Details

Time bar (total: 2.6s)

analyze649.0ms (25.4%)

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)

sample988.0ms (38.7%)

Symmetry

(sort x y z)

Results
945.0ms8256×body128valid
Compiler

Compiled 47 to 29 computations (38.3% saved)

simplify10.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
9×fma-def_binary64
5×+-commutative_binary64
3×associate-+r+_binary64
3×associate-+l+_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01016
11514
22514
32914
42914

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
36.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶36.5b
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
Compiler

Compiled 51 to 26 computations (49% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓33.9b
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))

series61.0ms (2.4%)

Counts
1 → 36
Calls

1 calls:

60.0ms
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))

rewrite1.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
3×sqrt-prod_binary64
3×add-sqr-sqrt_binary64
2×*-un-lft-identity_binary64
2×add-cube-cbrt_binary64
2×pow1_binary64
Counts
1 → 15
Calls

1 calls:

1.0ms
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))

simplify84.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
704×cancel-sign-sub-inv_binary64
387×fma-neg_binary64
324×sub-neg_binary64
203×fma-def_binary64
180×distribute-neg-in_binary64
Counts
51 → 92
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02422211
16882064
228202062
349702062
450332062

prune71.0ms (2.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New90292
Fresh000
Picked101
Done000
Total91293
Error
0.0b
Counts
93 → 2
Alt Table
StatusErrorProgram
▶0.0b
(hypot.f64 x z)
27.7b
(hypot.f64 y z)
Compiler

Compiled 3109 to 1850 computations (40.5% saved)

localize2.0ms (0.1%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done000
Total022
Error
0.0b
Counts
2 → 2
Alt Table
StatusErrorProgram
✓0.0b
(hypot.f64 x z)
▶27.7b
(hypot.f64 y z)
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 y z)

series11.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

11.0ms
(hypot.f64 y z)

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(hypot.f64 y z)

simplify54.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
963×fma-neg_binary64
527×cancel-sign-sub-inv_binary64
291×distribute-rgt-neg-in_binary64
290×distribute-lft-neg-in_binary64
281×associate-/r/_binary64
Counts
34 → 42
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064574
1175541
2506525
32149525
44655525
55014525

prune16.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New42042
Fresh000
Picked011
Done011
Total42244
Error
0.0b
Counts
44 → 2
Alt Table
StatusErrorProgram
✓0.0b
(hypot.f64 x z)
✓27.7b
(hypot.f64 y z)
Compiler

Compiled 553 to 333 computations (39.8% saved)

regimes134.0ms (5.3%)

Accuracy

Total 0.3b remaining (58.6%)

Threshold costs 0.3b (58.6%)

Counts
9 → 1
Compiler

Compiled 956 to 647 computations (32.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
144

end457.0ms (17.9%)

Compiler

Compiled 36 to 24 computations (33.3% saved)

Profiling

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