Details

Time bar (total: 4.5s)

sample80.0ms

Algorithm
intervals
Results
54.0ms284×body10240exit
6.0ms198×body80valid
3.0ms29×body320valid
2.0ms16×body640valid
1.0ms17×body160valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0209
1489
21079
32248
415148
550018

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.8b

Counts
2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ wj (+ wj 1))
0.0b
(/ x (+ wj 1))
0.0b
(/ (/ x (+ wj 1)) (exp wj))
5.4b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
118×*-un-lft-identity
78×add-sqr-sqrt
73×add-cube-cbrt
24×associate-/l*
21×distribute-lft-out
13×add-cbrt-cube
12×associate-/r/
11×add-exp-log associate-/r*
add-log-exp
flip3-+ flip-+ div-inv
cbrt-undiv div-exp
pow1
frac-2neg clear-num
diff-log frac-sub distribute-lft-out-- difference-of-squares
sub-neg flip3-- associate--l+ sum-log flip-- associate-/l/
Counts
4 → 176
Calls
4 calls:
5.0ms
(/ wj (+ wj 1))
5.0ms
(/ x (+ wj 1))
10.0ms
(/ (/ x (+ wj 1)) (exp wj))
35.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ wj (+ wj 1))
22.0ms
(/ x (+ wj 1))
40.0ms
(/ (/ x (+ wj 1)) (exp wj))
67.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify79.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07211524
133031471
250011469

prune395.0ms

Filtered
188 candidates to 138 candidates (73.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1835188
Fresh011
Picked101
Done000
Total1846190

Merged error: 0.2b

Counts
190 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2 (* wj x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*l* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
5.0ms
(* 2 (* wj x))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* 2 (* wj x))

simplify78.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08666
131856
2123556
3344456
4500156

prune39.0ms

Filtered
21 candidates to 11 candidates (52.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New21021
Fresh055
Picked011
Done000
Total21627

Merged error: 0.2b

Counts
27 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ wj 1))
0.0b
(/ wj (+ wj 1))
0.0b
(/ (/ x (+ wj 1)) (exp wj))
6.2b
(- wj (/ wj (+ wj 1)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
115×*-un-lft-identity
78×add-sqr-sqrt
73×add-cube-cbrt
24×associate-/l*
20×distribute-lft-out
13×add-cbrt-cube
12×associate-/r/
11×add-exp-log associate-/r*
div-inv
flip3-+ flip-+ add-log-exp
cbrt-undiv div-exp
pow1
frac-2neg clear-num
difference-of-squares
sub-neg flip3-- diff-log flip-- associate-/l/ distribute-lft-out--
Counts
4 → 171
Calls
4 calls:
5.0ms
(/ x (+ wj 1))
5.0ms
(/ wj (+ wj 1))
10.0ms
(/ (/ x (+ wj 1)) (exp wj))
10.0ms
(- wj (/ wj (+ wj 1)))

series112.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ x (+ wj 1))
21.0ms
(/ wj (+ wj 1))
40.0ms
(/ (/ x (+ wj 1)) (exp wj))
29.0ms
(- wj (/ wj (+ wj 1)))

simplify74.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06341321
128441269
250011267

prune355.0ms

Filtered
183 candidates to 135 candidates (73.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1812183
Fresh134
Picked101
Done101
Total1845189

Merged error: 0.1b

Counts
189 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow wj 4) (pow wj 2))
0.0b
(/ x (+ wj 1))
0.0b
(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
0.0b
(/ (/ x (+ wj 1)) (exp wj))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
103×*-un-lft-identity
71×add-sqr-sqrt
64×add-cube-cbrt
21×associate-/l*
18×distribute-lft-out
11×add-cbrt-cube add-log-exp
10×associate-/r/
add-exp-log
associate-/r*
flip3-+ flip-+ div-inv
pow1 cbrt-undiv div-exp difference-of-squares
frac-2neg diff-log clear-num sum-log distribute-lft-out--
+-commutative sub-neg unpow-prod-down flip3-- cube-prod associate--l+ flip-- associate-/l/ sqr-pow
Counts
4 → 155
Calls
4 calls:
10.0ms
(+ (pow wj 4) (pow wj 2))
5.0ms
(/ x (+ wj 1))
13.0ms
(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
10.0ms
(/ (/ x (+ wj 1)) (exp wj))

series161.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ (pow wj 4) (pow wj 2))
27.0ms
(/ x (+ wj 1))
25.0ms
(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
39.0ms
(/ (/ x (+ wj 1)) (exp wj))

simplify72.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06341329
128711271
250021265

prune456.0ms

Filtered
167 candidates to 119 candidates (71.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1661167
Fresh044
Picked011
Done000
Total1666172

Merged error: 0.1b

Counts
172 → 6

regimes93.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02110
12110

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.5s7740×body10240exit
185.0ms6266×body80valid
77.0ms518×body640valid
77.0ms794×body320valid
31.0ms512×body160valid