Details

Time bar (total: 1.2s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1215

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
5.0ms
(* (* x 3.0) x)

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* (* x 3.0) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05095121

prune38.0ms

Filtered
11 candidates to 21 candidates (-90.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.1b

Counts
22 → 6

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 3.0))
0.3b
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
21.6b
(sqrt (* x (* x 3.0)))
21.6b
(sqrt (* x (* x 3.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
4.0ms
(* x (* x 3.0))
11.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
4.0ms
(sqrt (* x (* x 3.0)))
3.0ms
(sqrt (* x (* x 3.0)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* x 3.0))
10.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
3.0ms
(sqrt (* x (* x 3.0)))
4.0ms
(sqrt (* x (* x 3.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05119524

prune146.0ms

Filtered
54 candidates to 120 candidates (-122.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1137120
Fresh224
Picked101
Done011
Total11610126

Merged error: 0.0b

Counts
126 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (sqrt 3.0))
0.4b
(* x (sqrt 3.0))
0.5b
(* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0)))))
21.6b
(sqrt (* x (* x 3.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
29×pow1
27×sqrt-prod
18×add-cube-cbrt *-un-lft-identity associate-*r*
12×associate-*l*
11×sqrt-pow1
10×add-exp-log add-cbrt-cube
9×pow1/2
8×swap-sqr pow-prod-down unswap-sqr
5×pow-prod-up
4×add-log-exp
3×prod-exp pow-sqr *-commutative cbrt-unprod
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 105
Calls
4 calls:
5.0ms
(* x (sqrt 3.0))
5.0ms
(* x (sqrt 3.0))
6.0ms
(* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0)))))
3.0ms
(sqrt (* x (* x 3.0)))

series12.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* x (sqrt 3.0))
4.0ms
(* x (sqrt 3.0))
1.0ms
(* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0)))))
4.0ms
(sqrt (* x (* x 3.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04911679
14911679

prune207.0ms

Filtered
59 candidates to 117 candidates (-98.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh088
Picked011
Done011
Total11710127

Merged error: 0.0b

Counts
127 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
21.6b
(sqrt (* x (* x 3.0)))
21.6b
(sqrt (* (* (cbrt x) (cbrt x)) (* x (* 3.0 (cbrt x)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1
18×pow-prod-down
10×sqrt-pow1
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube add-log-exp
2×pow1/2 pow1/3 sqrt-prod
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(sqrt (* x (* x 3.0)))
9.0ms
(sqrt (* (* (cbrt x) (cbrt x)) (* x (* 3.0 (cbrt x)))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
21.0ms
(cbrt x)
3.0ms
(sqrt (* x (* x 3.0)))
8.0ms
(sqrt (* (* (cbrt x) (cbrt x)) (* x (* 3.0 (cbrt x)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04820265
14820265

prune84.0ms

Filtered
42 candidates to 62 candidates (-47.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh077
Picked011
Done022
Total621072

Merged error: 0.0b

Counts
72 → 10

regimes111.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0205
1205

end0.0ms

sample236.0ms

Algorithm
intervals
Results
144.0ms8000×body80valid

Profiling

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