Details

Time bar (total: 1.3s)

analyze3.0ms

Algorithm
search

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2102

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

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)

simplify55.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
09472
143357
2229557
3500156

prune27.0ms

Filtered
10 candidates to 21 candidates (-110.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.1b

Counts
22 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.3b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
18.3b
(sqrt (* (* x 3.0) x))
18.3b
(sqrt (* (* x 3.0) x))

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-*r*
6×sqrt-prod
5×associate-*l*
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 3.0) x)
11.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
3.0ms
(sqrt (* (* x 3.0) x))
3.0ms
(sqrt (* (* x 3.0) x))

series17.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0177386
1991307
25001296

prune108.0ms

Filtered
49 candidates to 120 candidates (-144.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1146120
Fresh314
Picked101
Done011
Total1188126

Merged error: 0.0b

Counts
126 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
18.3b
(sqrt (* (* x 3.0) x))
18.3b
(sqrt (* (* x 3.0) x))
18.3b
(sqrt (* (* x 3.0) x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
157×pow1
149×sqrt-pow1
82×pow-prod-down
29×sqrt-prod
24×add-sqr-sqrt
23×pow1/2
21×pow-prod-up
13×pow-sqr
12×add-cube-cbrt *-un-lft-identity
9×swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
4×add-log-exp unswap-sqr
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 124
Calls
4 calls:
17.0ms
(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
3.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

series14.0ms

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

simplify175.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 3 (166.0ms)

IterNodesCost
0135483
1545444
23369420
35002399

prune154.0ms

Filtered
57 candidates to 136 candidates (-138.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1342136
Fresh246
Picked011
Done011
Total1368144

Merged error: 0.0b

Counts
144 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
0.5b
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
18.3b
(sqrt (* (* x 3.0) x))
18.3b
(sqrt (* (* x 3.0) x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×sqrt-prod
25×pow1
20×associate-*l*
18×unpow-prod-down cube-prod
16×add-cube-cbrt *-un-lft-identity
14×sqrt-pow1
12×unswap-sqr
10×add-exp-log
9×pow-prod-down
7×pow-pow associate-*r* add-cbrt-cube
4×pow1/2 add-log-exp sqr-pow
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 115
Calls
4 calls:
13.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
6.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
3.0ms
(sqrt (* (* x 3.0) x))
3.0ms
(sqrt (* (* x 3.0) x))

series27.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
13.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

simplify63.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0331932
11646757
25001668

prune164.0ms

Filtered
66 candidates to 127 candidates (-92.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1252127
Fresh145
Picked011
Done112
Total1278135

Merged error: 0.0b

Counts
135 → 8

regimes101.0ms

Accuracy

0% (0.1b 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
062
162

end0.0ms

analyze3.0ms

Algorithm
search

sample195.0ms

Algorithm
intervals
Results
120.0ms8000×body80valid

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