Details

sample69.0ms

Algorithm

intervals

Results

45.0ms	234×	body	10240	exit
6.0ms	206×	body	80	valid
3.0ms	31×	body	320	valid
2.0ms	14×	body	640	valid
1.0ms	9×	body	160	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5001	8

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 12.6b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.3b	(/ (/ x (+ wj 1)) (exp wj))
3.8b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-2neg` `flip3-+` `clear-num` `associate-/r/` `frac-sub` `flip-+`
4×	`div-inv`
3×	`associate-/l/` `associate-/l*`
2×	`associate--l+`
1×	`+-commutative` `sub-neg` `flip3--` `flip--`

Counts

4 → 31

Calls

4 calls:

3.0ms	(/ wj (+ wj 1))
3.0ms	(/ x (+ wj 1))
4.0ms	(/ (/ x (+ wj 1)) (exp wj))
8.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ wj (+ wj 1))
25.0ms	(/ x (+ wj 1))
40.0ms	(/ (/ x (+ wj 1)) (exp wj))
58.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify43.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	332	445
1	1487	436
2	5001	416

prune120.0ms

Filtered

43 candidates to 36 candidates (83.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	39	6	45

Merged error: 0.3b

Counts

45 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (pow wj 2))
0.0b	(* 2 (* wj x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-r` `*-commutative`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

2 → 6

Calls

2 calls:

2.0ms	(+ x (pow wj 2))
3.0ms	(* 2 (* wj x))

series51.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (pow wj 2))
22.0ms	(* 2 (* wj x))

simplify69.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	53	30
1	136	30
2	416	29
3	1513	29
4	5001	29

prune28.0ms

Filtered

12 candidates to 6 candidates (50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	11	7	18

Merged error: 0.3b

Counts

18 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.3b	(/ (/ x (+ wj 1)) (exp wj))
5.1b	(- wj (/ wj (+ wj 1)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-/r/`
4×	`frac-2neg` `clear-num` `div-inv`
3×	`flip3-+` `flip-+` `associate-/l/` `associate-/l*`
1×	`sub-neg` `flip3--` `flip--`

Counts

4 → 23

Calls

4 calls:

3.0ms	(/ wj (+ wj 1))
3.0ms	(/ x (+ wj 1))
4.0ms	(/ (/ x (+ wj 1)) (exp wj))
2.0ms	(- wj (/ wj (+ wj 1)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ wj (+ wj 1))
26.0ms	(/ x (+ wj 1))
40.0ms	(/ (/ x (+ wj 1)) (exp wj))
25.0ms	(- wj (/ wj (+ wj 1)))

simplify119.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	207	167
1	772	164
2	3028	164
3	5002	164

prune94.0ms

Filtered

35 candidates to 28 candidates (80.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	4	1	5
Picked	1	0	1
Done	1	0	1
Total	37	5	42

Merged error: 0.0b

Counts

42 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
0.0b	(+ (pow wj 4) (pow wj 2))
0.0b	(/ x (+ wj 1))
0.3b	(/ (/ x (+ wj 1)) (exp wj))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 23

Calls

4 calls:

4.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
3.0ms	(+ (pow wj 4) (pow wj 2))
3.0ms	(/ x (+ wj 1))
4.0ms	(/ (/ x (+ wj 1)) (exp wj))

series160.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
69.0ms	(+ (pow wj 4) (pow wj 2))
22.0ms	(/ x (+ wj 1))
42.0ms	(/ (/ x (+ wj 1)) (exp wj))

simplify163.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	227	190
1	881	184
2	3663	178
3	5001	178

prune95.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

regimes41.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	10
1	22	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s	7330×	body	10240	exit
190.0ms	6278×	body	80	valid
77.0ms	824×	body	320	valid
66.0ms	450×	body	640	valid
35.0ms	529×	body	160	valid