Details

Time bar (total: 11.1s)

sample178.0ms

Algorithm
halfpoints
Results

simplify84.0ms

Calls
1 calls:
Slowest
83.0ms
(/.p16 (/.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)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))

prune60.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize237.0ms

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-+l+
1×associate-/l/
Calls
4 calls:
Slowest
17.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
13.0ms
(/.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))))
8.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
2.0ms
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))

series0.0ms

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))

simplify534.0ms

Calls
6 calls:
Slowest
158.0ms
(/.p16 (/.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)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
145.0ms
(/.p16 (/.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)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
113.0ms
(/.p16 (/.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)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
102.0ms
(/.p16 (/.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)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
15.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))

prune483.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize128.0ms

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))))
0.2b
(+.p16 alpha (+.p16 beta (*.p16 beta alpha)))
0.2b
(+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ associate-+r+ associate-/l/
Calls
4 calls:
Slowest
12.0ms
(/.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))))
11.0ms
(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
7.0ms
(+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0))
3.0ms
(+.p16 alpha (+.p16 beta (*.p16 beta alpha)))

series0.0ms

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 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0))
0.0ms
(+.p16 alpha (+.p16 beta (*.p16 beta alpha)))

simplify53.0ms

Calls
2 calls:
Slowest
49.0ms
(+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0))
2.0ms
(*.p16 beta alpha)

prune515.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize196.0ms

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ associate-+r+ associate-/l/
Calls
4 calls:
Slowest
16.0ms
(+.p16 alpha (+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0)))
14.0ms
(/.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))))
12.0ms
(/.p16 (+.p16 alpha (+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
6.0ms
(+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0))

series0.0ms

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 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0))

simplify55.0ms

Calls
2 calls:
Slowest
52.0ms
(+.p16 alpha (+.p16 (+.p16 beta (*.p16 beta alpha)) (real->posit16 1.0)))
2.0ms
(real->posit16 1.0)

prune503.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize182.0ms

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))))
0.3b
(+.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))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ associate-+r+ associate-/l/
Calls
4 calls:
Slowest
14.0ms
(/.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))))
12.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
8.0ms
(+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))
4.0ms
(+.p16 (*.p16 beta alpha) (real->posit16 1.0))

series0.0ms

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))

simplify32.0ms

Calls
6 calls:
Slowest
24.0ms
(+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))
2.0ms
(real->posit16 1.0)
1.0ms
(+.p16 alpha beta)
1.0ms
(+.p16 alpha beta)
1.0ms
(+.p16 alpha beta)

prune363.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes303.0ms

Accuracy

-∞% (-63.6b remaining)

Error of 0.4b against oracle of 64.0b and baseline of 64.0b

bsearch8.0ms

end0.0ms

sample7.0s

Algorithm
halfpoints
Results