Details

Time bar (total: 52.6s)

sample243.0ms

Algorithm
halfpoints
Results

simplify20.4s

Counts
1 → 1

prune62.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize242.0ms

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
23.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
17.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
15.0ms
(/.p16 (-.p16 beta alpha) (+.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))

simplify1.1s

Counts
8 → 8

prune278.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.8b

localize398.0ms

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

rewrite59.0ms

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 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))) (real->posit16 1.0))
16.0ms
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha)))
16.0ms
(*.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))

simplify3.1s

Counts
15 → 15

prune723.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize352.0ms

Local error

Found 4 expressions with local error:

0.8b
(/.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 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))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
18.0ms
(/.p16 (-.p16 beta alpha) (+.p16 beta alpha))
17.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
9.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (/.p16 (-.p16 beta alpha) (+.p16 beta alpha)))
7.0ms
(+.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)))

simplify16.2s

Counts
9 → 9

prune379.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

localize319.0ms

Local error

Found 4 expressions with local error:

0.8b
(/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 beta alpha))
0.4b
(+.p16 (/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 beta alpha)) (real->posit16 1.0))
0.4b
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
0.2b
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (-.p16 beta alpha))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg associate-*l/ associate-*r/ p16-flip-- associate-/l/
1×distribute-rgt-in +-commutative distribute-lft-in *-commutative associate-/l*
Counts
4 → 9
Calls
4 calls:
Slowest
25.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
18.0ms
(+.p16 (/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 beta alpha)) (real->posit16 1.0))
10.0ms
(/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 beta alpha))
10.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.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 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (-.p16 beta alpha)) (+.p16 beta alpha))
0.0ms
(+.p16 (/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (-.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 beta alpha))
0.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

simplify1.9s

Counts
13 → 13

prune1.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.6b

regimes706.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch3.0ms

end0.0ms

sample4.9s

Algorithm
halfpoints
Results