Details

Time bar (total: 3.2s)

analyze610.0ms (19.1%)

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
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)

sample921.0ms (28.8%)

Symmetry

(sort x y z)

Results
881.0ms8256×body128valid
Compiler

Compiled 47 to 29 computations (38.3% saved)

simplify7.0ms (0.2%)

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
01016
11514
22614
33214
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
40.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶40.3b
(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))
Compiler

Compiled 51 to 26 computations (49% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x (fma.f64 y y (*.f64 z z)))
✓37.4b
(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))

series51.0ms (1.6%)

Counts
2 → 72
Calls

2 calls:

37.0ms
(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))
14.0ms
(fma.f64 x x (fma.f64 y y (*.f64 z z)))

rewrite39.0ms (1.2%)

Algorithm
1×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
0826
115717
2182117
Stop Event
1×node limit
Counts
2 → 57
Calls

2 calls:

38.0ms
(fma.f64 x x (fma.f64 y y (*.f64 z z)))
38.0ms
(sqrt.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))))

simplify50.0ms (1.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02242463
17332193
230202191
Stop Event
1×node limit
Counts
129 → 140

prune91.0ms (2.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1382140
Fresh000
Picked101
Done000
Total1392141
Error
0b
Counts
141 → 2
Alt Table
StatusErrorProgram
▶0.0b
(hypot.f64 x (hypot.f64 y z))
1.3b
(*.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) (pow.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) 2))
Compiler

Compiled 3528 to 2132 computations (39.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 x (hypot.f64 y z))

series46.0ms (1.4%)

Counts
1 → 36
Calls

1 calls:

46.0ms
(hypot.f64 x (hypot.f64 y z))

rewrite34.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
494×log1p-expm1-u_binary64
494×expm1-log1p-u_binary64
317×unpow-prod-down_binary64
264×log-prod_binary64
156×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11197
213857
Stop Event
1×node limit
Counts
1 → 34
Calls

1 calls:

33.0ms
(hypot.f64 x (hypot.f64 y z))

simplify48.0ms (1.5%)

Algorithm
1×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
02231977
17301821
230121819
Stop Event
1×node limit
Counts
70 → 103

prune83.0ms (2.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done000
Total1032105
Error
0b
Counts
105 → 2
Alt Table
StatusErrorProgram
✓0.0b
(hypot.f64 x (hypot.f64 y z))
▶1.3b
(*.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) (pow.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) 2))
Compiler

Compiled 3178 to 1953 computations (38.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 x (hypot.f64 y z))
✓0.2b
(*.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) (pow.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) 2))
✓0.5b
(cbrt.f64 (hypot.f64 x (hypot.f64 y z)))
✓0.6b
(pow.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) 2)

series428.0ms (13.4%)

Counts
3 → 60
Calls

3 calls:

247.0ms
(pow.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) 2)
134.0ms
(cbrt.f64 (hypot.f64 x (hypot.f64 y z)))
46.0ms
(*.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) (pow.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) 2))

rewrite42.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
684×log1p-expm1-u_binary64
684×expm1-log1p-u_binary64
147×expm1-udef_binary64
147×log1p-udef_binary64
102×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
120128
2201628
Stop Event
1×node limit
Counts
3 → 57
Calls

3 calls:

41.0ms
(*.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) (pow.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) 2))
41.0ms
(cbrt.f64 (hypot.f64 x (hypot.f64 y z)))
41.0ms
(pow.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) 2)

simplify83.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
391×fma-neg_binary64
353×sub-neg_binary64
306×fma-def_binary64
223×associate-*r*_binary64
190×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03433299
111133015
242653013
Stop Event
1×node limit
Counts
117 → 174

prune341.0ms (10.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New4280428
Fresh000
Picked011
Done011
Total4282430
Error
0b
Counts
430 → 2
Alt Table
StatusErrorProgram
✓0.0b
(hypot.f64 x (hypot.f64 y z))
✓1.3b
(*.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) (pow.f64 (cbrt.f64 (hypot.f64 x (hypot.f64 y z))) 2))
Compiler

Compiled 15705 to 8743 computations (44.3% saved)

regimes249.0ms (7.8%)

Accuracy

Total 0.0b remaining (12.9%)

Threshold costs 0.0b (12.9%)

Counts
23 → 1
Compiler

Compiled 2862 to 1938 computations (32.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
Stop Event
1×saturated

end52.0ms (1.6%)

Remove

(sort x y z)

Compiler

Compiled 58 to 34 computations (41.4% saved)

Profiling

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