Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

464×

body

valid

simplify54.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	24	7
3	40	7
4	63	7
5	79	7
6	86	7
7	88	7
done	88	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

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

9.0ms

(* (+ x y) (+ x y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (+ x y) (+ x y))

simplify953.0ms

Counts

43 → 43

Iterations

Useful iterations: 3 (349.0ms)

Iter	Nodes	Cost
0	62	516
1	187	453
2	760	413
3	4174	376
done	5000	376

prune48.0ms

Filtered

24 candidates to 43 candidates (-79.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ x (* 2 y)))
0.0b	(+ (* y y) (* x (+ x (* 2 y))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

6.0ms	(* x (+ x (* 2 y)))
4.0ms	(+ (* y y) (* x (+ x (* 2 y))))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (+ x (* 2 y)))
6.0ms	(+ (* y y) (* x (+ x (* 2 y))))

simplify976.0ms

Counts

41 → 41

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	71	523
1	228	481
2	861	437
3	3188	437
done	5000	437

prune47.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	40	4	44

Merged error: 0b

Counts

44 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-l`
5×	`add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
2×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `sum-log`

Counts

3 → 66

Calls

3 calls:

6.0ms	(* x (+ x y))
9.0ms	(* y (+ x y))
8.0ms	(+ (* x (+ x y)) (* y (+ x y)))

series17.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* x (+ x y))
5.0ms	(* y (+ x y))
7.0ms	(+ (* x (+ x y)) (* y (+ x y)))

simplify698.0ms

Counts

75 → 75

Iterations

Useful iterations: done (696.0ms)

Iter	Nodes	Cost
0	111	883
1	355	750
2	1462	686
done	5000	642

prune62.0ms

Filtered

48 candidates to 75 candidates (-56.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
10×	`add-log-exp`
7×	`add-sqr-sqrt`
6×	`distribute-lft-out`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-+r+` `flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

4.0ms	(+ (* x x) (* y (+ x (+ x y))))
9.0ms	(* y (+ x (+ x y)))
6.0ms	(+ x (+ x y))

series17.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify1.2s

Counts

61 → 61

Iterations

Useful iterations: 3 (368.0ms)

Iter	Nodes	Cost
0	87	674
1	252	629
2	941	509
3	4139	496
done	5000	496

prune57.0ms

Filtered

42 candidates to 61 candidates (-45.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	61	3	64

Merged error: 0b

Counts

64 → 3

regimes70.0ms

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	8	11
1	12	11
done	12	11

end0.0ms

sample666.0ms

Algorithm

intervals

Results

262.0ms

14506×

body

valid

Details

sample23.0ms

simplify54.0ms

prune2.0ms

localize3.0ms

rewrite10.0ms

series4.0ms

simplify953.0ms

prune48.0ms

localize7.0ms

rewrite11.0ms

series13.0ms

simplify976.0ms

prune47.0ms

localize6.0ms

rewrite25.0ms

series17.0ms

simplify698.0ms

prune62.0ms

localize7.0ms

rewrite20.0ms

series17.0ms

simplify1.2s

prune57.0ms

regimes70.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample666.0ms

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