Details

Time bar (total: 11.7s)

sample256.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6318
done318

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:
19.0ms
(/ (- (+ f n)) (- f n))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (- (+ f n)) (- f n))

simplify2.9s

Counts
98 → 98
Iterations

Useful iterations: 3 (420.0ms)

IterNodesCost
01331451
12901378
26861348
318971340
447091340
done50001340

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ f n))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×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-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 59
Calls
4 calls:
2.0ms
(cbrt (+ f n))
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))

series552.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(cbrt (+ f n))
139.0ms
(cbrt (- f n))
142.0ms
(cbrt (- f n))
146.0ms
(cbrt (- f n))

simplify2.2s

Counts
71 → 71
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
0102719
1222698
2491666
31175628
43849577
done5000577

prune212.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
109×*-un-lft-identity
89×add-sqr-sqrt
72×times-frac
61×sqrt-prod
49×add-cube-cbrt
41×associate-*r*
18×associate-*l*
15×distribute-lft-out distribute-lft-out-- difference-of-squares
11×add-exp-log add-cbrt-cube
10×sqrt-div
8×pow1
7×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
5×flip3-+ associate-/r* flip-+
4×associate-/r/ distribute-neg-frac add-log-exp
3×unswap-sqr
2×cbrt-undiv frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/
1×distribute-lft-neg-out neg-mul-1 frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 176
Calls
4 calls:
4.0ms
(sqrt (+ f n))
4.0ms
(sqrt (+ f n))
11.0ms
(/ (sqrt (+ f n)) (- f n))
55.0ms
(* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(sqrt (+ f n))
40.0ms
(sqrt (+ f n))
69.0ms
(/ (sqrt (+ f n)) (- f n))
78.0ms
(* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))

simplify1.2s

Counts
188 → 188
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02042780
15282382
217372264
done50002257

prune325.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ f n))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×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-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 59
Calls
4 calls:
2.0ms
(cbrt (+ f n))
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))

series571.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (+ f n))
145.0ms
(cbrt (- f n))
150.0ms
(cbrt (- f n))
145.0ms
(cbrt (- f n))

simplify2.2s

Counts
71 → 71
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
0102719
1222698
2491666
31175628
43849577
done5000577

prune261.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1128
2138
done138

end0.0ms

sample292.0ms

Algorithm
intervals
Results
162.0ms8000×body80valid