Details

Time bar (total: 1.4s)

analyze96.0ms (6.9%)

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
25%74.9%0.1%4
25%74.9%0.1%5
43.7%50%6.3%6
43.7%43.7%12.6%7
59.3%26.5%14.1%8
59.3%22.6%18%9
67.1%13.7%19.2%10
67.1%11.5%21.4%11
71%6.9%22%12
71%5.8%23.2%13
73%3.5%23.5%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample773.0ms (55.8%)

Results
734.0ms8256×body128valid
13.0ms176×body128invalid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
fma-def_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
287

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
14.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
14.5b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
13.5b
(sqrt.f64 (fma.f64 x x y))

series13.0ms (0.9%)

Counts
1 → 16
Calls

1 calls:

13.0ms
(sqrt.f64 (fma.f64 x x y))

rewrite71.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
723×log1p-udef_binary64
404×log1p-expm1-u_binary64
404×expm1-log1p-u_binary64
342×pow1_binary64
290×unpow-prod-down_binary64
Counts
1 → 42
Calls

1 calls:

70.0ms
(sqrt.f64 (fma.f64 x x y))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
1976
210696
345916
458426

simplify51.0ms (3.7%)

Algorithm
egg-herbie
Rules
653×times-frac_binary64
423×associate-/l*_binary64
423×cancel-sign-sub-inv_binary64
379×unswap-sqr_binary64
345×fma-neg_binary64
Counts
58 → 64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054329
1154325
2417311
31546309
44410309
55209309

prune30.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New61364
Fresh000
Picked011
Done000
Total61465
Error
0b
Counts
65 → 4
Alt Table
StatusErrorProgram
20.8b
(hypot.f64 x (sqrt.f64 y))
40.8b
(neg.f64 x)
43.1b
(fma.f64 1/2 (/.f64 y x) x)
14.5b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 814 to 441 computations (45.8% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 x (sqrt.f64 y))

series21.0ms (1.5%)

Counts
1 → 13
Calls

1 calls:

20.0ms
(hypot.f64 x (sqrt.f64 y))

rewrite72.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
705×log1p-udef_binary64
397×log1p-expm1-u_binary64
397×expm1-log1p-u_binary64
342×pow1_binary64
295×unpow-prod-down_binary64
Counts
1 → 37
Calls

1 calls:

71.0ms
(hypot.f64 x (sqrt.f64 y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1986
210586
345526
457756

simplify49.0ms (3.5%)

Algorithm
egg-herbie
Rules
653×times-frac_binary64
423×associate-/l*_binary64
423×cancel-sign-sub-inv_binary64
379×unswap-sqr_binary64
345×fma-neg_binary64
Counts
50 → 59
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054262
1154258
2417248
31546246
44410246
55209246

prune23.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done011
Total59463
Error
0b
Counts
63 → 4
Alt Table
StatusErrorProgram
20.8b
(hypot.f64 x (sqrt.f64 y))
40.8b
(neg.f64 x)
43.1b
(fma.f64 1/2 (/.f64 y x) x)
14.5b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 763 to 384 computations (49.7% saved)

localize1.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
20.8b
(hypot.f64 x (sqrt.f64 y))
40.8b
(neg.f64 x)
43.1b
(fma.f64 1/2 (/.f64 y x) x)
14.5b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize4.0ms (0.3%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
20.8b
(hypot.f64 x (sqrt.f64 y))
40.8b
(neg.f64 x)
43.1b
(fma.f64 1/2 (/.f64 y x) x)
14.5b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 25 to 16 computations (36% saved)

regimes104.0ms (7.5%)

Accuracy

Total 0.0b remaining (44.4%)

Threshold costs 0.0b (44.4%)

Counts
11 → 3
Compiler

Compiled 739 to 546 computations (26.1% saved)

bsearch4.0ms (0.3%)

Steps
ItersRangePoint
1
1.262681726268407e+151
4.063463251430095e+153
2.2426380335745907e+152
1
-1.9902954837118009e+155
-3.4943168013419786e+152
-8.458628286260894e+153
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01630
12030
22230
32330
42330

end53.0ms (3.8%)

Compiler

Compiled 71 to 44 computations (38% saved)

Profiling

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