Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	77×	body	1280	valid
6.0ms	47×	body	640	valid
4.0ms	18×	body	2560	valid
3.0ms	30×	body	320	valid
3.0ms	79×	body	80	valid
0.0ms	5×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ 1.0 (+ (* x y) z))
7.9b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

11.0ms	(+ (* x y) z)
39.0ms	(+ 1.0 (+ (* x y) z))
89.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) z)
42.0ms	(+ 1.0 (+ (* x y) z))
50.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify742.0ms

Counts

52 → 52

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	79	688
1	229	638
2	1043	614
done	5000	614

prune167.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 42.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(- (fma x y z) 1.0)
7.9b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite92.0ms

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:

14.0ms	(+ (* x y) z)
9.0ms	(- (fma x y z) 1.0)
66.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series126.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (* x y) z)
24.0ms	(- (fma x y z) 1.0)
61.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify826.0ms

Counts

60 → 60

Iterations

Useful iterations: done (823.0ms)

Iter	Nodes	Cost
0	100	1003
1	290	945
2	1217	921
done	5000	875

prune253.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 41.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma x y z) 1.0)
0.5b	(- (- (- (fma x y z) 1.0) (* x y)) z)
8.4b	(- (- (fma x y z) 1.0) (* x y))

rewrite327.0ms

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:

12.0ms	(- (fma x y z) 1.0)
249.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
63.0ms	(- (- (fma x y z) 1.0) (* x y))

series114.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(- (fma x y z) 1.0)
42.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
54.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify1.9s

Counts

60 → 60

Iterations

Useful iterations: 3 (547.0ms)

Iter	Nodes	Cost
0	88	817
1	204	767
2	598	743
3	2545	728
done	5001	728

prune245.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 41.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (- (- (fma x y z) 1.0) (* x y)) z)
8.4b	(- (- (fma x y z) 1.0) (* x y))
8.4b	(- (- (fma x y z) 1.0) (* x y))
8.4b	(- (- (fma x y z) 1.0) (* x y))

rewrite468.0ms

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)
70.0ms	(- (- (fma x y z) 1.0) (* x y))
79.0ms	(- (- (fma x y z) 1.0) (* x y))
59.0ms	(- (- (fma x y z) 1.0) (* x y))

series195.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
43.0ms	(- (- (fma x y z) 1.0) (* x y))
44.0ms	(- (- (fma x y z) 1.0) (* x y))
58.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify1.8s

Counts

81 → 81

Iterations

Useful iterations: 3 (525.0ms)

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

prune309.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 41.9b

regimes293.0ms

Accuracy

0% (0.8b remaining)

Error of 44.2b against oracle of 43.4b and baseline of 44.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	41
1	14	41
done	14	41

end0.0ms

sample2.4s

Algorithm

intervals

Results

851.0ms	2582×	body	1280	valid
442.0ms	668×	body	320	valid
351.0ms	1606×	body	640	valid
230.0ms	2201×	body	80	valid
158.0ms	591×	body	2560	valid
31.0ms	352×	body	160	valid