Details

Time bar (total: 3.8s)

sample50.0ms

Algorithm
intervals
Results
25.0ms462×body80valid

simplify5.0ms

Counts
1 → 1

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

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:
35.0ms
(+ (* 3 (* y y)) (* x x))
35.0ms
(* 3 (* y y))

series122.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(+ (* 3 (* y y)) (* x x))
56.0ms
(* 3 (* y y))

simplify80.0ms

Counts
36 → 36

prune97.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:
23.0ms
(+ (* (* 3 y) y) (* x x))
22.0ms
(* (* 3 y) y)

series113.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* (* 3 y) y) (* x x))
46.0ms
(* (* 3 y) y)

simplify95.0ms

Counts
35 → 35

prune99.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
2 → 27
Calls
2 calls:
42.0ms
(+ (+ (* x x) (* y y)) (* y y))
157.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series134.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (+ (* x x) (* y y)) (* y y))
70.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify138.0ms

Counts
33 → 33

prune87.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite253.0ms

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:
120.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
90.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
38.0ms
(* (cbrt 3) (* y y))

series255.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
101.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
54.0ms
(* (cbrt 3) (* y y))

simplify148.0ms

Counts
71 → 71

prune130.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes171.0ms

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

sample1.5s

Algorithm
intervals
Results
905.0ms14292×body80valid