Details

sample81.0ms

Algorithm

intervals

Results

57.0ms	187×	body	1280	valid
5.0ms	249×	body	80	valid
5.0ms	37×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify226.0ms

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	104	5
6	161	5
7	344	5
8	1452	5
9	5002	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:

17.0ms	(- (exp x) 2.0)
54.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	175	161
1	551	149
2	2525	142
3	5002	137

prune45.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`associate-r` `*-commutative` `fma-udef` `sqr-pow`

Counts

2 → 3

Calls

2 calls:

1.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
3.0ms	(* 1/12 (pow x 4))

series163.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
35.0ms	(* 1/12 (pow x 4))

simplify72.0ms

Algorithm

egg-herbie

Counts

9 → 9

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	22
1	87	22
2	269	22
3	1130	22
4	5001	22

prune11.0ms

Filtered

9 candidates to 3 candidates (33.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	9	0	9
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	9	2	11

Merged error: 0.0b

Counts

11 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
4.7b	(- (exp x) (- 2.0 (exp (- x))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 11

Calls

2 calls:

2.0ms	(- 2.0 (exp (- x)))
3.0ms	(- (exp x) (- 2.0 (exp (- x))))

series72.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- 2.0 (exp (- x)))
60.0ms	(- (exp x) (- 2.0 (exp (- x))))

simplify45.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	145	104
1	429	101
2	1419	98
3	5001	94

prune34.0ms

Filtered

17 candidates to 11 candidates (64.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
0.0b	(- 2.0 (exp (* -1 x)))
0.3b	(/ (fma (- (- 2.0 (exp (- x)))) (- 2.0 (exp (* -1 x))) (exp (+ x x))) (+ (exp x) (- 2.0 (exp (- x)))))
5.4b	(fma (- (- 2.0 (exp (- x)))) (- 2.0 (exp (* -1 x))) (exp (+ x x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

2×	`sub-neg` `flip3--` `associate-/r/` `flip--`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

4 → 14

Calls

4 calls:

2.0ms	(- 2.0 (exp (- x)))
2.0ms	(- 2.0 (exp (* -1 x)))
3.0ms	(/ (fma (- (- 2.0 (exp (- x)))) (- 2.0 (exp (* -1 x))) (exp (+ x x))) (+ (exp x) (- 2.0 (exp (- x)))))
1.0ms	(fma (- (- 2.0 (exp (- x)))) (- 2.0 (exp (* -1 x))) (exp (+ x x)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- 2.0 (exp (- x)))
17.0ms	(- 2.0 (exp (* -1 x)))
202.0ms	(/ (fma (- (- 2.0 (exp (- x)))) (- 2.0 (exp (* -1 x))) (exp (+ x x))) (+ (exp x) (- 2.0 (exp (- x)))))
79.0ms	(fma (- (- 2.0 (exp (- x)))) (- 2.0 (exp (* -1 x))) (exp (+ x x)))

simplify65.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	242	242
1	682	234
2	2251	210
3	5001	205

prune79.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

29 → 3

regimes19.0ms

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	11	5
1	11	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5677×	body	1280	valid
185.0ms	1223×	body	640	valid
175.0ms	7927×	body	80	valid
56.0ms	630×	body	320	valid
17.0ms	303×	body	160	valid