Details

Time bar (total: 2.0s)

sample35.0ms

Algorithm
intervals
Results
15.0ms452×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1254
2274
3274

prune8.0ms

Filtered
1 candidates to 1 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 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 2.0) (* x x))
0.0b
(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
3.0ms
(+ (* x 2.0) (* x x))
5.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* x 2.0) (* x x))
6.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

simplify95.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0182191
1887164
23634160
35002160

prune44.0ms

Filtered
23 candidates to 31 candidates (-34.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29231
Fresh011
Picked011
Done000
Total29433

Merged error: 0b

Counts
33 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y y) (* x (+ 2.0 x)))
0.0b
(* x (+ 2.0 x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
associate-*l*
distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
4.0ms
(+ (* y y) (* x (+ 2.0 x)))
5.0ms
(* x (+ 2.0 x))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* y y) (* x (+ 2.0 x)))
4.0ms
(* x (+ 2.0 x))

simplify31.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0206183
11038169
25002169

prune47.0ms

Filtered
27 candidates to 42 candidates (-55.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New41142
Fresh112
Picked011
Done011
Total42446

Merged error: 0b

Counts
46 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
0.6b
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.6b
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.6b
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
13.0ms
(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
5.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
5.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
5.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

series145.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
37.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
34.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
37.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03371597
111201504
250011373

prune237.0ms

Filtered
78 candidates to 99 candidates (-26.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done022
Total994103

Merged error: 0b

Counts
103 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (exp (log (* x (+ 2.0 x)))))
0.0b
(* x (+ 2.0 x))
3.6b
(exp (log (* x (+ 2.0 x))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
add-exp-log exp-prod add-cbrt-cube add-log-exp
associate-*r/ associate-*r*
flip3-+ associate-*l* flip-+
log-div exp-diff pow-prod-down log-pow
+-commutative distribute-rgt-in log-prod distribute-lft-in exp-sum prod-exp sum-log *-commutative cbrt-unprod rem-exp-log distribute-lft-out unswap-sqr
Counts
3 → 50
Calls
3 calls:
6.0ms
(+ (* y y) (exp (log (* x (+ 2.0 x)))))
5.0ms
(* x (+ 2.0 x))
5.0ms
(exp (log (* x (+ 2.0 x))))

series14.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* y y) (exp (log (* x (+ 2.0 x)))))
4.0ms
(* x (+ 2.0 x))
4.0ms
(exp (log (* x (+ 2.0 x))))

simplify34.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0243270
11138236
25002236

prune71.0ms

Filtered
38 candidates to 59 candidates (-55.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done033
Total59463

Merged error: 0b

Counts
63 → 4

regimes198.0ms

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

sample887.0ms

Algorithm
intervals
Results
482.0ms14229×body80valid

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