Details

Time bar (total: 1.7s)

analyze63.0ms (3.6%)

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)

sample760.0ms (43.9%)

Symmetry

(sort x y)

Results
720.0ms8256×body128valid
7.0ms90×body128invalid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify7.0ms (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

prune3.0ms (0.2%)

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:

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

rewrite5.0ms (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 (3.6%)

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

prune21.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New24630
Fresh000
Picked011
Done000
Total24731
Error
0.0b
Counts
31 → 7
Alt Table
StatusErrorProgram
15.6b
(*.f64 (*.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
1.2b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶0.2b
(*.f64 x (*.f64 27 y))
28.8b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 27) y)) (sqrt.f64 (*.f64 (*.f64 x 27) y)))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 27) y)) (cbrt.f64 (*.f64 (*.f64 x 27) y))) (cbrt.f64 (*.f64 (*.f64 x 27) y)))
0.3b
(*.f64 27 (*.f64 y x))
✓0.2b
(*.f64 (*.f64 x 27) y)
Compiler

Compiled 452 to 289 computations (36.1% 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))

rewrite5.0ms (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))

simplify67.0ms (3.9%)

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

prune19.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New28230
Fresh145
Picked011
Done011
Total29837
Error
0.0b
Counts
37 → 8
Alt Table
StatusErrorProgram
15.6b
(*.f64 (*.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
1.2b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓0.2b
(*.f64 x (*.f64 27 y))
28.8b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 27) y)) (sqrt.f64 (*.f64 (*.f64 x 27) y)))
▶0.3b
(*.f64 27 (*.f64 y x))
✓0.2b
(*.f64 (*.f64 x 27) y)
48.4b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 27 y)))
1.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 27 y)))
Compiler

Compiled 451 to 281 computations (37.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts
1 → 0
Calls

1 calls:

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

rewrite5.0ms (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 27 (*.f64 y x))

simplify66.0ms (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 (0.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New19120
Fresh145
Picked011
Done022
Total20828
Error
0.0b
Counts
28 → 8
Alt Table
StatusErrorProgram
▶0.4b
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 y x)))
1.2b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
15.6b
(*.f64 (*.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
✓0.2b
(*.f64 x (*.f64 27 y))
28.8b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 27) y)) (sqrt.f64 (*.f64 (*.f64 x 27) y)))
✓0.3b
(*.f64 27 (*.f64 y x))
✓0.2b
(*.f64 (*.f64 x 27) y)
1.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 27 y)))
Compiler

Compiled 359 to 228 computations (36.5% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series34.0ms (1.9%)

Counts
2 → 48
Calls

2 calls:

24.0ms
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 y x)))
9.0ms
(*.f64 (sqrt.f64 27) (*.f64 y x))

rewrite47.0ms (2.7%)

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:

40.0ms
(*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 y x)))
5.0ms
(*.f64 (sqrt.f64 27) (*.f64 y x))

simplify144.0ms (8.3%)

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

prune52.0ms (3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New69271
Fresh224
Picked101
Done033
Total72779
Error
0b
Counts
79 → 7
Alt Table
StatusErrorProgram
15.6b
(*.f64 (*.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
✓0.2b
(*.f64 x (*.f64 27 y))
0.4b
(*.f64 (sqrt.f64 27) (*.f64 (*.f64 (sqrt.f64 27) y) x))
✓0.3b
(*.f64 27 (*.f64 y x))
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 27)) (*.f64 y (*.f64 x (pow.f64 (sqrt.f64 27) 3/2))))
✓0.2b
(*.f64 (*.f64 x 27) y)
1.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 27 y)))
Compiler

Compiled 1073 to 794 computations (26% saved)

regimes96.0ms (5.5%)

Accuracy

Total 0.3b remaining (98.6%)

Threshold costs 0.3b (98.6%)

Counts
20 → 1
Compiler

Compiled 1225 to 915 computations (25.3% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
287

end228.0ms (13.2%)

Compiler

Compiled 99 to 71 computations (28.3% saved)

Profiling

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