Details

Time bar (total: 14.5s)

sample160.0ms

Algorithm
halfpoints
Results

simplify408.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
407.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize215.0ms

Local error

Found 4 expressions with local error:

0.5b
(/.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))) (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))

rewrite57.0ms

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))
15.0ms
(/.p16 (-.p16 beta alpha) (+.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))
12.0ms
(/.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))

simplify1.9s

Counts
5 → 8
Calls
5 calls:
Slowest
611.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
590.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
337.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
314.0ms
(/.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))

prune351.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize152.0ms

Local error

Found 4 expressions with local error:

0.5b
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
0.3b
(+.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))

rewrite36.0ms

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

prune190.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize313.0ms

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

rewrite28.0ms

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

simplify470.0ms

Counts
12 → 14
Calls
12 calls:
Slowest
102.0ms
(/.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))
80.0ms
(/.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))
78.0ms
(/.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))
75.0ms
(/.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))
37.0ms
(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.4b

localize381.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
0.7b
(/.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (+.p16 alpha beta))
0.3b
(+.p16 (/.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (+.p16 alpha beta)) (real->posit16 1.0))
0.2b
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-/l/
1×associate-+r+ associate-*l/ p16-flip-- associate-/l*
Counts
4 → 6
Calls
4 calls:
Slowest
29.0ms
(+.p16 (/.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (+.p16 alpha beta)) (real->posit16 1.0))
17.0ms
(/.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (+.p16 alpha beta))
14.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
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 alpha (+.p16 beta (real->posit16 2.0))))
0.0ms
(/.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (+.p16 alpha beta))
0.0ms
(+.p16 (/.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (+.p16 alpha beta)) (real->posit16 1.0))
0.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

simplify2.8s

Counts
8 → 10
Calls
8 calls:
Slowest
714.0ms
(/.p16 (+.p16 (/.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (+.p16 alpha beta)) (real->posit16 1.0)) (real->posit16 2.0))
704.0ms
(/.p16 (+.p16 (/.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (+.p16 alpha beta)) (real->posit16 1.0)) (real->posit16 2.0))
633.0ms
(/.p16 (+.p16 (/.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (+.p16 alpha beta)) (real->posit16 1.0)) (real->posit16 2.0))
616.0ms
(/.p16 (+.p16 (/.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (+.p16 alpha beta)) (real->posit16 1.0)) (real->posit16 2.0))
78.0ms
(*.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))

prune303.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.4b

regimes541.0ms

Accuracy

-∞% (-63.3b remaining)

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

bsearch3.0ms

end0.0ms

sample5.1s

Algorithm
halfpoints
Results