Details

Time bar (total: 56.6s)

sample141.0ms

Algorithm
halfpoints
Results

simplify19.9s

Counts
1 → 1

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize209.0ms

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))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
18.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
16.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
13.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
13.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

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 alpha beta) (real->posit16 2.0))
0.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

simplify907.0ms

Counts
8 → 8

prune234.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize155.0ms

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))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
15.0ms
(/.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))))
4.0ms
(+.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 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (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 alpha (+.p16 beta (real->posit16 2.0)))

simplify1.8s

Counts
8 → 8

prune643.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize380.0ms

Local error

Found 4 expressions with local error:

1.3b
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha)))
0.4b
(+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 alpha (+.p16 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 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))

rewrite30.0ms

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
12.0ms
(+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0))
9.0ms
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha)))
6.0ms
(*.p16 (+.p16 alpha (+.p16 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 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha)))
0.0ms
(+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0))
0.0ms
(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))
0.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))

simplify3.6s

Counts
15 → 15

prune813.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize266.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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

series0.0ms

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

simplify19.9s

Counts
9 → 9

prune474.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

regimes770.0ms

Accuracy

-∞% (-63.3b remaining)

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

bsearch5.0ms

end0.0ms

sample6.1s

Algorithm
halfpoints
Results