Details

Time bar (total: 4.0s)

sample267.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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))

series85.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (- (+ f n)) (- f n))

simplify67.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune164.0ms

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
(expm1 (log1p (/ (- (+ f n)) (- f n))))
0.0b
(/ (- (+ f n)) (- f n))
2.3b
(log1p (/ (- (+ 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×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))))
10.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(log1p (/ (- (+ f n)) (- f n)))

series425.0ms

Counts
3 → 9
Calls
3 calls:
240.0ms
(expm1 (log1p (/ (- (+ f n)) (- f n))))
63.0ms
(/ (- (+ f n)) (- f n))
121.0ms
(log1p (/ (- (+ f n)) (- f n)))

simplify74.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0364946
11083907
23442885
35001884

prune260.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- f n) (- (+ f n)))
0.0b
(expm1 (log1p (/ 1 (/ (- f n) (- (+ f n))))))
0.0b
(/ 1 (/ (- f n) (- (+ f n))))
2.3b
(log1p (/ 1 (/ (- f n) (- (+ f n)))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
440×*-un-lft-identity
336×add-sqr-sqrt
214×add-cube-cbrt
104×distribute-lft-neg-in distribute-rgt-neg-in
78×associate-/r*
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
17×add-exp-log
11×associate-/r/ add-cbrt-cube
10×distribute-neg-frac
8×div-exp associate-/l*
6×div-inv
5×pow1 expm1-log1p-u flip3-+ flip-+
4×cbrt-undiv log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×log1p-udef expm1-log1p flip3-- pow-flip div-sub log1p-expm1 flip-- inv-pow expm1-udef
Counts
4 → 408
Calls
4 calls:
14.0ms
(/ (- f n) (- (+ f n)))
1.0ms
(expm1 (log1p (/ 1 (/ (- f n) (- (+ f n))))))
19.0ms
(/ 1 (/ (- f n) (- (+ f n))))
1.0ms
(log1p (/ 1 (/ (- f n) (- (+ f n)))))

series496.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ (- f n) (- (+ f n)))
243.0ms
(expm1 (log1p (/ 1 (/ (- f n) (- (+ f n))))))
70.0ms
(/ 1 (/ (- f n) (- (+ f n))))
115.0ms
(log1p (/ 1 (/ (- f n) (- (+ f n)))))

simplify111.0ms

Algorithm
egg-herbie
Counts
420 → 420
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
010044155
145413744
250023389

prune601.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(pow (/ (- (+ f n)) (- f n)) 3)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
374×*-un-lft-identity
300×times-frac
270×add-sqr-sqrt
148×add-cube-cbrt
138×cbrt-prod
132×unpow-prod-down cube-prod
104×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
12×associate-/l*
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt sqr-pow
1×neg-sub0 pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 div-sub cube-neg clear-num rem-cbrt-cube flip-+
Counts
3 → 402
Calls
3 calls:
25.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
10.0ms
(/ (- (+ f n)) (- f n))
16.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series259.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
68.0ms
(/ (- (+ f n)) (- f n))
81.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify128.0ms

Algorithm
egg-herbie
Counts
411 → 411
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09643812
146943496
250013496

prune467.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes57.0ms

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
0178
1188
2188

end0.0ms

sample298.0ms

Algorithm
intervals
Results
168.0ms8000×body80valid