Details

Time bar (total: 2.5s)

sample375.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.828125%

Results
9.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune3.0ms

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 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
6.2b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
9×add-exp-log add-cbrt-cube
7×associate-/r*
4×distribute-lft-out associate-/l*
3×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/r/ div-inv add-log-exp
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 54
Calls
2 calls:
4.0ms
(/ (* x y) 2.0)
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (* x y) 2.0)
13.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0299361
11304334
25002330

prune80.0ms

Filtered
43 candidates to 60 candidates (-39.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New57360
Fresh000
Picked101
Done000
Total58361

Merged error: 0.0b

Counts
61 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.2b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
95×*-un-lft-identity
63×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
21×add-exp-log
16×distribute-lft-out
15×add-cbrt-cube
10×div-exp
8×associate-/l*
7×div-inv
6×cbrt-undiv
4×pow1
3×frac-2neg clear-num add-log-exp
2×rec-exp 1-exp associate-/l/
1×pow-flip flip3-+ prod-exp associate-/r/ cbrt-unprod flip-+ inv-pow
Counts
3 → 142
Calls
3 calls:
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)

series25.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (* x y) 2.0)
11.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
11.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify68.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05341267
126361136
250021049

prune121.0ms

Filtered
78 candidates to 151 candidates (-93.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1501151
Fresh112
Picked011
Done000
Total1513154

Merged error: 0b

Counts
154 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 0.5 x) (* 1.0 (/ 1 y)))
0.1b
(/ 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))))

series17.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* 0.5 x) (* 1.0 (/ 1 y)))
9.0ms
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

simplify35.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0243414
11034375
25001359

prune54.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh011
Picked011
Done011
Total50353

Merged error: 0b

Counts
53 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b
(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
4.0b
(sqrt (+ 1.0 (/ (* x y) 2.0)))
4.0b
(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
306×*-un-lft-identity
232×sqrt-prod
192×add-sqr-sqrt
190×add-cube-cbrt
58×distribute-lft-out
30×associate-/l*
24×sqrt-div
20×associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-exp-log add-cbrt-cube
10×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 317
Calls
4 calls:
7.0ms
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
19.0ms
(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (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)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
12.0ms
(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
14.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
20.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify111.0ms

Algorithm
egg-herbie
Counts
329 → 329
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
08655555
134624972
250014896

prune397.0ms

Filtered
146 candidates to 329 candidates (-125.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3290329
Fresh000
Picked011
Done022
Total3293332

Merged error: 0b

Counts
332 → 3

regimes71.0ms

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
0166
1166

end0.0ms

sample859.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.828125%

Results
285.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid

Profiling

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