Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	84×	body	1280	valid
6.0ms	55×	body	640	valid
2.0ms	15×	body	2560	valid
2.0ms	26×	body	320	valid
2.0ms	67×	body	80	valid
0.0ms	9×	body	160	valid

simplify569.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	42	12
3	82	12
4	160	12
5	281	12
6	509	12
7	648	12
8	669	12
done	669	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.2b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ (* x y) z)
26.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series60.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) z)
38.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify860.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (208.0ms)

Iter	Nodes	Cost
0	65	500
1	177	483
2	517	449
3	1951	447
done	5001	447

prune94.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 44.6b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

8.0ms	(+ z (+ (* x y) 1.0))
23.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ z (+ (* x y) 1.0))
40.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

simplify729.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	61	560
1	164	523
2	467	499
3	1946	499
done	5001	499

prune111.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 30.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
1.9b	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
2.0b	(- (fma x y z) z)
9.2b	(- (- (fma x y z) z) (+ (* x y) 1.0))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`cbrt-prod` `add-log-exp`
16×	`distribute-lft-out--`
12×	`cube-div` `unpow-prod-down` `cube-prod` `frac-sub`
10×	`add-cube-cbrt` `flip3--` `flip--`
7×	`diff-log`
6×	`cbrt-div` `flip3-+` `flip-+` `difference-of-squares`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`sub-neg` `pow-unpow`
2×	`cube-mult` `unpow3` `associate--l+` `sum-log` `sqr-pow`
1×	`associate--l-` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `associate--r+` `rem-cube-cbrt`

Counts

4 → 108

Calls

4 calls:

32.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
30.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
5.0ms	(- (fma x y z) z)
25.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

series275.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
37.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
19.0ms	(- (fma x y z) z)
41.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify743.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (217.0ms)

Iter	Nodes	Cost
0	198	3216
1	586	2796
2	2282	2638
done	5000	2638

prune327.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 14.0b

localize10.0ms

Local error

Found 2 expressions with local error:

2.0b	(- (fma x y z) z)
8.8b	(- (- (fma x y z) z) (* x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

2.0ms	(- (fma x y z) z)
18.0ms	(- (- (fma x y z) z) (* x y))

series53.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(- (fma x y z) z)
33.0ms	(- (- (fma x y z) z) (* x y))

simplify1.7s

Counts

36 → 36

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	56	438
1	131	416
2	352	396
3	1107	390
4	3714	390
done	5000	390

prune78.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.5b

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 8.3b against oracle of 8.3b and baseline of 8.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	19	15
done	19	15

end0.0ms

sample934.0ms

Algorithm

intervals

Results

352.0ms	2634×	body	1280	valid
162.0ms	1541×	body	640	valid
102.0ms	615×	body	2560	valid
63.0ms	2136×	body	80	valid
61.0ms	728×	body	320	valid
19.0ms	346×	body	160	valid