Details

Time bar (total: 54.1s)

sample253.0ms

Algorithm
halfpoints
Results

simplify20.6s

Counts
1 → 1

prune47.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize202.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
0.3b
(+.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))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
27.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
26.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
18.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
14.0ms
(+.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))

simplify820.0ms

Counts
8 → 8

prune365.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize269.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
0.3b
(+.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))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
25.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
24.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
10.0ms
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
9.0ms
(+.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)))

simplify1.9s

Counts
8 → 8

prune260.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize412.0ms

Local error

Found 4 expressions with local error:

1.1b
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
0.3b
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))
0.3b
(+.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))
0.2b
(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))

rewrite50.0ms

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
19.0ms
(+.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))
17.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
8.0ms
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
6.0ms
(-.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))

simplify3.0s

Counts
15 → 15

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.4b

localize267.0ms

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

rewrite22.0ms

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 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha))) (real->posit16 1.0))
4.0ms
(/.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 (+.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)))

simplify18.3s

Counts
9 → 9

prune393.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.4b

regimes685.0ms

Accuracy

-∞% (-63.3b remaining)

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

bsearch3.0ms

end0.0ms

sample5.0s

Algorithm
halfpoints
Results