Details

Time bar (total: 18.2s)

sample245.0ms

Algorithm
halfpoints
Results

simplify144.0ms

Calls
1 calls:
Slowest
144.0ms
(/.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)))

prune126.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize449.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.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))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-+l+
1×associate-/l/
Calls
4 calls:
Slowest
14.0ms
(/.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))))
11.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
7.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
2.0ms
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))

series0.0ms

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))

simplify519.0ms

Calls
6 calls:
Slowest
150.0ms
(/.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)))
146.0ms
(/.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)))
116.0ms
(/.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)))
88.0ms
(/.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)))
15.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))

prune637.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize237.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.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 (/.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))))
0.3b
(+.p16 alpha (+.p16 beta (*.p16 beta alpha)))
0.2b
(+.p16 beta (*.p16 beta alpha))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ associate-/l/
Calls
4 calls:
Slowest
12.0ms
(/.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))))
9.0ms
(/.p16 (+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
3.0ms
(+.p16 alpha (+.p16 beta (*.p16 beta alpha)))
2.0ms
(+.p16 beta (*.p16 beta alpha))

series0.0ms

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 (/.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 alpha (+.p16 beta (*.p16 beta alpha)))
0.0ms
(+.p16 beta (*.p16 beta alpha))

simplify50.0ms

Calls
2 calls:
Slowest
47.0ms
(+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0))
2.0ms
(*.p16 beta alpha)

prune574.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize293.0ms

Local error

Found 4 expressions with local error:

0.8b
(/.p16 (*.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 alpha (real->posit16 1.0))) (*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))))
0.3b
(*.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 alpha (real->posit16 1.0)))
0.2b
(*.p16 (+.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 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
2×distribute-rgt-in distribute-lft-in *-commutative
1×+-commutative associate-+l+ associate-/r* p16-times-frac associate-/l*
Calls
4 calls:
Slowest
8.0ms
(/.p16 (*.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 alpha (real->posit16 1.0))) (*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))))
7.0ms
(*.p16 (+.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 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))
5.0ms
(*.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 alpha (real->posit16 1.0)))

series0.0ms

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

simplify1.8s

Calls
12 calls:
Slowest
393.0ms
(/.p16 (/.p16 (*.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 alpha (real->posit16 1.0))) (*.p16 (+.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)))
391.0ms
(/.p16 (/.p16 (*.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 alpha (real->posit16 1.0))) (*.p16 (+.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)))
362.0ms
(/.p16 (/.p16 (*.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 alpha (real->posit16 1.0))) (*.p16 (+.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)))
361.0ms
(/.p16 (/.p16 (*.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 alpha (real->posit16 1.0))) (*.p16 (+.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)))
126.0ms
(*.p16 (*.p16 (real->posit16 2) (real->posit16 1)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))

prune1.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize248.0ms

Local error

Found 4 expressions with local error:

0.8b
(/.p16 (*.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 alpha (real->posit16 1.0))) (*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))))
0.3b
(*.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 alpha (real->posit16 1.0)))
0.2b
(*.p16 (+.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 (real->posit16 2) (real->posit16 1))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
2×distribute-rgt-in distribute-lft-in *-commutative
1×+-commutative associate-+r+ associate-/r* p16-times-frac associate-/l*
Calls
4 calls:
Slowest
8.0ms
(/.p16 (*.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 alpha (real->posit16 1.0))) (*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))))
8.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
5.0ms
(*.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 alpha (real->posit16 1.0)))
3.0ms
(+.p16 alpha (+.p16 beta (*.p16 (real->posit16 2) (real->posit16 1))))

series0.0ms

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

simplify447.0ms

Calls
9 calls:
Slowest
148.0ms
(*.p16 (*.p16 (real->posit16 2) (real->posit16 1)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
130.0ms
(*.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (*.p16 (real->posit16 2) (real->posit16 1)))
48.0ms
(/.p16 (+.p16 beta (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
40.0ms
(/.p16 (+.p16 alpha (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
24.0ms
(*.p16 (+.p16 beta (real->posit16 1.0)) (real->posit16 1.0))

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes768.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch6.0ms

end0.0ms

sample8.2s

Algorithm
halfpoints
Results