Details

Time bar (total: 2.9s)

analyze90.0ms (3.1%)

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)

sample33.0ms (1.1%)

Algorithm
intervals
Results
10.0ms256×body128valid
0.0ms14×body128invalid
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.8b
Counts
2 → 1
Alt Table
StatusErrorProgram
12.8b
(/.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
12.3b
(/.f64 x (*.f64 y y))

series27.0ms (0.9%)

Counts
1 → 24
Calls

1 calls:

26.0ms
(/.f64 x (*.f64 y y))

rewrite6.0ms (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:

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

simplify62.0ms (2.2%)

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

prune23.0ms (0.8%)

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
1.4b
(/.f64 1 (/.f64 y (/.f64 x y)))
12.8b
(/.f64 x (*.f64 y y))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
0.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y))
29.8b
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (sqrt.f64 (/.f64 x (*.f64 y y))))
0.1b
(/.f64 (/.f64 x y) y)
13.1b
(*.f64 x (/.f64 1 (*.f64 y y)))
Compiler

Compiled 402 to 155 computations (61.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 x y) y)

series32.0ms (1.1%)

Counts
1 → 24
Calls

1 calls:

31.0ms
(/.f64 (/.f64 x y) y)

rewrite13.0ms (0.4%)

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:

7.0ms
(/.f64 (/.f64 x y) y)

simplify106.0ms (3.7%)

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

prune72.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1084112
Fresh415
Picked011
Done011
Total1127119
Error
0b
Counts
119 → 7
Alt Table
StatusErrorProgram
1.4b
(/.f64 1 (/.f64 y (/.f64 x y)))
12.8b
(/.f64 x (*.f64 y y))
22.0b
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
0.8b
(/.f64 (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
24.5b
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y)))
13.0b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
0.1b
(/.f64 (/.f64 x y) y)
Compiler

Compiled 1642 to 507 computations (69.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
0.3b
(/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)

series616.0ms (21.4%)

Counts
4 → 72
Calls

4 calls:

487.0ms
(/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
54.0ms
(/.f64 (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
38.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
36.0ms
(cbrt.f64 y)

rewrite51.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
287×times-frac_binary64
127×add-sqr-sqrt_binary64
119×*-un-lft-identity_binary64
119×add-cube-cbrt_binary64
73×cbrt-prod_binary64
Counts
4 → 251
Calls

4 calls:

14.0ms
(/.f64 (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
6.0ms
(/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
4.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)

simplify236.0ms (8.2%)

Algorithm
egg-herbie
Rules
535×fma-neg_binary64
510×associate-/l/_binary64
409×*-commutative_binary64
312×associate-/r*_binary64
246×fma-def_binary64
Counts
323 → 418
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03356406
16815265
223824881
330134588
444064526
549874526
648444526

prune226.0ms (7.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New4560456
Fresh044
Picked011
Done022
Total4567463
Error
0b
Counts
463 → 7
Alt Table
StatusErrorProgram
1.4b
(/.f64 1 (/.f64 y (/.f64 x y)))
12.8b
(/.f64 x (*.f64 y y))
22.0b
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
0.8b
(/.f64 (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
24.5b
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y)))
13.0b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
0.1b
(/.f64 (/.f64 x y) y)
Compiler

Compiled 8769 to 2402 computations (72.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 y (/.f64 x y))
1.3b
(/.f64 1 (/.f64 y (/.f64 x y)))

series40.0ms (1.4%)

Counts
2 → 48
Calls

2 calls:

28.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
12.0ms
(/.f64 y (/.f64 x y))

rewrite45.0ms (1.6%)

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:

9.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
4.0ms
(/.f64 y (/.f64 x y))

simplify286.0ms (9.9%)

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

prune210.0ms (7.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4061407
Fresh123
Picked011
Done123
Total4086414
Error
0b
Counts
414 → 6
Alt Table
StatusErrorProgram
1.4b
(/.f64 1 (/.f64 y (/.f64 x y)))
22.0b
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
0.2b
(/.f64 (/.f64 1 (/.f64 y x)) y)
13.0b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
0.8b
(/.f64 (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
0.1b
(/.f64 (/.f64 x y) y)
Compiler

Compiled 7127 to 2580 computations (63.8% saved)

regimes235.0ms (8.1%)

Accuracy

Total 0.1b remaining (78.9%)

Threshold costs 0.1b (78.9%)

Counts
67 → 1
Compiler

Compiled 3762 to 2281 computations (39.4% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
157

end0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

sample448.0ms (15.6%)

Algorithm
intervals
Results
186.0ms8000×body128valid
10.0ms390×body128invalid
Compiler

Compiled 80 to 48 computations (40% saved)

Profiling

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