Details

Time bar (total: 17.0s)

sample311.0ms

Algorithm
halfpoints
Results

simplify460.0ms

Counts
1 → 1

prune49.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize343.0ms

Local error

Found 4 expressions with local error:

0.7b
(-.p16 (neg.p16 b) (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 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))
0.3b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/r* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
10.0ms
(-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))
8.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
6.0ms
(-.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))))

series1.0ms

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
(/.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 (*.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))))

simplify2.5s

Counts
12 → 10

prune467.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

localize247.0ms

Local error

Found 4 expressions with local error:

0.7b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.3b
(-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))
0.3b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))
0.3b
(*.p16 (real->posit16 4) (*.p16 a c))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×associate-*r* *-commutative
Counts
4 → 6
Calls
4 calls:
Slowest
10.0ms
(*.p16 (real->posit16 4) (*.p16 a c))
5.0ms
(-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))
2.0ms
(-.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))))

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 b b) (*.p16 (real->posit16 4) (*.p16 a c)))
0.0ms
(*.p16 (real->posit16 4) (*.p16 a c))

simplify2.8s

Counts
11 → 10

prune569.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.9b

localize270.0ms

Local error

Found 4 expressions with local error:

0.7b
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.3b
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))
0.3b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))
0.2b
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (real->posit16 2)) a)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
2×sub-neg p16-flip--
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
5.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))
3.0ms
(/.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (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 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))) (real->posit16 2)) a)
0.0ms
(-.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)))

simplify1.9s

Counts
11 → 9

prune755.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.9b

localize510.0ms

Local error

Found 4 expressions with local error:

1.7b
(-.p16 (*.p16 (neg.p16 b) (neg.p16 b)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))
0.8b
(+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
0.4b
(/.p16 (-.p16 (*.p16 (neg.p16 b) (neg.p16 b)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))
0.3b
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg difference-of-squares
1×+-commutative associate-/l* associate-/l/
Counts
4 → 8
Calls
4 calls:
Slowest
16.0ms
(+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))
11.0ms
(/.p16 (-.p16 (*.p16 (neg.p16 b) (neg.p16 b)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))
9.0ms
(-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))
6.0ms
(-.p16 (*.p16 (neg.p16 b) (neg.p16 b)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))) (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 (*.p16 (neg.p16 b) (neg.p16 b)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))
0.0ms
(/.p16 (-.p16 (*.p16 (neg.p16 b) (neg.p16 b)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c))))) (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 (real->posit16 4) a) c)))))
0.0ms
(+.p16 (neg.p16 b) (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))

simplify425.0ms

Counts
18 → 12

prune734.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

regimes1.0s

Accuracy

-∞% (-62.5b remaining)

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

bsearch5.0ms

end0.0ms

sample3.5s

Algorithm
halfpoints
Results