Details

Time bar (total: 21.7s)

sample272.0ms

Algorithm
halfpoints
Results

simplify1.2s

Counts
1 → 1

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize257.0ms

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))

rewrite327.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-+l+
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
122.0ms
(/.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))))
118.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
68.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
18.0ms
(+.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))

simplify1.3s

Counts
9 → 9

prune505.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize359.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
49.0ms
(/.p16 (/.p16 (+.p16 (+.p16 alpha (+.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))))
40.0ms
(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
4.0ms
(+.p16 alpha (+.p16 beta (*.p16 beta alpha)))
3.0ms
(+.p16 beta (*.p16 beta alpha))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 (+.p16 alpha (+.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 (+.p16 alpha (+.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 beta (*.p16 beta alpha)))
0.0ms
(+.p16 beta (*.p16 beta alpha))

simplify2.0s

Counts
8 → 8

prune321.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize272.0ms

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 beta alpha) (real->posit16 1.0))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ associate-+r+ associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
20.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
20.0ms
(/.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))))
17.0ms
(+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))
3.0ms
(+.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 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)))
0.0ms
(+.p16 (*.p16 beta alpha) (real->posit16 1.0))

simplify2.2s

Counts
9 → 9

prune297.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize341.0ms

Local error

Found 4 expressions with local error:

0.8b
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))))
0.4b
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.2b
(*.p16 (+.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))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-+l+
1×distribute-rgt-in associate-/r* distribute-lft-in *-commutative
Counts
4 → 8
Calls
4 calls:
Slowest
73.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))))
35.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
21.0ms
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
17.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))

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 (+.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))
0.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))

simplify5.0s

Counts
12 → 12

prune467.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes395.0ms

Accuracy

0% (0.3b remaining)

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

bsearch7.0ms

end0.0ms

sample5.8s

Algorithm
halfpoints
Results