Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

330×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	16	3
2	20	3
3	21	3
4	21	3

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/l*` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

10.0ms

(/ (- (* x x) 3.0) 6.0)

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

(/ (- (* x x) 3.0) 6.0)

simplify62.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	175	222
1	562	208
2	2219	208
3	5001	208

prune61.0ms

Filtered

37 candidates to 30 candidates (81.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	5	38

Merged error: 0b

Counts

38 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 0.16666666666666666 (pow x 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

5.0ms

(* 0.16666666666666666 (pow x 2))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* 0.16666666666666666 (pow x 2))

simplify70.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	107	102
1	404	87
2	1988	87
3	5002	86

prune39.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	31	4	35

Merged error: 0b

Counts

35 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 0.16666666666666666) x)

rewrite5.0ms

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:

5.0ms

(* (* x 0.16666666666666666) x)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* (* x 0.16666666666666666) x)

simplify68.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	94	72
1	433	57
2	2295	57
3	5001	56

prune18.0ms

Filtered

21 candidates to 10 candidates (47.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0b

Counts

25 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (sqrt 0.16666666666666666))
0.2b	(* x (sqrt 0.16666666666666666))
0.3b	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
19×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`associate-l`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

3 → 78

Calls

3 calls:

5.0ms	(* x (sqrt 0.16666666666666666))
5.0ms	(* x (sqrt 0.16666666666666666))
8.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

series148.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* x (sqrt 0.16666666666666666))
43.0ms	(* x (sqrt 0.16666666666666666))
67.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

simplify129.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	138	312
1	653	242
2	3648	238
3	5001	238

prune74.0ms

Filtered

87 candidates to 41 candidates (47.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Merged error: 0b

Counts

91 → 4

regimes37.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample350.0ms

Algorithm

intervals

Results

229.0ms

10654×

body

valid