Details

sample151.0ms

Algorithm

intervals

Results

53.0ms	109×	body	1280	valid
42.0ms	273×	body	80	valid
23.0ms	73×	body	640	valid
10.0ms	45×	body	320	valid
3.0ms	23×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	59	11
3	103	11
4	137	11
5	179	11
6	258	11
7	397	11
8	435	11
9	471	11
10	527	11
done	527	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

28.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify2.5s

Counts

20 → 20

Iterations

Useful iterations: 3 (158.0ms)

Iter	Nodes	Cost
0	41	171
1	106	162
2	275	142
3	587	139
4	2481	139
done	5000	139

prune76.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:

34.0ms	(* (* 0.5 (cos re)) (fma 1/12 (pow im 4) (fma im im 2)))
1.0ms	(fma 1/12 (pow im 4) (fma im im 2))

series225.0ms

Counts

2 → 6

Calls

2 calls:

163.0ms	(* (* 0.5 (cos re)) (fma 1/12 (pow im 4) (fma im im 2)))
62.0ms	(fma 1/12 (pow im 4) (fma im im 2))

simplify3.2s

Counts

38 → 38

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	72	641
1	181	625
2	718	523
3	4064	516
done	5000	515

prune129.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes141.0ms

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

sample5.7s

Algorithm

intervals

Results

2.3s	2920×	body	1280	valid
1.2s	2519×	body	640	valid
804.0ms	8509×	body	80	valid
776.0ms	1266×	body	320	valid
94.0ms	608×	body	160	valid