Details

sample37.0ms

Algorithm

intervals

Results

14.0ms

341×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	20	7
3	24	7
done	24	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

9.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify2.1s

Counts

19 → 19

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	39	202
1	107	193
2	405	178
3	1446	178
4	3799	173
done	5000	173

prune67.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x.re 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:

0.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify2.7s

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	20	114
1	30	114
2	68	100
3	298	100
4	2196	100
done	5000	100

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.3b	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
0.7b	(sqrt (- (* x.re y.re) (* x.im y.im)))
0.7b	(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `fma-neg` `sqrt-unprod` `diff-log` `prod-diff` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

11.0ms	(- (* x.re y.re) (* x.im y.im))
59.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
11.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
12.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* x.re y.re) (* x.im y.im))
58.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
123.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
161.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify885.0ms

Counts

121 → 121

Iterations

Useful iterations: done (881.0ms)

Iter	Nodes	Cost
0	123	2204
1	280	1565
2	1123	1452
done	5000	1417

prune347.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (* (sqrt (sqrt (fma y.re x.re (- (* x.im y.im))))) (sqrt (sqrt (fma y.re x.re (- (* x.im y.im)))))))
0.7b	(sqrt (- (* x.re y.re) (* x.im y.im)))
0.7b	(sqrt (fma y.re x.re (- (* x.im y.im))))
0.7b	(sqrt (fma y.re x.re (- (* x.im y.im))))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
14×	`add-sqr-sqrt`
13×	`sqrt-prod`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
7×	`pow-prod-down`
6×	`sqrt-pow1` `pow1/2` `associate-l`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `prod-exp` `cbrt-unprod`
2×	`flip3--` `sqrt-unprod` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r` `*-commutative`

Counts

4 → 77

Calls

4 calls:

102.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (* (sqrt (sqrt (fma y.re x.re (- (* x.im y.im))))) (sqrt (sqrt (fma y.re x.re (- (* x.im y.im)))))))
15.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
2.0ms	(sqrt (fma y.re x.re (- (* x.im y.im))))
2.0ms	(sqrt (fma y.re x.re (- (* x.im y.im))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (* (sqrt (sqrt (fma y.re x.re (- (* x.im y.im))))) (sqrt (sqrt (fma y.re x.re (- (* x.im y.im)))))))
109.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
115.0ms	(sqrt (fma y.re x.re (- (* x.im y.im))))
122.0ms	(sqrt (fma y.re x.re (- (* x.im y.im))))

simplify900.0ms

Counts

89 → 89

Iterations

Useful iterations: done (897.0ms)

Iter	Nodes	Cost
0	122	1814
1	324	1077
2	1358	978
done	5000	957

prune353.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	10	10
1	14	9
2	16	7
done	16	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

453.0ms

10461×

body

valid