Details

Time bar (total: 1.5s)

analyze99.0ms (6.7%)

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%40.6%34.4%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample796.0ms (53.5%)

Results
763.0ms8256×body128valid
0.0msbody128invalid
Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify7.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
11711
23211
33811
43811

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 (+.f64 x 2) (*.f64 y y))
0.0b
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
Compiler

Compiled 67 to 39 computations (41.8% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series13.0ms (0.9%)

Counts
2 → 36
Calls

2 calls:

10.0ms
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
2.0ms
(+.f64 (*.f64 x 2) (*.f64 x x))

rewrite9.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
fma-def_binary64
sum-log_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
Counts
2 → 34
Calls

2 calls:

5.0ms
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
3.0ms
(+.f64 (*.f64 x 2) (*.f64 x x))

simplify77.0ms (5.2%)

Algorithm
egg-herbie
Rules
800×fma-neg_binary64
465×cancel-sign-sub-inv_binary64
438×fma-def_binary64
410×distribute-rgt-out_binary64
328×associate-*l*_binary64
Counts
70 → 64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061804
1210695
2687686
32722684
44555684
54959684

prune42.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New63164
Fresh011
Picked011
Done000
Total63366
Error
0b
Counts
66 → 3
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (+.f64 x 2) (*.f64 y y))
0.0b
(fma.f64 y y (*.f64 x (+.f64 2 x)))
0.0b
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
Compiler

Compiled 1069 to 536 computations (49.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.6%)

Counts
2 → 36
Calls

2 calls:

7.0ms
(fma.f64 y y (*.f64 x (+.f64 2 x)))
2.0ms
(*.f64 x (+.f64 2 x))

rewrite6.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
associate-*r*_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
2 → 35
Calls

2 calls:

4.0ms
(*.f64 x (+.f64 2 x))
0.0ms
(fma.f64 y y (*.f64 x (+.f64 2 x)))

simplify101.0ms (6.8%)

Algorithm
egg-herbie
Rules
517×associate-+r+_binary64
510×+-commutative_binary64
492×unswap-sqr_binary64
456×associate-+l+_binary64
420×distribute-rgt-out_binary64
Counts
71 → 58
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063711
1144654
2457654
31448654
42480654
53931654
64701654
74963654
84809654

prune39.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh011
Picked011
Done011
Total58361
Error
0b
Counts
61 → 3
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (+.f64 x 2) (*.f64 y y))
0.0b
(fma.f64 y y (*.f64 x (+.f64 2 x)))
0.0b
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
Compiler

Compiled 769 to 427 computations (44.5% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

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

simplify71.0ms (4.8%)

Algorithm
egg-herbie
Rules
557×unswap-sqr_binary64
549×distribute-rgt-in_binary64
545×distribute-lft-in_binary64
273×associate-*l*_binary64
246×associate-*r*_binary64
Counts
34 → 28
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023379
139354
296354
3372354
42314354
52693354
63650354
74663354
84933354

prune14.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done022
Total28331
Error
0b
Counts
31 → 3
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (+.f64 x 2) (*.f64 y y))
0.0b
(fma.f64 y y (*.f64 x (+.f64 2 x)))
0.0b
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
Compiler

Compiled 343 to 187 computations (45.5% saved)

regimes131.0ms (8.8%)

Accuracy

Total 0.0b remaining (89.1%)

Threshold costs 0.0b (89.1%)

Counts
27 → 1
Compiler

Compiled 1525 to 962 computations (36.9% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11014
21014

end48.0ms (3.2%)

Compiler

Compiled 57 to 34 computations (40.4% saved)

Profiling

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