Details

Time bar (total: 27.5s)

sample143.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify96.0ms

Calls
1 calls:
Slowest
95.0ms
(/ (- (+ f n)) (- f n))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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 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
13.0ms
(/ (- (+ f n)) (- f n))

series69.0ms

Calls
1 calls:
Slowest
69.0ms
(/ (- (+ f n)) (- f n))

simplify2.5s

Calls
81 calls:
Slowest
293.0ms
(- (- (* f f) (* n n)))
225.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
149.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
86.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
73.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)

prune600.0ms

Pruning

7 alts after pruning (7 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)))

rewrite24.0ms

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 log-prod associate-/r* 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
6.0ms
(/ (- (+ f n)) (- f n))
6.0ms
(log (exp (/ (- (+ f n)) (- f n))))
5.0ms
(exp (/ (- (+ f n)) (- f n)))

series198.0ms

Calls
3 calls:
Slowest
104.0ms
(exp (/ (- (+ f n)) (- f n)))
50.0ms
(log (exp (/ (- (+ f n)) (- f n))))
44.0ms
(/ (- (+ f n)) (- f n))

simplify5.6s

Calls
168 calls:
Slowest
224.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
196.0ms
(- (- (* f f) (* n n)))
191.0ms
(exp (/ (- (+ f n)) (- (* f f) (* n n))))
181.0ms
(exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))
130.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))

prune1.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

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)))))

rewrite36.0ms

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 log-div sqrt-div div-sub distribute-frac-neg associate-/r/ log-pow insert-posit16 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
10.0ms
(/ (- (+ f n)) (- f n))
7.0ms
(/ (- (+ f n)) (- f n))
7.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
7.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))

series427.0ms

Calls
4 calls:
Slowest
172.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
138.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
62.0ms
(/ (- (+ f n)) (- f n))
55.0ms
(/ (- (+ f n)) (- f n))

simplify6.0s

Calls
186 calls:
Slowest
243.0ms
(- (- (* f f) (* n n)))
241.0ms
(- (- (* f f) (* n n)))
229.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
170.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
123.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))

prune2.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
47×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
36×pow-unpow
21×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
7×neg-mul-1
6×add-exp-log
5×add-cbrt-cube
4×distribute-frac-neg associate-/r/
3×neg-sub0 pow1 log-prod pow-neg associate-/r* div-sub insert-posit16 add-log-exp
2×pow-to-exp log-div flip3-- rem-log-exp div-inv flip-- distribute-neg-frac pow-sub associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp log-rec log-pow flip-+
Calls
3 calls:
Slowest
5.0ms
(/ (- (+ f n)) (- f n))
2.0ms
(pow E (/ (- (+ f n)) (- f n)))
2.0ms
(log (pow E (/ (- (+ f n)) (- f n))))

series305.0ms

Calls
3 calls:
Slowest
146.0ms
(pow E (/ (- (+ f n)) (- f n)))
111.0ms
(log (pow E (/ (- (+ f n)) (- f n))))
48.0ms
(/ (- (+ f n)) (- f n))

simplify3.8s

Calls
134 calls:
Slowest
235.0ms
(- (- (* f f) (* n n)))
172.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
145.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
99.0ms
(log (* (cbrt (pow E (/ (- (+ f n)) (- f n)))) (cbrt (pow E (/ (- (+ f n)) (- f n))))))
91.0ms
(log (sqrt (pow E (/ (- (+ f n)) (- f n)))))

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.2s8000×body80valid