Details

sample159.0ms

Algorithm: halfpoints

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
11	2746
10	1931
9	1238
8	836
7	544
6	387
5	328
4	252
3	156
2	75
1	32
0	18

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize304.0ms

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))))

rewrite20.0ms

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:

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 (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)))
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))))

simplify6.3s

Counts

76 → 76

Iterations

Iter	Nodes
4	11353
3	1788
2	326
1	91
0	46

prune4.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize318.0ms

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))))

rewrite18.0ms

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:

3.0ms	(-.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)))
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 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))))

simplify1.6s

Counts

69 → 69

Iterations

Iter	Nodes
4	4341
3	923
2	201
1	67
0	38

prune3.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize358.0ms

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 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
0.3b	(.p16 (.p16 (-.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))
0.7b	(/.p16 (.p16 (.p16 (-.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)) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`/p16-rgt-identity-expand`
14×	`associate-*l/`
9×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
7×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
6×	`associate-r` `associate-/l/`
5×	`-p16-rgt-identity-expand` `associate-*r/`
4×	`introduce-quire` `associate-l` `p16-flip--`
3×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in` `p16-times-frac`
2×	`*-commutative` `associate--r+`
1×	`sub-neg` `associate-/r/` `associate-/l*` `associate--r-`

Counts

4 → 77

Calls

4 calls:

2.0ms	(-.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))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
4.0ms	(.p16 (.p16 (-.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))
8.0ms	(/.p16 (.p16 (.p16 (-.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)) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

series7.0ms

Counts

4 → 4

Calls

4 calls:

6.0ms	(-.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 1.0) (real->posit16 3.0)) a))
0.0ms	(.p16 (.p16 (-.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 (-.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)) (+.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))))

simplify1.5s

Counts

81 → 81

Iterations

Iter	Nodes
3	3190
2	553
1	121
0	54

prune4.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize300.0ms

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
18×	`p16-times-frac`
16×	`associate-r`
12×	`/p16-rgt-identity-expand`
8×	`associate-*l/`
7×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
5×	`-p16-rgt-identity-expand`
4×	`introduce-quire` `associate-l`
3×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `associate-r/` `p16-flip--` `associate-/l*`
2×	`associate-/r/` `*-commutative` `associate--r+`
1×	`sub-neg` `associate--r-` `associate-/l/`

Counts

4 → 90

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 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
9.0ms	(/.p16 (real->posit16 9) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
9.0ms	(.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (/.p16 (real->posit16 9) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)))

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 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
0.0ms	(/.p16 (real->posit16 9) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a))
0.0ms	(.p16 (.p16 (-.p16 a (/.p16 (real->posit16 1.0) (real->posit16 3.0))) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)) (/.p16 (real->posit16 9) (+.p16 (/.p16 (real->posit16 1.0) (real->posit16 3.0)) a)))

simplify2.1s

Counts

94 → 94

Iterations

Iter	Nodes
3	3441
2	556
1	132
0	56

prune5.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes453.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
1	19
0	19

end0.0ms

sample3.2s

Algorithm: halfpoints