Details

Time bar (total: 17.4s)

sample127.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify68.0ms

Calls
1 calls:
Slowest
67.0ms
(/ (- (+ f n)) (- f n))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
4×neg-mul-1
3×associate-/r* 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
Calls
1 calls:
Slowest
13.0ms
(/ (- (+ f n)) (- f n))

series79.0ms

Calls
1 calls:
Slowest
79.0ms
(/ (- (+ f n)) (- f n))

simplify1.9s

Calls
81 calls:
Slowest
221.0ms
(- (- (* f f) (* n n)))
186.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
86.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
71.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
61.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))

prune463.0ms

Pruning

3 alts after pruning (2 fresh and 1 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)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-/r* times-frac
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×associate-/r/
4×add-cbrt-cube add-exp-log
3×div-inv associate-/l*
2×pow1 clear-num frac-2neg flip3-+ flip-+ insert-posit16 add-log-exp associate-/l/
1×cbrt-undiv flip3-- div-sub div-exp flip--
Calls
2 calls:
Slowest
5.0ms
(/ (- f n) (+ f n))
1.0ms
(/ -1 (/ (- f n) (+ f n)))

series75.0ms

Calls
2 calls:
Slowest
42.0ms
(/ -1 (/ (- f n) (+ f n)))
33.0ms
(/ (- f n) (+ f n))

simplify914.0ms

Calls
52 calls:
Slowest
106.0ms
(/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))
96.0ms
(+ (* f f) (- (* n n) (* f n)))
69.0ms
(+ (* f f) (- (* n n) (* f n)))
62.0ms
(/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))
33.0ms
(/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))

prune526.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
115×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
72×cbrt-prod
54×distribute-lft-neg-in distribute-rgt-neg-in
39×associate-*r* associate-*l*
30×associate-/l*
18×neg-mul-1
12×add-exp-log
10×add-cbrt-cube associate-/r/
9×pow1 associate-/r*
6×distribute-neg-frac associate-/l/
5×flip3-- div-inv flip--
4×cbrt-div pow1/3 insert-posit16 add-log-exp
3×neg-sub0 cbrt-undiv clear-num frac-2neg flip3-+ div-sub div-exp distribute-frac-neg flip-+
2×pow-prod-down pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
10.0ms
(/ (- (+ f n)) (- f n))
9.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
8.0ms
(/ (- (+ f n)) (- f n))
7.0ms
(/ (- (+ f n)) (- f n))

series372.0ms

Calls
4 calls:
Slowest
223.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
56.0ms
(/ (- (+ f n)) (- f n))
52.0ms
(/ (- (+ f n)) (- f n))
40.0ms
(/ (- (+ f n)) (- f n))

simplify8.8s

Calls
336 calls:
Slowest
254.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
235.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
234.0ms
(- (- (* f f) (* n n)))
209.0ms
(- (- (* f f) (* n n)))
206.0ms
(- (- (* f f) (* n n)))

prune3.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample711.0ms

Algorithm
intervals
Results
502.0ms8000×body80valid