Details

Time bar (total: 2.9s)

analyze122.0ms (4.2%)

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
49.9%49.9%0.1%4
49.9%49.9%0.1%5
49.9%49.9%0.1%6
74.9%25%0.1%7
74.9%25%0.1%8
74.9%25%0.1%9
87.4%12.5%0.1%10
87.4%12.5%0.1%11
87.4%12.5%0.1%12
93.6%6.2%0.1%13
93.6%6.2%0.1%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample904.0ms (31.2%)

Symmetry

(sort x y)

Results
839.0ms8256×body128valid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify14.0ms (0.5%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2137
3167
4177
5177

prune3.0ms (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 (*.f64 x y) z)
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.9b
(/.f64 (*.f64 x y) z)

series26.0ms (0.9%)

Counts
1 → 36
Calls

1 calls:

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

rewrite10.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/r*_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
1 → 23
Calls

1 calls:

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

simplify156.0ms (5.4%)

Algorithm
egg-herbie
Rules
1034×associate-/r/_binary64
1020×div-sub_binary64
899×associate-/r*_binary64
356×associate-/l*_binary64
354×sub-neg_binary64
Counts
59 → 36
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053513
1118468
2408468
31644468
41898468
52032468
62452468
73371468
83480468
94398468
104999468
114859468

prune57.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New30636
Fresh000
Picked101
Done000
Total31637
Error
0.0b
Counts
37 → 6
Alt Table
StatusErrorProgram
36.2b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
2.1b
(/.f64 x (/.f64 z y))
5.9b
(*.f64 (*.f64 x y) (/.f64 1 z))
5.9b
(/.f64 1 (/.f64 z (*.f64 x y)))
2.1b
(*.f64 x (/.f64 y z))
25.8b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z)) (/.f64 (*.f64 x y) z)))
Compiler

Compiled 483 to 184 computations (61.9% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.1b
(*.f64 x (/.f64 y z))

series26.0ms (0.9%)

Counts
1 → 36
Calls

1 calls:

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

rewrite13.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×times-frac_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
1 → 34
Calls

1 calls:

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

simplify199.0ms (6.9%)

Algorithm
egg-herbie
Rules
736×fabs-mul_binary64
732×sqr-pow_binary64
503×pow-sqr_binary64
384×associate-/l/_binary64
307×unswap-sqr_binary64
Counts
70 → 50
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072642
1162597
2526597
31312597
42135597
52239597
62445597
72751597
83643597
94500597
104489597
115931597

prune64.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New48250
Fresh145
Picked011
Done000
Total49756
Error
0b
Counts
56 → 7
Alt Table
StatusErrorProgram
19.2b
(*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z))
36.2b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
2.1b
(/.f64 x (/.f64 z y))
5.9b
(*.f64 (*.f64 x y) (/.f64 1 z))
5.9b
(/.f64 1 (/.f64 z (*.f64 x y)))
2.1b
(*.f64 x (/.f64 y z))
30.6b
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
Compiler

Compiled 683 to 242 computations (64.6% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.1b
(/.f64 x (/.f64 z y))

series29.0ms (1%)

Counts
1 → 36
Calls

1 calls:

29.0ms
(/.f64 x (/.f64 z y))

rewrite23.0ms (0.8%)

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-/r*_binary64
Counts
1 → 72
Calls

1 calls:

9.0ms
(/.f64 x (/.f64 z y))

simplify187.0ms (6.4%)

Algorithm
egg-herbie
Rules
786×fma-def_binary64
737×fma-neg_binary64
483×*-commutative_binary64
349×associate-/r/_binary64
328×div-sub_binary64
Counts
108 → 111
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01491514
13121454
29131451
321831451
425131451
527151451
631891451
750691451

prune77.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1092111
Fresh325
Picked011
Done011
Total1126118
Error
0b
Counts
118 → 6
Alt Table
StatusErrorProgram
36.2b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
2.1b
(/.f64 x (/.f64 z y))
5.9b
(/.f64 1 (/.f64 z (*.f64 x y)))
2.1b
(*.f64 x (/.f64 y z))
5.9b
(/.f64 (/.f64 x z) (/.f64 1 y))
5.8b
(*.f64 (/.f64 x z) y)
Compiler

Compiled 1581 to 431 computations (72.7% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.8b
(*.f64 (/.f64 x z) y)

series39.0ms (1.3%)

Counts
1 → 36
Calls

1 calls:

38.0ms
(*.f64 (/.f64 x z) y)

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
13×associate-*l*_binary64
10×times-frac_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
1 → 34
Calls

1 calls:

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

simplify167.0ms (5.7%)

Algorithm
egg-herbie
Rules
591×fabs-mul_binary64
520×pow-sqr_binary64
516×times-frac_binary64
449×sqr-pow_binary64
232×associate-/l/_binary64
Counts
70 → 56
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071633
1154585
2386585
31115585
42128585
52361585
62633585
73028585
83490585
94247585
104842585
115129585

prune42.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh033
Picked011
Done022
Total56662
Error
0b
Counts
62 → 6
Alt Table
StatusErrorProgram
36.2b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
2.1b
(/.f64 x (/.f64 z y))
5.9b
(/.f64 1 (/.f64 z (*.f64 x y)))
2.1b
(*.f64 x (/.f64 y z))
5.9b
(/.f64 (/.f64 x z) (/.f64 1 y))
5.8b
(*.f64 (/.f64 x z) y)
Compiler

Compiled 697 to 214 computations (69.3% saved)

regimes289.0ms (10%)

Accuracy

Total 2.9b remaining (99.5%)

Threshold costs 0b (0%)

Counts
28 → 3
Compiler

Compiled 1923 to 1123 computations (41.6% saved)

bsearch1.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
/-rgt-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02148
12648
22548

end408.0ms (14.1%)

Compiler

Compiled 200 to 108 computations (46% saved)

Profiling

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