Details

Time bar (total: 5.6s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
done87

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×associate-/r* 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 → 40
Calls
1 calls:
11.0ms
(/ (+ x y) (+ y 1.0))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ (+ x y) (+ y 1.0))

simplify1.3s

Counts
43 → 43
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
078536
1192511
2471477
31092477
42605477
done5000477

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y 1.0) (+ x y))
0.1b
(/ 1 (/ (+ y 1.0) (+ x y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
2 → 152
Calls
2 calls:
11.0ms
(/ (+ y 1.0) (+ x y))
13.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (+ y 1.0) (+ x y))
32.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

simplify1.9s

Counts
158 → 158
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01932548
14522153
210471932
330641900
done50011900

prune157.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ y 1.0))
0.1b
(/ 1 (sqrt (+ y 1.0)))
0.1b
(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))))
0.1b
(/ (+ x y) (sqrt (+ y 1.0)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
120×times-frac
116×add-sqr-sqrt
79×sqrt-prod
69×add-cube-cbrt
34×associate-*r*
32×add-exp-log distribute-lft-out
27×associate-*l*
20×add-cbrt-cube
15×unswap-sqr
14×associate-/r*
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
7×associate-/l*
6×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod div-inv add-log-exp
3×rec-exp pow-flip 1-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
1×frac-times rem-sqrt-square associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 222
Calls
4 calls:
4.0ms
(sqrt (+ y 1.0))
6.0ms
(/ 1 (sqrt (+ y 1.0)))
56.0ms
(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))))
12.0ms
(/ (+ x y) (sqrt (+ y 1.0)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(sqrt (+ y 1.0))
51.0ms
(/ 1 (sqrt (+ y 1.0)))
36.0ms
(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))))
75.0ms
(/ (+ x y) (sqrt (+ y 1.0)))

simplify962.0ms

Counts
234 → 234
Iterations

Useful iterations: done (956.0ms)

IterNodesCost
02623822
17103324
221962865
done50012859

prune352.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

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
067
187
done87

end0.0ms

sample286.0ms

Algorithm
intervals
Results
157.0ms7999×body80valid
0.0ms1×body1280valid