Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

465×

body

valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	23	13
3	36	9
4	45	9
5	46	9
done	46	9

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* 3 (* y y)))
0.2b	(* 3 (* y y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+ (* x x) (* 3 (* y y)))
6.0ms	(* 3 (* y y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* x x) (* 3 (* y y)))
3.0ms	(* 3 (* y y))

simplify1.3s

Counts

36 → 36

Iterations

Useful iterations: 3 (158.0ms)

Iter	Nodes	Cost
0	57	370
1	164	344
2	550	296
3	1588	288
4	4205	288
done	5000	288

prune68.0ms

Filtered

25 candidates to 36 candidates (-44.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (* 3 y) y))
0.2b	(* (* 3 y) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x x) (* (* 3 y) y))
5.0ms	(* (* 3 y) y)

series14.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x x) (* (* 3 y) y))
3.0ms	(* (* 3 y) y)

simplify757.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (235.0ms)

Iter	Nodes	Cost
0	59	365
1	176	337
2	720	291
3	2263	281
done	5000	281

prune55.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	35	6	41

Merged error: 0.0b

Counts

41 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.1b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

4.0ms	(+ (* x x) (* y y))
6.0ms	(+ (+ (* x x) (* y y)) (* y y))
10.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series21.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* x x) (* y y))
7.0ms	(+ (+ (* x x) (* y y)) (* y y))
8.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify909.0ms

Counts

47 → 47

Iterations

Useful iterations: 3 (261.0ms)

Iter	Nodes	Cost
0	70	791
1	218	667
2	818	591
3	2782	513
done	5000	513

prune74.0ms

Filtered

35 candidates to 47 candidates (-34.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* y y))
0.2b	(* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))
5.0b	(sqrt (+ (* x x) (* 3 (* y y))))
5.0b	(sqrt (+ (* x x) (* 3 (* y y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`pow1`
24×	`sqrt-prod`
16×	`sqrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-l`
8×	`flip3-+` `swap-sqr` `flip-+`
7×	`associate-r`
6×	`pow-prod-down`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 106

Calls

4 calls:

6.0ms	(* 3 (* y y))
12.0ms	(* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))
4.0ms	(sqrt (+ (* x x) (* 3 (* y y))))
4.0ms	(sqrt (+ (* x x) (* 3 (* y y))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3 (* y y))
7.0ms	(* (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))))
8.0ms	(sqrt (+ (* x x) (* 3 (* y y))))
8.0ms	(sqrt (+ (* x x) (* 3 (* y y))))

simplify730.0ms

Counts

118 → 118

Iterations

Useful iterations: 3 (245.0ms)

Iter	Nodes	Cost
0	114	2374
1	245	1659
2	789	1437
3	2619	1366
done	5000	1366

prune163.0ms

Filtered

74 candidates to 118 candidates (-59.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	118	6	124

Merged error: 0b

Counts

124 → 6

regimes271.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
done	10	9

end0.0ms

sample880.0ms

Algorithm

intervals

Results

461.0ms

14510×

body

valid

Details

sample30.0ms

simplify22.0ms

prune12.0ms

localize6.0ms

rewrite11.0ms

series10.0ms

simplify1.3s

prune68.0ms

localize6.0ms

rewrite10.0ms

series14.0ms

simplify757.0ms

prune55.0ms

localize7.0ms

rewrite21.0ms

series21.0ms

simplify909.0ms

prune74.0ms

localize8.0ms

rewrite33.0ms

series27.0ms

simplify730.0ms

prune163.0ms

regimes271.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample880.0ms

Profiling