Details

Time bar (total: 16.5s)

sample322.0ms

Algorithm
halfpoints
Results

simplify2.4s

Counts
1 → 1

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
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))

simplify1.3s

Counts
5 → 5

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
sub-neg
distribute-rgt-in distribute-lft-in
associate-+l+ associate-+r+ associate-*r/ p16-flip-- *-commutative
+-commutative distribute-rgt-out
Counts
3 → 14
Calls
3 calls:
Slowest
10.0ms
(+.p16 (*.p16 im (-.p16 re im)) (*.p16 re (-.p16 re im)))
3.0ms
(*.p16 im (-.p16 re im))
3.0ms
(*.p16 re (-.p16 re im))

series0.0ms

Counts
3 → 3
Calls
3 calls:
Slowest
0.0ms
(*.p16 im (-.p16 re im))
0.0ms
(+.p16 (*.p16 im (-.p16 re im)) (*.p16 re (-.p16 re im)))
0.0ms
(*.p16 re (-.p16 re im))

simplify4.8s

Counts
17 → 17

prune261.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
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))

simplify976.0ms

Counts
4 → 4

prune49.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize134.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
associate-*l/ p16-flip--
associate-+r+ sub-neg associate-*r/ *-commutative
distribute-rgt-in +-commutative distribute-lft-in associate-*r* associate-/l* associate-/l/
Counts
4 → 10
Calls
4 calls:
Slowest
29.0ms
(+.p16 (/.p16 (*.p16 (+.p16 re im) (*.p16 (-.p16 re im) im)) (+.p16 re im)) (*.p16 re (-.p16 re im)))
10.0ms
(*.p16 (+.p16 re im) (*.p16 (-.p16 re im) im))
7.0ms
(/.p16 (*.p16 (+.p16 re im) (*.p16 (-.p16 re im) im)) (+.p16 re im))
6.0ms
(*.p16 (-.p16 re im) im)

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (*.p16 (+.p16 re im) (*.p16 (-.p16 re im) im)) (+.p16 re im))
0.0ms
(+.p16 (/.p16 (*.p16 (+.p16 re im) (*.p16 (-.p16 re im) im)) (+.p16 re im)) (*.p16 re (-.p16 re im)))
0.0ms
(*.p16 (+.p16 re im) (*.p16 (-.p16 re im) im))
0.0ms
(*.p16 (-.p16 re im) im)

simplify3.6s

Counts
14 → 14

prune145.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm
halfpoints
Results