Details

sample255.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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))

rewrite18.0ms

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:

12.0ms

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

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

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

simplify69.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (22.0ms)

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

prune132.0ms

Filtered

98 candidates to 60 candidates (61.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Merged error: 0b

Counts

99 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

14.0ms	(/ -1 (/ (- f n) (+ f n)))
8.0ms	(/ (- f n) (+ f n))

series129.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ -1 (/ (- f n) (+ f n)))
62.0ms	(/ (- f n) (+ f n))

simplify78.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (59.0ms)

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

prune196.0ms

Filtered

174 candidates to 97 candidates (55.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	3	0	3
Picked	1	0	1
Done	1	0	1
Total	177	2	179

Merged error: 0b

Counts

179 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

979×	`times-frac`
703×	`*-un-lft-identity`
531×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
114×	`associate-/r*`
86×	`distribute-lft-out`
69×	`distribute-lft-out--` `difference-of-squares`
40×	`associate-/r/`
35×	`add-exp-log`
23×	`div-inv`
22×	`div-exp`
19×	`add-cbrt-cube`
17×	`flip3--` `flip--`
10×	`cbrt-undiv` `associate-/l*`
4×	`pow1` `rec-exp` `1-exp`
3×	`frac-2neg` `clear-num` `add-log-exp`
2×	`associate-/l/`
1×	`pow-flip` `flip3-+` `flip-+` `inv-pow`

Counts

3 → 529

Calls

3 calls:

12.0ms	(/ 1 (/ (+ f n) (- f n)))
23.0ms	(/ -1 (/ 1 (/ (+ f n) (- f n))))
8.0ms	(/ (+ f n) (- f n))

series192.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ 1 (/ (+ f n) (- f n)))
65.0ms	(/ -1 (/ 1 (/ (+ f n) (- f n))))
66.0ms	(/ (+ f n) (- f n))

simplify96.0ms

Algorithm

egg-herbie

Counts

538 → 538

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1403	5968
1	5001	5334

prune619.0ms

Filtered

538 candidates to 269 candidates (50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	538	0	538
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	538	2	540

Merged error: 0b

Counts

540 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ -1 (/ (- f n) (+ f n)))
0.0b	(pow (/ -1 (/ (- f n) (+ f n))) 3)
0.0b	(cbrt (pow (/ -1 (/ (- f n) (+ f n))) 3))
0.0b	(/ (- f n) (+ f n))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

730×	`times-frac`
622×	`*-un-lft-identity`
450×	`add-sqr-sqrt`
312×	`add-cube-cbrt`
172×	`cbrt-prod`
166×	`unpow-prod-down` `cube-prod`
86×	`distribute-lft-out`
69×	`distribute-lft-out--` `difference-of-squares`
39×	`associate-/r/`
30×	`associate-/r*`
22×	`div-inv`
17×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `pow-exp` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `frac-2neg` `unpow3` `clear-num` `associate-/l/` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `pow1/3` `div-sub` `flip--` `rem-cbrt-cube`

Counts

4 → 538

Calls

4 calls:

12.0ms	(/ -1 (/ (- f n) (+ f n)))
24.0ms	(pow (/ -1 (/ (- f n) (+ f n))) 3)
25.0ms	(cbrt (pow (/ -1 (/ (- f n) (+ f n))) 3))
8.0ms	(/ (- f n) (+ f n))

series315.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ -1 (/ (- f n) (+ f n)))
75.0ms	(pow (/ -1 (/ (- f n) (+ f n))) 3)
108.0ms	(cbrt (pow (/ -1 (/ (- f n) (+ f n))) 3))
67.0ms	(/ (- f n) (+ f n))

simplify97.0ms

Algorithm

egg-herbie

Counts

550 → 550

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1464	5323
1	5002	5133

prune501.0ms

Filtered

550 candidates to 196 candidates (35.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	550	0	550
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	550	2	552

Merged error: 0b

Counts

552 → 2

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample286.0ms

Algorithm

intervals

Results

162.0ms

8000×

body

valid