Details

Time bar (total: 1.6s)

analyze82.0ms (5.1%)

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)

sample706.0ms (44.5%)

Results
675.0ms8256×body128valid
6.0ms75×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify6.0ms (0.4%)

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
10.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶10.3b
(*.f64 (*.f64 (*.f64 x 3) x) y)
Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 x 3) x)
✓9.7b
(*.f64 (*.f64 (*.f64 x 3) x) y)

series15.0ms (0.9%)

Counts
2 → 36
Calls

2 calls:

13.0ms
(*.f64 (*.f64 (*.f64 x 3) x) y)
2.0ms
(*.f64 (*.f64 x 3) x)

rewrite11.0ms (0.7%)

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 (3.8%)

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

prune51.0ms (3.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New60565
Fresh000
Picked101
Done000
Total61566
Error
0.1b
Counts
66 → 5
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
10.8b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) x) y)) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) x) y))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) x) y)))
30.0b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 3) x) y) (*.f64 (*.f64 (*.f64 x 3) x) y)) (*.f64 (*.f64 (*.f64 x 3) x) y)))
10.3b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
10.3b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 944 to 550 computations (41.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

9.0ms
(*.f64 (*.f64 x 3) (*.f64 x y))

rewrite7.0ms (0.5%)

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:

6.0ms
(*.f64 (*.f64 x 3) (*.f64 x y))

simplify79.0ms (5%)

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

prune24.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh314
Picked011
Done000
Total32537
Error
0.0b
Counts
37 → 5
Alt Table
StatusErrorProgram
29.0b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 3) (*.f64 x y)) (*.f64 (*.f64 x 3) (*.f64 x y))) (*.f64 (*.f64 x 3) (*.f64 x y))))
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
▶0.3b
(*.f64 x (*.f64 3 (*.f64 x y)))
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))) (cbrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y)))) (cbrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))))
10.3b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
Compiler

Compiled 563 to 299 computations (46.9% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series14.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(*.f64 x (*.f64 3 (*.f64 x y)))
4.0ms
(*.f64 3 (*.f64 x y))

rewrite15.0ms (1%)

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

simplify79.0ms (5%)

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

prune44.0ms (2.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New60262
Fresh033
Picked011
Done011
Total60767
Error
0.0b
Counts
67 → 7
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 x (*.f64 3 (*.f64 x y)))
27.7b
(*.f64 x (*.f64 (sqrt.f64 (*.f64 3 (*.f64 x y))) (sqrt.f64 (*.f64 3 (*.f64 x y)))))
29.0b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 3) (*.f64 x y)) (*.f64 (*.f64 x 3) (*.f64 x y))) (*.f64 (*.f64 x 3) (*.f64 x y))))
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))) (cbrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y)))) (cbrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))))
10.3b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
▶0.3b
(*.f64 x (*.f64 (*.f64 3 x) y))
Compiler

Compiled 959 to 517 computations (46.1% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series15.0ms (1%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(*.f64 x (*.f64 (*.f64 3 x) y))
6.0ms
(*.f64 (*.f64 3 x) y)

rewrite14.0ms (0.9%)

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

simplify88.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
696×fma-def_binary64
405×*-commutative_binary64
349×associate-*r/_binary64
310×associate-*l/_binary64
266×associate-/l*_binary64
Counts
91 → 61
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070961
1164853
2653853
3963851
41368851
52243851
64782851
75063851

prune42.0ms (2.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh044
Picked011
Done022
Total61768
Error
0.0b
Counts
68 → 7
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 x (*.f64 3 (*.f64 x y)))
27.7b
(*.f64 x (*.f64 (sqrt.f64 (*.f64 3 (*.f64 x y))) (sqrt.f64 (*.f64 3 (*.f64 x y)))))
29.0b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 3) (*.f64 x y)) (*.f64 (*.f64 x 3) (*.f64 x y))) (*.f64 (*.f64 x 3) (*.f64 x y))))
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))) (cbrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y)))) (cbrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))))
10.3b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
✓0.3b
(*.f64 x (*.f64 (*.f64 3 x) y))
Compiler

Compiled 852 to 488 computations (42.7% saved)

regimes122.0ms (7.7%)

Accuracy

Total 0.2b remaining (86.6%)

Threshold costs 0.2b (86.6%)

Counts
30 → 1
Compiler

Compiled 2241 to 1464 computations (34.7% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21010

end82.0ms (5.2%)

Compiler

Compiled 125 to 80 computations (36% saved)

Profiling

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