Details

sample64.0ms

Algorithm

intervals

Results

31.0ms	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

simplify218.0ms

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: 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)))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify224.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	79	49
1	198	46
2	561	45
3	2958	43
4	5002	43

prune21.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 10

Calls

3 calls:

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))

series144.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
46.0ms	(* 1/60 (pow x 5))
39.0ms	(* 1/3 (pow x 3))

simplify87.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	100	96
1	357	95
2	1890	95
3	5001	95

prune38.0ms

Filtered

19 candidates to 10 candidates (52.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	19	3	22

Merged error: 0.0b

Counts

22 → 3

localize16.0ms

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

5×	`sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`unpow3`
1×	`difference-cubes` `neg-mul-1` `sub-neg` `exp-prod` `flip3--` `pow-pow` `flip--` `difference-of-squares`

Counts

4 → 18

Calls

4 calls:

2.0ms	(pow (exp x) -2)
2.0ms	(pow (exp (- x)) 3)
2.0ms	(pow (exp x) 3)
5.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

series164.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (exp x) -2)
26.0ms	(pow (exp (- x)) 3)
28.0ms	(pow (exp x) 3)
91.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify157.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (153.0ms)

Iter	Nodes	Cost
0	179	147
1	575	137
2	2914	134
3	5001	132

prune87.0ms

Filtered

30 candidates to 20 candidates (66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	30	3	33

Merged error: 0.0b

Counts

33 → 3

localize18.0ms

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:

2.0ms	(exp (* 3 x))
2.0ms	(pow (exp x) -2)
2.0ms	(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)
26.0ms	(pow (exp (- x)) 3)
70.0ms	(- (exp (* 3 x)) (pow (exp (- x)) 3))

simplify106.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	170	148
1	523	132
2	2561	128
3	5003	126

prune73.0ms

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

regimes68.0ms

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	20	8
1	20	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

952.0ms	3446×	body	1280	valid
403.0ms	2424×	body	640	valid
192.0ms	8279×	body	80	valid
122.0ms	1218×	body	320	valid
40.0ms	643×	body	160	valid