Details

Time bar (total: 10.5s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0917
13617
213417
344417
4143617
done500017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.8b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite116.0ms

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:
16.0ms
(* (+ x y) (+ x y))
59.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
33.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series212.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (+ x y) (+ x y))
43.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
154.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.4s

Counts
155 → 155
Iterations

Useful iterations: 2 (476.0ms)

IterNodesCost
02243413
18173113
245692834
done50002834

prune327.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.0b

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)))
18.9b
(/ x (* (+ x y) (+ x y)))

rewrite121.0ms

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:
18.0ms
(/ y (+ (+ x y) 1.0))
16.0ms
(* (+ x y) (+ x y))
70.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
10.0ms
(/ x (* (+ x y) (+ x y)))

series281.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ y (+ (+ x y) 1.0))
14.0ms
(* (+ x y) (+ x y))
155.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
64.0ms
(/ x (* (+ x y) (+ x y)))

simplify1.2s

Counts
190 → 190
Iterations

Useful iterations: 2 (526.0ms)

IterNodesCost
02252961
16622680
228152397
done50002397

prune388.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
92×*-un-lft-identity
70×times-frac
64×add-sqr-sqrt
61×add-cbrt-cube
47×add-cube-cbrt
42×prod-exp
39×associate-*r*
36×div-exp
23×distribute-lft-out
22×cbrt-unprod
19×cbrt-undiv associate-*l*
12×pow1
10×associate-/r/
8×associate-/r*
7×rec-exp 1-exp
6×frac-times associate-*l/ associate-/l* unswap-sqr
5×flip3-+ flip-+ div-inv
4×expm1-log1p-u associate-*r/ pow-prod-down log1p-expm1-u add-log-exp
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 211
Calls
4 calls:
8.0ms
(/ 1 (+ x y))
5.0ms
(/ x (+ x y))
30.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))
66.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ 1 (+ x y))
43.0ms
(/ x (+ x y))
61.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))
158.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

simplify1.2s

Counts
223 → 223
Iterations

Useful iterations: 2 (616.0ms)

IterNodesCost
02683582
18173009
227702544
done50002544

prune402.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))))

rewrite138.0ms

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:
5.0ms
(/ 1 (+ x y))
5.0ms
(/ x (+ x y))
59.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
59.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series367.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 1 (+ x y))
38.0ms
(/ x (+ x y))
127.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
164.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify1.2s

Counts
219 → 219
Iterations

Useful iterations: 2 (619.0ms)

IterNodesCost
02633647
17993222
228042738
done50002738

prune392.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes252.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11217
done1217

end0.0ms

sample369.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid