Details

sample25.0ms

Algorithm

intervals

Results

9.0ms

333×

body

valid

simplify10.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify2.2s

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

prune64.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.2b	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
1.3b	(sqrt (- (* x.re y.re) (* x.im y.im)))
1.3b	(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite181.0ms

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:

18.0ms	(- (* x.re y.re) (* x.im y.im))
115.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
22.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
19.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* x.re y.re) (* x.im y.im))
68.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
128.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
132.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify995.0ms

Counts

121 → 121

Iterations

Useful iterations: done (991.0ms)

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

prune447.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

514.0ms

10450×

body

valid