Details

Time bar (total: 42.9s)

sample896.0ms

Algorithm
halfpoints
Results

simplify953.0ms

Counts
1 → 1

prune122.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize419.0ms

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)))

rewrite71.0ms

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
33.0ms
(*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)))
28.0ms
(+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i))
6.0ms
(+.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))
4.0ms
(/.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))

simplify572.0ms

Counts
14 → 14

prune776.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize321.0ms

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))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
14.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
13.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)))
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))

series1.0ms

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

simplify7.8s

Counts
9 → 9

prune486.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize366.0ms

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))

rewrite111.0ms

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
63.0ms
(+.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))
35.0ms
(/.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)))
7.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
4.0ms
(*.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 (-.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 (-.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 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha))

simplify2.0s

Counts
12 → 12

prune671.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize376.0ms

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))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
30.0ms
(+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i))
25.0ms
(/.p16 (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)) (+.p16 beta alpha))
15.0ms
(+.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))
7.0ms
(/.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 (-.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 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i)) (+.p16 beta alpha))
0.0ms
(+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i))

simplify11.9s

Counts
8 → 8

prune206.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.3b

regimes787.0ms

Accuracy

0% (0.2b remaining)

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

bsearch7.0ms

end0.0ms

sample13.9s

Algorithm
halfpoints
Results