Details

sample38.0ms

Algorithm

intervals

Results

9.0ms	237×	body	80	valid
5.0ms	30×	body	1280	valid
3.0ms	20×	body	640	valid
2.0ms	11×	body	2560	valid
2.0ms	19×	body	320	valid
1.0ms	22×	body	160	valid

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (117.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	67	9
3	154	7
4	533	5
5	2197	5
done	5000	5

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

7.0ms

(* (- x z) y)

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (- x z) y)

simplify2.8s

Counts

25 → 25

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	49	185
1	105	178
2	344	158
3	1203	158
4	2888	158
done	5000	158

prune27.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Merged error: 0b

Counts

26 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
2.6b	(cbrt (* (- x z) y))
2.6b	(cbrt (* (- x z) y))
2.6b	(cbrt (* (- x z) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
5.0ms	(cbrt (* (- x z) y))
6.0ms	(cbrt (* (- x z) y))
9.0ms	(cbrt (* (- x z) y))

series162.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
38.0ms	(cbrt (* (- x z) y))
34.0ms	(cbrt (* (- x z) y))
35.0ms	(cbrt (* (- x z) y))

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: 3 (537.0ms)

Iter	Nodes	Cost
0	154	1355
1	340	1237
2	904	1132
3	2496	1017
done	5000	1017

prune97.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x z) y)
0.2b	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
2.1b	(sqrt (* (- x z) y))
2.1b	(sqrt (* (- x z) y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

7.0ms	(* (- x z) y)
14.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
9.0ms	(sqrt (* (- x z) y))
5.0ms	(sqrt (* (- x z) y))

series135.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (- x z) y)
19.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
56.0ms	(sqrt (* (- x z) y))
53.0ms	(sqrt (* (- x z) y))

simplify2.4s

Counts

117 → 117

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	117	1321
1	221	981
2	706	917
3	3109	865
done	5001	865

prune83.0ms

Filtered

69 candidates to 117 candidates (-69.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Merged error: 0b

Counts

120 → 3

regimes125.0ms

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	5	5
1	6	5
done	6	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

279.0ms	7145×	body	80	valid
157.0ms	938×	body	1280	valid
116.0ms	826×	body	640	valid
51.0ms	502×	body	320	valid
44.0ms	226×	body	2560	valid
39.0ms	566×	body	160	valid

Details

sample38.0ms

simplify5.6s

prune7.0ms

localize4.0ms

rewrite7.0ms

series7.0ms

simplify2.8s

prune27.0ms

localize8.0ms

rewrite29.0ms

series162.0ms

simplify1.2s

prune97.0ms

localize6.0ms

rewrite39.0ms

series135.0ms

simplify2.4s

prune83.0ms

regimes125.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling