Details

Time bar (total: 1.2m)

sample174.0ms

Algorithm
halfpoints

simplify4.1s

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

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize359.0ms

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)))
0.1b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.1b
(-.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:
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)))
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 (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))))

simplify1.7s

Counts
76 → 76
Iterations
IterNodes
done5054
32194
2361
194
046

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize368.0ms

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 rand (real->posit16 1)) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))))
0.1b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.1b
(-.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))

rewrite27.0ms

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:
11.0ms
(*.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))))))
5.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
4.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
5.0ms
(*.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))

simplify2.1s

Counts
82 → 82
Iterations
IterNodes
done5002
32078
2331
187
041

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize359.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
0.1b
(-.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))
0.2b
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (*.p16 rand (real->posit16 1)) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9)))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×+p16-lft-identity-expand associate-*r* +p16-rgt-identity-expand
9×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
8×/p16-rgt-identity-expand
6×associate-*l* -p16-rgt-identity-expand
4×distribute-rgt-in distribute-lft-in introduce-quire associate-*l/ p16-flip-- associate--r+
3×p16-times-frac
2×sub-neg associate-*r/ *-commutative associate--r-
1×associate-/r/
Counts
4 → 74
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)))
3.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))
5.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (*.p16 rand (real->posit16 1)) (sqrt.p16 (*.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 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))
0.0ms
(*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (/.p16 (*.p16 rand (real->posit16 1)) (sqrt.p16 (*.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9)))))

simplify1.6s

Counts
78 → 78
Iterations
IterNodes
done5014
32035
2340
185
043

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize312.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.p16 (+.p16 (*.p16 a (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))
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 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)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×+p16-lft-identity-expand +p16-rgt-identity-expand
7×-p16-rgt-identity-expand
6×associate-+l+ associate-+r+ *p16-lft-identity-expand introduce-quire /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
5×distribute-rgt-in distribute-lft-in
3×associate-*r* associate-*l*
2×associate-*l/ p16-flip-- associate--r+
1×+-commutative associate-+r- sub-neg insert-quire-add distribute-rgt-out associate-*r/ *-commutative insert-quire-fdp-add associate-+l- associate--r-
Counts
4 → 67
Calls
4 calls:
0.0ms
(sqrt.p16 (+.p16 (*.p16 a (real->posit16 9)) (*.p16 (neg.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (real->posit16 9))))
7.0ms
(*.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)))
3.0ms
(-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0)))
6.0ms
(+.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
(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 (-.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 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)))

simplify50.7s

Counts
71 → 71
Iterations
IterNodes
done5004
33980
2429
1115
058

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes460.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done21
121
019

end0.0ms

sample2.6s

Algorithm
halfpoints