Details

Time bar (total: 1.4s)

analyze47.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
37.5%62.4%0.1%5
56.2%43.7%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
74.9%15.6%9.5%9
79.6%10.9%9.5%10
81.2%7.8%11%11
83.5%5.5%11%12
84.3%3.9%11.8%13
85.5%2.7%11.8%14

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
0.0ms1×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0135
1135

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 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
5.0ms
(* x (+ y 1.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* x (+ y 1.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05259163

prune30.0ms

Filtered
16 candidates to 26 candidates (-62.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New24226
Fresh000
Picked011
Done000
Total24327

Merged error: 0.0b

Counts
27 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) (* x 1.0))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
3.0ms
(+ (* x y) (* x 1.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ (* x y) (* x 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04953114
14953114

prune17.0ms

Filtered
10 candidates to 15 candidates (-50.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New15015
Fresh011
Picked011
Done011
Total15318

Merged error: 0.0b

Counts
18 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ y 1.0))
0.0b
(sqrt (+ y 1.0))
0.1b
(* x (sqrt (+ y 1.0)))
0.1b
(* (* x (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×sqrt-div
17×add-sqr-sqrt sqrt-prod
14×associate-*r*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
3.0ms
(sqrt (+ y 1.0))
3.0ms
(sqrt (+ y 1.0))
8.0ms
(* x (sqrt (+ y 1.0)))
11.0ms
(* (* x (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ y 1.0))
3.0ms
(sqrt (+ y 1.0))
8.0ms
(* x (sqrt (+ y 1.0)))
5.0ms
(* (* x (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05139967

prune128.0ms

Filtered
66 candidates to 99 candidates (-50.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh000
Picked101
Done022
Total993102

Merged error: 0b

Counts
102 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ y 1.0)))
0.1b
(* x (* (sqrt (+ y 1.0)) (sqrt (sqrt (+ y 1.0)))))
0.1b
(* (* x (* (sqrt (+ y 1.0)) (sqrt (sqrt (+ y 1.0))))) (sqrt (sqrt (+ y 1.0))))
0.1b
(* (sqrt (+ y 1.0)) (sqrt (sqrt (+ y 1.0))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
130×sqrt-div
48×sqrt-prod
44×associate-*r/
40×flip3-+ flip-+
36×frac-times
31×pow1 add-sqr-sqrt
23×*-un-lft-identity
21×associate-*r*
20×add-exp-log add-cbrt-cube
18×associate-*l/
15×add-cube-cbrt sqrt-pow1
12×pow-prod-down
11×associate-*l*
10×prod-exp cbrt-unprod
9×pow1/2
6×pow-prod-up unswap-sqr
4×distribute-lft-out add-log-exp
3×*-commutative
2×rem-sqrt-square pow3
1×sqrt-unprod
Counts
4 → 155
Calls
4 calls:
4.0ms
(sqrt (sqrt (+ y 1.0)))
14.0ms
(* x (* (sqrt (+ y 1.0)) (sqrt (sqrt (+ y 1.0)))))
22.0ms
(* (* x (* (sqrt (+ y 1.0)) (sqrt (sqrt (+ y 1.0))))) (sqrt (sqrt (+ y 1.0))))
15.0ms
(* (sqrt (+ y 1.0)) (sqrt (sqrt (+ y 1.0))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (sqrt (+ y 1.0)))
21.0ms
(* x (* (sqrt (+ y 1.0)) (sqrt (sqrt (+ y 1.0)))))
5.0ms
(* (* x (* (sqrt (+ y 1.0)) (sqrt (sqrt (+ y 1.0))))) (sqrt (sqrt (+ y 1.0))))
7.0ms
(* (sqrt (+ y 1.0)) (sqrt (sqrt (+ y 1.0))))

simplify70.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
054152196

prune292.0ms

Filtered
107 candidates to 167 candidates (-56.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1670167
Fresh000
Picked011
Done022
Total1673170

Merged error: 0b

Counts
170 → 3

regimes143.0ms

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
075
175

end0.0ms

analyze46.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
37.5%62.4%0.1%5
56.2%43.7%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
74.9%15.6%9.5%9
79.6%10.9%9.5%10
81.2%7.8%11%11
83.5%5.5%11%12
84.3%3.9%11.8%13
85.5%2.7%11.8%14

sample265.0ms

Algorithm
intervals
Results
145.0ms8000×body80valid
1.0ms80×body80invalid

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