Details

Time bar (total: 33.7s)

sample424.0ms

Algorithm
halfpoints
Results

simplify474.0ms

Calls
1 calls:
Slowest
474.0ms
(*.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)))

prune75.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize382.0ms

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) (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
0.3b
(/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
0.3b
(sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
0.2b
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
2×distribute-rgt-in sub-neg distribute-lft-in p16-flip-- *-commutative
1×associate-*l/ associate-*r/
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 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand)))
3.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
2.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.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

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

simplify2.5s

Calls
10 calls:
Slowest
435.0ms
(*.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)))
410.0ms
(*.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)))
402.0ms
(*.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)))
376.0ms
(*.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)))
317.0ms
(*.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))

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize112.0ms

Local error

Found 4 expressions with local error:

0.6b
(*.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))))
0.4b
(+.p16 (*.p16 (real->posit16 1) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (*.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)))))
0.3b
(/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
0.3b
(sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×sub-neg
3×distribute-rgt-in distribute-lft-in
2×associate-+l+ associate-+r+ associate-*l/
1×+-commutative distribute-rgt-out associate-*l* associate-*r/ p16-flip-- *-commutative
Calls
4 calls:
Slowest
6.0ms
(+.p16 (*.p16 (real->posit16 1) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (*.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)))))
4.0ms
(*.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))))
2.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.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)))))

series1.0ms

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

simplify5.3s

Calls
15 calls:
Slowest
1.3s
(/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
1.2s
(*.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
903.0ms
(*.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
323.0ms
(*.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))))
302.0ms
(*.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))))

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize201.0ms

Local error

Found 4 expressions with local error:

0.6b
(*.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))))
0.3b
(/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
0.3b
(sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
0.3b
(+.p16 (*.p16 (real->posit16 1) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (*.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)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
4×sub-neg
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*l/
1×+-commutative associate-*l* associate-*r/ p16-flip-- *-commutative
Calls
4 calls:
Slowest
7.0ms
(+.p16 (*.p16 (real->posit16 1) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (*.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)))))
5.0ms
(*.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))))
2.0ms
(/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.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

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

simplify3.5s

Calls
11 calls:
Slowest
1.2s
(/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
908.0ms
(*.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
840.0ms
(*.p16 (*.p16 (/.p16 (real->posit16 1) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))) rand) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
193.0ms
(*.p16 (*.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
158.0ms
(*.p16 (neg.p16 (/.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))

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize174.0ms

Local error

Found 4 expressions with local error:

0.5b
(/.p16 (*.p16 (*.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
0.3b
(sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
0.3b
(+.p16 (*.p16 (real->posit16 1) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (/.p16 (*.p16 (*.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))))
0.3b
(+.p16 (*.p16 (real->posit16 1) a) (+.p16 (*.p16 (real->posit16 1) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (/.p16 (*.p16 (*.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
2×+-commutative
1×associate-+r+ associate-*r/ p16-flip-- associate-/l* associate-/l/
Calls
4 calls:
Slowest
11.0ms
(+.p16 (*.p16 (real->posit16 1) a) (+.p16 (*.p16 (real->posit16 1) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (/.p16 (*.p16 (*.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))))
6.0ms
(+.p16 (*.p16 (real->posit16 1) (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (/.p16 (*.p16 (*.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))))
5.0ms
(/.p16 (*.p16 (*.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.p16 (real->posit16 9) (-.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

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

simplify1.9s

Calls
7 calls:
Slowest
817.0ms
(*.p16 (*.p16 (real->posit16 1) rand) (-.p16 (*.p16 a a) (*.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) (/.p16 (real->posit16 1.0) (real->posit16 3.0)))))
318.0ms
(/.p16 (*.p16 (*.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
188.0ms
(*.p16 (*.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
185.0ms
(*.p16 (*.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
176.0ms
(*.p16 (*.p16 (real->posit16 1) rand) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

prune861.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

regimes1.0s

Accuracy

-∞% (-63.6b remaining)

Error of 0.4b against oracle of 64.0b and baseline of 64.0b

bsearch8.0ms

end0.0ms

sample13.0s

Algorithm
halfpoints
Results