Details

Time bar (total: 14.5s)

sample188.0ms

Algorithm
halfpoints
Results

simplify420.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
419.0ms
(*.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)))

prune51.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize194.0ms

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×sub-neg
3×p16-flip--
1×distribute-rgt-in distribute-lft-in associate-*r/ *-commutative
Counts
4 → 8
Calls
4 calls:
Slowest
3.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
2.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
2.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(sqrt.p16 (*.p16 (real->posit16 9) (-.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 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(sqrt.p16 (*.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)))

simplify1.7s

Counts
7 → 12
Calls
7 calls:
Slowest
462.0ms
(*.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)))
440.0ms
(*.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)))
440.0ms
(*.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)))
349.0ms
(*.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)))
6.0ms
(*.p16 (real->posit16 9) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

prune602.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize358.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip--
1×distribute-rgt-in +-commutative sub-neg distribute-lft-in distribute-rgt-out associate-*l/ *-commutative
Counts
4 → 8
Calls
4 calls:
Slowest
3.0ms
(+.p16 (*.p16 a (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9)))
3.0ms
(*.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 a (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))) rand)))
2.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(sqrt.p16 (+.p16 (*.p16 a (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))

series0.0ms

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

simplify916.0ms

Counts
9 → 12
Calls
9 calls:
Slowest
347.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (*.p16 a (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))) rand))
342.0ms
(*.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (*.p16 a (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
166.0ms
(*.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 a (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))) rand)))
32.0ms
(+.p16 a (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
9.0ms
(*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))

prune987.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize304.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
3×associate-*l/
2×*-commutative
1×sub-neg associate-*r* associate-/l* associate-/l/
Counts
4 → 9
Calls
4 calls:
Slowest
8.0ms
(/.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (real->posit16 1) rand)) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))
6.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (real->posit16 1) rand))
4.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))
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 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (real->posit16 1) rand))
0.0ms
(/.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (real->posit16 1) rand)) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))
0.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

simplify3.1s

Counts
8 → 13
Calls
8 calls:
Slowest
714.0ms
(*.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) rand))
697.0ms
(*.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) rand))
518.0ms
(*.p16 (-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (real->posit16 9))
305.0ms
(+.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (/.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (real->posit16 1) rand)) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9)))))
297.0ms
(+.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (/.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (real->posit16 1) rand)) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9)))))

prune707.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize269.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
4×p16-flip--
2×sub-neg
1×associate-*l/ associate-/r/ *-commutative associate-/l/
Counts
4 → 8
Calls
4 calls:
Slowest
5.0ms
(/.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))) (*.p16 (real->posit16 1) rand)))
4.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))
2.0ms
(-.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))) (real->posit16 9))
0.0ms
(/.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))) (*.p16 (real->posit16 1) 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)))

simplify1.1s

Counts
7 → 12
Calls
7 calls:
Slowest
610.0ms
(*.p16 (-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (real->posit16 9))
437.0ms
(-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
18.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
16.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
15.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

prune467.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes530.0ms

Accuracy

-∞% (-63.8b remaining)

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

bsearch7.0ms

end0.0ms

sample2.6s

Algorithm
halfpoints
Results