Details

Time bar (total: 5.2s)

sample262.0ms

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))

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))

simplify67.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune158.0ms

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)))

rewrite70.0ms

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:
29.0ms
(/ 1 (/ (- f n) (- (+ f n))))
17.0ms
(/ (- f n) (- (+ f n)))

series136.0ms

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

simplify101.0ms

Algorithm
egg-herbie
Counts
392 → 392
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
09343959
143713574
250013221

prune401.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
889×*-un-lft-identity
586×times-frac
471×add-sqr-sqrt
436×cbrt-prod
241×add-cube-cbrt
224×distribute-rgt-neg-in
196×distribute-lft-neg-in
149×swap-sqr
143×distribute-lft-out--
126×distribute-lft-out
103×difference-of-squares
69×associate-*r* associate-*l*
42×neg-mul-1
36×associate-/l*
15×associate-/r*
14×associate-/r/
12×add-exp-log
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-- flip-- div-inv
6×pow1/3 associate-/l/ distribute-neg-frac
4×expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
3×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg 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 → 610
Calls
4 calls:
150.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
17.0ms
(/ (- (+ f n)) (- f n))
17.0ms
(/ (- (+ f n)) (- f n))
20.0ms
(/ (- (+ f n)) (- f n))

series371.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
65.0ms
(/ (- (+ f n)) (- f n))
65.0ms
(/ (- (+ f n)) (- f n))
69.0ms
(/ (- (+ f n)) (- f n))

simplify122.0ms

Algorithm
egg-herbie
Counts
622 → 622
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06507724
123847626
250017113

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

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
(/ (- (+ f n)) (- f n))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
328×*-un-lft-identity
240×times-frac
232×add-sqr-sqrt
128×add-cube-cbrt
96×distribute-lft-neg-in distribute-rgt-neg-in
52×distribute-lft-out-- difference-of-squares
48×distribute-lft-out associate-/l*
24×neg-mul-1
20×associate-/r*
12×add-exp-log add-cbrt-cube
8×associate-/r/ associate-/l/ distribute-neg-frac
4×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
4 → 388
Calls
4 calls:
18.0ms
(/ (- (+ f n)) (- f n))
20.0ms
(/ (- (+ f n)) (- f n))
18.0ms
(/ (- (+ f n)) (- f n))
18.0ms
(/ (- (+ f n)) (- f n))

series268.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ (- (+ f n)) (- f n))
68.0ms
(/ (- (+ f n)) (- f n))
67.0ms
(/ (- (+ f n)) (- f n))
69.0ms
(/ (- (+ f n)) (- f n))

simplify92.0ms

Algorithm
egg-herbie
Counts
400 → 400
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
02933096
19273032
230372972
350012972

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes81.0ms

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

sample287.0ms

Algorithm
intervals
Results
166.0ms8000×body80valid