Details

Time bar (total: 9.6s)

sample272.0ms

Algorithm
intervals
Results
7.0ms256×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))

rewrite25.0ms

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 flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 95
Calls
1 calls:
20.0ms
(/ (- (+ f n)) (- f n))

series86.0ms

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

simplify66.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune152.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 382
Calls
2 calls:
29.0ms
(/ 1 (/ (- f n) (- (+ f n))))
16.0ms
(/ (- f n) (- (+ f n)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ 1 (/ (- f n) (- (+ f n))))
71.0ms
(/ (- f n) (- (+ f n)))

simplify104.0ms

Algorithm
egg-herbie
Counts
388 → 388
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
09253936
143463555
250013203

prune394.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite865.0ms

Algorithm
rewrite-expression-head
Rules
2724×times-frac
2619×*-un-lft-identity
1531×add-sqr-sqrt
1356×cbrt-prod
949×add-cube-cbrt
528×distribute-rgt-neg-in
448×swap-sqr
444×distribute-lft-neg-in
351×distribute-lft-out--
306×distribute-lft-out
231×difference-of-squares
206×associate-*r* associate-*l*
90×neg-mul-1
36×associate-/r* unswap-sqr
34×associate-/r/
30×distribute-neg-frac
21×div-inv
15×flip3-+ flip-+ associate-/l*
12×add-exp-log
11×pow1
10×add-cbrt-cube
6×pow1/3 associate-/l/
4×cbrt-div add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 1199
Calls
4 calls:
15.0ms
(/ (- f n) (- (+ f n)))
19.0ms
(/ (- f n) (- (+ f n)))
16.0ms
(/ (- f n) (- (+ f n)))
644.0ms
(* (cbrt (/ 1 (/ (- f n) (- (+ f n))))) (cbrt (/ 1 (/ (- f n) (- (+ f n))))))

series380.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (- f n) (- (+ f n)))
68.0ms
(/ (- f n) (- (+ f n)))
65.0ms
(/ (- f n) (- (+ f n)))
180.0ms
(* (cbrt (/ 1 (/ (- f n) (- (+ f n))))) (cbrt (/ 1 (/ (- f n) (- (+ f n))))))

simplify217.0ms

Algorithm
egg-herbie
Counts
1211 → 1211
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0187823243
1500122287

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
1014×times-frac
871×*-un-lft-identity
870×cbrt-prod
671×add-sqr-sqrt
431×add-cube-cbrt
200×distribute-lft-neg-in distribute-rgt-neg-in
120×distribute-lft-out-- difference-of-squares
100×distribute-lft-out
69×associate-/r*
50×neg-mul-1
21×associate-/r/
20×distribute-neg-frac
11×div-inv
10×flip3-+ flip-+
6×add-exp-log associate-/l*
4×pow1 cbrt-div add-cbrt-cube add-log-exp
3×pow1/3
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 727
Calls
4 calls:
37.0ms
(/ (cbrt 1) (cbrt (/ (- f n) (- (+ f n)))))
9.0ms
(cbrt (/ (- f n) (- (+ f n))))
10.0ms
(cbrt (/ (- f n) (- (+ f n))))
9.0ms
(cbrt (/ (- f n) (- (+ f n))))

series1.0s

Counts
4 → 12
Calls
4 calls:
283.0ms
(/ (cbrt 1) (cbrt (/ (- f n) (- (+ f n)))))
236.0ms
(cbrt (/ (- f n) (- (+ f n))))
241.0ms
(cbrt (/ (- f n) (- (+ f n))))
242.0ms
(cbrt (/ (- f n) (- (+ f n))))

simplify139.0ms

Algorithm
egg-herbie
Counts
739 → 739
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
086010697
1201010639
2500110473

prune2.8s

Pruning

5 alts after pruning (2 fresh and 3 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
0145
1155
2155

end0.0ms

sample291.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid