Details

Time bar (total: 2.2s)

analyze61.0ms (2.8%)

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)

sample718.0ms (33.1%)

Symmetry

(sort x y)

Results
679.0ms8256×body128valid
7.0ms89×body128invalid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify9.0ms (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 (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.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)

simplify89.0ms (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

prune27.0ms (1.2%)

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
▶0.2b
(*.f64 27 (*.f64 y x))
16.6b
(*.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))
0.5b
(*.f64 x (*.f64 27 y))
✓0.2b
(*.f64 (*.f64 x 27) y)
29.1b
(cbrt.f64 (*.f64 19683 (pow.f64 (*.f64 y x) 3)))
Compiler

Compiled 398 to 251 computations (36.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts
1 → 0
Calls

1 calls:

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

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-*l*_binary64
3×cbrt-unprod_binary64
Counts
1 → 20
Calls

1 calls:

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

simplify90.0ms (4.2%)

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

prune17.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New20020
Fresh044
Picked011
Done011
Total20626
Error
0.0b
Counts
26 → 6
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 27 (*.f64 y x))
16.6b
(*.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))
▶0.5b
(*.f64 x (*.f64 27 y))
✓0.2b
(*.f64 (*.f64 x 27) y)
29.1b
(cbrt.f64 (*.f64 19683 (pow.f64 (*.f64 y x) 3)))
Compiler

Compiled 306 to 193 computations (36.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts
1 → 24
Calls

1 calls:

5.0ms
(*.f64 x (*.f64 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-*l*_binary64
3×cbrt-unprod_binary64
Counts
1 → 20
Calls

1 calls:

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

simplify67.0ms (3.1%)

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 (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New30030
Fresh033
Picked011
Done022
Total30636
Error
0.0b
Counts
36 → 6
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 27 (*.f64 y x))
16.6b
(*.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))
✓0.5b
(*.f64 x (*.f64 27 y))
✓0.2b
(*.f64 (*.f64 x 27) y)
29.1b
(cbrt.f64 (*.f64 19683 (pow.f64 (*.f64 y x) 3)))
Compiler

Compiled 384 to 240 computations (37.5% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓0.3b
(*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
✓0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓0.6b
(cbrt.f64 y)

series520.0ms (23.9%)

Counts
4 → 72
Calls

4 calls:

425.0ms
(*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
40.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
35.0ms
(cbrt.f64 y)
19.0ms
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))

rewrite29.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
41×pow1_binary64
36×add-exp-log_binary64
23×pow-prod-down_binary64
23×add-sqr-sqrt_binary64
22×cbrt-unprod_binary64
Counts
4 → 111
Calls

4 calls:

11.0ms
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
6.0ms
(*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
4.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)

simplify121.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
854×fma-def_binary64
649×unswap-sqr_binary64
587×*-commutative_binary64
432×sqr-pow_binary64
380×log-prod_binary64
Counts
183 → 149
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01261967
12581659
210611561
317201527
437221425
541781425
650511425

prune82.0ms (3.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1841185
Fresh022
Picked011
Done033
Total1847191
Error
0b
Counts
191 → 7
Alt Table
StatusErrorProgram
19.2b
(*.f64 (*.f64 (*.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (pow.f64 y 1/3))
✓0.2b
(*.f64 27 (*.f64 y x))
16.6b
(*.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))
✓0.5b
(*.f64 x (*.f64 27 y))
✓0.2b
(*.f64 (*.f64 x 27) y)
29.1b
(cbrt.f64 (*.f64 19683 (pow.f64 (*.f64 y x) 3)))
Compiler

Compiled 3083 to 1351 computations (56.2% saved)

regimes55.0ms (2.5%)

Accuracy

Total 0.3b remaining (95.6%)

Threshold costs 0.3b (95.6%)

Counts
12 → 1
Compiler

Compiled 652 to 454 computations (30.4% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
287

end222.0ms (10.2%)

Compiler

Compiled 99 to 68 computations (31.3% saved)

Profiling

Loading profile data...