Details

Time bar (total: 3.1s)

analyze320.0ms

Algorithm
search

sample17.0ms

Algorithm
intervals
Results
6.0ms230×body80valid
1.0ms7×body1280valid
1.0ms7×body640valid
0.0ms5×body320valid
0.0ms6×body160valid
0.0ms1×body2560valid

simplify308.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0205
1644
22034
33274
43394
53454
64134
75164
85614
97004
109094
1112714
1239074
1350014

prune11.0ms

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: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
5×flip3-+ flip-+
4×associate-*r/ frac-add
3×sum-log
2×associate-+l+
1×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:
9.0ms
(+ (* 2 (+ x y)) (+ x z))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ (* 2 (+ x y)) (+ x z))

simplify33.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0275199
11174190
25001185

prune48.0ms

Filtered
17 candidates to 22 candidates (-29.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New17522
Fresh101
Picked101
Done000
Total19524

Merged error: 0.1b

Counts
24 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
9×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
2 → 27
Calls
2 calls:
6.0ms
(+ (* y 2) (+ x z))
9.0ms
(+ (* 2 x) (+ (* y 2) (+ x z)))

series11.0ms

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

simplify32.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0205203
1955188
25002187

prune56.0ms

Filtered
24 candidates to 33 candidates (-37.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh134
Picked011
Done000
Total32638

Merged error: 0.1b

Counts
38 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* y 2) (+ x z)))
0.5b
(cbrt (+ (* y 2) (+ x z)))
0.5b
(cbrt (+ (* y 2) (+ x z)))
0.5b
(* (cbrt (+ (* y 2) (+ x z))) (cbrt (+ (* y 2) (+ x z))))

rewrite36.0ms

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:
5.0ms
(cbrt (+ (* y 2) (+ x z)))
5.0ms
(cbrt (+ (* y 2) (+ x z)))
5.0ms
(cbrt (+ (* y 2) (+ x z)))
17.0ms
(* (cbrt (+ (* y 2) (+ x z))) (cbrt (+ (* y 2) (+ x z))))

series184.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (+ (* y 2) (+ x z)))
41.0ms
(cbrt (+ (* y 2) (+ x z)))
45.0ms
(cbrt (+ (* y 2) (+ x z)))
56.0ms
(* (cbrt (+ (* y 2) (+ x z))) (cbrt (+ (* y 2) (+ x z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02961081
110321016
25001924

prune239.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New94599
Fresh134
Picked101
Done011
Total969105

Merged error: 0.0b

Counts
105 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* y 2) (+ x z)))
0.5b
(* (cbrt (+ (* y 2) (+ x z))) (cbrt (+ (* y 2) (+ x z))))
0.6b
(cbrt (cbrt (+ (* y 2) (+ x z))))
0.6b
(cbrt (* (cbrt (+ (* y 2) (+ x z))) (cbrt (+ (* y 2) (+ x z)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-div
29×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×flip3-+ flip-+
11×pow1
9×pow1/3
8×frac-times
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 94
Calls
4 calls:
5.0ms
(cbrt (+ (* y 2) (+ x z)))
15.0ms
(* (cbrt (+ (* y 2) (+ x z))) (cbrt (+ (* y 2) (+ x z))))
6.0ms
(cbrt (cbrt (+ (* y 2) (+ x z))))
13.0ms
(cbrt (* (cbrt (+ (* y 2) (+ x z))) (cbrt (+ (* y 2) (+ x z)))))

series218.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (+ (* y 2) (+ x z)))
57.0ms
(* (cbrt (+ (* y 2) (+ x z))) (cbrt (+ (* y 2) (+ x z))))
51.0ms
(cbrt (cbrt (+ (* y 2) (+ x z))))
68.0ms
(cbrt (* (cbrt (+ (* y 2) (+ x z))) (cbrt (+ (* y 2) (+ x z)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04351377
113231302
250021217

prune332.0ms

Filtered
80 candidates to 106 candidates (-32.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1051106
Fresh077
Picked011
Done011
Total10510115

Merged error: 0.0b

Counts
115 → 10

regimes250.0ms

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

analyze315.0ms

Algorithm
search

sample431.0ms

Algorithm
intervals
Results
207.0ms7395×body80valid
24.0ms202×body1280valid
16.0ms160×body640valid
9.0ms116×body320valid
7.0ms48×body2560valid
6.0ms79×body160valid
0.0ms10×body80invalid

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