Details

Time bar (total: 20.7s)

sample445.0ms

Algorithm
halfpoints
Results

simplify91.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
91.0ms
(/.p16 (+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune66.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize252.0ms

Local error

Found 4 expressions with local error:

0.8b
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.6b
(/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.2b
(+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
0.2b
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-/l/
1×associate-+l+ associate-*r/ p16-flip-- associate-/l*
Counts
4 → 6
Calls
4 calls:
Slowest
52.0ms
(+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
49.0ms
(/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
22.0ms
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
9.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.0ms
(/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.0ms
(+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
0.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

simplify630.0ms

Counts
7 → 10
Calls
7 calls:
Slowest
175.0ms
(/.p16 (+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
153.0ms
(/.p16 (+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
132.0ms
(/.p16 (+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
109.0ms
(/.p16 (+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
47.0ms
(*.p16 (+.p16 alpha beta) (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)))

prune627.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize376.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.6b
(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.3b
(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
0.2b
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))

rewrite453.0ms

Algorithm
rewrite-expression-head
Rules
4×associate-/r/
2×p16-flip--
1×+-commutative associate-/r* associate-/l* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
292.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
116.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
25.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
18.0ms
(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
0.0ms
(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))

simplify49.0ms

Counts
9 → 10
Calls
9 calls:
Slowest
29.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
3.0ms
(+.p16 alpha beta)
2.0ms
(-.p16 beta alpha)
2.0ms
(+.p16 alpha beta)
2.0ms
(+.p16 beta alpha)

prune730.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.4b

localize358.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.6b
(/.p16 (+.p16 alpha beta) (*.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))))
0.3b
(*.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
0.2b
(+.p16 (/.p16 (+.p16 alpha beta) (*.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))) (real->posit16 1.0))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/r/
2×associate-*r/ p16-flip--
1×+-commutative associate-/r* associate-*r* *-commutative
Counts
4 → 7
Calls
4 calls:
Slowest
42.0ms
(*.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
16.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
11.0ms
(+.p16 (/.p16 (+.p16 alpha beta) (*.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))) (real->posit16 1.0))
5.0ms
(/.p16 (+.p16 alpha beta) (*.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.0ms
(/.p16 (+.p16 alpha beta) (*.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))))
0.0ms
(+.p16 (/.p16 (+.p16 alpha beta) (*.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))) (real->posit16 1.0))
0.0ms
(*.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))

simplify65.0ms

Counts
9 → 11
Calls
9 calls:
Slowest
55.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
1.0ms
(-.p16 beta alpha)
1.0ms
(-.p16 beta alpha)
1.0ms
(+.p16 alpha beta)
1.0ms
(+.p16 beta alpha)

prune546.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.3b

localize466.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.6b
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.2b
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
0.2b
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (real->posit16 1.0))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/r/
2×p16-flip--
1×+-commutative associate-/r* associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
36.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
13.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
11.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (real->posit16 1.0))
10.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (real->posit16 1.0))
0.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
0.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))

simplify259.0ms

Counts
8 → 9
Calls
8 calls:
Slowest
70.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
70.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
57.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
56.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
1.0ms
(-.p16 beta alpha)

prune346.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.3b

regimes1.3s

Accuracy

-∞% (-63.3b remaining)

Error of 0.7b against oracle of 64.0b and baseline of 64.0b

bsearch5.0ms

end0.0ms

sample13.3s

Algorithm
halfpoints
Results