Details

Time bar (total: 5.7s)

sample59.0ms

Algorithm
intervals
Results
31.0ms460×body80valid

simplify22.0ms

Counts
1 → 1
Iterations
IterNodes
done47
347
237
117
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* associate-*l*
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 → 35
Calls
2 calls:
14.0ms
(* x (+ x (* y 2.0)))
14.0ms
(+ (* y y) (* x (+ x (* y 2.0))))

series106.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* x (+ x (* y 2.0)))
32.0ms
(+ (* y y) (* x (+ x (* y 2.0))))

simplify776.0ms

Counts
41 → 41
Iterations
IterNodes
done5002
21424
1247
071

prune167.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (+ (* 2.0 y) x) x) (* y y))
0.0b
(+ (* (+ (* 2.0 y) x) x) (* y y))
4.0b
(sqrt (+ (* (+ (* 2.0 y) x) x) (* y y)))
4.0b
(sqrt (+ (* (+ (* 2.0 y) x) x) (* y y)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
4×flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+
2×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 52
Calls
4 calls:
12.0ms
(+ (* (+ (* 2.0 y) x) x) (* y y))
22.0ms
(+ (* (+ (* 2.0 y) x) x) (* y y))
29.0ms
(sqrt (+ (* (+ (* 2.0 y) x) x) (* y y)))
34.0ms
(sqrt (+ (* (+ (* 2.0 y) x) x) (* y y)))

series232.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* (+ (* 2.0 y) x) x) (* y y))
31.0ms
(+ (* (+ (* 2.0 y) x) x) (* y y))
101.0ms
(sqrt (+ (* (+ (* 2.0 y) x) x) (* y y)))
73.0ms
(sqrt (+ (* (+ (* 2.0 y) x) x) (* y y)))

simplify436.0ms

Counts
64 → 64
Iterations
IterNodes
done5000
2723
1162
058

prune399.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (* (+ (* 2.0 y) x) x) (+ (* 2.0 y) x)) x)
0.2b
(* (* (+ (* 2.0 y) x) x) (+ (* 2.0 y) x))
2.4b
(- (pow y 4) (* (* (* (+ (* 2.0 y) x) x) (+ (* 2.0 y) x)) x))
32.1b
(/ (- (pow y 4) (* (* (* (+ (* 2.0 y) x) x) (+ (* 2.0 y) x)) x)) (- (* y y) (* (+ (* 2.0 y) x) x)))

rewrite356.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*l/
20×add-cbrt-cube add-exp-log
18×pow1
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×flip3-+ flip-+
9×times-frac pow-prod-down prod-exp cbrt-unprod
8×frac-times
6×associate-*r* add-log-exp
4×associate-*r/
3×associate-/r* flip3-- flip-- associate-/l*
2×associate-*l* associate-/r/ *-commutative associate-/l/
1×distribute-rgt-in cbrt-undiv clear-num sub-neg frac-2neg distribute-lft-in diff-log div-sub div-exp div-inv
Counts
4 → 101
Calls
4 calls:
197.0ms
(* (* (* (+ (* 2.0 y) x) x) (+ (* 2.0 y) x)) x)
73.0ms
(* (* (+ (* 2.0 y) x) x) (+ (* 2.0 y) x))
19.0ms
(- (pow y 4) (* (* (* (+ (* 2.0 y) x) x) (+ (* 2.0 y) x)) x))
61.0ms
(/ (- (pow y 4) (* (* (* (+ (* 2.0 y) x) x) (+ (* 2.0 y) x)) x)) (- (* y y) (* (+ (* 2.0 y) x) x)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* (* (+ (* 2.0 y) x) x) (+ (* 2.0 y) x)) x)
38.0ms
(* (* (+ (* 2.0 y) x) x) (+ (* 2.0 y) x))
108.0ms
(- (pow y 4) (* (* (* (+ (* 2.0 y) x) x) (+ (* 2.0 y) x)) x))
104.0ms
(/ (- (pow y 4) (* (* (* (+ (* 2.0 y) x) x) (+ (* 2.0 y) x)) x)) (- (* y y) (* (+ (* 2.0 y) x) x)))

simplify536.0ms

Counts
113 → 113
Iterations
IterNodes
done5000
1634
0199

prune582.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes64.0ms

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
done12
112
08

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s14371×body80valid