Details

sample63.0ms

Algorithm

intervals

Results

31.0ms	131×	body	5120	exit
7.0ms	195×	body	80	valid
4.0ms	118×	body	80	overflowed
4.0ms	19×	body	640	valid
3.0ms	26×	body	320	valid
1.0ms	19×	body	160	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5001	8

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 14.3b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
5.9b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
118×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
21×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
9×	`add-log-exp`
7×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate-/l/`

Counts

4 → 176

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
5.0ms	(/ wj (+ wj 1))
10.0ms	(/ (/ x (+ wj 1)) (exp wj))
30.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ x (+ wj 1))
21.0ms	(/ wj (+ wj 1))
42.0ms	(/ (/ x (+ wj 1)) (exp wj))
53.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify82.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	718	1538
1	3300	1483
2	5002	1481

prune359.0ms

Filtered

188 candidates to 138 candidates (73.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	187	3	190

Merged error: 0.2b

Counts

190 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* 2 (* wj x))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* 2 (* wj x))

simplify77.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	71
1	318	56
2	1235	56
3	3444	56
4	5001	56

prune24.0ms

Filtered

21 candidates to 11 candidates (52.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Merged error: 0.2b

Counts

24 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
4.8b	(- wj (/ wj (+ wj 1)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
115×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
20×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
7×	`div-inv`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 171

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
8.0ms	(/ wj (+ wj 1))
9.0ms	(/ (/ x (+ wj 1)) (exp wj))
9.0ms	(- wj (/ wj (+ wj 1)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ x (+ wj 1))
25.0ms	(/ wj (+ wj 1))
38.0ms	(/ (/ x (+ wj 1)) (exp wj))
25.0ms	(- wj (/ wj (+ wj 1)))

simplify70.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	634	1321
1	2844	1269
2	5001	1267

prune322.0ms

Filtered

183 candidates to 135 candidates (73.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	183	3	186

Merged error: 0.0b

Counts

186 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow wj 4) (pow wj 2))
0.0b	(/ x (+ wj 1))
0.0b	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
0.0b	(/ (/ x (+ wj 1)) (exp wj))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
103×	`*-un-lft-identity`
71×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
21×	`associate-/l*`
18×	`distribute-lft-out`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-/r/`
9×	`add-exp-log`
7×	`associate-/r*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp` `difference-of-squares`
2×	`frac-2neg` `diff-log` `clear-num` `sum-log` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `unpow-prod-down` `flip3--` `cube-prod` `associate--l+` `flip--` `associate-/l/` `sqr-pow`

Counts

4 → 155

Calls

4 calls:

7.0ms	(+ (pow wj 4) (pow wj 2))
5.0ms	(/ x (+ wj 1))
12.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
13.0ms	(/ (/ x (+ wj 1)) (exp wj))

series163.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (pow wj 4) (pow wj 2))
23.0ms	(/ x (+ wj 1))
31.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
39.0ms	(/ (/ x (+ wj 1)) (exp wj))

simplify71.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	637	1315
1	2874	1259
2	5001	1257

prune427.0ms

Filtered

167 candidates to 119 candidates (71.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	167	3	170

Merged error: 0b

Counts

170 → 3

regimes39.0ms

Accuracy

62.6% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.1b

bsearch36.0ms

Steps

Iters	Range		Point
9	6.477031086687721e-14	5.08584384811324e-07	7.776393461838007e-09

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

846.0ms	3902×	body	5120	exit
231.0ms	6332×	body	80	valid
136.0ms	3865×	body	80	overflowed
88.0ms	756×	body	320	valid
84.0ms	474×	body	640	valid
38.0ms	507×	body	160	valid