Details

sample157.0ms

Algorithm

halfpoints

Results

simplify65.0ms

Calls

1 calls:

Slowest

64.0ms

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

6.0ms

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

series0.0ms

Calls

1 calls:

Slowest

0.0ms

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

simplify506.0ms

Calls

4 calls:

Slowest

480.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) (+.p16 im re))
10.0ms	(*.p16 re (-.p16 re im))
9.0ms	(*.p16 (-.p16 re im) re)
7.0ms	(*.p16 (-.p16 re im) (+.p16 im re))

prune85.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize93.0ms

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`

Calls

1 calls:

Slowest

2.0ms

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

series0.0ms

Calls

1 calls:

Slowest

0.0ms

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

simplify16.0ms

Calls

3 calls:

Slowest

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

prune67.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize75.0ms

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))

rewrite16.0ms

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/`

Calls

3 calls:

Slowest

10.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
3.0ms	(.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im))
2.0ms	(*.p16 (+.p16 im re) (+.p16 im re))

series0.0ms

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))

simplify1.8s

Calls

11 calls:

Slowest

621.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
550.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
519.0ms	(/.p16 (.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 re im)) (+.p16 re im))
92.0ms	(.p16 (.p16 (+.p16 im re) (+.p16 im re)) (-.p16 (.p16 re re) (.p16 im im)))
25.0ms	(.p16 (neg.p16 im) (.p16 (+.p16 im re) (+.p16 im re)))

prune219.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize161.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

6.0ms	(/.p16 (.p16 (+.p16 (.p16 im (+.p16 im re)) (*.p16 re (+.p16 im re))) (-.p16 re im)) (+.p16 re im))
5.0ms	(+.p16 (.p16 im (+.p16 im re)) (.p16 re (+.p16 im re)))
2.0ms	(*.p16 im (+.p16 im re))
2.0ms	(*.p16 re (+.p16 im re))

series0.0ms

Calls

4 calls:

Slowest

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

simplify731.0ms

Calls

16 calls:

Slowest

671.0ms	(.p16 (+.p16 (.p16 im (+.p16 im re)) (.p16 re (+.p16 im re))) (-.p16 (.p16 re re) (*.p16 im im)))
32.0ms	(+.p16 (.p16 im (+.p16 im re)) (.p16 re (+.p16 im re)))
5.0ms	(*.p16 re (+.p16 im re))
4.0ms	(*.p16 re (+.p16 im re))
4.0ms	(*.p16 re (+.p16 im re))

prune201.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

-∞% (-63.9b remaining)

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

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm

halfpoints

Results