Details

Time bar (total: 8.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms364×body80valid

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1187
2367
3577
4817
5877
done877

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x (+ x y)) 2.0)
0.0b
(* x (+ x y))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity associate-*r*
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*l/ *-commutative flip-+ add-log-exp
1×distribute-rgt-in distribute-lft-in distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
45.0ms
(* (* x (+ x y)) 2.0)
24.0ms
(* x (+ x y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (* x (+ x y)) 2.0)
36.0ms
(* x (+ x y))

simplify887.0ms

Counts
49 → 49
Iterations

Useful iterations: done (885.0ms)

IterNodesCost
072439
1220419
21394357
done5000355

prune125.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out add-log-exp
Counts
1 → 23
Calls
1 calls:
32.0ms
(* (* 2.0 x) (+ x y))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (* 2.0 x) (+ x y))

simplify1.2s

Counts
26 → 26
Iterations

Useful iterations: 2 (196.0ms)

IterNodesCost
057270
1177249
21382209
done5001209

prune60.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x (* 2.0 x)) (* y (* 2.0 x)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt distribute-rgt-out *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 12
Calls
1 calls:
36.0ms
(+ (* x (* 2.0 x)) (* y (* 2.0 x)))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(+ (* x (* 2.0 x)) (* y (* 2.0 x)))

simplify703.0ms

Counts
15 → 15
Iterations

Useful iterations: done (702.0ms)

IterNodesCost
035253
1119184
2682158
done5000154

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 2.0 x) (+ x y))
0.3b
(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
7.4b
(sqrt (* (* 2.0 x) (+ x y)))
7.4b
(sqrt (* (* 2.0 x) (+ x y)))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
20×associate-*r/
17×pow-prod-up
16×sqrt-div
14×pow1/2
11×add-exp-log add-sqr-sqrt *-un-lft-identity pow-sqr add-cbrt-cube
9×add-cube-cbrt flip3-+ flip-+
8×associate-*r*
6×sqrt-prod
5×associate-*l*
4×frac-times swap-sqr prod-exp cbrt-unprod add-log-exp
2×associate-*l/ *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out unswap-sqr
Counts
4 → 125
Calls
4 calls:
31.0ms
(* (* 2.0 x) (+ x y))
183.0ms
(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
21.0ms
(sqrt (* (* 2.0 x) (+ x y)))
17.0ms
(sqrt (* (* 2.0 x) (+ x y)))

series552.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (* 2.0 x) (+ x y))
142.0ms
(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
192.0ms
(sqrt (* (* 2.0 x) (+ x y)))
165.0ms
(sqrt (* (* 2.0 x) (+ x y)))

simplify2.6s

Counts
137 → 137
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01401865
13821384
226181249
done50021196

prune433.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0913
11511
done1511

end0.0ms

sample996.0ms

Algorithm
intervals
Results
596.0ms11191×body80valid