Details

Time bar (total: 42.3s)

sample1.4s

Algorithm
halfpoints
Results

simplify253.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
253.0ms
(sqrt.p16 (*.p16 (*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)))

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize382.0ms

Local error

Found 4 expressions with local error:

0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.2b
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
5×sub-neg
4×p16-flip--
1×distribute-rgt-in distribute-lft-in associate-*l/ associate-*r/ *-commutative
Counts
4 → 11
Calls
4 calls:
Slowest
66.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
49.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
47.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
46.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

simplify1.5s

Counts
8 → 15
Calls
8 calls:
Slowest
380.0ms
(*.p16 (+.p16 (+.p16 a b) c) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
321.0ms
(sqrt.p16 (*.p16 (*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)))
298.0ms
(sqrt.p16 (*.p16 (*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)))
191.0ms
(sqrt.p16 (*.p16 (*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)))
191.0ms
(sqrt.p16 (*.p16 (*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)))

prune643.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize491.0ms

Local error

Found 4 expressions with local error:

1.0b
(/.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.4b
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
3×sub-neg
2×associate-/l/
1×associate-*l/ associate-*r/ associate-/l* difference-of-squares
Counts
4 → 10
Calls
4 calls:
Slowest
120.0ms
(/.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
41.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
23.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
6.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

simplify784.0ms

Counts
9 → 14
Calls
9 calls:
Slowest
263.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (*.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))) (*.p16 (*.p16 a a) (*.p16 a a))))
209.0ms
(*.p16 (+.p16 (+.p16 a b) c) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a)))
160.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
28.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
28.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

prune882.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize431.0ms

Local error

Found 4 expressions with local error:

1.0b
(/.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (*.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
3×sub-neg
2×associate-*r/ associate-/l/
1×associate-*l/ associate-/l*
Counts
4 → 9
Calls
4 calls:
Slowest
97.0ms
(/.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (*.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
47.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
46.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
34.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (*.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

simplify901.0ms

Counts
11 → 13
Calls
11 calls:
Slowest
237.0ms
(*.p16 (+.p16 (+.p16 a b) c) (*.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)))
200.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (*.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))))
128.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
80.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
80.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

prune399.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize292.0ms

Local error

Found 4 expressions with local error:

0.8b
(+.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (neg.p16 a)))
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.2b
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×+-commutative p16-distribute-lft-out associate-*l/ associate-*r/ *-commutative distribute-lft-out
Counts
4 → 10
Calls
4 calls:
Slowest
29.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
23.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
14.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))
6.0ms
(+.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (neg.p16 a)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(+.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (neg.p16 a)))
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))

simplify407.0ms

Counts
10 → 14
Calls
10 calls:
Slowest
146.0ms
(*.p16 (+.p16 (+.p16 a b) c) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))
50.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (neg.p16 a))
50.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (neg.p16 a))
49.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (neg.p16 a))
37.0ms
(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (neg.p16 a))

prune746.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes463.0ms

Accuracy

-∞% (-63.8b remaining)

Error of 0.2b against oracle of 64.0b and baseline of 64.0b

bsearch3.0ms

end0.0ms

sample31.6s

Algorithm
halfpoints
Results