Details

Time bar (total: 31.3s)

sample73.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify70.0ms

Calls
1 calls:
Slowest
70.0ms
(/ (- (+ f n)) (- f n))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

series91.0ms

Calls
1 calls:
Slowest
90.0ms
(/ (- (+ f n)) (- f n))

simplify2.0s

Calls
81 calls:
Slowest
311.0ms
(- (- (* f f) (* n n)))
127.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
116.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
74.0ms
(- (+ (pow f 3) (pow n 3)))
66.0ms
(/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))

prune474.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
72×exp-prod
67×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
37×log-pow
30×distribute-lft-neg-in distribute-rgt-neg-in
10×neg-mul-1 associate-/l*
6×associate-/r/
5×add-cbrt-cube add-exp-log
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg expm1-log1p-u log-prod associate-/r* flip3-- div-sub insert-posit16 log1p-expm1-u 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
12.0ms
(log (exp (/ (- (+ f n)) (- f n))))
11.0ms
(/ (- (+ f n)) (- f n))
8.0ms
(exp (/ (- (+ f n)) (- f n)))

series273.0ms

Calls
3 calls:
Slowest
109.0ms
(exp (/ (- (+ f n)) (- f n)))
91.0ms
(log (exp (/ (- (+ f n)) (- f n))))
73.0ms
(/ (- (+ f n)) (- f n))

simplify4.5s

Calls
168 calls:
Slowest
276.0ms
(- (- (* f f) (* n n)))
231.0ms
(exp (/ (- (+ f n)) (- (* f f) (* n n))))
208.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
133.0ms
(exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))
128.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
24×distribute-lft-neg-in distribute-rgt-neg-in
20×associate-/l*
12×log-prod
10×add-exp-log
8×neg-mul-1 add-cbrt-cube
6×pow1 associate-/r* sqrt-prod
4×neg-sub0 expm1-log1p-u log-div sqrt-div div-sub distribute-frac-neg associate-/r/ log-pow insert-posit16 log1p-expm1-u distribute-neg-frac add-log-exp associate-/l/
2×exp-neg cbrt-undiv clear-num frac-2neg flip3-+ flip3-- pow1/2 exp-diff div-exp rem-log-exp flip-+ div-inv flip--
Calls
4 calls:
Slowest
9.0ms
(/ (- (+ f n)) (- f n))
5.0ms
(/ (- (+ f n)) (- f n))
4.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
4.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))

series598.0ms

Calls
4 calls:
Slowest
207.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
201.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
97.0ms
(/ (- (+ f n)) (- f n))
93.0ms
(/ (- (+ f n)) (- f n))

simplify5.0s

Calls
186 calls:
Slowest
360.0ms
(- (- (* f f) (* n n)))
276.0ms
(- (- (* f f) (* n n)))
169.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
153.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
101.0ms
(log (* (cbrt (sqrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (sqrt (exp (/ (- (+ f n)) (- f n)))))))

prune2.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
115×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
72×cbrt-prod
54×distribute-lft-neg-in distribute-rgt-neg-in
39×associate-*r* associate-*l*
30×associate-/l*
18×neg-mul-1
12×add-exp-log
10×add-cbrt-cube associate-/r/
9×pow1 associate-/r*
6×distribute-neg-frac associate-/l/
5×flip3-- div-inv flip--
4×expm1-log1p-u cbrt-div pow1/3 insert-posit16 log1p-expm1-u 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-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
22.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
11.0ms
(/ (- (+ f n)) (- f n))
11.0ms
(/ (- (+ f n)) (- f n))
10.0ms
(/ (- (+ f n)) (- f n))

series547.0ms

Calls
4 calls:
Slowest
249.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
104.0ms
(/ (- (+ f n)) (- f n))
100.0ms
(/ (- (+ f n)) (- f n))
95.0ms
(/ (- (+ f n)) (- f n))

simplify9.3s

Calls
336 calls:
Slowest
320.0ms
(- (- (* f f) (* n n)))
290.0ms
(- (- (* f f) (* n n)))
287.0ms
(- (- (* f f) (* n n)))
286.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
236.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))

prune3.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample710.0ms

Algorithm
intervals
Results
514.0ms8000×body80valid