Details

sample261.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	16	4
2	20	4
3	26	4
4	31	4
5	33	4
6	33	4

prune4.0ms

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ f n)) (- f n))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
60×	`times-frac`
58×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`distribute-lft-out` `associate-/l*`
6×	`neg-mul-1`
5×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/` `distribute-neg-frac`
1×	`pow1` `cbrt-undiv` `neg-sub0` `flip3--` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 95

Calls

1 calls:

11.0ms

(/ (- (+ f n)) (- f n))

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

(/ (- (+ f n)) (- f n))

simplify68.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	288	764
1	915	748
2	2934	733
3	5002	733

prune156.0ms

Filtered

98 candidates to 60 candidates (61.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (/ (- f n) (+ f n)))
0.0b	(/ (- f n) (+ f n))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `div-sub` `flip--`

Counts

2 → 168

Calls

2 calls:

10.0ms	(/ -1 (/ (- f n) (+ f n)))
7.0ms	(/ (- f n) (+ f n))

series137.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ -1 (/ (- f n) (+ f n)))
69.0ms	(/ (- f n) (+ f n))

simplify74.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	523	1449
1	2545	1405
2	5001	1287

prune245.0ms

Filtered

174 candidates to 96 candidates (55.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	170	4	174
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	174	4	178

Merged error: 0b

Counts

178 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ f (+ f n))
0.0b	(/ n (+ f n))
0.0b	(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
0.0b	(- (/ f (+ f n)) (/ n (+ f n)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

190×	`*-un-lft-identity`
155×	`times-frac`
114×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
35×	`distribute-lft-out--`
28×	`associate-/r/` `distribute-lft-out`
25×	`associate-/r*`
20×	`difference-of-squares`
15×	`distribute-rgt-out--`
13×	`div-inv`
12×	`flip3-+` `flip-+`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`flip3--` `frac-sub` `flip--` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 181

Calls

4 calls:

5.0ms	(/ f (+ f n))
5.0ms	(/ n (+ f n))
26.0ms	(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
21.0ms	(- (/ f (+ f n)) (/ n (+ f n)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ f (+ f n))
39.0ms	(/ n (+ f n))
84.0ms	(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
76.0ms	(- (/ f (+ f n)) (/ n (+ f n)))

simplify61.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	450	1472
1	1920	1424
2	5001	1349

prune328.0ms

Filtered

193 candidates to 125 candidates (64.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	191	2	193
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	194	3	197

Merged error: 0b

Counts

197 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ n (+ f n))
0.0b	(/ n (+ f n))
0.1b	(* (/ n (+ f n)) (/ n (+ f n)))
0.1b	(* (/ f (+ f n)) (/ f (+ f n)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

194×	`*-un-lft-identity`
152×	`times-frac`
118×	`add-sqr-sqrt`
94×	`add-cube-cbrt`
48×	`swap-sqr`
44×	`distribute-lft-out`
36×	`associate-r` `associate-l`
32×	`add-exp-log` `add-cbrt-cube`
20×	`associate-/r/`
18×	`pow1`
10×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
8×	`prod-exp` `associate-/r*` `cbrt-unprod` `unswap-sqr`
6×	`associate-/l*`
4×	`add-log-exp`
2×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 242

Calls

4 calls:

5.0ms	(/ n (+ f n))
5.0ms	(/ n (+ f n))
16.0ms	(* (/ n (+ f n)) (/ n (+ f n)))
17.0ms	(* (/ f (+ f n)) (/ f (+ f n)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ n (+ f n))
39.0ms	(/ n (+ f n))
65.0ms	(* (/ n (+ f n)) (/ n (+ f n)))
65.0ms	(* (/ f (+ f n)) (/ f (+ f n)))

simplify95.0ms

Algorithm

egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	734	1766
1	3756	1558
2	5001	1510

prune505.0ms

Filtered

254 candidates to 154 candidates (60.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	254	3	257

Merged error: 0b

Counts

257 → 3

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	18
1	14	18

end0.0ms

sample290.0ms

Algorithm

intervals

Results

165.0ms

8000×

body

valid