Details

Time bar (total: 41.9s)

sample646.0ms

Algorithm
halfpoints
Results

simplify914.0ms

Counts
1 → 1

prune66.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize337.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×distribute-rgt-in associate-+l+ associate-/r* distribute-lft-in p16-times-frac associate-*l/ p16-flip-- *-commutative associate-/l* associate-/l/
Counts
4 → 10
Calls
4 calls:
Slowest
34.0ms
(*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)))
27.0ms
(+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i))
11.0ms
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0))
8.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i))))

series0.0ms

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

simplify697.0ms

Counts
14 → 14

prune707.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize335.0ms

Local error

Found 4 expressions with local error:

0.5b
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)))
0.5b
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.2b
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i))))
0.2b
(+.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
13.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)))
10.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
9.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i))))
7.0ms
(+.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0))

series0.0ms

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

simplify8.1s

Counts
9 → 9

prune448.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize331.0ms

Local error

Found 4 expressions with local error:

0.5b
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.5b
(/.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha)) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)))
0.3b
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha))
0.2b
(+.p16 (/.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha)) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i))) (real->posit16 1.0))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
2×associate-*l/ associate-/l/
1×distribute-rgt-in +-commutative distribute-lft-in p16-flip-- *-commutative associate-/l*
Counts
4 → 8
Calls
4 calls:
Slowest
102.0ms
(+.p16 (/.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha)) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i))) (real->posit16 1.0))
38.0ms
(/.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha)) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)))
15.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
7.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha))

series0.0ms

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

simplify1.9s

Counts
12 → 12

prune589.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize292.0ms

Local error

Found 4 expressions with local error:

0.5b
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.5b
(/.p16 (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)) (+.p16 beta alpha))
0.2b
(+.p16 (/.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)) (+.p16 beta alpha))) (real->posit16 1.0))
0.2b
(+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
28.0ms
(/.p16 (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)) (+.p16 beta alpha))
14.0ms
(+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i))
9.0ms
(+.p16 (/.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)) (+.p16 beta alpha))) (real->posit16 1.0))
8.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))

series0.0ms

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

simplify11.1s

Counts
8 → 8

prune266.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.3b

regimes922.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch7.0ms

end0.0ms

sample14.0s

Algorithm
halfpoints
Results