Details

Time bar (total: 1.3s)

analyze87.0ms (6.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
37.5%62.4%0.1%4
56.2%43.7%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample678.0ms (53.4%)

Symmetry

(sort x y)

Results
635.0ms8256×body128valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify10.0ms (0.8%)

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
16.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
16.0b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
16.0b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

series8.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

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

rewrite8.0ms (0.6%)

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))

simplify54.0ms (4.3%)

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

prune24.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New43245
Fresh000
Picked101
Done000
Total44246
Error
0b
Counts
46 → 2
Alt Table
StatusErrorProgram
8.6b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 730 to 356 computations (51.2% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.8%)

Counts
1 → 24
Calls

1 calls:

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

rewrite12.0ms (0.9%)

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))

simplify92.0ms (7.2%)

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

prune21.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New40040
Fresh011
Picked011
Done000
Total40242
Error
0b
Counts
42 → 2
Alt Table
StatusErrorProgram
8.6b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 566 to 416 computations (26.5% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x y) y)
8.6b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))

series13.0ms (1.1%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
5.0ms
(/.f64 (+.f64 x y) y)

rewrite21.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity_binary64
38×add-sqr-sqrt_binary64
37×times-frac_binary64
26×add-cube-cbrt_binary64
16×associate-*r*_binary64
Counts
2 → 90
Calls

2 calls:

11.0ms
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
5.0ms
(/.f64 (+.f64 x y) y)

simplify80.0ms (6.3%)

Algorithm
egg-herbie
Rules
924×distribute-rgt-in_binary64
670×associate-*l/_binary64
489×associate-/l*_binary64
464×fma-def_binary64
303×*-commutative_binary64
Counts
138 → 123
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01431865
13851697
213681651
338891651
457621651

prune51.0ms (4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done011
Total1232125
Error
0b
Counts
125 → 2
Alt Table
StatusErrorProgram
8.6b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
Compiler

Compiled 2010 to 854 computations (57.5% saved)

regimes34.0ms (2.6%)

Accuracy

Total 0.0b remaining (36.9%)

Threshold costs 0.0b (36.9%)

Counts
10 → 1
Compiler

Compiled 352 to 238 computations (32.4% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
11516
21416

end48.0ms (3.8%)

Remove

(sort x y)

Compiler

Compiled 72 to 58 computations (19.4% saved)

Profiling

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