Details

Time bar (total: 1.7s)

analyze153.0ms (9.3%)

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
25%74.9%0.1%5
25%74.9%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
76.5%23.4%0.1%9
76.5%23.4%0.1%10
87.8%12.1%0.1%11
87.8%12.1%0.1%12
93.8%6.1%0.1%13
93.8%6.1%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample805.0ms (48.8%)

Symmetry

(sort x y)

Results
770.0ms8256×body128valid
0.0msbody128invalid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify16.0ms (1%)

Algorithm
egg-herbie
Rules
13×associate-/r*_binary64
*-commutative_binary64
associate-/l/_binary64
associate-*r*_binary64
associate-*l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11513
22813
33913
43713
53713

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
16.4b
Counts
3 → 1
Alt Table
StatusErrorProgram
16.4b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
15.6b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

series8.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

8.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite8.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube_binary64
10×add-exp-log_binary64
*-un-lft-identity_binary64
associate-/l*_binary64
times-frac_binary64
Counts
1 → 29
Calls

1 calls:

6.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

simplify58.0ms (3.5%)

Algorithm
egg-herbie
Rules
701×fma-def_binary64
664×times-frac_binary64
522×associate-/r*_binary64
519×associate-*l*_binary64
500×distribute-rgt-in_binary64
Counts
53 → 45
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080767
1222654
2839654
33818653
45409653

prune29.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New43245
Fresh000
Picked101
Done000
Total44246
Error
0b
Counts
46 → 2
Alt Table
StatusErrorProgram
36.2b
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x y)) y))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 742 to 360 computations (51.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

series7.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

7.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

rewrite12.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity_binary64
15×times-frac_binary64
13×fma-def_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
Counts
1 → 32
Calls

1 calls:

10.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

simplify87.0ms (5.3%)

Algorithm
egg-herbie
Rules
539×distribute-rgt-out_binary64
539×times-frac_binary64
394×associate-/l/_binary64
321×fma-neg_binary64
298×distribute-rgt-in_binary64
Counts
56 → 40
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049504
1127473
2402472
31379472
42965472
54451472
64835472
75030472

prune20.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New40040
Fresh011
Picked011
Done000
Total40242
Error
0b
Counts
42 → 2
Alt Table
StatusErrorProgram
36.2b
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x y)) y))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 578 to 420 computations (27.3% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sqrt.f64 (+.f64 x y)) y)
0.1b
(/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x 2))
4.5b
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x y)) y))

series70.0ms (4.3%)

Counts
3 → 40
Calls

3 calls:

33.0ms
(/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x 2))
28.0ms
(/.f64 (sqrt.f64 (+.f64 x y)) y)
9.0ms
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x y)) y))

rewrite37.0ms (2.3%)

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity_binary64
58×times-frac_binary64
48×add-sqr-sqrt_binary64
41×sqrt-prod_binary64
40×add-cube-cbrt_binary64
Counts
3 → 145
Calls

3 calls:

15.0ms
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x y)) y))
5.0ms
(/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x 2))
4.0ms
(/.f64 (sqrt.f64 (+.f64 x y)) y)

simplify110.0ms (6.7%)

Algorithm
egg-herbie
Rules
662×associate-/r*_binary64
489×*-commutative_binary64
365×fma-def_binary64
225×associate-/r/_binary64
205×fma-neg_binary64
Counts
185 → 215
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02433573
16333287
221533276
343993274
449693274

prune86.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2150215
Fresh000
Picked011
Done011
Total2152217
Error
0b
Counts
217 → 2
Alt Table
StatusErrorProgram
36.2b
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x y)) y))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 5233 to 1875 computations (64.2% saved)

regimes77.0ms (4.6%)

Accuracy

Total 0.0b remaining (65.3%)

Threshold costs 0.0b (65.3%)

Counts
22 → 1
Compiler

Compiled 1163 to 732 computations (37.1% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
11516
21416

end47.0ms (2.9%)

Remove

(sort x y)

Compiler

Compiled 78 to 60 computations (23.1% saved)

Profiling

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