Details

Time bar (total: 1.4s)

sample13.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.524414%

Guaranteed chance to sample good point: 99.996511%

Results
4.0ms256×body80valid
1.0ms31×body80invalid

simplify4.0ms

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

localize7.0ms

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)

simplify52.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (50.0ms)

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

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.4b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
16.3b
(sqrt (* (* x 3.0) x))
16.3b
(sqrt (* (* x 3.0) x))

rewrite30.0ms

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:
5.0ms
(* (* 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)))
4.0ms
(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

prune113.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1155120
Fresh134
Picked101
Done011
Total1179126

Merged error: 0.0b

Counts
126 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
16.3b
(sqrt (* (* x 3.0) x))
16.3b
(sqrt (* (* x 3.0) x))
16.3b
(sqrt (* (* x 3.0) x))

rewrite32.0ms

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:
15.0ms
(* (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))

series18.0ms

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))
4.0ms
(sqrt (* (* x 3.0) x))
6.0ms
(sqrt (* (* x 3.0) x))

simplify166.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 3 (157.0ms)

IterNodesCost
0135483
1545444
23369420
35002399

prune153.0ms

Filtered
59 candidates to 136 candidates (-130.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh077
Picked011
Done011
Total1369145

Merged error: 0.0b

Counts
145 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
16.3b
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
16.3b
(sqrt (* (* x 3.0) x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1
16×pow-prod-down
9×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 → 49
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms
(sqrt (* (* x 3.0) x))

series57.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
22.0ms
(cbrt x)
8.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms
(sqrt (* (* x 3.0) x))

simplify43.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 4 (39.0ms)

IterNodesCost
0104242
1211225
2473165
31430163
45002157

prune94.0ms

Filtered
42 candidates to 61 candidates (-45.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh066
Picked011
Done022
Total61970

Merged error: 0.0b

Counts
70 → 9

regimes135.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample315.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.524414%

Guaranteed chance to sample good point: 99.996511%

Results
130.0ms8000×body80valid
25.0ms1333×body80invalid

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