Details

sample91.0ms

Algorithm

intervals

Results

35.0ms	90×	body	1280	valid
17.0ms	73×	body	640	valid
14.0ms	281×	body	80	valid
6.0ms	37×	body	320	valid
3.0ms	29×	body	160	valid

simplify70.0ms

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	4421	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: 0.5b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

10.0ms	(+ (exp (- 0.0 im)) (exp im))
17.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
70.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	277	376
1	1271	319
2	5001	317

prune277.0ms

Filtered

59 candidates to 45 candidates (76.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	4	60

Merged error: 0.5b

Counts

60 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`fma-def`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `exp-sum`
9×	`prod-diff`
4×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

10.0ms	(+ (exp (- 0.0 im)) (exp im))
15.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp (- 0.0 im)) (exp im))
52.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

simplify107.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	224	338
1	868	300
2	4147	297
3	5001	295

prune150.0ms

Filtered

59 candidates to 47 candidates (79.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	59	4	63

Merged error: 0.5b

Counts

63 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp im)))
0.2b	(* (sin re) (exp (- 0.0 im)))
0.3b	(* (sin re) (exp im))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`exp-sum`
9×	`prod-diff`
7×	`pow1` `add-cbrt-cube`
6×	`associate-l`
5×	`add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

10.0ms	(+ (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp im)))
10.0ms	(* (sin re) (exp (- 0.0 im)))
5.0ms	(* (sin re) (exp im))

series133.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp im)))
32.0ms	(* (sin re) (exp (- 0.0 im)))
31.0ms	(* (sin re) (exp im))

simplify43.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	341	511
1	1255	435
2	5002	430

prune174.0ms

Filtered

76 candidates to 56 candidates (73.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	75	5	80

Merged error: 0.3b

Counts

80 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (pow im 4) 1/12 (fma im im 2))
0.0b	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 32

Calls

2 calls:

1.0ms	(fma (pow im 4) 1/12 (fma im im 2))
5.0ms	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

series171.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(fma (pow im 4) 1/12 (fma im im 2))
124.0ms	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

simplify35.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	193	281
1	939	234
2	5001	234

prune79.0ms

Filtered

38 candidates to 25 candidates (65.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	38	5	43

Merged error: 0.3b

Counts

43 → 5

regimes125.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	9
1	16	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	2869×	body	1280	valid
565.0ms	2415×	body	640	valid
449.0ms	8533×	body	80	valid
201.0ms	1287×	body	320	valid
61.0ms	579×	body	160	valid