Details

Time bar (total: 15.1s)

sample131.0ms

Algorithm
intervals
Results
58.0ms256×body80valid

simplify27.0ms

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

prune5.0ms

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))

rewrite203.0ms

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 expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp distribute-frac-neg flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 97
Calls
1 calls:
189.0ms
(/ (- (+ f n)) (- f n))

series271.0ms

Counts
1 → 3
Calls
1 calls:
271.0ms
(/ (- (+ f n)) (- f n))

simplify1.9s

Counts
100 → 100
Iterations
IterNodes
done5005
32249
2708
1316
0135

prune449.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 172
Calls
2 calls:
37.0ms
(/ -1 (/ (- f n) (+ f n)))
22.0ms
(/ (- f n) (+ f n))

series197.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(/ -1 (/ (- f n) (+ f n)))
108.0ms
(/ (- f n) (+ f n))

simplify1.8s

Counts
178 → 178
Iterations
IterNodes
done5000
21995
1596
0223

prune808.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

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))

rewrite335.0ms

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-cbrt-cube add-exp-log
9×associate-/l*
6×add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×cbrt-undiv clear-num frac-2neg div-exp
2×flip3-- frac-sub flip-- sub-div
1×sub-neg diff-log
Counts
4 → 531
Calls
4 calls:
122.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
10.0ms
(/ f (+ f n))
136.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
17.0ms
(/ n (+ f n))

series377.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
63.0ms
(/ f (+ f n))
142.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
54.0ms
(/ n (+ f n))

simplify3.2s

Counts
543 → 543
Iterations
IterNodes
done5003
23217
11171
0531

prune2.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

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)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
35×add-sqr-sqrt
25×add-cube-cbrt
19×prod-diff
14×flip3-- flip--
12×times-frac associate-/l*
11×distribute-rgt-in distribute-lft-in
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×expm1-log1p-u sub-neg log1p-expm1-u
2×cbrt-undiv neg-mul-1 div-exp prod-exp cbrt-unprod distribute-neg-frac associate-/l/
1×pow2 neg-sub0 clear-num associate-/r* frac-2neg pow-plus fma-neg diff-log div-sub pow-prod-down distribute-frac-neg pow-sqr *-commutative pow-prod-up div-inv unswap-sqr
Counts
3 → 135
Calls
3 calls:
39.0ms
(* (- f n) (- f n))
6.0ms
(- (* f f) (* n n))
49.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

series172.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* (- f n) (- f n))
37.0ms
(- (* f f) (* n n))
114.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

simplify1.7s

Counts
144 → 144
Iterations
IterNodes
done5003
21970
1622
0219

prune475.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

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

sample601.0ms

Algorithm
intervals
Results
392.0ms8000×body80valid