Details

Time bar (total: 1.4s)

analyze1.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 10 to 7 computations (30% saved)

sample512.0ms (36.2%)

Results
483.0ms8256×body128valid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify7.0ms (0.5%)

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
6.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶6.5b
(*.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
✓0.2b
(*.f64 (*.f64 x 3) x)
✓6.4b
(*.f64 (*.f64 (*.f64 x 3) x) y)

series13.0ms (0.9%)

Counts
2 → 36
Calls

2 calls:

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

rewrite13.0ms (0.9%)

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:

7.0ms
(*.f64 (*.f64 (*.f64 x 3) x) y)
4.0ms
(*.f64 (*.f64 x 3) x)

simplify61.0ms (4.3%)

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

prune59.0ms (4.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New59665
Fresh000
Picked101
Done000
Total60666
Error
0.0b
Counts
66 → 6
Alt Table
StatusErrorProgram
▶0.2b
(*.f64 (*.f64 x 3) (*.f64 x y))
6.9b
(*.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)))
6.5b
(*.f64 (*.f64 x (*.f64 3 x)) y)
6.6b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x))) y)
6.5b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
6.5b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 944 to 552 computations (41.5% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

10.0ms
(*.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:

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

simplify73.0ms (5.2%)

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

prune26.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh235
Picked011
Done000
Total32638
Error
0.0b
Counts
38 → 6
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 3) (*.f64 x y))
▶0.2b
(*.f64 x (*.f64 3 (*.f64 x y)))
28.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))))
6.6b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x))) y)
6.5b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
6.5b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 545 to 297 computations (45.5% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (*.f64 3 (*.f64 x y)))
✓0.3b
(*.f64 3 (*.f64 x y))

series15.0ms (1.1%)

Counts
2 → 48
Calls

2 calls:

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

rewrite13.0ms (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:

7.0ms
(*.f64 x (*.f64 3 (*.f64 x y)))
4.0ms
(*.f64 3 (*.f64 x y))

simplify77.0ms (5.4%)

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

prune51.0ms (3.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New59362
Fresh134
Picked011
Done011
Total60868
Error
0b
Counts
68 → 8
Alt Table
StatusErrorProgram
▶0.2b
(*.f64 x (*.f64 (*.f64 3 x) y))
0.4b
(*.f64 x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 x y))))
0.3b
(*.f64 x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 x y))))
✓0.2b
(*.f64 (*.f64 x 3) (*.f64 x y))
✓0.2b
(*.f64 x (*.f64 3 (*.f64 x y)))
28.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))))
6.6b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x))) y)
6.5b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 947 to 525 computations (44.6% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (*.f64 (*.f64 3 x) y))
✓0.2b
(*.f64 (*.f64 3 x) y)

series15.0ms (1%)

Counts
2 → 48
Calls

2 calls:

10.0ms
(*.f64 x (*.f64 (*.f64 3 x) y))
4.0ms
(*.f64 (*.f64 3 x) y)

rewrite12.0ms (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:

7.0ms
(*.f64 x (*.f64 (*.f64 3 x) y))
4.0ms
(*.f64 (*.f64 3 x) y)

simplify90.0ms (6.4%)

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

prune50.0ms (3.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh055
Picked011
Done022
Total61869
Error
0b
Counts
69 → 8
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 x (*.f64 (*.f64 3 x) y))
0.4b
(*.f64 x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 x y))))
0.3b
(*.f64 x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 x y))))
✓0.2b
(*.f64 (*.f64 x 3) (*.f64 x y))
✓0.2b
(*.f64 x (*.f64 3 (*.f64 x y)))
28.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))))
6.6b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x))) y)
6.5b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 846 to 492 computations (41.8% saved)

regimes175.0ms (12.4%)

Accuracy

Total 0.2b remaining (90.7%)

Threshold costs 0.2b (90.7%)

Counts
44 → 1
Compiler

Compiled 2858 to 1928 computations (32.5% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21010

end111.0ms (7.9%)

Compiler

Compiled 119 to 84 computations (29.4% saved)

Profiling

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