Details

Time bar (total: 1.6s)

analyze63.0ms (4%)

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
50%50%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
76.5%14%9.5%9
80.4%10.1%9.5%10
82.3%6.6%11%11
84.1%4.9%11%12
85%3.2%11.8%13
85.8%2.4%11.8%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample807.0ms (51.8%)

Symmetry

(sort x y)

Results
769.0ms8256×body128valid
5.0ms69×body128invalid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2167
3167
4167

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.2b
(*.f64 (*.f64 x 27) y)
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x 27) y)

series12.0ms (0.8%)

Counts
1 → 24
Calls

1 calls:

12.0ms
(*.f64 (*.f64 x 27) y)

rewrite4.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64
6×add-exp-log_binary64
6×pow1_binary64
3×associate-*r*_binary64
3×cbrt-unprod_binary64
Counts
1 → 20
Calls

1 calls:

4.0ms
(*.f64 (*.f64 x 27) y)

simplify63.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
666×associate-*l/_binary64
617×associate-*r/_binary64
454×associate-*l*_binary64
380×*-commutative_binary64
308×associate-*r*_binary64
Counts
44 → 30
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045380
1100344
2342344
3909344
41091344
51283344
61535344
74481344
84855344

prune20.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New25530
Fresh000
Picked011
Done000
Total25631
Error
0.0b
Counts
31 → 6
Alt Table
StatusErrorProgram
0.3b
(*.f64 27 (*.f64 y x))
1.2b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
33.5b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 27) y) (*.f64 (*.f64 x 27) y)) (*.f64 (*.f64 x 27) y)))
✓0.2b
(*.f64 (*.f64 x 27) y)
▶0.2b
(*.f64 x (*.f64 27 y))
29.0b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 27) y)) (sqrt.f64 (*.f64 (*.f64 x 27) y)))
Compiler

Compiled 426 to 271 computations (36.4% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (*.f64 27 y))

series4.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

4.0ms
(*.f64 x (*.f64 27 y))

rewrite4.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64
6×add-exp-log_binary64
6×pow1_binary64
3×associate-*l*_binary64
3×cbrt-unprod_binary64
Counts
1 → 20
Calls

1 calls:

4.0ms
(*.f64 x (*.f64 27 y))

simplify62.0ms (4%)

Algorithm
1×egg-herbie
Rules
525×associate-/r/_binary64
451×associate-*l*_binary64
384×associate-/l*_binary64
372×*-commutative_binary64
301×associate-*r*_binary64
Counts
44 → 30
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042378
190342
2302342
3821342
41011342
51137342
62002342
74806342
84922342

prune20.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New29130
Fresh044
Picked011
Done011
Total29736
Error
0.0b
Counts
36 → 7
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 27 (*.f64 y x))
1.2b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
33.5b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 27) y) (*.f64 (*.f64 x 27) y)) (*.f64 (*.f64 x 27) y)))
✓0.2b
(*.f64 (*.f64 x 27) y)
1.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 27 y)))
✓0.2b
(*.f64 x (*.f64 27 y))
29.0b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 27) y)) (sqrt.f64 (*.f64 (*.f64 x 27) y)))
Compiler

Compiled 447 to 281 computations (37.1% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 27 (*.f64 y x))

series4.0ms (0.3%)

Counts
1 → 0
Calls

1 calls:

4.0ms
(*.f64 27 (*.f64 y x))

rewrite4.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64
6×add-exp-log_binary64
6×pow1_binary64
3×associate-*l*_binary64
3×cbrt-unprod_binary64
Counts
1 → 20
Calls

1 calls:

3.0ms
(*.f64 27 (*.f64 y x))

simplify59.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
495×associate-/l*_binary64
484×cube-div_binary64
484×log-div_binary64
401×*-commutative_binary64
334×associate-*l*_binary64
Counts
20 → 20
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040210
184174
2255174
3647174
4824174
5953174
61171174
71550174
82413174
93887174
105001174

prune16.0ms (1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New18220
Fresh134
Picked011
Done022
Total19827
Error
0.0b
Counts
27 → 8
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 27 (*.f64 y x))
1.2b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶0.5b
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 y x)))
29.0b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 27) y)) (sqrt.f64 (*.f64 (*.f64 x 27) y)))
✓0.2b
(*.f64 (*.f64 x 27) y)
1.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 27 y)))
✓0.2b
(*.f64 x (*.f64 27 y))
33.5b
(cbrt.f64 (pow.f64 (*.f64 27 (*.f64 y x)) 3))
Compiler

Compiled 357 to 230 computations (35.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 y x)))
✓0.3b
(*.f64 (sqrt.f64 27) (*.f64 y x))

series44.0ms (2.8%)

Counts
2 → 48
Calls

2 calls:

25.0ms
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 y x)))
19.0ms
(*.f64 (sqrt.f64 27) (*.f64 y x))

rewrite13.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
12×associate-*l*_binary64
9×cbrt-unprod_binary64
Counts
2 → 49
Calls

2 calls:

6.0ms
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 y x)))
4.0ms
(*.f64 (sqrt.f64 27) (*.f64 y x))

simplify112.0ms (7.2%)

Algorithm
1×egg-herbie
Rules
383×unswap-sqr_binary64
342×*-commutative_binary64
338×associate-+l+_binary64
326×distribute-rgt-in_binary64
291×sqr-pow_binary64
Counts
97 → 71
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067975
1163879
2556879
3859871
41168871
51833871
64012871
74659871
84999871
94933871

prune49.0ms (3.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New69271
Fresh404
Picked011
Done033
Total73679
Error
0.0b
Counts
79 → 6
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 27) y)
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 27)) (*.f64 y (*.f64 x (pow.f64 (sqrt.f64 27) 3/2))))
0.4b
(*.f64 (sqrt.f64 27) (*.f64 (*.f64 (sqrt.f64 27) y) x))
✓0.3b
(*.f64 27 (*.f64 y x))
✓0.2b
(*.f64 x (*.f64 27 y))
✓0.5b
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 y x)))
Compiler

Compiled 1059 to 785 computations (25.9% saved)

regimes91.0ms (5.9%)

Accuracy

Total 0.3b remaining (98.3%)

Threshold costs 0.3b (98.3%)

Counts
21 → 1
Compiler

Compiled 1176 to 858 computations (27% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
287

end78.0ms (5%)

Remove

(sort x y)

Compiler

Compiled 85 to 65 computations (23.5% saved)

Profiling

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