Details

Time bar (total: 3.3s)

analyze123.0ms

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
12.5%87.4%0.1%5
31.2%68.7%0.1%6
46.8%53.1%0.1%7
60.9%39%0.1%8
67.9%31.2%0.9%9
74.5%22.2%3.2%10
77.9%17.2%5%11
81.1%11.8%7.1%12
82.7%9%8.3%13
84.3%6.1%9.7%14

sample23.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
0.0ms6×body80invalid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1275
2405
3475
4635
5755
61065
71125
81185
91225
101305
114025
1226055
1350015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
9.2b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
12.0ms
(* x (+ (/ x y) 1.0))
15.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* x (+ (/ x y) 1.0))
8.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0296332
11504285
25001283

prune101.0ms

Filtered
38 candidates to 56 candidates (-47.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New50656
Fresh000
Picked101
Done000
Total51657

Merged error: 0.0b

Counts
57 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 146
Calls
2 calls:
16.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
12.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series22.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify88.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
04941442
123441386
250011384

prune215.0ms

Filtered
95 candidates to 152 candidates (-60.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1475152
Fresh325
Picked011
Done000
Total1508158

Merged error: 0b

Counts
158 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
812×times-frac
619×*-un-lft-identity
343×add-sqr-sqrt add-cube-cbrt
138×distribute-lft-out
77×associate-/r*
35×associate-/r/
31×add-exp-log
29×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 454
Calls
3 calls:
17.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
12.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
32.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series37.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
9.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
16.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify98.0ms

Algorithm
egg-herbie
Counts
463 → 463
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
012865753
150015220

prune562.0ms

Filtered
239 candidates to 463 candidates (-93.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New4621463
Fresh156
Picked011
Done011
Total4638471

Merged error: 0b

Counts
471 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.3b
(/ (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ 1 x))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
733×times-frac
543×*-un-lft-identity
299×add-sqr-sqrt add-cube-cbrt
122×distribute-lft-out
39×div-inv
31×associate-/r/
26×add-exp-log associate-/l*
17×div-exp associate-/r*
16×flip3-+ add-cbrt-cube flip-+
9×cbrt-undiv
3×associate-/l/
2×pow1 rec-exp frac-2neg 1-exp clear-num add-log-exp
Counts
2 → 385
Calls
2 calls:
11.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
21.0ms
(/ (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ 1 x))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms
(/ (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ 1 x))

simplify112.0ms

Algorithm
egg-herbie
Counts
391 → 391
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015315333
150014839

prune449.0ms

Filtered
176 candidates to 391 candidates (-122.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3910391
Fresh055
Picked011
Done022
Total3918399

Merged error: 0b

Counts
399 → 8

regimes104.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

analyze135.0ms

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
12.5%87.4%0.1%5
31.2%68.7%0.1%6
46.8%53.1%0.1%7
60.9%39%0.1%8
67.9%31.2%0.9%9
74.5%22.2%3.2%10
77.9%17.2%5%11
81.1%11.8%7.1%12
82.7%9%8.3%13
84.3%6.1%9.7%14

sample659.0ms

Algorithm
intervals
Results
502.0ms8000×body80valid
10.0ms286×body80invalid

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