Details

Time bar (total: 5.8m)

sample160.0ms

Algorithm
intervals
Results
31.0ms256×body80valid

simplify126.0ms

Calls
1 calls:
Slowest
126.0ms
(/ (- (+ f n)) (- f n))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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
Calls
1 calls:
Slowest
35.0ms
(/ (- (+ f n)) (- f n))

series124.0ms

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

simplify3.5s

Calls
144 calls:
Slowest
245.0ms
(- (+ (pow f 3) (pow n 3)))
214.0ms
(- (- (* f f) (* n n)))
195.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
119.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
68.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)

prune860.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
1349×*-un-lft-identity
731×add-sqr-sqrt
591×associate-/l*
584×times-frac
484×frac-times
421×add-cube-cbrt
410×distribute-rgt-neg-in
380×distribute-lft-neg-in
245×associate-/r*
219×distribute-lft-out
189×distribute-lft-out--
149×difference-of-squares
146×swap-sqr
98×distribute-neg-frac associate-/l/
88×neg-mul-1
66×associate-*r* associate-*l*
50×clear-num
49×frac-2neg flip3-+ flip-+
22×add-cbrt-cube associate-*l/ associate-*r/ add-exp-log
14×associate-/r/
11×pow1
7×cbrt-undiv flip3-- div-exp distribute-frac-neg div-inv flip--
4×prod-exp un-div-inv cbrt-unprod insert-posit16 add-log-exp unswap-sqr
3×neg-sub0 div-sub
1×distribute-lft-neg-out pow2 pow-plus sqr-neg pow-prod-down pow-sqr *-commutative pow-prod-up distribute-rgt-neg-out
Calls
4 calls:
Slowest
182.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
27.0ms
(/ (- (+ f n)) (- f n))
23.0ms
(/ (- (+ f n)) (- f n))
21.0ms
(/ (- (+ f n)) (- f n))

series386.0ms

Calls
4 calls:
Slowest
107.0ms
(/ (- (+ f n)) (- f n))
104.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
91.0ms
(/ (- (+ f n)) (- f n))
85.0ms
(/ (- (+ f n)) (- f n))

simplify4.3m

Calls
1899 calls:
Slowest
1.2s
(* (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))
1.1s
(* (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))
1.1s
(* (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))
1.0s
(* (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))
720.0ms
(* (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (+ f n)))

prune11.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ f n) (sqrt (- f n)))
0.2b
(/ -1 (sqrt (- f n)))
0.1b
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
0.0b
(sqrt (- f n))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
339×*-un-lft-identity
303×add-sqr-sqrt
280×associate-/r*
256×sqrt-prod
238×frac-times
172×add-cube-cbrt
124×times-frac
123×associate-/l*
50×distribute-lft-out-- difference-of-squares
38×associate-*r*
36×clear-num
35×frac-2neg
33×distribute-lft-out
32×associate-/l/
30×associate-*l*
20×add-cbrt-cube add-exp-log
17×associate-*r/
16×flip3-+ flip-+
14×associate-*l/
10×sqrt-div
9×unswap-sqr
8×associate-/r/
7×pow1
6×cbrt-undiv div-exp
5×flip3-- flip--
4×prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp
3×un-div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down *-commutative
Calls
4 calls:
Slowest
111.0ms
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
39.0ms
(/ (+ f n) (sqrt (- f n)))
17.0ms
(/ -1 (sqrt (- f n)))
5.0ms
(sqrt (- f n))

series485.0ms

Calls
4 calls:
Slowest
160.0ms
(/ (+ f n) (sqrt (- f n)))
113.0ms
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
112.0ms
(/ -1 (sqrt (- f n)))
100.0ms
(sqrt (- f n))

simplify52.0s

Calls
766 calls:
Slowest
625.0ms
(/ (* (* -1 -1) -1) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n))))
531.0ms
(* (/ -1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (+ f n))
491.0ms
(* (- -1) (- (* f f) (* n n)))
455.0ms
(* (/ (* (* -1 -1) -1) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n)))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n)))))
379.0ms
(/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n))))

prune4.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (sqrt (- f n)))
0.3b
(cbrt (sqrt (- f n)))
0.3b
(cbrt (sqrt (- f n)))
0.3b
(* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
76×cbrt-prod
58×add-sqr-sqrt
47×sqrt-prod
42×*-un-lft-identity
22×add-cube-cbrt
18×cbrt-div sqrt-div
15×swap-sqr
11×pow1 associate-*r* associate-*l*
9×flip3-- pow1/3 flip-- distribute-lft-out-- unswap-sqr
8×add-cbrt-cube
7×difference-of-squares
6×add-exp-log
4×frac-times cbrt-unprod insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Calls
4 calls:
Slowest
53.0ms
(* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))
7.0ms
(cbrt (sqrt (- f n)))
7.0ms
(cbrt (sqrt (- f n)))
3.0ms
(cbrt (sqrt (- f n)))

series824.0ms

Calls
4 calls:
Slowest
218.0ms
(cbrt (sqrt (- f n)))
218.0ms
(cbrt (sqrt (- f n)))
208.0ms
(cbrt (sqrt (- f n)))
181.0ms
(* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))

simplify8.4s

Calls
139 calls:
Slowest
585.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
583.0ms
(exp (* 1/6 (- (log -1) (log (/ -1 f)))))
580.0ms
(exp (* 1/6 (- (log -1) (log (/ -1 f)))))
560.0ms
(exp (* 1/6 (- (log -1) (log (/ -1 f)))))
513.0ms
(* (cbrt (sqrt (- (pow f 3) (pow n 3)))) (cbrt (sqrt (- (* f f) (* n n)))))

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch24.0ms

end0.0ms

sample730.0ms

Algorithm
intervals
Results
613.0ms8000×body80valid