Details

Time bar (total: 12.3s)

sample151.0ms

Algorithm
halfpoints
Results

simplify381.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
381.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize144.0ms

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))

rewrite435.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
382.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
25.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
16.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
12.0ms
(+.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 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (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))

simplify1.7s

Counts
5 → 8
Calls
5 calls:
Slowest
550.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
433.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
363.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
328.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
12.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))

prune358.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.8b

localize195.0ms

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))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
22.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
13.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
9.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
9.0ms
(/.p16 (-.p16 beta alpha) (+.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)))

simplify21.0ms

Counts
2 → 8
Calls
2 calls:
Slowest
12.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))
2.0ms
(real->posit16 2.0)

prune364.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.8b

localize343.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×distribute-rgt-in associate-+r+ associate-/r* distribute-lft-in p16-times-frac associate-*l/ p16-flip-- *-commutative associate-/l* associate-/l/
Counts
4 → 10
Calls
4 calls:
Slowest
12.0ms
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0))
11.0ms
(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))
9.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha)))
8.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

series0.0ms

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

simplify698.0ms

Counts
12 → 14
Calls
12 calls:
Slowest
142.0ms
(/.p16 (+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
126.0ms
(/.p16 (+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
106.0ms
(/.p16 (+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
106.0ms
(/.p16 (+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))) (real->posit16 1.0)) (real->posit16 2.0))
67.0ms
(*.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))

prune566.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.6b

localize202.0ms

Local error

Found 4 expressions with local error:

1.2b
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
0.4b
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.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))
0.1b
(*.p16 (-.p16 beta alpha) (+.p16 alpha beta))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
2×distribute-rgt-in distribute-lft-in associate-*l/ p16-flip-- *-commutative
1×+-commutative associate-/r* p16-times-frac associate-/l* associate-/l/
Counts
4 → 12
Calls
4 calls:
Slowest
13.0ms
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
8.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))
4.0ms
(*.p16 (-.p16 beta alpha) (+.p16 alpha beta))
4.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))

series0.0ms

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

simplify201.0ms

Counts
14 → 16
Calls
14 calls:
Slowest
72.0ms
(*.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))
39.0ms
(*.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))
36.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
16.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) alpha)
14.0ms
(*.p16 alpha (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

prune713.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.6b

regimes492.0ms

Accuracy

-∞% (-63.3b remaining)

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

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm
halfpoints
Results