Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	62×	body	640	valid
3.0ms	138×	body	80	valid
2.0ms	36×	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	12	5
1	15	5
2	15	5

prune1.0ms

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: 13.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
2.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 37

Calls

3 calls:

5.0ms	(/ 1.0 (+ x 1.0))
3.0ms	(/ 1.0 (- x 1.0))
7.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series233.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1.0 (+ x 1.0))
28.0ms	(/ 1.0 (- x 1.0))
181.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	392	513
1	1483	423
2	5001	388

prune100.0ms

Filtered

46 candidates to 35 candidates (76.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Merged error: 0.3b

Counts

47 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) (/ (- x 1.0) 1.0))
0.0b	(/ (- (- x 1.0) (+ x 1.0)) (* (+ x 1.0) (/ (- x 1.0) 1.0)))
1.5b	(- (- x 1.0) (+ x 1.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-times`
18×	`associate-/r/` `associate-/l/`
16×	`flip3-+` `flip-+`
12×	`flip3--` `flip--`
10×	`associate-*r/`
9×	`clear-num`
8×	`frac-sub`
7×	`frac-2neg`
4×	`div-sub` `associate-*l/` `associate--r+`
3×	`associate-/r*` `div-inv`
2×	`+-commutative` `associate--l-` `sub-neg` `associate-r` `associate--l+` `un-div-inv` `*-commutative`

Counts

3 → 67

Calls

3 calls:

5.0ms	(* (+ x 1.0) (/ (- x 1.0) 1.0))
11.0ms	(/ (- (- x 1.0) (+ x 1.0)) (* (+ x 1.0) (/ (- x 1.0) 1.0)))
4.0ms	(- (- x 1.0) (+ x 1.0))

series191.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(* (+ x 1.0) (/ (- x 1.0) 1.0))
85.0ms	(/ (- (- x 1.0) (+ x 1.0)) (* (+ x 1.0) (/ (- x 1.0) 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify105.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	502	613
1	3084	591
2	5002	587

prune176.0ms

Filtered

76 candidates to 66 candidates (86.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	76	3	79

Merged error: 0.3b

Counts

79 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (/ (- x 1.0) 1.0))
0.3b	(/ (- 2.0) (* (+ x 1.0) (/ (- x 1.0) 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-times`
18×	`associate-/r/`
12×	`flip3-+` `flip-+` `associate-/l/`
10×	`associate-*r/`
9×	`clear-num`
7×	`frac-2neg`
6×	`flip3--` `flip--`
4×	`neg-mul-1` `associate-*l/` `div-inv`
3×	`times-frac` `associate-r` `associate-/r` `-commutative`
2×	`un-div-inv`
1×	`neg-sub0` `div-sub` `distribute-frac-neg` `associate-/l*`

Counts

2 → 50

Calls

2 calls:

5.0ms	(* (+ x 1.0) (/ (- x 1.0) 1.0))
7.0ms	(/ (- 2.0) (* (+ x 1.0) (/ (- x 1.0) 1.0)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* (+ x 1.0) (/ (- x 1.0) 1.0))
69.0ms	(/ (- 2.0) (* (+ x 1.0) (/ (- x 1.0) 1.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	309	361
1	1536	352
2	5002	346

prune136.0ms

Filtered

56 candidates to 50 candidates (89.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Merged error: 0b

Counts

59 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 2.0) (/ (- x 1.0) 1.0))
0.1b	(/ (/ (- 2.0) (/ (- x 1.0) 1.0)) (+ x 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-/r/`
9×	`associate-/l/` `associate-/l*`
7×	`div-inv`
5×	`frac-2neg` `clear-num`
4×	`neg-mul-1`
3×	`div-sub` `distribute-frac-neg`
2×	`neg-sub0` `flip3--` `times-frac` `associate-/r*` `flip--`
1×	`flip3-+` `flip-+`

Counts

2 → 32

Calls

2 calls:

4.0ms	(/ (- 2.0) (/ (- x 1.0) 1.0))
7.0ms	(/ (/ (- 2.0) (/ (- x 1.0) 1.0)) (+ x 1.0))

series104.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (- 2.0) (/ (- x 1.0) 1.0))
70.0ms	(/ (/ (- 2.0) (/ (- x 1.0) 1.0)) (+ x 1.0))

simplify29.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	237	192
1	952	175
2	5001	169

prune69.0ms

Filtered

38 candidates to 32 candidates (84.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Merged error: 0b

Counts

41 → 3

regimes16.0ms

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	12	6
1	14	6
2	14	6

end0.0ms

sample459.0ms

Algorithm

intervals

Results

171.0ms	1957×	body	640	valid
98.0ms	4203×	body	80	valid
78.0ms	1235×	body	320	valid
26.0ms	605×	body	160	valid