Details

Time bar (total: 10.7s)

sample41.0ms

Algorithm
intervals
Results
23.0ms484×body80valid

simplify3.9s

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
18.0ms
(+ (* 3 (* y y)) (* x x))
23.0ms
(* 3 (* y y))

series102.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ (* 3 (* y y)) (* x x))
45.0ms
(* 3 (* y y))

simplify1.1s

Counts
36 → 36

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:
18.0ms
(+ (* (* 3 y) y) (* x x))
24.0ms
(* (* 3 y) y)

series70.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* (* 3 y) y) (* x x))
32.0ms
(* (* 3 y) y)

simplify1.5s

Counts
35 → 35

prune82.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* y y))
0.3b
(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
21.1b
(sqrt (* 3 (* y y)))
21.1b
(sqrt (* 3 (* y y)))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
12×add-sqr-sqrt
11×add-exp-log pow-sqr add-cbrt-cube
add-cube-cbrt *-un-lft-identity
associate-*l*
sqrt-prod
associate-*r*
swap-sqr prod-exp cbrt-unprod add-log-exp
*-commutative unswap-sqr
pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 109
Calls
4 calls:
33.0ms
(* 3 (* y y))
137.0ms
(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
23.0ms
(sqrt (* 3 (* y y)))
24.0ms
(sqrt (* 3 (* y y)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 3 (* y y))
80.0ms
(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
54.0ms
(sqrt (* 3 (* y y)))
66.0ms
(sqrt (* 3 (* y y)))

simplify546.0ms

Counts
121 → 121

prune189.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity sqrt-prod
add-log-exp
associate-*r* *-commutative unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 58
Calls
3 calls:
85.0ms
(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
25.0ms
(* (sqrt 3) (* y y))
58.0ms
(* (sqrt 3) (* (sqrt 3) (* y y)))

series236.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
50.0ms
(* (sqrt 3) (* y y))
100.0ms
(* (sqrt 3) (* (sqrt 3) (* y y)))

simplify573.0ms

Counts
67 → 67

prune143.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes64.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify17.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
736.0ms14304×body80valid