Details

sample99.0ms

Algorithm

intervals

Results

43.0ms	103×	body	1280	valid
22.0ms	99×	body	640	valid
12.0ms	267×	body	80	valid
4.0ms	27×	body	320	valid
2.0ms	20×	body	160	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
69.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5002	294

prune93.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Merged error: 0.0b

Counts

42 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp (- 0.0 im)) (exp im))
50.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

simplify107.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	215	313
1	821	278
2	3936	276
3	5002	276

prune97.0ms

Filtered

41 candidates to 30 candidates (73.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

9.0ms	(+ (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp im)))
8.0ms	(* (sin re) (exp im))
8.0ms	(* (sin re) (exp (- 0.0 im)))

series129.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp im)))
26.0ms	(* (sin re) (exp im))
33.0ms	(* (sin re) (exp (- 0.0 im)))

simplify119.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	253	391
1	924	347
2	4591	340
3	5001	340

prune130.0ms

Filtered

60 candidates to 43 candidates (71.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Merged error: 0b

Counts

63 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
0.0b	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
0.1b	(* 1/12 (pow im 4))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log`
12×	`add-sqr-sqrt`
10×	`associate-r` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`prod-exp`
4×	`unpow-prod-down` `associate-l` `cbrt-unprod`
3×	`pow-prod-down` `sum-log` `unswap-sqr`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `pow-exp`

Counts

3 → 60

Calls

3 calls:

12.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
8.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
5.0ms	(* 1/12 (pow im 4))

series200.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
36.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
35.0ms	(* 1/12 (pow im 4))

simplify55.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	365	506
1	1891	441
2	5001	438

prune135.0ms

Filtered

69 candidates to 44 candidates (63.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Merged error: 0b

Counts

72 → 3

regimes100.0ms

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

sample2.9s

Algorithm

intervals

Results

1.2s	2996×	body	1280	valid
562.0ms	2454×	body	640	valid
417.0ms	8675×	body	80	valid
330.0ms	1186×	body	320	valid
62.0ms	617×	body	160	valid