Details

Time bar (total: 4.6s)

sample265.0ms

Algorithm
intervals
Results
6.0ms256×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

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))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(/ (- (+ f n)) (- f n))

simplify69.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune160.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite109.0ms

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
(exp (/ (- (+ f n)) (- f n)))
41.0ms
(log (exp (/ (- (+ f n)) (- f n))))
18.0ms
(/ (- (+ f n)) (- f n))

series218.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(exp (/ (- (+ f n)) (- f n)))
64.0ms
(log (exp (/ (- (+ f n)) (- f n))))
69.0ms
(/ (- (+ f n)) (- f n))

simplify86.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
04141692
111281633
236531596
350021593

prune454.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
522×*-un-lft-identity
420×times-frac
378×add-sqr-sqrt
276×cbrt-prod
208×add-cube-cbrt
198×unpow-prod-down cube-prod
144×distribute-lft-neg-in distribute-rgt-neg-in
142×log-pow
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
6×pow1
5×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cube-mult pow-unpow log-prod 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 rem-log-exp cube-neg clear-num rem-cbrt-cube flip-+
Counts
4 → 557
Calls
4 calls:
127.0ms
(log (exp (cbrt (pow (/ (- (+ f n)) (- f n)) 3))))
17.0ms
(/ (- (+ f n)) (- f n))
23.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
30.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))

series363.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(log (exp (cbrt (pow (/ (- (+ f n)) (- f n)) 3))))
68.0ms
(/ (- (+ f n)) (- f n))
75.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
112.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))

simplify147.0ms

Algorithm
egg-herbie
Counts
569 → 569
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010884619
148974250
250014250

prune711.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
375×*-un-lft-identity
300×times-frac
271×add-sqr-sqrt
149×add-cube-cbrt
139×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/
9×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-/r* flip-- div-inv
4×expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
3×pow-unpow
2×cbrt-undiv cube-div cube-mult pow1/3 unpow3 distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt sqr-pow
1×neg-sub0 frac-times pow-to-exp pow-pow frac-2neg flip3-+ div-sub associate-*r/ cube-neg associate-*l/ clear-num rem-cbrt-cube flip-+
Counts
4 → 416
Calls
4 calls:
18.0ms
(/ (- (+ f n)) (- f n))
21.0ms
(cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
27.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
27.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))

series366.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ (- (+ f n)) (- f n))
106.0ms
(cbrt (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))))
79.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
112.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))

simplify129.0ms

Algorithm
egg-herbie
Counts
428 → 428
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09833949
147573630
250013630

prune649.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02018
12518
23018
33418
44318
54718
65118
75118

end0.0ms

sample276.0ms

Algorithm
intervals
Results
156.0ms8000×body80valid