Details

Time bar (total: 4.4s)

sample313.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334
done334

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite64.0ms

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-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/ distribute-neg-frac
1×pow1 cbrt-undiv neg-sub0 flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 95
Calls
1 calls:
59.0ms
(/ (- (+ f n)) (- f n))

series83.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (- (+ f n)) (- f n))

simplify65.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0288764
1915748
22934733
35002733
done5002733

prune143.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
0.0b
(pow (/ (- (+ f n)) (- f n)) 3)
0.0b
(/ (- (+ f n)) (- f n))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
374×*-un-lft-identity
300×times-frac
270×add-sqr-sqrt
148×add-cube-cbrt
138×cbrt-prod
132×unpow-prod-down cube-prod
104×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
12×associate-/l*
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt sqr-pow
1×neg-sub0 pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 div-sub cube-neg clear-num rem-cbrt-cube flip-+
Counts
3 → 396
Calls
3 calls:
34.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
35.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
31.0ms
(/ (- (+ f n)) (- f n))

series259.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
77.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
73.0ms
(/ (- (+ f n)) (- f n))

simplify119.0ms

Counts
405 → 405
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09533788
145493489
250013481
done50013481

prune414.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
889×*-un-lft-identity
586×times-frac
471×add-sqr-sqrt
436×cbrt-prod
241×add-cube-cbrt
224×distribute-rgt-neg-in
196×distribute-lft-neg-in
149×swap-sqr
143×distribute-lft-out--
126×distribute-lft-out
103×difference-of-squares
69×associate-*r* associate-*l*
42×neg-mul-1
36×associate-/l*
15×associate-/r*
14×associate-/r/
12×add-exp-log
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-- flip-- div-inv
6×pow1/3 associate-/l/ distribute-neg-frac
4×cbrt-div add-log-exp
3×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-+
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 602
Calls
4 calls:
183.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
30.0ms
(/ (- (+ f n)) (- f n))
32.0ms
(/ (- (+ f n)) (- f n))
30.0ms
(/ (- (+ f n)) (- f n))

series378.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
67.0ms
(/ (- (+ f n)) (- f n))
67.0ms
(/ (- (+ f n)) (- f n))
65.0ms
(/ (- (+ f n)) (- f n))

simplify111.0ms

Counts
614 → 614
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06417670
123647572
250017059
done50017059

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- f n) (- f n))
3.7b
(- (* f f) (* n n))
29.9b
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

rewrite85.0ms

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-exp-log add-cbrt-cube
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-*r/ associate-*l/
3×sub-neg
2×cbrt-undiv distribute-rgt-in neg-mul-1 distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-neg-frac
1×pow2 neg-sub0 frac-2neg pow-plus diff-log div-sub distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv unswap-sqr
Counts
3 → 109
Calls
3 calls:
35.0ms
(* (- f n) (- f n))
7.0ms
(- (* f f) (* n n))
39.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* (- f n) (- f n))
32.0ms
(- (* f f) (* n n))
82.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

simplify67.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0429857
12303757
25002716
done5002716

prune190.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1134
2134
done134

end0.0ms

sample321.0ms

Algorithm
intervals
Results
154.0ms8000×body80valid