Details

Time bar (total: 16.5s)

sample68.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify60.0ms

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: 0.1b

localize38.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (+ f n)) (- f n))

rewrite79.0ms

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:
67.0ms
(/ (- (+ f n)) (- f n))

series110.0ms

Counts
1 → 3
Calls
1 calls:
109.0ms
(/ (- (+ f n)) (- f n))

simplify4.1s

Counts
98 → 98
Iterations

Useful iterations: 3 (621.0ms)

IterNodesCost
01331451
12871378
26901348
318251340
447161340
done50011340

prune196.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (/ (- (+ f n)) (- f n)))
0.0b
(log (exp (/ (- (+ f n)) (- f n))))
0.1b
(/ (- (+ f n)) (- f n))

rewrite220.0ms

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:
90.0ms
(exp (/ (- (+ f n)) (- f n)))
63.0ms
(log (exp (/ (- (+ f n)) (- f n))))
44.0ms
(/ (- (+ f n)) (- f n))

series317.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(exp (/ (- (+ f n)) (- f n)))
93.0ms
(log (exp (/ (- (+ f n)) (- f n))))
104.0ms
(/ (- (+ f n)) (- f n))

simplify2.1s

Counts
261 → 261
Iterations

Useful iterations: 3 (603.0ms)

IterNodesCost
02413236
14032862
28582790
321772768
done50002768

prune753.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
0.1b
(/ (- (+ f n)) (- f n))
0.1b
(pow (/ (- (+ f n)) (- f n)) 3)

rewrite222.0ms

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:
52.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
60.0ms
(/ (- (+ f n)) (- f n))
69.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series304.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
85.0ms
(/ (- (+ f n)) (- f n))
90.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify2.0s

Counts
405 → 405
Iterations

Useful iterations: 2 (759.0ms)

IterNodesCost
03188107
19446800
228586258
done50006258

prune762.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

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)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
41×cbrt-prod
28×*-un-lft-identity
16×add-sqr-sqrt
14×add-cube-cbrt
12×distribute-lft-neg-in distribute-rgt-neg-in
8×cbrt-div
6×distribute-neg-frac distribute-lft-out
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×neg-mul-1 flip3-+ flip-+
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 81
Calls
4 calls:
17.0ms
(cbrt (- f n))
16.0ms
(cbrt (- (+ f n)))
15.0ms
(cbrt (- (+ f n)))
16.0ms
(cbrt (- (+ f n)))

series876.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt (- f n))
196.0ms
(cbrt (- (+ f n)))
213.0ms
(cbrt (- (+ f n)))
228.0ms
(cbrt (- (+ f n)))

simplify3.7s

Counts
93 → 93
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0123990
1256953
2549915
31282886
43778836
done5000833

prune491.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes3.0ms