Details

Time bar (total: 19.3s)

sample268.0ms

Algorithm
halfpoints
Results

simplify351.0ms

Calls
1 calls:
Slowest
351.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune56.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize329.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.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))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ p16-flip-- associate-/l/
Calls
4 calls:
Slowest
20.0ms
(/.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 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
5.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))
4.0ms
(+.p16 (+.p16 alpha beta) (real->posit16 2.0))

series0.0ms

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

simplify1.9s

Calls
5 calls:
Slowest
589.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
489.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
454.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
379.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
12.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))

prune641.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize294.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.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))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ p16-flip-- associate-/l/
Calls
4 calls:
Slowest
12.0ms
(/.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 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
3.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

series0.0ms

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)))

simplify15.0ms

Calls
2 calls:
Slowest
12.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))
2.0ms
(real->posit16 2.0)

prune599.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize383.0ms

Local error

Found 4 expressions with local error:

1.4b
(/.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/
Calls
4 calls:
Slowest
11.0ms
(+.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))
7.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha)))
5.0ms
(*.p16 (+.p16 alpha (+.p16 beta (real->posit16 2.0))) (+.p16 beta alpha))
3.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

series0.0ms

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)))

simplify671.0ms

Calls
12 calls:
Slowest
130.0ms
(/.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))
115.0ms
(/.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))
98.0ms
(/.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))
97.0ms
(/.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 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.6b

localize201.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-/l/
1×associate-+r+ associate-*l/ p16-flip-- associate-/l*
Calls
4 calls:
Slowest
15.0ms
(+.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))
8.0ms
(/.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (+.p16 alpha beta))
7.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 alpha beta)) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))
4.0ms
(+.p16 alpha (+.p16 beta (real->posit16 2.0)))

series0.0ms

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

simplify3.4s

Calls
8 calls:
Slowest
880.0ms
(/.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))
840.0ms
(/.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))
822.0ms
(/.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))
781.0ms
(/.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))
41.0ms
(*.p16 (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)) (+.p16 alpha beta))

prune945.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.6b

regimes1.1s

Accuracy

-∞% (-63.2b remaining)

Error of 0.8b against oracle of 64.0b and baseline of 64.0b

bsearch10.0ms

end0.0ms

sample6.9s

Algorithm
halfpoints
Results