Details

Time bar (total: 4.8s)

sample279.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify18.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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:
11.0ms
(/ (- (+ f n)) (- f n))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(/ (- (+ f n)) (- f n))

simplify70.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune150.0ms

Filtered
100 candidates to 62 candidates (62.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh000
Picked011
Done000
Total974101

Merged error: 0b

Counts
101 → 4

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))

rewrite62.0ms

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:
15.0ms
(exp (/ (- (+ f n)) (- f n)))
20.0ms
(log (exp (/ (- (+ f n)) (- f n))))
10.0ms
(/ (- (+ f n)) (- f n))

series229.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(exp (/ (- (+ f n)) (- f n)))
68.0ms
(log (exp (/ (- (+ f n)) (- f n))))
70.0ms
(/ (- (+ f n)) (- f n))

simplify86.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
04141692
111281633
236531596
350021593

prune421.0ms

Filtered
267 candidates to 162 candidates (60.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2661267
Fresh112
Picked101
Done011
Total2683271

Merged error: 0b

Counts
271 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (- (+ f n)) (- f n)))
0.0b
(/ (- (+ f n)) (- f n))
0.4b
(exp (exp (/ (- (+ f n)) (- f n))))
0.5b
(log (exp (exp (/ (- (+ f n)) (- f n)))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
160×*-un-lft-identity
120×times-frac
116×add-sqr-sqrt
72×exp-prod
66×add-cube-cbrt
44×distribute-lft-neg-in distribute-rgt-neg-in
25×distribute-lft-out-- difference-of-squares
22×distribute-lft-out
12×associate-/l*
11×neg-mul-1
6×add-exp-log add-cbrt-cube add-log-exp
5×pow1 associate-/r*
4×expm1-log1p-u associate-/r/ log-pow log1p-expm1-u
3×log-prod
2×neg-sub0 flip3-- div-sub distribute-frac-neg flip-- div-inv rem-exp-log associate-/l/ distribute-neg-frac
1×cbrt-undiv exp-neg frac-2neg flip3-+ exp-diff div-exp rem-log-exp clear-num flip-+
Counts
4 → 205
Calls
4 calls:
17.0ms
(exp (/ (- (+ f n)) (- f n)))
10.0ms
(/ (- (+ f n)) (- f n))
10.0ms
(exp (exp (/ (- (+ f n)) (- f n))))
10.0ms
(log (exp (exp (/ (- (+ f n)) (- f n)))))

series535.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(exp (/ (- (+ f n)) (- f n)))
70.0ms
(/ (- (+ f n)) (- f n))
289.0ms
(exp (exp (/ (- (+ f n)) (- f n))))
88.0ms
(log (exp (exp (/ (- (+ f n)) (- f n)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
03911502
111111432
234311409
350011402

prune477.0ms

Filtered
217 candidates to 137 candidates (63.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2170217
Fresh011
Picked011
Done011
Total2173220

Merged error: 0b

Counts
220 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt f) (sqrt n))
0.1b
(/ -1 (+ (sqrt f) (sqrt n)))
0.1b
(* (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))))
0.1b
(/ (+ f n) (- (sqrt f) (sqrt n)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
184×*-un-lft-identity
170×add-sqr-sqrt
113×sqrt-prod
106×times-frac
78×add-cube-cbrt
42×associate-*r*
40×difference-of-squares
36×prod-diff
33×distribute-lft-out
21×associate-*l*
20×add-exp-log add-cbrt-cube distribute-lft-out--
14×associate-/r*
8×associate-/r/
7×associate-/l*
6×pow1 cbrt-undiv fma-neg div-exp add-log-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv unswap-sqr
3×flip3-- flip3-+ flip-- flip-+
2×frac-2neg clear-num associate-/l/
1×frac-times sub-neg diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 257
Calls
4 calls:
8.0ms
(- (sqrt f) (sqrt n))
7.0ms
(/ -1 (+ (sqrt f) (sqrt n)))
34.0ms
(* (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))))
11.0ms
(/ (+ f n) (- (sqrt f) (sqrt n)))

series1.1s

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (sqrt f) (sqrt n))
76.0ms
(/ -1 (+ (sqrt f) (sqrt n)))
806.0ms
(* (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))))
194.0ms
(/ (+ f n) (- (sqrt f) (sqrt n)))

simplify119.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
07972980
136192366
250022243

prune425.0ms

Filtered
269 candidates to 141 candidates (52.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2690269
Fresh000
Picked011
Done022
Total2693272

Merged error: 0b

Counts
272 → 3

regimes49.0ms

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
0124
1134
2134

end0.0ms

sample320.0ms

Algorithm
intervals
Results
194.0ms8000×body80valid