Details

Time bar (total: 3.1s)

sample267.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334

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))

rewrite18.0ms

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:
12.0ms
(/ (- (+ f n)) (- f n))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (- (+ f n)) (- f n))

simplify69.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune156.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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:
9.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series270.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ (- (+ f n)) (- f n))
108.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
100.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify69.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0323918
1971882
23076867
35001867

prune236.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite56.0ms

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 expm1-log1p-u log-prod flip3-- div-sub flip-- log1p-expm1-u 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 → 258
Calls
3 calls:
14.0ms
(exp (/ (- (+ f n)) (- f n)))
19.0ms
(log (exp (/ (- (+ f n)) (- f n))))
9.0ms
(/ (- (+ f n)) (- f n))

series211.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(exp (/ (- (+ f n)) (- f n)))
64.0ms
(log (exp (/ (- (+ f n)) (- f n))))
66.0ms
(/ (- (+ f n)) (- f n))

simplify81.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
04141692
111281633
236531596
350021593

prune470.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(expm1 (log1p (/ (- (+ f n)) (- f n))))
0.0b
(/ (- (+ f n)) (- f n))
2.7b
(log1p (/ (- (+ f n)) (- f n)))

rewrite19.0ms

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:
1.0ms
(expm1 (log1p (/ (- (+ f n)) (- f n))))
12.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(log1p (/ (- (+ f n)) (- f n)))

series401.0ms

Counts
3 → 9
Calls
3 calls:
226.0ms
(expm1 (log1p (/ (- (+ f n)) (- f n))))
67.0ms
(/ (- (+ f n)) (- f n))
108.0ms
(log1p (/ (- (+ f n)) (- f n)))

simplify77.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0364946
11083907
23442885
35001884

prune250.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1156
2156

end0.0ms

sample270.0ms

Algorithm
intervals
Results
156.0ms8000×body80valid