Details

sample102.0ms

Algorithm

intervals

Results

40.0ms	237×	body	10240	exit
33.0ms	112×	body	1280	valid
13.0ms	75×	body	640	valid
4.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid
0.0ms	13×	body	80	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	9
1	24	9
2	32	9
3	44	9
4	59	9
5	174	9
6	1153	9
7	5001	9

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: 58.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.2b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.7b	(- (exp x) (exp (- x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `frac-2neg` `div-sub` `tanh-undef` `clear-num` `div-inv`

Counts

3 → 16

Calls

3 calls:

3.0ms	(+ (exp x) (exp (- x)))
6.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
2.0ms	(- (exp x) (exp (- x)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (exp x) (exp (- x)))
72.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
39.0ms	(- (exp x) (exp (- x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	158	200
1	465	190
2	1730	183
3	5001	183

prune64.0ms

Filtered

25 candidates to 21 candidates (84.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	3	26

Merged error: 0b

Counts

26 → 3

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`tanh-def`

Counts

1 → 3

Calls

1 calls:

1.0ms

(tanh x)

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(tanh x)

simplify106.0ms

Algorithm

egg-herbie

Counts

6 → 6

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	79	44
1	137	44
2	287	44
3	716	44
4	3186	44
5	5002	44

prune10.0ms

Filtered

6 candidates to 3 candidates (50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	6	3	9

Merged error: 0b

Counts

9 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

3×	`+-commutative` `associate-r`
2×	`associate-+r+` `flip3-+` `*-commutative` `flip-+` `sqr-pow`
1×	`unpow3`

Counts

4 → 13

Calls

4 calls:

3.0ms	(+ (exp x) (exp (- x)))
8.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
3.0ms	(* 1/60 (pow x 5))
3.0ms	(* 1/3 (pow x 3))

series172.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (exp x) (exp (- x)))
56.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
50.0ms	(* 1/60 (pow x 5))
40.0ms	(* 1/3 (pow x 3))

simplify132.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	169	137
1	596	133
2	2990	132
3	5002	132

prune62.0ms

Filtered

25 candidates to 15 candidates (60.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	25	3	28

Merged error: 0b

Counts

28 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* 2/15 (pow x 5)))
0.0b	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
0.1b	(* 2/15 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-r`
2×	`+-commutative` `associate--l+` `*-commutative` `sqr-pow`
1×	`sub-neg` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+`

Counts

4 → 14

Calls

4 calls:

3.0ms	(+ x (* 2/15 (pow x 5)))
5.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
3.0ms	(* 2/15 (pow x 5))
3.0ms	(* 1/3 (pow x 3))

series248.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ x (* 2/15 (pow x 5)))
55.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
46.0ms	(* 2/15 (pow x 5))
38.0ms	(* 1/3 (pow x 3))

simplify104.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	127	126
1	453	122
2	2354	119
3	5002	119

prune37.0ms

Filtered

26 candidates to 13 candidates (50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Merged error: 0b

Counts

29 → 3

regimes17.0ms

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	2	1

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	7671×	body	10240	exit
1.0s	3364×	body	1280	valid
428.0ms	2366×	body	640	valid
140.0ms	1196×	body	320	valid
44.0ms	637×	body	160	valid
16.0ms	437×	body	80	valid