Details

Time bar (total: 2.2s)

analyze20.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14

sample15.0ms

Algorithm
intervals
Results
6.0ms246×body80valid
0.0ms3×body1280valid
0.0ms3×body640valid
0.0ms1×body2560valid
0.0ms2×body160valid
0.0ms1×body320valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
088
188

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
5.0ms
(+ x (/ (fabs (- y x)) 2.0))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05064171

prune26.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))
0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))
5.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series40.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ x (/ (fabs (- y x)) 2.0))
14.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049721627
149721627

prune134.0ms

Filtered
67 candidates to 118 candidates (-76.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1171118
Fresh011
Picked011
Done011
Total1174121

Merged error: 0.0b

Counts
121 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.1b
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
0.4b
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
112×sqrt-prod
91×sqrt-pow1
69×pow1
60×add-sqr-sqrt
47×pow1/2
42×*-un-lft-identity
39×pow-prod-up
35×flip3-+ flip-+
32×frac-times
22×add-cube-cbrt
20×swap-sqr
17×associate-*l*
16×associate-*r/
12×pow-prod-down
11×add-exp-log associate-*r* pow-sqr add-cbrt-cube unswap-sqr
10×associate-*l/
9×distribute-lft-out
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 → 205
Calls
4 calls:
6.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
29.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
20.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
14.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050093685

prune295.0ms

Filtered
101 candidates to 217 candidates (-114.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2143217
Fresh101
Picked101
Done022
Total2165221

Merged error: 0b

Counts
221 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.3b
(* (pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3) (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3) (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))))
0.5b
(pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
229×sqrt-prod
172×sqrt-div
108×add-sqr-sqrt
44×*-un-lft-identity
42×unpow-prod-down cube-prod
40×unswap-sqr
39×associate-*l*
35×flip3-+ flip-+
32×frac-times
30×add-cube-cbrt
26×cube-div
20×add-exp-log
16×associate-*r/
14×associate-*r*
13×pow1 sqrt-pow1
12×add-cbrt-cube
10×associate-*l/ prod-exp
7×pow-pow distribute-lft-out
6×sqr-pow
5×pow1/2
4×cbrt-unprod add-log-exp
3×pow-to-exp pow-unpow pow-exp
2×cube-mult rem-sqrt-square unpow3 *-commutative
1×pow-plus pow-prod-down pow-prod-up sqrt-pow2 rem-cube-cbrt
Counts
4 → 230
Calls
4 calls:
6.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
29.0ms
(* (pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3) (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
28.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3) (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))))
10.0ms
(pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3)

series79.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
14.0ms
(* (pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3) (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
10.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3) (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))))
34.0ms
(pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3)

simplify108.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
048725312
148725312

prune464.0ms

Filtered
117 candidates to 242 candidates (-106.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2420242
Fresh022
Picked011
Done022
Total2425247

Merged error: 0b

Counts
247 → 5

regimes152.0ms

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
088
188

end0.0ms

analyze20.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14

sample355.0ms

Algorithm
intervals
Results
191.0ms7701×body80valid
12.0ms111×body1280valid
6.0ms71×body640valid
6.0ms40×body2560valid
4.0ms53×body320valid
1.0ms24×body160valid
0.0ms1×body80invalid

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