Details

Time bar (total: 20.9s)

sample197.0ms

Algorithm
halfpoints
Results

simplify1.0s

Counts
1 → 1

prune112.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize445.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.4b
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.3b
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.2b
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-+l+
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
84.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
74.0ms
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
33.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
10.0ms
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))

simplify1.2s

Counts
9 → 9

prune413.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize369.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.4b
(+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))
0.3b
(/.p16 (/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.2b
(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
2×associate-/l/
1×+-commutative associate-+l+ associate-+r+
Counts
4 → 5
Calls
4 calls:
Slowest
79.0ms
(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
36.0ms
(/.p16 (/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
27.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
14.0ms
(+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
0.0ms
(/.p16 (/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))

simplify3.7s

Counts
9 → 9

prune367.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize342.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.3b
(+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0))))
0.3b
(/.p16 (/.p16 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.3b
(+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-+r+
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
29.0ms
(/.p16 (/.p16 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
27.0ms
(/.p16 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
13.0ms
(+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0))))
8.0ms
(+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(/.p16 (/.p16 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0))))
0.0ms
(+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))

simplify2.5s

Counts
9 → 9

prune389.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize336.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (+.p16 alpha (+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.3b
(+.p16 alpha (+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0)))
0.3b
(/.p16 (/.p16 (+.p16 alpha (+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.2b
(+.p16 beta (*.p16 beta alpha))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
38.0ms
(/.p16 (+.p16 alpha (+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
21.0ms
(/.p16 (/.p16 (+.p16 alpha (+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
9.0ms
(+.p16 alpha (+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0)))
3.0ms
(+.p16 beta (*.p16 beta alpha))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 alpha (+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(/.p16 (/.p16 (+.p16 alpha (+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(+.p16 alpha (+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0)))
0.0ms
(+.p16 beta (*.p16 beta alpha))

simplify2.4s

Counts
8 → 8

prune193.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes418.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch9.0ms

end0.0ms

sample5.9s

Algorithm
halfpoints
Results