Details

Time bar (total: 3.7s)

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 4.873521%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
10.0ms256×body80valid
1.0ms24×body80invalid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0246
1466
2736
3996
41196
51456
61786
72536
83336
94676
104676

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log associate-*l/ frac-sub add-cbrt-cube flip--
Counts
1 → 13
Calls
1 calls:
9.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0113124
1385113
21527113
35002113

prune27.0ms

Filtered
13 candidates to 16 candidates (-23.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New15116
Fresh000
Picked011
Done000
Total15217

Merged error: 0b

Counts
17 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.0b
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.2b
(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-div
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity associate-*l/
11×flip3-- frac-sub flip--
10×sqrt-pow1 pow1/2
frac-times
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-up
unswap-sqr
associate-*r/ pow-prod-down pow-sqr
rem-sqrt-square
pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
6.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
6.0ms
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
6.0ms
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
19.0ms
(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series70.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
22.0ms
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
22.0ms
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
14.0ms
(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03181298
112831212
250011180

prune177.0ms

Filtered
77 candidates to 121 candidates (-57.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done011
Total1212123

Merged error: 0b

Counts
123 → 2

regimes456.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample1.6s

Algorithm
intervals
sampling

Space saved by range analysis: 4.873521%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
322.0ms8000×body80valid
30.0ms684×body80invalid

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