Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

272×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	17
0	11

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y.im y.im (* y.re y.re))
0.3b	(fma x.re y.re (* x.im y.im))
26.2b	(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 52

Calls

3 calls:

0.0ms	(fma y.im y.im (* y.re y.re))
0.0ms	(fma x.re y.re (* x.im y.im))
5.0ms	(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(fma y.im y.im (* y.re y.re))
43.0ms	(fma x.re y.re (* x.im y.im))
107.0ms	(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))

simplify2.6s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
4	3914
3	787
2	257
1	117
0	76

prune289.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 25.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma x.re y.re (* x.im y.im))
16.8b	(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
28.9b	(sqrt (fma y.im y.im (* y.re y.re)))
28.9b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite18.0ms

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` `insert-posit16` `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 → 87

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.im y.im (* y.re y.re))))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(fma x.re y.re (* x.im y.im))
179.0ms	(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
67.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
79.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify2.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
4	2629
3	857
2	304
1	143
0	93

prune662.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma y.re x.re (* y.im x.im))
16.8b	(/ (fma y.re x.re (* y.im x.im)) (sqrt (fma y.im y.im (* y.re y.re))))
28.9b	(sqrt (fma y.im y.im (* y.re y.re)))
28.9b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite23.0ms

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` `insert-posit16` `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 → 87

Calls

4 calls:

0.0ms	(fma y.re x.re (* y.im x.im))
9.0ms	(/ (fma y.re x.re (* y.im x.im)) (sqrt (fma y.im y.im (* y.re y.re))))
3.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
9.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(fma y.re x.re (* y.im x.im))
196.0ms	(/ (fma y.re x.re (* y.im x.im)) (sqrt (fma y.im y.im (* y.re y.re))))
50.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
59.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify2.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5020
4	2789
3	868
2	301
1	142
0	91

prune703.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 24.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma y.re x.re (* y.im x.im))
16.9b	(/ (sqrt (fma y.im y.im (* y.re y.re))) (fma y.re x.re (* y.im x.im)))
28.9b	(sqrt (fma y.im y.im (* y.re y.re)))
28.9b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `fma-udef`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma y.re x.re (* y.im x.im))
6.0ms	(/ (sqrt (fma y.im y.im (* y.re y.re))) (fma y.re x.re (* y.im x.im)))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(fma y.re x.re (* y.im x.im))
119.0ms	(/ (sqrt (fma y.im y.im (* y.re y.re))) (fma y.re x.re (* y.im x.im)))
70.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
77.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify2.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5006
4	2099
3	714
2	305
1	141
0	89

prune707.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 24.1b

regimes332.0ms

Accuracy

0% (2.6b remaining)

Error of 25.5b against oracle of 22.9b and baseline of 25.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

727.0ms

8467×

body

valid