Details

sample194.0ms

Algorithm

halfpoints

Results

simplify16.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

16.0ms

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 4

Calls

1 calls:

Slowest

5.0ms

(*.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))

simplify80.0ms

Counts

4 → 5

Calls

4 calls:

Slowest

56.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) (+.p16 im re))
14.0ms	(*.p16 (-.p16 re im) (+.p16 im re))
5.0ms	(*.p16 (-.p16 re im) re)
5.0ms	(*.p16 re (-.p16 re im))

prune62.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 3

Calls

1 calls:

Slowest

3.0ms

(-.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))

simplify8.0ms

Counts

3 → 4

Calls

3 calls:

Slowest

6.0ms	(-.p16 (.p16 re re) (.p16 im im))
1.0ms	(-.p16 re im)
1.0ms	(+.p16 re im)

prune92.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 3 expressions with local error:

0.3b	(+.p16 (.p16 im (-.p16 re im)) (.p16 re (-.p16 re im)))
0.2b	(*.p16 re (-.p16 re im))
0.1b	(*.p16 im (-.p16 re im))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`sub-neg`
4×	`distribute-rgt-in` `distribute-lft-in`
2×	`associate-+l+` `associate-+r+` `associate-r/` `p16-flip--` `-commutative`
1×	`+-commutative` `distribute-rgt-out`

Counts

3 → 14

Calls

3 calls:

Slowest

10.0ms	(+.p16 (.p16 im (-.p16 re im)) (.p16 re (-.p16 re im)))
7.0ms	(*.p16 re (-.p16 re im))
6.0ms	(*.p16 im (-.p16 re im))

series0.0ms

Counts

3 → 3

Calls

3 calls:

Slowest

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

simplify52.0ms

Counts

15 → 17

Calls

15 calls:

Slowest

10.0ms	(*.p16 re (neg.p16 im))
5.0ms	(*.p16 re (-.p16 re im))
5.0ms	(*.p16 re (neg.p16 im))
5.0ms	(*.p16 (neg.p16 im) re)
5.0ms	(*.p16 re (-.p16 re im))

prune267.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize143.0ms

Local error

Found 3 expressions with local error:

0.9b	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
0.2b	(*.p16 (+.p16 im re) (+.p16 im re))
0.1b	(.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im))

rewrite17.0ms

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

7.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
5.0ms	(.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im))
4.0ms	(*.p16 (+.p16 im re) (+.p16 im re))

series0.0ms

Counts

3 → 3

Calls

3 calls:

Slowest

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

simplify2.0s

Counts

11 → 13

Calls

11 calls:

Slowest

632.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
619.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
580.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
76.0ms	(.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 (.p16 re re) (.p16 im im)))
40.0ms	(.p16 (neg.p16 im) (.p16 (+.p16 im re) (+.p16 im re)))

prune172.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

-∞% (-63.9b remaining)

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

bsearch1.0ms

end0.0ms

sample1.7s

Algorithm

halfpoints

Results