Details

Time bar (total: 9.9s)

sample26.0ms

Algorithm
intervals
Results
11.0ms467×body80valid

simplify137.0ms

Counts
1 → 1
Iterations
IterNodes
done292
8292
7290
6273
5243
4147
365
227
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))

rewrite43.0ms

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 expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 42
Calls
1 calls:
41.0ms
(* (+ x y) (+ x y))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (+ x y) (+ x y))

simplify1.3s

Counts
45 → 45
Iterations
IterNodes
done5001
21738
1232
064

prune147.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l/
6×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
4×pow1 add-cbrt-cube associate-*l* frac-add add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×expm1-log1p-u log1p-expm1-u distribute-lft-out
1×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 42
Calls
2 calls:
18.0ms
(+ (* (+ x y) x) (* (+ x y) y))
25.0ms
(* (+ x y) x)

series74.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* (+ x y) x) (* (+ x y) y))
40.0ms
(* (+ x y) x)

simplify1.9s

Counts
48 → 48
Iterations
IterNodes
done5001
21876
1293
092

prune171.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (+ x y) x (* (+ x y) y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(fma (+ x y) x (* (+ x y) y))

simplify589.0ms

Counts
13 → 13
Iterations
IterNodes
done5000
3858
2150
143
022

prune69.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite591.0ms

Algorithm
rewrite-expression-head
Rules
200×pow1
152×associate-*l/
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
26×cbrt-div
19×pow-plus
18×associate-*r/
16×pow-sqr
8×add-sqr-sqrt *-un-lft-identity
6×associate-*l* add-cube-cbrt
5×associate-*r*
4×pow2 expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×pow3
1×cbrt-prod pow1/3 swap-sqr rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
4 → 207
Calls
4 calls:
29.0ms
(* (+ x y) x)
248.0ms
(* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x))
78.0ms
(* (* (+ x y) x) (* (+ x y) x))
218.0ms
(cbrt (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (+ x y) x)
89.0ms
(* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x))
45.0ms
(* (* (+ x y) x) (* (+ x y) x))
50.0ms
(cbrt (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)))

simplify2.5s

Counts
219 → 219
Iterations
IterNodes
done5000
23981
1630
0215

prune740.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes206.0ms

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
done7
17
05

end0.0ms

sample1.1s

Algorithm
intervals
Results
321.0ms14088×body80valid