Details

sample281.0ms

Algorithm

intervals

Results

8.0ms

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

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))

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (21.0ms)

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

prune131.0ms

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: 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))

rewrite30.0ms

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

series128.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify75.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (56.0ms)

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

prune196.0ms

Filtered

174 candidates to 97 candidates (55.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Merged error: 0b

Counts

178 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

889×	`*-un-lft-identity`
586×	`times-frac`
471×	`add-sqr-sqrt`
436×	`cbrt-prod`
241×	`add-cube-cbrt`
224×	`distribute-rgt-neg-in`
196×	`distribute-lft-neg-in`
149×	`swap-sqr`
143×	`distribute-lft-out--`
126×	`distribute-lft-out`
103×	`difference-of-squares`
69×	`associate-r` `associate-l`
42×	`neg-mul-1`
36×	`associate-/l*`
15×	`associate-/r*`
14×	`associate-/r/`
12×	`add-exp-log`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`flip3--` `flip--` `div-inv`
6×	`pow1/3` `associate-/l/` `distribute-neg-frac`
4×	`cbrt-div` `add-log-exp`
3×	`cbrt-undiv` `neg-sub0` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip-+`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 602

Calls

4 calls:

85.0ms	(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
9.0ms	(/ (- (+ f n)) (- f n))
9.0ms	(/ (- (+ f n)) (- f n))
9.0ms	(/ (- (+ f n)) (- f n))

series366.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
63.0ms	(/ (- (+ f n)) (- f n))
64.0ms	(/ (- (+ f n)) (- f n))
70.0ms	(/ (- (+ f n)) (- f n))

simplify127.0ms

Algorithm

egg-herbie

Counts

614 → 614

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	641	7670
1	2364	7572
2	5001	7059

prune950.0ms

Filtered

614 candidates to 318 candidates (51.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	614	0	614
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	614	4	618

Merged error: 0b

Counts

618 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

109×	`*-un-lft-identity`
89×	`add-sqr-sqrt`
72×	`times-frac`
61×	`sqrt-prod`
49×	`add-cube-cbrt`
41×	`associate-r`
18×	`associate-l`
15×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-div`
8×	`pow1`
7×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/l*`
5×	`flip3-+` `associate-/r*` `flip-+`
4×	`associate-/r/` `distribute-neg-frac` `add-log-exp`
3×	`unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`distribute-lft-neg-out` `neg-mul-1` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 176

Calls

4 calls:

3.0ms	(sqrt (+ f n))
3.0ms	(sqrt (+ f n))
8.0ms	(/ (sqrt (+ f n)) (- f n))
30.0ms	(* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (+ f n))
34.0ms	(sqrt (+ f n))
73.0ms	(/ (sqrt (+ f n)) (- f n))
77.0ms	(* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))

simplify71.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	529	1458
1	2378	1360
2	5001	1326

prune280.0ms

Filtered

188 candidates to 120 candidates (63.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	188	4	192

Merged error: 0b

Counts

192 → 4

regimes51.0ms

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	8	4
1	8	4

end0.0ms

sample318.0ms

Algorithm

intervals

Results

193.0ms

8000×

body

valid