Details

Time bar (total: 12.1s)

sample130.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify43.0ms

Counts
1 → 1
Iterations
IterNodes
done31
631
529
424
320
216
113
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite78.0ms

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:
66.0ms
(/ (- (+ f n)) (- f n))

series117.0ms

Counts
1 → 3
Calls
1 calls:
117.0ms
(/ (- (+ f n)) (- f n))

simplify1.9s

Counts
98 → 98
Iterations
IterNodes
done5006
32226
2698
1311
0133

prune411.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

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:
40.0ms
(/ -1 (/ (- f n) (+ f n)))
35.0ms
(/ (- f n) (+ f n))

series200.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(/ -1 (/ (- f n) (+ f n)))
103.0ms
(/ (- f n) (+ f n))

simplify1.8s

Counts
174 → 174
Iterations
IterNodes
done5002
22128
1589
0219

prune797.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite311.0ms

Algorithm
rewrite-expression-head
Rules
190×*-un-lft-identity
155×times-frac
114×add-sqr-sqrt
54×add-cube-cbrt
35×distribute-lft-out--
28×associate-/r/ distribute-lft-out
25×associate-/r*
20×difference-of-squares
15×distribute-rgt-out--
13×div-inv
12×flip3-+ flip-+
10×add-cbrt-cube add-exp-log
9×associate-/l*
6×add-log-exp
4×pow1
3×cbrt-undiv clear-num frac-2neg div-exp
2×flip3-- frac-sub flip-- sub-div
1×sub-neg diff-log
Counts
4 → 181
Calls
4 calls:
158.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
18.0ms
(/ f (+ f n))
100.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
18.0ms
(/ n (+ f n))

series400.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
86.0ms
(/ f (+ f n))
93.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
75.0ms
(/ n (+ f n))

simplify1.6s

Counts
193 → 193
Iterations
IterNodes
done5001
21713
1494
0240

prune995.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- f n) (- f n))
3.4b
(- (* f f) (* n n))
33.0b
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
23×add-sqr-sqrt
14×flip3-- flip--
13×add-cube-cbrt
12×times-frac associate-/l*
10×pow1 add-cbrt-cube add-exp-log
9×difference-of-squares
8×distribute-lft-neg-in frac-times distribute-rgt-neg-in associate-/r/
7×swap-sqr
6×distribute-lft-out--
5×associate-*r* associate-*l* add-log-exp
4×associate-*l/ associate-*r/
3×sub-neg
2×distribute-rgt-in cbrt-undiv neg-mul-1 distribute-lft-in div-exp prod-exp cbrt-unprod distribute-neg-frac associate-/l/
1×pow2 neg-sub0 clear-num associate-/r* frac-2neg pow-plus diff-log div-sub pow-prod-down distribute-frac-neg pow-sqr *-commutative pow-prod-up div-inv unswap-sqr
Counts
3 → 109
Calls
3 calls:
49.0ms
(* (- f n) (- f n))
6.0ms
(- (* f f) (* n n))
61.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

series218.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* (- f n) (- f n))
59.0ms
(- (* f f) (* n n))
126.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

simplify1.6s

Counts
118 → 118
Iterations
IterNodes
done5002
21490
1493
0163

prune495.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample549.0ms

Algorithm
intervals
Results
359.0ms8000×body80valid