Details

sample67.0ms

Algorithm

intervals

Results

33.0ms	113×	body	1280	valid
13.0ms	79×	body	640	valid
6.0ms	253×	body	80	valid
4.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid

simplify241.0ms

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	108	5
7	267	5
8	1340	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: 58.3b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (exp x) (exp (- x)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `flip3--` `flip--`

Counts

1 → 4

Calls

1 calls:

2.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify223.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	84	48
1	219	45
2	638	43
3	3219	41
4	5001	41

prune23.0ms

Filtered

7 candidates to 5 candidates (71.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	3	8

Merged error: 0.0b

Counts

8 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-udef`

Counts

2 → 2

Calls

2 calls:

1.0ms	(fma 1/60 (pow x 5) (* 2 x))
1.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(fma 1/60 (pow x 5) (* 2 x))
54.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

8 → 8

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	28
1	73	28
2	165	28
3	380	28
4	1470	28
5	5001	28

prune9.0ms

Filtered

8 candidates to 2 candidates (25.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	8	0	8
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	8	3	11

Merged error: 0.0b

Counts

11 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) -2)
0.0b	(pow (exp (- x)) 3)
0.0b	(pow (exp x) 3)
4.6b	(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`sqr-pow`
7×	`unpow3`
4×	`prod-diff`
3×	`pow-to-exp` `pow-exp`
2×	`fma-neg`
1×	`difference-cubes` `neg-mul-1` `sub-neg` `exp-prod` `flip3--` `pow-pow` `flip--` `difference-of-squares`

Counts

4 → 24

Calls

4 calls:

2.0ms	(pow (exp x) -2)
2.0ms	(pow (exp (- x)) 3)
2.0ms	(pow (exp x) 3)
6.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

series154.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(pow (exp x) -2)
25.0ms	(pow (exp (- x)) 3)
22.0ms	(pow (exp x) 3)
87.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify204.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (200.0ms)

Iter	Nodes	Cost
0	213	239
1	715	198
2	4083	191
3	5001	184

prune86.0ms

Filtered

36 candidates to 21 candidates (58.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	36	3	39

Merged error: 0.0b

Counts

39 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* 3 x))
0.0b	(pow (exp x) -2)
0.0b	(pow (exp (- x)) 3)
4.9b	(- (exp (* 3 x)) (pow (exp (- x)) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`exp-prod` `*-commutative`
2×	`difference-cubes` `pow-to-exp` `exp-lft-cube` `pow-exp` `sqr-pow`
1×	`neg-mul-1` `sub-neg` `flip3--` `pow-pow` `unpow3` `flip--`

Counts

4 → 17

Calls

4 calls:

3.0ms	(exp (* 3 x))
2.0ms	(pow (exp x) -2)
3.0ms	(pow (exp (- x)) 3)
4.0ms	(- (exp (* 3 x)) (pow (exp (- x)) 3))

series120.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(exp (* 3 x))
18.0ms	(pow (exp x) -2)
28.0ms	(pow (exp (- x)) 3)
68.0ms	(- (exp (* 3 x)) (pow (exp (- x)) 3))

simplify111.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	181	148
1	577	130
2	2865	126
3	5001	120

prune68.0ms

Filtered

29 candidates to 18 candidates (62.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	28	4	32

Merged error: 0.0b

Counts

32 → 4

regimes60.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

952.0ms	3446×	body	1280	valid
396.0ms	2424×	body	640	valid
185.0ms	8279×	body	80	valid
124.0ms	1218×	body	320	valid
39.0ms	643×	body	160	valid