Details

sample150.0ms

Algorithm

halfpoints

Results

simplify16.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

14.0ms

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

prune87.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize125.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

1×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `p16-flip--` `-commutative`

Counts

1 → 4

Calls

1 calls:

Slowest

10.0ms

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

series0.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

0.0ms

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

simplify131.0ms

Counts

4 → 5

Calls

4 calls:

Slowest

92.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) (+.p16 im re))
15.0ms	(*.p16 (-.p16 re im) (+.p16 im re))
13.0ms	(*.p16 (-.p16 re im) re)
10.0ms	(*.p16 re (-.p16 re im))

prune237.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize153.0ms

Local error

Found 1 expressions with local error:

0.2b	(-.p16 (.p16 re re) (.p16 im im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `p16-flip--` `difference-of-squares`

Counts

1 → 3

Calls

1 calls:

Slowest

7.0ms

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

series0.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

0.0ms

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

simplify16.0ms

Counts

3 → 4

Calls

3 calls:

Slowest

12.0ms	(-.p16 (.p16 re re) (.p16 im im))
2.0ms	(-.p16 re im)
2.0ms	(+.p16 re im)

prune247.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize274.0ms

Local error

Found 3 expressions with local error:

1.0b	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
0.3b	(*.p16 (+.p16 im re) (+.p16 im re))
0.2b	(.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `p16-flip--` `-commutative`
1×	`associate-l` `associate-/l*` `associate-/l/`

Counts

3 → 10

Calls

3 calls:

Slowest

14.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
10.0ms	(.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im))
8.0ms	(*.p16 (+.p16 im re) (+.p16 im re))

series0.0ms

Counts

3 → 3

Calls

3 calls:

Slowest

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

simplify2.2s

Counts

11 → 13

Calls

11 calls:

Slowest

724.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
716.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
648.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
87.0ms	(.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 (.p16 re re) (.p16 im im)))
28.0ms	(.p16 (neg.p16 im) (.p16 (+.p16 im re) (+.p16 im re)))

prune626.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize325.0ms

Local error

Found 3 expressions with local error:

1.0b	(/.p16 (.p16 (+.p16 im re) (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im))
0.1b	(.p16 (+.p16 im re) (.p16 (+.p16 im re) (-.p16 re im)))
0.1b	(*.p16 (+.p16 im re) (-.p16 re im))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`sub-neg`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
3×	`p16-flip--`
2×	`*-commutative`
1×	`associate-r` `associate-/l*` `associate-/l/`

Counts

3 → 13

Calls

3 calls:

Slowest

7.0ms	(/.p16 (.p16 (+.p16 im re) (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im))
7.0ms	(.p16 (+.p16 im re) (.p16 (+.p16 im re) (-.p16 re im)))
4.0ms	(*.p16 (+.p16 im re) (-.p16 re im))

series0.0ms

Counts

3 → 3

Calls

3 calls:

Slowest

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

simplify730.0ms

Counts

14 → 16

Calls

14 calls:

Slowest

596.0ms	(.p16 (+.p16 im re) (.p16 (+.p16 im re) (-.p16 (.p16 re re) (.p16 im im))))
31.0ms	(.p16 (+.p16 im re) (.p16 (neg.p16 im) (+.p16 im re)))
31.0ms	(.p16 (+.p16 im re) (.p16 (+.p16 im re) (neg.p16 im)))
29.0ms	(.p16 (.p16 (+.p16 im re) (neg.p16 im)) (+.p16 im re))
27.0ms	(.p16 (.p16 (neg.p16 im) (+.p16 im re)) (+.p16 im re))

prune475.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes594.0ms

Accuracy

-∞% (-63.9b remaining)

Error of 0.1b against oracle of 64.0b and baseline of 64.0b

bsearch1.0ms

end0.0ms

sample3.2s

Algorithm

halfpoints

Results