Details

sample95.0ms

Algorithm: halfpoints

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2031
11	2031
10	487
9	243
8	232
7	221
6	186
5	113
4	53
3	30
2	15
1	10
0	5

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 1 expressions with local error:

0.1b	(*.p16 (-.p16 re im) (+.p16 im re))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`p16-lft-identity-expand` `associate-r` `associate-l` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
2×	`associate-*l/`
1×	`distribute-rgt-in` `distribute-lft-in` `+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `associate-r/` `p16-flip--` `-commutative` `+p16-rgt-identity-expand`

Counts

1 → 20

Calls

1 calls:

5.0ms

(*.p16 (-.p16 re im) (+.p16 im re))

series0.0ms

Counts

1 → 1

Calls

1 calls:

0.0ms

(*.p16 (-.p16 re im) (+.p16 im re))

simplify928.0ms

Counts

21 → 21

Iterations

Iter	Nodes
done	2010
4	2010
3	481
2	130
1	43
0	20

prune587.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 1 expressions with local error:

0.3b	(-.p16 (.p16 re re) (.p16 im im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
2×	`associate--l+` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `p16-lft-identity-expand` `p16-flip--` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `insert-quire-fdp-sub` `associate--r-` `p16-*-un-lft-identity` `difference-of-squares`

Counts

1 → 19

Calls

1 calls:

6.0ms

(-.p16 (*.p16 re re) (*.p16 im im))

series0.0ms

Counts

1 → 1

Calls

1 calls:

0.0ms

(-.p16 (*.p16 re re) (*.p16 im im))

simplify1.2s

Counts

20 → 20

Iterations

Iter	Nodes
done	2001
4	2001
3	621
2	135
1	46
0	23

prune592.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize167.0ms

Local error

Found 1 expressions with local error:

6.2b	(quire16-mul-sub (posit16->quire16 (*.p16 re re)) im im)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

Counts

1 → 0

Calls

1 calls:

1.0ms

(quire16-mul-sub (posit16->quire16 (*.p16 re re)) im im)

series0.0ms

Counts

1 → 1

Calls

1 calls:

0.0ms

(quire16-mul-sub (posit16->quire16 (*.p16 re re)) im im)

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
0	5

prune34.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize135.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.p16 im (-.p16 re im))
0.1b	(*.p16 re (-.p16 re im))
0.4b	(+.p16 (.p16 im (-.p16 re im)) (.p16 re (-.p16 re im)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
12×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-+l+` `associate-+r+` `sub-neg`
6×	`associate-r`
5×	`p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
4×	`associate-*r/`
2×	`p16-flip--` `*-commutative`
1×	`+-commutative` `associate-+r-` `insert-quire-add` `distribute-rgt-out` `insert-quire-fdp-add` `associate-+l-`

Counts

3 → 70

Calls

3 calls:

6.0ms	(*.p16 im (-.p16 re im))
7.0ms	(*.p16 re (-.p16 re im))
9.0ms	(+.p16 (.p16 im (-.p16 re im)) (.p16 re (-.p16 re im)))

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms	(*.p16 im (-.p16 re im))
0.0ms	(*.p16 re (-.p16 re im))
0.0ms	(+.p16 (.p16 im (-.p16 re im)) (.p16 re (-.p16 re im)))

simplify18.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	3856
4	3856
3	540
2	150
1	83
0	48

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes256.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample2.5s

Algorithm: halfpoints