Details

Time bar (total: 5.0s)

sample12.0ms

Algorithm
intervals
Results
5.0ms287×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
187
2117
3137
done137

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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*
5×distribute-lft1-in count-2 distribute-rgt1-in
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 80
Calls
1 calls:
12.0ms
(/ (+ x y) (+ y y))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (+ x y) (+ y y))

simplify1.7s

Counts
83 → 83
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
01121073
1226974
2551943
31557943
done5000943

prune105.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
8.0ms
(* 1/2 (/ x y))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* 1/2 (/ x y))

simplify2.7s

Counts
35 → 35
Iterations

Useful iterations: 3 (240.0ms)

IterNodesCost
068277
1166250
2427230
31209229
42932229
done5000229

prune62.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample307.0ms

Algorithm
intervals
Results
165.0ms9155×body80valid