Details

sample125.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify26.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	32
6	32
5	30
4	26
3	20
2	16
1	13
0	6

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `distribute-neg-frac` `associate-/l/`
1×	`neg-sub0` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `distribute-frac-neg` `flip-+` `div-inv` `flip--` `add-log-exp`

Counts

1 → 95

Calls

1 calls:

30.0ms

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

series279.0ms

Counts

1 → 3

Calls

1 calls:

278.0ms

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

simplify947.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1077
1	314
0	135

prune332.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

500×	`times-frac`
424×	`*-un-lft-identity`
302×	`add-sqr-sqrt`
204×	`add-cube-cbrt`
81×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
61×	`distribute-lft-out`
49×	`distribute-lft-out--` `difference-of-squares`
30×	`associate-/r*`
27×	`neg-mul-1`
25×	`associate-/r/`
15×	`associate-/l*`
13×	`div-inv`
12×	`flip3-+` `flip-+`
9×	`add-cbrt-cube` `add-exp-log`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `div-sub` `add-log-exp` `associate-/l/`
1×	`neg-sub0` `flip3--` `distribute-frac-neg` `flip--`

Counts

2 → 359

Calls

2 calls:

30.0ms	(/ (- 1) (/ (- f n) (+ n f)))
28.0ms	(/ (- f n) (+ n f))

series228.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(/ (- 1) (/ (- f n) (+ n f)))
119.0ms	(/ (- f n) (+ n f))

simplify682.0ms

Counts

365 → 365

Iterations

Iter	Nodes
done	5001
1	1261
0	407

prune872.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

415×	`*-un-lft-identity`
386×	`times-frac`
255×	`add-sqr-sqrt`
111×	`add-cube-cbrt`
84×	`distribute-lft-out--`
56×	`associate-/r/` `distribute-lft-out`
54×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
48×	`difference-of-squares`
36×	`distribute-rgt-out--`
27×	`div-inv`
26×	`flip3-+` `flip-+`
25×	`associate-/r*`
18×	`neg-mul-1`
16×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
2×	`flip3--` `frac-sub` `flip--` `sub-div`
1×	`neg-sub0` `sub-neg` `diff-log` `div-sub` `distribute-frac-neg`

Counts

4 → 309

Calls

4 calls:

156.0ms	(/ (- 1) (- (/ f (+ n f)) (/ n (+ n f))))
17.0ms	(/ n (+ n f))
19.0ms	(/ f (+ n f))
82.0ms	(- (/ f (+ n f)) (/ n (+ n f)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(/ (- 1) (- (/ f (+ n f)) (/ n (+ n f))))
75.0ms	(/ n (+ n f))
76.0ms	(/ f (+ n f))
139.0ms	(- (/ f (+ n f)) (/ n (+ n f)))

simplify1.6s

Counts

321 → 321

Iterations

Iter	Nodes
done	5000
2	4210
1	858
0	377

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1) (- (log (exp (/ f (+ n f)))) (/ n (+ n f))))
0.0b	(/ f (+ n f))
0.0b	(- (log (exp (/ f (+ n f)))) (/ n (+ n f)))
2.6b	(log (exp (/ f (+ n f))))

rewrite506.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
106×	`times-frac`
58×	`add-cube-cbrt`
31×	`log-pow`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-lft-out--` `difference-of-squares`
18×	`exp-prod`
17×	`pow1`
13×	`associate-/l*`
11×	`associate-/r*`
8×	`neg-mul-1` `add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out`
6×	`log-prod` `associate-/r/`
5×	`add-log-exp`
3×	`associate--l+` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `flip--`
1×	`neg-sub0` `sub-neg` `diff-log` `div-sub` `rem-log-exp` `distribute-frac-neg`

Counts

4 → 185

Calls

4 calls:

231.0ms	(/ (- 1) (- (log (exp (/ f (+ n f)))) (/ n (+ n f))))
16.0ms	(/ f (+ n f))
227.0ms	(- (log (exp (/ f (+ n f)))) (/ n (+ n f)))
24.0ms	(log (exp (/ f (+ n f))))

series385.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(/ (- 1) (- (log (exp (/ f (+ n f)))) (/ n (+ n f))))
75.0ms	(/ f (+ n f))
112.0ms	(- (log (exp (/ f (+ n f)))) (/ n (+ n f)))
67.0ms	(log (exp (/ f (+ n f))))

simplify777.0ms

Counts

197 → 197

Iterations

Iter	Nodes
done	5001
2	1437
1	520
0	249

prune761.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample726.0ms

Algorithm

intervals

Results

434.0ms

8000×

body

valid