Details

Time bar (total: 3.0s)

analyze872.0ms (29.3%)

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)

sample55.0ms (1.8%)

Algorithm
intervals
Results
26.0ms256×body128valid
Compiler

Compiled 34 to 22 computations (35.3% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
associate-+r+_binary64
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
39.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
39.3b
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
Compiler

Compiled 51 to 26 computations (49% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
36.6b
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))

series61.0ms (2.1%)

Counts
1 → 36
Calls

1 calls:

61.0ms
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))

rewrite2.0ms (0.1%)

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

1 calls:

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

simplify121.0ms (4.1%)

Algorithm
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

prune82.0ms (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New88492
Fresh000
Picked101
Done000
Total89493
Error
0.2b
Counts
93 → 4
Alt Table
StatusErrorProgram
32.4b
(hypot.f64 y x)
0.8b
(hypot.f64 x z)
28.6b
(hypot.f64 y z)
35.6b
(fma.f64 1/2 (/.f64 (*.f64 y y) z) (fma.f64 1/2 (/.f64 (*.f64 x x) z) z))
Compiler

Compiled 3157 to 1880 computations (40.4% saved)

localize2.0ms (0.1%)

prune7.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044
Error
0.2b
Counts
4 → 4
Alt Table
StatusErrorProgram
32.4b
(hypot.f64 y x)
0.8b
(hypot.f64 x z)
28.6b
(hypot.f64 y z)
35.6b
(fma.f64 1/2 (/.f64 (*.f64 y y) z) (fma.f64 1/2 (/.f64 (*.f64 x x) z) z))
Compiler

Compiled 66 to 42 computations (36.4% 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
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(hypot.f64 y z)

simplify66.0ms (2.2%)

Algorithm
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

prune19.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New41142
Fresh112
Picked011
Done011
Total42446
Error
0.2b
Counts
46 → 4
Alt Table
StatusErrorProgram
32.4b
(hypot.f64 y x)
0.8b
(hypot.f64 x z)
28.6b
(hypot.f64 y z)
32.1b
(fma.f64 1/2 (/.f64 (*.f64 y y) z) z)
Compiler

Compiled 587 to 355 computations (39.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1/2 (/.f64 (*.f64 y y) z) z)
9.1b
(/.f64 (*.f64 y y) z)

series27.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

14.0ms
(/.f64 (*.f64 y y) z)
13.0ms
(fma.f64 1/2 (/.f64 (*.f64 y y) z) z)

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
2 → 33
Calls

2 calls:

4.0ms
(/.f64 (*.f64 y y) z)
0.0ms
(fma.f64 1/2 (/.f64 (*.f64 y y) z) z)

simplify101.0ms (3.4%)

Algorithm
egg-herbie
Rules
577×associate-/r/_binary64
532×distribute-rgt-in_binary64
428×*-commutative_binary64
327×div-sub_binary64
323×fma-neg_binary64
Counts
81 → 52
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062826
1120758
2331758
31087758
41879758
53395758
64739758
75245758

prune40.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh011
Picked101
Done022
Total52456
Error
0.2b
Counts
56 → 4
Alt Table
StatusErrorProgram
32.4b
(hypot.f64 y x)
29.3b
(fma.f64 1/2 (*.f64 y (/.f64 y z)) z)
0.8b
(hypot.f64 x z)
28.6b
(hypot.f64 y z)
Compiler

Compiled 675 to 272 computations (59.7% saved)

regimes229.0ms (7.7%)

Accuracy

Total 0.5b remaining (95.6%)

Threshold costs 0.5b (95.6%)

Counts
20 → 1
Compiler

Compiled 2487 to 1701 computations (31.6% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
144

end17.0ms (0.6%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample1.2s (41.4%)

Algorithm
intervals
Results
430.0ms8000×body128valid
Compiler

Compiled 54 to 36 computations (33.3% saved)

Profiling

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