Details

Time bar (total: 2.1s)

analyze98.0ms (4.7%)

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
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)

sample987.0ms (47.6%)

Results
919.0ms8256×body128valid
17.0ms193×body128invalid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify12.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
287

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
22.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
22.0b
(sqrt.f64 (fma.f64 x x y))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
20.5b
(sqrt.f64 (fma.f64 x x y))

series30.0ms (1.5%)

Counts
1 → 16
Calls

1 calls:

30.0ms
(sqrt.f64 (fma.f64 x x y))

rewrite99.0ms (4.8%)

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:

98.0ms
(sqrt.f64 (fma.f64 x x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1976
210696
345916
458426
000
100

simplify65.0ms (3.1%)

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

prune57.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New61364
Fresh000
Picked011
Done000
Total61465
Error
0b
Counts
65 → 4
Alt Table
StatusErrorProgram
22.0b
(sqrt.f64 (fma.f64 x x y))
22.3b
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
41.6b
(neg.f64 x)
40.6b
x
Compiler

Compiled 810 to 441 computations (45.6% saved)

localize12.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
21.1b
(pow.f64 (fma.f64 x x y) 1/4)

series88.0ms (4.2%)

Counts
2 → 48
Calls

2 calls:

50.0ms
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
38.0ms
(pow.f64 (fma.f64 x x y) 1/4)

rewrite104.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
605×log1p-expm1-u_binary64
605×expm1-log1p-u_binary64
295×log-prod_binary64
127×expm1-udef_binary64
127×log1p-udef_binary64
Counts
2 → 50
Calls

2 calls:

102.0ms
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
102.0ms
(pow.f64 (fma.f64 x x y) 1/4)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
117014
2160014
3492414
4485514
000
100

simplify75.0ms (3.6%)

Algorithm
egg-herbie
Rules
698×times-frac_binary64
496×associate-*l*_binary64
461×fma-def_binary64
410×associate-/l*_binary64
333×associate-/r*_binary64
Counts
98 → 110
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01471617
14371599
213621417
353861417

prune107.0ms (5.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh022
Picked011
Done011
Total1104114
Error
0b
Counts
114 → 4
Alt Table
StatusErrorProgram
22.0b
(sqrt.f64 (fma.f64 x x y))
22.3b
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
41.6b
(neg.f64 x)
40.6b
x
Compiler

Compiled 2128 to 1376 computations (35.3% saved)

localize1.0ms (0%)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
22.0b
(sqrt.f64 (fma.f64 x x y))
22.3b
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
41.6b
(neg.f64 x)
40.6b
x
Compiler

Compiled 28 to 19 computations (32.1% saved)

localize2.0ms (0.1%)

prune3.0ms (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
22.0b
(sqrt.f64 (fma.f64 x x y))
22.3b
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
41.6b
(neg.f64 x)
40.6b
x
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes197.0ms (9.5%)

Accuracy

Total 0.3b remaining (97.4%)

Threshold costs 0.3b (97.4%)

Counts
10 → 3
Compiler

Compiled 414 to 266 computations (35.7% saved)

bsearch20.0ms (1%)

Steps
ItersRangePoint
4
3.957550508794731e+87
7.331832509739985e+87
7.225728841507834e+87
3
-4.964812840436165e+158
-2.7900565388160213e+153
-1.2388136775436486e+154
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify5.0ms (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
01323
11723
21923
32023
42023

end99.0ms (4.8%)

Compiler

Compiled 60 to 38 computations (36.7% saved)

Profiling

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