Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
2	7	5
done	7	5

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 (- 1.0 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
11×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

11.0ms

(/ x (- 1.0 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ x (- 1.0 x))

simplify2.3s

Counts

40 → 40

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	82	424
1	167	403
2	402	375
3	974	373
4	3022	372
done	5000	372

prune55.0ms

Filtered

30 candidates to 40 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Merged error: 0b

Counts

41 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 x) x)
0.1b	(/ 1 (/ (- 1.0 x) x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
100×	`add-sqr-sqrt` `*-un-lft-identity`
68×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `inv-pow`

Counts

2 → 138

Calls

2 calls:

6.0ms	(/ (- 1.0 x) x)
9.0ms	(/ 1 (/ (- 1.0 x) x))

series8.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (- 1.0 x) x)
3.0ms	(/ 1 (/ (- 1.0 x) x))

simplify2.4s

Counts

144 → 144

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	199	1982
1	460	1656
2	915	1448
3	2186	1416
done	5000	1414

prune108.0ms

Filtered

72 candidates to 144 candidates (-100.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	145	3	148

Merged error: 0b

Counts

148 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ -1 (- 1 (/ 1.0 x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
32×	`times-frac`
30×	`*-un-lft-identity`
16×	`difference-of-squares`
14×	`add-cube-cbrt`
8×	`associate-/r*`
4×	`distribute-lft-out--`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 49

Calls

1 calls:

9.0ms

(/ -1 (- 1 (/ 1.0 x)))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ -1 (- 1 (/ 1.0 x)))

simplify2.4s

Counts

52 → 52

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	117	742
1	226	702
2	480	666
3	1187	661
4	3769	659
done	5000	659

prune67.0ms

Filtered

35 candidates to 52 candidates (-48.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	52	3	55

Merged error: 0b

Counts

55 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(pow (- 1 (/ 1.0 x)) 3)
0.3b	(/ -1 (pow (- 1 (/ 1.0 x)) 3))
17.2b	(cbrt (/ -1 (pow (- 1 (/ 1.0 x)) 3)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

201×	`add-sqr-sqrt`
164×	`times-frac`
137×	`*-un-lft-identity`
73×	`add-cube-cbrt`
72×	`cbrt-prod`
64×	`unpow-prod-down` `cube-prod` `difference-of-squares`
22×	`associate-/r*`
16×	`distribute-lft-out--`
9×	`add-exp-log`
8×	`cube-mult` `unpow3` `sqr-pow`
6×	`cube-div` `add-cbrt-cube`
4×	`pow1` `associate-/r/`
3×	`pow-unpow` `flip3--` `div-exp` `flip--` `associate-/l*` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `div-inv`
1×	`cbrt-undiv` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cube-cbrt`

Counts

3 → 223

Calls

3 calls:

9.0ms	(pow (- 1 (/ 1.0 x)) 3)
12.0ms	(/ -1 (pow (- 1 (/ 1.0 x)) 3))
14.0ms	(cbrt (/ -1 (pow (- 1 (/ 1.0 x)) 3)))

series12.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(pow (- 1 (/ 1.0 x)) 3)
3.0ms	(/ -1 (pow (- 1 (/ 1.0 x)) 3))
6.0ms	(cbrt (/ -1 (pow (- 1 (/ 1.0 x)) 3)))

simplify807.0ms

Counts

232 → 232

Iterations

Useful iterations: done (798.0ms)

Iter	Nodes	Cost
0	296	4501
1	571	4035
2	1676	3800
done	5001	3798

prune266.0ms

Filtered

108 candidates to 232 candidates (-114.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	232	3	235

Merged error: 0b

Counts

235 → 3

regimes53.0ms

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	5
done	4	5

end0.0ms

sample271.0ms

Algorithm

intervals

Results

138.0ms

8000×

body

valid

Details

sample10.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite13.0ms

series3.0ms

simplify2.3s

prune55.0ms

localize5.0ms

rewrite25.0ms

series8.0ms

simplify2.4s

prune108.0ms

localize5.0ms

rewrite12.0ms

series3.0ms

simplify2.4s

prune67.0ms

localize7.0ms

rewrite52.0ms

series12.0ms

simplify807.0ms

prune266.0ms

regimes53.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample271.0ms

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