Details

Time bar (total: 1.8s)

analyze136.0ms (7.8%)

Algorithm
1×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
37.5%50%12.6%6
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample770.0ms (43.8%)

Results
732.0ms8256×body128valid
8.0ms103×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
15×associate-*l*_binary64
13×associate-*r*_binary64
8×*-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22510
33710
43510
53510

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
10.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶10.0b
(*.f64 (*.f64 (*.f64 x 3) x) y)
Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 x 3) x)
✓9.6b
(*.f64 (*.f64 (*.f64 x 3) x) y)

series16.0ms (0.9%)

Counts
2 → 36
Calls

2 calls:

14.0ms
(*.f64 (*.f64 (*.f64 x 3) x) y)
2.0ms
(*.f64 (*.f64 x 3) x)

rewrite10.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
9×cbrt-unprod_binary64
9×prod-exp_binary64
Counts
2 → 43
Calls

2 calls:

5.0ms
(*.f64 (*.f64 (*.f64 x 3) x) y)
4.0ms
(*.f64 (*.f64 x 3) x)

simplify61.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
440×associate-*r/_binary64
375×associate-*l/_binary64
339×*-commutative_binary64
290×fma-def_binary64
282×associate-/l*_binary64
Counts
79 → 65
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071876
1161768
2584759
3876757
41256757
52112757
64966757

prune53.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New61465
Fresh000
Picked011
Done000
Total61566
Error
0.1b
Counts
66 → 5
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
✓10.0b
(*.f64 (*.f64 (*.f64 x 3) x) y)
10.0b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
9.7b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
10.1b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x))) y)
Compiler

Compiled 879 to 508 computations (42.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))

series10.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

10.0ms
(*.f64 (*.f64 x 3) (*.f64 x y))

rewrite12.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
13×add-cbrt-cube_binary64
13×add-exp-log_binary64
13×pow1_binary64
8×cbrt-unprod_binary64
8×prod-exp_binary64
Counts
1 → 24
Calls

1 calls:

10.0ms
(*.f64 (*.f64 x 3) (*.f64 x y))

simplify74.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
395×distribute-rgt-in_binary64
362×distribute-lft-in_binary64
340×associate-+l+_binary64
315×*-commutative_binary64
265×sqr-pow_binary64
Counts
48 → 32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051607
1126517
2460517
3693517
4986517
51692517
63166517
74660517
84916517

prune23.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New30232
Fresh213
Picked011
Done011
Total32537
Error
0.0b
Counts
37 → 5
Alt Table
StatusErrorProgram
✓10.0b
(*.f64 (*.f64 (*.f64 x 3) x) y)
19.5b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))))
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
▶0.2b
(*.f64 x (*.f64 3 (*.f64 x y)))
9.7b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 502 to 265 computations (47.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (*.f64 3 (*.f64 x y)))
✓0.3b
(*.f64 3 (*.f64 x y))

series15.0ms (0.8%)

Counts
2 → 48
Calls

2 calls:

10.0ms
(*.f64 x (*.f64 3 (*.f64 x y)))
5.0ms
(*.f64 3 (*.f64 x y))

rewrite14.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
9×cbrt-unprod_binary64
9×prod-exp_binary64
Counts
2 → 43
Calls

2 calls:

7.0ms
(*.f64 3 (*.f64 x y))
5.0ms
(*.f64 x (*.f64 3 (*.f64 x y)))

simplify71.0ms (4%)

Algorithm
1×egg-herbie
Rules
344×*-commutative_binary64
339×associate-+l+_binary64
329×associate-*r/_binary64
308×associate-*l/_binary64
268×log-div_binary64
Counts
91 → 62
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067956
1150848
2519848
3801846
41133846
51889846
64731846
75047846

prune49.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New57562
Fresh112
Picked101
Done022
Total59867
Error
0.0b
Counts
67 → 8
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
19.5b
(*.f64 (sqrt.f64 (*.f64 x (*.f64 3 (*.f64 x y)))) (sqrt.f64 (*.f64 x (*.f64 3 (*.f64 x y)))))
▶0.2b
(*.f64 (*.f64 3 (*.f64 x y)) x)
17.6b
(*.f64 x (cbrt.f64 (*.f64 (*.f64 (*.f64 3 3) 3) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x y)))))
✓10.0b
(*.f64 (*.f64 (*.f64 x 3) x) y)
9.7b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
0.9b
(*.f64 x (*.f64 (*.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) (cbrt.f64 (*.f64 3 (*.f64 x y)))) (cbrt.f64 (*.f64 3 (*.f64 x y)))))
33.7b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 (*.f64 x y))))
Compiler

Compiled 973 to 527 computations (45.8% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 3 (*.f64 x y)) x)
0.3b
(*.f64 3 (*.f64 x y))

series11.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

11.0ms
(*.f64 (*.f64 3 (*.f64 x y)) x)

rewrite7.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
10×add-cbrt-cube_binary64
10×add-exp-log_binary64
10×pow1_binary64
6×cbrt-unprod_binary64
6×prod-exp_binary64
Counts
1 → 23
Calls

1 calls:

5.0ms
(*.f64 (*.f64 3 (*.f64 x y)) x)

simplify81.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
702×fma-def_binary64
347×sqr-pow_binary64
320×log-div_binary64
316×*-commutative_binary64
242×associate-/l*_binary64
Counts
47 → 33
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057583
1141511
2525511
3850509
41189509
52069509
63406509
74756509
85048509

prune55.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New60262
Fresh235
Picked101
Done022
Total63770
Error
0.0b
Counts
70 → 7
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
19.5b
(*.f64 (sqrt.f64 (*.f64 x (*.f64 3 (*.f64 x y)))) (sqrt.f64 (*.f64 x (*.f64 3 (*.f64 x y)))))
0.3b
(*.f64 (*.f64 (*.f64 3 x) y) x)
0.2b
(*.f64 3 (*.f64 (*.f64 x y) x))
✓10.0b
(*.f64 (*.f64 (*.f64 x 3) x) y)
9.7b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
33.7b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 (*.f64 x y))))
Compiler

Compiled 840 to 444 computations (47.1% saved)

regimes187.0ms (10.6%)

Accuracy

Total 0.2b remaining (90.1%)

Threshold costs 0.2b (90.1%)

Counts
51 → 1
Compiler

Compiled 3065 to 2092 computations (31.7% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
1×*-lft-identity_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11510
21410

end74.0ms (4.2%)

Compiler

Compiled 95 to 63 computations (33.7% saved)

Profiling

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