Details

Time bar (total: 2.7s)

analyze649.0ms (24%)

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
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
28.1%71.8%0.1%9
42.1%57.7%0.1%10
49.1%50.7%0.1%11
57.3%42.5%0.1%12
66.9%33%0.1%13
71.7%28.2%0.1%14
Compiler

Compiled 16 to 10 computations (37.5% saved)

sample1.0s (38.2%)

Symmetry

(sort x y z)

Results
990.0ms8256×body128valid
Compiler

Compiled 47 to 29 computations (38.3% saved)

simplify9.0ms (0.3%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
associate-+r+_binary64
associate-+l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01016
11514
22614
33214
Stop Event
saturated
Counts
1 → 2

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
40.7b
Counts
3 → 1
Alt Table
StatusErrorProgram
40.7b
(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))
Compiler

Compiled 51 to 26 computations (49% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 y y (*.f64 z z))
37.9b
(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))

series44.0ms (1.6%)

Counts
2 → 60
Calls

2 calls:

36.0ms
(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))
8.0ms
(fma.f64 y y (*.f64 z z))

rewrite38.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
642×log1p-expm1-u_binary64
642×expm1-log1p-u_binary64
135×expm1-udef_binary64
135×log1p-udef_binary64
132×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0822
115714
2182114
Stop Event
node limit
Counts
2 → 51
Calls

2 calls:

35.0ms
(fma.f64 y y (*.f64 z z))
35.0ms
(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))

simplify47.0ms (1.8%)

Algorithm
egg-herbie
Rules
704×cancel-sign-sub-inv_binary64
324×sub-neg_binary64
295×fma-neg_binary64
203×fma-def_binary64
180×distribute-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02232181
17301989
230121987
Stop Event
node limit
Counts
111 → 126

prune97.0ms (3.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1233126
Fresh000
Picked101
Done000
Total1243127
Error
0b
Counts
127 → 3
Alt Table
StatusErrorProgram
30.8b
(hypot.f64 y x)
0.7b
(hypot.f64 z x)
30.4b
(hypot.f64 z y)
Compiler

Compiled 3373 to 2087 computations (38.1% saved)

localize2.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done000
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
30.8b
(hypot.f64 y x)
0.7b
(hypot.f64 z x)
30.4b
(hypot.f64 z y)
Compiler

Compiled 30 to 20 computations (33.3% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 z y)

series12.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

12.0ms
(hypot.f64 z y)

rewrite28.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
329×log1p-expm1-u_binary64
329×expm1-log1p-u_binary64
294×add-log-exp_binary64
293×add-exp-log_binary64
288×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1794
29194
Stop Event
node limit
Counts
1 → 38
Calls

1 calls:

28.0ms
(hypot.f64 z y)

simplify33.0ms (1.2%)

Algorithm
egg-herbie
Rules
551×fma-neg_binary64
527×cancel-sign-sub-inv_binary64
291×distribute-rgt-neg-in_binary64
290×distribute-lft-neg-in_binary64
260×distribute-neg-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051494
1163470
2519454
32365454
Stop Event
node limit
Counts
62 → 68

prune33.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh011
Picked011
Done011
Total68371
Error
0b
Counts
71 → 3
Alt Table
StatusErrorProgram
30.8b
(hypot.f64 y x)
0.7b
(hypot.f64 z x)
30.4b
(hypot.f64 z y)
Compiler

Compiled 835 to 466 computations (44.2% saved)

localize2.0ms (0.1%)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
30.8b
(hypot.f64 y x)
0.7b
(hypot.f64 z x)
30.4b
(hypot.f64 z y)
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes160.0ms (5.9%)

Accuracy

Total 0.5b remaining (96.4%)

Threshold costs 0.5b (96.4%)

Counts
12 → 1
Compiler

Compiled 1408 to 968 computations (31.3% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
Stop Event
saturated

end497.0ms (18.4%)

Compiler

Compiled 42 to 28 computations (33.3% saved)

Profiling

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