Details

Time bar (total: 7.8s)

sample25.0ms

Algorithm
intervals
Results
9.0ms452×body80valid

simplify103.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1117
2257
3537
41137
51947
62147
72207
done2207

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ x y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
36.0ms
(* (+ x y) (+ x y))

series23.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(* (+ x y) (+ x y))

simplify1.0s

Counts
43 → 43
Iterations

Useful iterations: done (1.0s)

IterNodesCost
062516
1226453
21687407
done5002400

prune72.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ x y) x) (* (+ x y) y))
0.0b
(* (+ x y) y)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l/
6×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
4×pow1 add-exp-log add-cube-cbrt associate-*l* frac-add add-cbrt-cube add-log-exp
3×associate-*r*
2×distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
21.0ms
(+ (* (+ x y) x) (* (+ x y) y))
33.0ms
(* (+ x y) y)

series76.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* (+ x y) x) (* (+ x y) y))
39.0ms
(* (+ x y) y)

simplify1.1s

Counts
43 → 43
Iterations

Useful iterations: done (1.1s)

IterNodesCost
088643
1276549
21775481
done5002479

prune171.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) y)
0.1b
(* (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)))
8.3b
(sqrt (* (+ x y) y))
8.3b
(sqrt (* (+ x y) y))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 104
Calls
4 calls:
27.0ms
(* (+ x y) y)
78.0ms
(* (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)))
12.0ms
(sqrt (* (+ x y) y))
12.0ms
(sqrt (* (+ x y) y))

series208.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ x y) y)
51.0ms
(* (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)))
63.0ms
(sqrt (* (+ x y) y))
55.0ms
(sqrt (* (+ x y) y))

simplify854.0ms

Counts
116 → 116
Iterations

Useful iterations: done (850.0ms)

IterNodesCost
01041282
1245954
21345866
done5002848

prune354.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (sqrt (* (+ x y) y))) (sqrt (sqrt (* (+ x y) y))))
8.3b
(sqrt (* (+ x y) y))
8.3b
(sqrt (* (+ x y) y))
8.3b
(sqrt (* (+ x y) y))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
80×sqrt-pow1
70×pow1
30×sqrt-div
29×sqrt-prod
25×pow-prod-down
24×add-sqr-sqrt
21×pow1/2
20×associate-*l/
14×pow-prod-up
12×add-cube-cbrt *-un-lft-identity
9×flip3-+ swap-sqr flip-+
8×pow-sqr
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
4×frac-times add-log-exp unswap-sqr
2×associate-*r/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
96.0ms
(* (sqrt (sqrt (* (+ x y) y))) (sqrt (sqrt (* (+ x y) y))))
10.0ms
(sqrt (* (+ x y) y))
10.0ms
(sqrt (* (+ x y) y))
15.0ms
(sqrt (* (+ x y) y))

series228.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (sqrt (sqrt (* (+ x y) y))) (sqrt (sqrt (* (+ x y) y))))
56.0ms
(sqrt (* (+ x y) y))
57.0ms
(sqrt (* (+ x y) y))
55.0ms
(sqrt (* (+ x y) y))

simplify1.4s

Counts
130 → 130
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01101780
12211128
29651059
done50001039

prune460.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
11011
done1011

end0.0ms

sample1.2s

Algorithm
intervals
Results
344.0ms14174×body80valid