Details

sample90.0ms

Algorithm

intervals

Results

26.0ms	88×	body	1280	valid
19.0ms	19×	body	2560	valid
10.0ms	44×	body	640	valid
5.0ms	73×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	12×	body	160	valid

simplify7.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	4929
10	4459
9	4008
8	3078
7	1616
6	629
5	284
4	166
3	80
2	41
1	18
0	9

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.5b

localize113.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (+ (* x y) z))
0.0b	(+ (* x y) z)
9.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

53.0ms	(+ 1.0 (+ (* x y) z))
24.0ms	(+ (* x y) z)
124.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ 1.0 (+ (* x y) z))
36.0ms	(+ (* x y) z)
98.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify6.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	5004
3	3569
2	896
1	231
0	81

prune705.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 42.8b

localize111.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (+ (* x y) z))
0.0b	(+ (* x y) z)
9.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

72.0ms	(+ 1.0 (+ (* x y) z))
18.0ms	(+ (* x y) z)
130.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series158.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ 1.0 (+ (* x y) z))
34.0ms	(+ (* x y) z)
80.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify5.8s

Counts

55 → 55

Iterations

Iter	Nodes
done	5004
3	3569
2	896
1	231
0	81

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 40.8b

localize232.0ms

Local error

Found 4 expressions with local error:

7.4b	(cbrt (+ (* x y) z))
7.4b	(cbrt (+ (* x y) z))
28.5b	(posit16->real (real->posit16 (- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
34.9b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite95.0ms

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:

24.0ms	(cbrt (+ (* x y) z))
26.0ms	(cbrt (+ (* x y) z))
2.0ms	(posit16->real (real->posit16 (- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
38.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series728.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(cbrt (+ (* x y) z))
263.0ms	(cbrt (+ (* x y) z))
77.0ms	(posit16->real (real->posit16 (- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
81.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify4.0s

Counts

66 → 66

Iterations

Iter	Nodes
done	5006
3	1843
2	648
1	255
0	106

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 29.5b

localize186.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (fma x y z) z)
6.3b	(posit16->real (real->posit16 (- (- (fma x y z) z) (+ (* x y) 1.0))))
6.3b	(posit16->real (real->posit16 (posit16->real (real->posit16 (- (- (fma x y z) z) (+ (* x y) 1.0))))))
9.1b	(- (- (fma x y z) z) (+ (* x y) 1.0))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

24.0ms	(- (fma x y z) z)
3.0ms	(posit16->real (real->posit16 (- (- (fma x y z) z) (+ (* x y) 1.0))))
2.0ms	(posit16->real (real->posit16 (posit16->real (real->posit16 (- (- (fma x y z) z) (+ (* x y) 1.0))))))
157.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

series370.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (fma x y z) z)
107.0ms	(posit16->real (real->posit16 (- (- (fma x y z) z) (+ (* x y) 1.0))))
105.0ms	(posit16->real (real->posit16 (posit16->real (real->posit16 (- (- (fma x y z) z) (+ (* x y) 1.0))))))
100.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify3.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	1265
1	308
0	115

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 14.2b

regimes908.0ms

Accuracy

0% (0.3b remaining)

Error of 15.0b against oracle of 14.7b and baseline of 15.0b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.6s	2573×	body	1280	valid
606.0ms	1626×	body	640	valid
322.0ms	651×	body	2560	valid
264.0ms	691×	body	320	valid
186.0ms	2112×	body	80	valid
53.0ms	347×	body	160	valid