Details

Time bar (total: 11.2s)

sample27.0ms

Algorithm
intervals
Results
9.0ms259×body80valid

simplify39.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2155
3235
4305
5325
done325

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 500.0 (- x y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×prod-diff
17×*-un-lft-identity
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 46
Calls
1 calls:
48.0ms
(* 500.0 (- x y))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* 500.0 (- x y))

simplify886.0ms

Counts
49 → 49
Iterations

Useful iterations: done (883.0ms)

IterNodesCost
0102721
1235554
2833440
done5001414

prune181.0ms

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)))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
49×add-sqr-sqrt
45×*-un-lft-identity
43×add-cube-cbrt
12×associate-*l*
9×pow1 add-exp-log add-cbrt-cube
7×sqrt-prod
6×sub-neg associate-*r/ associate-*r*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 119
Calls
2 calls:
57.0ms
(* (sqrt 500.0) (- x y))
102.0ms
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series337.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(* (sqrt 500.0) (- x y))
205.0ms
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify4.3s

Counts
125 → 125
Iterations

Useful iterations: done (4.3s)

IterNodesCost
01862575
15392046
233961280
done50001192

prune374.0ms

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

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×associate-*l*
15×add-cube-cbrt *-un-lft-identity
12×associate-*r* sqrt-prod
10×pow1 add-exp-log add-cbrt-cube
6×add-log-exp unswap-sqr
4×expm1-log1p-u log1p-expm1-u
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp *-commutative cbrt-unprod
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in neg-mul-1 fma-def distribute-lft-in unsub-neg sum-log
Counts
4 → 100
Calls
4 calls:
19.0ms
(+ (* (sqrt 500.0) x) (* (- y) (sqrt 500.0)))
35.0ms
(* (- y) (sqrt 500.0))
22.0ms
(* (sqrt 500.0) x)
66.0ms
(* (sqrt 500.0) (+ (* (sqrt 500.0) x) (* (- y) (sqrt 500.0))))

series546.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(+ (* (sqrt 500.0) x) (* (- y) (sqrt 500.0)))
91.0ms
(* (- y) (sqrt 500.0))
83.0ms
(* (sqrt 500.0) x)
236.0ms
(* (sqrt 500.0) (+ (* (sqrt 500.0) x) (* (- y) (sqrt 500.0))))

simplify2.4s

Counts
112 → 112
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01291189
13621053
21983816
done5000798

prune640.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes222.0ms

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
363.0ms8058×body80valid
1.0ms8×body1280valid
1.0ms5×body2560valid
1.0ms6×body640valid
0.0ms3×body320valid
0.0ms1×body160valid