Details

Time bar (total: 4.8s)

sample259.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
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:
19.0ms
(/ (- (+ f n)) (- f n))

series85.0ms

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

simplify64.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune153.0ms

Filtered
98 candidates to 60 candidates (61.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite106.0ms

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 log-prod flip3-- div-sub flip-- 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 → 252
Calls
3 calls:
33.0ms
(exp (/ (- (+ f n)) (- f n)))
39.0ms
(log (exp (/ (- (+ f n)) (- f n))))
17.0ms
(/ (- (+ f n)) (- f n))

series210.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(exp (/ (- (+ f n)) (- f n)))
62.0ms
(log (exp (/ (- (+ f n)) (- f n))))
65.0ms
(/ (- (+ f n)) (- f n))

simplify82.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
04051660
111121601
235611564
350011561

prune450.0ms

Filtered
261 candidates to 156 candidates (59.8%)
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
(log (* (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n))))))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))
0.5b
(* (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
3410×*-un-lft-identity
1936×times-frac
1928×sqrt-pow1
1912×exp-prod
1170×add-sqr-sqrt
736×distribute-rgt-neg-in
608×distribute-lft-neg-in
594×add-cube-cbrt
550×distribute-lft-out--
492×log-pow
480×distribute-lft-out
378×pow-prod-down
302×pow-prod-up
298×pow-sqr
282×difference-of-squares
152×neg-mul-1
35×pow1
28×associate-/r/
24×sqrt-div associate-/l*
18×sqrt-prod
16×pow1/2
14×neg-sub0 flip3-- div-sub distribute-frac-neg flip-- div-inv
13×add-exp-log
12×exp-neg exp-diff
10×associate-/r* add-cbrt-cube
8×frac-times log-div swap-sqr
6×associate-*r* associate-*l*
4×associate-*r/ associate-*l/ associate-/l/ distribute-neg-frac add-log-exp unswap-sqr
2×cbrt-undiv pow2 frac-2neg flip3-+ pow-plus div-exp rem-log-exp prod-exp clear-num flip-+
1×log-prod sqrt-unprod rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 1235
Calls
4 calls:
433.0ms
(log (* (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n))))))
17.0ms
(/ (- (+ f n)) (- f n))
19.0ms
(/ (- (+ f n)) (- f n))
470.0ms
(* (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))))

series270.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(log (* (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n))))))
63.0ms
(/ (- (+ f n)) (- f n))
60.0ms
(/ (- (+ f n)) (- f n))
83.0ms
(* (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))))

simplify173.0ms

Algorithm
egg-herbie
Counts
1247 → 1247
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
010678083
139357138
250026287

prune1.2s

Filtered
1247 candidates to 356 candidates (28.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
11.0ms
(/ (+ f n) (- f n))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (+ f n) (- f n))

simplify42.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0169288
1510274
21435270
35001270

prune81.0ms

Filtered
48 candidates to 32 candidates (66.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample281.0ms

Algorithm
intervals
Results
162.0ms8000×body80valid