Details

Time bar (total: 11.7s)

sample102.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify107.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6328
done328

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite85.0ms

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:
73.0ms
(/ (- (+ f n)) (- f n))

series156.0ms

Counts
1 → 3
Calls
1 calls:
156.0ms
(/ (- (+ f n)) (- f n))

simplify1.0s

Counts
98 → 98
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01331451
13111378
210601348
done50001341

prune444.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- f n) (+ f n))
0.0b
(/ (- 1) (/ (- f n) (+ f n)))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
500×times-frac
424×*-un-lft-identity
302×add-sqr-sqrt
204×add-cube-cbrt
81×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out
49×distribute-lft-out-- difference-of-squares
30×associate-/r*
27×neg-mul-1
25×associate-/r/
15×associate-/l*
13×div-inv
12×flip3-+ flip-+
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
2×pow1 frac-2neg div-sub clear-num associate-/l/ add-log-exp
1×neg-sub0 flip3-- distribute-frac-neg flip--
Counts
2 → 359
Calls
2 calls:
58.0ms
(/ (- f n) (+ f n))
71.0ms
(/ (- 1) (/ (- f n) (+ f n)))

series240.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(/ (- f n) (+ f n))
120.0ms
(/ (- 1) (/ (- f n) (+ f n)))

simplify1.1s

Counts
365 → 365
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03987509
112436222
done50006113

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize51.0ms

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))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
16×*-un-lft-identity
10×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+ distribute-lft-out
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 57
Calls
4 calls:
8.0ms
(cbrt (- f n))
8.0ms
(cbrt (+ f n))
8.0ms
(cbrt (+ f n))
19.0ms
(cbrt (+ f n))

series979.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt (- f n))
232.0ms
(cbrt (+ f n))
237.0ms
(cbrt (+ f n))
241.0ms
(cbrt (+ f n))

simplify1.9s

Counts
69 → 69
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0102669
1223638
2620606
32205580
done5002550

prune561.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -1 (- f n))
0.1b
(* (/ -1 (- f n)) (+ n f))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×pow1 associate-*r* associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out
Counts
2 → 84
Calls
2 calls:
25.0ms
(/ -1 (- f n))
93.0ms
(* (/ -1 (- f n)) (+ n f))

series199.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ -1 (- f n))
126.0ms
(* (/ -1 (- f n)) (+ n f))

simplify1.6s

Counts
90 → 90
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0133974
1466934
21836843
done5000836

prune506.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0810
1149
done149

end0.0ms

sample965.0ms

Algorithm
intervals
Results
548.0ms8000×body80valid