Details

sample160.0ms

Algorithm

intervals

Results

70.0ms	101×	body	1280	valid
28.0ms	75×	body	640	valid
20.0ms	274×	body	80	valid
11.0ms	42×	body	320	valid
3.0ms	21×	body	160	valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	10	363
1	23	363
2	59	363
3	102	268
4	238	268
5	764	268
6	1848	268
7	2791	268
8	4594	268
done	5000	268

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
10.0ms	(/ (* 0.5 (cos re)) (exp im))

series171.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
68.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify3.0s

Counts

39 → 39

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	79	11777
1	193	10982
2	678	10782
3	3227	10607
done	5069	10582

prune246.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

29.0ms	(+ (* (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (exp im)))
21.0ms	(* (exp im) (* 0.5 (cos re)))
10.0ms	(/ (* 0.5 (cos re)) (exp im))

series239.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(+ (* (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (exp im)))
61.0ms	(* (exp im) (* 0.5 (cos re)))
51.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify2.0s

Counts

66 → 66

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	108	20051
1	308	18319
2	1146	17624
done	5000	17609

prune254.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	293
1	12	293
done	12	293

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.6s	2901×	body	1280	valid
1.2s	2477×	body	640	valid
1.2s	8385×	body	80	valid
302.0ms	1199×	body	320	valid
106.0ms	661×	body	160	valid