Details

Time bar (total: 1.3s)

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

sample16.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
095
195

prune4.0ms

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

localize4.0ms

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:
4.0ms
(* (* x 3.0) x)

series3.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05188121

prune33.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New17421
Fresh000
Picked011
Done000
Total17522

Merged error: 0.0b

Counts
22 → 5

localize6.0ms

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))))
19.4b
(sqrt (* x (* x 3.0)))
19.4b
(sqrt (* x (* x 3.0)))

rewrite26.0ms

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))))
3.0ms
(sqrt (* x (* x 3.0)))
4.0ms
(sqrt (* x (* x 3.0)))

series16.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* x 3.0))
6.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
3.0ms
(sqrt (* x (* x 3.0)))
4.0ms
(sqrt (* x (* x 3.0)))

simplify37.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05434524

prune131.0ms

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

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1137120
Fresh213
Picked011
Done011
Total11510125

Merged error: 0.0b

Counts
125 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 3.0))
0.3b
(* (fabs (* x (sqrt 3.0))) (sqrt (* x (* x 3.0))))
0.4b
(* x (sqrt 3.0))
19.4b
(sqrt (* x (* x 3.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1
16×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×pow-prod-down
6×sqrt-prod
5×prod-exp cbrt-unprod
4×add-log-exp
3×sqrt-pow1 *-commutative unswap-sqr
1×pow1/2
Counts
4 → 71
Calls
4 calls:
5.0ms
(* x (* x 3.0))
6.0ms
(* (fabs (* x (sqrt 3.0))) (sqrt (* x (* x 3.0))))
5.0ms
(* x (sqrt 3.0))
3.0ms
(sqrt (* x (* x 3.0)))

series17.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* x 3.0))
7.0ms
(* (fabs (* x (sqrt 3.0))) (sqrt (* x (* x 3.0))))
4.0ms
(* x (sqrt 3.0))
3.0ms
(sqrt (* x (* x 3.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05008490

prune128.0ms

Filtered
52 candidates to 83 candidates (-59.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh077
Picked011
Done022
Total831093

Merged error: 0.0b

Counts
93 → 10

localize14.0ms

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)))))
19.4b
(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)))

simplify48.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05035679

prune165.0ms

Filtered
58 candidates to 117 candidates (-101.7%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1170117
Fresh066
Picked011
Done033
Total11710127

Merged error: 0.0b

Counts
127 → 10

regimes114.0ms

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 (0.0ms)

IterNodesCost
065
165

end0.0ms

sample407.0ms

Algorithm
intervals
Results
117.0ms8000×body80valid

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