Details

Time bar (total: 37.9s)

sample1.2s

Algorithm
halfpoints
Results

simplify320.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
320.0ms
(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)))

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize275.0ms

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))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
3×sub-neg p16-flip--
Counts
4 → 6
Calls
4 calls:
Slowest
46.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
41.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
21.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
17.0ms
(/.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)) a)
0.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms
(/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))

simplify1.0s

Counts
4 → 10
Calls
4 calls:
Slowest
326.0ms
(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)))
260.0ms
(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)))
257.0ms
(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)))
197.0ms
(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)))

prune272.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize350.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

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
95.0ms
(/.p16 (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
23.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
21.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
3.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))

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 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
0.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b 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)) a)

simplify254.0ms

Counts
4 → 13
Calls
4 calls:
Slowest
117.0ms
(-.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 b b) (*.p16 b b)))
107.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
16.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
13.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

prune532.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize385.0ms

Local error

Found 4 expressions with local error:

1.0b
(/.p16 (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
0.9b
(/.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 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
3×difference-of-squares
2×sub-neg associate-/l* associate-/l/
Counts
4 → 9
Calls
4 calls:
Slowest
58.0ms
(/.p16 (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
56.0ms
(/.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))
40.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
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 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
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)

simplify357.0ms

Counts
6 → 13
Calls
6 calls:
Slowest
127.0ms
(-.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 b b) (*.p16 b b)))
94.0ms
(-.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)))
82.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
23.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
15.0ms
(+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)

prune501.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize630.0ms

Local error

Found 4 expressions with local error:

2.0b
(/.p16 (-.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 b b) (*.p16 b b))) (+.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b)))
1.0b
(/.p16 (/.p16 (-.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 b b) (*.p16 b b))) (+.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
0.7b
(-.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 b b) (*.p16 b b)))
0.5b
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg difference-of-squares associate-/l/
1×associate-/l*
Counts
4 → 8
Calls
4 calls:
Slowest
71.0ms
(/.p16 (/.p16 (-.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 b b) (*.p16 b b))) (+.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
44.0ms
(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
15.0ms
(/.p16 (-.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 b b) (*.p16 b b))) (+.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b)))
14.0ms
(-.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 b b) (*.p16 b b)))

series0.0ms

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

simplify1.3s

Counts
5 → 12
Calls
5 calls:
Slowest
449.0ms
(-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))
284.0ms
(+.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))
283.0ms
(+.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 b b))
215.0ms
(-.p16 (*.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 (/.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 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 b b) (*.p16 b b))))
110.0ms
(-.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 b b) (*.p16 b b)))

prune418.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes438.0ms

Accuracy

-∞% (-63.9b remaining)

Error of 0.1b against oracle of 64.0b and baseline of 64.0b

bsearch3.0ms

end0.0ms

sample29.1s

Algorithm
halfpoints
Results