Details

Time bar (total: 16.5s)

sample58.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite85.0ms

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:
73.0ms
(/ (- (+ f n)) (- f n))

series149.0ms

Counts
1 → 3
Calls
1 calls:
148.0ms
(/ (- (+ f n)) (- f n))

simplify2.9s

Counts
100 → 100
Iterations

Useful iterations: 3 (676.0ms)

IterNodesCost
01351469
12921395
27021365
319071357
done50001357

prune282.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite115.0ms

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
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 172
Calls
2 calls:
51.0ms
(/ -1 (/ (- f n) (+ f n)))
43.0ms
(/ (- f n) (+ f n))

series218.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(/ -1 (/ (- f n) (+ f n)))
107.0ms
(/ (- f n) (+ f n))

simplify1.6s

Counts
178 → 178
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02232956
15142743
217732611
done50002597

prune501.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
708×*-un-lft-identity
599×times-frac
410×add-sqr-sqrt
350×add-cube-cbrt
324×prod-diff
139×distribute-lft-out
102×associate-/r/
50×div-inv
49×flip3-+ flip-+
35×distribute-lft-out--
25×associate-/r*
20×difference-of-squares
18×fma-neg
15×distribute-rgt-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
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×sub-neg diff-log
Counts
4 → 531
Calls
4 calls:
20.0ms
(/ f (+ f n))
12.0ms
(/ n (+ f n))
120.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
157.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

series371.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ f (+ f n))
59.0ms
(/ n (+ f n))
111.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
142.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

simplify2.7s

Counts
543 → 543
Iterations

Useful iterations: done (2.6s)

IterNodesCost
053122307
1110119683
2258215248
done500011566

prune892.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ f (+ f n))
0.0b
(/ -1 (- (/ f (+ f n)) (/ 1 (/ (+ f n) n))))
0.0b
(- (/ f (+ f n)) (/ 1 (/ (+ f n) n)))
0.2b
(/ 1 (/ (+ f n) n))

rewrite685.0ms

Algorithm
rewrite-expression-head
Rules
2424×times-frac
2014×*-un-lft-identity
1419×add-sqr-sqrt
1254×add-cube-cbrt
954×prod-diff
345×distribute-lft-out
138×div-inv
132×associate-/r/
55×flip3-+ flip-+
50×difference-of-squares
37×associate-/r*
20×distribute-lft-out--
19×add-exp-log
18×fma-neg
13×add-cbrt-cube
9×div-exp associate-/l*
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×rec-exp flip3-- 1-exp frac-sub flip--
1×sub-neg pow-flip diff-log inv-pow
Counts
4 → 1214
Calls
4 calls:
18.0ms
(/ f (+ f n))
199.0ms
(/ -1 (- (/ f (+ f n)) (/ 1 (/ (+ f n) n))))
209.0ms
(- (/ f (+ f n)) (/ 1 (/ (+ f n) n)))
35.0ms
(/ 1 (/ (+ f n) n))

series383.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(/ f (+ f n))
127.0ms
(/ -1 (- (/ f (+ f n)) (/ 1 (/ (+ f n) n))))
120.0ms
(- (/ f (+ f n)) (/ 1 (/ (+ f n) n)))
61.0ms
(/ 1 (/ (+ f n) n))

simplify2.6s

Counts
1226 → 1226
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0116676422
1251358810
2421944752
done500044590

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes56.0ms

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
01015
11315
done1315

end0.0ms

sample1.0s

Algorithm
intervals
Results
817.0ms8000×body80valid