Details

Time bar (total: 1.7s)

sample48.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (- x y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
7.0ms
(/ (+ x y) (- x y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (+ x y) (- x y))

simplify40.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0169288
1510274
21421270
35001270

prune46.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New44448
Fresh000
Picked011
Done000
Total44549

Merged error: 0.0b

Counts
49 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
0.0b
(/ (+ x y) (- x y))
0.0b
(/ (+ x y) (- x y))
0.0b
(/ (+ x y) (- x y))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
321×*-un-lft-identity
190×times-frac
183×add-sqr-sqrt
160×cbrt-prod
89×add-cube-cbrt
56×distribute-lft-out
51×swap-sqr
47×distribute-lft-out--
35×difference-of-squares
29×associate-*r* associate-*l*
15×associate-/r*
14×associate-/r/
12×add-exp-log associate-/l*
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-- flip-- div-inv
6×pow1/3 associate-/l/
4×cbrt-div add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 274
Calls
4 calls:
29.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
7.0ms
(/ (+ x y) (- x y))
7.0ms
(/ (+ x y) (- x y))
7.0ms
(/ (+ x y) (- x y))

series52.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
8.0ms
(/ (+ x y) (- x y))
8.0ms
(/ (+ x y) (- x y))
8.0ms
(/ (+ x y) (- x y))

simplify62.0ms

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03562754
113122674
250012540

prune222.0ms

Filtered
170 candidates to 286 candidates (-68.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2851286
Fresh033
Picked011
Done011
Total2856291

Merged error: 0b

Counts
291 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 90
Calls
2 calls:
5.0ms
(/ 1 (- x y))
12.0ms
(* (+ x y) (/ 1 (- x y)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1 (- x y))
8.0ms
(* (+ x y) (/ 1 (- x y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0288478
11398416
25001362

prune65.0ms

Filtered
50 candidates to 96 candidates (-92.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New95196
Fresh213
Picked011
Done112
Total984102

Merged error: 0b

Counts
102 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (+ x y) (- x y)))
0.0b
(pow (sqrt (cbrt (/ (+ x y) (- x y)))) 4)
0.0b
(/ (+ x y) (- x y))
0.0b
(/ (+ x y) (- x y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
129×*-un-lft-identity
85×add-sqr-sqrt
80×times-frac
52×cbrt-prod
49×add-cube-cbrt
32×unpow-prod-down
29×sqrt-prod
22×distribute-lft-out
18×distribute-lft-out-- difference-of-squares
10×associate-/r*
9×add-exp-log
8×associate-/r/ add-cbrt-cube associate-/l*
6×pow1
4×flip3-- pow-pow flip-- div-inv associate-/l/ add-log-exp
3×pow-unpow
2×cbrt-undiv frac-2neg sqrt-pow1 flip3-+ pow1/3 div-exp clear-num flip-+
1×pow-to-exp cbrt-div pow1/2 pow-exp sqrt-pow2 sqr-pow
Counts
4 → 175
Calls
4 calls:
6.0ms
(cbrt (/ (+ x y) (- x y)))
11.0ms
(pow (sqrt (cbrt (/ (+ x y) (- x y)))) 4)
7.0ms
(/ (+ x y) (- x y))
9.0ms
(/ (+ x y) (- x y))

series82.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (/ (+ x y) (- x y)))
40.0ms
(pow (sqrt (cbrt (/ (+ x y) (- x y)))) 4)
8.0ms
(/ (+ x y) (- x y))
8.0ms
(/ (+ x y) (- x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04241466
112991368
250011332

prune330.0ms

Filtered
123 candidates to 187 candidates (-52.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1870187
Fresh011
Picked011
Done022
Total1874191

Merged error: 0b

Counts
191 → 4

regimes106.0ms

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
063
163

end0.0ms

sample336.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
180.0ms8000×body80valid

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