Details

Time bar (total: 2.2s)

sample21.0ms

Algorithm
intervals
Results
6.0ms285×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
187
2117
3137
done137

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ (+ x y) (+ y y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
48×times-frac
39×add-sqr-sqrt add-cube-cbrt
28×distribute-lft-out
15×distribute-rgt-out
12×associate-/r*
distribute-lft1-in count-2 distribute-rgt1-in
associate-/l*
add-exp-log add-cbrt-cube
flip3-+ associate-/r/ flip-+ associate-/l/
pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 80
Calls
1 calls:
9.0ms
(/ (+ x y) (+ y y))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ (+ x y) (+ y y))

simplify555.0ms

Counts
83 → 83
Iterations

Useful iterations: 3 (176.0ms)

IterNodesCost
01131073
1226982
2575945
31738943
done5000943

prune60.0ms

Filtered
47 candidates to 83 candidates (-76.6%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New82183
Fresh000
Picked101
Done000
Total83184

Merged error: 0b

Counts
84 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 1/2 (/ x y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
7.0ms
(* 1/2 (/ x y))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* 1/2 (/ x y))

simplify976.0ms

Counts
35 → 35
Iterations

Useful iterations: 3 (156.0ms)

IterNodesCost
068277
1167256
2459232
31307229
43488229
done5000229

prune40.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New35035
Fresh000
Picked011
Done000
Total35136

Merged error: 0b

Counts
36 → 1

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample476.0ms

Algorithm
intervals
Results
209.0ms9173×body80valid

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