Details

Time bar (total: 2.0s)

analyze21.0ms (1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample526.0ms (26.3%)

Infinites
25.3% of outputs are infinite.
Results
483.0ms8256×body128valid
Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify7.0ms (0.4%)

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
5.9b
Counts
2 → 1
Alt Table
StatusErrorProgram
5.9b
(/.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
5.9b
(/.f64 x (*.f64 y y))

series27.0ms (1.4%)

Counts
1 → 24
Calls

1 calls:

27.0ms
(/.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))

simplify63.0ms (3.2%)

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

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
20.1b
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))
5.9b
(/.f64 x (*.f64 y y))
0.1b
(/.f64 (/.f64 x y) y)
6.2b
(*.f64 x (/.f64 1 (*.f64 y y)))
0.4b
(/.f64 1 (/.f64 y (/.f64 x y)))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
32.6b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
Compiler

Compiled 386 to 153 computations (60.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series56.0ms (2.8%)

Counts
1 → 24
Calls

1 calls:

56.0ms
(/.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)

simplify98.0ms (4.9%)

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 (4.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1066112
Fresh415
Picked101
Done011
Total1118119
Error
0b
Counts
119 → 8
Alt Table
StatusErrorProgram
5.9b
(/.f64 x (*.f64 y y))
6.1b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
19.0b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 x y) y)) (/.f64 (/.f64 x y) y)))
28.7b
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
0.7b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (/.f64 x y)) y))
0.1b
(*.f64 1 (/.f64 (/.f64 x y) y))
0.4b
(/.f64 1 (/.f64 y (/.f64 x y)))
0.7b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
Compiler

Compiled 1701 to 537 computations (68.4% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

prune85.0ms (4.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh066
Picked011
Done011
Total1128120
Error
0b
Counts
120 → 8
Alt Table
StatusErrorProgram
5.9b
(/.f64 x (*.f64 y y))
6.1b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
19.0b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 x y) y)) (/.f64 (/.f64 x y) y)))
28.7b
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
0.7b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (/.f64 x y)) y))
0.1b
(*.f64 1 (/.f64 (/.f64 x y) y))
0.4b
(/.f64 1 (/.f64 y (/.f64 x y)))
0.7b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
Compiler

Compiled 1916 to 755 computations (60.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 y (/.f64 x y))
0.3b
(/.f64 1 (/.f64 y (/.f64 x y)))

series37.0ms (1.8%)

Counts
2 → 48
Calls

2 calls:

26.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
10.0ms
(/.f64 y (/.f64 x y))

rewrite44.0ms (2.2%)

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:

11.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
4.0ms
(/.f64 y (/.f64 x y))

simplify281.0ms (14%)

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

prune286.0ms (14.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New4052407
Fresh235
Picked011
Done022
Total4078415
Error
0b
Counts
415 → 8
Alt Table
StatusErrorProgram
5.9b
(/.f64 x (*.f64 y y))
6.1b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 y) y))
19.0b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 x y) y)) (/.f64 (/.f64 x y) y)))
0.1b
(*.f64 1 (/.f64 (/.f64 x y) y))
0.8b
(/.f64 1 (*.f64 (/.f64 y (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 y (cbrt.f64 x))))
0.4b
(/.f64 1 (/.f64 y (/.f64 x y)))
0.7b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
6.1b
(/.f64 1 (*.f64 (/.f64 1 x) (*.f64 y y)))
Compiler

Compiled 7162 to 2601 computations (63.7% saved)

regimes239.0ms (11.9%)

Accuracy

Total 0.1b remaining (84.5%)

Threshold costs 0.1b (84.5%)

Counts
67 → 1
Compiler

Compiled 3689 to 2227 computations (39.6% 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

end92.0ms (4.6%)

Compiler

Compiled 112 to 66 computations (41.1% saved)

Profiling

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