Details

Time bar (total: 30.3s)

sample619.0ms

Algorithm
halfpoints
Results

simplify539.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
539.0ms
(/.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))

prune86.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize355.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.5b
(/.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 alpha beta) (*.p16 (real->posit16 2) i))
0.2b
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-+l+ associate-/l/
1×associate-*r/ p16-flip-- associate-/l*
Counts
4 → 7
Calls
4 calls:
Slowest
72.0ms
(/.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)))
25.0ms
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
10.0ms
(+.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 alpha beta) (*.p16 (real->posit16 2) i))
0.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

simplify827.0ms

Counts
9 → 11
Calls
9 calls:
Slowest
165.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (+.p16 beta alpha))
127.0ms
(/.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))
123.0ms
(*.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
115.0ms
(/.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))
106.0ms
(/.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))

prune548.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize384.0ms

Local error

Found 4 expressions with local error:

0.5b
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.5b
(/.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 alpha beta) (*.p16 (real->posit16 2) i))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
4×associate-/r/
2×p16-flip--
1×+-commutative associate-+l+ associate-/r* associate-/l* associate-/l/
Counts
4 → 7
Calls
4 calls:
Slowest
93.0ms
(/.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)))
14.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
12.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
9.0ms
(/.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 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
0.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

simplify1.3s

Counts
10 → 11
Calls
10 calls:
Slowest
570.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
221.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)))
180.0ms
(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 (*.p16 beta beta) (*.p16 alpha alpha))))
83.0ms
(*.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)))
57.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))

prune584.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize286.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.5b
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
0.2b
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)))
0.2b
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/r/
2×p16-flip--
1×+-commutative associate-+l+ associate-/r* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
83.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
35.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)))
18.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))
9.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))

series0.0ms

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

simplify4.4s

Counts
9 → 10
Calls
9 calls:
Slowest
754.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
751.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
717.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
656.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 (*.p16 beta beta) (*.p16 alpha alpha))))
648.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))

prune728.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize555.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.5b
(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 beta alpha))
0.2b
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 beta alpha)))
0.2b
(+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/r/
2×p16-flip--
1×+-commutative associate-+r+ associate-/r* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
40.0ms
(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 beta alpha))
30.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
20.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 beta alpha)))
4.0ms
(+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i)))

series0.0ms

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

simplify1.9s

Counts
9 → 10
Calls
9 calls:
Slowest
820.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i))) (real->posit16 2.0)))
677.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 (*.p16 beta beta) (*.p16 alpha alpha))))
197.0ms
(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)))
178.0ms
(*.p16 (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) i))) (real->posit16 2.0)) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
8.0ms
(+.p16 beta (*.p16 (real->posit16 2) i))

prune520.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

regimes986.0ms

Accuracy

-∞% (-63.4b remaining)

Error of 0.6b against oracle of 64.0b and baseline of 64.0b

bsearch4.0ms

end0.0ms

sample15.2s

Algorithm
halfpoints
Results