Details

sample112.0ms

Algorithm

intervals

Results

50.0ms	79×	body	1280	valid
23.0ms	59×	body	640	valid
9.0ms	29×	body	320	valid
8.0ms	14×	body	2560	valid
6.0ms	68×	body	80	valid
1.0ms	7×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2009
9	2009
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: 45.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ 1 (+ (* x y) z))
9.8b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite89.0ms

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:

13.0ms	(+ (* x y) z)
28.0ms	(+ 1 (+ (* x y) z))
46.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* x y) z)
39.0ms	(+ 1 (+ (* x y) z))
56.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify1.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	2027
3	2027
2	757
1	240
0	81

prune339.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 44.5b

localize43.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (+ (* x y) z))
0.0b	(+ (* x y) z)
9.8b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite103.0ms

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:

27.0ms	(+ 1 (+ (* x y) z))
14.0ms	(+ (* x y) z)
62.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ 1 (+ (* x y) z))
43.0ms	(+ (* x y) z)
66.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify1.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	2000
3	2000
2	768
1	240
0	81

prune554.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 42.4b

localize86.0ms

Local error

Found 4 expressions with local error:

7.6b	(cbrt (+ 1 (+ (* x y) z)))
7.6b	(cbrt (+ 1 (+ (* x y) z)))
24.6b	(posit16->real (real->posit16 (- (fma x y z) (* (* (cbrt (+ 1 (+ (* x y) z))) (cbrt (+ 1 (+ (* x y) z)))) (cbrt (+ 1 (+ (* x y) z)))))))
31.3b	(- (fma x y z) (* (* (cbrt (+ 1 (+ (* x y) z))) (cbrt (+ 1 (+ (* x y) z)))) (cbrt (+ 1 (+ (* x y) z)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

14.0ms	(cbrt (+ 1 (+ (* x y) z)))
10.0ms	(cbrt (+ 1 (+ (* x y) z)))
0.0ms	(posit16->real (real->posit16 (- (fma x y z) (* (* (cbrt (+ 1 (+ (* x y) z))) (cbrt (+ 1 (+ (* x y) z)))) (cbrt (+ 1 (+ (* x y) z)))))))
5.0ms	(- (fma x y z) (* (* (cbrt (+ 1 (+ (* x y) z))) (cbrt (+ 1 (+ (* x y) z)))) (cbrt (+ 1 (+ (* x y) z)))))

series475.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (+ 1 (+ (* x y) z)))
177.0ms	(cbrt (+ 1 (+ (* x y) z)))
41.0ms	(posit16->real (real->posit16 (- (fma x y z) (* (* (cbrt (+ 1 (+ (* x y) z))) (cbrt (+ 1 (+ (* x y) z)))) (cbrt (+ 1 (+ (* x y) z)))))))
67.0ms	(- (fma x y z) (* (* (cbrt (+ 1 (+ (* x y) z))) (cbrt (+ 1 (+ (* x y) z)))) (cbrt (+ 1 (+ (* x y) z)))))

simplify877.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	2001
3	2001
2	608
1	240
0	98

prune760.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 29.9b

localize94.0ms

Local error

Found 4 expressions with local error:

2.2b	(- (fma x y z) z)
6.4b	(posit16->real (real->posit16 (posit16->real (real->posit16 (- (- (fma x y z) z) (+ 1 (* y x)))))))
6.4b	(posit16->real (real->posit16 (- (- (fma x y z) z) (+ 1 (* y x)))))
8.3b	(- (- (fma x y z) z) (+ 1 (* y x)))

rewrite79.0ms

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:

7.0ms	(- (fma x y z) z)
0.0ms	(posit16->real (real->posit16 (posit16->real (real->posit16 (- (- (fma x y z) z) (+ 1 (* y x)))))))
0.0ms	(posit16->real (real->posit16 (- (- (fma x y z) z) (+ 1 (* y x)))))
70.0ms	(- (- (fma x y z) z) (+ 1 (* y x)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (fma x y z) z)
41.0ms	(posit16->real (real->posit16 (posit16->real (real->posit16 (- (- (fma x y z) z) (+ 1 (* y x)))))))
55.0ms	(posit16->real (real->posit16 (- (- (fma x y z) z) (+ 1 (* y x)))))
48.0ms	(- (- (fma x y z) z) (+ 1 (* y x)))

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	2003
3	2003
2	1197
1	315
0	116

prune875.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 29.9b

regimes379.0ms

Accuracy

0% (2.0b remaining)

Error of 30.3b against oracle of 28.2b and baseline of 30.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.7s	2542×	body	1280	valid
1.1s	1663×	body	640	valid
399.0ms	571×	body	2560	valid
253.0ms	749×	body	320	valid
220.0ms	2149×	body	80	valid
56.0ms	326×	body	160	valid