Details

Time bar (total: 5.9s)

sample57.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite75.0ms

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-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/ distribute-neg-frac
1×pow1 cbrt-undiv neg-sub0 flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 95
Calls
1 calls:
68.0ms
(/ (- (+ f n)) (- f n))

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(/ (- (+ f n)) (- f n))

simplify64.0ms

Counts
98 → 98

prune163.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite170.0ms

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×add-exp-log associate-/r* add-cbrt-cube
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg log-prod flip3-- div-sub flip-- div-inv
2×log-div exp-diff associate-/l/ distribute-neg-frac
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp log-rec clear-num flip-+ rem-exp-log
Counts
3 → 252
Calls
3 calls:
60.0ms
(log (exp (/ (- (+ f n)) (- f n))))
55.0ms
(exp (/ (- (+ f n)) (- f n)))
38.0ms
(/ (- (+ f n)) (- f n))

series236.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(log (exp (/ (- (+ f n)) (- f n))))
94.0ms
(exp (/ (- (+ f n)) (- f n)))
69.0ms
(/ (- (+ f n)) (- f n))

simplify74.0ms

Counts
261 → 261

prune479.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (/ 1 E) (/ (+ f n) (- f n)))
0.0b
(log (pow (/ 1 E) (/ (+ f n) (- f n))))
0.0b
(/ (+ f n) (- f n))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
58×times-frac
57×add-sqr-sqrt
39×add-cube-cbrt
26×unpow-prod-down pow-unpow
18×add-exp-log
17×log-prod
14×pow-exp
11×distribute-lft-out
9×div-exp rem-log-exp distribute-lft-out-- difference-of-squares
6×e-exp-1
5×pow1 associate-/r* add-cbrt-cube
4×rec-exp 1-exp associate-/r/ div-inv associate-/l*
3×pow-pow add-log-exp
2×pow-to-exp flip3-- flip-- associate-/l/ sqr-pow
1×cbrt-undiv pow-flip frac-2neg flip3-+ clear-num log-pow flip-+ inv-pow
Counts
3 → 137
Calls
3 calls:
17.0ms
(pow (/ 1 E) (/ (+ f n) (- f n)))
10.0ms
(log (pow (/ 1 E) (/ (+ f n) (- f n))))
25.0ms
(/ (+ f n) (- f n))

series1.0s

Counts
3 → 9
Calls
3 calls:
633.0ms
(pow (/ 1 E) (/ (+ f n) (- f n)))
340.0ms
(log (pow (/ 1 E) (/ (+ f n) (- f n))))
67.0ms
(/ (+ f n) (- f n))

simplify41.0ms

Counts
146 → 146

prune321.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

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))

rewrite350.0ms

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-- flip-- div-inv
6×pow1/3 associate-/l/ distribute-neg-frac
4×cbrt-div add-log-exp
3×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-+
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 602
Calls
4 calls:
191.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
33.0ms
(/ (- (+ f n)) (- f n))
35.0ms
(/ (- (+ f n)) (- f n))
39.0ms
(/ (- (+ f n)) (- f n))

series424.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
76.0ms
(/ (- (+ f n)) (- f n))
76.0ms
(/ (- (+ f n)) (- f n))
80.0ms
(/ (- (+ f n)) (- f n))

simplify106.0ms

Counts
614 → 614

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample487.0ms

Algorithm
intervals
Results
261.0ms8000×body80valid