Details

sample123.0ms

Algorithm

intervals

Results

45.0ms	91×	body	1280	valid
23.0ms	75×	body	640	valid
18.0ms	288×	body	80	valid
10.0ms	46×	body	320	valid
3.0ms	21×	body	160	valid

simplify1.8s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

115.0ms

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

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

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

simplify4.0s

Counts

28 → 28

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	75	415
1	214	404
2	947	334
3	4255	332
done	5000	331

prune97.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`fma-def`
6×	`times-frac`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-/r*` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 64

Calls

3 calls:

41.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
20.0ms	(/ (* 0.5 (cos re)) (exp im))
43.0ms	(* (* 0.5 (cos re)) (exp im))

series179.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
43.0ms	(/ (* 0.5 (cos re)) (exp im))
46.0ms	(* (* 0.5 (cos re)) (exp im))

simplify1.4s

Counts

73 → 73

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	109	864
1	295	777
2	1273	676
done	5000	671

prune184.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (cos re) (exp im))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

11.0ms

(/ (cos re) (exp im))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (cos re) (exp im))

simplify3.0s

Counts

32 → 32

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	58	297
1	106	286
2	223	266
3	410	266
4	686	266
5	1115	266
6	3037	266
done	5000	266

prune82.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12
done	9	12

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.0s	3012×	body	1280	valid
1.6s	2440×	body	640	valid
1.3s	8611×	body	80	valid
326.0ms	1198×	body	320	valid
91.0ms	577×	body	160	valid