Details

sample16.0ms

Algorithm

intervals

Results

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

simplify1.9s

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	136	7
6	322	7
7	872	7
8	2698	7
done	5000	7

prune5.0ms

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))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify722.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	31	179
1	92	162
2	409	144
3	1449	142
done	5000	142

prune31.0ms

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))

rewrite8.0ms

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:

7.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify2.7s

Counts

27 → 27

Iterations

Useful iterations: 4 (775.0ms)

Iter	Nodes	Cost
0	44	255
1	132	245
2	413	215
3	1253	212
4	4776	210
done	5000	210

prune28.0ms

Filtered

21 candidates to 27 candidates (-28.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0b

Counts

30 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 3) (* x x))
0.1b	(pow (+ (pow x 3) (* x x)) 3)
21.0b	(cbrt (pow (+ (pow x 3) (* x x)) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
12×	`cube-mult` `unpow-prod-down` `cube-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow3`
5×	`distribute-rgt-out` `distribute-lft1-in` `distribute-lft-out` `add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cbrt-div` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 74

Calls

3 calls:

9.0ms	(+ (pow x 3) (* x x))
9.0ms	(pow (+ (pow x 3) (* x x)) 3)
9.0ms	(cbrt (pow (+ (pow x 3) (* x x)) 3))

series22.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (pow x 3) (* x x))
4.0ms	(pow (+ (pow x 3) (* x x)) 3)
11.0ms	(cbrt (pow (+ (pow x 3) (* x x)) 3))

simplify425.0ms

Counts

83 → 83

Iterations

Useful iterations: done (423.0ms)

Iter	Nodes	Cost
0	96	1221
1	268	1010
2	928	869
done	5000	862

prune103.0ms

Filtered

50 candidates to 83 candidates (-66.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Merged error: 0b

Counts

86 → 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)))

rewrite50.0ms

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))
22.0ms	(/ (- (pow x 6) (pow x 4)) (- (pow x 3) (* x x)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(- (pow x 3) (* x x))
10.0ms	(- (pow x 6) (pow x 4))
17.0ms	(/ (- (pow x 6) (pow x 4)) (- (pow x 3) (* x x)))

simplify560.0ms

Counts

205 → 205

Iterations

Useful iterations: done (553.0ms)

Iter	Nodes	Cost
0	298	5086
1	671	4697
2	1878	4542
done	5001	4538

prune447.0ms

Filtered

147 candidates to 205 candidates (-39.5%)

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

sample428.0ms

Algorithm

intervals

Results

163.0ms	8000×	body	80	valid
112.0ms	8000×	pre	80	true

Details

sample16.0ms

simplify1.9s

prune5.0ms

localize4.0ms

rewrite8.0ms

series12.0ms

simplify722.0ms

prune31.0ms

localize4.0ms

rewrite8.0ms

series8.0ms

simplify2.7s

prune28.0ms

localize7.0ms

rewrite29.0ms

series22.0ms

simplify425.0ms

prune103.0ms

localize10.0ms

rewrite50.0ms

series38.0ms

simplify560.0ms

prune447.0ms

regimes27.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample428.0ms

Profiling