Details

Time bar (total: 3.9s)

sample263.0ms

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))

rewrite26.0ms

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))

series81.0ms

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

simplify70.0ms

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: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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:
26.0ms
(/ 1 (/ (- f n) (- (+ f n))))
16.0ms
(/ (- f n) (- (+ f n)))

series136.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ 1 (/ (- f n) (- (+ f n))))
69.0ms
(/ (- f n) (- (+ f n)))

simplify107.0ms

Algorithm
egg-herbie
Counts
392 → 392
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
09343957
143703574
250013221

prune400.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)

rewrite91.0ms

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:
24.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
16.0ms
(/ (- (+ f n)) (- f n))
23.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series245.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
63.0ms
(/ (- (+ f n)) (- f n))
74.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify133.0ms

Algorithm
egg-herbie
Counts
411 → 411
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09643812
146943496
250013496

prune434.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
238×*-un-lft-identity
180×times-frac
170×add-sqr-sqrt
94×add-cube-cbrt
68×distribute-lft-neg-in distribute-rgt-neg-in
67×cbrt-prod
38×distribute-lft-out-- difference-of-squares
34×distribute-lft-out
24×associate-/l*
17×neg-mul-1
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/r/
4×pow1 expm1-log1p-u cbrt-div log1p-expm1-u associate-/l/ distribute-neg-frac add-log-exp
3×flip3-- flip-- div-inv
2×cbrt-undiv neg-sub0 frac-2neg flip3-+ pow1/3 div-sub distribute-frac-neg div-exp clear-num flip-+
1×frac-times associate-*r/ associate-*l/
Counts
4 → 285
Calls
4 calls:
19.0ms
(/ (- (+ f n)) (- f n))
16.0ms
(/ (- (+ f n)) (- f n))
9.0ms
(cbrt (/ (- (+ f n)) (- f n)))
19.0ms
(cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))

series460.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (- (+ f n)) (- f n))
66.0ms
(/ (- (+ f n)) (- f n))
227.0ms
(cbrt (/ (- (+ f n)) (- f n)))
103.0ms
(cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))

simplify93.0ms

Algorithm
egg-herbie
Counts
297 → 297
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
04092591
110942525
233042475
350012468

prune633.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes54.0ms

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
0145
1155
2155

end0.0ms

sample288.0ms

Algorithm
intervals
Results
162.0ms8000×body80valid