Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	64×	body	640	valid
3.0ms	122×	body	80	valid
3.0ms	45×	body	320	valid
1.0ms	25×	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

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: 16.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.6b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
40×	`times-frac`
31×	`add-sqr-sqrt`
21×	`distribute-lft-out--`
19×	`add-cube-cbrt`
10×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `flip--` `flip-+`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub`

Counts

2 → 65

Calls

2 calls:

5.0ms	(/ 1.0 (+ x 1.0))
26.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series204.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1.0 (+ x 1.0))
179.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify169.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	298	473
1	1039	448
2	4624	445
3	5001	445

prune118.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	3	72

Merged error: 0.2b

Counts

72 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
3.4b	(- (- x 1.0) (+ x 1.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-log-exp`
8×	`frac-sub`
7×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
6×	`add-sqr-sqrt` `diff-log` `associate-*r/` `associate-/l/` `distribute-lft-out--`
4×	`add-cube-cbrt` `flip3-+` `times-frac` `associate-/r*` `flip-+`
3×	`difference-of-squares`
2×	`pow1` `cbrt-undiv` `sub-neg` `div-exp` `associate--l+` `sum-log` `associate-/r/` `distribute-lft-out`
1×	`associate--l-` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+`

Counts

2 → 59

Calls

2 calls:

17.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
10.0ms	(- (- x 1.0) (+ x 1.0))

series61.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	446	580
1	2623	513
2	5001	510

prune111.0ms

Filtered

65 candidates to 46 candidates (70.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	66	2	68

Merged error: 0.2b

Counts

68 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/r*`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `difference-of-squares`
1×	`pow1` `flip3--` `frac-2neg` `distribute-frac-neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

7.0ms

(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	242	257
1	1216	215
2	5001	211

prune47.0ms

Filtered

29 candidates to 23 candidates (79.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0.0b

Counts

31 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
65×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
11×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`div-inv` `distribute-lft-out`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`distribute-frac-neg`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 111

Calls

2 calls:

7.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
13.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series97.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
72.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	571	1119
1	3006	1036
2	5001	1036

prune179.0ms

Filtered

117 candidates to 83 candidates (70.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	114	6	120

Merged error: 0b

Counts

120 → 6

regimes21.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	19	6
2	22	6
3	22	6

end0.0ms

sample544.0ms

Algorithm

intervals

Results

193.0ms	1914×	body	640	valid
116.0ms	4188×	body	80	valid
104.0ms	1268×	body	320	valid
32.0ms	630×	body	160	valid