Details

Time bar (total: 7.0s)

sample30.0ms

Algorithm
intervals
Results
14.0ms433×body80valid

simplify86.0ms

Counts
1 → 1
Iterations
IterNodes
done231
7231
6225
5205
4110
353
225
111
04

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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-cbrt-cube add-exp-log
2×associate-*l/ associate-*r/
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:
29.0ms
(* (+ x y) (+ x y))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* (+ x y) (+ x y))

simplify767.0ms

Counts
43 → 43
Iterations
IterNodes
done5000
21759
1226
062

prune120.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (+ (* (* 2 x) y) (* y y)))
0.0b
(+ (* (* 2 x) y) (* y y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
1×associate-+r+ distribute-rgt-out
Counts
2 → 25
Calls
2 calls:
31.0ms
(+ (* x x) (+ (* (* 2 x) y) (* y y)))
13.0ms
(+ (* (* 2 x) y) (* y y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* x x) (+ (* (* 2 x) y) (* y y)))
52.0ms
(+ (* (* 2 x) y) (* y y))

simplify653.0ms

Counts
31 → 31
Iterations
IterNodes
done5002
21540
1218
058

prune101.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
7×pow1 flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
6×associate-*l*
5×add-log-exp
4×distribute-rgt-in distribute-lft-in frac-add
2×associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative sum-log
Counts
3 → 65
Calls
3 calls:
22.0ms
(* y (+ y x))
21.0ms
(* x (+ x y))
11.0ms
(+ (* x (+ x y)) (* y (+ y x)))

series112.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* y (+ y x))
38.0ms
(* x (+ x y))
34.0ms
(+ (* x (+ x y)) (* y (+ y x)))

simplify1.0s

Counts
74 → 74
Iterations
IterNodes
done5000
22659
1422
0122

prune277.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series988.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (cbrt y) (cbrt y))
250.0ms
(cbrt y)
251.0ms
(cbrt y)
254.0ms
(cbrt y)

simplify893.0ms

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune285.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes461.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample823.0ms

Algorithm
intervals
Results
432.0ms14298×body80valid