Details

analyze231.0ms

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

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify475.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

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))

rewrite22.0ms

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:

19.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify70.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4917	532
1	4917	532

prune53.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Merged error: 0.0b

Counts

49 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 185

Calls

3 calls:

11.0ms	(cbrt (pow (/ (+ f n) (- n f)) 3))
9.0ms	(pow (/ (+ f n) (- n f)) 3)
7.0ms	(/ (+ f n) (- n f))

series37.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(cbrt (pow (/ (+ f n) (- n f)) 3))
16.0ms	(pow (/ (+ f n) (- n f)) 3)
8.0ms	(/ (+ f n) (- n f))

simplify40.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5559	2496

prune136.0ms

Filtered

85 candidates to 194 candidates (-128.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	194	4	198

Merged error: 0b

Counts

198 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (+ f n) (- n f)))
0.0b	(/ (+ f n) (- n f))
0.0b	(/ (+ f n) (- n f))
0.0b	(cbrt (pow (/ (+ f n) (- n f)) 2))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
80×	`times-frac`
57×	`cbrt-prod`
47×	`add-cube-cbrt`
26×	`unpow-prod-down`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r*`
8×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `associate-/l*`
4×	`pow1` `flip3--` `flip--` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `pow1/3` `div-exp` `clear-num` `flip-+`
1×	`cbrt-div` `unpow2` `sqr-pow`

Counts

4 → 164

Calls

4 calls:

7.0ms	(cbrt (/ (+ f n) (- n f)))
10.0ms	(/ (+ f n) (- n f))
7.0ms	(/ (+ f n) (- n f))
10.0ms	(cbrt (pow (/ (+ f n) (- n f)) 2))

series60.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (/ (+ f n) (- n f)))
8.0ms	(/ (+ f n) (- n f))
8.0ms	(/ (+ f n) (- n f))
21.0ms	(cbrt (pow (/ (+ f n) (- n f)) 2))

simplify48.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4923	2249
1	4923	2249

prune194.0ms

Filtered

115 candidates to 176 candidates (-53.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	176	4	180

Merged error: 0b

Counts

180 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (* (cbrt (pow (/ (+ f n) (- n f)) 2)) (cbrt (/ (+ f n) (- n f)))) 3)
0.0b	(/ (+ f n) (- n f))
0.0b	(/ (+ f n) (- n f))
0.0b	(cbrt (pow (/ (+ f n) (- n f)) 2))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

100×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
60×	`times-frac`
38×	`add-cube-cbrt`
32×	`cbrt-prod`
27×	`unpow-prod-down`
17×	`distribute-lft-out`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`add-exp-log`
10×	`associate-/r*`
9×	`add-cbrt-cube`
8×	`associate-/l*`
7×	`pow1`
6×	`associate-/r/`
4×	`pow-pow` `associate-/l/` `add-log-exp`
3×	`pow-unpow` `flip3--` `pow1/3` `flip--` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `flip-+` `unpow2` `rem-cube-cbrt` `sqr-pow`
1×	`cube-div` `cube-mult` `pow-to-exp` `cbrt-div` `unpow3` `cube-prod` `associate-*r/` `pow3` `prod-exp` `cbrt-unprod`

Counts

4 → 154

Calls

4 calls:

23.0ms	(pow (* (cbrt (pow (/ (+ f n) (- n f)) 2)) (cbrt (/ (+ f n) (- n f)))) 3)
8.0ms	(/ (+ f n) (- n f))
8.0ms	(/ (+ f n) (- n f))
10.0ms	(cbrt (pow (/ (+ f n) (- n f)) 2))

series60.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (* (cbrt (pow (/ (+ f n) (- n f)) 2)) (cbrt (/ (+ f n) (- n f)))) 3)
8.0ms	(/ (+ f n) (- n f))
9.0ms	(/ (+ f n) (- n f))
20.0ms	(cbrt (pow (/ (+ f n) (- n f)) 2))

simplify59.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	6035	1935

prune223.0ms

Filtered

108 candidates to 166 candidates (-53.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	166	4	170

Merged error: 0b

Counts

170 → 4

regimes92.0ms

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	22	19
1	22	19

end0.0ms

sample339.0ms

Algorithm

intervals

Results

205.0ms

8000×

body

valid

Details

analyze231.0ms

sample17.0ms

simplify475.0ms

prune10.0ms

localize6.0ms

rewrite22.0ms

series17.0ms

simplify70.0ms

prune53.0ms

localize8.0ms

rewrite36.0ms

series37.0ms

simplify40.0ms

prune136.0ms

localize10.0ms

rewrite40.0ms

series60.0ms

simplify48.0ms

prune194.0ms

localize13.0ms

rewrite54.0ms

series60.0ms

simplify59.0ms

prune223.0ms

regimes92.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample339.0ms

Profiling