Details

Time bar (total: 2.1s)

analyze293.0ms (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
7.0ms256×body128valid
1.0ms22×body128invalid
Compiler

Compiled 20 to 14 computations (30% saved)

simplify7.0ms (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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
5.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
5.2b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.6%)

Counts
1 → 36
Calls

1 calls:

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

rewrite5.0ms (0.3%)

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)

simplify113.0ms (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

prune27.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New31536
Fresh000
Picked011
Done000
Total31637
Error
0.0b
Counts
37 → 6
Alt Table
StatusErrorProgram
5.3b
(*.f64 (*.f64 x y) (/.f64 1 z))
5.6b
(/.f64 1 (/.f64 z (*.f64 x y)))
5.9b
(*.f64 x (/.f64 y z))
34.6b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
5.2b
(/.f64 (*.f64 x y) z)
6.1b
(/.f64 x (/.f64 z y))
Compiler

Compiled 449 to 173 computations (61.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.1b
(*.f64 (*.f64 x y) (/.f64 1 z))

series23.0ms (1.1%)

Counts
1 → 36
Calls

1 calls:

23.0ms
(*.f64 (*.f64 x y) (/.f64 1 z))

rewrite9.0ms (0.4%)

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:

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

simplify114.0ms (5.5%)

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

prune31.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New57158
Fresh044
Picked011
Done011
Total57764
Error
0.0b
Counts
64 → 7
Alt Table
StatusErrorProgram
5.9b
(*.f64 x (*.f64 y (/.f64 1 z)))
5.6b
(/.f64 1 (/.f64 z (*.f64 x y)))
5.3b
(*.f64 (*.f64 x y) (/.f64 1 z))
5.9b
(*.f64 x (/.f64 y z))
34.6b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
5.2b
(/.f64 (*.f64 x y) z)
6.1b
(/.f64 x (/.f64 z y))
Compiler

Compiled 844 to 420 computations (50.2% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.5b
(/.f64 1 (/.f64 z (*.f64 x y)))
5.0b
(/.f64 z (*.f64 x y))

series30.0ms (1.4%)

Counts
2 → 72
Calls

2 calls:

18.0ms
(/.f64 z (*.f64 x y))
12.0ms
(/.f64 1 (/.f64 z (*.f64 x y)))

rewrite13.0ms (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)))
4.0ms
(/.f64 z (*.f64 x y))

simplify109.0ms (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

prune60.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1142116
Fresh134
Picked101
Done112
Total1176123
Error
0.0b
Counts
123 → 6
Alt Table
StatusErrorProgram
5.2b
(/.f64 (*.f64 x y) z)
7.4b
(/.f64 1 (/.f64 (/.f64 z x) y))
5.9b
(*.f64 x (*.f64 y (/.f64 1 z)))
5.9b
(*.f64 x (/.f64 y z))
5.9b
(/.f64 (/.f64 1 z) (/.f64 1 (*.f64 x y)))
6.1b
(/.f64 x (/.f64 z y))
Compiler

Compiled 1568 to 635 computations (59.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.7b
(*.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))

simplify108.0ms (5.2%)

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

prune23.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New49150
Fresh044
Picked011
Done011
Total49756
Error
0.0b
Counts
56 → 7
Alt Table
StatusErrorProgram
5.2b
(/.f64 (*.f64 x y) z)
7.4b
(/.f64 1 (/.f64 (/.f64 z x) y))
26.1b
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
5.9b
(*.f64 x (*.f64 y (/.f64 1 z)))
5.9b
(*.f64 x (/.f64 y z))
5.9b
(/.f64 (/.f64 1 z) (/.f64 1 (*.f64 x y)))
6.1b
(/.f64 x (/.f64 z y))
Compiler

Compiled 611 to 202 computations (66.9% saved)

regimes218.0ms (10.5%)

Accuracy

Total 0.4b remaining (95.8%)

Threshold costs 0.4b (95.8%)

Counts
19 → 5
Compiler

Compiled 1408 to 808 computations (42.6% saved)

bsearch1.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02577
13177
23077

end7.0ms (0.4%)

Compiler

Compiled 168 to 81 computations (51.8% saved)

sample803.0ms (38.5%)

Algorithm
intervals
Results
221.0ms8000×body128valid
24.0ms758×body128invalid
Compiler

Compiled 140 to 81 computations (42.1% saved)

Profiling

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