Details

Time bar (total: 23.7s)

sample422.0ms

Algorithm
halfpoints
Results

simplify1.3s

Calls
1 calls:
Slowest
1.3s
(/.p16 (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)

prune92.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize315.0ms

Local error

Found 4 expressions with local error:

1.9b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.5b
(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)
0.2b
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/l/
Calls
4 calls:
Slowest
5.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
4.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
2.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

series1.0ms

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))

simplify1.8s

Calls
5 calls:
Slowest
738.0ms
(-.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)
260.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
260.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
257.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)

prune506.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.1b

localize267.0ms

Local error

Found 4 expressions with local error:

4.1b
(-.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))
1.3b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.5b
(/.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))
0.5b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip-- difference-of-squares
1×+-commutative sub-neg associate-/l* associate-/l/
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 (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))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

series0.0ms

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)))

simplify659.0ms

Calls
4 calls:
Slowest
243.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
180.0ms
(-.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)))
117.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
117.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

prune675.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.0b

localize159.0ms

Local error

Found 4 expressions with local error:

1.9b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.3b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.3b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.6b
(*.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))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
3×sub-neg
2×+-commutative p16-flip--
1×distribute-rgt-in distribute-lft-in associate-*r/ *-commutative
Calls
4 calls:
Slowest
8.0ms
(*.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))
4.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
4.0ms
(+.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)

series0.0ms

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 (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)

simplify3.4s

Calls
11 calls:
Slowest
896.0ms
(*.p16 (neg.p16 b_2) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
788.0ms
(*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (neg.p16 b_2))
269.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
269.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
267.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

prune835.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 2.0b

localize299.0ms

Local error

Found 4 expressions with local error:

2.8b
(+.p16 (*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (neg.p16 b_2)))
1.3b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.3b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.3b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
4×+-commutative
1×p16-distribute-lft-out distribute-lft-out
Calls
4 calls:
Slowest
7.0ms
(+.p16 (*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (neg.p16 b_2)))
5.0ms
(+.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)
3.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

series0.0ms

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

simplify3.6s

Calls
8 calls:
Slowest
780.0ms
(*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (neg.p16 b_2))
778.0ms
(*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (neg.p16 b_2))
764.0ms
(*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (neg.p16 b_2))
736.0ms
(*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (neg.p16 b_2))
147.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (neg.p16 b_2))

prune615.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 2.0b

regimes1.6s

Accuracy

-∞% (-61.7b remaining)

Error of 2.3b against oracle of 64.0b and baseline of 64.0b

bsearch2.0ms

end0.0ms

sample7.1s

Algorithm
halfpoints
Results