Details

Time bar (total: 9.7s)

sample97.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify43.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite91.0ms

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:
79.0ms
(/ (- (+ f n)) (- f n))

series123.0ms

Counts
1 → 3
Calls
1 calls:
123.0ms
(/ (- (+ f n)) (- f n))

simplify1.1s

Counts
98 → 98

prune220.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- f n))
0.1b
(* (- (+ f n)) (/ 1 (- f n)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
43×*-un-lft-identity
32×times-frac
24×add-cube-cbrt
21×associate-*r*
15×add-exp-log
12×associate-*l*
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×distribute-lft-neg-in distribute-rgt-neg-in div-exp prod-exp associate-/r/ distribute-neg-frac
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv distribute-lft-out add-log-exp
1×distribute-lft-neg-out neg-mul-1 pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 99
Calls
2 calls:
13.0ms
(/ 1 (- f n))
100.0ms
(* (- (+ f n)) (/ 1 (- f n)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ 1 (- f n))
95.0ms
(* (- (+ f n)) (/ 1 (- f n)))

simplify835.0ms

Counts
105 → 105

prune205.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))
0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
456×times-frac
326×add-sqr-sqrt *-un-lft-identity
305×cbrt-prod
204×add-cube-cbrt
61×distribute-lft-out-- difference-of-squares
30×associate-/l*
26×cbrt-div
20×associate-/r/
13×add-exp-log flip3-- flip--
10×div-inv
8×associate-/r*
7×pow1
6×div-exp add-cbrt-cube
5×pow1/3
4×add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
Counts
4 → 345
Calls
4 calls:
71.0ms
(/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))
7.0ms
(cbrt (- f n))
4.0ms
(cbrt (- f n))
5.0ms
(cbrt (- f n))

series800.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))
180.0ms
(cbrt (- f n))
210.0ms
(cbrt (- f n))
238.0ms
(cbrt (- f n))

simplify1.3s

Counts
357 → 357

prune847.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- f n))
0.2b
(/ -1 (sqrt (- f n)))
0.2b
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
0.2b
(/ (+ f n) (sqrt (- f n)))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
141×*-un-lft-identity
138×add-sqr-sqrt
124×times-frac
91×sqrt-prod
73×add-cube-cbrt
38×associate-*r*
30×associate-*l*
20×add-exp-log add-cbrt-cube
17×distribute-lft-out distribute-lft-out-- difference-of-squares
16×associate-/r*
10×sqrt-div
9×unswap-sqr
8×associate-/r/
7×pow1 associate-/l*
6×cbrt-undiv div-exp
5×flip3-- flip--
4×prod-exp cbrt-unprod div-inv add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 223
Calls
4 calls:
12.0ms
(sqrt (- f n))
23.0ms
(/ -1 (sqrt (- f n)))
146.0ms
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
57.0ms
(/ (+ f n) (sqrt (- f n)))

series539.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(sqrt (- f n))
118.0ms
(/ -1 (sqrt (- f n)))
93.0ms
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
226.0ms
(/ (+ f n) (sqrt (- f n)))

simplify1.3s

Counts
235 → 235

prune714.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify48.0ms

end0.0ms

sample691.0ms

Algorithm
intervals
Results
397.0ms8000×body80valid