Details

Time bar (total: 2.4s)

analyze18.0ms (0.7%)

Algorithm
1×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
49.9%49.9%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
93.6%6.2%0.1%8
96.7%3.1%0.1%9
98.3%1.6%0.1%10
99.1%0.8%0.1%11
99.5%0.4%0.1%12
99.7%0.2%0.1%13
99.8%0.1%0.1%14
Compiler

Compiled 18 to 12 computations (33.3% saved)

sample1.0s (42.3%)

Symmetry

(sort x y z)

Results
975.0ms8256×body128valid
Compiler

Compiled 53 to 35 computations (34% saved)

simplify9.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
9×fma-def_binary64
5×+-commutative_binary64
3×associate-+r+_binary64
3×associate-+l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01219
11717
22817
33417
Stop Event
1×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
39.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶39.3b
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) 3))
Compiler

Compiled 59 to 34 computations (42.4% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) 3)
✓36.5b
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) 3))

series86.0ms (3.6%)

Counts
2 → 72
Calls

2 calls:

64.0ms
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) 3))
22.0ms
(/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) 3)

rewrite48.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
864×log1p-expm1-u_binary64
864×expm1-log1p-u_binary64
135×prod-diff_binary64
100×add-sqr-sqrt_binary64
94×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
120725
2242625
Stop Event
1×node limit
Counts
2 → 61
Calls

2 calls:

46.0ms
(/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) 3)
46.0ms
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) 3))

simplify75.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
361×sub-neg_binary64
351×fma-neg_binary64
287×fma-def_binary64
226×times-frac_binary64
205×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03073318
111353089
242923089
Stop Event
1×node limit
Counts
133 → 146

prune124.0ms (5.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1442146
Fresh000
Picked101
Done000
Total1452147
Error
0b
Counts
147 → 2
Alt Table
StatusErrorProgram
▶0.3b
(/.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 3))
0.4b
(*.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 1/3))
Compiler

Compiled 4609 to 3285 computations (28.7% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 3))

series78.0ms (3.3%)

Counts
1 → 36
Calls

1 calls:

78.0ms
(/.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 3))

rewrite41.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
809×log1p-expm1-u_binary64
809×expm1-log1p-u_binary64
126×prod-diff_binary64
92×add-sqr-sqrt_binary64
87×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
118612
2222512
Stop Event
1×node limit
Counts
1 → 33
Calls

1 calls:

40.0ms
(/.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 3))

simplify58.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
725×cancel-sign-sub-inv_binary64
326×fma-neg_binary64
312×sub-neg_binary64
220×fma-def_binary64
201×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02642765
19602581
239002581
Stop Event
1×node limit
Counts
69 → 102

prune93.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh011
Picked011
Done000
Total1022104
Error
0b
Counts
104 → 2
Alt Table
StatusErrorProgram
✓0.3b
(/.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 3))
▶0.4b
(*.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 1/3))
Compiler

Compiled 4093 to 3015 computations (26.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 1/3))

series71.0ms (3%)

Counts
1 → 36
Calls

1 calls:

71.0ms
(*.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 1/3))

rewrite38.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
717×log1p-expm1-u_binary64
717×expm1-log1p-u_binary64
155×log1p-udef_binary64
102×prod-diff_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
118012
2201412
Stop Event
1×node limit
Counts
1 → 15
Calls

1 calls:

38.0ms
(*.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 1/3))

simplify61.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
362×sub-neg_binary64
351×fma-neg_binary64
273×fma-def_binary64
226×times-frac_binary64
202×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02992697
111072555
242292555
Stop Event
1×node limit
Counts
51 → 86

prune82.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done011
Total86288
Error
0b
Counts
88 → 2
Alt Table
StatusErrorProgram
✓0.3b
(/.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 3))
✓0.4b
(*.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 1/3))
Compiler

Compiled 3767 to 2818 computations (25.2% saved)

regimes419.0ms (17.5%)

Accuracy

Total 0.4b remaining (99.2%)

Threshold costs 0.4b (99.2%)

Counts
40 → 1
Compiler

Compiled 5767 to 4423 computations (23.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
Stop Event
1×saturated

end55.0ms (2.3%)

Remove

(sort x y z)

Compiler

Compiled 66 to 48 computations (27.3% saved)

Profiling

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