Details

Time bar (total: 1.3s)

analyze119.0ms

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
25%74.9%0.1%5
25%74.9%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
76.5%23.4%0.1%9
76.5%23.4%0.1%10
87.8%12.1%0.1%11
87.8%12.1%0.1%12
93.8%6.1%0.1%13
93.8%6.1%0.1%14

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
048789
148789

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 17.7b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

17.0b
(/ (- x y) (* (* x 2.0) y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/l*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 flip3-- frac-2neg div-sub clear-num associate-/r* flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
8.0ms
(/ (- x y) (* (* x 2.0) y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (- x y) (* (* x 2.0) y))

simplify31.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
06066350

prune46.0ms

Filtered
22 candidates to 33 candidates (-50.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New29433
Fresh000
Picked101
Done000
Total30434

Merged error: 0b

Counts
34 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (* (/ x (/ (- x y) 2.0)) y))
0.0b
(/ x (/ (- x y) 2.0))
6.3b
(* (/ x (/ (- x y) 2.0)) y)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
160×add-sqr-sqrt
151×*-un-lft-identity
109×add-cube-cbrt
62×associate-*l*
51×add-exp-log
31×add-cbrt-cube
23×div-exp
21×distribute-lft-out-- difference-of-squares
20×associate-/r*
13×cbrt-undiv
12×prod-exp
10×div-inv
8×pow1
6×cbrt-unprod associate-/l*
4×rec-exp 1-exp
3×associate-*r* associate-/r/ add-log-exp unswap-sqr
2×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num
1×*-commutative inv-pow
Counts
3 → 215
Calls
3 calls:
14.0ms
(/ 1 (* (/ x (/ (- x y) 2.0)) y))
8.0ms
(/ x (/ (- x y) 2.0))
16.0ms
(* (/ x (/ (- x y) 2.0)) y)

series22.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ 1 (* (/ x (/ (- x y) 2.0)) y))
6.0ms
(/ x (/ (- x y) 2.0))
8.0ms
(* (/ x (/ (- x y) 2.0)) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
058512619

prune226.0ms

Filtered
161 candidates to 224 candidates (-39.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2231224
Fresh213
Picked011
Done000
Total2253228

Merged error: 0b

Counts
228 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

6.8b
(* (/ 1 (* x 2.0)) (+ (/ x y) -1))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
10×prod-exp add-cbrt-cube
9×add-sqr-sqrt
7×associate-*l*
6×*-un-lft-identity associate-*r*
4×add-cube-cbrt times-frac div-exp cbrt-unprod
3×pow1
2×cbrt-undiv difference-of-sqr--1 frac-times rec-exp flip3-+ 1-exp associate-*r/ flip-+
1×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
13.0ms
(* (/ 1 (* x 2.0)) (+ (/ x y) -1))

series6.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* (/ 1 (* x 2.0)) (+ (/ x y) -1))

simplify46.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04983454
14983454

prune41.0ms

Filtered
27 candidates to 43 candidates (-59.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh101
Picked101
Done011
Total44246

Merged error: 0b

Counts
46 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

6.7b
(/ (+ (/ x y) -1) (* x 2.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×times-frac
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube associate-/l*
4×difference-of-sqr--1
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out
1×pow1 frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
12.0ms
(/ (+ (/ x y) -1) (* x 2.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ (+ (/ x y) -1) (* x 2.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05170351

prune30.0ms

Filtered
23 candidates to 32 candidates (-39.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh000
Picked011
Done011
Total32234

Merged error: 0b

Counts
34 → 2

regimes77.0ms

Accuracy

97.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.5b

bsearch23.0ms

Steps
ItersRangePoint
10
2.608798520968662e-28
1.747342636616194e-16
2.434587238763775e-17
7
-1.8981905061580417e+69
-4.293021207435928e+67
-4.3510246037590785e+67

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03529
13529

end0.0ms

sample353.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid
0.0ms1×body80invalid

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