Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

347×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
2	9	5
done	9	5

prune6.0ms

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

6.0ms

(* (* x 3.0) x)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (* x 3.0) x)

simplify4.5s

Counts

21 → 21

Iterations

Useful iterations: 4 (2.4s)

Iter	Nodes	Cost
0	37	157
1	90	152
2	349	122
3	1219	122
4	2825	121
done	5000	121

prune34.0ms

Filtered

12 candidates to 21 candidates (-75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.0b

Counts

22 → 6

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3.0 (* x x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

6.0ms

(* 3.0 (* x x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* 3.0 (* x x))

simplify5.3s

Counts

22 → 22

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	34	162
1	80	159
2	238	129
3	458	129
4	673	129
5	1599	129
6	4924	129
done	5000	129

prune24.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	23	5	28

Merged error: 0.0b

Counts

28 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.4b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
17.2b	(sqrt (* (* x 3.0) x))
17.2b	(sqrt (* (* x 3.0) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* (* x 3.0) x)
18.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series19.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x 3.0) x)
8.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

simplify2.8s

Counts

120 → 120

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	82	1103
1	169	757
2	622	644
3	3292	569
done	5001	569

prune124.0ms

Filtered

57 candidates to 120 candidates (-110.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	118	7	125

Merged error: 0b

Counts

125 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 3.0) (* x x))
0.3b	(* (sqrt 3.0) (* (sqrt 3.0) (* x x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`sqrt-prod`
6×	`add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

7.0ms	(* (sqrt 3.0) (* x x))
11.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* x x)))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (sqrt 3.0) (* x x))
7.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* x x)))

simplify4.8s

Counts

53 → 53

Iterations

Useful iterations: 4 (2.8s)

Iter	Nodes	Cost
0	57	558
1	145	428
2	466	352
3	1280	350
4	4061	342
done	5000	342

prune56.0ms

Filtered

29 candidates to 53 candidates (-82.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	2	1	3
Picked	0	1	1
Done	0	3	3
Total	54	6	60

Merged error: 0b

Counts

60 → 6

regimes73.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample363.0ms

Algorithm

intervals

Results

183.0ms

10706×

body

valid

Details

sample13.0ms

simplify3.0ms

prune6.0ms

localize3.0ms

rewrite6.0ms

series4.0ms

simplify4.5s

prune34.0ms

localize3.0ms

rewrite6.0ms

series4.0ms

simplify5.3s

prune24.0ms

localize6.0ms

rewrite36.0ms

series19.0ms

simplify2.8s

prune124.0ms

localize5.0ms

rewrite20.0ms

series12.0ms

simplify4.8s

prune56.0ms

regimes73.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample363.0ms

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