Details

sample62.0ms

Algorithm

intervals

Results

29.0ms	105×	body	1280	valid
12.0ms	80×	body	640	valid
6.0ms	248×	body	80	valid
3.0ms	35×	body	320	valid
2.0ms	27×	body	160	valid

simplify214.0ms

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	1250	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: 57.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.2b	(- (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)))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify275.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	97	120
1	240	108
2	668	107
3	3540	105
4	5001	105

prune42.0ms

Filtered

17 candidates to 14 candidates (82.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `associate-l`
18×	`distribute-lft-out`
15×	`associate-r`
13×	`add-exp-log`
9×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-log-exp`
7×	`pow1` `add-cbrt-cube`
6×	`prod-exp` `unswap-sqr`
4×	`sqr-pow`
3×	`sum-log`
2×	`+-commutative` `pow-to-exp` `associate-+r+` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`flip3-+` `unpow3` `flip-+`

Counts

3 → 77

Calls

3 calls:

30.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
6.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series154.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
54.0ms	(* 1/60 (pow x 5))
41.0ms	(* 1/3 (pow x 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	290	436
1	1207	413
2	5001	413

prune151.0ms

Filtered

86 candidates to 49 candidates (57.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Merged error: 0.0b

Counts

88 → 2

localize11.0ms

Local error

Found 1 expressions with local error:

7.2b	(- (exp x) (exp (* -1 x)))

rewrite10.0ms

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:

10.0ms

(- (exp x) (exp (* -1 x)))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(- (exp x) (exp (* -1 x)))

simplify65.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	91	120
1	196	111
2	505	110
3	1812	110
4	5001	110

prune23.0ms

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

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (* -1 x)))
0.3b	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
7.1b	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
20×	`times-frac`
19×	`distribute-lft-out`
14×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-log-exp`
6×	`distribute-rgt-neg-in`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`pow1` `div-sub` `sum-log`
2×	`+-commutative` `neg-sub0` `associate-+r-` `unsub-neg` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `neg-log` `clear-num` `div-inv`

Counts

3 → 77

Calls

3 calls:

5.0ms	(+ (exp x) (exp (* -1 x)))
28.0ms	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
22.0ms	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

series157.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (exp x) (exp (* -1 x)))
85.0ms	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
50.0ms	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

simplify47.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	322	1225
1	1238	1044
2	5003	1008

prune152.0ms

Filtered

86 candidates to 54 candidates (62.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

regimes22.0ms

Accuracy

0% (0.5b 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	20	8
1	20	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

911.0ms	3309×	body	1280	valid
412.0ms	2516×	body	640	valid
184.0ms	7991×	body	80	valid
122.0ms	1251×	body	320	valid
44.0ms	666×	body	160	valid