Details

Time bar (total: 1.7s)

analyze2.0ms (0.1%)

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

Compiled 8 to 6 computations (25% saved)

sample726.0ms (43.3%)

Infinites
12% of outputs are infinite.
Symmetry

(sort x y)

Results
674.0ms8256×body128valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify11.0ms (0.7%)

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

prune1.0ms (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)

series5.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

4.0ms
(*.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)

simplify69.0ms (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 (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27330
Fresh000
Picked011
Done000
Total27431
Error
0.0b
Counts
31 → 4
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 x 27) y)
1.0b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
0.2b
(*.f64 27 (*.f64 y x))
▶0.2b
(*.f64 x (*.f64 27 y))
Compiler

Compiled 356 to 221 computations (37.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

5.0ms
(*.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))

simplify64.0ms (3.8%)

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

prune16.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New29130
Fresh022
Picked011
Done011
Total29534
Error
0.0b
Counts
34 → 5
Alt Table
StatusErrorProgram
1.0b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 27 y)))
✓0.2b
(*.f64 (*.f64 x 27) y)
1.0b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶0.2b
(*.f64 27 (*.f64 y x))
✓0.2b
(*.f64 x (*.f64 27 y))
Compiler

Compiled 377 to 231 computations (38.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts
1 → 0
Calls

1 calls:

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

rewrite7.0ms (0.4%)

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:

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

simplify63.0ms (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

prune13.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New19120
Fresh022
Picked011
Done022
Total19625
Error
0.0b
Counts
25 → 6
Alt Table
StatusErrorProgram
1.0b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 27 y)))
▶0.4b
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 y x)))
✓0.2b
(*.f64 (*.f64 x 27) y)
1.0b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓0.2b
(*.f64 27 (*.f64 y x))
✓0.2b
(*.f64 x (*.f64 27 y))
Compiler

Compiled 307 to 192 computations (37.5% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (sqrt.f64 27) (*.f64 y x))
✓0.3b
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 y x)))

series34.0ms (2.1%)

Counts
2 → 48
Calls

2 calls:

24.0ms
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 y x)))
10.0ms
(*.f64 (sqrt.f64 27) (*.f64 y x))

rewrite15.0ms (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:

8.0ms
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 y x)))
5.0ms
(*.f64 (sqrt.f64 27) (*.f64 y x))

simplify113.0ms (6.7%)

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

prune53.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New69271
Fresh112
Picked101
Done033
Total71677
Error
0.0b
Counts
77 → 6
Alt Table
StatusErrorProgram
0.4b
(*.f64 (sqrt.f64 (sqrt.f64 27)) (*.f64 (sqrt.f64 (sqrt.f64 27)) (*.f64 (sqrt.f64 27) (*.f64 y x))))
✓0.2b
(*.f64 (*.f64 x 27) y)
1.0b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓0.2b
(*.f64 27 (*.f64 y x))
✓0.2b
(*.f64 x (*.f64 27 y))
28.5b
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 27) (*.f64 y x))) (sqrt.f64 (*.f64 (sqrt.f64 27) (*.f64 y x)))))
Compiler

Compiled 1073 to 795 computations (25.9% saved)

regimes196.0ms (11.7%)

Accuracy

Total 0.3b remaining (95.1%)

Threshold costs 0.3b (95.1%)

Counts
21 → 1
Compiler

Compiled 1242 to 948 computations (23.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
287

end234.0ms (14%)

Compiler

Compiled 99 to 72 computations (27.3% saved)

Profiling

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