Details

sample54.0ms

Algorithm

intervals

Results

30.0ms

270×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	11	284
1	17	234
2	21	234
done	21	234

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize29.0ms

Local error

Found 2 expressions with local error:

0.3b	(fma x.re y.re (* x.im y.im))
26.9b	(/ (fma x.re y.re (* x.im y.im)) (fma y.re y.re (* y.im y.im)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma x.re y.re (* x.im y.im))
4.0ms	(/ (fma x.re y.re (* x.im y.im)) (fma y.re y.re (* y.im y.im)))

series223.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(fma x.re y.re (* x.im y.im))
144.0ms	(/ (fma x.re y.re (* x.im y.im)) (fma y.re y.re (* y.im y.im)))

simplify3.6s

Counts

45 → 45

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	65	12936
1	104	12613
2	244	11973
3	700	11973
4	2350	11973
done	5008	11973

prune359.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 26.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma x.re y.re (* x.im y.im))
17.6b	(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.re y.re (* y.im y.im))))
31.9b	(sqrt (fma y.re y.re (* y.im y.im)))
31.9b	(sqrt (fma y.re y.re (* y.im y.im)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma x.re y.re (* x.im y.im))
11.0ms	(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.re y.re (* y.im y.im))))
2.0ms	(sqrt (fma y.re y.re (* y.im y.im)))
3.0ms	(sqrt (fma y.re y.re (* y.im y.im)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(fma x.re y.re (* x.im y.im))
167.0ms	(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.re y.re (* y.im y.im))))
85.0ms	(sqrt (fma y.re y.re (* y.im y.im)))
64.0ms	(sqrt (fma y.re y.re (* y.im y.im)))

simplify42.0ms

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	90	27234