Details

Time bar (total: 6.8s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
155
done55

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite7.0ms

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 (+ x y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ x (+ x y))

simplify2.8s

Counts
36 → 36
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
059324
1119305
2246287
3510287
41175287
54394287
done5000287

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
7.1b
(sqrt (/ x (+ x y)))
7.1b
(sqrt (/ x (+ x y)))

rewrite72.0ms

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 (+ x y))
39.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
6.0ms
(sqrt (/ x (+ x y)))
7.0ms
(sqrt (/ x (+ x y)))

series208.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ x (+ x y))
41.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
63.0ms
(sqrt (/ x (+ x y)))
59.0ms
(sqrt (/ x (+ x y)))

simplify1.8s

Counts
213 → 213
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01773139
12922203
28622081
327812042
done50002042

prune403.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(pow (/ x (+ x y)) 3)
15.4b
(cbrt (pow (/ x (+ x y)) 3))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
60×times-frac
46×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv
4×pow1 associate-/r*
3×pow-unpow associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 141
Calls
3 calls:
5.0ms
(/ x (+ x y))
8.0ms
(pow (/ x (+ x y)) 3)
11.0ms
(cbrt (pow (/ x (+ x y)) 3))

series173.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ x (+ x y))
86.0ms
(pow (/ x (+ x y)) 3)
42.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify732.0ms

Counts
150 → 150
Iterations

Useful iterations: 2 (210.0ms)

IterNodesCost
01472035
13821607
212031447
done50001447

prune207.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

end0.0ms

sample253.0ms

Algorithm
intervals
Results
129.0ms8000×body80valid