Details

Time bar (total: 15.4s)

sample95.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify169.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6328
done328

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 1 expressions with local error:

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

rewrite79.0ms

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:
67.0ms
(/ (- (+ f n)) (- f n))

series277.0ms

Counts
1 → 3
Calls
1 calls:
276.0ms
(/ (- (+ f n)) (- f n))

simplify722.0ms

Counts
98 → 98
Iterations

Useful iterations: done (719.0ms)

IterNodesCost
01331451
13111378
210601348
done50001341

prune203.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite230.0ms

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:
80.0ms
(exp (/ (- (+ f n)) (- f n)))
82.0ms
(log (exp (/ (- (+ f n)) (- f n))))
42.0ms
(/ (- (+ f n)) (- f n))

series341.0ms

Counts
3 → 9
Calls
3 calls:
154.0ms
(exp (/ (- (+ f n)) (- f n)))
101.0ms
(log (exp (/ (- (+ f n)) (- f n))))
86.0ms
(/ (- (+ f n)) (- f n))

simplify769.0ms

Counts
261 → 261
Iterations

Useful iterations: done (761.0ms)

IterNodesCost
02413236
14412862
213302792
done50012772

prune693.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ 1 (/ (- f n) (- (+ f n)))))
0.0b
(log (exp (/ 1 (/ (- f n) (- (+ f n))))))
0.0b
(/ (- f n) (- (+ f n)))
0.0b
(/ 1 (/ (- f n) (- (+ f n))))

rewrite478.0ms

Algorithm
rewrite-expression-head
Rules
1254×times-frac
1007×*-un-lft-identity
783×add-sqr-sqrt
517×add-cube-cbrt
406×exp-prod
224×distribute-lft-neg-in distribute-rgt-neg-in
204×log-pow
133×distribute-lft-out-- difference-of-squares
112×distribute-lft-out
78×associate-/r*
56×neg-mul-1
25×associate-/r/
22×distribute-neg-frac
17×add-exp-log
14×div-inv
11×flip3-+ add-cbrt-cube flip-+
8×div-exp associate-/l*
6×pow1
5×add-log-exp
4×cbrt-undiv
3×log-prod
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub rem-log-exp flip-- rem-exp-log inv-pow
Counts
4 → 808
Calls
4 calls:
137.0ms
(exp (/ 1 (/ (- f n) (- (+ f n)))))
143.0ms
(log (exp (/ 1 (/ (- f n) (- (+ f n))))))
42.0ms
(/ (- f n) (- (+ f n)))
64.0ms
(/ 1 (/ (- f n) (- (+ f n))))

series424.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(exp (/ 1 (/ (- f n) (- (+ f n)))))
92.0ms
(log (exp (/ 1 (/ (- f n) (- (+ f n))))))
89.0ms
(/ (- f n) (- (+ f n)))
102.0ms
(/ 1 (/ (- f n) (- (+ f n))))

simplify1.0s

Counts
820 → 820
Iterations

Useful iterations: done (985.0ms)

IterNodesCost
066613540
1141610583
done500010455

prune2.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (/ 1 (log (exp (/ (- f n) (- (+ f n))))))))
0.0b
(exp (/ 1 (log (exp (/ (- f n) (- (+ f n)))))))
0.0b
(/ (- f n) (- (+ f n)))
0.0b
(/ 1 (log (exp (/ (- f n) (- (+ f n))))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
1290×times-frac
1088×exp-prod
1029×*-un-lft-identity
885×log-pow
805×add-sqr-sqrt
539×add-cube-cbrt
224×distribute-lft-neg-in distribute-rgt-neg-in
133×distribute-lft-out-- difference-of-squares
112×distribute-lft-out
82×associate-/r*
56×neg-mul-1
22×associate-/r/ distribute-neg-frac
16×pow1
14×div-inv
11×flip3-+ flip-+
10×add-exp-log
8×add-cbrt-cube associate-/l*
5×add-log-exp
3×log-prod div-exp
2×cbrt-undiv frac-2neg clear-num associate-/l/
1×rec-exp flip3-- pow-flip 1-exp div-sub rem-log-exp flip-- rem-exp-log inv-pow
Counts
4 → 841
Calls
4 calls:
417.0ms
(log (exp (/ 1 (log (exp (/ (- f n) (- (+ f n))))))))
343.0ms
(exp (/ 1 (log (exp (/ (- f n) (- (+ f n)))))))
37.0ms
(/ (- f n) (- (+ f n)))
183.0ms
(/ 1 (log (exp (/ (- f n) (- (+ f n))))))

series389.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(log (exp (/ 1 (log (exp (/ (- f n) (- (+ f n))))))))
112.0ms
(exp (/ 1 (log (exp (/ (- f n) (- (+ f n)))))))
84.0ms
(/ (- f n) (- (+ f n)))
81.0ms
(/ 1 (log (exp (/ (- f n) (- (+ f n))))))

simplify2.5s

Counts
853 → 853
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
076314395
1130211731
2469311469
done500011469

prune2.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11814
21914
done1914

end0.0ms

sample723.0ms

Algorithm
intervals
Results
429.0ms8000×body80valid