Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

327×

body

valid

simplify13.0ms

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

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:

18.0ms

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

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

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

simplify2.4s

Counts

19 → 19

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	39	202
1	106	193
2	319	178
3	984	178
4	2235	173
done	5000	173

prune49.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)))

simplify3.7s

Counts

13 → 13

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	20	114
1	29	114
2	49	114
3	184	100
4	733	100
5	3876	100
done	5000	100

prune38.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.1b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.1b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.1b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

70.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series752.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
171.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
155.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
182.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify2.3s

Counts

107 → 107

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	133	2138
1	321	1959
2	932	1835
3	2590	1655
done	5001	1583

prune451.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	14	7
done	14	7

end0.0ms

sample982.0ms

Algorithm

intervals

Results

345.0ms

10482×

body

valid