Details

Time bar (total: 33.5s)

sample187.0ms

Algorithm
halfpoints

simplify3.8s

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize281.0ms

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

rewrite29.0ms

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:
9.0ms
(*.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 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
4.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
9.0ms
(*.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))))

simplify1.8s

Counts
76 → 76
Iterations
IterNodes
done5054
32194
2361
194
046

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize312.0ms

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
9×+p16-lft-identity-expand -p16-rgt-identity-expand +p16-rgt-identity-expand
6×*p16-lft-identity-expand /p16-rgt-identity-expand *p16-rgt-identity-expand associate--r+ p16-*-un-lft-identity
5×sub-neg associate--r-
4×distribute-rgt-in distribute-lft-in introduce-quire p16-flip--
3×associate-*r* associate-*l*
2×associate-*r/
1×associate-*l/ *-commutative
Counts
4 → 65
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)))
4.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
19.0ms
(*.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 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))))

simplify1.5s

Counts
69 → 69
Iterations
IterNodes
done5003
31237
2246
170
038

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize777.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.3b
(*.p16 (real->posit16 9) (/.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)))))
0.3b
(*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
0.8b
(/.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))))

rewrite58.0ms

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-*r*
9×+p16-lft-identity-expand +p16-rgt-identity-expand
7×-p16-rgt-identity-expand
6×distribute-rgt-in distribute-lft-in p16-times-frac associate-*l*
5×associate-*r/
4×introduce-quire associate-/l/
3×associate-/r* associate-*l/
2×associate-+r+ sub-neg p16-flip-- associate-/r/ *-commutative associate--r-
1×+-commutative associate-+r- associate-/l*
Counts
4 → 83
Calls
4 calls:
8.0ms
(+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
18.0ms
(*.p16 (real->posit16 9) (/.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)))))
20.0ms
(*.p16 (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))
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 (real->posit16 9) (/.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)))))
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))))

simplify8.3s

Counts
87 → 87
Iterations
IterNodes
done5002
2754
1139
057

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize409.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×+p16-lft-identity-expand +p16-rgt-identity-expand
10×-p16-rgt-identity-expand
8×distribute-rgt-in distribute-lft-in
6×associate-+l+ associate-+r+ introduce-quire /p16-rgt-identity-expand
5×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
4×sub-neg associate--r+ associate--r-
3×associate-*r* associate-*l/ p16-flip--
2×associate-*r/
1×+-commutative associate-+r- insert-quire-add distribute-rgt-out associate-*l* *-commutative insert-quire-fdp-add associate-+l-
Counts
4 → 77
Calls
4 calls:
6.0ms
(*.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))))
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)))
5.0ms
(+.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:
0.0ms
(*.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))))
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 (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9)))

simplify5.3s

Counts
81 → 81
Iterations
IterNodes
done5000
2480
1128
061

prune2.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes449.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify16.0ms

Iterations
IterNodes
done23
123
021

end0.0ms

sample3.3s

Algorithm
halfpoints