Details

Time bar (total: 11.7s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
13617
215717
369317
4363217
done500017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
20.7b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite300.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 146
Calls
3 calls:
42.0ms
(* (+ x y) (+ x y))
145.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
100.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series307.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* (+ x y) (+ x y))
70.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
211.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify603.0ms

Counts
155 → 155
Iterations

Useful iterations: done (592.0ms)

IterNodesCost
02243413
110013179
done50002878

prune455.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.2b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
17.1b
(/ x (* (+ x y) (+ x y)))

rewrite348.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 178
Calls
4 calls:
63.0ms
(* (+ x y) (+ x y))
46.0ms
(/ y (+ (+ x y) 1.0))
192.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
32.0ms
(/ x (* (+ x y) (+ x y)))

series410.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (+ x y) (+ x y))
67.0ms
(/ y (+ (+ x y) 1.0))
235.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
82.0ms
(/ x (* (+ x y) (+ x y)))

simplify521.0ms

Counts
190 → 190
Iterations

Useful iterations: done (515.0ms)

IterNodesCost
02252961
17532732
done50002427

prune484.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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

rewrite369.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 318
Calls
4 calls:
22.0ms
(/ x (+ x y))
48.0ms
(/ y (+ (+ x y) 1.0))
52.0ms
(/ (/ x (+ x y)) (+ x y))
224.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series471.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ x (+ x y))
73.0ms
(/ y (+ (+ x y) 1.0))
86.0ms
(/ (/ x (+ x y)) (+ x y))
254.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify668.0ms

Counts
330 → 330
Iterations

Useful iterations: done (654.0ms)

IterNodesCost
03375725
110545405
done50005059

prune857.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize10.0ms

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

rewrite434.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 342
Calls
4 calls:
13.0ms
(/ x (+ x y))
53.0ms
(/ y (+ (+ x y) 1.0))
246.0ms
(* (/ x (+ x y)) (/ (/ y (+ (+ x y) 1.0)) (+ x y)))
101.0ms
(/ (/ y (+ (+ x y) 1.0)) (+ x y))

series439.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ x (+ x y))
76.0ms
(/ y (+ (+ x y) 1.0))
199.0ms
(* (/ x (+ x y)) (/ (/ y (+ (+ x y) 1.0)) (+ x y)))
106.0ms
(/ (/ y (+ (+ x y) 1.0)) (+ x y))

simplify587.0ms

Counts
354 → 354
Iterations

Useful iterations: done (577.0ms)

IterNodesCost
03476623
111226129
done50015858

prune907.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01434
12034
done2034

end0.0ms

sample786.0ms

Algorithm
intervals
Results
519.0ms8000×body80valid