Details

Time bar (total: 1.1s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2122
3132
4132

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×sum-log distribute-lft-out
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
5.0ms
(+ (+ x y) x)

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(+ (+ x y) x)

simplify95.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
08265
124160
285458
3453553
4500253

prune19.0ms

Filtered
10 candidates to 18 candidates (-80.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x y) x)
0.0b
(sqrt (+ (+ x y) x))
0.0b
(sqrt (+ (+ x y) x))
0.2b
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
48×sqrt-prod
33×distribute-lft-out
28×add-sqr-sqrt
21×pow1
16×sqrt-div swap-sqr
14×add-cube-cbrt
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ add-log-exp
8×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down sum-log pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 associate-+l+ pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
5.0ms
(+ (+ x y) x)
5.0ms
(sqrt (+ (+ x y) x))
5.0ms
(sqrt (+ (+ x y) x))
15.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series23.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (+ x y) x)
6.0ms
(sqrt (+ (+ x y) x))
6.0ms
(sqrt (+ (+ x y) x))
7.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0253668
11103614
25002600

prune78.0ms

Filtered
64 candidates to 130 candidates (-103.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1291130
Fresh000
Picked101
Done011
Total1302132

Merged error: 0b

Counts
132 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ (+ x y) x)))
0.0b
(sqrt (sqrt (+ (+ x y) x)))
0.2b
(* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x))))
0.2b
(* (sqrt (+ (+ x y) x)) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
141×sqrt-prod
122×sqrt-div
91×sqrt-pow1
81×*-un-lft-identity
69×pow1
60×add-sqr-sqrt
47×pow1/2
39×pow-prod-up
35×flip3-+ flip-+
33×distribute-lft-out
32×frac-times
25×swap-sqr
22×add-cube-cbrt
19×associate-*l*
16×associate-*r/
12×associate-*r* pow-prod-down
11×add-exp-log pow-sqr add-cbrt-cube unswap-sqr
10×associate-*l/
4×rem-sqrt-square prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 215
Calls
4 calls:
6.0ms
(sqrt (sqrt (+ (+ x y) x)))
6.0ms
(sqrt (sqrt (+ (+ x y) x)))
20.0ms
(* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x))))
29.0ms
(* (sqrt (+ (+ x y) x)) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))))

series58.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(sqrt (sqrt (+ (+ x y) x)))
20.0ms
(sqrt (sqrt (+ (+ x y) x)))
7.0ms
(* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x))))
7.0ms
(* (sqrt (+ (+ x y) x)) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))))

simplify85.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06051876
124561626
250011604

prune135.0ms

Filtered
103 candidates to 227 candidates (-120.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2270227
Fresh000
Picked011
Done011
Total2272229

Merged error: 0b

Counts
229 → 2

regimes98.0ms

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
062
162

end0.0ms

sample318.0ms

Algorithm
intervals
Results
124.0ms8004×body80valid

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