Details

Time bar (total: 3.1s)

sample296.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.21875%

Results
5.0ms236×body80valid
1.0ms8×body640valid
0.0ms7×body320valid
0.0ms2×body2560valid
0.0ms2×body1280valid
0.0ms1×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1193
2293
3413
4513
5793
61343
71693
81853
92133
102263
112263

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 13
Calls
1 calls:
9.0ms
(+ x (/ (- x y) 2.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ x (/ (- x y) 2.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune32.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New13316
Fresh000
Picked011
Done000
Total13417

Merged error: 0.1b

Counts
17 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
20.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
41.0ms
(cbrt (+ x (/ (- x y) 2.0)))
43.0ms
(cbrt (+ x (/ (- x y) 2.0)))
42.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
02631109
17511044
22594956
35001938

prune219.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1025107
Fresh022
Picked011
Done011
Total1029111

Merged error: 0.0b

Counts
111 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
20×cbrt-prod
14×*-un-lft-identity
9×flip3-+ flip-+
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-out
2×associate-*r/ associate-*l/
Counts
4 → 62
Calls
4 calls:
10.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
19.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

series176.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (+ x (/ (- x y) 2.0)))
41.0ms
(cbrt (+ x (/ (- x y) 2.0)))
43.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
48.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

simplify109.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 4 (100.0ms)

IterNodesCost
0285860
1608810
21436802
34830783
45001782

prune258.0ms

Filtered
63 candidates to 74 candidates (-17.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh156
Picked101
Done022
Total75883

Merged error: 0.0b

Counts
83 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(cbrt (pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 6))
1.3b
(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 6)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
24×*-un-lft-identity
20×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
3×pow-unpow
2×pow-pow flip3-+ flip-+ sqr-pow
1×pow-to-exp pow-exp
Counts
4 → 81
Calls
4 calls:
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
11.0ms
(cbrt (pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 6))
11.0ms
(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 6)

series256.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
43.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
48.0ms
(cbrt (pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 6))
124.0ms
(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 6)

simplify47.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0379980
11113887
25001841

prune239.0ms

Filtered
61 candidates to 93 candidates (-52.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New91293
Fresh055
Picked011
Done022
Total9110101

Merged error: 0.0b

Counts
101 → 10

regimes222.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073
173

end0.0ms

sample702.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.21875%

Results
163.0ms7386×body80valid
22.0ms213×body1280valid
13.0ms180×body640valid
11.0ms103×body2560valid
7.0ms76×body320valid
2.0ms42×body160valid
0.0ms4×body80invalid

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