Details

Time bar (total: 2.4s)

analyze88.0ms (3.7%)

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)

sample20.0ms (0.8%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms1×body128invalid
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify8.0ms (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

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.5b
(*.f64 (*.f64 x 27) y)
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (*.f64 x 27) y)

series5.0ms (0.2%)

Counts
1 → 24
Calls

1 calls:

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

rewrite5.0ms (0.2%)

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)

simplify62.0ms (2.6%)

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 (0.9%)

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
1.4b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
0.5b
(*.f64 x (*.f64 27 y))
1.4b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 27) y)) (cbrt.f64 (*.f64 (*.f64 x 27) y))) (cbrt.f64 (*.f64 (*.f64 x 27) y)))
30.9b
(cbrt.f64 (*.f64 19683 (pow.f64 (*.f64 y x) 3)))
31.1b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 27) y) (*.f64 (*.f64 x 27) y)) (*.f64 (*.f64 x 27) y)))
▶0.3b
(*.f64 27 (*.f64 y x))
✓0.5b
(*.f64 (*.f64 x 27) y)
Compiler

Compiled 460 to 297 computations (35.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts
1 → 0
Calls

1 calls:

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

rewrite4.0ms (0.2%)

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))

simplify60.0ms (2.5%)

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

prune14.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New19120
Fresh145
Picked011
Done011
Total20727
Error
0.0b
Counts
27 → 7
Alt Table
StatusErrorProgram
30.8b
(cbrt.f64 (pow.f64 (*.f64 27 (*.f64 y x)) 3))
1.4b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶0.5b
(*.f64 x (*.f64 27 y))
1.4b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 27) y)) (cbrt.f64 (*.f64 (*.f64 x 27) y))) (cbrt.f64 (*.f64 (*.f64 x 27) y)))
30.9b
(cbrt.f64 (*.f64 19683 (pow.f64 (*.f64 y x) 3)))
✓0.3b
(*.f64 27 (*.f64 y x))
✓0.5b
(*.f64 (*.f64 x 27) y)
Compiler

Compiled 348 to 227 computations (34.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 x (*.f64 27 y))

series6.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

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

rewrite4.0ms (0.2%)

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))

simplify63.0ms (2.6%)

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

prune18.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New30030
Fresh044
Picked011
Done022
Total30737
Error
0.0b
Counts
37 → 7
Alt Table
StatusErrorProgram
30.8b
(cbrt.f64 (pow.f64 (*.f64 27 (*.f64 y x)) 3))
1.4b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓0.5b
(*.f64 x (*.f64 27 y))
▶1.4b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 27) y)) (cbrt.f64 (*.f64 (*.f64 x 27) y))) (cbrt.f64 (*.f64 (*.f64 x 27) y)))
30.9b
(cbrt.f64 (*.f64 19683 (pow.f64 (*.f64 y x) 3)))
✓0.3b
(*.f64 27 (*.f64 y x))
✓0.5b
(*.f64 (*.f64 x 27) y)
Compiler

Compiled 426 to 274 computations (35.7% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 27) y)) (cbrt.f64 (*.f64 (*.f64 x 27) y))) (cbrt.f64 (*.f64 (*.f64 x 27) y)))
✓0.5b
(*.f64 (cbrt.f64 (*.f64 (*.f64 x 27) y)) (cbrt.f64 (*.f64 (*.f64 x 27) y)))
0.5b
(*.f64 (*.f64 x 27) y)
✓8.9b
(cbrt.f64 (*.f64 (*.f64 x 27) y))

series929.0ms (38.9%)

Counts
3 → 72
Calls

3 calls:

545.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x 27) y)) (cbrt.f64 (*.f64 (*.f64 x 27) y)))
362.0ms
(cbrt.f64 (*.f64 (*.f64 x 27) y))
21.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 27) y)) (cbrt.f64 (*.f64 (*.f64 x 27) y))) (cbrt.f64 (*.f64 (*.f64 x 27) y)))

rewrite19.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
29×pow1_binary64
16×pow1/3_binary64
11×pow-prod-up_binary64
11×add-sqr-sqrt_binary64
10×add-exp-log_binary64
Counts
3 → 79
Calls

3 calls:

9.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 27) y)) (cbrt.f64 (*.f64 (*.f64 x 27) y))) (cbrt.f64 (*.f64 (*.f64 x 27) y)))
4.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 x 27) y)) (cbrt.f64 (*.f64 (*.f64 x 27) y)))
2.0ms
(cbrt.f64 (*.f64 (*.f64 x 27) y))

simplify197.0ms (8.2%)

Algorithm
1×egg-herbie
Rules
1082×fma-neg_binary64
448×exp-sum_binary64
407×exp-prod_binary64
276×exp-diff_binary64
253×unswap-sqr_binary64
Counts
151 → 125
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01402316
12812135
26461852
313921596
434671414
548731414
649861390
743381390
848801390
949821390
1050711390

prune176.0ms (7.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2641265
Fresh123
Picked011
Done033
Total2657272
Error
0b
Counts
272 → 7
Alt Table
StatusErrorProgram
1.4b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓0.5b
(*.f64 x (*.f64 27 y))
✓1.4b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 27) y)) (cbrt.f64 (*.f64 (*.f64 x 27) y))) (cbrt.f64 (*.f64 (*.f64 x 27) y)))
30.9b
(cbrt.f64 (*.f64 19683 (pow.f64 (*.f64 y x) 3)))
✓0.3b
(*.f64 27 (*.f64 y x))
✓0.5b
(*.f64 (*.f64 x 27) y)
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 27) y)) (cbrt.f64 (*.f64 (*.f64 x 27) y))) (*.f64 3 (cbrt.f64 (*.f64 x y))))
Compiler

Compiled 6304 to 4392 computations (30.3% saved)

regimes153.0ms (6.4%)

Accuracy

Total 0.3b remaining (94.4%)

Threshold costs 0.3b (94.4%)

Counts
33 → 1
Compiler

Compiled 2449 to 1843 computations (24.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
287

end6.0ms (0.3%)

Remove

(sort x y)

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample501.0ms (21%)

Algorithm
1×intervals
Results
178.0ms8000×body128valid
2.0ms88×body128invalid
Compiler

Compiled 106 to 76 computations (28.3% saved)

Profiling

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