Details

Time bar (total: 1.8s)

analyze103.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1254
2274
3274

prune10.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
10.0ms
(* x (+ 2.0 x))
7.0ms
(+ (* y y) (* x (+ 2.0 x)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* x (+ 2.0 x))
11.0ms
(+ (* y y) (* x (+ 2.0 x)))

simplify38.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0206183
11038169
25001169

prune50.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh011
Picked011
Done000
Total39544

Merged error: 0b

Counts
44 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
5.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
4.0ms
(+ (* x 2.0) (* x x))

series11.0ms

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

simplify96.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0182191
1887164
23634160
35002160

prune43.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New31031
Fresh033
Picked011
Done011
Total31536

Merged error: 0b

Counts
36 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
3.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
3.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
3.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
22.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
24.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
22.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))

simplify140.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
02921272
110541193
249531095
350011095

prune229.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done022
Total995104

Merged error: 0b

Counts
104 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* y y) (* x (+ 2.0 x))))
0.0b
(+ (* y y) (* x (+ 2.0 x)))
0.0b
(+ (* y y) (* x (+ 2.0 x)))
0.1b
(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
14×sqrt-div
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×swap-sqr add-log-exp
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×frac-times associate-+r+ unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
3.0ms
(sqrt (+ (* y y) (* x (+ 2.0 x))))
6.0ms
(+ (* y y) (* x (+ 2.0 x)))
4.0ms
(+ (* y y) (* x (+ 2.0 x)))
11.0ms
(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

series31.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (+ (* y y) (* x (+ 2.0 x))))
6.0ms
(+ (* y y) (* x (+ 2.0 x)))
6.0ms
(+ (* y y) (* x (+ 2.0 x)))
7.0ms
(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0252898
11090810
25001783

prune146.0ms

Filtered
60 candidates to 110 candidates (-83.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1100110
Fresh011
Picked011
Done033
Total1105115

Merged error: 0b

Counts
115 → 5

regimes215.0ms

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
0104
1104

end0.0ms

analyze66.0ms

Algorithm
search

sample371.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid
0.0ms2×body80invalid

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