Details

Time bar (total: 26.4s)

sample144.0ms

Algorithm
halfpoints

simplify4.4s

Counts
1 → 1
Iterations
IterNodes
done5000
113098
102235
91352
8902
7565
6401
5340
4256
3158
277
134
018

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize251.0ms

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) (*.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))))

rewrite15.0ms

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:
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)))
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)))
4.0ms
(*.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))))

simplify1.9s

Counts
76 → 76
Iterations
IterNodes
done5054
32194
2361
194
046

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize263.0ms

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×*p16-lft-identity-expand associate-*r* p16-*-un-lft-identity
11×*p16-rgt-identity-expand
9×/p16-rgt-identity-expand
8×+p16-lft-identity-expand +p16-rgt-identity-expand
6×associate-*l* -p16-rgt-identity-expand
4×p16-distribute-lft-out introduce-quire associate-*l/ p16-flip-- distribute-lft-out associate--r+
3×distribute-rgt-in distribute-lft-in
2×sub-neg distribute-rgt-out associate-*r/ *-commutative associate--r-
1×associate-/r/
Counts
4 → 78
Calls
4 calls:
16.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (real->posit16 1) (/.p16 (*.p16 rand (real->posit16 1)) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))))
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)))
7.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))

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 rand (real->posit16 1)) (sqrt.p16 (*.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)))
0.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))

simplify1.9s

Counts
82 → 82
Iterations
IterNodes
done5002
32078
2331
187
041

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize360.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×/p16-rgt-identity-expand
11×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
10×associate-*l*
7×+p16-lft-identity-expand +p16-rgt-identity-expand
6×p16-times-frac associate-*r*
5×-p16-rgt-identity-expand associate-*l/
4×introduce-quire associate-/l/
3×distribute-rgt-in associate-/r* distribute-lft-in associate-*r/ p16-flip--
2×associate-/r/ *-commutative associate--r+
1×sub-neg associate-/l* associate--r-
Counts
4 → 78
Calls
4 calls:
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 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
8.0ms
(*.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 9))
9.0ms
(/.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 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 (-.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 9))
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))))

simplify4.8s

Counts
82 → 82
Iterations
IterNodes
done5001
34768
2648
1135
054

prune2.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize436.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.2b
(*.p16 (*.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 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (real->posit16 9))
0.4b
(*.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 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
0.6b
(/.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
21×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
18×p16-times-frac
14×associate-*l*
11×/p16-rgt-identity-expand
7×+p16-lft-identity-expand +p16-rgt-identity-expand
6×associate-*r*
5×-p16-rgt-identity-expand associate-*l/
4×introduce-quire
3×distribute-rgt-in associate-/r* distribute-lft-in associate-*r/ associate-/l*
2×p16-flip-- associate-/r/ *-commutative associate--r+ associate-/l/
1×sub-neg associate--r-
Counts
4 → 89
Calls
4 calls:
4.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
7.0ms
(*.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 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (real->posit16 9))
16.0ms
(*.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 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
9.0ms
(/.p16 (-.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 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.0ms
(*.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 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (real->posit16 9))
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 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
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))))

simplify1.4s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1157
056

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes516.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations
IterNodes
done24
124
022

end0.0ms

sample3.3s

Algorithm
halfpoints