Details

Time bar (total: 17.4s)

sample337.0ms

Algorithm
halfpoints
Results

simplify261.0ms

Calls
1 calls:
Slowest
260.0ms
(/.p16 (+.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))

prune67.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize273.0ms

Local error

Found 4 expressions with local error:

1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.5b
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.3b
(*.p16 (*.p16 c a) (real->posit16 4))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
3×*-commutative
2×associate-/r* associate-*l* p16-flip--
1×sub-neg associate-/l/
Calls
4 calls:
Slowest
15.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
4.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
3.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.0ms
(*.p16 (*.p16 c a) (real->posit16 4))

simplify2.1s

Calls
6 calls:
Slowest
581.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 b b))
418.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
373.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
368.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
327.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))

prune941.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.4b

localize208.0ms

Local error

Found 4 expressions with local error:

1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)
0.5b
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
0.2b
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×associate-/r* sub-neg
1×*-commutative associate-/l/
Calls
4 calls:
Slowest
18.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))
4.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
2.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b)
0.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) b) (*.p16 (real->posit16 2) a))
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))
0.0ms
(-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))

simplify755.0ms

Calls
2 calls:
Slowest
753.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4))))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 c (*.p16 a (real->posit16 4)))))) (*.p16 b b))
2.0ms
(real->posit16 2)

prune971.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.4b

localize105.0ms

Local error

Found 4 expressions with local error:

1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.4b
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) a)
0.3b
(*.p16 (*.p16 c a) (real->posit16 4))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-/l/
2×associate-*l* p16-flip-- *-commutative
1×sub-neg
Calls
4 calls:
Slowest
9.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) a)
8.0ms
(*.p16 (*.p16 c a) (real->posit16 4))
3.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) a)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))
0.0ms
(*.p16 (*.p16 c a) (real->posit16 4))

simplify959.0ms

Calls
2 calls:
Slowest
722.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4))))) (*.p16 b b))
236.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.4b

localize312.0ms

Local error

Found 4 expressions with local error:

1.1b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4))))) b)
0.4b
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4)))))
0.4b
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4))))) b) (real->posit16 2)) a)
0.2b
(-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip-- associate-/l/
2×sub-neg
Calls
4 calls:
Slowest
16.0ms
(-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4))))
4.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4))))) b) (real->posit16 2)) a)
2.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4))))) b)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4)))))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4))))) b)
0.0ms
(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4))))) b) (real->posit16 2)) a)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4)))))
0.0ms
(-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4))))

simplify1.0s

Calls
2 calls:
Slowest
734.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4))))) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4)))))) (*.p16 b b))
274.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 a (*.p16 c (real->posit16 4))))) b)

prune564.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.4b

regimes1.2s

Accuracy

-∞% (-61.8b remaining)

Error of 2.2b against oracle of 64.0b and baseline of 64.0b

bsearch3.0ms

end0.0ms

sample6.1s

Algorithm
halfpoints
Results