Details

sample11.0ms

Algorithm

intervals

Results

3.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	25	3
2	39	3
3	70	3
4	181	3
5	682	3
6	2463	3
7	5001	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ (* x x) x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `associate-r`
4×	`*-un-lft-identity`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-rgt-out` `distribute-lft-in` `distribute-lft1-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

6.0ms

(* x (+ (* x x) x))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(* x (+ (* x x) x))

simplify107.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	129	117
1	713	102
2	3504	100
3	5002	99

prune35.0ms

Filtered

27 candidates to 18 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (pow x 3) (pow x 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
2×	`distribute-lft-out` `unpow2`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `cube-mult` `add-cube-cbrt` `distribute-rgt-out` `flip3-+` `unpow3` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 14

Calls

1 calls:

11.0ms

(+ (pow x 3) (pow x 2))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(+ (pow x 3) (pow x 2))

simplify58.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	81	79
1	323	72
2	1388	68
3	5002	68

prune27.0ms

Filtered

17 candidates to 10 candidates (58.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	17	4	21

Merged error: 0b

Counts

21 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (pow x 2) (+ x 1))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-l`
6×	`add-exp-log` `*-un-lft-identity`
4×	`add-cube-cbrt` `unpow-prod-down` `associate-r` `unswap-sqr`
3×	`prod-exp` `add-cbrt-cube`
2×	`associate-*r/` `unpow2` `sqr-pow`
1×	`pow1` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

7.0ms

(* (pow x 2) (+ x 1))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* (pow x 2) (+ x 1))

simplify33.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	180	160
1	937	135
2	5001	131

prune39.0ms

Filtered

35 candidates to 21 candidates (60.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	36	3	39

Merged error: 0b

Counts

39 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow (sqrt x) 2) (* x (+ x 1)))
0.0b	(* x (+ x 1))
0.5b	(pow (sqrt x) 2)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`associate-l`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`unpow-prod-down`
11×	`add-cube-cbrt`
10×	`prod-exp` `add-cbrt-cube`
7×	`pow1`
6×	`associate-*r/` `sqrt-prod`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`cbrt-unprod`
3×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `add-log-exp`
2×	`flip3-+` `*-commutative` `flip-+` `unpow2` `sqr-pow`
1×	`sqrt-pow1` `pow1/2` `pow-prod-down` `sqrt-pow2` `distribute-lft-out` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

12.0ms	(* (pow (sqrt x) 2) (* x (+ x 1)))
5.0ms	(* x (+ x 1))
3.0ms	(pow (sqrt x) 2)

series125.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* (pow (sqrt x) 2) (* x (+ x 1)))
36.0ms	(* x (+ x 1))
32.0ms	(pow (sqrt x) 2)

simplify66.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	365	430
1	1912	298
2	5001	290

prune108.0ms

Filtered

90 candidates to 54 candidates (60.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Merged error: 0b

Counts

93 → 3

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample262.0ms

Algorithm

intervals

Results

108.0ms	8000×	body	80	valid
67.0ms	8000×	pre	80	true