Details

sample21.0ms

Algorithm

intervals

Results

6.0ms

337×

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

localize6.0ms

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))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify1.6s

Counts

19 → 19

Iterations

Useful iterations: 4 (714.0ms)

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

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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)))

series51.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify2.4s

Counts

13 → 13

Iterations

Useful iterations: 3 (21.0ms)

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

prune32.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x.re y.re (- (* y.im x.im)))) (cbrt (fma x.re y.re (- (* y.im x.im)))))
2.4b	(cbrt (fma x.re y.re (- (* y.im x.im))))
2.4b	(cbrt (fma x.re y.re (- (* y.im x.im))))
2.4b	(cbrt (fma x.re y.re (- (* y.im x.im))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt (fma x.re y.re (- (* y.im x.im)))) (cbrt (fma x.re y.re (- (* y.im x.im)))))
1.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))
1.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))
1.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))

series532.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (fma x.re y.re (- (* y.im x.im)))) (cbrt (fma x.re y.re (- (* y.im x.im)))))
130.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))
129.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))
130.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	106	1618
1	247	1497
2	659	1373
3	1813	1193
done	5000	1144

prune240.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.4b	(cbrt (fma x.re y.re (- (* y.im x.im))))
2.4b	(cbrt (fma x.re y.re (- (* y.im x.im))))
2.4b	(cbrt (fma x.re y.re (- (* y.im x.im))))
2.4b	(cbrt (fma x.re y.re (- (* y.im x.im))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))
1.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))
1.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))
1.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))

series523.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))
130.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))
133.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))
128.0ms	(cbrt (fma x.re y.re (- (* y.im x.im))))

simplify1.4s

Counts

64 → 64

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	57	880
1	127	860
2	291	792
3	801	760
4	1891	716
done	5000	696

prune229.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

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

sample542.0ms

Algorithm

intervals

Results

203.0ms

10447×

body

valid