Details

Time bar (total: 1.9s)

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2255
3265
4265
done265

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite22.0ms

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:
21.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify136.0ms

Counts
36 → 36
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209283
1791264
24176259
35001259
done5001259

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.3b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 121
Calls
2 calls:
21.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
34.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series110.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
51.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify51.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04431186
120811068
25002975
done5002975

prune162.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ (* x y) 2.0) (/ (* x y) 2.0))
4.0b
(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
15.8b
(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log add-cbrt-cube
38×add-sqr-sqrt
37×times-frac
31×*-un-lft-identity
29×add-cube-cbrt
25×associate-*l*
17×prod-exp cbrt-unprod
14×cbrt-undiv div-exp
12×pow1 associate-*r*
8×difference-of-squares
7×swap-sqr
6×div-inv
4×flip3-- associate-/r* associate-/r/ flip--
3×frac-times associate-*r/ associate-/l* add-log-exp unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down associate-*l/ *-commutative
1×pow2 frac-2neg pow-plus clear-num pow-sqr pow-prod-up distribute-lft-out--
Counts
3 → 136
Calls
3 calls:
31.0ms
(* (/ (* x y) 2.0) (/ (* x y) 2.0))
14.0ms
(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
62.0ms
(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

series229.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* (/ (* x y) 2.0) (/ (* x y) 2.0))
74.0ms
(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
119.0ms
(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

simplify99.0ms

Counts
145 → 145
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07011594
139801375
250011365
done50011365

prune288.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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
0115
1115
done115

end0.0ms

sample369.0ms

Algorithm
intervals
Results
196.0ms7999×body80valid
0.0ms1×body2560valid