Details

Time bar (total: 1.4s)

analyze4.0ms (0.3%)

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)

sample518.0ms (36.8%)

Infinites
24.7% of outputs are infinite.
Results
465.0ms8256×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
8.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶8.3b
(*.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)
✓8.3b
(*.f64 (*.f64 (*.f64 x 3) x) y)

series13.0ms (1%)

Counts
2 → 36
Calls

2 calls:

11.0ms
(*.f64 (*.f64 (*.f64 x 3) x) y)
2.0ms
(*.f64 (*.f64 x 3) x)

rewrite11.0ms (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:

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

simplify62.0ms (4.4%)

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

prune55.0ms (3.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New59665
Fresh000
Picked011
Done000
Total59766
Error
0.1b
Counts
66 → 7
Alt Table
StatusErrorProgram
8.3b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
8.3b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
8.7b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) x)) (cbrt.f64 (*.f64 (*.f64 x 3) x))) (cbrt.f64 (*.f64 (*.f64 x 3) x))) y)
21.5b
(*.f64 (cbrt.f64 (*.f64 27 (pow.f64 x 6))) y)
▶0.2b
(*.f64 (*.f64 x 3) (*.f64 x y))
✓8.3b
(*.f64 (*.f64 (*.f64 x 3) x) y)
8.6b
(*.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)))
Compiler

Compiled 969 to 572 computations (41% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.9%)

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:

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

simplify75.0ms (5.3%)

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

prune27.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New30232
Fresh235
Picked011
Done011
Total32739
Error
0.0b
Counts
39 → 7
Alt Table
StatusErrorProgram
26.7b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))))
8.3b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
▶0.2b
(*.f64 x (*.f64 3 (*.f64 x y)))
8.3b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
8.7b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) x)) (cbrt.f64 (*.f64 (*.f64 x 3) x))) (cbrt.f64 (*.f64 (*.f64 x 3) x))) y)
✓0.2b
(*.f64 (*.f64 x 3) (*.f64 x y))
✓8.3b
(*.f64 (*.f64 (*.f64 x 3) x) y)
Compiler

Compiled 568 to 313 computations (44.9% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series15.0ms (1%)

Counts
2 → 48
Calls

2 calls:

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

rewrite11.0ms (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:

6.0ms
(*.f64 x (*.f64 3 (*.f64 x y)))
3.0ms
(*.f64 3 (*.f64 x y))

simplify75.0ms (5.3%)

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

prune55.0ms (3.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New57562
Fresh314
Picked011
Done022
Total60969
Error
0.0b
Counts
69 → 9
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 3) (*.f64 x y))
▶0.2b
(*.f64 x (*.f64 (*.f64 3 x) y))
✓8.3b
(*.f64 (*.f64 (*.f64 x 3) x) y)
0.4b
(*.f64 x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 x y))))
✓0.2b
(*.f64 x (*.f64 3 (*.f64 x y)))
8.3b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
28.2b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 (*.f64 x y))))
13.9b
(*.f64 x (cbrt.f64 (*.f64 (*.f64 (*.f64 3 (*.f64 x y)) (*.f64 3 (*.f64 x y))) (*.f64 3 (*.f64 x y)))))
29.6b
(*.f64 x (exp.f64 (log.f64 (*.f64 3 (*.f64 y x)))))
Compiler

Compiled 944 to 515 computations (45.4% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series17.0ms (1.2%)

Counts
2 → 48
Calls

2 calls:

10.0ms
(*.f64 x (*.f64 (*.f64 3 x) y))
7.0ms
(*.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:

6.0ms
(*.f64 x (*.f64 (*.f64 3 x) y))
4.0ms
(*.f64 (*.f64 3 x) y)

simplify87.0ms (6.2%)

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

prune49.0ms (3.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New61061
Fresh055
Picked011
Done033
Total61970
Error
0.0b
Counts
70 → 9
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 3) (*.f64 x y))
✓0.2b
(*.f64 x (*.f64 (*.f64 3 x) y))
✓8.3b
(*.f64 (*.f64 (*.f64 x 3) x) y)
0.4b
(*.f64 x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 x y))))
✓0.2b
(*.f64 x (*.f64 3 (*.f64 x y)))
8.3b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
28.2b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 (*.f64 x y))))
13.9b
(*.f64 x (cbrt.f64 (*.f64 (*.f64 (*.f64 3 (*.f64 x y)) (*.f64 3 (*.f64 x y))) (*.f64 3 (*.f64 x y)))))
29.6b
(*.f64 x (exp.f64 (log.f64 (*.f64 3 (*.f64 y x)))))
Compiler

Compiled 849 to 489 computations (42.4% saved)

regimes132.0ms (9.4%)

Accuracy

Total 0.2b remaining (91.2%)

Threshold costs 0.2b (91.2%)

Counts
34 → 1
Compiler

Compiled 2453 to 1639 computations (33.2% saved)

simplify5.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21010

end141.0ms (10.1%)

Compiler

Compiled 122 to 82 computations (32.8% saved)

Profiling

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