Details

Time bar (total: 2.2s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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 (+ x y))

rewrite10.0ms

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 expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
8.0ms
(/ x (+ x y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ x (+ x y))

simplify82.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0121159
1393150
21065150
33830150
45002150

prune51.0ms

Filtered
38 candidates to 27 candidates (71.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh000
Picked011
Done000
Total36339

Merged error: 0b

Counts
39 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod
29×*-un-lft-identity
23×add-sqr-sqrt
15×add-cube-cbrt
12×cbrt-div
11×pow1
9×pow1/3 swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log flip3-+ flip-+ distribute-lft-out
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

series700.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
182.0ms
(cbrt x)
175.0ms
(cbrt x)
162.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify115.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0229551
1790519
23608472
35001468

prune210.0ms

Filtered
106 candidates to 77 candidates (72.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh011
Picked011
Done011
Total1063109

Merged error: 0b

Counts
109 → 3

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
9.5b
(sqrt (/ x (+ x y)))
9.5b
(sqrt (/ x (+ x y)))

rewrite45.0ms

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×expm1-log1p-u rem-sqrt-square associate-/r* log1p-expm1-u 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 → 209
Calls
4 calls:
5.0ms
(/ x (+ x y))
20.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
5.0ms
(sqrt (/ x (+ x y)))
5.0ms
(sqrt (/ x (+ x y)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ x (+ x y))
38.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
57.0ms
(sqrt (/ x (+ x y)))
58.0ms
(sqrt (/ x (+ x y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03031248
114571158
250021139

prune305.0ms

Filtered
221 candidates to 139 candidates (62.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2210221
Fresh000
Picked011
Done022
Total2213224

Merged error: 0b

Counts
224 → 3

regimes39.0ms

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

sample262.0ms

Algorithm
intervals
Results
142.0ms8000×body80valid

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