Details

Time bar (total: 5.9s)

analyze90.0ms (1.5%)

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)

sample781.0ms (13.3%)

Results
726.0ms8256×body128valid
20.0ms204×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify14.0ms (0.2%)

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%)

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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series15.0ms (0.3%)

Counts
1 → 0
Calls

1 calls:

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

rewrite16.0ms (0.3%)

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:

8.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify84.0ms (1.4%)

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

prune72.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1084112
Fresh000
Picked011
Done000
Total1085113
Error
0b
Counts
113 → 5
Alt Table
StatusErrorProgram
47.1b
(*.f64 (/.f64 (fabs.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 y)) (/.f64 (fabs.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 y)))
0.8b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (fabs.f64 (cbrt.f64 (-.f64 x y))) (fabs.f64 (cbrt.f64 y))))
0.2b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
▶0.1b
(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 2124 to 447 computations (79% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
✓0.1b
(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

series44.0ms (0.8%)

Counts
2 → 24
Calls

2 calls:

25.0ms
(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
19.0ms
(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

rewrite81.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
522×times-frac_binary64
394×add-sqr-sqrt_binary64
318×fabs-mul_binary64
312×*-un-lft-identity_binary64
240×add-cube-cbrt_binary64
Counts
2 → 398
Calls

2 calls:

13.0ms
(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
10.0ms
(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))

simplify311.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
882×fma-def_binary64
447×times-frac_binary64
356×associate-/r/_binary64
302×associate-/r*_binary64
275×associate-/l*_binary64
Counts
422 → 482
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026110334
14479455
211759242
329969242
441659242
554409242

prune266.0ms (4.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4802482
Fresh213
Picked101
Done011
Total4834487
Error
0b
Counts
487 → 4
Alt Table
StatusErrorProgram
47.1b
(*.f64 (/.f64 (fabs.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 y)) (/.f64 (fabs.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 y)))
16.9b
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3)))
▶0.2b
(/.f64 (/.f64 1 (fabs.f64 y)) (/.f64 1 (fabs.f64 (-.f64 x y))))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 10475 to 2855 computations (72.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (fabs.f64 (-.f64 x y)))
✓0.2b
(/.f64 (/.f64 1 (fabs.f64 y)) (/.f64 1 (fabs.f64 (-.f64 x y))))

series36.0ms (0.6%)

Counts
2 → 24
Calls

2 calls:

21.0ms
(/.f64 1 (fabs.f64 (-.f64 x y)))
14.0ms
(/.f64 (/.f64 1 (fabs.f64 y)) (/.f64 1 (fabs.f64 (-.f64 x y))))

rewrite235.0ms (4%)

Algorithm
1×rewrite-expression-head
Rules
2268×times-frac_binary64
1260×add-sqr-sqrt_binary64
1076×*-un-lft-identity_binary64
912×add-cube-cbrt_binary64
716×fabs-mul_binary64
Counts
2 → 976
Calls

2 calls:

25.0ms
(/.f64 (/.f64 1 (fabs.f64 y)) (/.f64 1 (fabs.f64 (-.f64 x y))))
8.0ms
(/.f64 1 (fabs.f64 (-.f64 x y)))

simplify989.0ms (16.9%)

Algorithm
1×egg-herbie
Rules
680×fma-def_binary64
582×associate-*l/_binary64
448×*-commutative_binary64
394×associate-/r/_binary64
302×associate-/l/_binary64
Counts
1000 → 975
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030429700
181026610
2216325971
3280925971
4377325971
5480425971
6529825971

prune612.0ms (10.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New9732975
Fresh202
Picked011
Done011
Total9754979
Error
0b
Counts
979 → 4
Alt Table
StatusErrorProgram
▶0.1b
(/.f64 (/.f64 1 1) (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
0.6b
(/.f64 (/.f64 (sqrt.f64 1) (sqrt.f64 (fabs.f64 y))) (/.f64 (sqrt.f64 (fabs.f64 y)) (fabs.f64 (-.f64 x y))))
✓0.2b
(/.f64 (/.f64 1 (fabs.f64 y)) (/.f64 1 (fabs.f64 (-.f64 x y))))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 27543 to 13525 computations (50.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
✓0.1b
(/.f64 (/.f64 1 1) (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

series16.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

16.0ms
(/.f64 (/.f64 1 1) (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

rewrite244.0ms (4.2%)

Algorithm
1×rewrite-expression-head
Rules
2409×times-frac_binary64
1373×add-sqr-sqrt_binary64
1149×*-un-lft-identity_binary64
953×add-cube-cbrt_binary64
868×fabs-mul_binary64
Counts
1 → 1011
Calls

1 calls:

27.0ms
(/.f64 (/.f64 1 1) (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

simplify904.0ms (15.5%)

Algorithm
1×egg-herbie
Rules
867×fma-def_binary64
613×times-frac_binary64
343×associate-/r/_binary64
338×associate-/r*_binary64
296×associate-/l*_binary64
Counts
1035 → 964
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024729827
143326949
2115826046
3311126046
4422226046
5498226046

prune639.0ms (10.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New107501075
Fresh011
Picked011
Done022
Total107541079
Error
0b
Counts
1079 → 4
Alt Table
StatusErrorProgram
✓0.1b
(/.f64 (/.f64 1 1) (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
0.6b
(/.f64 (/.f64 (sqrt.f64 1) (sqrt.f64 (fabs.f64 y))) (/.f64 (sqrt.f64 (fabs.f64 y)) (fabs.f64 (-.f64 x y))))
✓0.2b
(/.f64 (/.f64 1 (fabs.f64 y)) (/.f64 1 (fabs.f64 (-.f64 x y))))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 29893 to 12628 computations (57.8% saved)

regimes316.0ms (5.4%)

Accuracy

Total 0.0b remaining (73.4%)

Threshold costs 0.0b (73.4%)

Counts
115 → 1
Compiler

Compiled 6436 to 3754 computations (41.7% saved)

simplify2.0ms (0%)

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
069
1119
2189
3229
4269
5289
6299
7299

end57.0ms (1%)

Compiler

Compiled 68 to 47 computations (30.9% saved)

Profiling

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