Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	4	9
1	13	7
2	26	7
3	41	7
4	63	7
5	120	7
6	254	7
7	659	7
8	2206	7
done	5000	7

prune6.0ms

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	(+ (pow x 3) (* x x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`cube-mult`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `distribute-lft1-in` `flip3-+` `unpow3` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

7.0ms

(+ (pow x 3) (* x x))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ (pow x 3) (* x x))

simplify588.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	31	179
1	92	162
2	358	144
3	1326	142
done	5000	142

prune33.0ms

Filtered

13 candidates to 17 candidates (-30.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Merged error: 0b

Counts

18 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `associate-r`
4×	`*-un-lft-identity`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-rgt-out` `distribute-lft-in` `distribute-lft1-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

8.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify648.0ms

Counts

27 → 27

Iterations

Useful iterations: done (648.0ms)

Iter	Nodes	Cost
0	44	255
1	132	244
2	493	214
3	1407	211
done	5000	210

prune33.0ms

Filtered

18 candidates to 27 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x (+ x 1)) x)
0.0b	(* x (+ x 1))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

8.0ms	(* (* x (+ x 1)) x)
6.0ms	(* x (+ x 1))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (* x (+ x 1)) x)
5.0ms	(* x (+ x 1))

simplify786.0ms

Counts

49 → 49

Iterations

Useful iterations: done (785.0ms)

Iter	Nodes	Cost
0	62	421
1	184	391
2	712	333
3	2267	331
done	5000	329

prune46.0ms

Filtered

32 candidates to 49 candidates (-53.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x 3) (* x x))
0.0b	(- (pow x 6) (pow x 4))
46.3b	(/ (- (pow x 6) (pow x 4)) (- (pow x 3) (* x x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

204×	`add-sqr-sqrt`
159×	`difference-of-squares`
117×	`times-frac`
81×	`unpow-prod-down` `sqr-pow`
49×	`*-un-lft-identity`
27×	`add-cube-cbrt`
26×	`distribute-lft-out--`
15×	`cube-mult` `distribute-rgt-out--` `unpow3` `cube-prod`
13×	`associate-/l*`
9×	`associate-/r*`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `flip--`
3×	`pow1`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 196

Calls

3 calls:

7.0ms	(- (pow x 3) (* x x))
8.0ms	(- (pow x 6) (pow x 4))
21.0ms	(/ (- (pow x 6) (pow x 4)) (- (pow x 3) (* x x)))

series40.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(- (pow x 3) (* x x))
11.0ms	(- (pow x 6) (pow x 4))
18.0ms	(/ (- (pow x 6) (pow x 4)) (- (pow x 3) (* x x)))

simplify506.0ms

Counts

205 → 205

Iterations

Useful iterations: done (494.0ms)

Iter	Nodes	Cost
0	298	5086
1	671	4697
2	1826	4538
done	5000	4536

prune414.0ms

Filtered

126 candidates to 205 candidates (-62.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	205	3	208

Merged error: 0b

Counts

208 → 3

regimes27.0ms

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	4	7
1	6	7
done	6	7

end0.0ms

sample440.0ms

Algorithm

intervals

Results

166.0ms	8000×	body	80	valid
111.0ms	8000×	pre	80	true

Details

sample17.0ms

simplify1.2s

prune6.0ms

localize4.0ms

rewrite8.0ms

series7.0ms

simplify588.0ms

prune33.0ms

localize4.0ms

rewrite11.0ms

series8.0ms

simplify648.0ms

prune33.0ms

localize4.0ms

rewrite16.0ms

series11.0ms

simplify786.0ms

prune46.0ms

localize10.0ms

rewrite51.0ms

series40.0ms

simplify506.0ms

prune414.0ms

regimes27.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample440.0ms

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