Details

Time bar (total: 2.0s)

analyze104.0ms (5.3%)

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)

sample733.0ms (37.2%)

Results
678.0ms8256×body128valid
30.0ms398×body128invalid
Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify17.0ms (0.8%)

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
13.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
13.0b
(/.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
12.4b
(/.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))

simplify70.0ms (3.5%)

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

prune24.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New22628
Fresh000
Picked011
Done000
Total22729
Error
0.0b
Counts
29 → 7
Alt Table
StatusErrorProgram
1.1b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y))
13.0b
(/.f64 x (*.f64 y y))
0.2b
(/.f64 (/.f64 x y) y)
1.0b
(/.f64 1 (/.f64 y (/.f64 x y)))
13.1b
(/.f64 1 (/.f64 (*.f64 y y) x))
0.3b
(*.f64 (/.f64 1 y) (/.f64 x y))
33.2b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
Compiler

Compiled 394 to 153 computations (61.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series27.0ms (1.4%)

Counts
1 → 24
Calls

1 calls:

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

rewrite9.0ms (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:

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

simplify108.0ms (5.5%)

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

prune70.0ms (3.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1075112
Fresh055
Picked101
Done011
Total10811119
Error
0b
Counts
119 → 11
Alt Table
StatusErrorProgram
1.1b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
1.0b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (cbrt.f64 (/.f64 (/.f64 x y) y))) (cbrt.f64 (/.f64 (/.f64 x y) y)))
1.1b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y))
13.5b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
28.7b
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
13.0b
(/.f64 x (*.f64 y y))
1.1b
(/.f64 (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
1.0b
(/.f64 1 (/.f64 y (/.f64 x y)))
13.1b
(/.f64 1 (/.f64 (*.f64 y y) x))
0.3b
(*.f64 (/.f64 1 y) (/.f64 x y))
33.2b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
Compiler

Compiled 1765 to 573 computations (67.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series25.0ms (1.3%)

Counts
1 → 24
Calls

1 calls:

25.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite12.0ms (0.6%)

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))

simplify120.0ms (6.1%)

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

prune66.0ms (3.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New88290
Fresh369
Picked011
Done011
Total9110101
Error
0b
Counts
101 → 10
Alt Table
StatusErrorProgram
1.1b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) y) (cbrt.f64 (/.f64 x y)))
1.0b
(/.f64 1 (/.f64 y (/.f64 x y)))
13.5b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
28.7b
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
0.2b
(/.f64 (*.f64 (/.f64 1 y) x) y)
13.0b
(/.f64 x (*.f64 y y))
1.1b
(/.f64 (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
1.1b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
0.3b
(*.f64 (/.f64 1 y) (/.f64 x y))
33.2b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
Compiler

Compiled 1432 to 649 computations (54.7% 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)

series38.0ms (1.9%)

Counts
2 → 48
Calls

2 calls:

32.0ms
(/.f64 (*.f64 (/.f64 1 y) x) y)
6.0ms
(*.f64 (/.f64 1 y) x)

rewrite17.0ms (0.9%)

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:

9.0ms
(*.f64 (/.f64 1 y) x)
5.0ms
(/.f64 (*.f64 (/.f64 1 y) x) y)

simplify100.0ms (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

prune65.0ms (3.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh167
Picked101
Done022
Total1049113
Error
0b
Counts
113 → 9
Alt Table
StatusErrorProgram
1.1b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) y) (cbrt.f64 (/.f64 x y)))
1.0b
(/.f64 1 (/.f64 y (/.f64 x y)))
13.5b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
28.7b
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
13.0b
(/.f64 x (*.f64 y y))
1.1b
(/.f64 (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
0.2b
(/.f64 (/.f64 1 y) (/.f64 y x))
0.3b
(*.f64 (/.f64 1 y) (/.f64 x y))
33.2b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
Compiler

Compiled 1329 to 697 computations (47.6% saved)

regimes241.0ms (12.2%)

Accuracy

Total 0.2b remaining (93%)

Threshold costs 0.2b (93%)

Counts
72 → 1
Compiler

Compiled 4213 to 2472 computations (41.3% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
*-lft-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
297

end76.0ms (3.8%)

Compiler

Compiled 115 to 63 computations (45.2% saved)

Profiling

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