Details

Time bar (total: 18.5s)

sample93.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify67.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite80.0ms

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:
69.0ms
(/ (- (+ f n)) (- f n))

series151.0ms

Counts
1 → 3
Calls
1 calls:
150.0ms
(/ (- (+ f n)) (- f n))

simplify4.1s

Counts
98 → 98
Iterations

Useful iterations: 3 (580.0ms)

IterNodesCost
01331451
12871378
26901348
318251340
447161340
done50011340

prune237.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

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))

rewrite182.0ms

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:
36.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
73.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
43.0ms
(/ (- (+ f n)) (- f n))

series408.0ms

Counts
3 → 9
Calls
3 calls:
185.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
145.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
78.0ms
(/ (- (+ f n)) (- f n))

simplify2.0s

Counts
405 → 405
Iterations

Useful iterations: 2 (850.0ms)

IterNodesCost
03188107
19436800
228576258
done50006258

prune708.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite535.0ms

Algorithm
rewrite-expression-head
Rules
320×*-un-lft-identity
241×times-frac
232×add-sqr-sqrt
126×add-cube-cbrt
92×distribute-lft-neg-in distribute-rgt-neg-in
69×associate-*r*
68×cbrt-prod
51×distribute-lft-out-- difference-of-squares
46×distribute-lft-out
36×associate-/l*
23×pow1 neg-mul-1
15×add-exp-log associate-/r*
12×cbrt-div
11×add-cbrt-cube
9×pow1/3 pow-prod-up
8×associate-/r/
6×pow-plus associate-/l/ distribute-neg-frac
5×frac-times pow-prod-down associate-*l/
4×flip3-- flip-- div-inv add-log-exp
3×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub associate-*r/ distribute-frac-neg div-exp prod-exp clear-num pow-sqr cbrt-unprod flip-+ unswap-sqr
2×pow2
1×associate-*l* pow3 *-commutative
Counts
4 → 391
Calls
4 calls:
316.0ms
(* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))))
63.0ms
(/ (- (+ f n)) (- f n))
36.0ms
(/ (- (+ f n)) (- f n))
71.0ms
(/ (- (+ f n)) (- f n))

series438.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))))
106.0ms
(/ (- (+ f n)) (- f n))
108.0ms
(/ (- (+ f n)) (- f n))
94.0ms
(/ (- (+ f n)) (- f n))

simplify2.6s

Counts
403 → 403
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
02617366
15847010
214406575
330616482
done50026482

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 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))
0.5b
(* (cbrt (- f n)) (cbrt (- f n)))

rewrite68.0ms

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:
7.0ms
(cbrt (- f n))
4.0ms
(cbrt (- f n))
4.0ms
(cbrt (- f n))
45.0ms
(* (cbrt (- f n)) (cbrt (- f n)))

series723.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt (- f n))
204.0ms
(cbrt (- f n))
176.0ms
(cbrt (- f n))
173.0ms
(* (cbrt (- f n)) (cbrt (- f n)))

simplify3.3s

Counts
113 → 113
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01311384
12621281
26181223
313281128
435161080
done50011032

prune395.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11511
21611
done1611

end0.0ms

sample1.0s

Algorithm
intervals
Results
814.0ms8000×body80valid