Details

analyze6.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample1.4s (60.6%)

Results

1.3s

8256×

body

128

valid

Compiler

Compiled 20 to 17 computations (15% saved)

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	4
2	8	4

prune12.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 x 1/3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x 1/3)

series2.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

2.0ms

(+.f64 x 1/3)

rewrite87.0ms (3.9%)

Algorithm

2×	batch-egg-rewrite

Rules

812×	`log1p-udef_binary64`
446×	`log1p-expm1-u_binary64`
446×	`expm1-log1p-u_binary64`
384×	`pow1_binary64`
217×	`unpow-prod-down_binary64`

Counts

1 → 46

Calls

1 calls:

86.0ms

(+.f64 x 1/3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	91	4
2	1104	4
3	4780	4
4	6173	4
0	0	0
1	0	0

simplify15.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

58 → 49

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	39
1	5	39
2	5	39

prune56.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x 1/3)
▶	22.3b	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))

Compiler

Compiled 465 to 359 computations (22.8% saved)

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))
✓	0.0b	(-.f64 1/9 (*.f64 x 1/3))
✓	0.3b	(*.f64 x 1/3)
✓	21.4b	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))

series15.0ms (0.7%)

Counts

4 → 48

Calls

4 calls:

6.0ms	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
4.0ms	(fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))
3.0ms	(-.f64 1/9 (*.f64 x 1/3))
3.0ms	(*.f64 x 1/3)

rewrite159.0ms (7%)

Algorithm

2×	batch-egg-rewrite

Rules

414×	`prod-diff_binary64`
328×	`fma-udef_binary64`
222×	`expm1-udef_binary64`
222×	`log1p-udef_binary64`
205×	`fma-neg_binary64`

Counts

4 → 113

Calls

4 calls:

155.0ms	(fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))
155.0ms	(-.f64 1/9 (*.f64 x 1/3))
155.0ms	(*.f64 x 1/3)
155.0ms	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	270	42
2	3160	36
3	4838	36
4	4808	36
5	4866	36
0	0	0
1	0	0

simplify218.0ms (9.7%)

Algorithm

1×	egg-herbie

Rules

818×	`distribute-rgt-neg-in_binary64`
557×	`sqr-pow_binary64`
541×	`associate-r_binary64`
533×	`distribute-lft-neg-in_binary64`
528×	`*-commutative_binary64`

Counts

161 → 127

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	273
1	32	249
2	52	217
3	114	217
4	253	217
5	610	217
6	1672	217
7	2697	217
8	3380	217
9	3778	217
10	2855	217
11	3126	217
12	3372	217
13	3974	217
14	4566	217
15	4669	217

prune146.0ms (6.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Error

Counts

129 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x 1/3)
✓	22.3b	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))

Compiler

Compiled 2286 to 1692 computations (26% saved)

regimes66.0ms (2.9%)

Accuracy

Total 0.0b remaining (69%)

Threshold costs 0.0b (69%)

Counts

20 → 1

Compiler

Compiled 384 to 300 computations (21.9% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	4
2	8	4

end69.0ms (3.1%)

Compiler: Compiled 27 to 20 computations (25.9% saved)

Details

analyze6.0ms (0.3%)

sample1.4s (60.6%)

simplify10.0ms (0.5%)

prune12.0ms (0.6%)

localize3.0ms (0.1%)

series2.0ms (0.1%)

rewrite87.0ms (3.9%)

simplify15.0ms (0.7%)

prune56.0ms (2.5%)

localize16.0ms (0.7%)

series15.0ms (0.7%)

rewrite159.0ms (7%)

simplify218.0ms (9.7%)

prune146.0ms (6.5%)

regimes66.0ms (2.9%)

simplify6.0ms (0.3%)

end69.0ms (3.1%)

Profiling