Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

391×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	37	9
3	76	9
4	106	9
5	146	9
6	270	9
7	676	9
8	2162	9
done	5000	9

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 55

Calls

3 calls:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
6.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
6.0ms	(* 0.12900613773279798 (* x x))

series22.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
12.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
4.0ms	(* 0.12900613773279798 (* x x))

simplify1.9s

Counts

64 → 64

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	85	673
1	201	636
2	613	564
3	2719	564
done	5001	564

prune84.0ms

Filtered

42 candidates to 64 candidates (-52.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	61	5	66

Merged error: 0b

Counts

66 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
0.1b	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
0.1b	(* (* 0.12900613773279798 x) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

3.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
6.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
5.0ms	(* (* 0.12900613773279798 x) x)

series18.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
9.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
3.0ms	(* (* 0.12900613773279798 x) x)

simplify2.4s

Counts

63 → 63

Iterations

Useful iterations: 3 (976.0ms)

Iter	Nodes	Cost
0	84	668
1	209	635
2	724	561
3	3209	557
done	5001	557

prune67.0ms

Filtered

40 candidates to 63 candidates (-57.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	63	5	68

Merged error: 0b

Counts

68 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.5b	(* 0.12900613773279798 (pow x 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 43

Calls

2 calls:

4.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
7.0ms	(* 0.12900613773279798 (pow x 3))

series13.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
4.0ms	(* 0.12900613773279798 (pow x 3))

simplify1.7s

Counts

49 → 49

Iterations

Useful iterations: 3 (429.0ms)

Iter	Nodes	Cost
0	75	483
1	185	433
2	571	401
3	2901	399
done	5000	399

prune66.0ms

Filtered

30 candidates to 49 candidates (-63.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	2	0	2
Picked	0	1	1
Done	1	1	2
Total	50	4	54

Merged error: 0b

Counts

54 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
0.1b	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
0.2b	(* 0.12900613773279798 (* x x))
28.1b	(cbrt (pow x 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`pow1` `add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`associate-l`
2×	`cube-mult` `unpow3` `*-commutative` `sqr-pow`
1×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

4.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
12.0ms	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
6.0ms	(* 0.12900613773279798 (* x x))
3.0ms	(cbrt (pow x 3))

series28.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
9.0ms	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
3.0ms	(* 0.12900613773279798 (* x x))
3.0ms	(cbrt (pow x 3))

simplify881.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	124	1098
1	323	731
2	1225	657
done	5000	657

prune111.0ms

Filtered

57 candidates to 97 candidates (-70.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes31.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	9	9
done	9	9

end0.0ms

sample739.0ms

Algorithm

intervals

Results

545.0ms

12008×

body

valid

Details

sample21.0ms

simplify3.9s

prune6.0ms

localize6.0ms

rewrite17.0ms

series22.0ms

simplify1.9s

prune84.0ms

localize6.0ms

rewrite15.0ms

series18.0ms

simplify2.4s

prune67.0ms

localize6.0ms

rewrite11.0ms

series13.0ms

simplify1.7s

prune66.0ms

localize10.0ms

rewrite26.0ms

series28.0ms

simplify881.0ms

prune111.0ms

regimes31.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample739.0ms

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