Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

327×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3
done	18	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

8.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify74.0ms

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	78
1	285	71
2	895	71
3	2136	71
4	5001	71
done	5001	71

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))))
0.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite81.0ms

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×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

8.0ms	(- (* x.re y.re) (* x.im y.im))
53.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
9.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
9.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* x.re y.re) (* x.im y.im))
44.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
94.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
93.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify38.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	245	792
1	956	714
2	5001	688
done	5001	688

prune201.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

8.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
9.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
9.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
9.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
94.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
92.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
92.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify58.0ms

Counts

72 → 72

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	154	540
1	507	496
2	1865	484
3	5001	452
done	5001	452

prune212.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes107.0ms

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	9	3
1	9	3
done	9	3

end0.0ms

sample555.0ms

Algorithm

intervals

Results

206.0ms

10439×

body

valid