Details

sample41.0ms

Algorithm

intervals

Results

15.0ms	87×	body	1280	valid
9.0ms	83×	body	10240	exit
5.0ms	49×	body	640	valid
2.0ms	87×	body	80	valid
2.0ms	23×	body	320	valid
0.0ms	10×	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: 42.5b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
2.5b	(- (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)

series41.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify64.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (18.0ms)

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

prune36.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 22

Calls

4 calls:

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

series148.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
41.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
63.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
17.0ms	(* x 1/6)

simplify149.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	190	189
1	703	184
2	3378	181
3	5001	181

prune71.0ms

Filtered

34 candidates to 21 candidates (61.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

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

series147.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
38.0ms	(/ 1 (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)))
65.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify173.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	199	209
1	777	204
2	4035	198
3	5002	198

prune81.0ms

Filtered

40 candidates to 25 candidates (62.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

localize8.0ms

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)

series71.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
40.0ms	(+ (* 1/12 x) (/ 1 x))
13.0ms	(* 1/12 x)

simplify59.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	110	77
1	329	76
2	1598	75
3	5001	73

prune20.0ms

Filtered

18 candidates to 9 candidates (50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	18	4	22

Merged error: 0.0b

Counts

22 → 4

regimes44.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

403.0ms	2308×	body	1280	valid
306.0ms	2640×	body	10240	exit
179.0ms	1612×	body	640	valid
57.0ms	2871×	body	80	valid
56.0ms	783×	body	320	valid
19.0ms	427×	body	160	valid