Details

Time bar (total: 7.5s)

sample25.0ms

Algorithm
intervals
Results
9.0ms467×body80valid

simplify73.0ms

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

prune4.0ms

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))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* (+ x y) (+ x y))

simplify1.1s

Counts
43 → 43
Iterations
IterNodes
done5000
21759
1226
062

prune137.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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 distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
11.0ms
(+ (* x (+ x y)) (* y (+ x y)))
18.0ms
(* x (+ x y))

series56.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* x (+ x y)) (* y (+ x y)))
29.0ms
(* x (+ x y))

simplify1.1s

Counts
49 → 49
Iterations
IterNodes
done5001
22110
1327
093

prune164.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
6×add-sqr-sqrt
5×associate-*r*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*l* distribute-lft-out
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
72.0ms
(* y (+ (+ x x) y))
22.0ms
(+ (* x x) (* y (+ (+ x x) y)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* y (+ (+ x x) y))
26.0ms
(+ (* x x) (* y (+ (+ x x) y)))

simplify1.0s

Counts
43 → 43
Iterations
IterNodes
done5002
21535
1250
072

prune146.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ x y))
0.1b
(* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y)))
0.2b
(* (* x (+ x y)) (* x (+ x y)))
31.3b
(cbrt (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))))

rewrite468.0ms

Algorithm
rewrite-expression-head
Rules
200×pow1
140×associate-*r/
87×pow-prod-down
61×flip3-+ flip-+
60×frac-times
59×add-cbrt-cube add-exp-log
40×prod-exp cbrt-unprod
38×pow-prod-up
30×associate-*l/
26×cbrt-div
19×pow-plus
16×pow-sqr
9×distribute-rgt-in distribute-lft-in
8×add-sqr-sqrt *-un-lft-identity
6×associate-*r* add-cube-cbrt
5×associate-*l*
4×pow2 add-log-exp
3×*-commutative
2×pow3
1×cbrt-prod pow1/3 swap-sqr rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
4 → 209
Calls
4 calls:
15.0ms
(* x (+ x y))
207.0ms
(* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y)))
45.0ms
(* (* x (+ x y)) (* x (+ x y)))
191.0ms
(cbrt (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* x (+ x y))
60.0ms
(* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y)))
30.0ms
(* (* x (+ x y)) (* x (+ x y)))
30.0ms
(cbrt (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))))

simplify883.0ms

Counts
221 → 221
Iterations
IterNodes
done5000
1713
0220

prune737.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes167.0ms

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
done10
110
06

end0.0ms

sample1.0s

Algorithm
intervals
Results
444.0ms14088×body80valid