Details

Time bar (total: 14.3s)

sample101.0ms

Algorithm
halfpoints
Results

simplify729.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
729.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize271.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.1b
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
4×sub-neg p16-flip--
2×distribute-rgt-in distribute-lft-in *-commutative
1×associate-*l/ associate-*r/
Counts
4 → 12
Calls
4 calls:
Slowest
5.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
5.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
3.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
2.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
0.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

simplify2.3s

Counts
10 → 16
Calls
10 calls:
Slowest
396.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
384.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
373.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
313.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))
304.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))

prune837.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize272.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.1b
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))
0.1b
(sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×distribute-rgt-in +-commutative sub-neg p16-distribute-lft-out distribute-lft-in associate-*l/ *-commutative distribute-lft-out
Counts
4 → 9
Calls
4 calls:
Slowest
4.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))
3.0ms
(+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
2.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
0.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))

simplify795.0ms

Counts
11 → 13
Calls
11 calls:
Slowest
276.0ms
(*.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
270.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand))
184.0ms
(*.p16 (-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 (real->posit16 1) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (*.p16 (real->posit16 9) a) (*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))
19.0ms
(+.p16 a (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
19.0ms
(+.p16 a (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

prune563.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize298.0ms

Local error

Found 4 expressions with local error:

1.0b
(*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.6b
(/.p16 (-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.3b
(-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.2b
(*.p16 (real->posit16 9) (/.p16 (-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
2×associate-*r/ p16-flip-- *-commutative difference-of-squares
1×sub-neg associate-*l/ associate-/l* associate-/l/
Counts
4 → 10
Calls
4 calls:
Slowest
5.0ms
(/.p16 (-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
4.0ms
(*.p16 (real->posit16 9) (/.p16 (-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
2.0ms
(*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
2.0ms
(-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(/.p16 (-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.0ms
(*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.0ms
(*.p16 (real->posit16 9) (/.p16 (-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))

simplify762.0ms

Counts
7 → 14
Calls
7 calls:
Slowest
704.0ms
(-.p16 (*.p16 (*.p16 a a) (*.p16 a a)) (*.p16 (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
27.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
8.0ms
(+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
8.0ms
(*.p16 (real->posit16 1.0) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
8.0ms
(+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

prune653.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize275.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.2b
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))
0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
4×sub-neg p16-flip--
2×associate-*l/ associate-*r/ *-commutative
1×distribute-rgt-in distribute-lft-in associate-*r*
Counts
4 → 12
Calls
4 calls:
Slowest
8.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))
6.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
3.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
3.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

simplify2.2s

Counts
9 → 16
Calls
9 calls:
Slowest
791.0ms
(sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
347.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))
328.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))
290.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))
284.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand))

prune850.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes414.0ms

Accuracy

-∞% (-63.8b remaining)

Error of 0.2b against oracle of 64.0b and baseline of 64.0b

bsearch6.0ms

end0.0ms

sample2.8s

Algorithm
halfpoints
Results