Details

Time bar (total: 14.1s)

sample247.0ms

Algorithm
halfpoints
Results

simplify251.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
250.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize209.0ms

Local error

Found 4 expressions with local error:

1.3b
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.3b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))
0.3b
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)
0.3b
(-.p16 (*.p16 b_2 b_2) (*.p16 a c))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
3.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
3.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 a c))
3.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))
0.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)
0.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 a c))

simplify2.4s

Counts
11 → 9
Calls
11 calls:
Slowest
703.0ms
(*.p16 a (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
626.0ms
(-.p16 (*.p16 (neg.p16 b_2) (neg.p16 b_2)) (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
252.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)
211.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)
208.0ms
(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize316.0ms

Local error

Found 4 expressions with local error:

1.0b
(+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.6b
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
0.3b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))
0.3b
(/.p16 (/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))) a)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
1×+-commutative associate-/l/
Counts
4 → 2
Calls
4 calls:
Slowest
5.0ms
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
5.0ms
(+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
4.0ms
(/.p16 (/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))) a)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.0ms
(/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
0.0ms
(/.p16 (/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))) a)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))

simplify1.7s

Counts
5 → 6
Calls
5 calls:
Slowest
643.0ms
(*.p16 a (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))))
276.0ms
(/.p16 (/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))) a)
271.0ms
(/.p16 (/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))) a)
264.0ms
(/.p16 (/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))) a)
235.0ms
(/.p16 (/.p16 (+.p16 (*.p16 a c) (*.p16 (+.p16 (neg.p16 b_2) b_2) (+.p16 (neg.p16 b_2) (neg.p16 b_2)))) (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))) a)

prune206.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

localize200.0ms

Local error

Found 4 expressions with local error:

1.0b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.8b
(/.p16 (+.p16 (*.p16 c a) (real->posit16 0.0)) (*.p16 a (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)))
0.3b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))
0.3b
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/r* associate-*r/ associate-/r/
Counts
4 → 6
Calls
4 calls:
Slowest
10.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))
3.0ms
(/.p16 (+.p16 (*.p16 c a) (real->posit16 0.0)) (*.p16 a (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)))
2.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(/.p16 (+.p16 (*.p16 c a) (real->posit16 0.0)) (*.p16 a (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))
0.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))

simplify1.5s

Counts
12 → 10
Calls
12 calls:
Slowest
513.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2))
171.0ms
(/.p16 (+.p16 (*.p16 c a) (real->posit16 0.0)) (*.p16 a (-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2))))
170.0ms
(/.p16 (+.p16 (*.p16 c a) (real->posit16 0.0)) (*.p16 a (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)))
154.0ms
(/.p16 (+.p16 (*.p16 c a) (real->posit16 0.0)) (*.p16 a (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)))
136.0ms
(/.p16 (+.p16 (*.p16 c a) (real->posit16 0.0)) (*.p16 a (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)))

prune316.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

localize145.0ms

Local error

Found 4 expressions with local error:

1.0b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.4b
(/.p16 (*.p16 (real->posit16 1.0) c) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
0.3b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))
0.3b
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/r/ associate-/l*
Counts
4 → 6
Calls
4 calls:
Slowest
3.0ms
(/.p16 (*.p16 (real->posit16 1.0) c) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
3.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))
2.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(/.p16 (*.p16 (real->posit16 1.0) c) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))
0.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))

simplify2.4s

Counts
12 → 10
Calls
12 calls:
Slowest
572.0ms
(/.p16 (*.p16 (real->posit16 1.0) c) (-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2)))
524.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2))
265.0ms
(/.p16 (*.p16 (real->posit16 1.0) c) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
253.0ms
(/.p16 (*.p16 (real->posit16 1.0) c) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
247.0ms
(/.p16 (*.p16 (real->posit16 1.0) c) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))

prune187.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.2b

regimes747.0ms

Accuracy

-∞% (-63.7b remaining)

Error of 0.3b against oracle of 64.0b and baseline of 64.0b

bsearch10.0ms

end0.0ms

sample2.9s

Algorithm
halfpoints
Results