Details

Time bar (total: 4.4s)

analyze1.5s (32.7%)

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)

sample112.0ms (2.5%)

Algorithm
intervals
Results
66.0ms256×body128valid
Compiler

Compiled 34 to 22 computations (35.3% saved)

simplify14.0ms (0.3%)

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

prune10.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
37.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
37.9b
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
Compiler

Compiled 51 to 26 computations (49% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x x (*.f64 y y))
35.3b
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))

series129.0ms (2.9%)

Counts
2 → 60
Calls

2 calls:

117.0ms
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
12.0ms
(fma.f64 x x (*.f64 y y))

rewrite10.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
sqrt-prod_binary64
add-cube-cbrt_binary64
pow1_binary64
Counts
2 → 25
Calls

2 calls:

7.0ms
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
1.0ms
(fma.f64 x x (*.f64 y y))

simplify224.0ms (5%)

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
85 → 115
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02522486
16942327
228302325
349842325
450472325

prune153.0ms (3.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1123115
Fresh000
Picked101
Done000
Total1133116
Error
0.0b
Counts
116 → 3
Alt Table
StatusErrorProgram
0.3b
(hypot.f64 x z)
30.6b
(hypot.f64 y z)
30.2b
(hypot.f64 y x)
Compiler

Compiled 3423 to 1947 computations (43.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 x z)

series23.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

23.0ms
(hypot.f64 x 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:

1.0ms
(hypot.f64 x z)

simplify113.0ms (2.5%)

Algorithm
egg-herbie
Rules
953×fma-neg_binary64
534×cancel-sign-sub-inv_binary64
273×associate-/r/_binary64
262×distribute-rgt-neg-in_binary64
259×distribute-lft-neg-in_binary64
Counts
34 → 42
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064550
1178541
2505525
32143525
44483525
55070525

prune43.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New42042
Fresh022
Picked011
Done000
Total42345
Error
0.0b
Counts
45 → 3
Alt Table
StatusErrorProgram
0.3b
(hypot.f64 x z)
30.6b
(hypot.f64 y z)
30.2b
(hypot.f64 y x)
Compiler

Compiled 571 to 345 computations (39.6% saved)

localize5.0ms (0.1%)

prune4.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Error
0.0b
Counts
3 → 3
Alt Table
StatusErrorProgram
0.3b
(hypot.f64 x z)
30.6b
(hypot.f64 y z)
30.2b
(hypot.f64 y x)
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize5.0ms (0.1%)

prune6.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0.0b
Counts
3 → 3
Alt Table
StatusErrorProgram
0.3b
(hypot.f64 x z)
30.6b
(hypot.f64 y z)
30.2b
(hypot.f64 y x)
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes364.0ms (8.2%)

Accuracy

Total 0.4b remaining (97.3%)

Threshold costs 0.4b (97.3%)

Counts
11 → 1
Compiler

Compiled 1316 to 892 computations (32.2% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
144

end30.0ms (0.7%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample1.7s (38.7%)

Algorithm
intervals
Results
615.0ms8000×body128valid
Compiler

Compiled 43 to 29 computations (32.6% saved)

Profiling

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