Details

Time bar (total: 3.4s)

sample16.0ms

Algorithm
intervals
Results
6.0ms242×body80valid
1.0ms5×body1280valid
0.0ms4×body640valid
0.0ms4×body320valid
0.0ms1×body2560valid

simplify339.0ms

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
1239074
1350014

prune5.0ms

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: 0.0b

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))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(+ (* 2 (+ x y)) (+ x z))

simplify34.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0275199
11174190
25001185

prune49.0ms

Filtered
22 candidates to 17 candidates (77.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New18422
Fresh101
Picked011
Done000
Total19524

Merged error: 0.0b

Counts
24 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-div
85×flip3-+ flip-+
74×associate-*r/
68×frac-add
36×frac-times
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l* associate-*l/
4×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 → 139
Calls
4 calls:
21.0ms
(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
8.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
299.0ms
(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
231.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
239.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))
236.0ms
(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05063272
120143193
250013127

prune457.0ms

Filtered
151 candidates to 109 candidates (72.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1510151
Fresh033
Picked011
Done011
Total1515156

Merged error: 0.0b

Counts
156 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
96×sqrt-div
85×flip3-+ flip-+
74×associate-*r/
68×frac-add
36×frac-times
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×add-log-exp
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* associate-*l/ add-cbrt-cube
5×pow-prod-up
4×unswap-sqr
3×pow-prod-down sum-log pow-sqr
2×rem-sqrt-square associate-+l+
1×+-commutative pow2 distribute-rgt-in associate-+r+ distribute-lft-in pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 154
Calls
4 calls:
9.0ms
(+ (* 2 (+ x y)) (+ x z))
8.0ms
(sqrt (+ (* 2 (+ x y)) (+ x z)))
12.0ms
(sqrt (+ (* 2 (+ x y)) (+ x z)))
22.0ms
(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

series201.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* 2 (+ x y)) (+ x z))
62.0ms
(sqrt (+ (* 2 (+ x y)) (+ x z)))
59.0ms
(sqrt (+ (* 2 (+ x y)) (+ x z)))
60.0ms
(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

simplify91.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05212866
122102777
250012756

prune379.0ms

Filtered
166 candidates to 101 candidates (60.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1651166
Fresh022
Picked011
Done022
Total1656171

Merged error: 0.0b

Counts
171 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×sum-log
1×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:
9.0ms
(+ (* 3 x) (+ z (* 2 y)))

series22.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0111103
143094
2210394
3500194

prune21.0ms

Filtered
16 candidates to 11 candidates (68.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New16016
Fresh022
Picked011
Done033
Total16622

Merged error: 0.0b

Counts
22 → 6

regimes70.0ms

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
0124
1124

end0.0ms

sample406.0ms

Algorithm
intervals
Results
185.0ms7390×body80valid
26.0ms208×body640valid
23.0ms201×body1280valid
11.0ms116×body320valid
5.0ms37×body2560valid
3.0ms58×body160valid

Profiling

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