Details

Time bar (total: 2.7s)

analyze38.0ms (1.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample851.0ms (31.5%)

Results
794.0ms8256×body128valid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify21.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
39×fma-neg_binary64
17×sub-neg_binary64
17×fma-def_binary64
16×cancel-sign-sub-inv_binary64
9×associate-/l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21811
32711
44311
57711
68911
711211
813611
915911
1016711
1116111
1214411

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series28.0ms (1%)

Counts
1 → 0
Calls

1 calls:

28.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite26.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
71×add-sqr-sqrt_binary64
70×fabs-mul_binary64
63×times-frac_binary64
53×*-un-lft-identity_binary64
37×add-cube-cbrt_binary64
Counts
1 → 96
Calls

1 calls:

10.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify136.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
901×div-sub_binary64
444×associate-/l/_binary64
439×times-frac_binary64
383×associate-/l*_binary64
382×fma-def_binary64
Counts
96 → 112
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01472173
12222127
24912127
310852127
427142127
551672127

prune65.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1111112
Fresh000
Picked011
Done000
Total1112113
Error
0b
Counts
113 → 2
Alt Table
StatusErrorProgram
▶0.4b
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 2016 to 385 computations (80.9% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (fabs.f64 (-.f64 x y)))
✓0.2b
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
✓0.3b
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))

series73.0ms (2.7%)

Counts
3 → 48
Calls

3 calls:

38.0ms
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
23.0ms
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
12.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

rewrite211.0ms (7.8%)

Algorithm
1×rewrite-expression-head
Rules
356×add-sqr-sqrt_binary64
228×sqrt-prod_binary64
216×times-frac_binary64
209×fabs-mul_binary64
138×*-un-lft-identity_binary64
Counts
3 → 328
Calls

3 calls:

70.0ms
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
15.0ms
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
10.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify717.0ms (26.6%)

Algorithm
1×egg-herbie
Rules
628×fma-def_binary64
595×times-frac_binary64
380×associate-/r/_binary64
282×*-commutative_binary64
250×unswap-sqr_binary64
Counts
376 → 417
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030910082
16338256
219447024
321017024
432907024
546227024
649867024
749247024

prune268.0ms (9.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New4510451
Fresh000
Picked011
Done011
Total4512453
Error
0b
Counts
453 → 2
Alt Table
StatusErrorProgram
✓0.4b
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 10810 to 1531 computations (85.8% saved)

regimes144.0ms (5.3%)

Accuracy

Total 0.0b remaining (37%)

Threshold costs 0.0b (37%)

Counts
22 → 1
Compiler

Compiled 960 to 548 computations (42.9% saved)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
4×sub-neg_binary64
2×*-commutative_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21811
32311
42611
52711
62711

end91.0ms (3.4%)

Compiler

Compiled 43 to 26 computations (39.5% saved)

Profiling

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