Details

Time bar (total: 2.0s)

analyze87.0ms (4.3%)

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)

sample725.0ms (36%)

Results
678.0ms8256×body128valid
15.0ms190×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify12.0ms (0.6%)

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

prune1.0ms (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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series15.0ms (0.7%)

Counts
1 → 0
Calls

1 calls:

15.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite14.0ms (0.7%)

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:

6.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify83.0ms (4.1%)

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

prune46.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1102112
Fresh000
Picked011
Done000
Total1103113
Error
0b
Counts
113 → 3
Alt Table
StatusErrorProgram
0.6b
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
▶0.2b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
Compiler

Compiled 2038 to 405 computations (80.1% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

series14.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

14.0ms
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

rewrite21.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
74×add-sqr-sqrt_binary64
39×times-frac_binary64
28×*-un-lft-identity_binary64
27×fabs-mul_binary64
25×associate-*r*_binary64
Counts
1 → 78
Calls

1 calls:

13.0ms
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

simplify93.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
776×fma-def_binary64
489×times-frac_binary64
365×associate-/l*_binary64
318×div-sub_binary64
284×distribute-rgt-in_binary64
Counts
102 → 123
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01151792
12601597
25891597
312511597
433201597
549651597
650351597

prune49.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done011
Total1233126
Error
0b
Counts
126 → 3
Alt Table
StatusErrorProgram
▶0.6b
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓0.2b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
Compiler

Compiled 2205 to 788 computations (64.3% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series43.0ms (2.1%)

Counts
3 → 60
Calls

3 calls:

20.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))
15.0ms
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))
8.0ms
(/.f64 1 (sqrt.f64 (fabs.f64 y)))

rewrite132.0ms (6.6%)

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:

45.0ms
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))
8.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))
3.0ms
(/.f64 1 (sqrt.f64 (fabs.f64 y)))

simplify343.0ms (17%)

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

prune199.0ms (9.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New5380538
Fresh000
Picked011
Done022
Total5383541
Error
0b
Counts
541 → 3
Alt Table
StatusErrorProgram
✓0.6b
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓0.2b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
Compiler

Compiled 13834 to 3299 computations (76.2% saved)

regimes72.0ms (3.6%)

Accuracy

Total 0.0b remaining (62.7%)

Threshold costs 0.0b (62.7%)

Counts
29 → 1
Compiler

Compiled 1524 to 875 computations (42.6% saved)

simplify2.0ms (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

end46.0ms (2.3%)

Compiler

Compiled 54 to 36 computations (33.3% saved)

Profiling

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