Details

sample33.0ms

Algorithm

intervals

Results

22.0ms

273×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	17
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.4b

localize24.0ms

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))
24.4b	(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))

rewrite5.0ms

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

series209.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(fma y.im y.im (* y.re y.re))
58.0ms	(fma x.re y.re (* x.im y.im))
105.0ms	(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))

simplify809.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	2000
4	2000
3	787
2	257
1	117
0	76

prune304.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma x.re y.re (* x.im y.im))
13.1b	(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
30.3b	(sqrt (fma y.im y.im (* y.re y.re)))
30.3b	(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` `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))
5.0ms	(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
6.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(fma x.re y.re (* x.im y.im))
134.0ms	(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
47.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
48.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify1.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	2005
4	2005
3	857
2	304
1	143
0	93

prune525.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 21.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma x.re y.re (* x.im y.im))
13.2b	(* (fma x.re y.re (* x.im y.im)) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
30.3b	(sqrt (fma y.im y.im (* y.re y.re)))
30.3b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
22×	`-un-lft-identity` `times-frac` `associate-r*`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `fma-udef`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `cbrt-unprod` `hypot-def`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma x.re y.re (* x.im y.im))
12.0ms	(* (fma x.re y.re (* x.im y.im)) (/ 1 (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)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(fma x.re y.re (* x.im y.im))
120.0ms	(* (fma x.re y.re (* x.im y.im)) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
66.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
70.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify1.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	2043
4	2043
3	1875
2	600
1	246
0	116

prune553.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 21.5b

localize31.0ms

Local error

Found 4 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))
0.5b	(/ 1 (fma y.im y.im (* y.re y.re)))
24.1b	(* (fma x.re y.re (* x.im y.im)) (/ 1 (fma y.im y.im (* y.re y.re))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma y.im y.im (* y.re y.re))
0.0ms	(fma x.re y.re (* x.im y.im))
4.0ms	(/ 1 (fma y.im y.im (* y.re y.re)))
10.0ms	(* (fma x.re y.re (* x.im y.im)) (/ 1 (fma y.im y.im (* y.re y.re))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma y.im y.im (* y.re y.re))
43.0ms	(fma x.re y.re (* x.im y.im))
48.0ms	(/ 1 (fma y.im y.im (* y.re y.re)))
111.0ms	(* (fma x.re y.re (* x.im y.im)) (/ 1 (fma y.im y.im (* y.re y.re))))

simplify979.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	2000
3	2000
2	687
1	223
0	114

prune401.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 21.5b

regimes332.0ms

Accuracy

0% (2.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

8496×

body

valid