Details

sample95.0ms

Algorithm

intervals

Results

41.0ms	107×	body	1280	valid
17.0ms	75×	body	640	valid
15.0ms	292×	body	80	valid
5.0ms	34×	body	320	valid
2.0ms	17×	body	160	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	64	7
2	126	7
3	212	7
4	323	7
5	864	7
6	1202	7
7	1800	7
8	4419	7
9	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l` `-commutative`
1×	`flip3-+` `flip-+`

Counts

1 → 9

Calls

1 calls:

7.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series66.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify155.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	137	90
1	382	89
2	1188	89
3	4922	87
4	5001	87

prune33.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	1	13

Merged error: 0.0b

Counts

13 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
0.0b	(* (* 0.5 (sin re)) (exp im))
0.0b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l` `*-commutative`
6×	`fma-def`
4×	`associate-r` `exp-sum`
3×	`distribute-lft-out`
2×	`sub-neg`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `exp-diff` `associate-*r/` `flip-+`

Counts

3 → 22

Calls

3 calls:

11.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
4.0ms	(* (* 0.5 (sin re)) (exp im))
5.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
37.0ms	(* (* 0.5 (sin re)) (exp im))
46.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify117.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	190	167
1	689	151
2	3315	144
3	5001	143

prune85.0ms

Filtered

31 candidates to 25 candidates (80.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0b

Counts

32 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (exp im))
0.0b	(fma (exp (- 0.0 im)) (* 0.5 (sin re)) (* (* 0.5 (sin re)) (exp im)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

2 → 4

Calls

2 calls:

4.0ms	(* (* 0.5 (sin re)) (exp im))
1.0ms	(fma (exp (- 0.0 im)) (* 0.5 (sin re)) (* (* 0.5 (sin re)) (exp im)))

series142.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (* 0.5 (sin re)) (exp im))
101.0ms	(fma (exp (- 0.0 im)) (* 0.5 (sin re)) (* (* 0.5 (sin re)) (exp im)))

simplify80.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	108	51
1	267	45
2	738	45
3	2801	43
4	5002	43

prune24.0ms

Filtered

10 candidates to 8 candidates (80.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	10	2	12

Merged error: 0b

Counts

12 → 2

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	2964×	body	1280	valid
584.0ms	2510×	body	640	valid
435.0ms	8573×	body	80	valid
183.0ms	1203×	body	320	valid
60.0ms	582×	body	160	valid