Details

Time bar (total: 1.3m)

sample88.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify60.0ms

Calls
1 calls:
Slowest
59.0ms
(/ (- (+ f n)) (- f n))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 1 expressions with local error:

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

rewrite139.0ms

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
133.0ms
(/ (- (+ f n)) (- f n))

series348.0ms

Calls
1 calls:
Slowest
347.0ms
(/ (- (+ f n)) (- f n))

simplify3.5s

Calls
144 calls:
Slowest
325.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
259.0ms
(- (- (* f f) (* n n)))
189.0ms
(- (+ (pow f 3) (pow n 3)))
81.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
77.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))

prune693.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

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
Calls
3 calls:
Slowest
44.0ms
(log (exp (/ (- (+ f n)) (- f n))))
30.0ms
(exp (/ (- (+ f n)) (- f n)))
28.0ms
(/ (- (+ f n)) (- f n))

series307.0ms

Calls
3 calls:
Slowest
112.0ms
(exp (/ (- (+ f n)) (- f n)))
109.0ms
(log (exp (/ (- (+ f n)) (- f n))))
86.0ms
(/ (- (+ f n)) (- f n))

simplify8.5s

Calls
291 calls:
Slowest
352.0ms
(exp (/ (- (sqrt (+ f n))) 1))
249.0ms
(exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))
233.0ms
(exp (/ (- (+ f n)) (- (* f f) (* n n))))
230.0ms
(- (- (* f f) (* n n)))
216.0ms
(- (+ (pow f 3) (pow n 3)))

prune2.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow E (/ (- (+ f n)) (- f n)))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(log (pow E (/ (- (+ f n)) (- f n))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
159×*-un-lft-identity
120×times-frac
115×add-sqr-sqrt
66×pow-unpow
65×add-cube-cbrt
44×distribute-lft-neg-in distribute-rgt-neg-in
25×distribute-lft-out-- difference-of-squares
22×distribute-lft-out
12×associate-/l*
11×neg-mul-1
8×add-exp-log
7×log-prod
6×unpow-prod-down
5×associate-/r* add-cbrt-cube
4×pow1 rem-log-exp pow-exp distribute-frac-neg associate-/r/
3×neg-sub0 pow-neg div-sub insert-posit16 add-log-exp
2×pow-to-exp log-div e-exp-1 flip3-- div-inv flip-- distribute-neg-frac pow-sub sqr-pow associate-/l/
1×cbrt-undiv clear-num pow-pow frac-2neg flip3-+ div-exp log-rec log-pow flip-+
Calls
3 calls:
Slowest
19.0ms
(/ (- (+ f n)) (- f n))
8.0ms
(pow E (/ (- (+ f n)) (- f n)))
2.0ms
(log (pow E (/ (- (+ f n)) (- f n))))

series409.0ms

Calls
3 calls:
Slowest
173.0ms
(log (pow E (/ (- (+ f n)) (- f n))))
138.0ms
(pow E (/ (- (+ f n)) (- f n)))
98.0ms
(/ (- (+ f n)) (- f n))

simplify8.5s

Calls
237 calls:
Slowest
460.0ms
(log (pow E (/ (/ (- (+ f n)) (- f n)) 2)))
395.0ms
(log (pow (* (cbrt E) (cbrt E)) (/ (- (+ f n)) (- f n))))
327.0ms
(log (pow (sqrt E) (/ (- (+ f n)) (- f n))))
272.0ms
(log (sqrt (pow E (/ (- (+ f n)) (- f n)))))
265.0ms
(- (+ (pow f 3) (pow n 3)))

prune2.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (pow E (/ (/ (- (+ f n)) (- f n)) 2)) (pow E (/ (/ (- (+ f n)) (- f n)) 2)))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(pow E (/ (/ (- (+ f n)) (- f n)) 2))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
458×*-un-lft-identity
362×add-sqr-sqrt
226×add-cube-cbrt
202×pow-unpow
108×distribute-lft-neg-in distribute-rgt-neg-in
62×distribute-lft-out-- difference-of-squares
54×distribute-lft-out
27×neg-mul-1
25×add-exp-log
24×associate-/l*
21×unpow-prod-down
18×pow-exp distribute-frac-neg
16×div-sub prod-exp
11×sqr-pow
10×associate-/r* add-cbrt-cube associate-/r/
9×neg-sub0 pow-to-exp e-exp-1 unswap-sqr
8×pow-neg
7×swap-sqr associate-*r* associate-*l* pow-sub
6×div-inv
5×pow1 flip3-- flip--
4×frac-times insert-posit16 distribute-neg-frac add-log-exp associate-/l/
2×cbrt-undiv clear-num frac-2neg flip3-+ div-exp associate-*l/ associate-*r/ flip-+
1×pow2 pow-pow pow-prod-down pow-sqr un-div-inv *-commutative pow-prod-up cbrt-unprod
Calls
4 calls:
Slowest
29.0ms
(/ (- (+ f n)) (- f n))
25.0ms
(/ (- (+ f n)) (- f n))
20.0ms
(* (pow E (/ (/ (- (+ f n)) (- f n)) 2)) (pow E (/ (/ (- (+ f n)) (- f n)) 2)))
20.0ms
(pow E (/ (/ (- (+ f n)) (- f n)) 2))

series652.0ms

Calls
4 calls:
Slowest
240.0ms
(pow E (/ (/ (- (+ f n)) (- f n)) 2))
205.0ms
(* (pow E (/ (/ (- (+ f n)) (- f n)) 2)) (pow E (/ (/ (- (+ f n)) (- f n)) 2)))
104.0ms
(/ (- (+ f n)) (- f n))
102.0ms
(/ (- (+ f n)) (- f n))

simplify42.1s

Calls
582 calls:
Slowest
686.0ms
(* (pow E (/ (/ (/ (- (+ f n)) (- f n)) 2) 2)) (pow (sqrt E) (/ (/ (- (+ f n)) (- f n)) 2)))
621.0ms
(* (* (* (pow E (/ (/ (- (+ f n)) (- f n)) 2)) (pow E (/ (/ (- (+ f n)) (- f n)) 2))) (pow E (/ (/ (- (+ f n)) (- f n)) 2))) (* (* (pow E (/ (/ (- (+ f n)) (- f n)) 2)) (pow E (/ (/ (- (+ f n)) (- f n)) 2))) (pow E (/ (/ (- (+ f n)) (- f n)) 2))))
480.0ms
(* (pow E (/ (/ (+ f n) (- f n)) 2)) (pow E (/ (/ (+ f n) (- f n)) 2)))
468.0ms
(* (pow E (/ (/ (+ f n) (- f n)) 2)) (pow E (/ (/ (+ f n) (- f n)) 2)))
432.0ms
(+ (* (log E) (/ (/ (- (+ f n)) (- f n)) 2)) (* 1 (/ (/ (- (+ f n)) (- f n)) 2)))

prune5.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample711.0ms

Algorithm
intervals
Results
539.0ms8000×body80valid