Details

Time bar (total: 11.5s)

sample82.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite82.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
69.0ms
(/ (- (+ f n)) (- f n))

series125.0ms

Counts
1 → 3
Calls
1 calls:
125.0ms
(/ (- (+ f n)) (- f n))

simplify854.0ms

Counts
100 → 100
Iterations

Useful iterations: done (850.0ms)

IterNodesCost
01351469
13161395
210801367
done50011358

prune418.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

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))

rewrite200.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u 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 → 402
Calls
3 calls:
57.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
43.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
50.0ms
(/ (- (+ f n)) (- f n))

series349.0ms

Counts
3 → 9
Calls
3 calls:
147.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
106.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
96.0ms
(/ (- (+ f n)) (- f n))

simplify740.0ms

Counts
411 → 411
Iterations

Useful iterations: done (711.0ms)

IterNodesCost
03248171
112656869
done50016448

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

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))

rewrite242.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u 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 → 402
Calls
3 calls:
80.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
67.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
41.0ms
(/ (- (+ f n)) (- f n))

series350.0ms

Counts
3 → 9
Calls
3 calls:
182.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
97.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
72.0ms
(/ (- (+ f n)) (- f n))

simplify794.0ms

Counts
411 → 411
Iterations

Useful iterations: done (767.0ms)

IterNodesCost
03248171
112656869
done50016448

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite133.0ms

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 expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u 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 → 103
Calls
2 calls:
15.0ms
(/ 1 (- f n))
113.0ms
(* (- (+ f n)) (/ 1 (- f n)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ 1 (- f n))
92.0ms
(* (- (+ f n)) (/ 1 (- f n)))

simplify3.2s

Counts
109 → 109
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01361201
13861043
22430898
done5000884

prune435.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes132.0ms

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: 1 (1.0ms)

IterNodesCost
01113
12011
22211
done2211

end0.0ms

sample737.0ms

Algorithm
intervals
Results
432.0ms8000×body80valid