Details

sample146.0ms

Algorithm

intervals

Results

72.0ms	85×	body	1280	valid
25.0ms	78×	body	640	valid
20.0ms	299×	body	80	valid
8.0ms	36×	body	320	valid
3.0ms	19×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4184
4	470
3	93
2	57
1	23
0	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

16.0ms

(+ (exp (- im)) (exp im))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(+ (exp (- im)) (exp im))

simplify3.3s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
3	2820
2	415
1	104
0	38

prune102.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

75.0ms	(* (* 0.5 (cos re)) (+ (+ (* 1/12 (pow im 4)) 2) (* im im)))
34.0ms	(+ (+ (* 1/12 (pow im 4)) 2) (* im im))
9.0ms	(* 1/12 (pow im 4))

series283.0ms

Counts

3 → 9

Calls

3 calls:

181.0ms	(* (* 0.5 (cos re)) (+ (+ (* 1/12 (pow im 4)) 2) (* im im)))
58.0ms	(+ (+ (* 1/12 (pow im 4)) 2) (* im im))
43.0ms	(* 1/12 (pow im 4))

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	2556
1	391
0	131

prune311.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes280.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.4s	3047×	body	1280	valid
1.1s	8525×	body	80	valid
1.1s	2618×	body	640	valid
394.0ms	1221×	body	320	valid
141.0ms	638×	body	160	valid