Details

Time bar (total: 30.3s)

sample588.0ms

Algorithm
halfpoints
Results

simplify971.0ms

Counts
1 → 1

prune108.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize318.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.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)))
0.3b
(+.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))
0.1b
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

rewrite130.0ms

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
50.0ms
(+.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))
42.0ms
(/.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)))
20.0ms
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
18.0ms
(+.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))

simplify2.1s

Counts
10 → 10

prune605.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize275.0ms

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)))
0.3b
(+.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))

rewrite766.0ms

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
428.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
205.0ms
(+.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))
114.0ms
(/.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)))
19.0ms
(/.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)))

simplify1.4s

Counts
10 → 10

prune466.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.4b

localize261.0ms

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))
0.3b
(+.p16 (/.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))) (real->posit16 1.0))
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)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/r/
2×p16-flip--
1×+-commutative associate-/r* associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
56.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
46.0ms
(/.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)))
17.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
10.0ms
(+.p16 (/.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))) (real->posit16 1.0))

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 (+.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))) (real->posit16 1.0))
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))

simplify1.5s

Counts
9 → 9

prune557.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.4b

localize340.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/r/
2×associate-*l/ p16-flip--
1×distribute-rgt-in +-commutative associate-/r* distribute-lft-in associate-*l* *-commutative
Counts
4 → 9
Calls
4 calls:
Slowest
60.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
48.0ms
(*.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
9.0ms
(+.p16 (/.p16 (+.p16 alpha beta) (*.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0))
9.0ms
(/.p16 (+.p16 alpha beta) (*.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)) (+.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 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))))
0.0ms
(+.p16 (/.p16 (+.p16 alpha beta) (*.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0))
0.0ms
(*.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))

simplify3.0s

Counts
13 → 13

prune573.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.3b

regimes1.2s

Accuracy

0% (0.3b remaining)

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

bsearch7.0ms

end0.0ms

sample14.8s

Algorithm
halfpoints
Results