Details

Time bar (total: 12.1s)

sample641.0ms

Algorithm
halfpoints
Results

simplify103.0ms

Calls
1 calls:
Slowest
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)))

prune105.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize431.0ms

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))))
0.3b
(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.2b
(/.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))))
0.1b
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-+l+
1×associate-/l/
Calls
4 calls:
Slowest
24.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
22.0ms
(/.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))))
8.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
5.0ms
(+.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))

simplify430.0ms

Calls
6 calls:
Slowest
143.0ms
(/.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)))
91.0ms
(/.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)))
89.0ms
(/.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)))
89.0ms
(/.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))

prune629.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize235.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.3b
(+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))
0.2b
(/.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))))
0.2b
(+.p16 (*.p16 beta alpha) (real->posit16 1.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+l+ associate-+r+ associate-/l/
Calls
4 calls:
Slowest
25.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
8.0ms
(/.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))))
5.0ms
(+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))
2.0ms
(+.p16 (*.p16 beta alpha) (real->posit16 1.0))

series1.0ms

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

simplify20.0ms

Calls
6 calls:
Slowest
14.0ms
(+.p16 (+.p16 alpha beta) (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))
1.0ms
(real->posit16 1.0)
1.0ms
(+.p16 alpha beta)
1.0ms
(+.p16 alpha beta)
1.0ms
(+.p16 alpha beta)

prune563.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize178.0ms

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

rewrite18.0ms

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

simplify35.0ms

Calls
2 calls:
Slowest
32.0ms
(+.p16 (+.p16 alpha (+.p16 beta (*.p16 beta alpha))) (real->posit16 1.0))
2.0ms
(*.p16 beta alpha)

prune646.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize167.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative associate-+r+
1×associate-/l/
Calls
4 calls:
Slowest
6.0ms
(/.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 (+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
4.0ms
(+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0))))
2.0ms
(+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0)))

series0.0ms

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)))

simplify43.0ms

Calls
3 calls:
Slowest
37.0ms
(+.p16 alpha (+.p16 beta (+.p16 (*.p16 beta alpha) (real->posit16 1.0))))
4.0ms
(+.p16 (*.p16 beta alpha) (real->posit16 1.0))
1.0ms
(real->posit16 1.0)

prune501.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes629.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch4.0ms

end0.0ms

sample6.6s

Algorithm
halfpoints
Results