Details

Time bar (total: 12.1s)

sample283.0ms

Algorithm
halfpoints
Results

simplify93.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
93.0ms
(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))

prune114.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize393.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.4b
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.3b
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.2b
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-+l+
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
95.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
78.0ms
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
44.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
10.0ms
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))

simplify816.0ms

Counts
7 → 9
Calls
7 calls:
Slowest
422.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
103.0ms
(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
99.0ms
(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
97.0ms
(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
86.0ms
(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))

prune409.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize351.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.3b
(+.p16 beta (*.p16 beta alpha))
0.3b
(/.p16 (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.2b
(+.p16 alpha (+.p16 beta (*.p16 beta alpha)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ associate-/l/
Counts
4 → 4
Calls
4 calls:
Slowest
42.0ms
(/.p16 (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
23.0ms
(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
8.0ms
(+.p16 alpha (+.p16 beta (*.p16 beta alpha)))
3.0ms
(+.p16 beta (*.p16 beta alpha))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(+.p16 alpha (+.p16 beta (*.p16 beta alpha)))
0.0ms
(/.p16 (/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(+.p16 beta (*.p16 beta alpha))

simplify382.0ms

Counts
6 → 8
Calls
6 calls:
Slowest
367.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
3.0ms
(+.p16 beta (*.p16 beta alpha))
3.0ms
(+.p16 beta (*.p16 beta alpha))
3.0ms
(+.p16 beta (*.p16 beta alpha))
3.0ms
(+.p16 beta (*.p16 beta alpha))

prune243.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize308.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.4b
(+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))
0.3b
(/.p16 (/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.1b
(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))

rewrite435.0ms

Algorithm
rewrite-expression-head
Rules
2×associate-/l/
1×+-commutative associate-+l+ associate-+r+
Counts
4 → 5
Calls
4 calls:
Slowest
335.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
45.0ms
(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
36.0ms
(/.p16 (/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
20.0ms
(+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(/.p16 (/.p16 (/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
0.0ms
(/.p16 (/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))

simplify492.0ms

Counts
8 → 9
Calls
8 calls:
Slowest
311.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
139.0ms
(*.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
9.0ms
(+.p16 (*.p16 beta alpha) (real->posit16 1.0))
9.0ms
(+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))
7.0ms
(+.p16 (*.p16 beta alpha) (real->posit16 1.0))

prune521.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize321.0ms

Local error

Found 4 expressions with local error:

0.6b
(/.p16 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.3b
(+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0))))
0.3b
(/.p16 (/.p16 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.2b
(+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-+r+
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
19.0ms
(/.p16 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
13.0ms
(/.p16 (/.p16 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
6.0ms
(+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0))))
4.0ms
(+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(/.p16 (/.p16 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms
(+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0))))
0.0ms
(+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))

simplify407.0ms

Counts
7 → 9
Calls
7 calls:
Slowest
355.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
14.0ms
(+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))
14.0ms
(+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))
9.0ms
(+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))
9.0ms
(+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))

prune241.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes359.0ms

Accuracy

-∞% (-63.6b remaining)

Error of 0.4b against oracle of 64.0b and baseline of 64.0b

bsearch8.0ms

end0.0ms

sample5.5s

Algorithm
halfpoints
Results