Details

Time bar (total: 18.4s)

sample102.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify49.0ms

Counts
1 → 1
Iterations
IterNodes
731
631
529
424
320
216
113
06

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite91.0ms

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:
84.0ms
(/ (- (+ f n)) (- f n))

series236.0ms

Counts
1 → 3
Calls
1 calls:
235.0ms
(/ (- (+ f n)) (- f n))

simplify2.4s

Counts
99 → 99
Iterations
IterNodes
45587
31845
2698
1311
0134

prune772.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:
17.0ms
(/ -1 (/ (- f n) (+ f n)))
17.0ms
(/ (- f n) (+ f n))

series212.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(/ -1 (/ (- f n) (+ f n)))
90.0ms
(/ (- f n) (+ f n))

simplify3.3s

Counts
176 → 176
Iterations
IterNodes
35930
21869
1584
0221

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
284×*-un-lft-identity
168×times-frac
146×add-sqr-sqrt
74×add-cube-cbrt
50×distribute-lft-out
48×swap-sqr
42×distribute-lft-out--
30×difference-of-squares
26×associate-*r* associate-*l*
20×add-cbrt-cube add-exp-log
12×associate-/r/
11×pow1
10×associate-/r*
8×associate-/l*
7×cbrt-div
6×frac-times cbrt-undiv flip3-- div-exp associate-*l/ div-inv flip--
4×prod-exp associate-*r/ cbrt-unprod insert-posit16 distribute-neg-frac add-log-exp unswap-sqr associate-/l/
2×clear-num frac-2neg flip3-+ flip-+
1×cbrt-prod pow2 pow-plus pow1/3 pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 238
Calls
4 calls:
29.0ms
(/ (+ n f) (- f n))
22.0ms
(/ (+ n f) (- f n))
96.0ms
(cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n)))))
67.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))

series737.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ (+ n f) (- f n))
121.0ms
(/ (+ n f) (- f n))
440.0ms
(cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n)))))
99.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))

simplify638.0ms

Counts
250 → 250
Iterations
IterNodes
22593
1669
0201

prune2.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (+ f n)))
0.0b
(sqrt (- (+ f n)))
0.1b
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))
0.2b
(/ (sqrt (- (+ f n))) (- f n))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
246×*-un-lft-identity
224×add-sqr-sqrt
217×times-frac
203×sqrt-prod
114×add-cube-cbrt
81×associate-*r*
64×distribute-lft-neg-in distribute-rgt-neg-in
49×associate-*l*
32×distribute-lft-out
31×distribute-lft-out-- difference-of-squares
23×add-exp-log
18×add-cbrt-cube
16×neg-mul-1
15×associate-/l* unswap-sqr
8×pow1 div-exp
6×sqrt-div prod-exp distribute-neg-frac
5×cbrt-undiv associate-/r*
4×associate-/r/ cbrt-unprod insert-posit16 add-log-exp
3×flip3-+ flip-+ div-inv
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 1-exp flip-- associate-/l/
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 330
Calls
4 calls:
12.0ms
(sqrt (- (+ f n)))
9.0ms
(sqrt (- (+ f n)))
86.0ms
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))
30.0ms
(/ (sqrt (- (+ f n))) (- f n))

series478.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(sqrt (- (+ f n)))
85.0ms
(sqrt (- (+ f n)))
133.0ms
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))
185.0ms
(/ (sqrt (- (+ f n))) (- f n))

simplify978.0ms

Counts
342 → 342
Iterations
IterNodes
22406
11000
0346

prune2.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid