Details

Time bar (total: 4.4s)

sample261.0ms

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))

rewrite27.0ms

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:
21.0ms
(/ (- (+ f n)) (- f n))

series83.0ms

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

simplify69.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune155.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

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)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ 1 (/ (- f n) (- (+ f n))))
70.0ms
(/ (- f n) (- (+ f n)))

simplify107.0ms

Algorithm
egg-herbie
Counts
388 → 388
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
09253936
143463555
250013203

prune401.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
98×times-frac
94×add-sqr-sqrt
78×exp-prod
60×add-cube-cbrt
54×pow-flip
29×log-pow
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
13×log-prod
9×add-exp-log
8×associate-/r* associate-/r/ add-cbrt-cube
7×pow1 associate-/l*
6×div-inv
5×div-exp add-log-exp
4×flip3-- rem-log-exp flip--
2×cbrt-undiv rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
1×log-div flip3-+ log-rec flip-+ rem-exp-log
Counts
4 → 191
Calls
4 calls:
38.0ms
(log (/ 1 (exp (/ (+ f n) (- f n)))))
19.0ms
(exp (/ (+ f n) (- f n)))
45.0ms
(/ 1 (exp (/ (+ f n) (- f n))))
11.0ms
(/ (+ f n) (- f n))

series382.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(log (/ 1 (exp (/ (+ f n) (- f n)))))
75.0ms
(exp (/ (+ f n) (- f n)))
119.0ms
(/ 1 (exp (/ (+ f n) (- f n))))
61.0ms
(/ (+ f n) (- f n))

simplify90.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
03921249
111041153
235371103
350021100

prune372.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (* (sqrt (exp (/ (+ f n) (- f n)))) (sqrt (exp (/ (+ f n) (- f n))))))
0.0b
(/ (+ f n) (- f n))
0.0b
(/ (+ f n) (- f n))
0.6b
(* (sqrt (exp (/ (+ f n) (- f n)))) (sqrt (exp (/ (+ f n) (- f n)))))

rewrite622.0ms

Algorithm
rewrite-expression-head
Rules
1092×*-un-lft-identity
624×sqrt-pow1
608×exp-prod
563×times-frac
380×add-sqr-sqrt
204×add-cube-cbrt
188×distribute-lft-out
166×pow-flip
162×distribute-lft-out--
118×pow-prod-down
106×pow-prod-up
102×pow-sqr
82×difference-of-squares
35×pow1
28×associate-/r/
21×add-exp-log
18×sqrt-prod
16×pow1/2
15×add-cbrt-cube div-inv
14×flip3-- flip--
11×associate-/r* associate-/l*
8×swap-sqr
6×div-exp associate-*r* associate-*l*
4×cbrt-undiv prod-exp associate-/l/ add-log-exp unswap-sqr
3×frac-2neg clear-num
2×pow2 rec-exp flip3-+ pow-plus 1-exp cbrt-unprod flip-+
1×sqrt-unprod rem-square-sqrt *-commutative inv-pow
Counts
4 → 483
Calls
4 calls:
336.0ms
(/ 1 (* (sqrt (exp (/ (+ f n) (- f n)))) (sqrt (exp (/ (+ f n) (- f n))))))
13.0ms
(/ (+ f n) (- f n))
11.0ms
(/ (+ f n) (- f n))
196.0ms
(* (sqrt (exp (/ (+ f n) (- f n)))) (sqrt (exp (/ (+ f n) (- f n)))))

series334.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(/ 1 (* (sqrt (exp (/ (+ f n) (- f n)))) (sqrt (exp (/ (+ f n) (- f n))))))
66.0ms
(/ (+ f n) (- f n))
66.0ms
(/ (+ f n) (- f n))
83.0ms
(* (sqrt (exp (/ (+ f n) (- f n)))) (sqrt (exp (/ (+ f n) (- f n)))))

simplify117.0ms

Algorithm
egg-herbie
Counts
495 → 495
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
07083265
130732993
250012493

prune647.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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

sample300.0ms

Algorithm
intervals
Results
170.0ms8000×body80valid