Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify213.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	12	5
2	14	5
3	15	5
4	20	5
5	40	5
6	61	5
7	150	5
8	1038	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 5

Calls

1 calls:

3.0ms

(/ 2.0 (+ (exp x) (exp (- x))))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(/ 2.0 (+ (exp x) (exp (- x))))

simplify149.0ms

Algorithm

egg-herbie

Counts

8 → 8

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	49
1	200	49
2	663	49
3	3592	49
4	5001	49

prune18.0ms

Filtered

8 candidates to 7 candidates (87.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	7	1	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	2	9

Merged error: 0b

Counts

9 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (pow x 2))
0.1b	(* 0.20833333333333334 (pow x 4))
12.6b	(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-r`
2×	`associate--l+` `*-commutative` `sqr-pow`
1×	`+-commutative` `sub-neg` `flip3--` `flip--` `unpow2`

Counts

3 → 11

Calls

3 calls:

2.0ms	(* 0.5 (pow x 2))
2.0ms	(* 0.20833333333333334 (pow x 4))
5.0ms	(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

series114.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* 0.5 (pow x 2))
36.0ms	(* 0.20833333333333334 (pow x 4))
48.0ms	(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

simplify68.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	94	92
1	331	91
2	1619	88
3	5001	88

prune26.0ms

Filtered

20 candidates to 10 candidates (50.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	20	2	22

Merged error: 0b

Counts

22 → 2

regimes41.0ms

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	8	5
1	8	5

end0.0ms

sample271.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid