Details

Time bar (total: 10.4s)

sample259.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5318
6328
done328

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:
19.0ms
(/ (- (+ f n)) (- f n))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (- (+ f n)) (- f n))

simplify1.2s

Counts
98 → 98
Iterations

Useful iterations: 3 (305.0ms)

IterNodesCost
01331451
12931378
28741348
327821340
done50011340

prune154.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
0.0b
(/ (- (+ f n)) (- f n))
0.1b
(pow (/ (- (+ f n)) (- f n)) 3)

rewrite97.0ms

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:
26.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
17.0ms
(/ (- (+ f n)) (- f n))
25.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series259.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
69.0ms
(/ (- (+ f n)) (- f n))
76.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify1.5s

Counts
405 → 405
Iterations

Useful iterations: 2 (324.0ms)

IterNodesCost
03188107
19716819
239976258
done50006258

prune449.0ms

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))

rewrite247.0ms

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:
141.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
19.0ms
(/ (- (+ f n)) (- f n))
17.0ms
(/ (- (+ f n)) (- f n))
17.0ms
(/ (- (+ f n)) (- f n))

series391.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
66.0ms
(/ (- (+ f n)) (- f n))
70.0ms
(/ (- (+ f n)) (- f n))
71.0ms
(/ (- (+ f n)) (- f n))

simplify855.0ms

Counts
614 → 614
Iterations

Useful iterations: 2 (222.0ms)

IterNodesCost
038713481
164712638
2245312366
done500012366

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))
0.6b
(* (cbrt (- f n)) (cbrt (- f n)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))
19.0ms
(* (cbrt (- f n)) (cbrt (- f n)))

series588.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- f n))
156.0ms
(cbrt (- f n))
154.0ms
(cbrt (- f n))
127.0ms
(* (cbrt (- f n)) (cbrt (- f n)))

simplify2.4s

Counts
113 → 113
Iterations

Useful iterations: 3 (560.0ms)

IterNodesCost
01311384
12651293
29551223
337481128
done50001128

prune252.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes51.0ms

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
068
1128
2138
done138

end0.0ms

sample294.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid