Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

328×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	20	3
2	24	3
3	24	3

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
138×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
79×	`associate-l`
76×	`add-cube-cbrt`
75×	`associate-r`
29×	`unswap-sqr`
25×	`*-commutative`
12×	`fma-neg`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 178

Calls

1 calls:

17.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify59.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	521	2494
1	1396	1644
2	5002	1440

prune125.0ms

Filtered

181 candidates to 40 candidates (22.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	181	1	182

Merged error: 0.0b

Counts

182 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (* x.re 1) y.re (- (* y.im x.im)))

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:

1.0ms

(fma (* x.re 1) y.re (- (* y.im x.im)))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(fma (* x.re 1) y.re (- (* y.im x.im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (37.0ms)

Iter	Nodes	Cost
0	37	67
1	84	57
2	244	56
3	976	56
4	5002	55

prune35.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	1	14

Merged error: 0.0b

Counts

14 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	4
1	21	4
2	21	4

end0.0ms

sample520.0ms

Algorithm

intervals

Results

247.0ms

10452×

body

valid