Details

Time bar (total: 1.8s)

analyze152.0ms (8.6%)

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%62.4%12.6%6
25%46.8%28.2%7
31.2%35.9%32.9%8
39%25%36%9
42.9%18.7%38.3%10
47.2%12.9%39.9%11
49.4%9.6%41.1%12
51.6%6.5%41.9%13
52.7%4.8%42.4%14
Compiler

Compiled 16 to 10 computations (37.5% saved)

sample926.0ms (52.4%)

Symmetry

(sort x y)

Results
870.0ms8256×body128valid
23.0ms185×body128invalid
Compiler

Compiled 47 to 29 computations (38.3% saved)

simplify9.0ms (0.5%)

Algorithm
egg-herbie
Rules
33×fma-def_binary64
*-commutative_binary64
+-commutative_binary64
associate-+r+_binary64
associate-+l+_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01017
11914
24512
36812
47012
57012

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (fma.f64 2 y x) (*.f64 y y))
0.0b
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y)) (*.f64 y y))
Compiler

Compiled 76 to 42 computations (44.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x (fma.f64 2 y x) (*.f64 y y))

series6.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

6.0ms
(fma.f64 x (fma.f64 2 y x) (*.f64 y y))

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 x (fma.f64 2 y x) (*.f64 y y))

simplify40.0ms (2.3%)

Algorithm
egg-herbie
Rules
824×associate-+l+_binary64
820×associate-+r+_binary64
311×distribute-lft-in_binary64
310×distribute-rgt-in_binary64
296×distribute-rgt-out_binary64
Counts
34 → 28
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025473
148376
292373
3310367
41673367
55874367

prune19.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New26228
Fresh101
Picked011
Done000
Total27330
Error
0.0b
Counts
30 → 3
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (fma.f64 2 y x) (*.f64 y y))
0.0b
(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))) (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))))
0.0b
(fma.f64 y (fma.f64 2 x y) (*.f64 x x))
Compiler

Compiled 423 to 200 computations (52.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 y (fma.f64 2 x y) (*.f64 x x))

series6.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

6.0ms
(fma.f64 y (fma.f64 2 x y) (*.f64 x x))

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 y (fma.f64 2 x y) (*.f64 x x))

simplify42.0ms (2.4%)

Algorithm
egg-herbie
Rules
824×associate-+l+_binary64
820×associate-+r+_binary64
313×distribute-lft-in_binary64
313×distribute-rgt-in_binary64
298×distribute-rgt-out_binary64
Counts
34 → 28
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025473
149373
298367
3316367
41706367
55952367

prune20.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh011
Picked101
Done011
Total28331
Error
0b
Counts
31 → 3
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (fma.f64 2 y x) (*.f64 y y))
0.0b
(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))) (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))))
0.0b
(+.f64 (*.f64 y (fma.f64 2 x y)) (*.f64 x x))
Compiler

Compiled 425 to 202 computations (52.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (fma.f64 2 x y))
0.0b
(+.f64 (*.f64 y (fma.f64 2 x y)) (*.f64 x x))

series16.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

10.0ms
(+.f64 (*.f64 y (fma.f64 2 x y)) (*.f64 x x))
6.0ms
(*.f64 y (fma.f64 2 x y))

rewrite11.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
fma-udef_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
2 → 38
Calls

2 calls:

6.0ms
(*.f64 y (fma.f64 2 x y))
3.0ms
(+.f64 (*.f64 y (fma.f64 2 x y)) (*.f64 x x))

simplify50.0ms (2.9%)

Algorithm
egg-herbie
Rules
677×associate-+r+_binary64
627×associate-+l+_binary64
308×associate-*l*_binary64
255×associate-*r*_binary64
255×fma-def_binary64
Counts
86 → 75
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0701041
1185901
2534887
31982887
45571887

prune46.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh011
Picked011
Done011
Total75378
Error
0b
Counts
78 → 3
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (fma.f64 2 y x) (*.f64 y y))
0.0b
(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))) (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))))
0.0b
(+.f64 (*.f64 y (fma.f64 2 x y)) (*.f64 x x))
Compiler

Compiled 1215 to 587 computations (51.7% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 y (fma.f64 2 x y) (*.f64 x x))
0.0b
(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))) (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))))
5.9b
(sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x)))

series14.0ms (0.8%)

Counts
2 → 48
Calls

2 calls:

7.0ms
(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))) (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))))
6.0ms
(sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x)))

rewrite11.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64
21×sqrt-prod_binary64
18×pow1_binary64
11×*-un-lft-identity_binary64
11×add-cube-cbrt_binary64
Counts
2 → 68
Calls

2 calls:

5.0ms
(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))) (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))))
1.0ms
(sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x)))

simplify102.0ms (5.8%)

Algorithm
egg-herbie
Rules
345×fma-def_binary64
343×*-commutative_binary64
341×exp-prod_binary64
308×sqr-pow_binary64
307×associate-/l*_binary64
Counts
116 → 104
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0661761
11161546
22791487
39781396
419071296
527311296
643941282
748701282

prune148.0ms (8.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1920192
Fresh000
Picked011
Done022
Total1923195
Error
0b
Counts
195 → 3
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (fma.f64 2 y x) (*.f64 y y))
0.0b
(*.f64 (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))) (sqrt.f64 (fma.f64 y (fma.f64 2 x y) (*.f64 x x))))
0.0b
(+.f64 (*.f64 y (fma.f64 2 x y)) (*.f64 x x))
Compiler

Compiled 4549 to 2166 computations (52.4% saved)

regimes61.0ms (3.4%)

Accuracy

Total 0.0b remaining (76.4%)

Threshold costs 0.0b (76.4%)

Counts
21 → 1
Compiler

Compiled 846 to 500 computations (40.9% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11014
21014

end58.0ms (3.3%)

Remove

(sort x y)

Compiler

Compiled 94 to 53 computations (43.6% saved)

Profiling

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