Details

Time bar (total: 14.4s)

sample358.0ms

Algorithm
halfpoints
Results

simplify1.1s

Counts
1 → 1

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize203.0ms

Local error

Found 4 expressions with local error:

1.3b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.4b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))
0.4b
(/.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))

rewrite20.0ms

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)
6.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))
5.0ms
(-.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)))

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))

simplify1.7s

Counts
9 → 9

prune166.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.7b

localize287.0ms

Local error

Found 4 expressions with local error:

2.9b
(-.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))
1.0b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.6b
(/.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))
0.4b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

rewrite13.0ms

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
6.0ms
(/.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))
3.0ms
(-.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))
3.0ms
(+.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 (*.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
(+.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)))

simplify3.2s

Counts
10 → 10

prune245.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.7b

localize225.0ms

Local error

Found 4 expressions with local error:

1.3b
(-.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)
1.0b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.6b
(/.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))

rewrite13.0ms

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
5.0ms
(/.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)
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)

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)

simplify466.0ms

Counts
10 → 10

prune158.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.6b

localize267.0ms

Local error

Found 4 expressions with local error:

1.3b
(-.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)
1.0b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.9b
(/.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))) b_2) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative p16-flip-- associate-/r/
1×associate-/r* sub-neg
Counts
4 → 6
Calls
4 calls:
Slowest
5.0ms
(/.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))) 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)
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)

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 (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))) 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)

simplify1.8s

Counts
10 → 10

prune213.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

regimes433.0ms

Accuracy

68.6% (0.5b remaining)

Error of 0.9b against oracle of 0.4b and baseline of 2.0b

bsearch6.0ms

end0.0ms

sample3.5s

Algorithm
halfpoints
Results