Details

Time bar (total: 21.4s)

sample265.0ms

Algorithm
halfpoints
Results

simplify3.7s

Counts
1 → 1

prune49.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize276.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
0.3b
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
0.3b
(*.p16 (real->posit16 4) (*.p16 a c))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×associate-/r* sub-neg associate-*r* *-commutative associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
4.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
4.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
3.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))

series0.0ms

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

simplify1.3s

Counts
10 → 10

prune687.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.2b

localize729.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))
0.3b
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (*.p16 (real->posit16 2) a))
0.2b
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/r* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
4.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))
3.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (*.p16 (real->posit16 2) a))
2.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))

series0.0ms

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

simplify2.1s

Counts
10 → 10

prune539.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.1b

localize250.0ms

Local error

Found 4 expressions with local error:

0.9b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))
0.3b
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (real->posit16 2)) a)
0.2b
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
8.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))
6.0ms
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (real->posit16 2)) a)
3.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))

series0.0ms

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

simplify2.2s

Counts
9 → 9

prune685.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.1b

localize511.0ms

Local error

Found 4 expressions with local error:

1.9b
(/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))
0.9b
(-.p16 (neg.p16 b) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))
0.4b
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.3b
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (real->posit16 2)) a)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip-- associate-/l/
1×sub-neg associate-/l* difference-of-squares
Counts
4 → 5
Calls
4 calls:
Slowest
29.0ms
(/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))
6.0ms
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (real->posit16 2)) a)
4.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))
0.0ms
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b b) (*.p16 b b)) (*.p16 (*.p16 (*.p16 (real->posit16 4) a) c) (*.p16 (*.p16 (real->posit16 4) a) c))) (+.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))

series0.0ms

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

simplify2.6s

Counts
9 → 9

prune417.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.1b

regimes806.0ms

Accuracy

-∞% (-62.5b remaining)

Error of 1.5b against oracle of 64.0b and baseline of 64.0b

bsearch6.0ms

end0.0ms

sample4.2s

Algorithm
halfpoints
Results