Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

341×

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: 0.3b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (* x x) 3.0) 6.0)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
30×	`times-frac`
20×	`difference-of-squares`
16×	`add-cube-cbrt`
10×	`associate-/l*`
8×	`distribute-lft-out--`
4×	`swap-sqr` `associate-l` `*-commutative` `unswap-sqr`
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 → 58

Calls

1 calls:

20.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	217	379
1	657	364
2	2643	363
3	5003	363

prune63.0ms

Filtered

61 candidates to 35 candidates (57.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	5	62

Merged error: 0b

Counts

62 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b	(* 0.16666666666666666 (pow x 2))

rewrite7.0ms

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×	`pow1` `associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

6.0ms

(* 0.16666666666666666 (pow x 2))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* 0.16666666666666666 (pow x 2))

simplify72.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	107	104
1	404	89
2	1967	89
3	5002	88

prune40.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 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)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
56×	`associate-r`
46×	`pow1`
37×	`unswap-sqr`
36×	`associate-l`
34×	`sqrt-prod`
29×	`*-un-lft-identity`
25×	`add-cube-cbrt`
22×	`swap-sqr`
19×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
7×	`*-commutative`
4×	`pow-sqr` `pow-prod-up`
3×	`add-log-exp`
2×	`pow-plus`
1×	`pow2`

Counts

3 → 138

Calls

3 calls:

4.0ms	(* x (sqrt 0.16666666666666666))
5.0ms	(* x (sqrt 0.16666666666666666))
16.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* x (sqrt 0.16666666666666666))
46.0ms	(* x (sqrt 0.16666666666666666))
73.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

simplify71.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	296	651
1	2083	544
2	5002	534

prune133.0ms

Filtered

147 candidates to 67 candidates (45.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	147	4	151

Merged error: 0b

Counts

151 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
0.4b	(* (sqrt 0.16666666666666666) (pow x 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
50×	`unswap-sqr`
43×	`associate-r`
34×	`sqrt-prod`
18×	`associate-l`
17×	`add-exp-log`
14×	`unpow-prod-down`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp` `unpow2` `sqr-pow`
9×	`pow1` `add-cbrt-cube`
4×	`pow-prod-down` `cbrt-unprod`
3×	`*-commutative`
2×	`pow-to-exp` `pow-exp` `add-log-exp`

Counts

2 → 102

Calls

2 calls:

16.0ms	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
8.0ms	(* (sqrt 0.16666666666666666) (pow x 2))

series125.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
50.0ms	(* (sqrt 0.16666666666666666) (pow x 2))

simplify38.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	239	676
1	1029	464
2	5001	442

prune112.0ms

Filtered

108 candidates to 52 candidates (48.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	108	4	112

Merged error: 0b

Counts

112 → 4

regimes37.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	6
1	8	6

end0.0ms

sample309.0ms

Algorithm

intervals

Results

188.0ms

10576×

body

valid