Details

Time bar (total: 24.4s)

sample528.0ms

Algorithm
halfpoints
Results

simplify137.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
137.0ms
(/.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))

prune74.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize249.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.6b
(/.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)))
0.2b
(+.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))
0.1b
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-/l/
1×associate-+l+ associate-*r/ p16-flip-- associate-/l*
Counts
4 → 6
Calls
4 calls:
Slowest
51.0ms
(/.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)))
35.0ms
(+.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))
20.0ms
(/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
18.0ms
(+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))

series1.0ms

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

simplify521.0ms

Counts
7 → 10
Calls
7 calls:
Slowest
135.0ms
(/.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))
120.0ms
(/.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))
107.0ms
(/.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))
91.0ms
(/.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))
54.0ms
(*.p16 (+.p16 alpha beta) (-.p16 (*.p16 beta beta) (*.p16 alpha alpha)))

prune467.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize306.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
0.6b
(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
0.3b
(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))
0.2b
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))

rewrite376.0ms

Algorithm
rewrite-expression-head
Rules
4×associate-/r/
2×p16-flip--
1×+-commutative associate-/r* associate-/l* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
232.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
101.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
24.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))
18.0ms
(/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha)))

series0.0ms

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

simplify51.0ms

Counts
9 → 10
Calls
9 calls:
Slowest
31.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
3.0ms
(+.p16 alpha beta)
2.0ms
(-.p16 beta alpha)
2.0ms
(+.p16 alpha beta)
2.0ms
(+.p16 beta alpha)

prune641.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

localize432.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.6b
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
0.2b
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)))
0.2b
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/r/
2×p16-flip--
1×+-commutative associate-/r* associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
97.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
40.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha)))
9.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))
9.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))

series0.0ms

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

simplify114.0ms

Counts
8 → 9
Calls
8 calls:
Slowest
32.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
30.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
29.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
17.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
1.0ms
(-.p16 beta alpha)

prune557.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.4b

localize354.0ms

Local error

Found 4 expressions with local error:

0.7b
(*.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (-.p16 beta alpha))
0.6b
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
0.2b
(+.p16 (*.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (-.p16 beta alpha)) (real->posit16 1.0))
0.2b
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
4×sub-neg
2×distribute-rgt-in associate-+l+ distribute-lft-in
1×+-commutative associate-*l/ associate-*r/ p16-flip-- *-commutative associate-/l/
Counts
4 → 9
Calls
4 calls:
Slowest
31.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
12.0ms
(+.p16 (*.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (-.p16 beta alpha)) (real->posit16 1.0))
8.0ms
(/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))
5.0ms
(*.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (-.p16 beta alpha))

series0.0ms

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

simplify3.1s

Counts
11 → 13
Calls
11 calls:
Slowest
742.0ms
(*.p16 (neg.p16 alpha) (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))))
737.0ms
(*.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (neg.p16 alpha))
730.0ms
(*.p16 beta (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))))
595.0ms
(*.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) beta)
270.0ms
(*.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (-.p16 beta alpha))

prune597.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.4b

regimes957.0ms

Accuracy

-∞% (-63.4b remaining)

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

bsearch6.0ms

end0.0ms

sample14.6s

Algorithm
halfpoints
Results