Details

Time bar (total: 3.5s)

analyze862.0ms (24.3%)

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)

sample39.0ms (1.1%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
Compiler

Compiled 34 to 22 computations (35.3% saved)

simplify9.0ms (0.3%)

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
40.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶40.2b
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
Compiler

Compiled 51 to 26 computations (49% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x (*.f64 y y))
✓37.5b
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))

rewrite2.0ms (0.1%)

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

2 calls:

1.0ms
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
0.0ms
(fma.f64 x x (*.f64 y y))

series68.0ms (1.9%)

Counts
2 → 60
Calls

2 calls:

48.0ms
(sqrt.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))
19.0ms
(fma.f64 x x (*.f64 y y))

simplify96.0ms (2.7%)

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
85 → 160
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02522486
16942327
228302325
349842325
450472325

prune76.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1573160
Fresh000
Picked101
Done000
Total1583161
Error
0.0b
Counts
161 → 3
Alt Table
StatusErrorProgram
▶0.5b
(hypot.f64 x z)
31.0b
(hypot.f64 y z)
29.8b
(hypot.f64 y x)
Compiler

Compiled 3423 to 1947 computations (43.1% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

13.0ms
(hypot.f64 x z)

simplify60.0ms (1.7%)

Algorithm
1×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 → 56
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064550
1178541
2505525
32143525
44483525
55070525

prune19.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh022
Picked011
Done000
Total56359
Error
0.0b
Counts
59 → 3
Alt Table
StatusErrorProgram
✓0.5b
(hypot.f64 x z)
31.0b
(hypot.f64 y z)
▶29.8b
(hypot.f64 y x)
Compiler

Compiled 571 to 345 computations (39.6% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 y x)

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 x)

series13.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

13.0ms
(hypot.f64 y x)

simplify60.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
755×fma-neg_binary64
537×cancel-sign-sub-inv_binary64
354×neg-mul-1_binary64
312×distribute-rgt-neg-in_binary64
310×distribute-lft-neg-in_binary64
Counts
34 → 56
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063568
1174541
2511525
32175525
44416525
55032525

prune18.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh011
Picked011
Done011
Total56359
Error
0.0b
Counts
59 → 3
Alt Table
StatusErrorProgram
✓0.5b
(hypot.f64 x z)
▶31.0b
(hypot.f64 y z)
✓29.8b
(hypot.f64 y x)
Compiler

Compiled 565 to 341 computations (39.6% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(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)

series13.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

13.0ms
(hypot.f64 y z)

simplify60.0ms (1.7%)

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 → 56
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064574
1175541
2506525
32149525
44655525
55014525

prune16.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh000
Picked011
Done022
Total56359
Error
0.0b
Counts
59 → 3
Alt Table
StatusErrorProgram
✓0.5b
(hypot.f64 x z)
✓31.0b
(hypot.f64 y z)
✓29.8b
(hypot.f64 y x)
Compiler

Compiled 559 to 337 computations (39.7% saved)

regimes108.0ms (3.1%)

Accuracy

Total 0.5b remaining (96%)

Threshold costs 0.5b (96%)

Compiler

Compiled 857 to 566 computations (34% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
144

end13.0ms (0.4%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample2.0s (55.8%)

Algorithm
1×intervals
Results
703.0ms8000×body128valid
Compiler

Compiled 43 to 29 computations (32.6% saved)

Profiling

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