Details

Time bar (total: 13.0s)

sample237.0ms

Algorithm
halfpoints
Results

simplify677.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
676.0ms
(/.p16 (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize229.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/l/
Counts
4 → 5
Calls
4 calls:
Slowest
6.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
5.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
5.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

series1.0ms

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
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))
0.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
0.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))

simplify1.3s

Counts
5 → 9
Calls
5 calls:
Slowest
637.0ms
(-.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))
261.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
168.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
137.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
136.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)

prune186.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.3b

localize194.0ms

Local error

Found 4 expressions with local error:

1.5b
(/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))
1.0b
(-.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))) b_2)
0.3b
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a))))
0.3b
(/.p16 (-.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))) b_2) a)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×associate-/l/
1×sub-neg associate-/l* difference-of-squares
Counts
4 → 5
Calls
4 calls:
Slowest
8.0ms
(/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))
2.0ms
(/.p16 (-.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))) b_2) a)
2.0ms
(-.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))) b_2)
0.0ms
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a))))

series0.0ms

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

simplify1.6s

Counts
3 → 9
Calls
3 calls:
Slowest
1.1s
(-.p16 (*.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a))))) (*.p16 b_2 b_2))
516.0ms
(-.p16 (*.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2))) (*.p16 (*.p16 (*.p16 c a) (*.p16 c a)) (*.p16 (*.p16 c a) (*.p16 c a))))
3.0ms
(+.p16 (*.p16 b_2 b_2) (*.p16 c a))

prune185.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.3b

localize295.0ms

Local error

Found 4 expressions with local error:

2.6b
(-.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))
1.1b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.7b
(/.p16 (-.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)) (+.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)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip-- difference-of-squares
1×+-commutative sub-neg associate-/l* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
10.0ms
(/.p16 (-.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)) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
6.0ms
(-.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))
5.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

series0.0ms

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

simplify570.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
206.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
136.0ms
(-.p16 (*.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 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))))) (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)))
128.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
98.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

prune156.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 1.2b

localize202.0ms

Local error

Found 4 expressions with local error:

1.1b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.1b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.0b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.7b
(/.p16 (*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative p16-flip--
1×sub-neg associate-*r/ associate-/l* associate-/l/
Counts
4 → 6
Calls
4 calls:
Slowest
8.0ms
(/.p16 (*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
3.0ms
(+.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)
2.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

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 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
0.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

simplify2.6s

Counts
10 → 10
Calls
10 calls:
Slowest
1.2s
(*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (-.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)))
251.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
246.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
192.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
183.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

prune193.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 1.2b

regimes539.0ms

Accuracy

-∞% (-62.3b remaining)

Error of 1.7b against oracle of 64.0b and baseline of 64.0b

bsearch1.0ms

end0.0ms

sample3.7s

Algorithm
halfpoints
Results