Details

Time bar (total: 10.7s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify855.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0917
13617
213017
341117
4121217
done500017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.6b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times flip3-+ flip-+
31×add-exp-log add-cbrt-cube
30×associate-*l/
27×*-un-lft-identity
26×associate-/r/
18×associate-*r/
15×pow1
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×associate-*r* distribute-lft-out
8×add-cube-cbrt
6×cbrt-undiv swap-sqr div-exp
5×associate-*l*
4×pow-prod-down
3×add-log-exp
2×distribute-rgt-in distribute-lft-in *-commutative unswap-sqr
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* pow-sqr pow-prod-up div-inv associate-/l*
Counts
3 → 140
Calls
3 calls:
18.0ms
(* (+ x y) (+ x y))
65.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
39.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (+ x y) (+ x y))
40.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
162.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.4s

Counts
149 → 149
Iterations

Useful iterations: 2 (430.0ms)

IterNodesCost
02183333
18003063
244162795
done50002795

prune306.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
19.9b
(/ x (* (+ x y) (+ x y)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
43×add-sqr-sqrt
40×times-frac
34×add-exp-log add-cbrt-cube
31×add-cube-cbrt
27×distribute-lft-out
25×associate-*r*
20×flip3-+ associate-/r/ flip-+
19×associate-*l*
13×pow1 frac-times
10×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r/ associate-*l/
6×swap-sqr associate-/r* associate-/l*
5×unswap-sqr
4×div-inv add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr pow-prod-up
Counts
4 → 170
Calls
4 calls:
18.0ms
(* (+ x y) (+ x y))
21.0ms
(/ y (+ (+ x y) 1.0))
78.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms
(/ x (* (+ x y) (+ x y)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (+ x y) (+ x y))
46.0ms
(/ y (+ (+ x y) 1.0))
168.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
69.0ms
(/ x (* (+ x y) (+ x y)))

simplify1.1s

Counts
182 → 182
Iterations

Useful iterations: 2 (484.0ms)

IterNodesCost
02172873
16472602
227042323
done50012323

prune351.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
313×*-un-lft-identity
303×times-frac
163×add-sqr-sqrt
142×add-cube-cbrt
89×distribute-lft-out
78×associate-*l*
34×add-exp-log add-cbrt-cube
28×associate-/r/
24×associate-/l*
21×associate-*r*
14×cbrt-undiv flip3-+ div-exp flip-+ div-inv
13×associate-/r*
6×pow1 prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 310
Calls
4 calls:
8.0ms
(/ x (+ x y))
19.0ms
(/ y (+ (+ x y) 1.0))
16.0ms
(/ (/ x (+ x y)) (+ x y))
102.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ x (+ x y))
45.0ms
(/ y (+ (+ x y) 1.0))
67.0ms
(/ (/ x (+ x y)) (+ x y))
169.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify1.1s

Counts
322 → 322
Iterations

Useful iterations: 2 (546.0ms)

IterNodesCost
03295641
19795327
231184958
done50004958

prune599.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
411×*-un-lft-identity
351×times-frac
177×add-sqr-sqrt
156×add-cube-cbrt
143×distribute-lft-out
90×associate-*r*
34×add-exp-log add-cbrt-cube
28×associate-/r/
27×associate-/l*
18×associate-*l*
14×cbrt-undiv flip3-+ div-exp flip-+ div-inv
13×associate-/r*
6×pow1 prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 334
Calls
4 calls:
5.0ms
(/ x (+ x y))
19.0ms
(/ y (+ (+ x y) 1.0))
40.0ms
(/ (/ y (+ (+ x y) 1.0)) (+ x y))
107.0ms
(* (/ x (+ x y)) (/ (/ y (+ (+ x y) 1.0)) (+ x y)))

series357.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ x (+ x y))
46.0ms
(/ y (+ (+ x y) 1.0))
98.0ms
(/ (/ y (+ (+ x y) 1.0)) (+ x y))
167.0ms
(* (/ x (+ x y)) (/ (/ y (+ (+ x y) 1.0)) (+ x y)))

simplify2.1s

Counts
346 → 346
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
03396535
110276031
240025721
done50015721

prune567.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11217
done1217

end0.0ms

sample354.0ms

Algorithm
intervals
Results
229.0ms8000×body80valid