Details

sample115.0ms

Algorithm

intervals

Results

53.0ms	88×	body	1280	valid
20.0ms	53×	body	640	valid
14.0ms	25×	body	2560	valid
7.0ms	62×	body	80	valid
5.0ms	18×	body	320	valid
2.0ms	10×	body	160	valid

simplify3.1s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.2b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.3b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite56.0ms

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:

12.0ms	(+ (* x y) z)
43.0ms	(- (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)))

simplify1.0s

Counts

37 → 37

Iterations

Iter	Nodes
3	2517
2	690
1	185
0	67

prune485.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 45.5b

localize43.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.3b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite55.0ms

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

series113.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x y) z)
71.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify832.0ms

Counts

37 → 37

Iterations

Iter	Nodes
3	2517
2	690
1	185
0	67

prune885.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 43.3b

localize80.0ms

Local error

Found 4 expressions with local error:

9.5b	(cbrt (+ (* x y) z))
9.5b	(cbrt (+ (* x y) z))
28.4b	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
34.5b	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite24.0ms

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

series471.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (+ (* x y) z))
160.0ms	(cbrt (+ (* x y) z))
67.0ms	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
63.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify3.2s

Counts

66 → 66

Iterations

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

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 15.5b

localize38.0ms

Local error

Found 3 expressions with local error:

1.6b	(- (fma x y z) z)
6.2b	(posit16->real (real->posit16 (+ -1 (- (- (fma x y z) z) (* x y)))))
10.6b	(- (- (fma x y z) z) (* x y))

rewrite57.0ms

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:

4.0ms	(- (fma x y z) z)
0.0ms	(posit16->real (real->posit16 (+ -1 (- (- (fma x y z) z) (* x y)))))
52.0ms	(- (- (fma x y z) z) (* x y))

series144.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (fma x y z) z)
61.0ms	(posit16->real (real->posit16 (+ -1 (- (- (fma x y z) z) (* x y)))))
48.0ms	(- (- (fma x y z) z) (* x y))

simplify2.6s

Counts

50 → 50

Iterations

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

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 9.3b

regimes192.0ms

Accuracy

0% (0.1b remaining)

Error of 7.9b against oracle of 7.8b and baseline of 7.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	14
1	14
0	11

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.2s	2650×	body	1280	valid
598.0ms	1610×	body	640	valid
590.0ms	754×	body	320	valid
425.0ms	581×	body	2560	valid
213.0ms	2078×	body	80	valid
123.0ms	327×	body	160	valid