Details

Time bar (total: 7.8s)

sample2.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.845215%

Guaranteed chance to sample good point: 49.054208%

Results
10.0ms255×body80valid
1.0ms19×body80invalid
0.0ms1×body1280valid

simplify27.0ms

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))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×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:
5.0ms
(- (* (/ 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))

simplify43.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0113124
1385113
21527113
35002113

prune35.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0b

Counts
17 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×associate-*l/
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 97
Calls
4 calls:
15.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
6.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
6.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
6.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
44.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
42.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
45.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify132.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03301647
110671554
248591466
350011466

prune273.0ms

Filtered
82 candidates to 109 candidates (-32.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done011
Total1093112

Merged error: 0b

Counts
112 → 3

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))))

rewrite36.0ms

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
9×frac-times
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×unswap-sqr
3×associate-*r/ pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
5.0ms
(- (* (/ 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)))
16.0ms
(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
20.0ms
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
22.0ms
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
13.0ms
(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify48.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03181298
112831212
250011180

prune166.0ms

Filtered
76 candidates to 121 candidates (-59.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done022
Total1213124

Merged error: 0b

Counts
124 → 3

regimes467.0ms

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

sample3.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.845215%

Guaranteed chance to sample good point: 49.054208%

Results
330.0ms7999×body80valid
34.0ms770×body80invalid
0.0ms1×body1280valid

Profiling

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