Details

Time bar (total: 27.0s)

sample80.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify98.0ms

Calls
1 calls:
Slowest
97.0ms
(/ (- (+ f n)) (- f n))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))

series216.0ms

Calls
1 calls:
Slowest
216.0ms
(/ (- (+ f n)) (- f n))

simplify2.4s

Calls
81 calls:
Slowest
280.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
223.0ms
(- (- (* f f) (* n n)))
146.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
118.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
106.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))

prune461.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

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))

rewrite6.0ms

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))

series800.0ms

Calls
4 calls:
Slowest
235.0ms
(cbrt (- f n))
218.0ms
(cbrt (- f n))
188.0ms
(cbrt (- f n))
158.0ms
(cbrt (+ f n))

simplify2.3s

Calls
32 calls:
Slowest
328.0ms
(- (+ (* 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))))
277.0ms
(- (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))))
241.0ms
(- (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))))
238.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
219.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))

prune700.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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
11.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
10.0ms
(/ (- (+ f n)) (- f n))
10.0ms
(/ (- (+ f n)) (- f n))
10.0ms
(/ (- (+ f n)) (- f n))

series549.0ms

Calls
4 calls:
Slowest
229.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
124.0ms
(/ (- (+ f n)) (- f n))
115.0ms
(/ (- (+ f n)) (- f n))
81.0ms
(/ (- (+ f n)) (- f n))

simplify9.7s

Calls
336 calls:
Slowest
485.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
305.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
285.0ms
(- (- (* f f) (* n n)))
242.0ms
(- (- (* f f) (* n n)))
234.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))

prune3.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
70×sqrt-prod
59×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
45×associate-*r*
21×distribute-lft-neg-in distribute-rgt-neg-in
13×associate-/l*
9×add-cbrt-cube add-exp-log
7×neg-mul-1
4×pow1 associate-*l* associate-/r/
3×associate-/r* div-inv
2×cbrt-undiv flip3-- sqrt-div div-exp prod-exp cbrt-unprod 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-+
Calls
2 calls:
Slowest
19.0ms
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))
12.0ms
(/ (sqrt (- (+ f n))) (- f n))

series237.0ms

Calls
2 calls:
Slowest
122.0ms
(/ (sqrt (- (+ f n))) (- f n))
116.0ms
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))

simplify4.0s

Calls
162 calls:
Slowest
472.0ms
(* (* (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1)) (/ (sqrt (- (+ f n))) 1)) (* (* (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (- f n))) (/ (sqrt (- (+ f n))) (- f n))))
277.0ms
(/ (* (* (sqrt (- (+ f n))) (sqrt (- (+ f n)))) (sqrt (- (+ f n)))) (* (* (- f n) (- f n)) (- f n)))
201.0ms
(* (* (* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) 1)) (/ (sqrt (- (+ f n))) 1)) (/ (* (* (sqrt (- (+ f n))) (sqrt (- (+ f n)))) (sqrt (- (+ f n)))) (* (* (- f n) (- f n)) (- f n))))
165.0ms
(sqrt (- (- (* f f) (* n n))))
118.0ms
(+ (log (/ (sqrt (- (+ f n))) 1)) (- (log (sqrt (- (+ f n)))) (log (- f n))))

prune1.2s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample767.0ms

Algorithm
intervals
Results
639.0ms8000×body80valid