Details

sample114.0ms

Algorithm

intervals

Results

52.0ms	103×	body	1280	valid
25.0ms	99×	body	640	valid
13.0ms	267×	body	80	valid
5.0ms	27×	body	320	valid
2.0ms	20×	body	160	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	629	7
6	1415	7
7	2148	7
8	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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

10.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
5.0ms	(+ (exp (- im)) (exp im))

series85.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
23.0ms	(+ (exp (- im)) (exp im))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	249	347
1	1229	286
2	5001	284

prune86.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 0.5 (cos 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))

rewrite27.0ms

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 (cos 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))

series194.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
40.0ms	(+ (* 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 (49.0ms)

Iter	Nodes	Cost
0	356	504
1	1865	439
2	5003	436

prune143.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(sqrt (+ (exp (- im)) (exp im)))
0.0b	(sqrt (+ (exp (- im)) (exp im)))
1.0b	(* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

5.0ms	(+ (exp (- im)) (exp im))
6.0ms	(sqrt (+ (exp (- im)) (exp im)))
6.0ms	(sqrt (+ (exp (- im)) (exp im)))
20.0ms	(* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (exp (- im)) (exp im))
49.0ms	(sqrt (+ (exp (- im)) (exp im)))
54.0ms	(sqrt (+ (exp (- im)) (exp im)))
24.0ms	(* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))))

simplify42.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	229	975
1	882	884
2	5001	849

prune269.0ms

Filtered

118 candidates to 62 candidates (52.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	118	3	121

Merged error: 0b

Counts

121 → 3

regimes118.0ms

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	13	7
1	13	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	2996×	body	1280	valid
565.0ms	2444×	body	640	valid
413.0ms	8676×	body	80	valid
180.0ms	1198×	body	320	valid
62.0ms	618×	body	160	valid