Details

sample14.0ms

Algorithm

intervals

Results

6.0ms	312×	body	80	valid
1.0ms	13×	body	1280	valid
1.0ms	11×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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:

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

series172.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- 2.0 (* x 3.0))
52.0ms	(* 3.0 (- 2.0 (* x 3.0)))
83.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

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

prune106.0ms

Filtered

65 candidates to 42 candidates (64.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	56	9	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	9	66

Merged error: 0.0b

Counts

66 → 9

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 6.0 (* 9.0 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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

5.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify96.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	122	130
1	534	113
2	2894	113
3	5001	113

prune45.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	28	8	36

Merged error: 0.0b

Counts

36 → 8

localize5.0ms

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))

rewrite16.0ms

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:

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

series185.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- 2.0 (* x 3.0))
68.0ms	(* (- 2.0 (* x 3.0)) x)
82.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify40.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (32.0ms)

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

prune90.0ms

Filtered

61 candidates to 39 candidates (63.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

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))

rewrite34.0ms

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)
13.0ms	(* (* (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))

series414.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- 2.0 (* x 3.0))
68.0ms	(* (- 2.0 (* x 3.0)) x)
173.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
139.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify55.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (47.0ms)

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

prune141.0ms

Filtered

97 candidates to 54 candidates (55.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	97	7	104

Merged error: 0b

Counts

104 → 7

regimes20.0ms

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

sample354.0ms

Algorithm

intervals

Results

183.0ms	9887×	body	80	valid
32.0ms	358×	body	1280	valid
18.0ms	277×	body	640	valid
7.0ms	138×	body	320	valid
2.0ms	71×	body	160	valid