Details

analyze59.0ms (2.6%)

Algorithm

1×

Search

True	Other	False	Iter
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)

sample698.0ms (31.5%)

Symmetry

(sort x y)

Results

663.0ms	8256×	body	128	valid
6.0ms	81×	body	128	invalid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify10.0ms (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)

Iter	Nodes	Cost
0	6	7
1	10	7
2	16	7
3	16	7
4	16	7

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.4b	(.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:

New	Error	Program
✓	0.4b	(.f64 (.f64 x 27) y)

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite38.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

17× egg-rr

Counts

1 → 17

Calls

2 calls:

38.0ms	((.f64 (.f64 x 27) y))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1356	7
3	5047	7
0	0	0
1	0	0

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Counts

41 → 18

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	16	168
3	16	168
4	16	168

prune14.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Error

0.0b

Counts

19 → 5

Alt Table

Status	Error	Program
✓	0.4b	(.f64 (.f64 x 27) y)
	27.6b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
	29.0b	(pow.f64 (sqrt.f64 (.f64 (.f64 x 27) y)) 2)
	1.5b	(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3)
▶	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 243 to 178 computations (26.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 27 (.f64 y x))

series4.0ms (0.2%)

Counts

1 → 0

Calls

1 calls:

4.0ms

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

rewrite36.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

17× egg-rr

Counts

1 → 17

Calls

2 calls:

35.0ms	((.f64 27 (.f64 y x)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1358	7
3	5055	7
0	0	0
1	0	0

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune74.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	17	5	22

Error

0.0b

Counts

22 → 5

Alt Table

Status	Error	Program
✓	0.4b	(.f64 (.f64 x 27) y)
	27.6b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
	29.0b	(pow.f64 (sqrt.f64 (.f64 (.f64 x 27) y)) 2)
▶	1.5b	(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3)
✓	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 231 to 159 computations (31.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(.f64 (.f64 x 27) y)
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3)
✓	8.2b	(cbrt.f64 (.f64 (.f64 x 27) y))

series864.0ms (38.9%)

Counts

2 → 48

Calls

2 calls:

456.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
408.0ms	(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3)

rewrite44.0ms (2%)

Algorithm

2×	batch-egg-rewrite

Rules

73× egg-rr

Counts

2 → 73

Calls

2 calls:

43.0ms	((cbrt.f64 (.f64 (.f64 x 27) y)) (pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	166	16
2	1763	16
3	5103	16
0	0	0
1	0	0

simplify76.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-def_binary64`
424×	`unswap-sqr_binary64`
273×	`exp-diff_binary64`
268×	`distribute-neg-out_binary64`
267×	`associate-l_binary64`

Counts

121 → 86

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	904
1	124	904
2	215	792
3	568	448
4	1843	448
5	4611	448
6	5077	448

prune64.0ms (2.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	103	6	109

Error

0.0b

Counts

109 → 6

Alt Table

Status	Error	Program
▶	0.2b	(.f64 x (.f64 27 y))
✓	0.4b	(.f64 (.f64 x 27) y)
✓	1.5b	(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3)
✓	0.2b	(.f64 27 (.f64 y x))
	25.5b	(.f64 (.f64 (.f64 x 27) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
	23.9b	(.f64 (cbrt.f64 (.f64 (.f64 x x) 729)) (.f64 (*.f64 3 (cbrt.f64 x)) y))

Compiler

Compiled 1361 to 1002 computations (26.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 27 y))

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite38.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

17× egg-rr

Counts

1 → 17

Calls

2 calls:

38.0ms	((.f64 x (.f64 27 y)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1358	7
3	5055	7
0	0	0
1	0	0

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Counts

41 → 18

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	16	168
3	16	168
4	16	168

prune11.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	18	6	24

Error

0.0b

Counts

24 → 6

Alt Table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.4b	(.f64 (.f64 x 27) y)
✓	1.5b	(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3)
✓	0.2b	(.f64 27 (.f64 y x))
	25.5b	(.f64 (.f64 (.f64 x 27) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
	23.9b	(.f64 (cbrt.f64 (.f64 (.f64 x x) 729)) (.f64 (*.f64 3 (cbrt.f64 x)) y))

Compiler

Compiled 221 to 157 computations (29% saved)

regimes63.0ms (2.8%)

Accuracy

Total 0.3b remaining (93.4%)

Threshold costs 0.3b (93.4%)

Counts

11 → 1

Compiler

Compiled 583 to 443 computations (24% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

end73.0ms (3.3%)

Remove: (sort x y)
Compiler: Compiled 87 to 63 computations (27.6% saved)

Details

analyze59.0ms (2.6%)

sample698.0ms (31.5%)

simplify10.0ms (0.4%)

prune1.0ms (0.1%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite38.0ms (1.7%)

simplify10.0ms (0.5%)

prune14.0ms (0.6%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite36.0ms (1.6%)

simplify6.0ms (0.2%)

prune74.0ms (3.4%)

localize6.0ms (0.2%)

series864.0ms (38.9%)

rewrite44.0ms (2%)

simplify76.0ms (3.4%)

prune64.0ms (2.9%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite38.0ms (1.7%)

simplify10.0ms (0.5%)

prune11.0ms (0.5%)

regimes63.0ms (2.8%)

simplify2.0ms (0.1%)

end73.0ms (3.3%)

Profiling