Details

Time bar (total: 3.1s)

sample40.0ms

Algorithm
intervals
Results
20.0ms472×body80valid

simplify4.0ms

Counts
1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (* y y)) (* x x))
0.2b
(* 3 (* y y))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
26.0ms
(+ (* 3 (* y y)) (* x x))
27.0ms
(* 3 (* y y))

series92.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (* 3 (* y y)) (* x x))
37.0ms
(* 3 (* y y))

simplify52.0ms

Counts
36 → 36

prune68.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* 3 (* y y)))
0.2b
(* 3 (* y y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
10.0ms
(+ (* x x) (* 3 (* y y)))
22.0ms
(* 3 (* y y))

series76.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (* x x) (* 3 (* y y)))
29.0ms
(* 3 (* y y))

simplify61.0ms

Counts
36 → 36

prune101.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* 3 y) y) (* x x))
0.2b
(* (* 3 y) y)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
27.0ms
(+ (* (* 3 y) y) (* x x))
27.0ms
(* (* 3 y) y)

series92.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (* (* 3 y) y) (* x x))
42.0ms
(* (* 3 y) y)

simplify78.0ms

Counts
35 → 35

prune84.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b
(* (cbrt 3) (* y y))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
add-sqr-sqrt associate-*l*
add-cube-cbrt *-un-lft-identity add-log-exp
cbrt-prod
associate-*r* *-commutative unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 62
Calls
3 calls:
17.0ms
(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
94.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
26.0ms
(* (cbrt 3) (* y y))

series303.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
138.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
75.0ms
(* (cbrt 3) (* y y))

simplify34.0ms

Counts
71 → 71

prune196.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
825.0ms14236×body80valid