033494771976163
37.37989339886459
11.761591508070724
8
7.2616252577333e-82
4.729024871429793e-78
1.1157231824719229e-78
9
-9.751636355065254e-177
-4.7144490441019375e-185
-7.865311228066508e-177
10
-5.5819044672986825e-118
-8.657789372637524e-128
-1.5232664493634675e-121
8
-1.139544513917224e-40
-2.994761422052144e-45
-1.3376001740133537e-43
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes19.0ms (0.9%)

Compiler

Compiled 12 to 32 computations (-166.7% saved)

bsearch0.0ms (0%)

regimes19.0ms (0.9%)

Accuracy

Total 0.1b remaining (96.9%)

Threshold costs 0.1b (96.9%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch5.0ms (0.2%)

Compiler

Compiled 95 to 75 computations (21.1% saved)

simplify7.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0127110
1127110

end0.0ms (0%)

sample594.0ms (27.1%)

Algorithm
intervals
Results
185.0ms8000×body128valid
4.0ms201×body128invalid
Compiler

Compiled 152 to 136 computations (10.5% saved)

Pareto

0.4629632443235156

Profiling

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