Details

Time bar (total: 1.5s)

analyze70.0ms

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
37.5%62.4%0.1%6
67.1%32.8%0.1%7
71%28.9%0.1%8
82.3%17.6%0.1%9
84.9%15%0.1%10
90.8%9.1%0.1%11
92.2%7.7%0.1%12
95.3%4.6%0.1%13
96%3.9%0.1%14

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1187

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/r* associate-/r/
associate-*l* associate-/l*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
9.0ms
(/ y (+ y 1.0))
9.0ms
(* x (/ y (+ y 1.0)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ y (+ y 1.0))
7.0ms
(* x (/ y (+ y 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05485665

prune105.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New74276
Fresh011
Picked011
Done000
Total74478

Merged error: 0b

Counts
78 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b
(/ (* x y) (+ y 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log add-cbrt-cube
times-frac associate-/r*
add-sqr-sqrt add-cube-cbrt
cbrt-undiv div-exp associate-/r/ distribute-lft-out
pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
6.0ms
(/ (* x y) (+ y 1.0))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (* x y) (+ y 1.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05421248

prune42.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New28028
Fresh022
Picked011
Done011
Total28432

Merged error: 0b

Counts
32 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
74×sqrt-prod
63×*-un-lft-identity
52×add-sqr-sqrt
51×times-frac
42×associate-*r*
39×add-cube-cbrt
13×pow1
12×distribute-lft-out
11×add-exp-log add-cbrt-cube
associate-/r/
sqrt-div
rem-sqrt-square flip3-+ associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+ div-inv add-log-exp
unswap-sqr
sqrt-pow1 pow1/2 *-commutative
frac-times associate-*l/
Counts
4 → 138
Calls
4 calls:
5.0ms
(sqrt (/ y (+ y 1.0)))
5.0ms
(sqrt (/ y (+ y 1.0)))
11.0ms
(* x (sqrt (/ y (+ y 1.0))))
18.0ms
(* (* x (sqrt (/ y (+ y 1.0)))) (sqrt (/ y (+ y 1.0))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (/ y (+ y 1.0)))
7.0ms
(sqrt (/ y (+ y 1.0)))
12.0ms
(* x (sqrt (/ y (+ y 1.0))))
9.0ms
(* (* x (sqrt (/ y (+ y 1.0)))) (sqrt (/ y (+ y 1.0))))

simplify40.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050191641

prune278.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1500150
Fresh011
Picked011
Done022
Total1504154

Merged error: 0b

Counts
154 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.1b
(* (/ y (+ y 1.0)) (sqrt x))
0.2b
(* (sqrt x) (* (/ y (+ y 1.0)) (sqrt x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt
26×times-frac
24×add-cube-cbrt associate-*l*
19×add-exp-log add-cbrt-cube
10×pow1
sqrt-prod
associate-*r* prod-exp cbrt-unprod distribute-lft-out
pow-prod-down associate-/r* associate-/r/ unswap-sqr
cbrt-undiv div-exp associate-/l* add-log-exp
flip3-+ associate-*l/ *-commutative flip-+ div-inv
frac-2neg associate-*r/ clear-num
Counts
3 → 99
Calls
3 calls:
5.0ms
(/ y (+ y 1.0))
10.0ms
(* (/ y (+ y 1.0)) (sqrt x))
11.0ms
(* (sqrt x) (* (/ y (+ y 1.0)) (sqrt x)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ y (+ y 1.0))
7.0ms
(* (/ y (+ y 1.0)) (sqrt x))
9.0ms
(* (sqrt x) (* (/ y (+ y 1.0)) (sqrt x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051721029

prune135.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1080108
Fresh000
Picked011
Done033
Total1084112

Merged error: 0b

Counts
112 → 4

regimes116.0ms

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
087
187

end0.0ms

sample310.0ms

Algorithm
intervals
Results
186.0ms8000×body80valid

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