Details

Time bar (total: 20.5s)

sample58.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify64.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite83.0ms

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:
71.0ms
(/ (- (+ f n)) (- f n))

series117.0ms

Counts
1 → 3
Calls
1 calls:
117.0ms
(/ (- (+ f n)) (- f n))

simplify3.9s

Counts
98 → 98
Iterations

Useful iterations: 3 (460.0ms)

IterNodesCost
01331451
12871378
26901348
318251340
447161340
done50011340

prune289.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
229×*-un-lft-identity
180×times-frac
165×add-sqr-sqrt
132×exp-prod
91×add-cube-cbrt
67×log-pow
64×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
32×distribute-lft-out
16×neg-mul-1
12×associate-/l*
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg log-prod flip3-- div-sub flip-- div-inv
2×log-div exp-diff associate-/l/ distribute-neg-frac
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp log-rec clear-num flip-+ rem-exp-log
Counts
3 → 252
Calls
3 calls:
121.0ms
(log (exp (/ (- (+ f n)) (- f n))))
87.0ms
(exp (/ (- (+ f n)) (- f n)))
47.0ms
(/ (- (+ f n)) (- f n))

series336.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(log (exp (/ (- (+ f n)) (- f n))))
143.0ms
(exp (/ (- (+ f n)) (- f n)))
104.0ms
(/ (- (+ f n)) (- f n))

simplify2.3s

Counts
261 → 261
Iterations

Useful iterations: 3 (754.0ms)

IterNodesCost
02413236
14032862
28582790
321752768
done50002768

prune824.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

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))

rewrite597.0ms

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:
336.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
70.0ms
(/ (- (+ f n)) (- f n))
45.0ms
(/ (- (+ f n)) (- f n))
63.0ms
(/ (- (+ f n)) (- f n))

series563.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
89.0ms
(/ (- (+ f n)) (- f n))
76.0ms
(/ (- (+ f n)) (- f n))
130.0ms
(/ (- (+ f n)) (- f n))

simplify3.2s

Counts
614 → 614
Iterations

Useful iterations: done (3.2s)

IterNodesCost
038713481
163812534
2179712366
3343111869
done500111860

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
54×*-un-lft-identity
46×add-sqr-sqrt
28×cbrt-div
22×add-cube-cbrt
19×swap-sqr
18×pow1
15×associate-*r* associate-*l*
14×pow1/3
8×add-exp-log frac-times flip3-+ flip-+ distribute-lft-out unswap-sqr
6×flip3-- flip-- distribute-lft-out--
4×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube add-log-exp difference-of-squares
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 137
Calls
4 calls:
8.0ms
(cbrt (+ f n))
8.0ms
(cbrt (+ f n))
51.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
52.0ms
(* (cbrt (- f n)) (cbrt (- f n)))

series808.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(cbrt (+ f n))
175.0ms
(cbrt (+ f n))
242.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
187.0ms
(* (cbrt (- f n)) (cbrt (- f n)))

simplify2.6s

Counts
149 → 149
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01741931
13471730
28811646
319621516
done50001508

prune997.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
11410
21510
done1510

end0.0ms

sample753.0ms

Algorithm
intervals
Results
434.0ms8000×body80valid