Details

Time bar (total: 8.0s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

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

localize4.0ms

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 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:
6.0ms
(/ x (+ x y))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ x (+ x y))

simplify3.2s

Counts
38 → 38
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
061336
1122317
2259299
3542299
41300299
54958299
done5000299

prune78.0ms

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)))

rewrite76.0ms

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:
6.0ms
(/ x (+ x y))
41.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
11.0ms
(sqrt (/ x (+ x y)))
7.0ms
(sqrt (/ x (+ x y)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ x (+ x y))
48.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
75.0ms
(sqrt (/ x (+ x y)))
75.0ms
(sqrt (/ x (+ x y)))

simplify2.0s

Counts
221 → 221
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01833207
13012251
28832129
328312090
done50002090

prune493.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

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))

rewrite30.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u 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 → 147
Calls
3 calls:
5.0ms
(/ x (+ x y))
8.0ms
(pow (/ x (+ x y)) 3)
10.0ms
(cbrt (pow (/ x (+ x y)) 3))

series205.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ x (+ x y))
100.0ms
(pow (/ x (+ x y)) 3)
56.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify1.1s

Counts
156 → 156
Iterations

Useful iterations: 2 (231.0ms)

IterNodesCost
01532081
13911643
212211483
done50001483

prune257.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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

sample258.0ms

Algorithm
intervals
Results
127.0ms8000×body80valid