Details

Time bar (total: 3.3s)

sample268.0ms

Algorithm
intervals
Results
7.0ms256×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

Filtered
1 candidates to 0 candidates (0.0%)
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))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (- (+ f n)) (- f n))

simplify69.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune166.0ms

Filtered
100 candidates to 62 candidates (62.0%)
Pruning

5 alts after pruning (5 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)))

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:
1.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
10.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series285.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
65.0ms
(/ (- (+ f n)) (- f n))
108.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify69.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0323918
1971882
23076867
35001867

prune244.0ms

Filtered
128 candidates to 82 candidates (64.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))
0.0b
(/ (- (+ f n)) (- f n))
0.5b
(+ 1 (expm1 (/ (- (+ f n)) (- f n))))
0.5b
(expm1 (/ (- (+ f n)) (- f n)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
63×add-sqr-sqrt
60×times-frac
37×add-cube-cbrt
24×distribute-lft-neg-in distribute-rgt-neg-in
14×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
12×associate-/l*
7×add-exp-log
6×neg-mul-1 add-cbrt-cube add-log-exp
5×pow1 associate-/r* log1p-expm1-u
4×expm1-log1p-u log-prod
3×fma-def flip3-+ flip-+
2×log-div associate-/r/ associate-/l/ distribute-neg-frac expm1-udef
1×cbrt-undiv +-commutative neg-sub0 associate-+r- expm1-log1p flip3-- frac-2neg log1p-def div-sub distribute-frac-neg div-exp rem-log-exp clear-num sum-log log-pow flip-- div-inv
Counts
4 → 144
Calls
4 calls:
3.0ms
(log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))
10.0ms
(/ (- (+ f n)) (- f n))
4.0ms
(+ 1 (expm1 (/ (- (+ f n)) (- f n))))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series373.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))
67.0ms
(/ (- (+ f n)) (- f n))
99.0ms
(+ 1 (expm1 (/ (- (+ f n)) (- f n))))
100.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify88.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
03941140
113981091
244241072
350011072

prune337.0ms

Filtered
156 candidates to 106 candidates (67.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- f n))
0.6b
(cbrt (+ f n))
0.6b
(cbrt (+ f n))
0.6b
(cbrt (+ f n))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
16×*-un-lft-identity
10×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-+ flip-+ distribute-lft-out
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 65
Calls
4 calls:
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))

series539.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- f n))
126.0ms
(cbrt (+ f n))
132.0ms
(cbrt (+ f n))
132.0ms
(cbrt (+ f n))

simplify55.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0228392
1564372
21856360
35002352

prune241.0ms

Filtered
77 candidates to 69 candidates (89.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197
1207
2207

end0.0ms

sample299.0ms

Algorithm
intervals
Results
170.0ms8000×body80valid