Details

Time bar (total: 1.2s)

analyze94.0ms

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

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0369
1369

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: 15.8b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

15.2b
(/ (+ x y) (* (* x 2.0) y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×times-frac associate-/l*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out
1×pow1 frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv add-log-exp
Counts
1 → 27
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))

simplify36.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05482314

prune38.0ms

Filtered
19 candidates to 30 candidates (-57.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New28230
Fresh000
Picked101
Done000
Total29231

Merged error: 0b

Counts
31 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) y)
5.4b
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
35×*-un-lft-identity
28×times-frac
26×add-sqr-sqrt
25×add-cbrt-cube
21×add-cube-cbrt
20×prod-exp
16×div-exp associate-*r*
8×cbrt-undiv cbrt-unprod
7×associate-*l* distribute-lft-out
4×pow1 rec-exp 1-exp associate-/l*
3×associate-/r* div-inv
2×associate-/l/ add-log-exp unswap-sqr
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
2 → 90
Calls
2 calls:
5.0ms
(/ (+ x y) y)
13.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ x y) y)
7.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify33.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05149929

prune69.0ms

Filtered
57 candidates to 96 candidates (-68.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New96096
Fresh011
Picked011
Done000
Total96298

Merged error: 0b

Counts
98 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (* y (/ x (/ (+ x y) 2.0))))
0.0b
(/ x (/ (+ x y) 2.0))
7.6b
(* y (/ x (/ (+ x y) 2.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
186×times-frac
138×*-un-lft-identity
105×add-sqr-sqrt
96×add-cube-cbrt
53×associate-*r*
51×add-exp-log
31×add-cbrt-cube
23×div-exp
21×distribute-lft-out
17×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-*l* associate-/r/ add-log-exp unswap-sqr
2×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num
1×*-commutative inv-pow
Counts
3 → 194
Calls
3 calls:
13.0ms
(/ 1 (* y (/ x (/ (+ x y) 2.0))))
7.0ms
(/ x (/ (+ x y) 2.0))
16.0ms
(* y (/ x (/ (+ x y) 2.0)))

series20.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049742291
149742291

prune173.0ms

Filtered
135 candidates to 203 candidates (-50.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2030203
Fresh000
Picked011
Done011
Total2032205

Merged error: 0b

Counts
205 → 2

regimes89.0ms

Accuracy

97.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 8.3b

bsearch66.0ms

Steps
ItersRangePoint
9
2.586218062705381e+47
2.946415458201647e+52
3.0961952908224774e+47
5
-4.147802845398327e+47
-1.781923438042767e+47
-1.7988281930423053e+47

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02731
12731

end0.0ms

analyze92.0ms

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

sample325.0ms

Algorithm
intervals
Results
211.0ms8000×body80valid

Profiling

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