Details

sample67.0ms

Algorithm

intervals

Results

31.0ms	111×	body	1280	valid
12.0ms	78×	body	640	valid
9.0ms	289×	body	80	valid
3.0ms	35×	body	320	valid
1.0ms	23×	body	160	valid

simplify219.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	103	5
7	250	5
8	1252	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: 58.2b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.7b	(- (exp x) (exp (- x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

5.0ms

(- (exp x) (exp (- x)))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(- (exp x) (exp (- x)))

simplify583.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	100	120
1	257	108
2	763	107
3	4896	105
4	5001	105

prune46.0ms

Filtered

17 candidates to 14 candidates (82.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0b

Counts

18 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series84.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* 1/60 (pow x 5))
37.0ms	(* 1/3 (pow x 3))

simplify187.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	208	221
1	871	199
2	4632	199
3	5001	199

prune104.0ms

Filtered

62 candidates to 38 candidates (61.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	3	65

Merged error: 0b

Counts

65 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) (exp (- x))))
6.7b	(- (exp x) (exp (- x)))
6.7b	(- (exp x) (exp (- x)))
6.7b	(- (exp x) (exp (- x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

5.0ms	(cbrt (- (exp x) (exp (- x))))
5.0ms	(- (exp x) (exp (- x)))
5.0ms	(- (exp x) (exp (- x)))
5.0ms	(- (exp x) (exp (- x)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (- (exp x) (exp (- x))))
39.0ms	(- (exp x) (exp (- x)))
35.0ms	(- (exp x) (exp (- x)))
37.0ms	(- (exp x) (exp (- x)))

simplify72.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	171	546
1	478	481
2	1845	471
3	5001	471

prune185.0ms

Filtered

69 candidates to 57 candidates (82.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Merged error: 0b

Counts

72 → 3

regimes61.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

939.0ms	3428×	body	1280	valid
394.0ms	2451×	body	640	valid
186.0ms	8105×	body	80	valid
120.0ms	1232×	body	320	valid
36.0ms	601×	body	160	valid