Details

Time bar (total: 15.3s)

sample227.0ms

Algorithm
halfpoints
Results

simplify392.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
392.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune55.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize178.0ms

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))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
14.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
13.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
12.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
11.0ms
(/.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 (/.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))

simplify2.1s

Counts
6 → 8
Calls
6 calls:
Slowest
582.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
528.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
471.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
463.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
39.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.8b

localize152.0ms

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))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
16.0ms
(/.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 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)))

simplify171.0ms

Counts
6 → 8
Calls
6 calls:
Slowest
147.0ms
(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))
6.0ms
(+.p16 beta (real->posit16 2.0))
5.0ms
(+.p16 beta (real->posit16 2.0))
5.0ms
(+.p16 beta (real->posit16 2.0))
5.0ms
(+.p16 beta (real->posit16 2.0))

prune286.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.8b

localize287.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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
20.0ms
(*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
14.0ms
(+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0))
6.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))
4.0ms
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))))

series0.0ms

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

simplify3.5s

Counts
18 → 15
Calls
18 calls:
Slowest
1.1s
(/.p16 (+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
724.0ms
(/.p16 (+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
591.0ms
(/.p16 (+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
578.0ms
(/.p16 (+.p16 (/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
240.0ms
(/.p16 (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))

prune715.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize256.0ms

Local error

Found 4 expressions with local error:

1.2b
(/.p16 (*.p16 (+.p16 beta alpha) (-.p16 beta alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))))
0.4b
(+.p16 (/.p16 (*.p16 (+.p16 beta alpha) (-.p16 beta alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0))
0.2b
(*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
0.1b
(*.p16 (+.p16 beta alpha) (-.p16 beta alpha))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ p16-flip-- *-commutative
1×+-commutative associate-/r* p16-times-frac associate-/l* associate-/l/
Counts
4 → 12
Calls
4 calls:
Slowest
9.0ms
(*.p16 (+.p16 beta alpha) (-.p16 beta alpha))
8.0ms
(*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
6.0ms
(+.p16 (/.p16 (*.p16 (+.p16 beta alpha) (-.p16 beta alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0))
4.0ms
(/.p16 (*.p16 (+.p16 beta alpha) (-.p16 beta alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))))

series0.0ms

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

simplify572.0ms

Counts
22 → 16
Calls
22 calls:
Slowest
235.0ms
(/.p16 (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))
92.0ms
(*.p16 (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (+.p16 beta alpha))
61.0ms
(*.p16 (+.p16 beta alpha) (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)))
59.0ms
(/.p16 (*.p16 (+.p16 beta alpha) (-.p16 beta alpha)) (+.p16 beta alpha))
31.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))

prune938.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

regimes492.0ms

Accuracy

-∞% (-63.3b remaining)

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

bsearch2.0ms

end0.0ms

sample4.7s

Algorithm
halfpoints
Results