Details

Time bar (total: 6.2s)

sample45.0ms

Algorithm
intervals
Results
24.0ms472×body80valid

simplify4.0ms

Counts
1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
23.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))
45.0ms
(* y (+ (* x 2.0) y))

series78.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))
44.0ms
(* y (+ (* x 2.0) y))

simplify111.0ms

Counts
41 → 41

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite158.0ms

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 unpow2
Counts
2 → 25
Calls
2 calls:
124.0ms
(+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))
34.0ms
(+ (* y (* x 2.0)) (pow y 2))

series67.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))
41.0ms
(+ (* y (* x 2.0)) (pow y 2))

simplify115.0ms

Counts
31 → 31

prune68.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (* x 2.0)) (pow y 2))
0.0b
(* (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))))
6.7b
(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))
6.7b
(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))

rewrite943.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod distribute-lft-out unpow2
Counts
4 → 99
Calls
4 calls:
28.0ms
(+ (* y (* x 2.0)) (pow y 2))
635.0ms
(* (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))))
132.0ms
(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))
144.0ms
(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (* y (* x 2.0)) (pow y 2))
36.0ms
(* (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))))
73.0ms
(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))
75.0ms
(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))

simplify51.0ms

Counts
111 → 111

prune336.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))) (pow (sqrt (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))) 3))
0.7b
(pow (sqrt (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))) 3)
6.7b
(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))
6.7b
(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
70×add-sqr-sqrt
32×sqrt-div
27×unpow-prod-down cube-prod
24×associate-*r* unswap-sqr
23×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
9×flip3-+ associate-*l* flip-+
8×cube-div
7×add-cbrt-cube
6×sqrt-pow1
5×pow-pow sqr-pow
4×frac-times pow1/2 add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp rem-sqrt-square unpow3 associate-*r/ associate-*l/ pow-exp
1×*-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 150
Calls
4 calls:
983.0ms
(* (sqrt (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))) (pow (sqrt (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))) 3))
165.0ms
(pow (sqrt (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))) 3)
119.0ms
(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))
119.0ms
(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (sqrt (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))) (pow (sqrt (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))) 3))
136.0ms
(pow (sqrt (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))) 3)
61.0ms
(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))
77.0ms
(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))

simplify95.0ms

Counts
162 → 162

prune503.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0.6% (0.0b remaining)

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

bsearch0.0ms

simplify95.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
840.0ms14235×body80valid