Details

Time bar (total: 1.2s)

sample11.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 25.085425%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

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

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite7.0ms

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)

simplify53.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
09472
143357
2229557
3500156

prune25.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New17421
Fresh000
Picked011
Done000
Total17522

Merged error: 0.1b

Counts
22 → 5

localize5.0ms

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)))
19.8b
(sqrt (* (* x 3.0) x))
19.8b
(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))
4.0ms
(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))

simplify41.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0177368
1939307
25001296

prune117.0ms

Filtered
50 candidates to 120 candidates (-140.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1146120
Fresh213
Picked011
Done011
Total1169125

Merged error: 0.0b

Counts
125 → 9

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))))
0.6b
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
19.8b
(sqrt (* (* x 3.0) x))
19.8b
(sqrt (* (* x 3.0) x))

rewrite33.0ms

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:
15.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
7.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

series29.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
15.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

simplify66.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0331932
11646757
25001668

prune194.0ms

Filtered
65 candidates to 127 candidates (-95.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1252127
Fresh066
Picked101
Done022
Total12610136

Merged error: 0.0b

Counts
136 → 10

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* (* x 3.0) x)))
0.2b
(* (* x 3.0) x)
0.6b
(pow (sqrt (sqrt (* (* x 3.0) x))) 4)
19.8b
(sqrt (* (* x 3.0) x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
19×sqrt-pow1
12×pow-prod-down
11×sqrt-prod
10×add-exp-log add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity add-cbrt-cube
7×unpow-prod-down pow-pow
5×pow1/2
4×add-log-exp
3×pow-unpow associate-*r* prod-exp cbrt-unprod
1×pow-to-exp rem-sqrt-square associate-*l* pow-exp *-commutative sqrt-pow2 sqr-pow
Counts
4 → 76
Calls
4 calls:
4.0ms
(sqrt (sqrt (* (* x 3.0) x)))
5.0ms
(* (* x 3.0) x)
6.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 4)
4.0ms
(sqrt (* (* x 3.0) x))

series24.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (sqrt (* (* x 3.0) x)))
3.0ms
(* (* x 3.0) x)
12.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 4)
4.0ms
(sqrt (* (* x 3.0) x))

simplify61.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0365427
11721369
25002358

prune116.0ms

Filtered
53 candidates to 88 candidates (-66.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh077
Picked011
Done022
Total881098

Merged error: 0.0b

Counts
98 → 10

regimes100.0ms

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

sample204.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 25.085425%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
123.0ms8000×body80valid
0.0ms2×body80invalid

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