Details

Time bar (total: 14.4s)

sample91.0ms

Algorithm
halfpoints
Results

simplify743.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
743.0ms
(*.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

localize279.0ms

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)))

rewrite14.0ms

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)))
4.0ms
(*.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)))

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)))

simplify2.1s

Counts
10 → 16
Calls
10 calls:
Slowest
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)))
348.0ms
(*.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)))
306.0ms
(*.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)))
306.0ms
(*.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)))
268.0ms
(*.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

prune708.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize303.0ms

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)))
0.1b
(*.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)))
0.1b
(/.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)))))

rewrite13.0ms

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
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 (*.p16 a (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))) rand)))
4.0ms
(+.p16 (*.p16 a (real->posit16 9)) (*.p16 (neg.p16 (/.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)))
1.0ms
(/.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)))))

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 (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)))))
0.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

simplify817.0ms

Counts
9 → 12
Calls
9 calls:
Slowest
315.0ms
(*.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))))
305.0ms
(*.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))
141.0ms
(*.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)))
26.0ms
(+.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))

prune540.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize267.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (*.p16 (real->posit16 1) rand))
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)))
0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

rewrite10.0ms

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

simplify2.3s

Counts
6 → 13
Calls
6 calls:
Slowest
638.0ms
(*.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))
490.0ms
(*.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))
313.0ms
(+.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)))))
290.0ms
(+.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)))))
289.0ms
(+.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)))))

prune636.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize353.0ms

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
3×sub-neg associate-*r/ p16-flip--
2×*-commutative difference-of-squares
1×distribute-rgt-in distribute-lft-in associate-*r* associate-*l/ associate-/l* associate-/l/
Counts
4 → 13
Calls
4 calls:
Slowest
11.0ms
(-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
6.0ms
(/.p16 (*.p16 (real->posit16 9) (-.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))))
5.0ms
(*.p16 (real->posit16 9) (-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.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)))

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)) (/.p16 (real->posit16 1.0) (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)) (/.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)))

simplify1.5s

Counts
14 → 17
Calls
14 calls:
Slowest
979.0ms
(*.p16 (real->posit16 9) (-.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))))))
200.0ms
(*.p16 (neg.p16 (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (real->posit16 9))
196.0ms
(*.p16 (real->posit16 9) (neg.p16 (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
49.0ms
(+.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
25.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))

prune699.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes407.0ms

Accuracy

-∞% (-63.8b remaining)

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

bsearch8.0ms

end0.0ms

sample2.5s

Algorithm
halfpoints
Results