Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify110.0ms

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

prune3.0ms

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 2 expressions with local error:

0.0b	(+ (* x (* x x)) (* x x))
0.1b	(* x (* x x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow2` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `sum-log` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

6.0ms	(+ (* x (* x x)) (* x x))
5.0ms	(* x (* x x))

series93.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* x (* x x)) (* x x))
30.0ms	(* x (* x x))

simplify93.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	158	147
1	646	107
2	2546	106
3	5002	102

prune56.0ms

Filtered

43 candidates to 25 candidates (58.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	42	3	45

Merged error: 0b

Counts

45 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

4.0ms	(+ (* x x) x)
6.0ms	(* x (+ (* x x) x))

series96.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* x x) x)
56.0ms	(* x (+ (* x x) x))

simplify116.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	147	175
1	799	152
2	3842	148
3	5001	147

prune61.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

13.0ms	(* (* x (+ x 1)) x)
9.0ms	(* x (+ x 1))

series138.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (* x (+ x 1)) x)
62.0ms	(* x (+ x 1))

simplify146.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	178	185
1	1014	157
2	4796	156
3	5001	155

prune57.0ms

Filtered

49 candidates to 28 candidates (57.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1) (pow x 3/2))
0.2b	(* (sqrt x) (* (+ x 1) (pow x 3/2)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

7.0ms	(* (+ x 1) (pow x 3/2))
9.0ms	(* (sqrt x) (* (+ x 1) (pow x 3/2)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (+ x 1) (pow x 3/2))
77.0ms	(* (sqrt x) (* (+ x 1) (pow x 3/2)))

simplify41.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	266	339
1	1239	296
2	5001	295

prune290.0ms

Filtered

58 candidates to 39 candidates (67.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Merged error: 0b

Counts

61 → 3

regimes13.0ms

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	6	3
1	6	3

end0.0ms

sample309.0ms

Algorithm

intervals

Results

122.0ms	8000×	body	80	valid
81.0ms	8000×	pre	80	true