Details

Time bar (total: 7.7s)

sample261.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify16.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:
20.0ms
(/ (- (+ f n)) (- f n))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(/ (- (+ f n)) (- f n))

simplify67.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune154.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- f n) (- (+ f n)))
0.0b
(/ 1 (/ (- f n) (- (+ f n))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
438×*-un-lft-identity
334×add-sqr-sqrt
212×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
15×add-exp-log
11×associate-/r/
10×distribute-neg-frac
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 386
Calls
2 calls:
18.0ms
(/ (- f n) (- (+ f n)))
30.0ms
(/ 1 (/ (- f n) (- (+ f n))))

series135.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (- f n) (- (+ f n)))
69.0ms
(/ 1 (/ (- f n) (- (+ f n))))

simplify105.0ms

Algorithm
egg-herbie
Counts
392 → 392
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
09343957
143703574
250013221

prune390.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ n (- (+ f n)))
0.0b
(/ f (- (+ f n)))
0.0b
(- (/ f (- (+ f n))) (/ n (- (+ f n))))
0.0b
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))

rewrite708.0ms

Algorithm
rewrite-expression-head
Rules
3445×times-frac
3402×*-un-lft-identity
2050×add-sqr-sqrt
1990×add-cube-cbrt
1764×prod-diff
1132×distribute-rgt-neg-in
1112×distribute-lft-neg-in
576×distribute-lft-out
273×neg-mul-1
198×associate-/r/
194×distribute-neg-frac
105×distribute-lft-out--
98×div-inv
97×flip3-+ flip-+
55×associate-/r*
42×fma-neg
20×difference-of-squares
15×distribute-rgt-out--
12×add-exp-log
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×expm1-log1p-u div-exp log1p-expm1-u
3×cbrt-undiv frac-2neg clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 2133
Calls
4 calls:
10.0ms
(/ n (- (+ f n)))
11.0ms
(/ f (- (+ f n)))
191.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))
207.0ms
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ n (- (+ f n)))
42.0ms
(/ f (- (+ f n)))
72.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))
86.0ms
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))

simplify517.0ms

Algorithm
egg-herbie
Counts
2145 → 2145
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0327570507
1500158690

prune3.8s

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))
3.5b
(log1p (/ (- (+ f n)) (- f n)))

rewrite24.0ms

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))))
17.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(log1p (/ (- (+ f n)) (- f n)))

series427.0ms

Counts
3 → 9
Calls
3 calls:
243.0ms
(expm1 (log1p (/ (- (+ f n)) (- f n))))
67.0ms
(/ (- (+ f n)) (- f n))
118.0ms
(log1p (/ (- (+ f n)) (- f n)))

simplify74.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0364946
11083907
23442885
35001884

prune249.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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
0158
1168
2168

end0.0ms

sample291.0ms

Algorithm
intervals
Results
162.0ms8000×body80valid