Details

Time bar (total: 12.4s)

sample163.0ms

Algorithm
halfpoints
Results

simplify858.0ms

Counts
1 → 1

prune53.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize183.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
0.4b
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.1b
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.0b
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
13.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
12.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
8.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
7.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))

series0.0ms

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

simplify898.0ms

Counts
6 → 8

prune204.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.8b

localize163.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
0.4b
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
0.2b
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
0.0b
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
12.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
7.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
5.0ms
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
5.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

series0.0ms

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

simplify929.0ms

Counts
6 → 8

prune344.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.8b

localize338.0ms

Local error

Found 4 expressions with local error:

1.2b
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
0.4b
(+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
0.3b
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))
0.2b
(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
3×difference-of-squares
2×p16-flip--
1×distribute-rgt-in +-commutative associate-/r* sub-neg distribute-lft-in p16-times-frac *-commutative associate-/l* associate-/l/
Counts
4 → 11
Calls
4 calls:
Slowest
10.0ms
(+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
9.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
4.0ms
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
3.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))

series0.0ms

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

simplify298.0ms

Counts
18 → 15

prune808.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.6b

localize225.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (-.p16 beta alpha) (+.p16 beta alpha))
0.4b
(+.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha))) (real->posit16 1.0))
0.4b
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha)))
0.3b
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
9.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
5.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha)))
4.0ms
(/.p16 (-.p16 beta alpha) (+.p16 beta alpha))
4.0ms
(+.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha))) (real->posit16 1.0))

series0.0ms

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

simplify277.0ms

Counts
11 → 9

prune297.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.6b

regimes733.0ms

Accuracy

-∞% (-63.3b remaining)

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

bsearch4.0ms

end0.0ms

sample5.5s

Algorithm
halfpoints
Results