Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

335×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify86.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (6.0ms)

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

prune66.0ms

Filtered

37 candidates to 30 candidates (81.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	4	38

Merged error: 0b

Counts

38 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 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))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* 0.16666666666666666 (pow x 2))

simplify71.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (68.0ms)

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

prune42.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

localize6.0ms

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)))

rewrite21.0ms

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))
9.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* x (sqrt 0.16666666666666666))
38.0ms	(* x (sqrt 0.16666666666666666))
70.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

simplify157.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (33.0ms)

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

prune78.0ms

Filtered

87 candidates to 40 candidates (46.0%)

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

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (sqrt 3.0))
0.0b	(/ (- x (sqrt 3.0)) 6.0)
0.0b	(- x (sqrt 3.0))
0.7b	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
37×	`times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
16×	`difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-prod` `distribute-lft-out--` `add-log-exp`
6×	`pow1` `associate-/l*`
4×	`associate-l`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

4 → 115

Calls

4 calls:

3.0ms	(+ x (sqrt 3.0))
6.0ms	(/ (- x (sqrt 3.0)) 6.0)
4.0ms	(- x (sqrt 3.0))
13.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series299.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (sqrt 3.0))
66.0ms	(/ (- x (sqrt 3.0)) 6.0)
44.0ms	(- x (sqrt 3.0))
156.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	350	821
1	1627	740
2	5001	728

prune171.0ms

Filtered

127 candidates to 84 candidates (66.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	127	4	131

Merged error: 0b

Counts

131 → 4

regimes13.0ms

Accuracy

0% (0.1b 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	6
1	8	6

end0.0ms

sample312.0ms

Algorithm

intervals

Results

193.0ms

10630×

body

valid