Details

Time bar (total: 58.1s)

sample85.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify118.0ms

Calls
1 calls:
Slowest
118.0ms
(/ (- (+ 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))

rewrite45.0ms

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
41.0ms
(/ (- (+ f n)) (- f n))

series126.0ms

Calls
1 calls:
Slowest
125.0ms
(/ (- (+ f n)) (- f n))

simplify3.5s

Calls
144 calls:
Slowest
229.0ms
(- (- (* f f) (* n n)))
213.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
160.0ms
(- (+ (pow f 3) (pow n 3)))
75.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
71.0ms
(/ (- (+ f n)) (- (sqrt f) (sqrt n)))

prune767.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

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))

rewrite11.0ms

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
Calls
4 calls:
Slowest
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))
2.0ms
(cbrt (+ f n))

series828.0ms

Calls
4 calls:
Slowest
228.0ms
(cbrt (- f n))
220.0ms
(cbrt (- f n))
205.0ms
(cbrt (+ f n))
175.0ms
(cbrt (- f n))

simplify4.2s

Calls
39 calls:
Slowest
597.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
583.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
557.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
389.0ms
(- (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))))
382.0ms
(- (+ (* 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))))

prune719.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

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))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
889×*-un-lft-identity
586×times-frac
471×add-sqr-sqrt
436×cbrt-prod
241×add-cube-cbrt
224×distribute-rgt-neg-in
196×distribute-lft-neg-in
149×swap-sqr
143×distribute-lft-out--
126×distribute-lft-out
103×difference-of-squares
69×associate-*r* associate-*l*
42×neg-mul-1
36×associate-/l*
15×associate-/r*
14×associate-/r/
12×add-exp-log
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-- div-inv flip--
6×pow1/3 distribute-neg-frac associate-/l/
4×cbrt-div 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-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
78.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
34.0ms
(/ (- (+ f n)) (- f n))
32.0ms
(/ (- (+ f n)) (- f n))
20.0ms
(/ (- (+ f n)) (- f n))

series552.0ms

Calls
4 calls:
Slowest
238.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
121.0ms
(/ (- (+ f n)) (- f n))
109.0ms
(/ (- (+ f n)) (- f n))
84.0ms
(/ (- (+ f n)) (- f n))

simplify26.2s

Calls
905 calls:
Slowest
377.0ms
(cbrt (/ -1 (sqrt (- f n))))
233.0ms
(cbrt (/ (- (+ f n)) (- (pow f 3) (pow n 3))))
224.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
224.0ms
(- (- (* f f) (* n n)))
201.0ms
(- (+ (pow f 3) (pow n 3)))

prune6.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize20.0ms

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)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
230×*-un-lft-identity
217×times-frac
214×add-sqr-sqrt
179×sqrt-prod
106×add-cube-cbrt
81×associate-*r*
56×distribute-lft-neg-in distribute-rgt-neg-in
49×associate-*l*
31×distribute-lft-out-- difference-of-squares
28×distribute-lft-out
21×add-exp-log
16×add-cbrt-cube
15×associate-/l* unswap-sqr
14×neg-mul-1
8×div-exp
6×prod-exp
5×cbrt-undiv associate-/r*
4×pow1 associate-/r/ cbrt-unprod
3×div-inv
2×flip3-- sqrt-div 1-exp 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
77.0ms
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))
20.0ms
(/ (sqrt (- (+ f n))) (- f n))

series260.0ms

Calls
2 calls:
Slowest
148.0ms
(/ (sqrt (- (+ f n))) (- f n))
111.0ms
(* (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)))

simplify10.3s

Calls
355 calls:
Slowest
555.0ms
(* (* (* (/ (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))))
321.0ms
(/ (* (* (sqrt (- (+ f n))) (sqrt (- (+ f n)))) (sqrt (- (+ f n)))) (* (* (- f n) (- f n)) (- f n)))
257.0ms
(sqrt (- (- (* f f) (* n n))))
212.0ms
(sqrt (- (+ (pow f 3) (pow n 3))))
203.0ms
(* (/ (* (* (sqrt (- (+ f n))) (sqrt (- (+ f n)))) (sqrt (- (+ f n)))) (* (* 1 1) 1)) (/ (* (* (sqrt (- (+ f n))) (sqrt (- (+ f n)))) (sqrt (- (+ f n)))) (* (* (- f n) (- f n)) (- f n))))

prune2.4s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample764.0ms

Algorithm
intervals
Results
580.0ms8000×body80valid