Details

sample85.0ms

Algorithm

intervals

Results

38.0ms	108×	body	1280	valid
15.0ms	74×	body	640	valid
12.0ms	292×	body	80	valid
5.0ms	34×	body	320	valid
1.0ms	17×	body	160	valid

simplify68.0ms

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

prune2.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

10.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	215	246
1	1120	199
2	5002	198

prune48.0ms

Filtered

26 candidates to 15 candidates (57.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	1	27

Merged error: 0b

Counts

27 → 1

localize8.0ms

Local error

Found 2 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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

8.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
6.0ms	(/ (* 0.5 (cos re)) (exp im))

series119.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
39.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify37.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	239	336
1	1220	294
2	5002	287

prune88.0ms

Filtered

39 candidates to 30 candidates (76.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	1	40

Merged error: 0b

Counts

40 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	2970×	body	1280	valid
537.0ms	2511×	body	640	valid
383.0ms	8572×	body	80	valid
169.0ms	1203×	body	320	valid
55.0ms	585×	body	160	valid