Details

Time bar (total: 2.2s)

analyze69.0ms (3.2%)

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)

sample608.0ms (28.1%)

Infinites
16.9% of outputs are infinite.
Symmetry

(sort x y)

Results
557.0ms8256×body128valid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify9.0ms (0.4%)

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

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
4.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
4.6b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.6b
(/.f64 (*.f64 x y) z)

series11.0ms (0.5%)

Counts
1 → 36
Calls

1 calls:

11.0ms
(/.f64 (*.f64 x y) z)

rewrite4.0ms (0.2%)

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:

3.0ms
(/.f64 (*.f64 x y) z)

simplify119.0ms (5.5%)

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

prune25.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New31536
Fresh000
Picked011
Done000
Total31637
Error
0b
Counts
37 → 6
Alt Table
StatusErrorProgram
4.6b
(/.f64 (*.f64 x y) z)
5.2b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (cbrt.f64 (/.f64 (*.f64 x y) z))) (cbrt.f64 (/.f64 (*.f64 x y) z)))
37.2b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
5.8b
(/.f64 x (/.f64 z y))
4.8b
(/.f64 1 (/.f64 z (*.f64 x y)))
5.6b
(*.f64 x (/.f64 y z))
Compiler

Compiled 475 to 175 computations (63.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (/.f64 z (*.f64 x y)))
4.7b
(/.f64 z (*.f64 x y))

series27.0ms (1.3%)

Counts
2 → 72
Calls

2 calls:

15.0ms
(/.f64 z (*.f64 x y))
13.0ms
(/.f64 1 (/.f64 z (*.f64 x y)))

rewrite12.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
36×times-frac_binary64
28×add-exp-log_binary64
20×*-un-lft-identity_binary64
20×add-sqr-sqrt_binary64
20×add-cube-cbrt_binary64
Counts
2 → 81
Calls

2 calls:

5.0ms
(/.f64 1 (/.f64 z (*.f64 x y)))
3.0ms
(/.f64 z (*.f64 x y))

simplify109.0ms (5%)

Algorithm
egg-herbie
Rules
813×times-frac_binary64
715×div-sub_binary64
363×associate-/l*_binary64
319×associate-/r*_binary64
221×associate-/r/_binary64
Counts
153 → 116
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0931599
11761390
26321363
325821363
427611363
530181363
638171363
750441363

prune61.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1142116
Fresh224
Picked011
Done011
Total1166122
Error
0b
Counts
122 → 6
Alt Table
StatusErrorProgram
4.6b
(/.f64 (*.f64 x y) z)
5.1b
(/.f64 1 (/.f64 (/.f64 z x) y))
6.2b
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 z y)))
5.8b
(/.f64 x (/.f64 z y))
4.8b
(/.f64 1 (/.f64 z (*.f64 x y)))
5.6b
(*.f64 x (/.f64 y z))
Compiler

Compiled 1558 to 628 computations (59.7% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (/.f64 (/.f64 z x) y))
4.8b
(/.f64 (/.f64 z x) y)

series30.0ms (1.4%)

Counts
2 → 72
Calls

2 calls:

19.0ms
(/.f64 (/.f64 z x) y)
11.0ms
(/.f64 1 (/.f64 (/.f64 z x) y))

rewrite47.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
468×times-frac_binary64
228×*-un-lft-identity_binary64
228×add-sqr-sqrt_binary64
228×add-cube-cbrt_binary64
46×associate-/r*_binary64
Counts
2 → 274
Calls

2 calls:

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

simplify269.0ms (12.4%)

Algorithm
egg-herbie
Rules
933×fma-neg_binary64
676×times-frac_binary64
463×associate-*l/_binary64
455×associate-/r*_binary64
443×associate-/l*_binary64
Counts
346 → 388
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02526241
15195519
214255381
337105381
437365381
540355381
647525381
755375381

prune180.0ms (8.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3880388
Fresh033
Picked011
Done022
Total3886394
Error
0b
Counts
394 → 6
Alt Table
StatusErrorProgram
4.6b
(/.f64 (*.f64 x y) z)
5.1b
(/.f64 1 (/.f64 (/.f64 z x) y))
6.2b
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 z y)))
5.8b
(/.f64 x (/.f64 z y))
4.8b
(/.f64 1 (/.f64 z (*.f64 x y)))
5.6b
(*.f64 x (/.f64 y z))
Compiler

Compiled 7050 to 2349 computations (66.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.6b
(*.f64 x (/.f64 y z))

series12.0ms (0.6%)

Counts
1 → 36
Calls

1 calls:

12.0ms
(*.f64 x (/.f64 y z))

rewrite7.0ms (0.3%)

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:

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

simplify115.0ms (5.3%)

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

prune24.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New50050
Fresh022
Picked011
Done033
Total50656
Error
0b
Counts
56 → 6
Alt Table
StatusErrorProgram
4.6b
(/.f64 (*.f64 x y) z)
5.1b
(/.f64 1 (/.f64 (/.f64 z x) y))
6.2b
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 z y)))
5.8b
(/.f64 x (/.f64 z y))
4.8b
(/.f64 1 (/.f64 z (*.f64 x y)))
5.6b
(*.f64 x (/.f64 y z))
Compiler

Compiled 595 to 195 computations (67.2% saved)

regimes194.0ms (8.9%)

Accuracy

Total 1.2b remaining (98.4%)

Threshold costs 0b (0%)

Counts
18 → 5
Compiler

Compiled 1409 to 791 computations (43.9% saved)

bsearch1.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02992
13592
23492

end210.0ms (9.7%)

Compiler

Compiled 320 to 154 computations (51.9% saved)

Profiling

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