Details

sample235.0ms

Algorithm

intervals

Results

90.0ms	112×	body	1280	valid
42.0ms	41×	body	320	valid
40.0ms	74×	body	640	valid
39.0ms	299×	body	80	valid
5.0ms	22×	body	160	valid

simplify981.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	656
3	129
2	65
1	27
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`pow1` `associate-r`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`associate-*r/` `insert-posit16` `div-inv` `add-log-exp`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

59.0ms	(* (sin re) (+ (* 0.5 (exp im)) (/ 0.5 (exp im))))
5.0ms	(/ 0.5 (exp im))

series125.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(* (sin re) (+ (* 0.5 (exp im)) (/ 0.5 (exp im))))
25.0ms	(/ 0.5 (exp im))

simplify1.3s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	1366
1	303
0	114

prune295.0ms

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	(/ 0.5 (exp im))
0.0b	(* (sin re) (* 0.5 (exp im)))
0.0b	(* (sin re) (/ 0.5 (exp im)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
15×	`add-cbrt-cube`
14×	`associate-r`
12×	`add-exp-log`
10×	`pow1`
6×	`associate-l`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down`
3×	`associate-/r` `insert-posit16` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-*r/`

Counts

3 → 80

Calls

3 calls:

8.0ms	(/ 0.5 (exp im))
45.0ms	(* (sin re) (* 0.5 (exp im)))
21.0ms	(* (sin re) (/ 0.5 (exp im)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ 0.5 (exp im))
44.0ms	(* (sin re) (* 0.5 (exp im)))
50.0ms	(* (sin re) (/ 0.5 (exp im)))

simplify1.6s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1780
1	338
0	130

prune501.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample9.3s

Algorithm

intervals

Results

4.1s	3085×	body	1280	valid
2.0s	2560×	body	640	valid
1.5s	8701×	body	80	valid
1.0s	1226×	body	320	valid
213.0ms	653×	body	160	valid