Details

Time bar (total: 12.2s)

sample126.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify360.0ms

Calls
1 calls:
Slowest
359.0ms
(/ (- (+ f n)) (- f n))

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))

rewrite9.0ms

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 expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp distribute-frac-neg flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Calls
1 calls:
Slowest
7.0ms
(/ (- (+ f n)) (- f n))

series43.0ms

Calls
1 calls:
Slowest
43.0ms
(/ (- (+ f n)) (- f n))

simplify2.2s

Calls
81 calls:
Slowest
263.0ms
(- (- (* f f) (* n n)))
153.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
87.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
81.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
72.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)

prune480.0ms

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)))

rewrite8.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg flip3-+ flip-+ insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv flip3-- div-sub div-exp flip--
Calls
2 calls:
Slowest
6.0ms
(/ (- f n) (+ f n))
1.0ms
(/ -1 (/ (- f n) (+ f n)))

series82.0ms

Calls
2 calls:
Slowest
50.0ms
(/ -1 (/ (- f n) (+ f n)))
32.0ms
(/ (- f n) (+ f n))

simplify1.1s

Calls
52 calls:
Slowest
117.0ms
(/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))
107.0ms
(+ (* f f) (- (* n n) (* f n)))
93.0ms
(+ (* f f) (- (* n n) (* f n)))
44.0ms
(/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))
37.0ms
(/ (* (cbrt (- f n)) (cbrt (- f n))) 1)

prune547.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(expm1 (/ -1 (/ (- f n) (+ f n))))
0.0b
(/ (- f n) (+ f n))
0.0b
(log1p (expm1 (/ -1 (/ (- f n) (+ f n)))))
0.0b
(/ -1 (/ (- f n) (+ f n)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r* times-frac
6×add-cbrt-cube add-exp-log
5×associate-/r/ log1p-expm1-u
4×expm1-log1p-u pow1 insert-posit16 add-log-exp
3×div-inv associate-/l*
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- div-sub div-exp log1p-expm1 flip-- expm1-udef
Calls
4 calls:
Slowest
3.0ms
(/ (- f n) (+ f n))
1.0ms
(/ -1 (/ (- f n) (+ f n)))
0.0ms
(expm1 (/ -1 (/ (- f n) (+ f n))))
0.0ms
(log1p (expm1 (/ -1 (/ (- f n) (+ f n)))))

series272.0ms

Calls
4 calls:
Slowest
96.0ms
(expm1 (/ -1 (/ (- f n) (+ f n))))
90.0ms
(log1p (expm1 (/ -1 (/ (- f n) (+ f n)))))
52.0ms
(/ -1 (/ (- f n) (+ f n)))
34.0ms
(/ (- f n) (+ f n))

simplify1.2s

Calls
59 calls:
Slowest
142.0ms
(+ (* f f) (- (* n n) (* f n)))
128.0ms
(/ -1 (/ (- f n) (+ f n)))
111.0ms
(+ (* f f) (- (* n n) (* f n)))
100.0ms
(/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))
36.0ms
(/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))

prune853.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

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×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u 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))

series584.0ms

Calls
4 calls:
Slowest
161.0ms
(cbrt (- f n))
154.0ms
(cbrt (+ f n))
135.0ms
(cbrt (- f n))
134.0ms
(cbrt (- f n))

simplify2.5s

Calls
32 calls:
Slowest
386.0ms
(- (+ (* 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))))
326.0ms
(- (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))))
311.0ms
(- (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))))
302.0ms
(- (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))))
243.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 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

bsearch1.0ms

end0.0ms

sample714.0ms

Algorithm
intervals
Results
562.0ms8000×body80valid