Details

Time bar (total: 18.3s)

sample163.0ms

Algorithm
halfpoints

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done2059
102059
91352
8902
7565
6401
5340
4256
3158
277
134
018

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize297.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×*p16-lft-identity-expand +p16-lft-identity-expand -p16-rgt-identity-expand /p16-rgt-identity-expand *p16-rgt-identity-expand +p16-rgt-identity-expand p16-*-un-lft-identity
6×associate-*r* associate-*l*
5×distribute-rgt-in distribute-lft-in
4×sub-neg introduce-quire p16-flip-- associate--r+ associate--r-
3×associate-*l/ associate-*r/
2×*-commutative
Counts
4 → 72
Calls
4 calls:
6.0ms
(*.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 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
3.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
5.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
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 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 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

simplify1.1s

Counts
76 → 76
Iterations
IterNodes
done2002
32002
2361
194
046

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize288.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×+p16-lft-identity-expand +p16-rgt-identity-expand
8×-p16-rgt-identity-expand /p16-rgt-identity-expand
7×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
6×distribute-rgt-in distribute-lft-in associate-*l*
4×sub-neg introduce-quire associate-*r* associate-*l/ associate-*r/ p16-flip-- associate--r+ associate--r-
2×*-commutative
Counts
4 → 73
Calls
4 calls:
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)))
6.0ms
(*.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))
5.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
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)))
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 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

simplify1.2s

Counts
77 → 77
Iterations
IterNodes
done2006
32006
2359
193
047

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize293.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×/p16-rgt-identity-expand
8×*p16-lft-identity-expand +p16-lft-identity-expand -p16-rgt-identity-expand *p16-rgt-identity-expand +p16-rgt-identity-expand p16-*-un-lft-identity
4×distribute-rgt-in sub-neg distribute-lft-in introduce-quire p16-flip-- associate--r+ associate--r- associate-/l/
3×associate-/r* p16-times-frac associate-*r* associate-*l* associate-*l/ associate-*r/
1×associate-/r/ *-commutative associate-/l*
Counts
4 → 72
Calls
4 calls:
4.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
4.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
6.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
5.0ms
(/.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (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:
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)))
0.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.0ms
(/.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 1)) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))

simplify2.2s

Counts
76 → 76
Iterations
IterNodes
done2015
42015
31844
2343
188
047

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize397.0ms

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 (/.p16 (*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (real->posit16 1)) (sqrt.p16 (*.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 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.7b
(/.p16 (*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
15×/p16-rgt-identity-expand
12×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
8×distribute-rgt-in distribute-lft-in +p16-lft-identity-expand -p16-rgt-identity-expand +p16-rgt-identity-expand
7×associate-*r/ associate-/l/
6×associate-/r* p16-times-frac associate-*r* associate-*l*
4×sub-neg introduce-quire associate-*l/ associate--r-
3×p16-flip--
2×associate-/r/ *-commutative associate-/l*
Counts
4 → 91
Calls
4 calls:
6.0ms
(*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
21.0ms
(/.p16 (*.p16 (/.p16 (*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (real->posit16 1)) (sqrt.p16 (*.p16 (real->posit16 9) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))))
7.0ms
(*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
6.0ms
(/.p16 (*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

series0.0ms

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

simplify1.1s

Counts
95 → 95
Iterations
IterNodes
done2003
32003
2602
1149
066

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes501.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done20
120
018

end0.0ms

sample3.2s

Algorithm
halfpoints