Details

Time bar (total: 12.3s)

sample93.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify101.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6328
done328

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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:
36.0ms
(/ (- (+ f n)) (- f n))

series113.0ms

Counts
1 → 3
Calls
1 calls:
113.0ms
(/ (- (+ f n)) (- f n))

simplify554.0ms

Counts
98 → 98
Iterations

Useful iterations: done (550.0ms)

IterNodesCost
01331451
13111378
210601348
done50001341

prune270.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- f n))
0.2b
(* (- (+ f n)) (/ 1 (- f n)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
43×*-un-lft-identity
32×times-frac
24×add-cube-cbrt
21×associate-*r*
15×add-exp-log
12×associate-*l*
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×distribute-lft-neg-in distribute-rgt-neg-in div-exp prod-exp associate-/r/ distribute-neg-frac
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv distribute-lft-out add-log-exp
1×distribute-lft-neg-out neg-mul-1 pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 99
Calls
2 calls:
13.0ms
(/ 1 (- f n))
85.0ms
(* (- (+ f n)) (/ 1 (- f n)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (- f n))
94.0ms
(* (- (+ f n)) (/ 1 (- f n)))

simplify3.0s

Counts
105 → 105
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01321167
13811010
22362869
done5000855

prune264.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ f n))
0.1b
(/ (/ 1 (+ f n)) (- f n))
0.2b
(* (- (+ f n)) (* (/ (/ 1 (+ f n)) (- f n)) (+ f n)))
27.4b
(* (/ (/ 1 (+ f n)) (- f n)) (+ f n))

rewrite428.0ms

Algorithm
rewrite-expression-head
Rules
329×times-frac
298×*-un-lft-identity
229×add-sqr-sqrt
143×add-cube-cbrt
108×associate-*l*
54×add-exp-log
40×distribute-lft-out
37×distribute-lft-out-- difference-of-squares
34×add-cbrt-cube
28×associate-/r/
26×flip3-+ flip-+
21×associate-/l*
20×div-exp
18×frac-times
16×prod-exp
14×div-inv
13×associate-*r/
12×pow1 distribute-neg-frac
10×cbrt-undiv cbrt-unprod
9×associate-/r*
6×associate-*l/
5×distribute-rgt-in distribute-lft-in associate-*r*
4×distribute-lft-neg-in rec-exp distribute-rgt-neg-in 1-exp pow-prod-down add-log-exp unswap-sqr
2×flip3-- frac-2neg clear-num *-commutative flip--
1×distribute-lft-neg-out neg-mul-1 pow-flip associate-/l/ inv-pow
Counts
4 → 352
Calls
4 calls:
25.0ms
(/ 1 (+ f n))
62.0ms
(/ (/ 1 (+ f n)) (- f n))
186.0ms
(* (- (+ f n)) (* (/ (/ 1 (+ f n)) (- f n)) (+ f n)))
120.0ms
(* (/ (/ 1 (+ f n)) (- f n)) (+ f n))

series317.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ 1 (+ f n))
87.0ms
(/ (/ 1 (+ f n)) (- f n))
104.0ms
(* (- (+ f n)) (* (/ (/ 1 (+ f n)) (- f n)) (+ f n)))
61.0ms
(* (/ (/ 1 (+ f n)) (- f n)) (+ f n))

simplify997.0ms

Counts
364 → 364
Iterations

Useful iterations: done (980.0ms)

IterNodesCost
03686475
115555882
done50025471

prune984.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (- (- f) n) (- f n)))
0.0b
(* (sqrt (/ (- (- f) n) (- f n))) (sqrt (/ (- (- f) n) (- f n))))
0.0b
(/ (- (- f) n) (- f n))
0.0b
(/ (- (- f) n) (- f n))

rewrite398.0ms

Algorithm
rewrite-expression-head
Rules
598×*-un-lft-identity
335×add-sqr-sqrt
325×times-frac
302×sqrt-prod
218×distribute-lft-out--
110×add-cube-cbrt
97×difference-of-squares
95×swap-sqr
69×distribute-rgt-neg-in
39×associate-*r* associate-*l*
20×pow1
14×associate-/r/
12×associate-/l*
10×add-exp-log associate-/r* add-cbrt-cube
9×flip3-- sqrt-pow1 pow1/2 flip-- unswap-sqr
7×div-inv
5×sqrt-div pow-prod-up
4×associate-/l/ add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg div-sub div-exp clear-num
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 374
Calls
4 calls:
32.0ms
(sqrt (/ (- (- f) n) (- f n)))
210.0ms
(* (sqrt (/ (- (- f) n) (- f n))) (sqrt (/ (- (- f) n) (- f n))))
49.0ms
(/ (- (- f) n) (- f n))
56.0ms
(/ (- (- f) n) (- f n))

series866.0ms

Counts
4 → 12
Calls
4 calls:
443.0ms
(sqrt (/ (- (- f) n) (- f n)))
184.0ms
(* (sqrt (/ (- (- f) n) (- f n))) (sqrt (/ (- (- f) n) (- f n))))
125.0ms
(/ (- (- f) n) (- f n))
114.0ms
(/ (- (- f) n) (- f n))

simplify1.8s

Counts
386 → 386
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02568575
15135850
226005635
done50025582

prune998.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes76.0ms

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: 0 (0.0ms)

IterNodesCost
068
1128
2138
done138

end0.0ms

sample698.0ms

Algorithm
intervals
Results
419.0ms8000×body80valid