Details

sample81.0ms

Algorithm

intervals

Results

55.0ms	187×	body	1280	valid
8.0ms	249×	body	80	valid
5.0ms	37×	body	640	valid
1.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify220.0ms

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: 29.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.9b	(+ (- (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)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
58.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify66.0ms

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

prune43.0ms

Filtered

20 candidates to 13 candidates (65.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	2	21

Merged error: 0.0b

Counts

21 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 7

Calls

3 calls:

6.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
3.0ms	(* 1/360 (pow x 6))
3.0ms	(* 1/12 (pow x 4))

series206.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
47.0ms	(* 1/360 (pow x 6))
34.0ms	(* 1/12 (pow x 4))

simplify84.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	82	66
1	317	63
2	1579	62
3	5001	61

prune25.0ms

Filtered

16 candidates to 7 candidates (43.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (* -1 x)) 2.0)
4.7b	(+ (exp x) (- (exp (* -1 x)) 2.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

2×	`sub-neg` `associate-+r+`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

2 → 10

Calls

2 calls:

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

series67.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(- (exp (* -1 x)) 2.0)
52.0ms	(+ (exp x) (- (exp (* -1 x)) 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	125	100
1	341	99
2	1183	98
3	5001	98

prune30.0ms

Filtered

16 candidates to 10 candidates (62.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.0b	(* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0))
0.3b	(/ (- (* (exp x) (exp x)) (* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0))) (- (exp x) (- (exp (* -1 x)) 2.0)))
4.7b	(- (* (exp x) (exp x)) (* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-commutative`
9×	`flip3--` `flip--`
8×	`associate--r+` `difference-of-squares`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`div-sub`
4×	`frac-times` `associate-/l*`
2×	`pow2` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
1×	`frac-2neg` `prod-exp` `clear-num` `div-inv`

Counts

4 → 45

Calls

4 calls:

3.0ms	(* (exp x) (exp x))
8.0ms	(* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0))
12.0ms	(/ (- (* (exp x) (exp x)) (* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0))) (- (exp x) (- (exp (* -1 x)) 2.0)))
9.0ms	(- (* (exp x) (exp x)) (* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (exp x) (exp x))
40.0ms	(* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0))
166.0ms	(/ (- (* (exp x) (exp x)) (* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0))) (- (exp x) (- (exp (* -1 x)) 2.0)))
88.0ms	(- (* (exp x) (exp x)) (* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	328	668
1	1315	625
2	5002	611

prune107.0ms

Filtered

57 candidates to 31 candidates (54.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	57	3	60

Merged error: 0b

Counts

60 → 3

regimes15.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

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	5677×	body	1280	valid
189.0ms	1223×	body	640	valid
172.0ms	7927×	body	80	valid
58.0ms	630×	body	320	valid
17.0ms	303×	body	160	valid