Details

Time bar (total: 7.0s)

sample31.0ms

Algorithm
intervals
Results
12.0ms467×body80valid

simplify101.0ms

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

prune8.0ms

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) (+ x y))

rewrite28.0ms

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:
27.0ms
(* (+ x y) (+ x y))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* (+ x y) (+ x y))

simplify706.0ms

Counts
43 → 43
Iterations
IterNodes
done5000
21759
1226
062

prune135.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/
6×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
4×pow1 add-cbrt-cube associate-*r* frac-add add-exp-log add-cube-cbrt add-log-exp
3×distribute-rgt-in distribute-lft-in associate-*l*
2×associate-+l+ associate-+r+
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 42
Calls
2 calls:
21.0ms
(+ (* x (+ x y)) (* y (+ y x)))
22.0ms
(* x (+ x y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* x (+ x y)) (* y (+ y x)))
47.0ms
(* x (+ x y))

simplify1.0s

Counts
48 → 48
Iterations
IterNodes
done5000
22169
1348
098

prune187.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:
17.0ms
(+ (* (* 2 x) y) (* y y))
32.0ms
(+ (* x x) (+ (* (* 2 x) y) (* y y)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ (* (* 2 x) y) (* y y))
31.0ms
(+ (* x x) (+ (* (* 2 x) y) (* y y)))

simplify778.0ms

Counts
31 → 31
Iterations
IterNodes
done5000
21577
1218
058

prune124.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (cbrt (pow (* x (+ x y)) 3)) (* y (+ y x)))
0.0b
(* x (+ x y))
0.3b
(pow (* x (+ x y)) 3)
31.3b
(cbrt (pow (* x (+ x y)) 3))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-*r/
10×add-sqr-sqrt *-un-lft-identity
9×pow1 add-cbrt-cube add-exp-log
8×cube-div cbrt-prod flip3-+ add-cube-cbrt flip-+
6×cbrt-div add-log-exp
4×associate-*r* frac-add
3×pow-unpow associate-*l*
2×distribute-rgt-in cube-mult associate-+r+ unpow-prod-down pow-pow distribute-lft-in unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×pow-to-exp +-commutative sum-log pow1/3 *-commutative rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
4 → 83
Calls
4 calls:
21.0ms
(+ (cbrt (pow (* x (+ x y)) 3)) (* y (+ y x)))
23.0ms
(* x (+ x y))
12.0ms
(pow (* x (+ x y)) 3)
4.0ms
(cbrt (pow (* x (+ x y)) 3))

series161.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (cbrt (pow (* x (+ x y)) 3)) (* y (+ y x)))
36.0ms
(* x (+ x y))
43.0ms
(pow (* x (+ x y)) 3)
47.0ms
(cbrt (pow (* x (+ x y)) 3))

simplify2.0s

Counts
95 → 95
Iterations
IterNodes
done5000
23426
1520
0152

prune342.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
211
110
07

end0.0ms

sample826.0ms

Algorithm
intervals
Results
353.0ms14088×body80valid