Details

Time bar (total: 1.3s)

sample13.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

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 x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
5.0ms
(/ x (+ y x))

series5.0ms

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

simplify78.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0118153
1378144
21017144
33632144
45001144

prune37.0ms

Filtered
25 candidates to 36 candidates (-44.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh000
Picked011
Done000
Total34337

Merged error: 0.0b

Counts
37 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ y x))
0.2b
(* x (/ 1 (+ y x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
5.0ms
(/ 1 (+ y x))
9.0ms
(* x (/ 1 (+ y x)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1 (+ y x))
5.0ms
(* x (/ 1 (+ y x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0226344
1996294
23441256
35001256

prune57.0ms

Filtered
44 candidates to 84 candidates (-90.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh011
Picked011
Done011
Total83487

Merged error: 0.0b

Counts
87 → 4

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ y x))
0.1b
(* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))
8.0b
(sqrt (/ x (+ y x)))
8.0b
(sqrt (/ x (+ y x)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
134×sqrt-prod
131×*-un-lft-identity
104×times-frac
103×add-sqr-sqrt
69×add-cube-cbrt
29×swap-sqr
28×distribute-lft-out
21×pow1 associate-*r* associate-*l*
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ div-inv
6×sqrt-div
5×pow-prod-up
4×rem-sqrt-square associate-/r* add-log-exp
3×pow-prod-down pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 201
Calls
4 calls:
5.0ms
(/ x (+ y x))
19.0ms
(* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))
6.0ms
(sqrt (/ x (+ y x)))
5.0ms
(sqrt (/ x (+ y x)))

series26.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
02941220
114301131
250021112

prune140.0ms

Filtered
131 candidates to 213 candidates (-62.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2121213
Fresh011
Picked101
Done022
Total2134217

Merged error: 0b

Counts
217 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (sqrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))))
8.0b
(sqrt (/ x (+ y x)))
8.0b
(sqrt (/ x (+ y x)))
8.0b
(sqrt (/ x (+ y x)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
286×sqrt-prod
133×add-sqr-sqrt
132×*-un-lft-identity
107×times-frac
72×add-cube-cbrt
36×swap-sqr
35×sqrt-pow1
30×pow1
27×distribute-lft-out
24×associate-*r* associate-*l*
19×pow1/2
16×unswap-sqr
14×associate-/r/
11×sqrt-div
9×pow-prod-up
7×flip3-+ flip-+ div-inv
6×add-exp-log rem-sqrt-square add-cbrt-cube
5×pow-prod-down pow-sqr
4×add-log-exp
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 226
Calls
4 calls:
27.0ms
(* (sqrt (sqrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))))
5.0ms
(sqrt (/ x (+ y x)))
5.0ms
(sqrt (/ x (+ y x)))
5.0ms
(sqrt (/ x (+ y x)))

series32.0ms

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

simplify60.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03121627
112091507
250011467

prune165.0ms

Filtered
140 candidates to 238 candidates (-70.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2380238
Fresh011
Picked011
Done022
Total2384242

Merged error: 0b

Counts
242 → 4

regimes108.0ms

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
052
152

end0.0ms

sample352.0ms

Algorithm
intervals
Results
144.0ms8000×body80valid

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