Details

Time bar (total: 37.6s)

sample1.2s

Algorithm
halfpoints
Results

simplify237.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
236.0ms
(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)))

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize229.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
3×sub-neg p16-flip--
Counts
4 → 6
Calls
4 calls:
Slowest
48.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
44.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
43.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
21.0ms
(/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))

series0.0ms

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

simplify1.2s

Counts
4 → 10
Calls
4 calls:
Slowest
328.0ms
(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)))
309.0ms
(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)))
291.0ms
(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)))
249.0ms
(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)))

prune275.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize333.0ms

Local error

Found 4 expressions with local error:

1.1b
(/.p16 (-.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)) c)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
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))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
3×sub-neg
2×difference-of-squares
1×associate-/l* associate-/l/
Counts
4 → 9
Calls
4 calls:
Slowest
63.0ms
(/.p16 (-.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))
23.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
22.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
3.0ms
(-.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 (+.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)) c)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

simplify230.0ms

Counts
4 → 13
Calls
4 calls:
Slowest
118.0ms
(-.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)))
83.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
14.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
14.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

prune473.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize467.0ms

Local error

Found 4 expressions with local error:

1.1b
(/.p16 (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
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)) a)
0.5b
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
3×sub-neg
2×difference-of-squares
1×associate-/l* associate-/l/
Counts
4 → 9
Calls
4 calls:
Slowest
116.0ms
(/.p16 (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
41.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
40.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
5.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c))

series0.0ms

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

simplify320.0ms

Counts
4 → 13
Calls
4 calls:
Slowest
157.0ms
(-.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 c c) (*.p16 c c)))
111.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
26.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
24.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

prune443.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize289.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
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)) b)
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
3×sub-neg
1×associate-/r/
Counts
4 → 7
Calls
4 calls:
Slowest
80.0ms
(/.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
23.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
22.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
22.0ms
(-.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 (+.p16 a b) c) (real->posit16 2)) c) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
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)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

simplify70.0ms

Counts
5 → 11
Calls
5 calls:
Slowest
15.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
14.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
13.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
13.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
13.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

prune255.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes449.0ms

Accuracy

-∞% (-63.8b remaining)

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

bsearch3.0ms

end0.0ms

sample30.6s

Algorithm
halfpoints
Results