Details

sample255.0ms

Algorithm

intervals

Results

5.0ms	70×	body	1280	valid
3.0ms	157×	body	80	valid
3.0ms	58×	body	640	valid
1.0ms	27×	body	320	valid
0.0ms	11×	body	160	valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	37	4
2	103	4
3	220	4
4	387	4
5	527	4
6	803	4
7	1602	4
8	2861	4
9	4334	4
10	4807	4
11	5001	4

prune3.0ms

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: 38.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
3.3b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
9×	`pow1`
7×	`swap-sqr` `distribute-lft-out`
6×	`add-cube-cbrt` `flip3-+` `associate-l` `flip-+`
5×	`difference-of-squares`
4×	`add-exp-log` `+-commutative` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-r` `associate--l+` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out--`
2×	`associate-r/` `associate-l/` `*-commutative` `unswap-sqr`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `flip--` `cbrt-unprod`

Counts

2 → 66

Calls

2 calls:

8.0ms	(* (+ x 1.0) (+ x 1.0))
18.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series88.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
71.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify37.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	246	356
1	1013	323
2	5002	314

prune86.0ms

Filtered

72 candidates to 38 candidates (52.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	2	73

Merged error: 0.0b

Counts

73 → 2

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ 2.0 x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

6.0ms

(* x (+ 2.0 x))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* x (+ 2.0 x))

simplify75.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	123	89
1	594	80
2	2937	80
3	5001	80

prune34.0ms

Filtered

28 candidates to 17 candidates (60.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (pow x 2) (* x 2.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

12.0ms

(+ (pow x 2) (* x 2.0))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(+ (pow x 2) (* x 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	89	82
1	346	68
2	1256	64
3	5002	64

prune29.0ms

Filtered

18 candidates to 12 candidates (66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	18	3	21

Merged error: 0b

Counts

21 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 2.0 x))
0.1b	(* x (+ (pow 2.0 3) (pow x 3)))
9.9b	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

908×	`*-un-lft-identity`
335×	`associate-l`
295×	`distribute-lft-out`
273×	`times-frac`
189×	`associate-r`
182×	`distribute-lft-out--`
126×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
60×	`unpow-prod-down` `pow-unpow` `cube-prod` `sum-cubes`
22×	`*-commutative` `unswap-sqr`
21×	`associate-/l*`
13×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
8×	`distribute-rgt-out--`
5×	`pow1` `add-log-exp`
4×	`associate-*r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `distribute-lft-in` `swap-sqr` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `flip--` `div-inv`

Counts

3 → 394

Calls

3 calls:

14.0ms	(- (* x x) (* 2.0 x))
15.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
57.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

series344.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* x x) (* 2.0 x))
91.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
200.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

simplify142.0ms

Algorithm

egg-herbie

Counts

403 → 403

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	737	4710
1	3751	4453
2	5001	4449

prune331.0ms

Filtered

403 candidates to 106 candidates (26.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	403	0	403
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	403	3	406

Merged error: 0b

Counts

406 → 3

regimes17.0ms

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	8	3
1	8	3

end0.0ms

sample485.0ms

Algorithm

intervals

Results

156.0ms	2312×	body	1280	valid
85.0ms	1634×	body	640	valid
81.0ms	5303×	body	80	valid
34.0ms	848×	body	320	valid
15.0ms	470×	body	160	valid