Details

Time bar (total: 2.3s)

analyze103.0ms (4.6%)

Algorithm
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
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample747.0ms (33%)

Results
687.0ms8256×body128valid
31.0ms369×body128invalid
Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
8.8b
Counts
2 → 1
Alt Table
StatusErrorProgram
8.8b
(/.f64 x (*.f64 y y))
Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
8.5b
(/.f64 x (*.f64 y y))

series25.0ms (1.1%)

Counts
1 → 24
Calls

1 calls:

25.0ms
(/.f64 x (*.f64 y y))

rewrite4.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/l*_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
1 → 23
Calls

1 calls:

3.0ms
(/.f64 x (*.f64 y y))

simplify65.0ms (2.9%)

Algorithm
egg-herbie
Rules
553×div-sub_binary64
385×associate-/l*_binary64
361×associate-/l/_binary64
320×*-commutative_binary64
266×fma-def_binary64
Counts
47 → 28
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046433
195388
2220388
3582388
41890388
52472388
64192388
75127388

prune31.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New20828
Fresh000
Picked011
Done000
Total20929
Error
0.0b
Counts
29 → 9
Alt Table
StatusErrorProgram
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
8.8b
(/.f64 x (*.f64 y y))
0.2b
(/.f64 (/.f64 x y) y)
28.4b
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))
33.3b
(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))
35.6b
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 y y) (sqrt.f64 x)))
9.1b
(*.f64 x (/.f64 1 (*.f64 y y)))
0.5b
(/.f64 1 (/.f64 y (/.f64 x y)))
0.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y))
Compiler

Compiled 436 to 181 computations (58.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 x y) y)

series23.0ms (1%)

Counts
1 → 24
Calls

1 calls:

22.0ms
(/.f64 (/.f64 x y) y)

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
43×*-un-lft-identity_binary64
43×add-sqr-sqrt_binary64
43×add-cube-cbrt_binary64
13×associate-/l*_binary64
Counts
1 → 72
Calls

1 calls:

5.0ms
(/.f64 (/.f64 x y) y)

simplify101.0ms (4.5%)

Algorithm
egg-herbie
Rules
346×distribute-rgt-in_binary64
343×fma-neg_binary64
329×associate-/l/_binary64
297×distribute-lft-in_binary64
282×fma-def_binary64
Counts
96 → 112
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01401474
12961373
25711301
313191277
416431272
524611222
642961192
748601192

prune71.0ms (3.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1084112
Fresh347
Picked011
Done011
Total11110121
Error
0b
Counts
121 → 10
Alt Table
StatusErrorProgram
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
8.8b
(/.f64 x (*.f64 y y))
19.4b
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y)))
33.2b
(/.f64 (/.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
0.2b
(/.f64 (/.f64 x y) y)
33.3b
(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))
9.1b
(*.f64 x (/.f64 1 (*.f64 y y)))
9.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (*.f64 y y)))
0.5b
(/.f64 1 (/.f64 y (/.f64 x y)))
26.4b
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
Compiler

Compiled 1698 to 541 computations (68.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series23.0ms (1%)

Counts
1 → 24
Calls

1 calls:

23.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
25×times-frac_binary64
23×add-exp-log_binary64
17×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
Counts
1 → 58
Calls

1 calls:

8.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

simplify119.0ms (5.3%)

Algorithm
egg-herbie
Rules
885×fma-neg_binary64
444×times-frac_binary64
349×associate-/l*_binary64
316×fma-def_binary64
233×*-commutative_binary64
Counts
82 → 90
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094934
1236811
2708776
31790764
42239764
53222764
64299764
74925764
84992764
94884764

prune58.0ms (2.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh077
Picked011
Done022
Total9010100
Error
0b
Counts
100 → 10
Alt Table
StatusErrorProgram
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
8.8b
(/.f64 x (*.f64 y y))
19.4b
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y)))
33.2b
(/.f64 (/.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
0.2b
(/.f64 (/.f64 x y) y)
33.3b
(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))
9.1b
(*.f64 x (/.f64 1 (*.f64 y y)))
9.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (*.f64 y y)))
0.5b
(/.f64 1 (/.f64 y (/.f64 x y)))
26.4b
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
Compiler

Compiled 1401 to 631 computations (55% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 y (/.f64 x y))
0.4b
(/.f64 1 (/.f64 y (/.f64 x y)))

series29.0ms (1.3%)

Counts
2 → 48
Calls

2 calls:

20.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
9.0ms
(/.f64 y (/.f64 x y))

rewrite56.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64
229×add-sqr-sqrt_binary64
229×add-cube-cbrt_binary64
57×associate-/r*_binary64
Counts
2 → 278
Calls

2 calls:

23.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
4.0ms
(/.f64 y (/.f64 x y))

simplify285.0ms (12.6%)

Algorithm
egg-herbie
Rules
768×fma-def_binary64
596×fma-neg_binary64
301×*-commutative_binary64
295×associate-/r/_binary64
270×div-sub_binary64
Counts
326 → 407
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
02456405
14785400
214734989
317214941
422954926
536014718
641974616
747924616
848774616

prune234.0ms (10.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New4043407
Fresh426
Picked011
Done213
Total4107417
Error
0b
Counts
417 → 7
Alt Table
StatusErrorProgram
0.2b
(/.f64 (/.f64 1 (/.f64 y x)) y)
33.2b
(/.f64 (/.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
0.3b
(/.f64 (/.f64 1 y) (/.f64 1 (/.f64 x y)))
33.3b
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) y) y))
9.1b
(*.f64 x (/.f64 1 (*.f64 y y)))
0.5b
(/.f64 1 (/.f64 y (/.f64 x y)))
8.8b
(/.f64 x (*.f64 y y))
Compiler

Compiled 7130 to 2586 computations (63.7% saved)

regimes176.0ms (7.8%)

Accuracy

Total 0.2b remaining (88.5%)

Threshold costs 0.2b (88.5%)

Counts
47 → 1
Compiler

Compiled 2648 to 1496 computations (43.5% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
157

end64.0ms (2.8%)

Compiler

Compiled 80 to 51 computations (36.3% saved)

Profiling

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