Details

Time bar (total: 30.4s)

sample112.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify130.0ms

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

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 1 expressions with local error:

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

rewrite147.0ms

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-+ insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 96
Calls
1 calls:
136.0ms
(/ (- (+ f n)) (- f n))

series137.0ms

Counts
1 → 3
Calls
1 calls:
137.0ms
(/ (- (+ f n)) (- f n))

simplify4.3s

Counts
99 → 99
Iterations
IterNodes
done5008
32231
2702
1312
0134

prune856.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize64.0ms

Local error

Found 2 expressions with local error:

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

rewrite168.0ms

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 insert-posit16 add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 170
Calls
2 calls:
84.0ms
(/ -1 (/ (- f n) (+ f n)))
45.0ms
(/ (- f n) (+ f n))

series234.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(/ -1 (/ (- f n) (+ f n)))
125.0ms
(/ (- f n) (+ f n))

simplify4.0s

Counts
176 → 176
Iterations
IterNodes
done5002
21981
1598
0221

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite552.0ms

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 insert-posit16
3×cbrt-undiv clear-num frac-2neg div-exp
2×flip3-- frac-sub flip-- sub-div
1×sub-neg diff-log
Counts
4 → 185
Calls
4 calls:
242.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
42.0ms
(/ n (+ f n))
23.0ms
(/ f (+ f n))
225.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

series474.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
87.0ms
(/ n (+ f n))
68.0ms
(/ f (+ f n))
152.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

simplify3.4s

Counts
197 → 197
Iterations
IterNodes
done5000
21477
1497
0244

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize297.0ms

Local error

Found 4 expressions with local error:

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

rewrite710.0ms

Algorithm
rewrite-expression-head
Rules
252×*-un-lft-identity
205×times-frac
159×add-sqr-sqrt
120×add-cube-cbrt
81×add-cbrt-cube add-exp-log
72×swap-sqr associate-*l*
57×distribute-lft-out
55×associate-*r*
39×pow1
30×prod-exp cbrt-unprod
26×associate-/r/
25×cbrt-undiv div-exp
14×unswap-sqr
13×flip3-+ flip-+ div-inv
8×frac-times associate-*r/ pow-prod-up
6×pow-prod-down associate-*l/
4×pow2 pow-plus pow-sqr *-commutative insert-posit16 add-log-exp
1×cube-unmult
Counts
4 → 331
Calls
4 calls:
258.0ms
(* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f))))
127.0ms
(* (/ n (+ n f)) (/ n (+ n f)))
146.0ms
(* (/ f (+ n f)) (/ f (+ n f)))
127.0ms
(* (/ f (+ n f)) (/ f (+ n f)))

series534.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f))))
122.0ms
(* (/ n (+ n f)) (/ n (+ n f)))
124.0ms
(* (/ f (+ n f)) (/ f (+ n f)))
127.0ms
(* (/ f (+ n f)) (/ f (+ n f)))

simplify7.0s

Counts
343 → 343
Iterations
IterNodes
done5022
23558
1986
0275

prune3.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes264.0ms

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

sample803.0ms

Algorithm
intervals
Results
558.0ms8000×body80valid