Details

Time bar (total: 1.9s)

analyze109.0ms (5.8%)

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)

sample716.0ms (38.3%)

Results
654.0ms8256×body128valid
34.0ms389×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

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
11.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
11.0b
(/.f64 x (*.f64 y y))
Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
10.7b
(/.f64 x (*.f64 y y))

series29.0ms (1.5%)

Counts
1 → 24
Calls

1 calls:

29.0ms
(/.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))

simplify62.0ms (3.3%)

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

prune25.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New21728
Fresh000
Picked011
Done000
Total21829
Error
0.0b
Counts
29 → 8
Alt Table
StatusErrorProgram
11.5b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 y y))) (cbrt.f64 (/.f64 x (*.f64 y y)))) (cbrt.f64 (/.f64 x (*.f64 y y))))
11.0b
(/.f64 x (*.f64 y y))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
32.7b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
42.0b
(cbrt.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))))
0.2b
(/.f64 (/.f64 x y) y)
7.3b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) y)))
0.4b
(/.f64 1 (/.f64 y (/.f64 x y)))
Compiler

Compiled 460 to 173 computations (62.4% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series25.0ms (1.3%)

Counts
1 → 24
Calls

1 calls:

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

rewrite11.0ms (0.6%)

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:

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

simplify97.0ms (5.2%)

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

prune83.0ms (4.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1066112
Fresh336
Picked011
Done011
Total10911120
Error
0b
Counts
120 → 11
Alt Table
StatusErrorProgram
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
34.5b
(/.f64 (/.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
1.1b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) y))
11.0b
(/.f64 x (*.f64 y y))
29.0b
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
1.5b
(*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (cbrt.f64 y)))
11.0b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
34.7b
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (pow.f64 y 3/2)))
0.2b
(/.f64 (/.f64 x y) y)
7.3b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) y)))
0.4b
(/.f64 1 (/.f64 y (/.f64 x y)))
Compiler

Compiled 1770 to 583 computations (67.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series27.0ms (1.5%)

Counts
1 → 24
Calls

1 calls:

27.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite13.0ms (0.7%)

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 (6.4%)

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

prune63.0ms (3.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh178
Picked101
Done022
Total9110101
Error
0b
Counts
101 → 10
Alt Table
StatusErrorProgram
34.5b
(/.f64 (/.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
1.1b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) y))
11.0b
(/.f64 x (*.f64 y y))
29.0b
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
1.5b
(*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (cbrt.f64 y)))
11.0b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
34.7b
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (pow.f64 y 3/2)))
0.2b
(/.f64 (*.f64 (/.f64 1 y) x) y)
0.2b
(/.f64 (/.f64 x y) y)
0.4b
(/.f64 1 (/.f64 y (/.f64 x y)))
Compiler

Compiled 1454 to 665 computations (54.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 (/.f64 1 y) x) y)
0.3b
(*.f64 (/.f64 1 y) x)

series33.0ms (1.7%)

Counts
2 → 48
Calls

2 calls:

27.0ms
(/.f64 (*.f64 (/.f64 1 y) x) y)
6.0ms
(*.f64 (/.f64 1 y) x)

rewrite14.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
26×add-exp-log_binary64
19×add-sqr-sqrt_binary64
16×add-cbrt-cube_binary64
14×times-frac_binary64
13×associate-*l*_binary64
Counts
2 → 65
Calls

2 calls:

5.0ms
(*.f64 (/.f64 1 y) x)
5.0ms
(/.f64 (*.f64 (/.f64 1 y) x) y)

simplify95.0ms (5.1%)

Algorithm
egg-herbie
Rules
799×times-frac_binary64
439×associate-/l*_binary64
384×div-sub_binary64
319×fma-neg_binary64
302×associate-/l/_binary64
Counts
113 → 103
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090890
1197785
2638785
31919781
42294781
53344781
64718781
75278781

prune66.0ms (3.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh257
Picked011
Done112
Total1058113
Error
0b
Counts
113 → 8
Alt Table
StatusErrorProgram
34.5b
(/.f64 (/.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
1.1b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) y))
11.0b
(/.f64 x (*.f64 y y))
29.0b
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
0.3b
(/.f64 (/.f64 1 y) (/.f64 y x))
0.2b
(/.f64 (*.f64 (/.f64 1 y) x) y)
1.5b
(*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (cbrt.f64 y)))
0.4b
(/.f64 1 (/.f64 y (/.f64 x y)))
Compiler

Compiled 1333 to 699 computations (47.6% saved)

regimes179.0ms (9.6%)

Accuracy

Total 0.2b remaining (91.4%)

Threshold costs 0.2b (91.4%)

Counts
49 → 1
Compiler

Compiled 3115 to 1649 computations (47.1% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
157

end76.0ms (4%)

Compiler

Compiled 119 to 65 computations (45.4% saved)

Profiling

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