Details

Time bar (total: 17.1s)

sample221.0ms

Algorithm
halfpoints
Results

simplify118.0ms

Calls
1 calls:
Slowest
118.0ms
(/.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)))

prune117.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize420.0ms

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

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-+l+
5×+-commutative
1×associate-/l/
Calls
4 calls:
Slowest
134.0ms
(/.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))))
72.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
35.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
19.0ms
(+.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))

simplify392.0ms

Calls
7 calls:
Slowest
111.0ms
(/.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)))
87.0ms
(/.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)))
15.0ms
(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize191.0ms

Local error

Found 4 expressions with local error:

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

rewrite454.0ms

Algorithm
rewrite-expression-head
Rules
4×associate-+r+ associate-/l/
3×+-commutative
2×associate-+l+
Calls
4 calls:
Slowest
209.0ms
(/.p16 (/.p16 (/.p16 (+.p16 (*.p16 beta alpha) (+.p16 (+.p16 alpha beta) (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)))
128.0ms
(/.p16 (/.p16 (+.p16 (*.p16 beta alpha) (+.p16 (+.p16 alpha beta) (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))))
61.0ms
(/.p16 (+.p16 (*.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
55.0ms
(+.p16 (*.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0)))

series0.0ms

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

simplify101.0ms

Calls
11 calls:
Slowest
54.0ms
(/.p16 (+.p16 (*.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
18.0ms
(+.p16 (*.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0)))
15.0ms
(+.p16 (*.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0)))
3.0ms
(+.p16 beta (real->posit16 1.0))
3.0ms
(+.p16 alpha (real->posit16 1.0))

prune872.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize236.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
4×+-commutative
2×associate-+l+ associate-+r+
1×distribute-lft1-in *-commutative associate-/l/
Calls
4 calls:
Slowest
78.0ms
(/.p16 (/.p16 (+.p16 (+.p16 (*.p16 beta alpha) beta) (+.p16 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))))
50.0ms
(/.p16 (+.p16 (+.p16 (*.p16 beta alpha) beta) (+.p16 alpha (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
49.0ms
(+.p16 (+.p16 (*.p16 beta alpha) beta) (+.p16 alpha (real->posit16 1.0)))
5.0ms
(+.p16 (*.p16 beta alpha) beta)

series0.0ms

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

simplify30.0ms

Calls
8 calls:
Slowest
14.0ms
(+.p16 (+.p16 (*.p16 beta alpha) beta) (+.p16 alpha (real->posit16 1.0)))
3.0ms
(+.p16 alpha (real->posit16 1.0))
3.0ms
(+.p16 alpha (real->posit16 1.0))
3.0ms
(+.p16 alpha (real->posit16 1.0))
3.0ms
(+.p16 alpha (real->posit16 1.0))

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize249.0ms

Local error

Found 4 expressions with local error:

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

rewrite373.0ms

Algorithm
rewrite-expression-head
Rules
7×associate-/l/
4×distribute-lft1-in *-commutative
3×associate-/l*
2×+-commutative associate-+r+
Calls
4 calls:
Slowest
199.0ms
(/.p16 (/.p16 (/.p16 (+.p16 (*.p16 (+.p16 alpha (real->posit16 1.0)) beta) (+.p16 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)))
111.0ms
(/.p16 (/.p16 (+.p16 (*.p16 (+.p16 alpha (real->posit16 1.0)) beta) (+.p16 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))))
37.0ms
(/.p16 (+.p16 (*.p16 (+.p16 alpha (real->posit16 1.0)) beta) (+.p16 alpha (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
25.0ms
(+.p16 (*.p16 (+.p16 alpha (real->posit16 1.0)) beta) (+.p16 alpha (real->posit16 1.0)))

series0.0ms

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

simplify415.0ms

Calls
12 calls:
Slowest
284.0ms
(/.p16 (+.p16 (*.p16 (+.p16 alpha (real->posit16 1.0)) beta) (+.p16 alpha (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
57.0ms
(+.p16 (*.p16 (+.p16 alpha (real->posit16 1.0)) beta) (+.p16 alpha (real->posit16 1.0)))
45.0ms
(+.p16 (*.p16 (+.p16 alpha (real->posit16 1.0)) beta) (+.p16 alpha (real->posit16 1.0)))
5.0ms
(+.p16 beta (real->posit16 1.0))
3.0ms
(+.p16 beta (real->posit16 1.0))

prune717.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

-∞% (-63.6b remaining)

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

bsearch8.0ms

end0.0ms

sample8.1s

Algorithm
halfpoints
Results