Details

Time bar (total: 13.8s)

sample171.0ms

Algorithm
halfpoints
Results

simplify450.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
449.0ms
(*.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)))

prune47.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize247.0ms

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
(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)))

simplify1.4s

Counts
7 → 12
Calls
7 calls:
Slowest
407.0ms
(*.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)))
367.0ms
(*.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)))
335.0ms
(*.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)))
295.0ms
(*.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) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

prune440.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize384.0ms

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)))))

rewrite21.0ms

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
7.0ms
(/.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))))
6.0ms
(*.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)))))
4.0ms
(-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
3.0ms
(*.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 (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)))))
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 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.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)))

simplify848.0ms

Counts
7 → 14
Calls
7 calls:
Slowest
778.0ms
(-.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)))))
28.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
12.0ms
(*.p16 (real->posit16 1.0) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
10.0ms
(+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
7.0ms
(+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

prune825.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize441.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-*r/ *-commutative associate-/l/
Counts
4 → 7
Calls
4 calls:
Slowest
13.0ms
(/.p16 (-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
8.0ms
(*.p16 (real->posit16 9) (/.p16 (-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
6.0ms
(-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (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 (-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0))) (+.p16 a (/.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)) (real->posit16 3.0))) (+.p16 a (/.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)) (real->posit16 3.0)))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

simplify3.4s

Counts
6 → 11
Calls
6 calls:
Slowest
785.0ms
(*.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 (-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))
672.0ms
(*.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 (-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))
646.0ms
(*.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 (-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))
645.0ms
(-.p16 (*.p16 (*.p16 a a) (*.p16 a a)) (*.p16 (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0)) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0))))
641.0ms
(*.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 (-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))) rand)))

prune618.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize454.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
4×sub-neg p16-flip--
2×associate-*r/
1×distribute-rgt-in distribute-lft-in *-commutative associate-/l* associate-/l/
Counts
4 → 10
Calls
4 calls:
Slowest
11.0ms
(*.p16 (real->posit16 9) (-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0))))
9.0ms
(/.p16 (*.p16 (real->posit16 9) (-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
7.0ms
(-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (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 (*.p16 (real->posit16 9) (-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.0ms
(*.p16 (real->posit16 9) (-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0))))
0.0ms
(-.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0)))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

simplify1.1s

Counts
9 → 14
Calls
9 calls:
Slowest
1.0s
(*.p16 (real->posit16 9) (-.p16 (*.p16 (*.p16 a a) (*.p16 a a)) (*.p16 (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0)) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0)))))
7.0ms
(*.p16 (real->posit16 9) (neg.p16 (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0))))
6.0ms
(*.p16 (neg.p16 (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0))) (real->posit16 9))
5.0ms
(+.p16 (*.p16 a a) (/.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (real->posit16 3.0)))
4.0ms
(+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

prune484.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes310.0ms

Accuracy

-∞% (-63.8b remaining)

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

bsearch5.0ms

end0.0ms

sample2.1s

Algorithm
halfpoints
Results