Details

Time bar (total: 2.7s)

analyze170.0ms (6.3%)

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
37.5%62.4%0.1%5
43.7%56.2%0.1%6
71.8%28.1%0.1%7
73.4%25%1.7%8
80.4%16.4%3.2%9
80.8%14%5.2%10
84.1%8.8%7.1%11
84.2%7.4%8.4%12
85.8%4.5%9.7%13
85.8%3.8%10.4%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample30.0ms (1.1%)

Algorithm
1×intervals
Results
14.0ms256×body128valid
0.0ms6×body128invalid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify25.0ms (0.9%)

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

prune3.0ms (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)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series37.0ms (1.4%)

Counts
1 → 0
Calls

1 calls:

37.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite31.0ms (1.1%)

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:

13.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify184.0ms (6.8%)

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

prune84.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1111112
Fresh000
Picked011
Done000
Total1112113
Error
0b
Counts
113 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
▶0.6b
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))
Compiler

Compiled 2016 to 389 computations (80.7% saved)

localize18.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))
✓0.3b
(/.f64 1 (sqrt.f64 (fabs.f64 y)))
✓0.4b
(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))

series99.0ms (3.7%)

Counts
3 → 60
Calls

3 calls:

48.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))
26.0ms
(/.f64 1 (sqrt.f64 (fabs.f64 y)))
25.0ms
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))

rewrite229.0ms (8.5%)

Algorithm
1×rewrite-expression-head
Rules
632×add-sqr-sqrt_binary64
452×times-frac_binary64
341×sqrt-prod_binary64
273×fabs-mul_binary64
240×*-un-lft-identity_binary64
Counts
3 → 462
Calls

3 calls:

66.0ms
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))
7.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))
5.0ms
(/.f64 1 (sqrt.f64 (fabs.f64 y)))

simplify757.0ms (28%)

Algorithm
1×egg-herbie
Rules
606×times-frac_binary64
455×associate-/r/_binary64
453×associate-/r*_binary64
327×*-commutative_binary64
312×associate-/l*_binary64
Counts
522 → 538
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032714881
179813498
2212013498
3361813390
4513613390

prune373.0ms (13.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New5380538
Fresh000
Picked011
Done011
Total5382540
Error
0b
Counts
540 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓0.6b
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))
Compiler

Compiled 13823 to 3291 computations (76.2% saved)

regimes104.0ms (3.8%)

Accuracy

Total 0.0b remaining (31%)

Threshold costs 0.0b (31%)

Counts
23 → 1
Compiler

Compiled 1341 to 698 computations (47.9% saved)

simplify3.0ms (0.1%)

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

end0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample544.0ms (20.2%)

Algorithm
1×intervals
Results
241.0ms8000×body128valid
6.0ms191×body128invalid
Compiler

Compiled 46 to 31 computations (32.6% saved)

Profiling

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