Details

Time bar (total: 4.9s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 42
Calls
1 calls:
11.0ms
(/ (+ x y) (+ y 1.0))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (+ x y) (+ y 1.0))

simplify878.0ms

Counts
45 → 45
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
080552
1198526
2554492
31764492
done5000492

prune70.0ms

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)))

rewrite34.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
2 → 156
Calls
2 calls:
13.0ms
(/ (+ y 1.0) (+ x y))
13.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (+ y 1.0) (+ x y))
31.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

simplify1.1s

Counts
162 → 162
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
01972584
14712255
217991960
done50001960

prune174.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
135×*-un-lft-identity
120×times-frac
113×add-sqr-sqrt
75×sqrt-prod
67×add-cube-cbrt
34×associate-*r*
31×add-exp-log distribute-lft-out
27×associate-*l*
19×add-cbrt-cube
15×unswap-sqr
14×associate-/r*
11×div-exp
8×sqrt-div prod-exp associate-/r/
7×pow1 associate-/l*
6×cbrt-undiv
5×flip3-+ flip-+
4×cbrt-unprod div-inv
3×expm1-log1p-u rec-exp pow-flip 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 212
Calls
3 calls:
6.0ms
(/ 1 (sqrt (+ y 1.0)))
50.0ms
(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ 1.0 y))))
14.0ms
(/ (+ x y) (sqrt (+ 1.0 y)))

series162.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ 1 (sqrt (+ y 1.0)))
31.0ms
(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ 1.0 y))))
77.0ms
(/ (+ x y) (sqrt (+ 1.0 y)))

simplify1.6s

Counts
221 → 221
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02803708
17433318
232862759
done50002755

prune356.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

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

sample259.0ms

Algorithm
intervals
Results
134.0ms8000×body80valid