Details

Time bar (total: 27.4s)

sample158.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify155.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
154.0ms
(/ (- (+ f n)) (- f n))

prune19.0ms

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))

rewrite127.0ms

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-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
Counts
1 → 96
Calls
1 calls:
Slowest
118.0ms
(/ (- (+ f n)) (- f n))

series124.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
124.0ms
(/ (- (+ f n)) (- f n))

simplify3.4s

Counts
144 → 99
Calls
144 calls:
Slowest
210.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
197.0ms
(- (- (* f f) (* n n)))
191.0ms
(- (+ (pow f 3) (pow n 3)))
84.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
66.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))

prune783.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
229×*-un-lft-identity
180×times-frac
165×add-sqr-sqrt
132×exp-prod
91×add-cube-cbrt
67×log-pow
64×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
32×distribute-lft-out
16×neg-mul-1
12×associate-/l*
6×associate-/r/
5×associate-/r* add-cbrt-cube add-exp-log
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg log-prod flip3-- div-sub insert-posit16 div-inv flip--
2×log-div exp-diff distribute-neg-frac associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp rem-log-exp log-rec flip-+ rem-exp-log
Counts
3 → 255
Calls
3 calls:
Slowest
57.0ms
(exp (/ (- (+ f n)) (- f n)))
52.0ms
(log (exp (/ (- (+ f n)) (- f n))))
33.0ms
(/ (- (+ f n)) (- f n))

series304.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
114.0ms
(exp (/ (- (+ f n)) (- f n)))
103.0ms
(log (exp (/ (- (+ f n)) (- f n))))
87.0ms
(/ (- (+ f n)) (- f n))

simplify8.0s

Counts
291 → 264
Calls
291 calls:
Slowest
221.0ms
(- (- (* f f) (* n n)))
219.0ms
(exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))
176.0ms
(exp (/ (- (+ f n)) (- (* f f) (* n n))))
169.0ms
(- (+ (pow f 3) (pow n 3)))
163.0ms
(exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))

prune2.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize63.0ms

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))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
8×cbrt-div add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 63
Calls
4 calls:
Slowest
6.0ms
(cbrt (- f n))
6.0ms
(cbrt (- f n))
4.0ms
(cbrt (- f n))
3.0ms
(cbrt (+ f n))

series886.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
265.0ms
(cbrt (- f n))
230.0ms
(cbrt (- f n))
212.0ms
(cbrt (- f n))
178.0ms
(cbrt (+ f n))

simplify4.0s

Counts
39 → 75
Calls
39 calls:
Slowest
603.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
532.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
527.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
339.0ms
(- (+ (* 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))))
337.0ms
(- (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))))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

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×frac-times cbrt-undiv rec-exp flip3-+ flip3-- 1-exp associate-*l/ cbrt-unprod flip-+ insert-posit16 div-inv flip-- distribute-lft-out add-log-exp
1×distribute-lft-neg-out clear-num neg-mul-1 frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
2 → 101
Calls
2 calls:
Slowest
68.0ms
(* (- (+ f n)) (/ 1 (- f n)))
20.0ms
(/ 1 (- f n))

series148.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
102.0ms
(* (- (+ f n)) (/ 1 (- f n)))
46.0ms
(/ 1 (- f n))

simplify3.9s

Counts
100 → 107
Calls
100 calls:
Slowest
467.0ms
(/ (* (* 1 1) 1) (* (* (- f n) (- f n)) (- f n)))
298.0ms
(* (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (/ (* (* 1 1) 1) (* (* (- f n) (- f n)) (- f n))))
292.0ms
(* (- (- (* f f) (* n n))) 1)
268.0ms
(* (- (+ (pow f 3) (pow n 3))) 1)
252.0ms
(* (- (+ (pow f 3) (pow n 3))) (/ 1 (- f n)))

prune832.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample738.0ms

Algorithm
intervals
Results
577.0ms8000×body80valid