Details

Time bar (total: 18.5s)

sample212.0ms

Algorithm
intervals
Results
49.0ms256×body80valid

simplify104.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06162
113162
216162
320162
424162
529162
631162
done31162

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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:
31.0ms
(/ (- (+ f n)) (- f n))

series696.0ms

Counts
1 → 3
Calls
1 calls:
695.0ms
(/ (- (+ f n)) (- f n))

simplify2.5s

Counts
98 → 98
Iterations

Useful iterations: done (2.5s)

IterNodesCost
013331882
131129813
269829653
3222629574
done500629534

prune323.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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-cbrt-cube add-exp-log
8×associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 168
Calls
2 calls:
27.0ms
(/ -1 (/ (- f n) (+ f n)))
19.0ms
(/ (- f n) (+ f n))

series247.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(/ -1 (/ (- f n) (+ f n)))
119.0ms
(/ (- f n) (+ f n))

simplify2.4s

Counts
174 → 174
Iterations

Useful iterations: done (2.3s)

IterNodesCost
021963914
158958239
2212857090
done500256934

prune706.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
301×*-un-lft-identity
240×times-frac
217×add-sqr-sqrt
198×cbrt-prod
119×add-cube-cbrt
84×distribute-lft-neg-in distribute-rgt-neg-in
49×distribute-lft-out-- difference-of-squares
42×distribute-lft-out
21×neg-mul-1
12×associate-/l*
8×associate-/r/
6×add-cbrt-cube add-exp-log
5×associate-/r*
4×pow1 flip3-- div-inv flip-- add-log-exp
3×cbrt-div pow1/3
2×distribute-neg-frac associate-/l/
1×neg-sub0 cbrt-undiv clear-num frac-2neg flip3-+ div-sub div-exp distribute-frac-neg flip-+
Counts
4 → 320
Calls
4 calls:
47.0ms
(/ (- (+ f n)) (- f n))
30.0ms
(cbrt (/ (- (+ f n)) (- f n)))
22.0ms
(cbrt (/ (- (+ f n)) (- f n)))
22.0ms
(cbrt (/ (- (+ f n)) (- f n)))

series1.1s

Counts
4 → 12
Calls
4 calls:
120.0ms
(/ (- (+ f n)) (- f n))
327.0ms
(cbrt (/ (- (+ f n)) (- f n)))
308.0ms
(cbrt (/ (- (+ f n)) (- f n)))
346.0ms
(cbrt (/ (- (+ f n)) (- f n)))

simplify2.8s

Counts
332 → 332
Iterations

Useful iterations: 3 (997.0ms)

IterNodesCost
0216153586
1405143546
2834143146
32476142350
done5000142350

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
131×*-un-lft-identity
85×add-sqr-sqrt
80×times-frac
47×add-cube-cbrt
26×cbrt-prod
23×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
15×associate-/l*
12×associate-/r*
10×add-cbrt-cube add-exp-log
8×associate-/r/
6×associate-/l/
4×pow1 flip3-+ flip-+ div-inv add-log-exp
3×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp flip--
1×cbrt-div pow1/3
Counts
4 → 173
Calls
4 calls:
7.0ms
(cbrt (/ (- f n) (+ f n)))
26.0ms
(/ (- f n) (+ f n))
34.0ms
(/ (- f n) (+ f n))
33.0ms
(/ (- f n) (+ f n))

series615.0ms

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt (/ (- f n) (+ f n)))
98.0ms
(/ (- f n) (+ f n))
121.0ms
(/ (- f n) (+ f n))
98.0ms
(/ (- f n) (+ f n))

simplify2.8s

Counts
185 → 185
Iterations

Useful iterations: 3 (820.0ms)

IterNodesCost
011952941
124648635
264448235
3321248075
done500148075

prune871.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06162
112162
213162
done13162

end0.0ms

sample610.0ms

Algorithm
intervals
Results
400.0ms8000×body80valid