Details

Time bar (total: 12.8s)

sample30.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
13617
215317
365717
4319817
done500017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
16.4b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite292.0ms

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:
55.0ms
(* (+ x y) (+ x y))
128.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
96.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series289.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (+ x y) (+ x y))
64.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
208.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify514.0ms

Counts
149 → 149
Iterations

Useful iterations: done (509.0ms)

IterNodesCost
02183333
19803129
done50022845

prune409.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(* (+ x y) (+ x y))
0.2b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
20.2b
(/ x (* (+ x y) (+ x y)))

rewrite302.0ms

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:
54.0ms
(/ y (+ (+ x y) 1.0))
54.0ms
(* (+ x y) (+ x y))
165.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
16.0ms
(/ x (* (+ x y) (+ x y)))

series372.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ y (+ (+ x y) 1.0))
17.0ms
(* (+ x y) (+ x y))
207.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
91.0ms
(/ x (* (+ x y) (+ x y)))

simplify400.0ms

Counts
182 → 182
Iterations

Useful iterations: done (395.0ms)

IterNodesCost
02172873
17332654
done50012353

prune443.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
90×*-un-lft-identity
67×times-frac
61×add-cbrt-cube
59×add-sqr-sqrt
47×add-cube-cbrt
40×prod-exp
36×associate-*l*
33×div-exp
23×distribute-lft-out
22×associate-*r* cbrt-unprod
19×cbrt-undiv
12×pow1
10×associate-/r/
8×associate-/r*
6×frac-times rec-exp 1-exp associate-*r/ associate-/l*
5×flip3-+ flip-+ div-inv
4×pow-prod-down associate-*l/ add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 199
Calls
4 calls:
21.0ms
(/ 1 (+ x y))
12.0ms
(/ x (+ x y))
135.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
174.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series485.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ 1 (+ x y))
46.0ms
(/ x (+ x y))
191.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
213.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify372.0ms

Counts
211 → 211
Iterations

Useful iterations: done (366.0ms)

IterNodesCost
02553555
18563240
done50002720

prune553.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
95×*-un-lft-identity
62×times-frac
54×add-sqr-sqrt
42×add-cube-cbrt
38×add-exp-log add-cbrt-cube
30×distribute-lft-out
21×associate-*l*
18×associate-*r*
15×cbrt-undiv div-exp
13×associate-/r*
10×associate-/r/
8×prod-exp cbrt-unprod
7×associate-/l*
6×pow1
5×flip3-+ flip-+ div-inv
4×add-log-exp unswap-sqr
3×frac-2neg clear-num associate-/l/
2×frac-times associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 167
Calls
4 calls:
37.0ms
(/ y (+ (+ x y) 1.0))
21.0ms
(/ x (+ x y))
162.0ms
(* (/ y (+ (+ x y) 1.0)) (/ x (+ x y)))
50.0ms
(/ (* (/ y (+ (+ x y) 1.0)) (/ x (+ x y))) (+ x y))

series478.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ y (+ (+ x y) 1.0))
45.0ms
(/ x (+ x y))
152.0ms
(* (/ y (+ (+ x y) 1.0)) (/ x (+ x y)))
225.0ms
(/ (* (/ y (+ (+ x y) 1.0)) (/ x (+ x y))) (+ x y))

simplify3.5s

Counts
179 → 179
Iterations

Useful iterations: 2 (759.0ms)

IterNodesCost
02172774
16752597
248472327
done50012327

prune632.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01119
11619
done1619

end2.0ms

sample852.0ms

Algorithm
intervals
Results
563.0ms8000×body80valid