Details

Time bar (total: 6.8s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
done87

prune1.0ms

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))

series35.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (+ x y) (+ y 1.0))

simplify2.7s

Counts
43 → 43
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
078536
1192511
2519477
31578477
44619477
done5000477

prune64.0ms

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)))

rewrite33.0ms

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))
15.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (+ y 1.0) (+ x y))
30.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

simplify1.0s

Counts
158 → 158
Iterations

Useful iterations: 2 (169.0ms)

IterNodesCost
01932548
14602223
217681932
done50011932

prune160.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

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)))

rewrite87.0ms

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))
7.0ms
(/ 1 (sqrt (+ y 1.0)))
55.0ms
(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))))
12.0ms
(/ (+ x y) (sqrt (+ y 1.0)))

series199.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ y 1.0))
58.0ms
(/ 1 (sqrt (+ y 1.0)))
31.0ms
(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))))
78.0ms
(/ (+ x y) (sqrt (+ y 1.0)))

simplify1.7s

Counts
234 → 234
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02623822
17223418
232252865
done50002859

prune357.0ms

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

sample265.0ms

Algorithm
intervals
Results
143.0ms7999×body80valid
0.0ms1×body1280valid