Details

Time bar (total: 2.0s)

analyze281.0ms (14.1%)

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)

sample35.0ms (1.7%)

Algorithm
intervals
Symmetry

(sort x y)

Results
6.0ms256×body128valid
1.0ms24×body128invalid
Compiler

Compiled 20 to 14 computations (30% saved)

simplify6.0ms (0.3%)

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
4.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
4.5b
(/.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
4.4b
(/.f64 (*.f64 x y) z)

series11.0ms (0.6%)

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)

simplify101.0ms (5.1%)

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 (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New29736
Fresh000
Picked011
Done000
Total29837
Error
0.0b
Counts
37 → 8
Alt Table
StatusErrorProgram
5.3b
(/.f64 x (/.f64 z y))
4.6b
(*.f64 (*.f64 x y) (/.f64 1 z))
5.0b
(/.f64 1 (/.f64 z (*.f64 x y)))
5.2b
(*.f64 x (/.f64 y z))
34.8b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
28.0b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (sqrt.f64 (/.f64 (*.f64 x y) z)))
4.5b
(/.f64 (*.f64 x y) z)
35.3b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
Compiler

Compiled 505 to 201 computations (60.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.5b
(*.f64 (*.f64 x y) (/.f64 1 z))

series11.0ms (0.6%)

Counts
1 → 36
Calls

1 calls:

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

rewrite13.0ms (0.7%)

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:

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

simplify102.0ms (5.1%)

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

prune37.0ms (1.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New57158
Fresh066
Picked011
Done011
Total57966
Error
0.0b
Counts
66 → 9
Alt Table
StatusErrorProgram
5.3b
(/.f64 x (/.f64 z y))
4.6b
(*.f64 (*.f64 x y) (/.f64 1 z))
5.0b
(/.f64 1 (/.f64 z (*.f64 x y)))
5.2b
(*.f64 x (/.f64 y z))
34.8b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
28.0b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (sqrt.f64 (/.f64 (*.f64 x y) z)))
4.5b
(/.f64 (*.f64 x y) z)
5.3b
(*.f64 x (*.f64 y (/.f64 1 z)))
35.3b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
Compiler

Compiled 900 to 448 computations (50.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.6b
(/.f64 1 (/.f64 z (*.f64 x y)))
4.3b
(/.f64 z (*.f64 x y))

series31.0ms (1.5%)

Counts
2 → 72
Calls

2 calls:

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

rewrite14.0ms (0.7%)

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:

6.0ms
(/.f64 z (*.f64 x y))
4.0ms
(/.f64 1 (/.f64 z (*.f64 x y)))

simplify103.0ms (5.2%)

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

prune59.0ms (3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1142116
Fresh426
Picked101
Done022
Total1196125
Error
0b
Counts
125 → 6
Alt Table
StatusErrorProgram
5.3b
(/.f64 x (/.f64 z y))
4.6b
(*.f64 (*.f64 x y) (/.f64 1 z))
5.2b
(*.f64 x (/.f64 y z))
28.0b
(*.f64 (sqrt.f64 (/.f64 (*.f64 y x) z)) (sqrt.f64 (/.f64 (*.f64 y x) z)))
7.7b
(/.f64 1 (/.f64 (/.f64 z x) y))
4.5b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 1566 to 624 computations (60.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.0b
(*.f64 x (/.f64 y z))

series11.0ms (0.6%)

Counts
1 → 36
Calls

1 calls:

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

rewrite6.0ms (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))

simplify108.0ms (5.4%)

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

prune22.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New49150
Fresh123
Picked011
Done022
Total50656
Error
0b
Counts
56 → 6
Alt Table
StatusErrorProgram
5.3b
(/.f64 x (/.f64 z y))
4.6b
(*.f64 (*.f64 x y) (/.f64 1 z))
5.2b
(*.f64 x (/.f64 y z))
7.7b
(/.f64 1 (/.f64 (/.f64 z x) y))
4.5b
(/.f64 (*.f64 x y) z)
16.0b
(*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z))
Compiler

Compiled 595 to 193 computations (67.6% saved)

regimes290.0ms (14.6%)

Accuracy

Total 2.0b remaining (99.3%)

Threshold costs 0b (0%)

Counts
29 → 4
Compiler

Compiled 2221 to 1258 computations (43.4% saved)

bsearch1.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02055
12255
22255

end5.0ms (0.3%)

Compiler

Compiled 123 to 54 computations (56.1% saved)

sample691.0ms (34.7%)

Algorithm
intervals
Results
229.0ms8000×body128valid
19.0ms729×body128invalid
Compiler

Compiled 109 to 63 computations (42.2% saved)

Profiling

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