Details

sample16.0ms

Algorithm

intervals

Results

3.0ms	47×	body	640	valid
3.0ms	141×	body	80	valid
3.0ms	48×	body	320	valid
1.0ms	20×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	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: 12.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`frac-sub`
8×	`div-inv`
7×	`frac-2neg` `clear-num`
6×	`associate-/r/`
3×	`flip3-+` `fma-neg` `prod-diff` `flip-+`
1×	`sub-neg` `flip3--` `flip--` `distribute-lft-out--`

Counts

2 → 25

Calls

2 calls:

3.0ms	(/ 1.0 (+ x 1.0))
6.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series89.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ 1.0 (+ x 1.0))
62.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	290	237
1	1115	202
2	5002	187

prune63.0ms

Filtered

31 candidates to 24 candidates (77.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	3	32

Merged error: 0.4b

Counts

32 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.7b	(- x (+ x 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 24

Calls

3 calls:

3.0ms	(* (+ x 1.0) x)
9.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.0ms	(- x (+ x 1.0))

series92.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (+ x 1.0) x)
37.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms	(- x (+ x 1.0))

simplify129.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	197	143
1	727	135
2	4192	122
3	5001	122

prune61.0ms

Filtered

33 candidates to 24 candidates (72.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	32	4	36

Merged error: 0.0b

Counts

36 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-/r/`
10×	`associate-/l/`
6×	`associate-/r` `associate-/l`
5×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3--` `flip3-+` `flip--` `flip-+`

Counts

2 → 26

Calls

2 calls:

4.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
6.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series67.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
42.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	223	143
1	1021	130
2	5001	126

prune67.0ms

Filtered

32 candidates to 26 candidates (81.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0.0b

Counts

36 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.4b	(/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-/r/`
10×	`associate-/l/`
5×	`clear-num`
4×	`associate-*l/`
3×	`frac-2neg` `associate-/r` `div-inv` `associate-/l`
2×	`flip3-+` `*-commutative` `flip-+` `remove-double-div`
1×	`flip3--` `flip--` `inv-pow`

Counts

2 → 23

Calls

2 calls:

3.0ms	(* (+ x 1.0) x)
8.0ms	(/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (+ x 1.0) x)
37.0ms	(/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))

simplify194.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	146	110
1	589	103
2	4150	95
3	5001	95

prune59.0ms

Filtered

29 candidates to 24 candidates (82.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	29	4	33

Merged error: 0.0b

Counts

33 → 4

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample421.0ms

Algorithm

intervals

Results

143.0ms	1924×	body	640	valid
91.0ms	4195×	body	80	valid
69.0ms	1206×	body	320	valid
25.0ms	676×	body	160	valid