Details

Time bar (total: 4.8s)

sample21.0ms

Algorithm
intervals
Results
10.0ms438×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0811
1159
2239
3259
done259

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ (* y y) (* x (+ 2.0 x)))
10.0ms
(* x (+ 2.0 x))

series73.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (* y y) (* x (+ 2.0 x)))
43.0ms
(* x (+ 2.0 x))

simplify1.2s

Counts
42 → 42
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
070422
1203386
2678350
32725350
done5000350

prune71.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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-+r+ distribute-rgt-out
Counts
2 → 25
Calls
2 calls:
7.0ms
(+ (* y y) (+ (* 2.0 x) (* x x)))
3.0ms
(+ (* 2.0 x) (* x x))

series87.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* y y) (+ (* 2.0 x) (* x x)))
52.0ms
(+ (* 2.0 x) (* x x))

simplify1.1s

Counts
31 → 31
Iterations

Useful iterations: 3 (309.0ms)

IterNodesCost
056440
1189338
2716304
32266302
done5000302

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ 2.0 x))
0.1b
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
1.1b
(- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
27.9b
(/ (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
29×add-sqr-sqrt
20×add-exp-log add-cbrt-cube
19×*-un-lft-identity
18×times-frac pow-prod-down
17×add-cube-cbrt
16×associate-*r/
15×difference-of-squares
9×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
7×flip3-+ flip-+
6×associate-/l* add-log-exp
5×unpow-prod-down associate-*r* sqr-pow
4×frac-times associate-*l* pow-sqr pow-prod-up associate--r+
3×flip3-- associate-/r* flip--
2×pow-plus associate-*l/ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv pow2 sub-neg frac-2neg diff-log div-sub swap-sqr div-exp clear-num div-inv distribute-lft-out unswap-sqr
Counts
4 → 132
Calls
4 calls:
10.0ms
(* x (+ 2.0 x))
24.0ms
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
7.0ms
(- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
20.0ms
(/ (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))))

series251.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* x (+ 2.0 x))
34.0ms
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
79.0ms
(- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
95.0ms
(/ (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))))

simplify884.0ms

Counts
144 → 144
Iterations

Useful iterations: 2 (349.0ms)

IterNodesCost
02133131
15922864
222852636
done50002636

prune290.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample561.0ms

Algorithm
intervals
Results
338.0ms14101×body80valid