Details

sample74.0ms

Algorithm

intervals

Results

31.0ms	96×	body	1280	valid
14.0ms	55×	body	640	valid
5.0ms	27×	body	320	valid
5.0ms	13×	body	2560	valid
4.0ms	56×	body	80	valid
1.0ms	9×	body	160	valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
20	4822
19	4621
18	4420
17	4220
16	4001
15	3806
14	3601
13	3399
12	3187
11	2982
10	2768
9	2530
8	1937
7	1049
6	533
5	291
4	170
3	78
2	44
1	20
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.6b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
8.6b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite117.0ms

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:

15.0ms	(+ (* x y) z)
100.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x y) z)
75.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify2.2s

Counts

37 → 37

Iterations

Iter	Nodes
done	5002
3	3115
2	690
1	185
0	67

prune160.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 46.7b

localize52.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
8.6b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite74.0ms

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:

16.0ms	(+ (* x y) z)
56.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* x y) z)
51.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify1.9s

Counts

37 → 37

Iterations

Iter	Nodes
done	5002
3	3115
2	690
1	185
0	67

prune366.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 44.5b

localize61.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (+ (* x y) z))
6.9b	(cbrt (+ (* x y) z))
26.3b	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
32.6b	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite33.0ms

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:

10.0ms	(cbrt (+ (* x y) z))
8.0ms	(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)))))))
13.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series375.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (+ (* x y) z))
142.0ms	(cbrt (+ (* x y) z))
48.0ms	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
53.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify1.5s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	2169
2	701
1	255
0	105

prune720.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 7.1b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
6.7b	(- (fma x y z) (+ (* x y) z))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

15.0ms	(+ (* x y) z)
31.0ms	(- (fma x y z) (+ (* x y) z))

series99.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x y) z)
58.0ms	(- (fma x y z) (+ (* x y) z))

simplify2.9s

Counts

35 → 35

Iterations

Iter	Nodes
done	5004
4	4192
3	1212
2	427
1	151
0	56

prune325.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 6.9b

regimes247.0ms

Accuracy

0% (0.1b remaining)

Error of 7.5b against oracle of 7.3b and baseline of 7.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
2	19
1	17
0	13

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	2566×	body	1280	valid
416.0ms	1582×	body	640	valid
278.0ms	568×	body	2560	valid
161.0ms	732×	body	320	valid
132.0ms	2204×	body	80	valid
40.0ms	348×	body	160	valid