Details

sample103.0ms

Algorithm

intervals

Results

34.0ms	73×	body	1280	valid
22.0ms	63×	body	640	valid
20.0ms	21×	body	2560	valid
7.0ms	24×	body	320	valid
6.0ms	65×	body	80	valid
2.0ms	10×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
10	2096
9	1969
8	1359
7	703
6	446
5	291
4	169
3	76
2	42
1	18
0	9

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.9b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.6b	(- (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:

18.0ms	(+ (* x y) z)
68.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* x y) z)
66.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify958.0ms

Counts

37 → 37

Iterations

Iter	Nodes
3	2454
2	687
1	183
0	67

prune399.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 45.0b

localize42.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.6b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite88.0ms

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:

18.0ms	(+ (* x y) z)
69.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* x y) z)
53.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify918.0ms

Counts

37 → 37

Iterations

Iter	Nodes
3	2454
2	687
1	183
0	67

prune798.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 42.9b

localize47.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (+ (* x y) z))
8.4b	(cbrt (+ (* x y) z))
23.5b	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
33.6b	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite38.0ms

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:

9.0ms	(cbrt (+ (* x y) z))
16.0ms	(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)))))))
11.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series436.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (+ (* x y) z))
145.0ms	(cbrt (+ (* x y) z))
56.0ms	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
70.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify4.1s

Counts

66 → 66

Iterations

Iter	Nodes
4	7145
3	1924
2	672
1	254
0	105

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 33.1b

localize41.0ms

Local error

Found 3 expressions with local error:

1.0b	(- (- (fma x y z) (* x y)) (+ 1 z))
9.2b	(posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))
10.5b	(- (fma x y z) (* x y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

51.0ms	(- (- (fma x y z) (* x y)) (+ 1 z))
0.0ms	(posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))
9.0ms	(- (fma x y z) (* x y))

series149.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (- (fma x y z) (* x y)) (+ 1 z))
59.0ms	(posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))
42.0ms	(- (fma x y z) (* x y))

simplify1.8s

Counts

58 → 58

Iterations

Iter	Nodes
3	4967
2	967
1	283
0	102

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.1b

regimes174.0ms

Accuracy

0% (0.1b remaining)

Error of 8.0b against oracle of 7.9b and baseline of 8.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	15
1	15
0	13

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.6s	2689×	body	1280	valid
584.0ms	1613×	body	640	valid
559.0ms	2059×	body	80	valid
379.0ms	574×	body	2560	valid
198.0ms	711×	body	320	valid
62.0ms	354×	body	160	valid