Details

sample75.0ms

Algorithm

intervals

Results

52.0ms	185×	body	1280	valid
6.0ms	41×	body	640	valid
5.0ms	251×	body	80	valid
1.0ms	16×	body	320	valid
0.0ms	8×	body	160	valid

simplify215.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	100	5
6	144	5
7	296	5
8	1319	5
9	5001	5

prune2.0ms

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: 29.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.0b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`frac-add`
3×	`flip3--` `flip--`
2×	`neg-sub0` `exp-neg` `sub-neg` `associate-+l+` `exp-diff`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

2 → 14

Calls

2 calls:

2.0ms	(- (exp x) 2.0)
4.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify67.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	163	162
1	510	160
2	2306	151
3	5002	151

prune49.0ms

Filtered

20 candidates to 13 candidates (65.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	3	21

Merged error: 0.0b

Counts

21 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

3×	`+-commutative`
2×	`associate-+r+` `flip3-+` `associate-r` `*-commutative` `flip-+` `sqr-pow`

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
7.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
3.0ms	(* 1/360 (pow x 6))
3.0ms	(* 1/12 (pow x 4))

series279.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
58.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
47.0ms	(* 1/360 (pow x 6))
40.0ms	(* 1/12 (pow x 4))

simplify138.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	139	140
1	574	137
2	2644	135
3	5001	135

prune51.0ms

Filtered

24 candidates to 12 candidates (50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	23	4	27

Merged error: 0.0b

Counts

27 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp x) 2.0) (exp x))
0.0b	(- (exp x) 2.0)
0.0b	(* (+ (exp x) 2.0) (exp x))
3.0b	(+ 1 (* (- (exp x) 2.0) (exp x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-*l/`
2×	`flip3--` `flip3-+` `*-commutative` `flip--` `flip-+`
1×	`+-commutative` `sub-neg`

Counts

4 → 13

Calls

4 calls:

4.0ms	(* (- (exp x) 2.0) (exp x))
2.0ms	(- (exp x) 2.0)
4.0ms	(* (+ (exp x) 2.0) (exp x))
4.0ms	(+ 1 (* (- (exp x) 2.0) (exp x)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- (exp x) 2.0) (exp x))
12.0ms	(- (exp x) 2.0)
22.0ms	(* (+ (exp x) 2.0) (exp x))
244.0ms	(+ 1 (* (- (exp x) 2.0) (exp x)))

simplify78.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	162	131
1	570	127
2	2524	125
3	5002	125

prune54.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	1	1
Picked	1	0	1
Done	1	1	2
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp x) 2.0)
0.0b	(pow (* (- (exp x) 2.0) (exp x)) 3)
0.0b	(* (+ (exp x) 2.0) (exp x))
3.0b	(+ 1 (pow (* (- (exp x) 2.0) (exp x)) 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

2×	`unpow-prod-down` `flip3-+` `associate-l/` `-commutative` `flip-+`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `unpow3` `flip--` `sqr-pow`

Counts

4 → 15

Calls

4 calls:

2.0ms	(- (exp x) 2.0)
3.0ms	(pow (* (- (exp x) 2.0) (exp x)) 3)
4.0ms	(* (+ (exp x) 2.0) (exp x))
4.0ms	(+ 1 (pow (* (- (exp x) 2.0) (exp x)) 3))

series340.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (exp x) 2.0)
73.0ms	(pow (* (- (exp x) 2.0) (exp x)) 3)
26.0ms	(* (+ (exp x) 2.0) (exp x))
228.0ms	(+ 1 (pow (* (- (exp x) 2.0) (exp x)) 3))

simplify142.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	205	177
1	715	174
2	3531	171
3	5001	171

prune72.0ms

Filtered

27 candidates to 19 candidates (70.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0.0b

Counts

30 → 3

regimes21.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5678×	body	1280	valid
190.0ms	1238×	body	640	valid
181.0ms	8156×	body	80	valid
55.0ms	602×	body	320	valid
22.0ms	336×	body	160	valid