Details

Time bar (total: 1.8s)

sample21.0ms

Algorithm
intervals
Results
8.0ms292×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2224
3224

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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 2.0) (* y x))
0.0b
(+ (+ (/ x 2.0) (* y x)) z)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
*-un-lft-identity sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
6.0ms
(+ (/ x 2.0) (* y x))
8.0ms
(+ (+ (/ x 2.0) (* y x)) z)

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (/ x 2.0) (* y x))
6.0ms
(+ (+ (/ x 2.0) (* y x)) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0163180
1542168
21917162
35001160

prune39.0ms

Filtered
31 candidates to 22 candidates (29.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh000
Picked011
Done000
Total30232

Merged error: 0.0b

Counts
32 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) z)
0.0b
(sqrt (+ (/ x 2.0) (* y x)))
0.0b
(sqrt (+ (/ x 2.0) (* y x)))
0.3b
(* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
flip3-+ flip-+
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
16.0ms
(+ (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) z)
6.0ms
(sqrt (+ (/ x 2.0) (* y x)))
8.0ms
(sqrt (+ (/ x 2.0) (* y x)))
17.0ms
(* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))))

series29.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) z)
8.0ms
(sqrt (+ (/ x 2.0) (* y x)))
9.0ms
(sqrt (+ (/ x 2.0) (* y x)))
6.0ms
(* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))))

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0292883
11089784
25002749

prune136.0ms

Filtered
110 candidates to 66 candidates (40.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done011
Total1093112

Merged error: 0.0b

Counts
112 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ (/ x 2.0) (* y x))))
0.0b
(sqrt (sqrt (+ (/ x 2.0) (* y x))))
0.2b
(* (pow (sqrt (sqrt (+ (/ x 2.0) (* y x)))) 3) (sqrt (sqrt (+ (/ x 2.0) (* y x)))))
0.3b
(pow (sqrt (sqrt (+ (/ x 2.0) (* y x)))) 3)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
107×sqrt-prod
74×add-sqr-sqrt
36×sqrt-div
27×unpow-prod-down cube-prod
25×add-cube-cbrt *-un-lft-identity
24×associate-*l* unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log
flip3-+ associate-*r* flip-+
cube-div
add-cbrt-cube
pow1/2
pow-pow sqr-pow
frac-times rem-sqrt-square add-log-exp
pow-unpow prod-exp
cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp
pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 163
Calls
4 calls:
7.0ms
(sqrt (sqrt (+ (/ x 2.0) (* y x))))
7.0ms
(sqrt (sqrt (+ (/ x 2.0) (* y x))))
25.0ms
(* (pow (sqrt (sqrt (+ (/ x 2.0) (* y x)))) 3) (sqrt (sqrt (+ (/ x 2.0) (* y x)))))
10.0ms
(pow (sqrt (sqrt (+ (/ x 2.0) (* y x)))) 3)

series70.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt (+ (/ x 2.0) (* y x))))
16.0ms
(sqrt (sqrt (+ (/ x 2.0) (* y x))))
6.0ms
(* (pow (sqrt (sqrt (+ (/ x 2.0) (* y x)))) 3) (sqrt (sqrt (+ (/ x 2.0) (* y x)))))
31.0ms
(pow (sqrt (sqrt (+ (/ x 2.0) (* y x)))) 3)

simplify96.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
05522079
123871833
250011648

prune309.0ms

Filtered
175 candidates to 89 candidates (49.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1750175
Fresh000
Picked011
Done022
Total1753178

Merged error: 0.0b

Counts
178 → 3

regimes232.0ms

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
0114
1114

end0.0ms

sample569.0ms

Algorithm
intervals
Results
264.0ms9145×body80valid
0.0msbody1280valid
0.0msbody640valid
0.0msbody160valid

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