Details

sample68.0ms

Algorithm

intervals

Results

45.0ms	235×	body	10240	exit
6.0ms	207×	body	80	valid
3.0ms	20×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	14×	body	160	valid

simplify45.0ms

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	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: 12.3b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
4.5b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite62.0ms

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	(/ wj (+ wj 1))
5.0ms	(/ x (+ wj 1))
10.0ms	(/ (/ x (+ wj 1)) (exp wj))
35.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ wj (+ wj 1))
22.0ms	(/ x (+ wj 1))
41.0ms	(/ (/ x (+ wj 1)) (exp wj))
59.0ms	(- (+ (/ (/ 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	721	1524
1	3303	1471
2	5001	1469

prune383.0ms

Filtered

188 candidates to 138 candidates (73.4%)

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: 0.2b

Counts

190 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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	(+ x (pow wj 2))
5.0ms	(* 2 (* wj x))

series48.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (pow wj 2))
19.0ms	(* 2 (* wj x))

simplify70.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	149	122
1	550	108
2	2362	107
3	5001	107

prune56.0ms

Filtered

36 candidates to 21 candidates (58.3%)

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: 0.2b

Counts

42 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
5.6b	(- wj (/ wj (+ wj 1)))

rewrite36.0ms

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	(/ wj (+ wj 1))
5.0ms	(/ x (+ wj 1))
10.0ms	(/ (/ x (+ wj 1)) (exp wj))
9.0ms	(- wj (/ wj (+ wj 1)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ wj (+ wj 1))
22.0ms	(/ x (+ wj 1))
45.0ms	(/ (/ x (+ wj 1)) (exp wj))
26.0ms	(- wj (/ wj (+ wj 1)))

simplify73.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (53.0ms)

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

prune341.0ms

Filtered

183 candidates to 135 candidates (73.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	184	6	190

Merged error: 0.1b

Counts

190 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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:

13.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
7.0ms	(+ (pow wj 4) (pow wj 2))
5.0ms	(/ x (+ wj 1))
10.0ms	(/ (/ x (+ wj 1)) (exp wj))

series167.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
74.0ms	(+ (pow wj 4) (pow wj 2))
23.0ms	(/ x (+ wj 1))
44.0ms	(/ (/ x (+ wj 1)) (exp wj))

simplify77.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	637	1315
1	2872	1259
2	5001	1257

prune436.0ms

Filtered

167 candidates to 119 candidates (71.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	166	7	173

Merged error: 0.1b

Counts

173 → 7

regimes69.0ms

Accuracy

76.6% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 1.2b

bsearch41.0ms

Steps

Iters	Range		Point
9	1.8364001780596707e-08	0.001857967628030483	0.00013145565373278193

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	20
1	30	20

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s	7613×	body	10240	exit
192.0ms	6250×	body	80	valid
74.0ms	784×	body	320	valid
74.0ms	469×	body	640	valid
39.0ms	574×	body	160	valid