Details

sample111.0ms

Algorithm

intervals

Results

39.0ms	55×	body	640	valid
30.0ms	79×	body	1280	valid
14.0ms	31×	body	2560	valid
4.0ms	22×	body	320	valid
4.0ms	55×	body	80	valid
4.0ms	14×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
9	2296
8	1644
7	743
6	439
5	291
4	170
3	78
2	44
1	20
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 48.2b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
16.0b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

13.0ms	(+ (* x y) z)
69.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* x y) z)
53.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify861.0ms

Counts

37 → 37

Iterations

Iter	Nodes
3	2517
2	690
1	185
0	67

prune352.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 47.3b

localize64.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
16.0b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

17.0ms	(+ (* x y) z)
69.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x y) z)
46.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify871.0ms

Counts

37 → 37

Iterations

Iter	Nodes
3	2517
2	690
1	185
0	67

prune938.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 45.3b

localize64.0ms

Local error

Found 4 expressions with local error:

12.4b	(cbrt (+ (* x y) z))
12.4b	(cbrt (+ (* x y) z))
23.8b	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
36.6b	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log` `insert-posit16`
2×	`flip3-+` `pow1/3` `diff-log` `flip-+`
1×	`sum-log` `sub-neg` `flip3--` `remove-posit16` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 54

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
0.0ms	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
16.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ (* x y) z))
135.0ms	(cbrt (+ (* x y) z))
69.0ms	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
57.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify3.3s

Counts

66 → 66

Iterations

Iter	Nodes
4	7172
3	1914
2	675
1	255
0	105

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 17.0b

localize59.0ms

Local error

Found 3 expressions with local error:

0.7b	(- (fma x y z) z)
4.5b	(posit16->real (real->posit16 (+ -1 (- (- (fma x y z) z) (* x y)))))
12.9b	(- (- (fma x y z) z) (* x y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`diff-log`
3×	`pow1` `sub-neg` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `remove-posit16` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 41

Calls

3 calls:

8.0ms	(- (fma x y z) z)
0.0ms	(posit16->real (real->posit16 (+ -1 (- (- (fma x y z) z) (* x y)))))
32.0ms	(- (- (fma x y z) z) (* x y))

series115.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- (fma x y z) z)
54.0ms	(posit16->real (real->posit16 (+ -1 (- (- (fma x y z) z) (* x y)))))
38.0ms	(- (- (fma x y z) z) (* x y))

simplify2.8s

Counts

50 → 50

Iterations

Iter	Nodes
4	6845
3	1497
2	465
1	167
0	74

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 12.8b

regimes181.0ms

Accuracy

0% (0.1b remaining)

Error of 8.1b against oracle of 8.0b and baseline of 8.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	14
1	14
0	11

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.8s	2685×	body	1280	valid
654.0ms	1585×	body	640	valid
371.0ms	604×	body	2560	valid
220.0ms	2012×	body	80	valid
220.0ms	750×	body	320	valid
124.0ms	364×	body	160	valid