Details

analyze32.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample211.0ms

Algorithm

intervals

Results

201.0ms

256×

body

valid

simplify481.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

18.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5893	532

prune57.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0b

Counts

49 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (/ (- n f) (+ f n)))
0.0b	(/ (- n f) (+ 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`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 174

Calls

2 calls:

11.0ms	(/ 1 (/ (- n f) (+ f n)))
7.0ms	(/ (- n f) (+ f n))

series17.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ 1 (/ (- n f) (+ f n)))
9.0ms	(/ (- n f) (+ f n))

simplify69.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4963	2429
1	4963	2429

prune135.0ms

Filtered

99 candidates to 180 candidates (-81.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	180	3	183

Merged error: 0b

Counts

183 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sqrt (- n f)))
0.2b	(* (/ 1 (sqrt (- n f))) (/ (+ f n) (sqrt (- n f))))
0.2b	(/ (+ f n) (sqrt (- n f)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

149×	`add-sqr-sqrt`
143×	`*-un-lft-identity`
134×	`times-frac`
91×	`sqrt-prod`
71×	`add-cube-cbrt`
38×	`associate-r`
31×	`add-exp-log`
30×	`associate-l`
19×	`add-cbrt-cube`
17×	`distribute-lft-out`
16×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
15×	`unswap-sqr`
11×	`div-exp`
8×	`sqrt-div` `prod-exp` `associate-/r/`
7×	`pow1` `associate-/l*`
6×	`cbrt-undiv`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`rec-exp` `pow-flip` `1-exp` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip-+` `inv-pow`

Counts

3 → 222

Calls

3 calls:

7.0ms	(/ 1 (sqrt (- n f)))
36.0ms	(* (/ 1 (sqrt (- n f))) (/ (+ f n) (sqrt (- n f))))
8.0ms	(/ (+ f n) (sqrt (- n f)))

series44.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ 1 (sqrt (- n f)))
8.0ms	(* (/ 1 (sqrt (- n f))) (/ (+ f n) (sqrt (- n f))))
13.0ms	(/ (+ f n) (sqrt (- n f)))

simplify50.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5220	2918

prune169.0ms

Filtered

123 candidates to 231 candidates (-87.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	231	3	234

Merged error: 0b

Counts

234 → 3

regimes73.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	39	7
1	39	7

end0.0ms

sample337.0ms

Algorithm

intervals

Results

210.0ms

8000×

body

valid

Details

analyze32.0ms

sample211.0ms

simplify481.0ms

prune10.0ms

localize6.0ms

rewrite21.0ms

series16.0ms

simplify42.0ms

prune57.0ms

localize6.0ms

rewrite27.0ms

series17.0ms

simplify69.0ms

prune135.0ms

localize8.0ms

rewrite62.0ms

series44.0ms

simplify50.0ms

prune169.0ms

regimes73.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample337.0ms

Profiling