Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	66×	body	1280	valid
7.0ms	64×	body	10240	exit
7.0ms	61×	body	640	valid
2.0ms	95×	body	80	valid
1.0ms	22×	body	320	valid
1.0ms	12×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4

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: 39.6b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1.0))
3.9b	(- (exp x) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`flip3--` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `clear-num` `div-inv`

Counts

2 → 9

Calls

2 calls:

4.0ms	(/ (exp x) (- (exp x) 1.0))
2.0ms	(- (exp x) 1.0)

series40.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify62.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	83	66
1	182	66
2	483	64
3	1606	63
4	5002	63

prune32.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-r/` `associate-l` `associate-/r/` `-commutative` `flip-+`
1×	`frac-2neg` `clear-num` `div-inv` `unpow2` `sqr-pow`

Counts

3 → 15

Calls

3 calls:

8.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
6.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms	(* x 1/6)

series116.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
63.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify116.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	161	123
1	590	121
2	2850	121
3	5001	121

prune42.0ms

Filtered

24 candidates to 14 candidates (58.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	24	3	27

Merged error: 0.0b

Counts

27 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
4.0ms	(+ (* 1/12 x) (/ 1 x))
2.0ms	(* 1/12 x)

series67.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
41.0ms	(+ (* 1/12 x) (/ 1 x))
13.0ms	(* 1/12 x)

simplify55.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	110	80
1	329	79
2	1598	78
3	5001	75

prune19.0ms

Filtered

18 candidates to 9 candidates (50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	18	3	21

Merged error: 0.0b

Counts

21 → 3

regimes39.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

373.0ms	2250×	body	1280	valid
268.0ms	2574×	body	10240	exit
180.0ms	1666×	body	640	valid
58.0ms	836×	body	320	valid
54.0ms	2822×	body	80	valid
18.0ms	426×	body	160	valid