Details

analyze323.0ms

Algorithm: search

sample53.0ms

Algorithm

intervals

Results

28.0ms	131×	body	5120	exit
7.0ms	197×	body	80	valid
3.0ms	18×	body	640	valid
2.0ms	19×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	6×	body	80	invalid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5002	8

prune10.0ms

Filtered

1 candidates to 1 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: 13.1b

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))
5.6b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite56.0ms

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))
9.0ms	(/ (/ x (+ wj 1)) (exp wj))
30.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
2.0ms	(/ wj (+ wj 1))
15.0ms	(/ (/ x (+ wj 1)) (exp wj))
14.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify78.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5002	1469

prune254.0ms

Filtered

138 candidates to 188 candidates (-36.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	182	6	188
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	184	6	190

Merged error: 0.1b

Counts

190 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* wj x))
0.0b	(+ x (pow wj 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

4.0ms	(* 2 (* wj x))
4.0ms	(+ x (pow wj 2))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* 2 (* wj x))
6.0ms	(+ x (pow wj 2))

simplify66.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	149	122
1	551	108
2	2352	107
3	5001	107

prune56.0ms

Filtered

21 candidates to 36 candidates (-71.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Merged error: 0.1b

Counts

42 → 7

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))
5.5b	(- wj (/ wj (+ wj 1)))

rewrite35.0ms

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))
5.0ms	(/ wj (+ wj 1))
10.0ms	(/ (/ x (+ wj 1)) (exp wj))
8.0ms	(- wj (/ wj (+ wj 1)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
2.0ms	(/ wj (+ wj 1))
11.0ms	(/ (/ x (+ wj 1)) (exp wj))
3.0ms	(- wj (/ wj (+ wj 1)))

simplify68.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (53.0ms)

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

prune225.0ms

Filtered

135 candidates to 183 candidates (-35.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	180	3	183
Fresh	3	2	5
Picked	1	0	1
Done	1	0	1
Total	185	5	190

Merged error: 0.0b

Counts

190 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
95×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
20×	`add-log-exp`
18×	`distribute-lft-out` `associate-/l*`
9×	`add-cbrt-cube`
8×	`associate-/r/`
7×	`add-exp-log`
6×	`flip3-+` `sum-log` `flip-+`
5×	`div-inv`
4×	`pow1` `diff-log` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `associate-+r+` `div-exp` `associate-/r*`
2×	`+-commutative` `sub-neg` `flip3--` `frac-add` `associate--l+` `flip--`
1×	`associate-+r-` `unpow-prod-down` `frac-2neg` `cube-prod` `clear-num` `associate-/l/` `sqr-pow`

Counts

4 → 144

Calls

4 calls:

43.0ms	(+ (/ (/ x (+ wj 1)) (exp wj)) (- (+ (pow wj 4) (pow wj 2)) (pow wj 3)))
6.0ms	(+ (pow wj 4) (pow wj 2))
11.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
9.0ms	(/ (/ x (+ wj 1)) (exp wj))

series44.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (/ (/ x (+ wj 1)) (exp wj)) (- (+ (pow wj 4) (pow wj 2)) (pow wj 3)))
7.0ms	(+ (pow wj 4) (pow wj 2))
4.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))

simplify83.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	732	1485
1	3380	1439
2	5002	1437

prune273.0ms

Filtered

110 candidates to 156 candidates (-41.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	156	5	161

Merged error: 0.0b

Counts

161 → 5

regimes98.0ms

Accuracy

74.7% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.0b

bsearch29.0ms

Steps

Iters	Range		Point
9	8.667674568215083e-08	0.00882320433036674	8.767711148869109e-05

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	21
1	35	21

end0.0ms

analyze317.0ms

Algorithm: search

sample1.5s

Algorithm

intervals

Results

850.0ms	3770×	body	5120	exit
229.0ms	6189×	body	80	valid
87.0ms	782×	body	320	valid
84.0ms	479×	body	640	valid
40.0ms	550×	body	160	valid
4.0ms	94×	body	80	invalid
0.0ms	14×	body	80	overflowed

Details

analyze323.0ms

sample53.0ms

simplify46.0ms

prune10.0ms

localize9.0ms

rewrite56.0ms

series37.0ms

simplify78.0ms

prune254.0ms

localize7.0ms

rewrite9.0ms

series9.0ms

simplify66.0ms

prune56.0ms

localize9.0ms

rewrite35.0ms

series22.0ms

simplify68.0ms

prune225.0ms

localize14.0ms

rewrite75.0ms

series44.0ms

simplify83.0ms

prune273.0ms

regimes98.0ms

bsearch29.0ms

simplify1.0ms

end0.0ms

analyze317.0ms

sample1.5s

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