Details

Time bar (total: 2.3s)

sample299.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 96.520996%

Results
8.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.8b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify141.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209283
1791264
24162259
35001259

prune56.0ms

Filtered
26 candidates to 36 candidates (-38.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0b

Counts
37 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
7.8b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
6.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
10.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series20.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
11.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify45.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0355606
11664532
25001486

prune79.0ms

Filtered
46 candidates to 84 candidates (-82.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done011
Total84488

Merged error: 0b

Counts
88 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.8b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 121
Calls
2 calls:
8.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series17.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify55.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04431184
120811066
25002973

prune93.0ms

Filtered
60 candidates to 127 candidates (-111.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done022
Total1274131

Merged error: 0b

Counts
131 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b
(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
3.3b
(sqrt (+ 1.0 (/ (* x y) 2.0)))
3.3b
(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
85×times-frac
80×*-un-lft-identity
59×sqrt-prod
50×add-cube-cbrt
28×add-exp-log
27×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
12×distribute-lft-out
10×sqrt-div
9×div-exp
8×pow1 prod-exp
7×associate-/r*
6×associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 170
Calls
4 calls:
7.0ms
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
28.0ms
(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
4.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
13.0ms
(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
13.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
13.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify86.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07062241
134341989
250011856

prune267.0ms

Filtered
111 candidates to 182 candidates (-64.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1820182
Fresh000
Picked011
Done033
Total1824186

Merged error: 0b

Counts
186 → 4

regimes121.0ms

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
0115
1115

end0.0ms

sample744.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 96.520996%

Results
268.0ms7998×body80valid
1.0ms2×body2560valid

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