Details

Time bar (total: 4.7s)

analyze52.0ms (1.1%)

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
25%74.9%0.1%4
56.2%43.7%0.1%5
65.6%34.3%0.1%6
79.6%20.3%0.1%7
83.5%16.4%0.1%8
90.1%9.8%0.1%9
91.9%8%0.1%10
95.1%4.8%0.1%11
96%4%0.1%12
97.5%2.4%0.1%13
97.9%2%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (23.3%)

Results
787.0ms8255×body128valid
0.0msbody512valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify275.0ms (5.9%)

Algorithm
egg-herbie
Rules
1222×fma-neg_binary64
983×fma-def_binary64
688×div-sub_binary64
423×sub-neg_binary64
412×distribute-rgt-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11813
23513
37413
415113
524513
664113
7112513
8215813
9272913
10303713
11299513
12304913
13306313
14356913
15355913
16355913
17355913
18355913
19355913
20365513
21370313
22378513
23359313

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series20.0ms (0.4%)

Counts
2 → 48
Calls

2 calls:

17.0ms
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
3.0ms
(-.f64 2 (+.f64 x y))

rewrite23.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity_binary64
52×add-sqr-sqrt_binary64
30×times-frac_binary64
24×add-cube-cbrt_binary64
21×distribute-lft-out--_binary64
Counts
2 → 97
Calls

2 calls:

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

simplify90.0ms (1.9%)

Algorithm
egg-herbie
Rules
518×times-frac_binary64
407×distribute-rgt-in_binary64
283×cancel-sign-sub-inv_binary64
236×sub-neg_binary64
138×distribute-neg-in_binary64
Counts
145 → 163
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02723067
17142924
224852754
350752754

prune121.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1603163
Fresh000
Picked011
Done000
Total1604164
Error
0b
Counts
164 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
6.7b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
40.7b
(-.f64 (*.f64 (/.f64 y x) (+.f64 2 (/.f64 6 x))) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))))
39.1b
(-.f64 (+.f64 (/.f64 2 y) (+.f64 1 (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 4 (*.f64 y y))))) (*.f64 (/.f64 x y) (+.f64 2 (/.f64 6 y))))
Compiler

Compiled 3728 to 1796 computations (51.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
0.0b
(*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
0.0b
(*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
6.7b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))

series195.0ms (4.2%)

Counts
3 → 72
Calls

3 calls:

104.0ms
(*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
54.0ms
(*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
36.0ms
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))

rewrite164.0ms (3.5%)

Algorithm
rewrite-expression-head
Rules
548×*-un-lft-identity_binary64
263×times-frac_binary64
236×add-sqr-sqrt_binary64
180×distribute-lft-out--_binary64
90×swap-sqr_binary64
Counts
3 → 300
Calls

3 calls:

38.0ms
(*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
28.0ms
(*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
25.0ms
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))

simplify257.0ms (5.5%)

Algorithm
egg-herbie
Rules
794×fma-def_binary64
547×times-frac_binary64
256×*-commutative_binary64
248×+-commutative_binary64
248×associate-*r/_binary64
Counts
372 → 385
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090818440
1304915668
2496715668

prune674.0ms (14.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New7120712
Fresh022
Picked011
Done011
Total7124716
Error
0b
Counts
716 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
6.7b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
40.7b
(-.f64 (*.f64 (/.f64 y x) (+.f64 2 (/.f64 6 x))) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))))
39.1b
(-.f64 (+.f64 (/.f64 2 y) (+.f64 1 (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 4 (*.f64 y y))))) (*.f64 (/.f64 x y) (+.f64 2 (/.f64 6 y))))
Compiler

Compiled 34830 to 17422 computations (50% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 x y) (+.f64 2 (/.f64 6 y)))
0.1b
(/.f64 4 (*.f64 y y))
0.2b
(*.f64 (/.f64 x y) (/.f64 x y))
6.8b
(-.f64 (+.f64 (/.f64 2 y) (+.f64 1 (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 4 (*.f64 y y))))) (*.f64 (/.f64 x y) (+.f64 2 (/.f64 6 y))))

series93.0ms (2%)

Counts
4 → 84
Calls

4 calls:

38.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
37.0ms
(-.f64 (+.f64 (/.f64 2 y) (+.f64 1 (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 4 (*.f64 y y))))) (*.f64 (/.f64 x y) (+.f64 2 (/.f64 6 y))))
15.0ms
(*.f64 (/.f64 x y) (+.f64 2 (/.f64 6 y)))
2.0ms
(/.f64 4 (*.f64 y y))

rewrite52.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt_binary64
56×*-un-lft-identity_binary64
53×times-frac_binary64
44×add-cube-cbrt_binary64
26×associate-*l*_binary64
Counts
4 → 182
Calls

4 calls:

11.0ms
(-.f64 (+.f64 (/.f64 2 y) (+.f64 1 (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 4 (*.f64 y y))))) (*.f64 (/.f64 x y) (+.f64 2 (/.f64 6 y))))
8.0ms
(*.f64 (/.f64 x y) (+.f64 2 (/.f64 6 y)))
8.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
4.0ms
(/.f64 4 (*.f64 y y))

simplify219.0ms (4.7%)

Algorithm
egg-herbie
Rules
442×distribute-rgt-in_binary64
423×distribute-lft-in_binary64
249×associate-*r/_binary64
240×associate-*l/_binary64
202×fma-def_binary64
Counts
266 → 296
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04029036
113858302
246568251
349818251
449748251

prune267.0ms (5.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2960296
Fresh011
Picked011
Done022
Total2964300
Error
0b
Counts
300 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
6.7b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
40.7b
(-.f64 (*.f64 (/.f64 y x) (+.f64 2 (/.f64 6 x))) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))))
39.1b
(-.f64 (+.f64 (/.f64 2 y) (+.f64 1 (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 4 (*.f64 y y))))) (*.f64 (/.f64 x y) (+.f64 2 (/.f64 6 y))))
Compiler

Compiled 15753 to 8040 computations (49% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 y x) (+.f64 2 (/.f64 6 x)))
0.2b
(*.f64 (/.f64 y x) (/.f64 y x))
0.6b
(/.f64 4 (*.f64 x x))
7.5b
(-.f64 (*.f64 (/.f64 y x) (+.f64 2 (/.f64 6 x))) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))))

series86.0ms (1.8%)

Counts
4 → 84
Calls

4 calls:

38.0ms
(-.f64 (*.f64 (/.f64 y x) (+.f64 2 (/.f64 6 x))) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))))
32.0ms
(*.f64 (/.f64 y x) (/.f64 y x))
13.0ms
(*.f64 (/.f64 y x) (+.f64 2 (/.f64 6 x)))
3.0ms
(/.f64 4 (*.f64 x x))

rewrite50.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt_binary64
53×times-frac_binary64
46×*-un-lft-identity_binary64
44×add-cube-cbrt_binary64
26×associate-*l*_binary64
Counts
4 → 156
Calls

4 calls:

9.0ms
(-.f64 (*.f64 (/.f64 y x) (+.f64 2 (/.f64 6 x))) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))))
8.0ms
(*.f64 (/.f64 y x) (+.f64 2 (/.f64 6 x)))
8.0ms
(*.f64 (/.f64 y x) (/.f64 y x))
3.0ms
(/.f64 4 (*.f64 x x))

simplify233.0ms (5%)

Algorithm
egg-herbie
Rules
683×times-frac_binary64
561×fma-neg_binary64
259×associate-*l*_binary64
236×associate-*r*_binary64
222×associate-*l/_binary64
Counts
240 → 249
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02925030
18594343
228724005
347914005
449514005

prune205.0ms (4.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2490249
Fresh000
Picked011
Done033
Total2494253
Error
0b
Counts
253 → 4
Alt Table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
6.7b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
40.7b
(-.f64 (*.f64 (/.f64 y x) (+.f64 2 (/.f64 6 x))) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))))
39.1b
(-.f64 (+.f64 (/.f64 2 y) (+.f64 1 (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 4 (*.f64 y y))))) (*.f64 (/.f64 x y) (+.f64 2 (/.f64 6 y))))
Compiler

Compiled 9724 to 5034 computations (48.2% saved)

regimes395.0ms (8.4%)

Accuracy

Total 0.0b remaining (44.4%)

Threshold costs 0.0b (44.4%)

Counts
123 → 1
Compiler

Compiled 7872 to 5290 computations (32.8% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
11422
22722
33722
44322
54522
64522

end73.0ms (1.6%)

Compiler

Compiled 141 to 83 computations (41.1% saved)

Profiling

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