Details

Time bar (total: 3.2s)

sample316.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334
done334

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite64.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
59.0ms
(/ (- (+ f n)) (- f n))

series82.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (- (+ f n)) (- f n))

simplify66.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0293774
1927758
23021743
35001743
done5001743

prune153.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (- (+ f n)) (- f n))))
0.0b
(/ (- (+ f n)) (- f n))
0.5b
(expm1 (/ (- (+ f n)) (- f n)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
60×add-sqr-sqrt times-frac
34×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×add-exp-log associate-/r* add-cbrt-cube
4×log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/ distribute-neg-frac
1×cbrt-undiv neg-sub0 log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ div-sub log1p-expm1 distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 119
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
31.0ms
(/ (- (+ f n)) (- f n))
0.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series288.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
66.0ms
(/ (- (+ f n)) (- f n))
111.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify74.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0322918
1969882
23073867
35001867
done5001867

prune233.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (* (/ -1 (- f n)) (+ f n))))
0.0b
(/ -1 (- f n))
0.2b
(* (/ -1 (- f n)) (+ f n))
0.5b
(expm1 (* (/ -1 (- f n)) (+ f n)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
40×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
21×associate-*l*
11×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r* log1p-expm1-u
4×expm1-log1p-u associate-*r* associate-/r/ add-log-exp
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv unswap-sqr
1×distribute-rgt-in log1p-udef expm1-log1p frac-2neg distribute-lft-in log1p-expm1 pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out expm1-udef
Counts
4 → 110
Calls
4 calls:
0.0ms
(log1p (expm1 (* (/ -1 (- f n)) (+ f n))))
11.0ms
(/ -1 (- f n))
45.0ms
(* (/ -1 (- f n)) (+ f n))
1.0ms
(expm1 (* (/ -1 (- f n)) (+ f n)))

series326.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(log1p (expm1 (* (/ -1 (- f n)) (+ f n))))
35.0ms
(/ -1 (- f n))
71.0ms
(* (/ -1 (- f n)) (+ f n))
104.0ms
(expm1 (* (/ -1 (- f n)) (+ f n)))

simplify50.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0456629
11755575
25003545
done5003545

prune246.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(expm1 (log1p (/ (- (+ f n)) (- f n))))
0.0b
(/ (- (+ f n)) (- f n))
1.5b
(log1p (/ (- (+ f n)) (- f n)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
60×add-sqr-sqrt times-frac
34×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×add-exp-log associate-/r* add-cbrt-cube
4×expm1-log1p-u
3×pow1 log1p-expm1-u add-log-exp
2×associate-/r/ associate-/l/ distribute-neg-frac
1×cbrt-undiv neg-sub0 log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ div-sub log1p-expm1 distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 119
Calls
3 calls:
0.0ms
(expm1 (log1p (/ (- (+ f n)) (- f n))))
34.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(log1p (/ (- (+ f n)) (- f n)))

series424.0ms

Counts
3 → 9
Calls
3 calls:
239.0ms
(expm1 (log1p (/ (- (+ f n)) (- f n))))
71.0ms
(/ (- (+ f n)) (- f n))
115.0ms
(log1p (/ (- (+ f n)) (- f n)))

simplify79.0ms

Counts
128 → 128
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0364946
11083907
23442885
35001884
done5001884

prune242.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1116
done116

end0.0ms

sample325.0ms

Algorithm
intervals
Results
157.0ms8000×body80valid