Details

Time bar (total: 1.2s)

analyze118.0ms (9.6%)

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
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)

sample33.0ms (2.7%)

Algorithm
intervals
Symmetry

(sort x y)

Results
8.0ms256×body128valid
Compiler

Compiled 25 to 17 computations (32% saved)

simplify7.0ms (0.6%)

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 (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
12.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
12.9b
(/.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
12.4b
(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

series7.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

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

rewrite7.0ms (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))

simplify51.0ms (4.1%)

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 (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New43245
Fresh000
Picked101
Done000
Total44246
Error
0b
Counts
46 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
8.9b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
Compiler

Compiled 730 to 356 computations (51.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

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

rewrite14.0ms (1.1%)

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:

12.0ms
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

simplify92.0ms (7.5%)

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 (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New40040
Fresh011
Picked011
Done000
Total40242
Error
0b
Counts
42 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
8.9b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) 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)
8.4b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))

series16.0ms (1.3%)

Counts
2 → 48
Calls

2 calls:

10.0ms
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
5.0ms
(/.f64 (+.f64 x y) y)

rewrite20.0ms (1.6%)

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:

10.0ms
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
5.0ms
(/.f64 (+.f64 x y) y)

simplify107.0ms (8.7%)

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

prune73.0ms (6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done011
Total1232125
Error
0b
Counts
125 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
8.9b
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
Compiler

Compiled 2010 to 854 computations (57.5% saved)

regimes82.0ms (6.7%)

Accuracy

Total 0.0b remaining (42.1%)

Threshold costs 0.0b (42.1%)

Counts
9 → 1
Compiler

Compiled 286 to 208 computations (27.3% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1810
2810

end5.0ms (0.4%)

Remove

(sort x y)

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample529.0ms (43%)

Algorithm
intervals
Results
297.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 43 to 31 computations (27.9% saved)

Profiling

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