Details

sample145.0ms

Algorithm

intervals

Results

56.0ms	109×	body	1280	valid
24.0ms	73×	body	640	valid
19.0ms	273×	body	80	valid
18.0ms	45×	body	320	valid
3.0ms	23×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	57	11
3	89	11
4	119	11
5	153	11
6	217	11
7	346	11
8	382	11
9	418	11
10	474	11
done	474	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

27.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify2.1s

Counts

15 → 15

Iterations

Useful iterations: 3 (168.0ms)

Iter	Nodes	Cost
0	39	157
1	100	149
2	249	130
3	516	129
4	2154	129
done	5000	129

prune46.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))

rewrite162.0ms

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:

106.0ms	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
41.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
12.0ms	(* 1/12 (pow im 4))

series218.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
42.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
41.0ms	(* 1/12 (pow im 4))

simplify1.1s

Counts

69 → 69

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	128	1045
1	356	980
2	1419	860
done	5001	849

prune174.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.7s	2920×	body	1280	valid
1.1s	8509×	body	80	valid
943.0ms	2519×	body	640	valid
770.0ms	1266×	body	320	valid
121.0ms	608×	body	160	valid