Details

sample222.0ms

Algorithm

halfpoints

Results

simplify14.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

14.0ms

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize132.0ms

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))

simplify138.0ms

Counts

6 → 5

Calls

6 calls:

Slowest

85.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) (+.p16 im re))
14.0ms	(*.p16 (-.p16 re im) (+.p16 im re))
10.0ms	(*.p16 im (-.p16 re im))
9.0ms	(*.p16 re (-.p16 re im))
9.0ms	(*.p16 (-.p16 re im) im)

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize109.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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))

simplify102.0ms

Counts

6 → 4

Calls

6 calls:

Slowest

71.0ms	(-.p16 (.p16 (.p16 re re) (.p16 re re)) (.p16 (.p16 im im) (.p16 im im)))
17.0ms	(-.p16 (.p16 re re) (.p16 im im))
6.0ms	(+.p16 (.p16 re re) (.p16 im im))
3.0ms	(neg.p16 (*.p16 im im))
2.0ms	(-.p16 re im)

prune89.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize111.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-l/` `p16-flip--` `-commutative`
1×	`+-commutative` `p16-distribute-lft-out` `distribute-lft-out`

Counts

3 → 7

Calls

3 calls:

Slowest

8.0ms	(+.p16 (.p16 (-.p16 re im) im) (.p16 (-.p16 re im) re))
5.0ms	(*.p16 (-.p16 re im) im)
5.0ms	(*.p16 (-.p16 re im) re)

series0.0ms

Counts

3 → 3

Calls

3 calls:

Slowest

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

simplify96.0ms

Counts

10 → 10

Calls

10 calls:

Slowest

36.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) re)
25.0ms	(.p16 (-.p16 (.p16 re re) (*.p16 im im)) im)
8.0ms	(*.p16 (-.p16 re im) re)
5.0ms	(*.p16 (-.p16 re im) re)
5.0ms	(*.p16 (-.p16 re im) im)

prune102.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize264.0ms

Local error

Found 4 expressions with local error:

0.9b	(/.p16 (.p16 im (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im))
0.3b	(+.p16 (/.p16 (.p16 im (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)) (*.p16 (-.p16 re im) re))
0.2b	(.p16 im (.p16 (+.p16 im re) (-.p16 re im)))
0.2b	(*.p16 (-.p16 re im) re)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 12

Calls

4 calls:

Slowest

22.0ms	(/.p16 (.p16 im (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im))
22.0ms	(+.p16 (/.p16 (.p16 im (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)) (*.p16 (-.p16 re im) re))
12.0ms	(.p16 im (.p16 (+.p16 im re) (-.p16 re im)))
5.0ms	(*.p16 (-.p16 re im) re)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify3.3s

Counts

17 → 16

Calls

17 calls:

Slowest

703.0ms	(+.p16 (/.p16 (.p16 im (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)) (*.p16 (-.p16 re im) re))
693.0ms	(+.p16 (/.p16 (.p16 im (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)) (*.p16 (-.p16 re im) re))
626.0ms	(+.p16 (/.p16 (.p16 im (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)) (*.p16 (-.p16 re im) re))
604.0ms	(+.p16 (/.p16 (.p16 im (.p16 (+.p16 im re) (-.p16 re im))) (+.p16 re im)) (*.p16 (-.p16 re im) re))
402.0ms	(.p16 im (.p16 (+.p16 im re) (-.p16 (.p16 re re) (.p16 im im))))

prune279.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes141.0ms

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