Details

Time bar (total: 12.5s)

sample300.0ms

Algorithm
halfpoints
Results

simplify476.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
475.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize170.0ms

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))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
16.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
13.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
11.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
8.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (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))

simplify1.8s

Counts
5 → 8
Calls
5 calls:
Slowest
517.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
495.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
408.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
392.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
6.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))

prune251.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize161.0ms

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
13.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
10.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
4.0ms
(/.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)))

simplify8.0ms

Counts
2 → 8
Calls
2 calls:
Slowest
6.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))
1.0ms
(real->posit16 2.0)

prune295.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize297.0ms

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

rewrite25.0ms

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 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))
5.0ms
(+.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))
4.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha)))
4.0ms
(+.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)))

simplify427.0ms

Counts
12 → 14
Calls
12 calls:
Slowest
76.0ms
(/.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))
76.0ms
(/.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))
74.0ms
(/.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))
73.0ms
(/.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))
39.0ms
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

prune811.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize345.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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
8.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))))
6.0ms
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.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 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))))
0.0ms
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))) (real->posit16 1.0))
0.0ms
(*.p16 (+.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
0.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

simplify103.0ms

Counts
8 → 14
Calls
8 calls:
Slowest
39.0ms
(*.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))
19.0ms
(*.p16 (+.p16 beta (real->posit16 2.0)) (+.p16 beta alpha))
17.0ms
(*.p16 (+.p16 beta alpha) (+.p16 beta (real->posit16 2.0)))
12.0ms
(/.p16 (+.p16 alpha beta) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
8.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

prune584.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.6b

regimes534.0ms

Accuracy

-∞% (-63.3b remaining)

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

bsearch4.0ms

end0.0ms

sample5.8s

Algorithm
halfpoints
Results