Details

Time bar (total: 10.3s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
13617
215617
353517
4228117
done500017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

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))
16.5b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite220.0ms

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:
32.0ms
(* (+ x y) (+ x y))
113.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
67.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* (+ x y) (+ x y))
48.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
163.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify485.0ms

Counts
155 → 155
Iterations

Useful iterations: done (480.0ms)

IterNodesCost
02243413
18833113
done50002844

prune315.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(* (+ x y) (+ x y))
0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
19.4b
(/ x (* (+ x y) (+ x y)))

rewrite218.0ms

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:
34.0ms
(/ y (+ (+ x y) 1.0))
33.0ms
(* (+ x y) (+ x y))
128.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
15.0ms
(/ x (* (+ x y) (+ x y)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ y (+ (+ x y) 1.0))
16.0ms
(* (+ x y) (+ x y))
169.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
68.0ms
(/ x (* (+ x y) (+ x y)))

simplify1.6s

Counts
190 → 190
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02252961
16372680
227232397
done50012293

prune374.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ 1 (+ x y))
0.0b
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.1b
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite240.0ms

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×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 207
Calls
4 calls:
11.0ms
(/ x (+ x y))
11.0ms
(/ 1 (+ x y))
97.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
111.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series359.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ x (+ x y))
34.0ms
(/ 1 (+ x y))
121.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
161.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify1.5s

Counts
219 → 219
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02633647
17313222
227802738
done50012732

prune358.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

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

rewrite194.0ms

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-*r*
18×associate-*l*
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×expm1-log1p-u log1p-expm1-u 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 → 175
Calls
4 calls:
10.0ms
(/ x (+ x y))
34.0ms
(/ y (+ (+ x y) 1.0))
99.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
43.0ms
(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ y x))

series380.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ x (+ x y))
46.0ms
(/ y (+ (+ x y) 1.0))
129.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
164.0ms
(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ y x))

simplify1.0s

Counts
187 → 187
Iterations

Useful iterations: 2 (439.0ms)

IterNodesCost
02352849
16572659
224492345
done50002345

prune421.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01627
12225
done2225

end0.0ms

sample379.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid