Details

Time bar (total: 8.9s)

sample314.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

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:
33.0ms
(/ (- (+ f n)) (- f n))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (- (+ f n)) (- f n))

simplify2.4s

Counts
98 → 98
Iterations

Useful iterations: 3 (342.0ms)

IterNodesCost
01331451
12871378
26901348
318251340
447161340
done50011340

prune156.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite134.0ms

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:
39.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
32.0ms
(/ (- (+ f n)) (- f n))
37.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series258.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
68.0ms
(/ (- (+ f n)) (- f n))
81.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify1.1s

Counts
405 → 405
Iterations

Useful iterations: 2 (467.0ms)

IterNodesCost
03188107
19446800
228586258
done50006258

prune414.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- f n))
0.0b
(cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))
0.0b
(pow (* (- (+ f n)) (/ 1 (- f n))) 3)
0.2b
(* (- (+ f n)) (/ 1 (- f n)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
47×*-un-lft-identity
32×times-frac
28×add-cube-cbrt
27×add-exp-log
21×associate-*r*
17×add-cbrt-cube
12×cube-div associate-*l* distribute-neg-frac
10×pow1
8×cbrt-prod prod-exp
7×distribute-lft-out-- difference-of-squares
6×frac-times cbrt-div flip3-+ div-exp associate-*l/ flip-+
5×pow-exp associate-/r*
4×distribute-lft-neg-in distribute-rgt-neg-in associate-/r/ cbrt-unprod add-log-exp
3×cbrt-undiv rec-exp pow-unpow 1-exp associate-*r/ un-div-inv associate-/l* rem-cube-cbrt unswap-sqr
2×distribute-lft-neg-out cube-mult unpow-prod-down flip3-- pow-pow unpow3 cube-prod pow-prod-down flip-- div-inv distribute-lft-out sqr-pow
1×pow-to-exp neg-mul-1 pow-flip frac-2neg pow1/3 cube-neg clear-num *-commutative rem-cbrt-cube inv-pow
Counts
4 → 155
Calls
4 calls:
12.0ms
(/ 1 (- f n))
4.0ms
(cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))
24.0ms
(pow (* (- (+ f n)) (/ 1 (- f n))) 3)
61.0ms
(* (- (+ f n)) (/ 1 (- f n)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ 1 (- f n))
106.0ms
(cbrt (pow (* (- (+ f n)) (/ 1 (- f n))) 3))
77.0ms
(pow (* (- (+ f n)) (/ 1 (- f n))) 3)
70.0ms
(* (- (+ f n)) (/ 1 (- f n)))

simplify852.0ms

Counts
167 → 167
Iterations

Useful iterations: done (848.0ms)

IterNodesCost
01902154
14911606
216201519
done50021491

prune305.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
192×*-un-lft-identity
160×add-sqr-sqrt
154×times-frac
149×sqrt-prod
82×add-cube-cbrt
81×associate-*r*
48×distribute-lft-neg-in distribute-rgt-neg-in
31×distribute-lft-out-- difference-of-squares
24×distribute-lft-out
15×associate-*l* associate-/l*
12×neg-mul-1
9×add-exp-log add-cbrt-cube
6×sqrt-div distribute-neg-frac unswap-sqr
5×associate-/r*
4×pow1 associate-/r/
3×flip3-+ flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 231
Calls
2 calls:
118.0ms
(* (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)))
35.0ms
(/ (sqrt (- (+ f n))) (- f n))

series184.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)))
104.0ms
(/ (sqrt (- (+ f n))) (- f n))

simplify1.2s

Counts
237 → 237
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02704193
15743664
217123506
done50003452

prune380.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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
01113
12013
22513
32813
done2813

end0.0ms

sample336.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid