Details

Time bar (total: 10.1s)

sample258.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6318
done318

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
19.0ms
(/ (- (+ f n)) (- f n))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (- (+ f n)) (- f n))

simplify1.7s

Counts
100 → 100
Iterations

Useful iterations: 3 (435.0ms)

IterNodesCost
01351469
12951395
26981365
319821357
done50001357

prune162.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
229×*-un-lft-identity
180×times-frac
165×add-sqr-sqrt
132×exp-prod
91×add-cube-cbrt
67×log-pow
64×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
32×distribute-lft-out
16×neg-mul-1
12×associate-/l*
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg expm1-log1p-u log-prod flip3-- div-sub flip-- log1p-expm1-u div-inv
2×log-div exp-diff associate-/l/ distribute-neg-frac
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp log-rec clear-num flip-+ rem-exp-log
Counts
3 → 258
Calls
3 calls:
33.0ms
(exp (/ (- (+ f n)) (- f n)))
39.0ms
(log (exp (/ (- (+ f n)) (- f n))))
18.0ms
(/ (- (+ f n)) (- f n))

series229.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(exp (/ (- (+ f n)) (- f n)))
70.0ms
(log (exp (/ (- (+ f n)) (- f n))))
70.0ms
(/ (- (+ f n)) (- f n))

simplify1.4s

Counts
267 → 267
Iterations

Useful iterations: 3 (561.0ms)

IterNodesCost
02473296
14152917
28682845
324022823
done50012823

prune503.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
454×times-frac
399×*-un-lft-identity
287×add-sqr-sqrt
197×add-cube-cbrt
166×exp-prod
84×log-pow
56×distribute-lft-out
45×distribute-lft-out-- difference-of-squares
30×associate-/r*
25×associate-/r/
14×div-inv
11×add-exp-log flip3-+ add-cbrt-cube flip-+
8×associate-/l*
5×pow1 add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×log-prod
2×frac-2neg clear-num associate-/l/
1×flip3-- div-sub rem-log-exp flip-- rem-exp-log
Counts
4 → 362
Calls
4 calls:
36.0ms
(exp (/ -1 (/ (- f n) (+ f n))))
12.0ms
(/ (- f n) (+ f n))
37.0ms
(log (exp (/ -1 (/ (- f n) (+ f n)))))
16.0ms
(/ -1 (/ (- f n) (+ f n)))

series299.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(exp (/ -1 (/ (- f n) (+ f n))))
68.0ms
(/ (- f n) (+ f n))
70.0ms
(log (exp (/ -1 (/ (- f n) (+ f n)))))
71.0ms
(/ -1 (/ (- f n) (+ f n)))

simplify920.0ms

Counts
374 → 374
Iterations

Useful iterations: done (906.0ms)

IterNodesCost
03645577
16794916
219374696
done50004688

prune806.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
0.0b
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
314×*-un-lft-identity
240×times-frac
226×add-sqr-sqrt
138×log-pow
134×sqrt-pow1
132×exp-prod
126×add-cube-cbrt
88×distribute-lft-neg-in distribute-rgt-neg-in
50×distribute-lft-out-- difference-of-squares
44×distribute-lft-out
24×associate-/l*
22×neg-mul-1
12×log-prod
10×add-exp-log associate-/r*
8×pow1 associate-/r/ add-cbrt-cube
6×sqrt-prod
4×neg-sub0 expm1-log1p-u log-div flip3-- sqrt-div div-sub distribute-frac-neg flip-- log1p-expm1-u div-inv associate-/l/ distribute-neg-frac add-log-exp
2×cbrt-undiv exp-neg frac-2neg flip3-+ pow1/2 exp-diff div-exp rem-log-exp clear-num flip-+
Counts
4 → 368
Calls
4 calls:
38.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
42.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
17.0ms
(/ (- (+ f n)) (- f n))
20.0ms
(/ (- (+ f n)) (- f n))

series485.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
173.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
70.0ms
(/ (- (+ f n)) (- f n))
70.0ms
(/ (- (+ f n)) (- f n))

simplify1.4s

Counts
380 → 380
Iterations

Useful iterations: 3 (555.0ms)

IterNodesCost
02585162
14244576
28694452
323814422
done50004422

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
21510
done1510

end0.0ms

sample289.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid