Details

Time bar (total: 4.4s)

sample317.0ms

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))

rewrite65.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
59.0ms
(/ (- (+ f n)) (- f n))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (- (+ f n)) (- f n))

simplify67.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0293774
1927758
23021743
35001743
done5001743

prune145.0ms

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))

rewrite125.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u 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 → 402
Calls
3 calls:
33.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
34.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
30.0ms
(/ (- (+ f n)) (- f n))

series251.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
77.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
70.0ms
(/ (- (+ f n)) (- f n))

simplify120.0ms

Counts
411 → 411
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09643818
145653516
250023516
done50023516

prune411.0ms

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))

rewrite319.0ms

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×expm1-log1p-u cbrt-div log1p-expm1-u 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 → 610
Calls
4 calls:
176.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
31.0ms
(/ (- (+ f n)) (- f n))
29.0ms
(/ (- (+ f n)) (- f n))
32.0ms
(/ (- (+ f n)) (- f n))

series370.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
62.0ms
(/ (- (+ f n)) (- f n))
65.0ms
(/ (- (+ f n)) (- f n))
70.0ms
(/ (- (+ f n)) (- f n))

simplify116.0ms

Counts
622 → 622
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06507724
123847626
250017113
done50017113

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

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)))

rewrite88.0ms

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-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×expm1-log1p-u sub-neg log1p-expm1-u
2×cbrt-undiv neg-mul-1 div-exp prod-exp cbrt-unprod associate-/l/ distribute-neg-frac
1×pow2 neg-sub0 frac-2neg pow-plus fma-neg 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 → 135
Calls
3 calls:
35.0ms
(* (- f n) (- f n))
10.0ms
(- (* f f) (* n n))
39.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* (- f n) (- f n))
31.0ms
(- (* f f) (* n n))
78.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

simplify88.0ms

Counts
144 → 144
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
05161184
12792956
25001924
done5001924

prune204.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes48.0ms

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

sample307.0ms

Algorithm
intervals
Results
150.0ms8000×body80valid