Details

Time bar (total: 1.5s)

analyze83.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 98.828125%

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (/ (* x y) 2.0))
0.0b
(/ (* x y) 2.0)
11.3b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
15×times-frac
14×add-sqr-sqrt add-cube-cbrt
10×add-exp-log add-cbrt-cube
7×associate-/r*
5×distribute-lft-out add-log-exp
4×associate-/l*
3×pow1 cbrt-undiv div-exp
2×frac-2neg flip3-+ clear-num associate-/r/ flip-+ div-inv
1×+-commutative prod-exp sum-log cbrt-unprod
Counts
3 → 66
Calls
3 calls:
4.0ms
(+ 1.0 (/ (* x y) 2.0))
4.0ms
(/ (* x y) 2.0)
7.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series20.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ 1.0 (/ (* x y) 2.0))
3.0ms
(/ (* x y) 2.0)
12.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify37.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0319440
11354406
25001402

prune95.0ms

Filtered
54 candidates to 75 candidates (-38.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New71475
Fresh000
Picked101
Done000
Total72476

Merged error: 0b

Counts
76 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ (* x y) 2.0))
0.0b
(/ (* x y) 2.0)
1.1b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
9.9b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
31×add-sqr-sqrt
29×times-frac
24×add-cube-cbrt
22×add-exp-log
18×associate-*r*
16×add-cbrt-cube
8×distribute-lft-out
7×pow1 associate-/r*
6×div-exp add-log-exp
5×prod-exp
4×cbrt-undiv associate-/r/ associate-/l*
3×flip3-+ associate-*l* cbrt-unprod flip-+ div-inv unswap-sqr
2×rec-exp frac-2neg 1-exp clear-num
1×+-commutative pow-flip associate-*r/ pow-prod-down sum-log un-div-inv *-commutative inv-pow
Counts
4 → 111
Calls
4 calls:
4.0ms
(+ 1.0 (/ (* x y) 2.0))
4.0ms
(/ (* x y) 2.0)
6.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
11.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ 1.0 (/ (* x y) 2.0))
3.0ms
(/ (* x y) 2.0)
10.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
14.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0462763
12277672
25001634

prune120.0ms

Filtered
74 candidates to 123 candidates (-66.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1230123
Fresh033
Picked011
Done000
Total1234127

Merged error: 0b

Counts
127 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ (* x y) 2.0))
0.0b
(/ (* x y) 2.0)
0.3b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
11.3b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
98×*-un-lft-identity
64×add-sqr-sqrt add-cube-cbrt
22×add-exp-log associate-/r*
17×distribute-lft-out
16×add-cbrt-cube
10×div-exp
8×associate-/l*
7×div-inv
6×cbrt-undiv add-log-exp
5×pow1
3×frac-2neg clear-num
2×rec-exp flip3-+ 1-exp flip-+ associate-/l/
1×+-commutative pow-flip prod-exp sum-log associate-/r/ cbrt-unprod inv-pow
Counts
4 → 154
Calls
4 calls:
4.0ms
(+ 1.0 (/ (* x y) 2.0))
5.0ms
(/ (* x y) 2.0)
9.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series26.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ 1.0 (/ (* x y) 2.0))
3.0ms
(/ (* x y) 2.0)
10.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify86.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05571341
126851208
250011121

prune135.0ms

Filtered
88 candidates to 166 candidates (-88.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1651166
Fresh202
Picked101
Done011
Total1682170

Merged error: 0b

Counts
170 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 0.5 x) (* 1.0 (/ 1 y)))
0.3b
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow1 associate-/r* associate-/l*
2×flip3-+ div-exp associate-/r/ flip-+
1×cbrt-undiv +-commutative rec-exp pow-flip frac-2neg 1-exp clear-num sum-log div-inv inv-pow
Counts
2 → 44
Calls
2 calls:
3.0ms
(+ (* 0.5 x) (* 1.0 (/ 1 y)))
5.0ms
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* 0.5 x) (* 1.0 (/ 1 y)))
10.0ms
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

simplify34.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0243414
11034375
25001359

prune50.0ms

Filtered
29 candidates to 50 candidates (-72.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh000
Picked011
Done011
Total50252

Merged error: 0b

Counts
52 → 2

regimes64.0ms

Accuracy

0% (0.0b 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
0166
1166

end0.0ms

analyze79.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 98.828125%

sample402.0ms

Algorithm
intervals
Results
270.0ms7998×body80valid
0.0ms2×body640valid

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