Details

sample258.0ms

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 (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: 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:

13.0ms

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

series95.0ms

Counts

1 → 3

Calls

1 calls:

94.0ms

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

simplify69.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	286	764
1	913	748
2	2933	733
3	5002	733

prune113.0ms

Filtered

98 candidates to 60 candidates (38.8%)

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: 0.0b

Counts

99 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

498×	`times-frac`
451×	`*-un-lft-identity`
340×	`add-sqr-sqrt`
216×	`add-cube-cbrt`
108×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
90×	`associate-/r*`
63×	`distribute-lft-out--`
62×	`difference-of-squares`
54×	`distribute-lft-out`
32×	`associate-/r/`
27×	`neg-mul-1`
15×	`add-exp-log` `associate-/l*`
10×	`distribute-neg-frac`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `clear-num` `associate-/l/`
3×	`pow1` `frac-2neg` `remove-double-div`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

2 → 406

Calls

2 calls:

10.0ms	(/ (- f n) (- (+ f n)))
23.0ms	(/ 1 (/ (- f n) (- (+ f n))))

series143.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (- f n) (- (+ f n)))
73.0ms	(/ 1 (/ (- f n) (- (+ f n))))

simplify115.0ms

Algorithm

egg-herbie

Counts

412 → 412

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	941	4021
1	4436	3631
2	5001	3279

prune303.0ms

Filtered

412 candidates to 167 candidates (59.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	410	2	412
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	412	5	417

Merged error: 0b

Counts

417 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ f n)) (cbrt (+ f n)))
0.5b	(cbrt (+ f n))
0.5b	(cbrt (+ f n))
0.5b	(cbrt (+ f n))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 98

Calls

4 calls:

10.0ms	(* (cbrt (+ f n)) (cbrt (+ f n)))
3.0ms	(cbrt (+ f n))
3.0ms	(cbrt (+ f n))
3.0ms	(cbrt (+ f n))

series569.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (cbrt (+ f n)) (cbrt (+ f n)))
135.0ms	(cbrt (+ f n))
133.0ms	(cbrt (+ f n))
131.0ms	(cbrt (+ f n))

simplify154.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (145.0ms)

Iter	Nodes	Cost
0	260	708
1	948	660
2	4776	592
3	5001	588

prune218.0ms

Filtered

110 candidates to 75 candidates (31.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	110	5	115

Merged error: 0b

Counts

115 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (- f n))
0.2b	(* (/ -1 (- f n)) (+ f n))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
31×	`times-frac`
28×	`add-cube-cbrt`
22×	`frac-times`
21×	`associate-l`
20×	`associate-/r*`
12×	`flip3-+` `flip-+` `associate-/l*`
11×	`associate-*l/`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `frac-2neg` `associate-r` `clear-num` `associate-/r/`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

2 → 116

Calls

2 calls:

5.0ms	(/ -1 (- f n))
14.0ms	(* (/ -1 (- f n)) (+ f n))

series108.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ -1 (- f n))
72.0ms	(* (/ -1 (- f n)) (+ f n))

simplify83.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	646	735
1	3415	702
2	5001	662

prune132.0ms

Filtered

122 candidates to 79 candidates (35.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	122	5	127

Merged error: 0b

Counts

127 → 5

regimes57.0ms

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	4
1	13	4
2	13	4

end0.0ms

sample289.0ms

Algorithm

intervals

Results

161.0ms

8000×

body

valid