Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

309×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	11	6
2	14	6
done	14	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x.re y.im (* x.im y.re))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x.re y.im (* x.im y.re))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma x.re y.im (* x.im y.re))

simplify982.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	20	102
1	23	100
2	51	88
3	137	88
4	437	88
5	1648	88
done	5000	88

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x.re y.im (* x.im y.re))
0.0b	(log1p (fma x.re y.im (* x.im y.re)))
1.9b	(expm1 (log1p (fma x.re y.im (* x.im y.re))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`expm1-log1p-u`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `fma-udef` `expm1-udef`

Counts

3 → 32

Calls

3 calls:

0.0ms	(fma x.re y.im (* x.im y.re))
0.0ms	(log1p (fma x.re y.im (* x.im y.re)))
0.0ms	(expm1 (log1p (fma x.re y.im (* x.im y.re))))

series227.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(fma x.re y.im (* x.im y.re))
76.0ms	(log1p (fma x.re y.im (* x.im y.re)))
113.0ms	(expm1 (log1p (fma x.re y.im (* x.im y.re))))

simplify76.0ms

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	65	418
1	114	383
2	256	333