Details

Time bar (total: 2.5s)

analyze112.0ms (4.4%)

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)

sample14.0ms (0.6%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms12×body128invalid
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify14.0ms (0.6%)

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
9.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
9.3b
(/.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
9.1b
(/.f64 x (*.f64 y y))

series30.0ms (1.2%)

Counts
1 → 24
Calls

1 calls:

30.0ms
(/.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))

simplify76.0ms (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%)

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
9.4b
(/.f64 1 (/.f64 (*.f64 y y) x))
9.3b
(/.f64 x (*.f64 y y))
9.9b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 y y) (cbrt.f64 x)))
9.5b
(*.f64 x (/.f64 1 (*.f64 y y)))
0.2b
(/.f64 1 (/.f64 y (/.f64 x y)))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
34.5b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
Compiler

Compiled 398 to 157 computations (60.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series28.0ms (1.1%)

Counts
1 → 24
Calls

1 calls:

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

rewrite14.0ms (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:

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

simplify126.0ms (5%)

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

prune73.0ms (2.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New87390
Fresh145
Picked011
Done011
Total88997
Error
0b
Counts
97 → 9
Alt Table
StatusErrorProgram
9.4b
(/.f64 1 (/.f64 (*.f64 y y) x))
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 1 y) (/.f64 x y))) (cbrt.f64 (*.f64 (/.f64 1 y) (/.f64 x y)))) (cbrt.f64 (*.f64 (/.f64 1 y) (/.f64 x y))))
9.3b
(/.f64 x (*.f64 y y))
9.9b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 y y) (cbrt.f64 x)))
9.5b
(*.f64 x (/.f64 1 (*.f64 y y)))
0.2b
(/.f64 1 (/.f64 y (/.f64 x y)))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
34.8b
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (pow.f64 y 3/2)))
0.8b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 x y) (cbrt.f64 y)))
Compiler

Compiled 1426 to 659 computations (53.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series38.0ms (1.5%)

Counts
2 → 48
Calls

2 calls:

27.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
11.0ms
(/.f64 y (/.f64 x y))

rewrite49.0ms (1.9%)

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))

simplify306.0ms (12.1%)

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

prune258.0ms (10.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New4043407
Fresh516
Picked011
Done022
Total4097416
Error
0b
Counts
416 → 7
Alt Table
StatusErrorProgram
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 1 y) (/.f64 x y))) (cbrt.f64 (*.f64 (/.f64 1 y) (/.f64 x y)))) (cbrt.f64 (*.f64 (/.f64 1 y) (/.f64 x y))))
9.3b
(/.f64 x (*.f64 y y))
0.8b
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (/.f64 x y)))
0.2b
(/.f64 1 (/.f64 y (/.f64 x y)))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
0.3b
(/.f64 (/.f64 1 (/.f64 y x)) y)
0.3b
(/.f64 (/.f64 1 y) (/.f64 1 (/.f64 x y)))
Compiler

Compiled 7215 to 2641 computations (63.4% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 1 (/.f64 y x)) y)
0.7b
(/.f64 1 (/.f64 y x))

series34.0ms (1.3%)

Counts
2 → 48
Calls

2 calls:

28.0ms
(/.f64 (/.f64 1 (/.f64 y x)) y)
6.0ms
(/.f64 1 (/.f64 y x))

rewrite50.0ms (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
47×associate-/l*_binary64
Counts
2 → 280
Calls

2 calls:

10.0ms
(/.f64 (/.f64 1 (/.f64 y x)) y)
4.0ms
(/.f64 1 (/.f64 y x))

simplify295.0ms (11.7%)

Algorithm
egg-herbie
Rules
580×fma-def_binary64
470×associate-/r/_binary64
452×fma-neg_binary64
359×associate-*l/_binary64
270×associate-*r/_binary64
Counts
328 → 387
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
02095782
14754921
211484624
322774598
427424576
540704442
647894388
749914388
849684388

prune247.0ms (9.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3852387
Fresh213
Picked011
Done033
Total3877394
Error
0b
Counts
394 → 7
Alt Table
StatusErrorProgram
0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))
0.2b
(/.f64 (/.f64 1 y) (/.f64 y x))
0.8b
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (/.f64 x y)))
0.2b
(/.f64 1 (/.f64 y (/.f64 x y)))
9.3b
(/.f64 x (*.f64 y y))
23.8b
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 (/.f64 y x)) y)) (sqrt.f64 (/.f64 (/.f64 1 (/.f64 y x)) y)))
0.3b
(/.f64 (/.f64 1 (/.f64 y x)) y)
Compiler

Compiled 6884 to 3096 computations (55% saved)

regimes209.0ms (8.3%)

Accuracy

Total 0.2b remaining (90.1%)

Threshold costs 0.2b (90.1%)

Counts
54 → 1
Compiler

Compiled 3522 to 2053 computations (41.7% saved)

simplify2.0ms (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)

sample508.0ms (20.1%)

Algorithm
intervals
Results
209.0ms8000×body128valid
9.0ms367×body128invalid
Compiler

Compiled 94 to 61 computations (35.1% saved)

Profiling

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