Details

Time bar (total: 4.9s)

sample274.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify15.0ms

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))

rewrite24.0ms

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:
19.0ms
(/ (- (+ f n)) (- f n))

series83.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (- (+ f n)) (- f n))

simplify67.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune150.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite102.0ms

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:
34.0ms
(log (exp (/ (- (+ f n)) (- f n))))
17.0ms
(/ (- (+ f n)) (- f n))
34.0ms
(exp (/ (- (+ f n)) (- f n)))

series214.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(log (exp (/ (- (+ f n)) (- f n))))
63.0ms
(/ (- (+ f n)) (- f n))
85.0ms
(exp (/ (- (+ f n)) (- f n)))

simplify84.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
04141692
111281633
236541596
350011593

prune456.0ms

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
159×*-un-lft-identity
120×times-frac
115×add-sqr-sqrt
66×pow-unpow
65×add-cube-cbrt
44×distribute-lft-neg-in distribute-rgt-neg-in
25×distribute-lft-out-- difference-of-squares
22×distribute-lft-out
12×associate-/l*
11×neg-mul-1
8×add-exp-log
7×log-prod
6×unpow-prod-down
5×associate-/r* add-cbrt-cube
4×pow1 distribute-frac-neg rem-log-exp pow-exp associate-/r/
3×neg-sub0 expm1-log1p-u pow-neg div-sub log1p-expm1-u add-log-exp
2×pow-to-exp log-div e-exp-1 flip3-- flip-- div-inv associate-/l/ distribute-neg-frac pow-sub sqr-pow
1×cbrt-undiv pow-pow frac-2neg flip3-+ div-exp log-rec clear-num log-pow flip-+
Counts
3 → 206
Calls
3 calls:
2.0ms
(log (pow E (/ (- (+ f n)) (- f n))))
10.0ms
(pow E (/ (- (+ f n)) (- f n)))
19.0ms
(/ (- (+ f n)) (- f n))

series276.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(log (pow E (/ (- (+ f n)) (- f n))))
105.0ms
(pow E (/ (- (+ f n)) (- f n)))
66.0ms
(/ (- (+ f n)) (- f n))

simplify52.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
05511473
119621424
250011392

prune394.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt E) (/ (- (+ f n)) (- f n)))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))
0.6b
(* (pow (sqrt E) (/ (- (+ f n)) (- f n))) (pow (sqrt E) (/ (- (+ f n)) (- f n))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
252×*-un-lft-identity
212×add-sqr-sqrt
180×times-frac
108×add-cube-cbrt
68×distribute-lft-neg-in distribute-rgt-neg-in
66×pow-unpow
50×unpow-prod-down
38×distribute-lft-out-- difference-of-squares
34×distribute-lft-out
25×sqrt-prod
24×associate-/l*
21×add-exp-log
17×neg-mul-1
16×unswap-sqr
13×sqr-pow
12×swap-sqr
10×distribute-frac-neg associate-*r* associate-*l* associate-/r* add-cbrt-cube
9×neg-sub0 div-sub prod-exp
8×pow-neg
7×pow-to-exp pow-exp pow-sub
6×pow1 associate-/r/
4×expm1-log1p-u frac-times log1p-expm1-u associate-/l/ distribute-neg-frac add-log-exp
3×flip3-- pow-pow flip-- div-inv
2×cbrt-undiv frac-2neg flip3-+ associate-*r/ div-exp associate-*l/ clear-num flip-+
1×pow2 sqrt-pow1 pow1/2 pow-prod-down pow-sqr un-div-inv *-commutative pow-prod-up sqrt-pow2 cbrt-unprod
Counts
4 → 365
Calls
4 calls:
11.0ms
(pow (sqrt E) (/ (- (+ f n)) (- f n)))
16.0ms
(/ (- (+ f n)) (- f n))
19.0ms
(/ (- (+ f n)) (- f n))
16.0ms
(* (pow (sqrt E) (/ (- (+ f n)) (- f n))) (pow (sqrt E) (/ (- (+ f n)) (- f n))))

series1.2s

Counts
4 → 12
Calls
4 calls:
572.0ms
(pow (sqrt E) (/ (- (+ f n)) (- f n)))
64.0ms
(/ (- (+ f n)) (- f n))
70.0ms
(/ (- (+ f n)) (- f n))
541.0ms
(* (pow (sqrt E) (/ (- (+ f n)) (- f n))) (pow (sqrt E) (/ (- (+ f n)) (- f n))))

simplify87.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06463389
126263231
250023179

prune833.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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
0176
1206
2206

end0.0ms

sample294.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid