Details

Time bar (total: 7.1s)

sample309.0ms

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))

rewrite64.0ms

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:
58.0ms
(/ (- (+ f n)) (- f n))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (- (+ f n)) (- f n))

simplify67.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune144.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite158.0ms

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:
57.0ms
(log (exp (/ (- (+ f n)) (- f n))))
30.0ms
(/ (- (+ f n)) (- f n))
55.0ms
(exp (/ (- (+ f n)) (- f n)))

series197.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(log (exp (/ (- (+ f n)) (- f n))))
59.0ms
(/ (- (+ f n)) (- f n))
79.0ms
(exp (/ (- (+ f n)) (- f n)))

simplify80.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
04141692
111281633
236541596
350011593

prune425.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
521×*-un-lft-identity
420×times-frac
377×add-sqr-sqrt
276×cbrt-prod
207×add-cube-cbrt
198×unpow-prod-down cube-prod
144×distribute-lft-neg-in distribute-rgt-neg-in
141×exp-prod
85×distribute-lft-out-- difference-of-squares
72×distribute-lft-out
36×neg-mul-1
14×associate-/r/
12×associate-/l*
9×add-exp-log add-cbrt-cube
7×flip3-- flip-- div-inv
5×pow1 associate-/r* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×cube-mult pow-unpow unpow3 sqr-pow
2×cbrt-undiv cube-div distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt
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-+ rem-exp-log
Counts
4 → 553
Calls
4 calls:
31.0ms
(/ (- (+ f n)) (- f n))
158.0ms
(exp (cbrt (pow (/ (- (+ f n)) (- f n)) 3)))
39.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
33.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series493.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ (- (+ f n)) (- f n))
268.0ms
(exp (cbrt (pow (/ (- (+ f n)) (- f n)) 3)))
95.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
69.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify141.0ms

Algorithm
egg-herbie
Counts
565 → 565
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010344991
148454525
250034525

prune716.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
0.0b
(pow (/ (- (+ f n)) (- f n)) 3)
0.5b
(log1p (exp (cbrt (pow (/ (- (+ f n)) (- f n)) 3))))
0.5b
(expm1 (log1p (exp (cbrt (pow (/ (- (+ f n)) (- f n)) 3)))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
294×*-un-lft-identity
240×times-frac
214×add-sqr-sqrt
138×cbrt-prod
132×unpow-prod-down cube-prod
118×add-cube-cbrt
80×distribute-lft-neg-in distribute-rgt-neg-in
48×distribute-lft-out-- difference-of-squares
40×distribute-lft-out
20×neg-mul-1
8×associate-/r/
7×add-exp-log add-cbrt-cube
5×pow1 expm1-log1p-u
4×flip3-- flip-- log1p-expm1-u div-inv add-log-exp
3×pow-unpow
2×cube-div cube-mult unpow3 pow-exp rem-cube-cbrt sqr-pow
1×cbrt-undiv pow-to-exp cbrt-div log1p-udef expm1-log1p pow-pow pow1/3 log1p-expm1 distribute-frac-neg div-exp cube-neg rem-cbrt-cube expm1-udef
Counts
4 → 327
Calls
4 calls:
38.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
36.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
0.0ms
(log1p (exp (cbrt (pow (/ (- (+ f n)) (- f n)) 3))))
0.0ms
(expm1 (log1p (exp (cbrt (pow (/ (- (+ f n)) (- f n)) 3)))))

series2.8s

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
70.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
1.5s
(log1p (exp (cbrt (pow (/ (- (+ f n)) (- f n)) 3))))
1.1s
(expm1 (log1p (exp (cbrt (pow (/ (- (+ f n)) (- f n)) 3)))))

simplify112.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09193316
143492979
250022973

prune443.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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

sample315.0ms

Algorithm
intervals
Results
155.0ms8000×body80valid