Details

Time bar (total: 50.5s)

sample1.1s

Algorithm
halfpoints
Results

simplify4.1s

Counts
1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize413.0ms

Local error

Found 4 expressions with local error:

0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.2b
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
5×sub-neg
4×p16-flip--
1×distribute-rgt-in distribute-lft-in associate-*l/ associate-*r/ *-commutative
Counts
4 → 11
Calls
4 calls:
Slowest
65.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
57.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
50.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
50.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

simplify912.0ms

Counts
15 → 15

prune635.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize383.0ms

Local error

Found 4 expressions with local error:

1.1b
(/.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
3×sub-neg
2×associate-/l/
1×associate-*l/ associate-*r/ associate-/l* difference-of-squares
Counts
4 → 10
Calls
4 calls:
Slowest
146.0ms
(/.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
41.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
39.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
4.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

simplify5.9s

Counts
14 → 14

prune557.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize357.0ms

Local error

Found 4 expressions with local error:

0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b
(-.p16 (/.p16 (+.p16 a (+.p16 c b)) (real->posit16 2)) a)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.2b
(/.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (real->posit16 1.0) (-.p16 (/.p16 (+.p16 a (+.p16 c b)) (real->posit16 2)) a)))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
3×sub-neg
2×associate-/r/
1×associate-/r* associate-/l/
Counts
4 → 9
Calls
4 calls:
Slowest
58.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
53.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
28.0ms
(/.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (real->posit16 1.0) (-.p16 (/.p16 (+.p16 a (+.p16 c b)) (real->posit16 2)) a)))
23.0ms
(-.p16 (/.p16 (+.p16 a (+.p16 c b)) (real->posit16 2)) a)

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms
(/.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (real->posit16 1.0) (-.p16 (/.p16 (+.p16 a (+.p16 c b)) (real->posit16 2)) a)))
0.0ms
(-.p16 (/.p16 (+.p16 a (+.p16 c b)) (real->posit16 2)) a)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

simplify769.0ms

Counts
13 → 13

prune813.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize543.0ms

Local error

Found 4 expressions with local error:

1.1b
(/.p16 (*.p16 (*.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)) (+.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)) (+.p16 (/.p16 (+.p16 a (+.p16 c b)) (real->posit16 2)) a))
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
3×sub-neg associate-*l/
2×associate-/l/
1×associate-*r/ associate-/l*
Counts
4 → 9
Calls
4 calls:
Slowest
52.0ms
(-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)
44.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
40.0ms
(/.p16 (*.p16 (*.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)) (+.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)) (+.p16 (/.p16 (+.p16 a (+.p16 c b)) (real->posit16 2)) a))
40.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (*.p16 (*.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)) (+.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)) (+.p16 (/.p16 (+.p16 a (+.p16 c b)) (real->posit16 2)) a))
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

simplify1.0s

Counts
13 → 13

prune535.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

regimes445.0ms

Accuracy

-∞% (-63.9b remaining)

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

bsearch9.0ms

end0.0ms

sample31.2s

Algorithm
halfpoints
Results