Details

Time bar (total: 17.0s)

sample56.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify29.0ms

Counts
1 → 1
Iterations
IterNodes
done32
632
530
426
320
216
113
06

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

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 expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp distribute-frac-neg flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 97
Calls
1 calls:
44.0ms
(/ (- (+ f n)) (- f n))

series118.0ms

Counts
1 → 3
Calls
1 calls:
118.0ms
(/ (- (+ f n)) (- f n))

simplify1.9s

Counts
100 → 100
Iterations
IterNodes
done5002
21069
1316
0135

prune453.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize36.0ms

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))

rewrite179.0ms

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 expm1-log1p-u log-prod flip3-- div-sub 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
Counts
3 → 258
Calls
3 calls:
61.0ms
(log (exp (/ (- (+ f n)) (- f n))))
53.0ms
(exp (/ (- (+ f n)) (- f n)))
51.0ms
(/ (- (+ f n)) (- f n))

series299.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(log (exp (/ (- (+ f n)) (- f n))))
119.0ms
(exp (/ (- (+ f n)) (- f n)))
95.0ms
(/ (- (+ f n)) (- f n))

simplify1.1s

Counts
267 → 267
Iterations
IterNodes
done5000
21356
1450
0247

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite440.0ms

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-- div-inv flip--
6×pow1/3 distribute-neg-frac associate-/l/
4×expm1-log1p-u cbrt-div 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-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 610
Calls
4 calls:
52.0ms
(/ (- (+ f n)) (- f n))
32.0ms
(/ (- (+ f n)) (- f n))
40.0ms
(/ (- (+ f n)) (- f n))
246.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))

series535.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (- (+ f n)) (- f n))
91.0ms
(/ (- (+ f n)) (- f n))
113.0ms
(/ (- (+ f n)) (- f n))
237.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))

simplify2.2s

Counts
622 → 622
Iterations
IterNodes
done5001
22742
1697
0391

prune2.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite434.0ms

Algorithm
rewrite-expression-head
Rules
885×*-un-lft-identity
584×times-frac
455×add-sqr-sqrt
237×add-cube-cbrt
224×distribute-rgt-neg-in
196×distribute-lft-neg-in
146×swap-sqr
143×distribute-lft-out--
126×distribute-lft-out
103×difference-of-squares
66×associate-*r* associate-*l*
42×neg-mul-1
36×associate-/l*
22×add-cbrt-cube add-exp-log
15×associate-/r*
14×associate-/r/
11×pow1
7×cbrt-undiv flip3-- div-exp distribute-frac-neg div-inv flip--
6×distribute-neg-frac associate-/l/
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×neg-sub0 clear-num frac-2neg flip3-+ div-sub flip-+
1×distribute-lft-neg-out pow2 frac-times pow-plus sqr-neg pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up distribute-rgt-neg-out
Counts
4 → 602
Calls
4 calls:
34.0ms
(/ (- (+ f n)) (- f n))
51.0ms
(/ (- (+ f n)) (- f n))
46.0ms
(/ (- (+ f n)) (- f n))
242.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))

series444.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(/ (- (+ f n)) (- f n))
123.0ms
(/ (- (+ f n)) (- f n))
112.0ms
(/ (- (+ f n)) (- f n))
95.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))

simplify1.2s

Counts
614 → 614
Iterations
IterNodes
done5000
11220
0311

prune2.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done15
215
114
08

end0.0ms

sample590.0ms

Algorithm
intervals
Results
404.0ms8000×body80valid