Details

Time bar (total: 6.2s)

sample21.0ms

Algorithm
intervals
Results
11.0ms465×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0811
1159
2239
3259
done259

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
3.0ms
(+ (* x 2.0) (* x x))
12.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series92.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* x 2.0) (* x x))
35.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

simplify1.1s

Counts
31 → 31
Iterations

Useful iterations: 3 (316.0ms)

IterNodesCost
057440
1182340
2703308
32276302
done5000302

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ 2.0 x))
0.0b
(+ (pow y 2) (* x (+ 2.0 x)))
0.0b
(+ (pow y 2) (* x (+ 2.0 x)))
0.1b
(* (sqrt (+ (pow y 2) (* x (+ 2.0 x)))) (sqrt (+ (pow y 2) (* x (+ 2.0 x)))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
21×pow1
18×sqrt-prod
16×*-un-lft-identity
14×add-cube-cbrt
12×sqrt-div
10×associate-*r*
9×flip3-+ associate-*l* flip-+
8×add-exp-log sqrt-pow1 pow1/2 swap-sqr add-cbrt-cube add-log-exp
5×pow-prod-up unswap-sqr
4×frac-times associate-+r+ associate-*r/ pow-prod-down
3×distribute-rgt-in distribute-lft-in pow-sqr
2×+-commutative associate-*l/ prod-exp sum-log *-commutative cbrt-unprod
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 106
Calls
4 calls:
10.0ms
(* x (+ 2.0 x))
7.0ms
(+ (pow y 2) (* x (+ 2.0 x)))
7.0ms
(+ (pow y 2) (* x (+ 2.0 x)))
42.0ms
(* (sqrt (+ (pow y 2) (* x (+ 2.0 x)))) (sqrt (+ (pow y 2) (* x (+ 2.0 x)))))

series136.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* x (+ 2.0 x))
29.0ms
(+ (pow y 2) (* x (+ 2.0 x)))
34.0ms
(+ (pow y 2) (* x (+ 2.0 x)))
30.0ms
(* (sqrt (+ (pow y 2) (* x (+ 2.0 x)))) (sqrt (+ (pow y 2) (* x (+ 2.0 x)))))

simplify2.1s

Counts
118 → 118
Iterations

Useful iterations: 3 (665.0ms)

IterNodesCost
01272344
12811617
29201479
340571435
done50011435

prune246.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow y 2) (* x (+ 2.0 x)))
0.1b
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
1.6b
(- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
30.5b
(/ (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (pow y 2) (* x (+ 2.0 x))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
25×add-sqr-sqrt
18×add-exp-log times-frac add-cbrt-cube
17×pow-prod-down
15×add-cube-cbrt *-un-lft-identity difference-of-squares
14×associate-*r/
9×distribute-rgt-in distribute-lft-in
8×prod-exp cbrt-unprod add-log-exp
6×flip3-+ flip-+ associate-/l* associate--r+
5×unpow-prod-down sqr-pow
4×frac-times flip3-- pow-sqr pow-prod-up flip--
3×associate-/r*
2×sub-neg pow-plus diff-log associate-*l/ associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg div-sub swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative div-inv
Counts
4 → 123
Calls
4 calls:
8.0ms
(- (pow y 2) (* x (+ 2.0 x)))
25.0ms
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
8.0ms
(- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
28.0ms
(/ (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (pow y 2) (* x (+ 2.0 x))))

series242.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (pow y 2) (* x (+ 2.0 x)))
35.0ms
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
79.0ms
(- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
96.0ms
(/ (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (pow y 2) (* x (+ 2.0 x))))

simplify774.0ms

Counts
135 → 135
Iterations

Useful iterations: 2 (224.0ms)

IterNodesCost
02093177
15802912
222902676
done50002676

prune304.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes79.0ms

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: 0 (1.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample762.0ms

Algorithm
intervals
Results
540.0ms14336×body80valid