Details

Time bar (total: 8.7s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify801.0ms

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: 19.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.9b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite123.0ms

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:
19.0ms
(* (+ x y) (+ x y))
60.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
37.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series214.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (+ x y) (+ x y))
41.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
159.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.4s

Counts
149 → 149
Iterations

Useful iterations: 2 (410.0ms)

IterNodesCost
02183333
18003063
244162795
done50002795

prune288.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.5b

localize8.0ms

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)))
18.7b
(/ x (* (+ x y) (+ x y)))

rewrite126.0ms

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:
19.0ms
(* (+ x y) (+ x y))
18.0ms
(/ y (+ (+ x y) 1.0))
75.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms
(/ x (* (+ x y) (+ x y)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ x y) (+ x y))
45.0ms
(/ y (+ (+ x y) 1.0))
162.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
68.0ms
(/ x (* (+ x y) (+ x y)))

simplify1.0s

Counts
182 → 182
Iterations

Useful iterations: 2 (462.0ms)

IterNodesCost
02172873
16472602
227042323
done50012323

prune334.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.2b
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
97×add-exp-log
70×times-frac
61×add-cbrt-cube
60×add-sqr-sqrt
48×add-cube-cbrt
40×prod-exp
36×associate-*l*
32×div-exp
31×distribute-lft-out
22×associate-*r* cbrt-unprod
19×cbrt-undiv
11×pow1
10×associate-/r/
9×associate-/r*
6×frac-times associate-*r/ associate-/l*
5×rec-exp flip3-+ 1-exp flip-+ div-inv
4×pow-prod-down associate-*l/ add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
Counts
4 → 199
Calls
4 calls:
5.0ms
(/ x (+ x y))
18.0ms
(/ y (+ (+ x y) 1.0))
59.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
65.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series380.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ x (+ x y))
46.0ms
(/ y (+ (+ x y) 1.0))
126.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
163.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify987.0ms

Counts
211 → 211
Iterations

Useful iterations: 2 (414.0ms)

IterNodesCost
02613690
17903312
227572810
done50002810

prune357.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (* (/ x (+ x y)) y) (+ x y))
0.1b
(/ (/ (* (/ x (+ x y)) y) (+ x y)) (+ (+ x y) 1.0))
7.1b
(* (/ x (+ x y)) y)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
132×*-un-lft-identity
103×times-frac
52×add-sqr-sqrt
48×distribute-lft-out
47×add-cube-cbrt
34×add-exp-log add-cbrt-cube
20×associate-/r/
18×associate-*l*
14×cbrt-undiv div-exp associate-/l*
13×associate-/r*
10×flip3-+ flip-+ div-inv
6×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×frac-2neg associate-*r* clear-num
2×associate-*l/ associate-/l/ unswap-sqr
1×pow-prod-down *-commutative
Counts
4 → 184
Calls
4 calls:
5.0ms
(/ x (+ x y))
13.0ms
(/ (* (/ x (+ x y)) y) (+ x y))
32.0ms
(/ (/ (* (/ x (+ x y)) y) (+ x y)) (+ (+ x y) 1.0))
16.0ms
(* (/ x (+ x y)) y)

series344.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ x (+ x y))
82.0ms
(/ (* (/ x (+ x y)) y) (+ x y))
166.0ms
(/ (/ (* (/ x (+ x y)) y) (+ x y)) (+ (+ x y) 1.0))
50.0ms
(* (/ x (+ x y)) y)

simplify1.0s

Counts
196 → 196
Iterations

Useful iterations: 2 (504.0ms)

IterNodesCost
02323490
16163262
226213016
done50013016

prune344.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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

sample360.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid