Details

sample97.0ms

Algorithm

intervals

Results

27.0ms	80×	body	1280	valid
22.0ms	29×	body	320	valid
12.0ms	46×	body	640	valid
9.0ms	22×	body	2560	valid
5.0ms	69×	body	80	valid
1.0ms	10×	body	160	valid

simplify1.2s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.1b

localize26.0ms

Local error

Found 1 expressions with local error:

10.9b

(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

104.0ms

(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify2.0s

Counts

21 → 21

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	48	376
1	118	362
2	475	338
3	3600	338
done	5000	338

prune75.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.0b

localize11.0ms

Local error

Found 1 expressions with local error:

10.8b

(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

57.0ms

(- (- (fma x y z) 1.0) (+ (* x y) z))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify648.0ms

Counts

29 → 29

Iterations

Useful iterations: done (647.0ms)

Iter	Nodes	Cost
0	87	708
1	270	678
2	1162	654
done	5000	613

prune133.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 43.7b

localize11.0ms

Local error

Found 2 expressions with local error:

1.7b	(- (- (- (fma x y z) 1.0) (* x y)) z)
9.8b	(- (- (fma x y z) 1.0) (* x y))

rewrite297.0ms

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:

254.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
41.0ms	(- (- (fma x y z) 1.0) (* x y))

series141.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
65.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify1.7s

Counts

43 → 43

Iterations

Useful iterations: 3 (483.0ms)

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

prune166.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 43.4b

localize18.0ms

Local error

Found 4 expressions with local error:

1.7b	(- (- (- (fma x y z) 1.0) (* x y)) z)
9.8b	(- (- (fma x y z) 1.0) (* x y))
9.8b	(- (- (fma x y z) 1.0) (* x y))
9.8b	(- (- (fma x y z) 1.0) (* x y))

rewrite401.0ms

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:

215.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
49.0ms	(- (- (fma x y z) 1.0) (* x y))
75.0ms	(- (- (fma x y z) 1.0) (* x y))
56.0ms	(- (- (fma x y z) 1.0) (* x y))

series217.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
45.0ms	(- (- (fma x y z) 1.0) (* x y))
61.0ms	(- (- (fma x y z) 1.0) (* x y))
58.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify1.7s

Counts

81 → 81

Iterations

Useful iterations: 3 (544.0ms)

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

prune299.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 43.4b

regimes277.0ms

Accuracy

0% (0.6b remaining)

Error of 45.4b against oracle of 44.8b and baseline of 45.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	11	12
done	11	12

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	2621×	body	1280	valid
453.0ms	1599×	body	640	valid
248.0ms	620×	body	2560	valid
226.0ms	709×	body	320	valid
164.0ms	2069×	body	80	valid
120.0ms	382×	body	160	valid