Details

analyze63.0ms (3.1%)

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)

sample720.0ms (34.8%)

Symmetry

(sort x y)

Results

682.0ms	8256×	body	128	valid
7.0ms	88×	body	128	invalid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (0.3%)

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

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	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:

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

series8.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite35.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
385×	`unpow-prod-down_binary64`
298×	`log-prod_binary64`
153×	`pow2_binary64`

Counts

1 → 18

Calls

1 calls:

34.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify22.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

42 → 19

Iterations

Useful iterations: 0 (0.0ms)

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

prune13.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	16	3	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	4	20

Error

0.0b

Counts

20 → 4

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x 27) y)
	32.9b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
	1.2b	(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3)
▶	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 228 to 165 computations (27.6% 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 (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
387×	`unpow-prod-down_binary64`
299×	`log-prod_binary64`
153×	`pow2_binary64`

Counts

1 → 18

Calls

1 calls:

36.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune11.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	18	4	22

Error

0.0b

Counts

22 → 4

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x 27) y)
	32.9b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 x y) 3)))
▶	1.2b	(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3)
✓	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 216 to 145 computations (32.9% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x 27) y)
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3)
✓	11.0b	(cbrt.f64 (.f64 (.f64 x 27) y))

series654.0ms (31.6%)

Counts

2 → 48

Calls

2 calls:

348.0ms	(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3)
306.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))

rewrite48.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
369×	`log-prod_binary64`
133×	`expm1-udef_binary64`
133×	`log1p-udef_binary64`

Counts

2 → 74

Calls

2 calls:

47.0ms	(pow.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) 3)
47.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))

Iterations

Useful iterations: 0 (0.0ms)

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

simplify73.0ms (3.5%)

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

122 → 87

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	904
1	124	904
2	215	856
3	568	448
4	1843	448
5	4611	448
6	5077	448

prune53.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	106	4	110

Error

0.0b

Counts

110 → 4

Alt Table

Status	Error	Program
	1.1b	(.f64 (.f64 3 (cbrt.f64 x)) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (.f64 (*.f64 x 27) y)) 2)))
▶	0.4b	(.f64 x (.f64 27 y))
✓	0.2b	(.f64 (.f64 x 27) y)
✓	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 1364 to 1011 computations (25.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite38.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
387×	`unpow-prod-down_binary64`
299×	`log-prod_binary64`
153×	`pow2_binary64`

Counts

1 → 18

Calls

1 calls:

38.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Counts

42 → 19

Iterations

Useful iterations: 0 (0.0ms)

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

prune10.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	19	4	23

Error

0.0b

Counts

23 → 4

Alt Table

Status	Error	Program
	1.1b	(.f64 (.f64 3 (cbrt.f64 x)) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (.f64 (*.f64 x 27) y)) 2)))
✓	0.4b	(.f64 x (.f64 27 y))
✓	0.2b	(.f64 (.f64 x 27) y)
✓	0.2b	(.f64 27 (.f64 y x))

Compiler

Compiled 206 to 146 computations (29.1% saved)

regimes44.0ms (2.1%)

Accuracy

Total 0.3b remaining (90.9%)

Threshold costs 0.3b (90.9%)

Counts

8 → 1

Compiler

Compiled 352 to 270 computations (23.3% 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

end196.0ms (9.4%)

Compiler: Compiled 67 to 49 computations (26.9% saved)

Details

analyze63.0ms (3.1%)

sample720.0ms (34.8%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize3.0ms (0.1%)

series8.0ms (0.4%)

rewrite35.0ms (1.7%)

simplify22.0ms (1%)

prune13.0ms (0.6%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite36.0ms (1.7%)

simplify5.0ms (0.3%)

prune11.0ms (0.5%)

localize6.0ms (0.3%)

series654.0ms (31.6%)

rewrite48.0ms (2.3%)

simplify73.0ms (3.5%)

prune53.0ms (2.5%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite38.0ms (1.8%)

simplify10.0ms (0.5%)

prune10.0ms (0.5%)

regimes44.0ms (2.1%)

simplify2.0ms (0.1%)

end196.0ms (9.4%)

Profiling