Details

Time bar (total: 34.4s)

sample1.3s

Algorithm
halfpoints
Results

simplify131.0ms

Calls
1 calls:
Slowest
130.0ms
(/.p16 (+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))

prune161.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize725.0ms

Local error

Found 4 expressions with local error:

1.3b
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
0.2b
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))
0.2b
(+.p16 beta (+.p16 alpha (real->posit16 2.0)))
0.2b
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
3×+-commutative
1×associate-+l+ associate-+r+ associate-/r* p16-times-frac associate-*l/ p16-flip-- associate-/l* associate-/l/
Calls
4 calls:
Slowest
11.0ms
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0))
10.0ms
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))
7.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
3.0ms
(+.p16 beta (+.p16 alpha (real->posit16 2.0)))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
0.0ms
(+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0))
0.0ms
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))
0.0ms
(+.p16 beta (+.p16 alpha (real->posit16 2.0)))

simplify1.4s

Calls
10 calls:
Slowest
303.0ms
(/.p16 (+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0)) (real->posit16 2.0))
283.0ms
(/.p16 (+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0)) (real->posit16 2.0))
259.0ms
(/.p16 (+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0)) (real->posit16 2.0))
250.0ms
(/.p16 (+.p16 (/.p16 (*.p16 (-.p16 beta alpha) (+.p16 beta alpha)) (*.p16 (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))) (real->posit16 1.0)) (real->posit16 2.0))
105.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize273.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.3b
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
0.2b
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-+l+ associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
Calls
4 calls:
Slowest
7.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))
5.0ms
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))
4.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
3.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))
0.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.0ms
(+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))

simplify882.0ms

Calls
11 calls:
Slowest
273.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i))))
106.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
83.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
79.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))
76.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta (+.p16 alpha (real->posit16 2.0))) (*.p16 (real->posit16 2) i)))

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize271.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.3b
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
0.2b
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-+r+ associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
Calls
4 calls:
Slowest
4.0ms
(/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
4.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))
3.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
2.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
0.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))

simplify298.0ms

Calls
4 calls:
Slowest
259.0ms
(*.p16 (-.p16 beta alpha) (/.p16 (+.p16 beta alpha) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))))
29.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))
6.0ms
(-.p16 (*.p16 beta beta) (*.p16 alpha alpha))
3.0ms
(*.p16 (real->posit16 2) i)

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize236.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.5b
(/.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha)) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
0.3b
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha))
0.2b
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
2×associate-*l/ associate-/l/
1×distribute-rgt-in +-commutative associate-+r+ distribute-lft-in p16-flip-- *-commutative associate-/l*
Calls
4 calls:
Slowest
13.0ms
(/.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha)) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
8.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))
4.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
4.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
0.0ms
(/.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha)) (+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i))))
0.0ms
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha))
0.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))

simplify2.5s

Calls
11 calls:
Slowest
1.1s
(*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) alpha)
1.0s
(*.p16 alpha (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))))
113.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha)))
58.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))
57.0ms
(+.p16 beta (+.p16 (+.p16 alpha (real->posit16 2.0)) (*.p16 (real->posit16 2) i)))

prune1.1s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.3b

regimes2.4s

Accuracy

-∞% (-63.4b remaining)

Error of 0.6b against oracle of 64.0b and baseline of 64.0b

bsearch4.0ms

end0.0ms

sample19.0s

Algorithm
halfpoints
Results