Details

Time bar (total: 14.0s)

sample93.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify67.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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:
37.0ms
(/ (- (+ f n)) (- f n))

series145.0ms

Counts
1 → 3
Calls
1 calls:
145.0ms
(/ (- (+ f n)) (- f n))

simplify3.7s

Counts
98 → 98
Iterations

Useful iterations: 3 (424.0ms)

IterNodesCost
01331451
12871378
26901348
318251340
447161340
done50011340

prune198.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
500×times-frac
424×*-un-lft-identity
302×add-sqr-sqrt
204×add-cube-cbrt
81×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out
49×distribute-lft-out-- difference-of-squares
30×associate-/r*
27×neg-mul-1
25×associate-/r/
15×associate-/l*
13×div-inv
12×flip3-+ flip-+
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
2×pow1 frac-2neg div-sub clear-num associate-/l/ add-log-exp
1×neg-sub0 flip3-- distribute-frac-neg flip--
Counts
2 → 359
Calls
2 calls:
30.0ms
(/ (- 1) (/ (- f n) (+ f n)))
34.0ms
(/ (- f n) (+ f n))

series179.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(/ (- 1) (/ (- f n) (+ f n)))
81.0ms
(/ (- f n) (+ f n))

simplify1.8s

Counts
365 → 365
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03987509
19766196
224105819
done50015739

prune479.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
109×add-sqr-sqrt
105×times-frac
86×associate-*r*
69×sqrt-prod
61×add-cube-cbrt
41×distribute-lft-neg-in distribute-rgt-neg-in
22×distribute-lft-out-- difference-of-squares
17×distribute-lft-out
7×associate-*l* associate-/l*
6×add-exp-log sqrt-div associate-/r/ add-cbrt-cube
5×associate-/r*
4×pow1
3×flip3-- flip3-+ flip-- flip-+ div-inv distribute-neg-frac
2×frac-times associate-*l/ associate-/l/ add-log-exp unswap-sqr
1×cbrt-undiv neg-mul-1 frac-2neg associate-*r/ div-exp pow-prod-down prod-exp clear-num *-commutative distribute-rgt-neg-out cbrt-unprod
Counts
2 → 175
Calls
2 calls:
151.0ms
(* (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))))
34.0ms
(/ (sqrt (+ f n)) (- f n))

series233.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(* (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))))
134.0ms
(/ (sqrt (+ f n)) (- f n))

simplify1.9s

Counts
181 → 181
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02292853
15142417
216302357
done50002341

prune446.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite317.0ms

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:
71.0ms
(/ (sqrt (- (+ f n))) (- f n))
224.0ms
(* (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)))

series283.0ms

Counts
2 → 6
Calls
2 calls:
175.0ms
(/ (sqrt (- (+ f n))) (- f n))
107.0ms
(* (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)))

simplify2.1s

Counts
237 → 237
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02704193
15743664
217153506
done50003452

prune519.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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: 1 (2.0ms)

IterNodesCost
0810
1149
done149

end0.0ms

sample1.0s

Algorithm
intervals
Results
732.0ms8000×body80valid