Details

Time bar (total: 7.8s)

sample28.0ms

Algorithm
intervals
Results
9.0ms259×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2155
3215
4265
done265

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 500.0 (- x y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity associate-*r*
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 26
Calls
1 calls:
42.0ms
(* 500.0 (- x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* 500.0 (- x y))

simplify1.7s

Counts
29 → 29
Iterations

Useful iterations: 3 (596.0ms)

IterNodesCost
052217
1125206
2386188
31697186
done5000186

prune129.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (sqrt 500.0) (- x y))
0.3b
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*l*
10×distribute-rgt-in distribute-lft-in
pow1 add-exp-log *-un-lft-identity add-cbrt-cube
add-cube-cbrt sqrt-prod
sub-neg associate-*r/ associate-*r*
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp unswap-sqr
distribute-lft-out-- difference-of-squares
Counts
2 → 61
Calls
2 calls:
52.0ms
(* (sqrt 500.0) (- x y))
89.0ms
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series298.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(* (sqrt 500.0) (- x y))
180.0ms
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify1.2s

Counts
67 → 67
Iterations

Useful iterations: done (1.2s)

IterNodesCost
086741
1233680
21227498
done5000482

prune283.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (sqrt 500.0)) (* (- y) (sqrt 500.0)))
0.3b
(* (- y) (sqrt 500.0))
0.3b
(* x (sqrt 500.0))
0.3b
(* (sqrt 500.0) (+ (* x (sqrt 500.0)) (* (- y) (sqrt 500.0))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
19×associate-*l*
16×associate-*r*
15×add-cube-cbrt *-un-lft-identity
12×sqrt-prod
10×pow1 add-exp-log add-cbrt-cube
add-log-exp unswap-sqr
distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp *-commutative cbrt-unprod
distribute-rgt-out flip3-+ associate-*r/ flip-+
+-commutative distribute-rgt-in neg-mul-1 distribute-lft-in unsub-neg sum-log
Counts
4 → 93
Calls
4 calls:
18.0ms
(+ (* x (sqrt 500.0)) (* (- y) (sqrt 500.0)))
27.0ms
(* (- y) (sqrt 500.0))
20.0ms
(* x (sqrt 500.0))
67.0ms
(* (sqrt 500.0) (+ (* x (sqrt 500.0)) (* (- y) (sqrt 500.0))))

series481.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(+ (* x (sqrt 500.0)) (* (- y) (sqrt 500.0)))
84.0ms
(* (- y) (sqrt 500.0))
67.0ms
(* x (sqrt 500.0))
211.0ms
(* (sqrt 500.0) (+ (* x (sqrt 500.0)) (* (- y) (sqrt 500.0))))

simplify1.8s

Counts
105 → 105
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01221129
1361896
21971761
done5000717

prune480.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes229.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample719.0ms

Algorithm
intervals
Results
355.0ms8058×body80valid
1.0msbody1280valid
1.0msbody2560valid
1.0msbody640valid
0.0msbody320valid
0.0msbody160valid