Details

Time bar (total: 16.5s)

sample272.0ms

Algorithm
intervals
Results
52.0ms256×body80valid

simplify55.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (+ f n)) (- f n))

rewrite47.0ms

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:
41.0ms
(/ (- (+ f n)) (- f n))

series88.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (- (+ f n)) (- f n))

simplify3.0s

Counts
100 → 100
Iterations

Useful iterations: 3 (747.0ms)

IterNodesCost
01351469
12921395
27021365
319071357
done50001357

prune225.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1) (/ (- f n) (+ f n)))
0.1b
(/ (- f n) (+ f n))

rewrite132.0ms

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-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg div-sub clear-num log1p-expm1-u associate-/l/ add-log-exp
1×neg-sub0 flip3-- distribute-frac-neg flip--
Counts
2 → 363
Calls
2 calls:
41.0ms
(/ (- 1) (/ (- f n) (+ f n)))
46.0ms
(/ (- f n) (+ f n))

series197.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(/ (- 1) (/ (- f n) (+ f n)))
76.0ms
(/ (- f n) (+ f n))

simplify2.1s

Counts
369 → 369
Iterations

Useful iterations: done (2.1s)

IterNodesCost
04027547
19856221
224405842
done50015762

prune637.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
933×*-un-lft-identity
830×times-frac
551×add-sqr-sqrt
407×add-cube-cbrt
324×prod-diff
167×distribute-lft-out
130×associate-/r/
84×distribute-lft-out--
64×div-inv
63×flip3-+ flip-+
54×distribute-lft-neg-in distribute-rgt-neg-in
48×difference-of-squares
36×distribute-rgt-out--
25×associate-/r*
18×neg-mul-1 fma-neg
16×associate-/l*
10×add-exp-log add-cbrt-cube
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv frac-2neg div-exp clear-num
2×flip3-- frac-sub flip-- sub-div
1×neg-sub0 sub-neg diff-log div-sub distribute-frac-neg
Counts
4 → 659
Calls
4 calls:
20.0ms
(/ f (+ f n))
118.0ms
(/ (- 1) (- (/ f (+ f n)) (/ n (+ f n))))
12.0ms
(/ n (+ f n))
109.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

series322.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ f (+ f n))
113.0ms
(/ (- 1) (- (/ f (+ f n)) (/ n (+ f n))))
47.0ms
(/ n (+ f n))
103.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

simplify2.6s

Counts
671 → 671
Iterations

Useful iterations: done (2.6s)

IterNodesCost
066225896
1137422525
2287018093
done500014067

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ n (+ f n))
0.0b
(/ (- 1) (- (log (exp (/ f (+ f n)))) (/ n (+ f n))))
0.0b
(- (log (exp (/ f (+ f n)))) (/ n (+ f n)))
4.2b
(log (exp (/ f (+ f n))))

rewrite746.0ms

Algorithm
rewrite-expression-head
Rules
701×*-un-lft-identity
598×times-frac
465×add-sqr-sqrt
405×add-cube-cbrt
396×prod-diff
392×log-pow
360×exp-prod
130×distribute-lft-out
88×associate-/r/
44×div-inv
43×flip3-+ flip-+
36×pow1
24×distribute-lft-neg-in distribute-rgt-neg-in distribute-lft-out-- difference-of-squares
22×fma-neg
13×associate-/l*
11×associate-/r*
8×add-exp-log neg-mul-1 add-cbrt-cube
6×log-prod
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate--l+
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip--
1×neg-sub0 sub-neg diff-log div-sub distribute-frac-neg rem-log-exp
Counts
4 → 611
Calls
4 calls:
13.0ms
(/ n (+ f n))
304.0ms
(/ (- 1) (- (log (exp (/ f (+ f n)))) (/ n (+ f n))))
299.0ms
(- (log (exp (/ f (+ f n)))) (/ n (+ f n)))
33.0ms
(log (exp (/ f (+ f n))))

series291.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ n (+ f n))
110.0ms
(/ (- 1) (- (log (exp (/ f (+ f n)))) (/ n (+ f n))))
87.0ms
(- (log (exp (/ f (+ f n)))) (/ n (+ f n)))
46.0ms
(log (exp (/ f (+ f n))))

simplify2.2s

Counts
623 → 623
Iterations

Useful iterations: done (2.1s)

IterNodesCost
060628191
1124623574
2241917393
done500013089

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0914
11513
done1513

end0.0ms

sample1.1s

Algorithm
intervals
Results
760.0ms8000×body80valid