Details

Time bar (total: 2.7s)

sample329.0ms

Algorithm
intervals
Results
6.0ms320×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
072
1152
2152
done152

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
47.0ms
(* (+ x y) z)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (+ x y) z)

simplify38.0ms

Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010684
141172
2181172
3500372
done500372

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×sqrt-div
17×add-sqr-sqrt sqrt-prod
14×associate-*l*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l/
9×flip3-+ flip-+
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
7.0ms
(sqrt (+ x y))
7.0ms
(sqrt (+ x y))
21.0ms
(* (sqrt (+ x y)) z)
50.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series174.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(sqrt (+ x y))
38.0ms
(sqrt (+ x y))
56.0ms
(* (sqrt (+ x y)) z)
45.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify100.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0315563
11044483
24230470
35001470
done5001470

prune183.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ x y) (sqrt z))
0.2b
(* (* (+ x y) (sqrt z)) (sqrt z))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r*
11×add-sqr-sqrt
9×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×associate-*l/
5×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
1×distribute-lft-out
Counts
2 → 48
Calls
2 calls:
24.0ms
(* (+ x y) (sqrt z))
41.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

series79.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (+ x y) (sqrt z))
33.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

simplify74.0ms

Counts
54 → 54
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0208281
1930233
23969226
35002226
done5002226

prune88.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(* (+ x y) (sqrt z))
0.2b
(* (* (* (+ x y) (sqrt z)) (sqrt (sqrt z))) (sqrt (sqrt z)))
0.2b
(* (* (+ x y) (sqrt z)) (sqrt (sqrt z)))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
32×sqrt-prod
24×associate-*r*
22×pow1
21×add-sqr-sqrt
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity
15×add-cube-cbrt
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
4×sqrt-pow1 add-log-exp
3×flip3-+ *-commutative flip-+
2×rem-sqrt-square pow1/2 unswap-sqr
1×distribute-lft-out
Counts
4 → 99
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
23.0ms
(* (+ x y) (sqrt z))
141.0ms
(* (* (* (+ x y) (sqrt z)) (sqrt (sqrt z))) (sqrt (sqrt z)))
44.0ms
(* (* (+ x y) (sqrt z)) (sqrt (sqrt z)))

series320.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(sqrt (sqrt z))
48.0ms
(* (+ x y) (sqrt z))
31.0ms
(* (* (* (+ x y) (sqrt z)) (sqrt (sqrt z))) (sqrt (sqrt z)))
111.0ms
(* (* (+ x y) (sqrt z)) (sqrt (sqrt z)))

simplify57.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0418742
12058605
25001559
done5001559

prune205.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072
172
done72

end0.0ms

sample444.0ms

Algorithm
intervals
Results
160.0ms10097×body80valid