Details

sample45.0ms

Algorithm

intervals

Results

17.0ms	86×	body	1280	valid
7.0ms	55×	body	640	valid
3.0ms	17×	body	2560	valid
3.0ms	76×	body	80	valid
2.0ms	13×	body	320	valid
1.0ms	9×	body	160	valid

simplify23.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.4b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite120.0ms

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:

16.0ms	(+ (* x y) z)
103.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (* x y) z)
56.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify59.0ms

Counts: 35 → 35

prune163.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 42.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(- (fma x y z) 1.0)
9.4b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

19.0ms	(+ (* x y) z)
11.0ms	(- (fma x y z) 1.0)
89.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series122.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (* x y) z)
27.0ms	(- (fma x y z) 1.0)
70.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify44.0ms

Counts: 60 → 60

prune221.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 42.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma x y z) 1.0)
1.2b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.1b	(- (- (fma x y z) 1.0) (* x y))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`diff-log`
8×	`associate--l+`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`sub-neg`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
2×	`associate--l-` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

7.0ms	(- (fma x y z) 1.0)
272.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
69.0ms	(- (- (fma x y z) 1.0) (* x y))

series135.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (fma x y z) 1.0)
45.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
57.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify61.0ms

Counts: 60 → 60

prune263.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 42.3b

localize49.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.1b	(- (- (fma x y z) 1.0) (* x y))
10.1b	(- (- (fma x y z) 1.0) (* x y))
10.1b	(- (- (fma x y z) 1.0) (* x y))

rewrite472.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

271.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
79.0ms	(- (- (fma x y z) 1.0) (* x y))
77.0ms	(- (- (fma x y z) 1.0) (* x y))
42.0ms	(- (- (fma x y z) 1.0) (* x y))

series224.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
57.0ms	(- (- (fma x y z) 1.0) (* x y))
58.0ms	(- (- (fma x y z) 1.0) (* x y))
45.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify84.0ms

Counts: 81 → 81

prune317.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 42.3b

regimes246.0ms

Accuracy

-0.4% (0.8b remaining)

Error of 45.2b against oracle of 44.4b and baseline of 45.2b

bsearch0.0ms

simplify163.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

815.0ms	2619×	body	1280	valid
799.0ms	619×	body	2560	valid
412.0ms	1613×	body	640	valid
206.0ms	2074×	body	80	valid
109.0ms	743×	body	320	valid
75.0ms	332×	body	160	valid