Details

sample87.0ms

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
2.0ms	17×	body	160	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	23	7
1	60	7
2	112	7
3	236	7
4	520	6
5	702	6
6	1514	6
7	2284	6
8	5001	6

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

10.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	219	263
1	1151	215
2	5001	213

prune60.0ms

Filtered

28 candidates to 17 candidates (60.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	1	29

Merged error: 0b

Counts

29 → 1

localize9.0ms

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))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

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))

series117.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
37.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify38.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	249	366
1	1279	315
2	5002	309

prune125.0ms

Filtered

50 candidates to 41 candidates (82.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	1	51

Merged error: 0b

Counts

51 → 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
365.0ms	8572×	body	80	valid
172.0ms	1203×	body	320	valid
58.0ms	585×	body	160	valid