Details

Time bar (total: 11.9s)

sample85.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify64.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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-cbrt-cube add-exp-log
2×associate-/r/ distribute-neg-frac associate-/l/
1×neg-sub0 pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp distribute-frac-neg flip-+ insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 96
Calls
1 calls:
Slowest
20.0ms
(/ (- (+ f n)) (- f n))

series100.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
99.0ms
(/ (- (+ f n)) (- f n))

simplify855.0ms

Counts
99 → 99

prune677.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 170
Calls
2 calls:
Slowest
14.0ms
(/ (- f n) (+ f n))
12.0ms
(/ -1 (/ (- f n) (+ f n)))

series226.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
115.0ms
(/ -1 (/ (- f n) (+ f n)))
110.0ms
(/ (- f n) (+ f n))

simplify793.0ms

Counts
176 → 176

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)) (cbrt (- f n)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
Slowest
37.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))

series822.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
221.0ms
(cbrt (- f n))
213.0ms
(cbrt (- f n))
203.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
186.0ms
(cbrt (- f n))

simplify1.0s

Counts
117 → 117

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (sqrt (- (+ f n))) (- f n))
0.1b
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
230×*-un-lft-identity
217×times-frac
214×add-sqr-sqrt
179×sqrt-prod
106×add-cube-cbrt
81×associate-*r*
56×distribute-lft-neg-in distribute-rgt-neg-in
49×associate-*l*
31×distribute-lft-out-- difference-of-squares
28×distribute-lft-out
21×add-exp-log
16×add-cbrt-cube
15×associate-/l* unswap-sqr
14×neg-mul-1
8×div-exp
6×prod-exp
5×cbrt-undiv associate-/r*
4×pow1 associate-/r/ cbrt-unprod
3×div-inv
2×flip3-- sqrt-div 1-exp insert-posit16 flip-- distribute-neg-frac add-log-exp associate-/l/
1×frac-times clear-num frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
2 → 280
Calls
2 calls:
Slowest
64.0ms
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))
24.0ms
(/ (sqrt (- (+ f n))) (- f n))

series267.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
144.0ms
(/ (sqrt (- (+ f n))) (- f n))
124.0ms
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))

simplify1.2s

Counts
286 → 286

prune2.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample764.0ms

Algorithm
intervals
Results
588.0ms8000×body80valid