Details

Time bar (total: 1.7s)

analyze84.0ms (4.8%)

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)

sample781.0ms (44.6%)

Results
741.0ms8256×body128valid
8.0ms94×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify7.0ms (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
10.6b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶10.6b
(*.f64 (*.f64 (*.f64 x 3) x) y)
Compiler

Compiled 34 to 22 computations (35.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 x 3) x)
✓10.3b
(*.f64 (*.f64 (*.f64 x 3) x) y)

series13.0ms (0.7%)

Counts
2 → 36
Calls

2 calls:

10.0ms
(*.f64 (*.f64 (*.f64 x 3) x) y)
2.0ms
(*.f64 (*.f64 x 3) x)

rewrite13.0ms (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:

6.0ms
(*.f64 (*.f64 x 3) x)
5.0ms
(*.f64 (*.f64 (*.f64 x 3) x) y)

simplify62.0ms (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

prune52.0ms (3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New58765
Fresh000
Picked101
Done000
Total59766
Error
0.1b
Counts
66 → 7
Alt Table
StatusErrorProgram
10.7b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x))) y)
35.3b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (sqrt.f64 y)) (sqrt.f64 y))
11.0b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
29.2b
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y (*.f64 x x))) 3))
10.6b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
10.6b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 952 to 554 computations (41.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.8%)

Counts
1 → 24
Calls

1 calls:

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

rewrite6.0ms (0.4%)

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:

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

simplify146.0ms (8.3%)

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 (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh246
Picked011
Done000
Total32739
Error
0.0b
Counts
39 → 7
Alt Table
StatusErrorProgram
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))))
35.3b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (sqrt.f64 y)) (sqrt.f64 y))
11.0b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
10.6b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
10.6b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
▶0.3b
(*.f64 x (*.f64 3 (*.f64 x y)))
Compiler

Compiled 587 to 317 computations (46% 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))

series16.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

12.0ms
(*.f64 x (*.f64 3 (*.f64 x y)))
5.0ms
(*.f64 3 (*.f64 x y))

rewrite11.0ms (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 x (*.f64 3 (*.f64 x y)))
4.0ms
(*.f64 3 (*.f64 x y))

simplify83.0ms (4.8%)

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

prune50.0ms (2.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New58462
Fresh235
Picked011
Done011
Total60969
Error
0b
Counts
69 → 9
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 x (*.f64 (*.f64 3 x) y))
0.5b
(*.f64 x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 x y))))
35.3b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (sqrt.f64 y)) (sqrt.f64 y))
20.6b
(*.f64 x (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)))
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
10.6b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
10.6b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
✓0.3b
(*.f64 x (*.f64 3 (*.f64 x y)))
1.0b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 3 (*.f64 x y))))
Compiler

Compiled 943 to 517 computations (45.2% saved)

localize4.0ms (0.2%)

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)

series16.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

11.0ms
(*.f64 x (*.f64 (*.f64 3 x) y))
5.0ms
(*.f64 (*.f64 3 x) y)

rewrite11.0ms (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 x (*.f64 (*.f64 3 x) y))
4.0ms
(*.f64 (*.f64 3 x) y)

simplify81.0ms (4.6%)

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

prune43.0ms (2.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh066
Picked011
Done022
Total61970
Error
0b
Counts
70 → 9
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 x (*.f64 (*.f64 3 x) y))
0.5b
(*.f64 x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 x y))))
35.3b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (sqrt.f64 y)) (sqrt.f64 y))
20.6b
(*.f64 x (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)))
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
10.6b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
10.6b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
✓0.3b
(*.f64 x (*.f64 3 (*.f64 x y)))
1.0b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 3 (*.f64 x y))))
Compiler

Compiled 844 to 488 computations (42.2% saved)

regimes108.0ms (6.2%)

Accuracy

Total 0.2b remaining (92.8%)

Threshold costs 0.2b (92.8%)

Counts
29 → 1
Compiler

Compiled 1813 to 1211 computations (33.2% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21010

end106.0ms (6.1%)

Compiler

Compiled 117 to 80 computations (31.6% saved)

Profiling

Loading profile data...