Details

analyze3.0ms

Algorithm: search

sample12.0ms

Algorithm

intervals

Results

5.0ms	232×	body	80	valid
1.0ms	11×	body	640	valid
1.0ms	6×	body	1280	valid
0.0ms	7×	body	320	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	75	4
3	141	4
4	170	4
5	170	4

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)
0.1b	(* 3.0 (- 2.0 (* x 3.0)))

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-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

2.0ms	(- 2.0 (* x 3.0))
6.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
5.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series14.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- 2.0 (* x 3.0))
6.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
5.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	219	323
1	1062	277
2	5002	274

prune88.0ms

Filtered

42 candidates to 65 candidates (-54.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	57	8	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	8	66

Merged error: 0.0b

Counts

66 → 8

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (- 6.0 (* 9.0 x)) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (- 6.0 (* 9.0 x)) x)

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (- 6.0 (* 9.0 x)) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	113	114
1	465	100
2	2777	97
3	5002	97

prune44.0ms

Filtered

15 candidates to 23 candidates (-53.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	22	9	31

Merged error: 0.0b

Counts

31 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) 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-l*`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`associate-r/` `-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

2.0ms	(- 2.0 (* x 3.0))
5.0ms	(* (- 2.0 (* x 3.0)) x)
6.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series15.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- 2.0 (* x 3.0))
5.0ms	(* (- 2.0 (* x 3.0)) x)
7.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify33.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	207	312
1	816	266
2	5001	260

prune72.0ms

Filtered

39 candidates to 61 candidates (-56.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	62	8	70

Merged error: 0b

Counts

70 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.2b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.4b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

3.0ms	(- 2.0 (* x 3.0))
5.0ms	(* (- 2.0 (* x 3.0)) x)
12.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
7.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series36.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- 2.0 (* x 3.0))
5.0ms	(* (- 2.0 (* x 3.0)) x)
15.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
10.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	328	742
1	1360	566
2	5002	516

prune117.0ms

Filtered

54 candidates to 97 candidates (-79.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	97	8	105

Merged error: 0b

Counts

105 → 8

regimes41.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

analyze3.0ms

Algorithm: search

sample326.0ms

Algorithm

intervals

Results

169.0ms	7152×	body	80	valid
36.0ms	353×	body	1280	valid
24.0ms	295×	body	640	valid
8.0ms	132×	body	320	valid
3.0ms	68×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample12.0ms

simplify12.0ms

prune6.0ms

localize6.0ms

rewrite15.0ms

series14.0ms

simplify41.0ms

prune88.0ms

localize4.0ms

rewrite6.0ms

series6.0ms

simplify69.0ms

prune44.0ms

localize6.0ms

rewrite15.0ms

series15.0ms

simplify33.0ms

prune72.0ms

localize9.0ms

rewrite30.0ms

series36.0ms

simplify48.0ms

prune117.0ms

regimes41.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample326.0ms

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