Details

Time bar (total: 1.6s)

sample15.0ms

Algorithm
intervals
Results
5.0ms235×body80valid
1.0msbody1280valid
0.0msbody640valid
0.0msbody320valid
0.0msbody2560valid
0.0msbody160valid

simplify303.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0205
1644
22034
33274
43394
53454
64134
75164
85614
97004
109094
1112714
1239214
1350014

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 2 (+ x y)) (+ x z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
flip3-+ flip-+
associate-*r/ frac-add
sum-log
associate-+l+
pow1 add-exp-log +-commutative distribute-rgt-in add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity distribute-lft-in add-cbrt-cube
Counts
1 → 19
Calls
1 calls:
8.0ms
(+ (* 2 (+ x y)) (+ x z))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(+ (* 2 (+ x y)) (+ x z))

simplify34.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0275199
11174190
25001185

prune57.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x 2) (+ (* y 2) (+ x z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 14
Calls
1 calls:
9.0ms
(+ (* x 2) (+ (* y 2) (+ x z)))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(+ (* x 2) (+ (* y 2) (+ x z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0137126
1580112
23411112
35002112

prune41.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 3 x) (+ z (* 2 y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
5.0ms
(+ (* 3 x) (+ z (* 2 y)))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(+ (* 3 x) (+ z (* 2 y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0111103
143094
2210394
3500194

prune37.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* 3 x) (+ z (* 2 y))))
0.0b
(+ (* 3 x) (+ z (* 2 y)))
0.0b
(+ (* 3 x) (+ z (* 2 y)))
0.2b
(* (sqrt (+ (* 3 x) (+ z (* 2 y)))) (sqrt (+ (* 3 x) (+ z (* 2 y)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
14×sqrt-div add-log-exp
13×add-cube-cbrt *-un-lft-identity
sqrt-pow1 flip3-+ pow1/2 flip-+
swap-sqr
add-exp-log associate-*r* associate-*l* sum-log add-cbrt-cube
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
+-commutative associate-+r+ associate-*r/ associate-*l/
pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
5.0ms
(sqrt (+ (* 3 x) (+ z (* 2 y))))
5.0ms
(+ (* 3 x) (+ z (* 2 y)))
5.0ms
(+ (* 3 x) (+ z (* 2 y)))
14.0ms
(* (sqrt (+ (* 3 x) (+ z (* 2 y)))) (sqrt (+ (* 3 x) (+ z (* 2 y)))))

series182.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (+ (* 3 x) (+ z (* 2 y))))
22.0ms
(+ (* 3 x) (+ z (* 2 y)))
22.0ms
(+ (* 3 x) (+ z (* 2 y)))
57.0ms
(* (sqrt (+ (* 3 x) (+ z (* 2 y)))) (sqrt (+ (* 3 x) (+ z (* 2 y)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0292908
11200822
25002804

prune194.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

sample371.0ms

Algorithm
intervals
Results
169.0ms7440×body80valid
19.0ms200×body1280valid
14.0ms176×body640valid
9.0ms105×body320valid
3.0ms28×body2560valid
2.0ms61×body160valid