Details

sample56.0ms

Algorithm

intervals

Results

18.0ms	91×	body	1280	valid
8.0ms	56×	body	640	valid
4.0ms	15×	body	2560	valid
3.0ms	22×	body	320	valid
3.0ms	62×	body	80	valid
1.0ms	10×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	43	12
3	88	12
4	196	12
5	340	12
6	1400	12
done	5000	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.4b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.6b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite111.0ms

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:

8.0ms	(+ (* x y) z)
102.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x y) z)
51.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify599.0ms

Counts

35 → 35

Iterations

Useful iterations: done (597.0ms)

Iter	Nodes	Cost
0	65	500
1	184	483
2	811	449
done	5001	447

prune148.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 45.9b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.6b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

15.0ms	(+ (* x y) z)
60.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series80.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x y) z)
44.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify693.0ms

Counts

43 → 43

Iterations

Useful iterations: done (690.0ms)

Iter	Nodes	Cost
0	92	832
1	281	789
2	1231	765
done	5001	722

prune269.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 45.7b

localize12.0ms

Local error

Found 2 expressions with local error:

1.2b	(- (- (- (fma x y z) 1.0) (* x y)) z)
9.6b	(- (- (fma x y z) 1.0) (* x y))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

181.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
55.0ms	(- (- (fma x y z) 1.0) (* x y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
39.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify1.7s

Counts

43 → 43

Iterations

Useful iterations: 3 (521.0ms)

Iter	Nodes	Cost
0	69	646
1	166	611
2	562	587
3	2928	575
done	5001	575

prune216.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 45.5b

localize36.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (- (- (fma x y z) 1.0) (* x y)) z)
9.6b	(- (- (fma x y z) 1.0) (* x y))
9.6b	(- (- (fma x y z) 1.0) (* x y))
9.6b	(- (- (fma x y z) 1.0) (* x y))

rewrite469.0ms

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:

256.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
81.0ms	(- (- (fma x y z) 1.0) (* x y))
79.0ms	(- (- (fma x y z) 1.0) (* x y))
51.0ms	(- (- (fma x y z) 1.0) (* x y))

series205.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
45.0ms	(- (- (fma x y z) 1.0) (* x y))
53.0ms	(- (- (fma x y z) 1.0) (* x y))
49.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify1.8s

Counts

81 → 81

Iterations

Useful iterations: 3 (491.0ms)

Iter	Nodes	Cost
0	69	1180
1	166	1091
2	562	1067
3	2928	1049
done	5001	1049

prune408.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 45.5b

regimes418.0ms

Accuracy

0% (0.7b remaining)

Error of 44.9b against oracle of 44.2b and baseline of 44.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	70
1	17	70
done	17	70

end0.0ms

sample2.6s

Algorithm

intervals

Results

836.0ms	2630×	body	1280	valid
664.0ms	606×	body	2560	valid
287.0ms	1556×	body	640	valid
190.0ms	760×	body	320	valid
168.0ms	2103×	body	80	valid
38.0ms	345×	body	160	valid