Details

sample14.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify108.0ms

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 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:

7.0ms	(+ (* x (* x x)) (* x x))
5.0ms	(* x (* x x))

series100.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* x (* x x)) (* x x))
36.0ms	(* x (* x x))

simplify93.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (90.0ms)

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

prune43.0ms

Filtered

43 candidates to 25 candidates (58.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0b

Counts

45 → 3

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:

7.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify105.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 3 (102.0ms)

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

prune28.0ms

Filtered

27 candidates to 18 candidates (66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

30 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (pow x 3) 1) (pow x 6))
0.0b	(* (pow x 4) (- (+ (pow x 2) 1) x))
0.0b	(- (+ (pow x 2) 1) x)
52.9b	(/ (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (pow x 2) 1) x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
30×	`prod-exp`
24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cbrt-cube`
16×	`div-exp`
13×	`associate-r`
11×	`associate-l`
10×	`pow-to-exp` `add-cube-cbrt` `pow-exp`
9×	`add-log-exp`
8×	`unpow-prod-down`
6×	`cbrt-unprod` `unswap-sqr`
4×	`pow1` `cbrt-undiv` `associate-r/` `associate-l/` `distribute-lft-out--` `sqr-pow`
3×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate--l+` `flip--` `distribute-lft-out`
2×	`flip3-+` `diff-log` `associate-/r/` `*-commutative` `flip-+` `associate-/l/` `difference-of-squares`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-log` `div-inv` `associate-/l`

Counts

4 → 118

Calls

4 calls:

10.0ms	(* (+ (pow x 3) 1) (pow x 6))
12.0ms	(* (pow x 4) (- (+ (pow x 2) 1) x))
8.0ms	(- (+ (pow x 2) 1) x)
19.0ms	(/ (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (pow x 2) 1) x)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (+ (pow x 3) 1) (pow x 6))
33.0ms	(* (pow x 4) (- (+ (pow x 2) 1) x))
16.0ms	(- (+ (pow x 2) 1) x)
160.0ms	(/ (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (pow x 2) 1) x)))

simplify100.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	499	1060
1	2854	907
2	5001	897

prune255.0ms

Filtered

130 candidates to 74 candidates (56.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Merged error: 0b

Counts

133 → 3

regimes26.0ms

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	4
1	6	4

end0.0ms

sample341.0ms

Algorithm

intervals

Results

141.0ms	8000×	body	80	valid
104.0ms	8000×	pre	80	true