Details

Time bar (total: 17.1s)

sample180.0ms

Algorithm
halfpoints
Results

simplify547.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
547.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize157.0ms

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))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
24.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
14.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
7.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
7.0ms
(+.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))

simplify2.0s

Counts
6 → 8
Calls
6 calls:
Slowest
525.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
511.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
465.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
428.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
62.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (+.p16 beta alpha))

prune254.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize151.0ms

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))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
11.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
6.0ms
(+.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)))

simplify177.0ms

Counts
6 → 8
Calls
6 calls:
Slowest
153.0ms
(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))
5.0ms
(+.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))

prune331.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize397.0ms

Local error

Found 4 expressions with local error:

1.3b
(/.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 alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
0.2b
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))

rewrite41.0ms

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 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))) (real->posit16 1.0))
11.0ms
(*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
8.0ms
(/.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))))
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 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 beta) (*.p16 alpha alpha))
0.0ms
(*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))

simplify3.8s

Counts
18 → 15
Calls
18 calls:
Slowest
1.2s
(/.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))
715.0ms
(/.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))
703.0ms
(/.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))
664.0ms
(/.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))
239.0ms
(/.p16 (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.6b

localize344.0ms

Local error

Found 4 expressions with local error:

1.3b
(/.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))
0.3b
(*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
0.1b
(*.p16 (+.p16 beta alpha) (-.p16 beta alpha))

rewrite30.0ms

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
13.0ms
(+.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))
8.0ms
(*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
4.0ms
(/.p16 (*.p16 (+.p16 beta alpha) (-.p16 beta alpha)) (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))))
4.0ms
(*.p16 (+.p16 beta alpha) (-.p16 beta alpha))

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))

simplify565.0ms

Counts
22 → 16
Calls
22 calls:
Slowest
242.0ms
(/.p16 (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))
146.0ms
(*.p16 (*.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (+.p16 beta alpha))
39.0ms
(*.p16 (+.p16 beta alpha) (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)))
33.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 beta alpha) (real->posit16 2.0)))
26.0ms
(/.p16 (*.p16 (+.p16 beta alpha) (-.p16 beta alpha)) (+.p16 beta alpha))

prune706.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.6b

regimes429.0ms

Accuracy

-∞% (-63.3b remaining)

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

bsearch3.0ms

end0.0ms

sample5.8s

Algorithm
halfpoints
Results