Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
10.0ms	256×	pre	80	true

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	38	7
3	57	7
4	58	7
done	58	7

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* a (+ (+ b c) d))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

9.0ms

(* a (+ (+ b c) d))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* a (+ (+ b c) d))

simplify693.0ms

Counts

27 → 27

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	52	255
1	148	249
2	465	212
3	1924	212
done	5001	212

prune36.0ms

Filtered

19 candidates to 27 candidates (-42.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0b

Counts

28 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ b c) a) (* a d))
0.0b	(* (+ b c) a)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

7.0ms	(+ (* (+ b c) a) (* a d))
6.0ms	(* (+ b c) a)

series17.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* (+ b c) a) (* a d))
6.0ms	(* (+ b c) a)

simplify990.0ms

Counts

38 → 38

Iterations

Useful iterations: 3 (283.0ms)

Iter	Nodes	Cost
0	69	382
1	197	371
2	751	299
3	3012	296
done	5000	296

prune41.0ms

Filtered

29 candidates to 38 candidates (-31.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* a d))
0.3b	(* (+ b c) (sqrt a))
0.3b	(* (* (+ b c) (sqrt a)) (sqrt a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

10.0ms	(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* a d))
11.0ms	(* (+ b c) (sqrt a))
10.0ms	(* (* (+ b c) (sqrt a)) (sqrt a))

series38.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* a d))
11.0ms	(* (+ b c) (sqrt a))
9.0ms	(* (* (+ b c) (sqrt a)) (sqrt a))

simplify589.0ms

Counts

68 → 68

Iterations

Useful iterations: done (587.0ms)

Iter	Nodes	Cost
0	118	862
1	339	669
2	1252	576
done	5001	555

prune60.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	68	3	71

Merged error: 0b

Counts

71 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.0b	(sqrt (+ (+ b c) d))
0.2b	(* a (sqrt (+ (+ b c) d)))
0.4b	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

6.0ms	(sqrt (+ (+ b c) d))
6.0ms	(sqrt (+ (+ b c) d))
10.0ms	(* a (sqrt (+ (+ b c) d)))
17.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (+ (+ b c) d))
15.0ms	(sqrt (+ (+ b c) d))
21.0ms	(* a (sqrt (+ (+ b c) d)))
25.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: 3 (534.0ms)

Iter	Nodes	Cost
0	142	1546
1	374	1292
2	1243	1181
3	4769	1133
done	5000	1133

prune86.0ms

Filtered

74 candidates to 103 candidates (-39.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes356.0ms

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	7
1	10	7
done	10	7

end0.0ms

sample906.0ms

Algorithm

intervals

Results

322.0ms	8000×	pre	80	true
221.0ms	8000×	body	80	valid

Details

sample37.0ms

simplify21.0ms

prune4.0ms

localize6.0ms

rewrite9.0ms

series9.0ms

simplify693.0ms

prune36.0ms

localize10.0ms

rewrite14.0ms

series17.0ms

simplify990.0ms

prune41.0ms

localize9.0ms

rewrite33.0ms

series38.0ms

simplify589.0ms

prune60.0ms

localize11.0ms

rewrite42.0ms

series72.0ms

simplify1.4s

prune86.0ms

regimes356.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample906.0ms

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