Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	16	7
3	18	7
done	18	7

prune2.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

8.0ms

(/ (- x y) (- 1.0 y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (- x y) (- 1.0 y))

simplify2.1s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	103	740
1	253	711
2	572	677
3	1285	677
4	3107	675
done	5000	675

prune73.0ms

Filtered

38 candidates to 55 candidates (-44.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	4	56

Merged error: 0b

Counts

56 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- 1.0 y))
0.0b	(/ y (- 1.0 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
22×	`add-cube-cbrt`
10×	`associate-/r*`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r/`
2×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

2 → 74

Calls

2 calls:

8.0ms	(/ x (- 1.0 y))
6.0ms	(/ y (- 1.0 y))

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ x (- 1.0 y))
3.0ms	(/ y (- 1.0 y))

simplify1.6s

Counts

80 → 80

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	141	858
1	287	818
2	697	764
3	1738	756
done	5000	752

prune104.0ms

Filtered

60 candidates to 80 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	80	4	84

Merged error: 0b

Counts

84 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.0b	(/ 1 (sqrt (- 1.0 y)))
0.1b	(* (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))))
0.1b	(/ (- x y) (sqrt (- 1.0 y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

196×	`add-sqr-sqrt`
155×	`*-un-lft-identity`
150×	`times-frac`
106×	`sqrt-prod`
77×	`add-cube-cbrt`
46×	`associate-r`
36×	`distribute-lft-out--` `difference-of-squares`
32×	`add-exp-log`
30×	`associate-l`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`unswap-sqr`
11×	`div-exp`
10×	`sqrt-div`
9×	`pow1`
8×	`prod-exp` `associate-/r/` `associate-/l*`
6×	`cbrt-undiv` `flip3--` `flip--`
4×	`cbrt-unprod` `div-inv` `add-log-exp`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`
1×	`frac-times` `rem-sqrt-square` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 257

Calls

4 calls:

3.0ms	(sqrt (- 1.0 y))
7.0ms	(/ 1 (sqrt (- 1.0 y)))
42.0ms	(* (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))))
10.0ms	(/ (- x y) (sqrt (- 1.0 y)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (- 1.0 y))
5.0ms	(/ 1 (sqrt (- 1.0 y)))
6.0ms	(* (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))))
11.0ms	(/ (- x y) (sqrt (- 1.0 y)))

simplify1.2s

Counts

269 → 269

Iterations

Useful iterations: 2 (480.0ms)

Iter	Nodes	Cost
0	331	4542
1	919	4011
2	2693	3557
done	5001	3557

prune350.0ms

Filtered

147 candidates to 269 candidates (-83.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	268	1	269
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	270	3	273

Merged error: 0b

Counts

273 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ y (* y y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`*-un-lft-identity`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out` `flip3-+` `distribute-rgt1-in` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

3.0ms

(+ y (* y y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ y (* y y))

simplify3.7s

Counts

16 → 16

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	29	130
1	77	123
2	258	107
3	903	107
4	4456	107
done	5000	107

prune17.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	16	3	19

Merged error: 0b

Counts

19 → 3

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
done	7	11

end0.0ms

sample408.0ms

Algorithm

intervals

Results

174.0ms

8000×

body

valid

Details

sample15.0ms

simplify6.0ms

prune2.0ms

localize5.0ms

rewrite10.0ms

series6.0ms

simplify2.1s

prune73.0ms

localize6.0ms

rewrite17.0ms

series9.0ms

simplify1.6s

prune104.0ms

localize8.0ms

rewrite76.0ms

series25.0ms

simplify1.2s

prune350.0ms

localize6.0ms

rewrite3.0ms

series5.0ms

simplify3.7s

prune17.0ms

regimes73.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample408.0ms

Profiling