Details

Time bar (total: 3.0s)

analyze317.0ms (10.6%)

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
0%99.9%0.1%5
0%99.9%0.1%6
31.2%68.6%0.1%7
37.4%62.4%0.1%8
40.6%57.7%1.7%9
54.6%41.3%4%10
59.3%36.7%4%11
61.6%32.6%5.8%12
68.3%22.7%9%13
71%20%9%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample874.0ms (29.1%)

Symmetry

(sort x y)

Results
771.0ms8256×body128valid
67.0ms759×body128invalid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.2%)

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%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
5.4b
Counts
2 → 1
Alt Table
StatusErrorProgram
5.4b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.2b
(/.f64 (*.f64 x y) z)

series13.0ms (0.4%)

Counts
1 → 36
Calls

1 calls:

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

rewrite6.0ms (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:

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

simplify110.0ms (3.7%)

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

prune26.0ms (0.9%)

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
7.3b
(/.f64 x (/.f64 z y))
5.4b
(*.f64 (*.f64 x y) (/.f64 1 z))
5.5b
(/.f64 1 (/.f64 z (*.f64 x y)))
7.4b
(*.f64 x (/.f64 y z))
34.3b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
28.6b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (sqrt.f64 (/.f64 (*.f64 x y) z)))
Compiler

Compiled 473 to 182 computations (61.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.2b
(*.f64 (*.f64 x y) (/.f64 1 z))

series15.0ms (0.5%)

Counts
1 → 36
Calls

1 calls:

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

rewrite9.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
23×add-exp-log_binary64
13×associate-*r*_binary64
13×add-cbrt-cube_binary64
12×prod-exp_binary64
times-frac_binary64
Counts
1 → 40
Calls

1 calls:

7.0ms
(*.f64 (*.f64 x y) (/.f64 1 z))

simplify103.0ms (3.4%)

Algorithm
egg-herbie
Rules
714×times-frac_binary64
499×fabs-mul_binary64
408×pow-sqr_binary64
379×associate-/r*_binary64
375×sqr-pow_binary64
Counts
76 → 58
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069678
1157600
2507600
31128600
42644600
53000600
63364600
73866600
84570600
94685600
105107600

prune32.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New58058
Fresh055
Picked011
Done000
Total58664
Error
0.0b
Counts
64 → 6
Alt Table
StatusErrorProgram
7.3b
(/.f64 x (/.f64 z y))
5.4b
(*.f64 (*.f64 x y) (/.f64 1 z))
5.5b
(/.f64 1 (/.f64 z (*.f64 x y)))
7.4b
(*.f64 x (/.f64 y z))
34.3b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
28.6b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (sqrt.f64 (/.f64 (*.f64 x y) z)))
Compiler

Compiled 848 to 415 computations (51.1% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (/.f64 z (*.f64 x y)))
5.2b
(/.f64 z (*.f64 x y))

series29.0ms (1%)

Counts
2 → 72
Calls

2 calls:

17.0ms
(/.f64 z (*.f64 x y))
12.0ms
(/.f64 1 (/.f64 z (*.f64 x y)))

rewrite12.0ms (0.4%)

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))

simplify105.0ms (3.5%)

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

prune60.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh044
Picked011
Done011
Total1157122
Error
0b
Counts
122 → 7
Alt Table
StatusErrorProgram
7.3b
(/.f64 x (/.f64 z y))
5.4b
(*.f64 (*.f64 x y) (/.f64 1 z))
5.5b
(/.f64 1 (/.f64 z (*.f64 x y)))
7.4b
(*.f64 x (/.f64 y z))
34.3b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
28.6b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (sqrt.f64 (/.f64 (*.f64 x y) z)))
5.9b
(/.f64 1 (/.f64 (/.f64 z x) y))
Compiler

Compiled 1592 to 640 computations (59.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (/.f64 (/.f64 z x) y))
5.6b
(/.f64 (/.f64 z x) y)

series28.0ms (0.9%)

Counts
2 → 72
Calls

2 calls:

17.0ms
(/.f64 (/.f64 z x) y)
12.0ms
(/.f64 1 (/.f64 (/.f64 z x) y))

rewrite44.0ms (1.5%)

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:

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

simplify273.0ms (9.1%)

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

prune179.0ms (6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3862388
Fresh224
Picked101
Done112
Total3905395
Error
0b
Counts
395 → 5
Alt Table
StatusErrorProgram
5.7b
(/.f64 (/.f64 x z) (/.f64 1 y))
7.3b
(/.f64 x (/.f64 z y))
5.5b
(/.f64 1 (/.f64 z (*.f64 x y)))
7.4b
(*.f64 x (/.f64 y z))
5.9b
(*.f64 (/.f64 1 (/.f64 z x)) y)
Compiler

Compiled 7012 to 2323 computations (66.9% saved)

regimes536.0ms (17.9%)

Accuracy

Total 0.3b remaining (94.6%)

Threshold costs 0.3b (94.6%)

Counts
48 → 5
Compiler

Compiled 3216 to 2073 computations (35.5% saved)

bsearch1.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02471
12571
22571

end200.0ms (6.7%)

Compiler

Compiled 254 to 115 computations (54.7% saved)

Profiling

Loading profile data...