Details

Time bar (total: 27.4s)

sample153.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify114.0ms

Calls
1 calls:
Slowest
114.0ms
(/ (- (+ f n)) (- f n))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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))

series62.0ms

Calls
1 calls:
Slowest
62.0ms
(/ (- (+ f n)) (- f n))

simplify2.9s

Calls
81 calls:
Slowest
1.2s
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
190.0ms
(- (- (* f f) (* n n)))
128.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
59.0ms
(/ (- (+ f n)) (sqrt (- f n)))
57.0ms
(/ (- (+ f n)) (sqrt (- f n)))

prune505.0ms

Pruning

4 alts after pruning (3 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)))

rewrite9.0ms

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
6.0ms
(/ (- f n) (+ f n))
2.0ms
(/ -1 (/ (- f n) (+ f n)))

series92.0ms

Calls
2 calls:
Slowest
52.0ms
(/ (- f n) (+ f n))
40.0ms
(/ -1 (/ (- f n) (+ f n)))

simplify895.0ms

Calls
52 calls:
Slowest
119.0ms
(/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))
79.0ms
(+ (* f f) (- (* n n) (* f n)))
73.0ms
(+ (* f f) (- (* n n) (* f n)))
37.0ms
(/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))
34.0ms
(/ (* (cbrt (- f n)) (cbrt (- f n))) 1)

prune577.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

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))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt cbrt-div *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
3×flip3-- flip--
1×flip3-+ flip-+
Calls
4 calls:
Slowest
1.0ms
(cbrt (- f n))
1.0ms
(cbrt (- f n))
1.0ms
(cbrt (- f n))
1.0ms
(cbrt (+ f n))

series582.0ms

Calls
4 calls:
Slowest
158.0ms
(cbrt (- f n))
153.0ms
(cbrt (+ f n))
146.0ms
(cbrt (- f n))
124.0ms
(cbrt (- f n))

simplify2.2s

Calls
32 calls:
Slowest
274.0ms
(- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f))))
261.0ms
(- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f))))
261.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
238.0ms
(- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2))))
230.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))

prune766.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

32.1b
(/ (- (+ f n)) (- (* f f) (* n n)))
3.2b
(- (* f f) (* n n))
0.2b
(* (/ (- (+ f n)) (- (* f f) (* n n))) (+ f n))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
53×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×associate-*l*
27×distribute-lft-neg-in distribute-rgt-neg-in
22×difference-of-squares
10×add-cbrt-cube add-exp-log associate-/l*
9×neg-mul-1
5×pow1 add-log-exp
4×associate-/r* associate-/r/
3×flip3-+ flip3-- associate-*r* flip-+ insert-posit16 flip--
2×frac-times cbrt-undiv div-exp prod-exp associate-*r/ distribute-frac-neg cbrt-unprod div-inv distribute-neg-frac associate-/l/
1×distribute-lft-neg-out neg-sub0 distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in diff-log div-sub pow-prod-down associate-*l/ *-commutative
Calls
3 calls:
Slowest
21.0ms
(* (/ (- (+ f n)) (- (* f f) (* n n))) (+ f n))
7.0ms
(/ (- (+ f n)) (- (* f f) (* n n)))
7.0ms
(- (* f f) (* n n))

series117.0ms

Calls
3 calls:
Slowest
62.0ms
(* (/ (- (+ f n)) (- (* f f) (* n n))) (+ f n))
39.0ms
(/ (- (+ f n)) (- (* f f) (* n n)))
16.0ms
(- (* f f) (* n n))

simplify16.1s

Calls
174 calls:
Slowest
667.0ms
(* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- (* f f) (* n n)) (- (* f f) (* n n))) (- (* f f) (* n n)))) (* (* (+ f n) (+ f n)) (+ f n)))
530.0ms
(* (- (* f f) (* n n)) (+ (* f f) (- (* n n) (* f n))))
404.0ms
(* (* (* (/ (- (+ f n)) (- (* f f) (* n n))) (/ (- (+ f n)) (- (* f f) (* n n)))) (/ (- (+ f n)) (- (* f f) (* n n)))) (* (* (+ f n) (+ f n)) (+ f n)))
322.0ms
(* n (/ (- (+ f n)) (- (* f f) (* n n))))
317.0ms
(/ (- (+ f n)) (- (pow (* f f) 3) (pow (* n n) 3)))

prune1.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample689.0ms

Algorithm
intervals
Results
569.0ms8000×body80valid