Details

sample48.0ms

Algorithm

intervals

Results

17.0ms	87×	body	1280	valid
7.0ms	48×	body	640	valid
4.0ms	23×	body	2560	valid
3.0ms	68×	body	80	valid
2.0ms	24×	body	320	valid
0.0ms	6×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	42	12
3	83	12
4	165	12
5	291	12
6	530	12
7	863	12
8	1223	12
9	1634	12
10	2034	12
11	2482	12
12	3042	12
13	3514	12
14	4047	12
15	4550	12
done	5000	12

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 45.3b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.6b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite13.0ms

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:

4.0ms	(+ (* x y) z)
8.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x y) z)
12.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify836.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (174.0ms)

Iter	Nodes	Cost
0	64	500
1	185	485
2	563	449
3	2130	447
done	5000	447

prune67.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	28	7	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	7	36

Merged error: 44.8b

Counts

36 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.6b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite16.0ms

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:

4.0ms	(+ (* x y) z)
11.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series16.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x y) z)
10.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify360.0ms

Counts

43 → 43

Iterations

Useful iterations: done (358.0ms)

Iter	Nodes	Cost
0	91	832
1	282	792
2	1097	765
done	5001	722

prune75.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	41	9	50

Merged error: 44.7b

Counts

50 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

1.0b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.6b	(- (- (fma x y z) 1.0) (* x y))

rewrite18.0ms

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:

11.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
7.0ms	(- (- (fma x y z) 1.0) (* x y))

series18.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
8.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify525.0ms

Counts

43 → 43

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	70	646
1	164	615
2	470	587
3	1686	575
done	5000	575

prune105.0ms

Filtered

27 candidates to 43 candidates (-59.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	35	8	43
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	36	16	52

Merged error: 44.5b

Counts

52 → 16

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.6b	(- (- (fma x y z) 1.0) (* x y))
10.6b	(- (- (fma x y z) 1.0) (* x y))
10.6b	(- (- (fma x y z) 1.0) (* x y))

rewrite34.0ms

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:

10.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
7.0ms	(- (- (fma x y z) 1.0) (* x y))
7.0ms	(- (- (fma x y z) 1.0) (* x y))
7.0ms	(- (- (fma x y z) 1.0) (* x y))

series35.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
8.0ms	(- (- (fma x y z) 1.0) (* x y))
8.0ms	(- (- (fma x y z) 1.0) (* x y))
8.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify531.0ms

Counts

81 → 81

Iterations

Useful iterations: 3 (147.0ms)

Iter	Nodes	Cost
0	70	1180
1	164	1097
2	470	1067
3	1686	1049
done	5000	1049

prune128.0ms

Filtered

52 candidates to 81 candidates (-55.8%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	81	16	97

Merged error: 44.5b

Counts

97 → 16

regimes313.0ms

Accuracy

0% (0.7b remaining)

Error of 45.0b against oracle of 44.3b and baseline of 45.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

454.0ms	2639×	body	1280	valid
215.0ms	1595×	body	640	valid
133.0ms	638×	body	2560	valid
84.0ms	2104×	body	80	valid
71.0ms	696×	body	320	valid
27.0ms	328×	body	160	valid

Details

sample48.0ms

simplify2.2s

prune4.0ms

localize9.0ms

rewrite13.0ms

series18.0ms

simplify836.0ms

prune67.0ms

localize9.0ms

rewrite16.0ms

series16.0ms

simplify360.0ms

prune75.0ms

localize8.0ms

rewrite18.0ms

series18.0ms

simplify525.0ms

prune105.0ms

localize13.0ms

rewrite34.0ms

series35.0ms

simplify531.0ms

prune128.0ms

regimes313.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

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