Details

Time bar (total: 14.6s)

sample36.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
13617
215717
369317
4363217
done500017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
20.4b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite432.0ms

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:
62.0ms
(* (+ x y) (+ x y))
233.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
127.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series320.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (+ x y) (+ x y))
68.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
235.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify607.0ms

Counts
155 → 155
Iterations

Useful iterations: done (599.0ms)

IterNodesCost
02243413
110013179
done50002878

prune495.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.9b

localize10.0ms

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)))
19.4b
(/ x (* (+ x y) (+ x y)))

rewrite315.0ms

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:
51.0ms
(* (+ x y) (+ x y))
38.0ms
(/ y (+ (+ x y) 1.0))
180.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
39.0ms
(/ x (* (+ x y) (+ x y)))

series446.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (+ x y) (+ x y))
86.0ms
(/ y (+ (+ x y) 1.0))
240.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
89.0ms
(/ x (* (+ x y) (+ x y)))

simplify649.0ms

Counts
190 → 190
Iterations

Useful iterations: done (641.0ms)

IterNodesCost
02252961
17532732
done50002427

prune600.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

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

rewrite398.0ms

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:
12.0ms
(/ x (+ x y))
48.0ms
(/ y (+ (+ x y) 1.0))
45.0ms
(/ (/ x (+ x y)) (+ x y))
276.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series491.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ x (+ x y))
85.0ms
(/ y (+ (+ x y) 1.0))
96.0ms
(/ (/ x (+ x y)) (+ x y))
239.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify728.0ms

Counts
330 → 330
Iterations

Useful iterations: done (717.0ms)

IterNodesCost
03375725
110545405
done50005059

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize11.0ms

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))) (+ x y))

rewrite271.0ms

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:
21.0ms
(/ x (+ x y))
67.0ms
(/ y (+ (+ x y) 1.0))
122.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
48.0ms
(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

series531.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ x (+ x y))
57.0ms
(/ y (+ (+ x y) 1.0))
188.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
234.0ms
(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

simplify3.2s

Counts
187 → 187
Iterations

Useful iterations: 2 (867.0ms)

IterNodesCost
02222849
16862663
248952387
done50002387

prune578.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes66.0ms

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: 0 (0.0ms)

IterNodesCost
0917
11217
done1217

end0.0ms

sample859.0ms

Algorithm
intervals
Results
581.0ms8000×body80valid