Details

sample27.0ms

Algorithm

intervals

Results

14.0ms	254×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify39.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	32
5	32
4	30
3	23
2	15
1	8
0	5

prune5.0ms

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	(* 200.0 (- x y))

rewrite20.0ms

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-cbrt-cube` `associate-l` `add-exp-log`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 47

Calls

1 calls:

19.0ms

(* 200.0 (- x y))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* 200.0 (- x y))

simplify1.5s

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
3	1334
2	437
1	223
0	103

prune77.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))
0.3b	(* (sqrt 200.0) (- x y))

rewrite58.0ms

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-cbrt-cube` `add-exp-log`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 121

Calls

2 calls:

33.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))
23.0ms	(* (sqrt 200.0) (- x y))

series225.0ms

Counts

2 → 6

Calls

2 calls:

141.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))
84.0ms	(* (sqrt 200.0) (- x y))

simplify3.2s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
3	3422
2	1213
1	533
0	188

prune179.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (sqrt 200.0) (- x y))
0.3b	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))
0.3b	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

187×	`distribute-rgt-in` `distribute-lft-in`
126×	`prod-diff`
99×	`add-sqr-sqrt`
95×	`*-un-lft-identity`
93×	`add-cube-cbrt`
31×	`pow1` `add-exp-log`
19×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`associate-l`
14×	`sub-neg`
12×	`associate-*r/`
7×	`associate-r` `sqrt-prod`
6×	`cbrt-prod`
3×	`expm1-log1p-u` `flip3--` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

3 → 245

Calls

3 calls:

20.0ms	(* (sqrt 200.0) (- x y))
145.0ms	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))
41.0ms	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))

series780.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(* (sqrt 200.0) (- x y))
144.0ms	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))
537.0ms	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))

simplify2.4s

Counts

254 → 254

Iterations

Iter	Nodes
done	5000
2	2402
1	1071
0	346

prune408.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y)))
0.2b	(* (sqrt 200.0) (- y))
0.3b	(* (sqrt 200.0) (+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y))))
0.3b	(* (sqrt 200.0) x)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
18×	`associate-l`
17×	`associate-r`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`sqrt-prod`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-log-exp` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `neg-mul-1` `sum-log` `fma-def` `distribute-lft-in` `unsub-neg`

Counts

4 → 106

Calls

4 calls:

16.0ms	(+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y)))
24.0ms	(* (sqrt 200.0) (- y))
25.0ms	(* (sqrt 200.0) (+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y))))
11.0ms	(* (sqrt 200.0) x)

series477.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y)))
103.0ms	(* (sqrt 200.0) (- y))
180.0ms	(* (sqrt 200.0) (+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y))))
53.0ms	(* (sqrt 200.0) x)

simplify1.9s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	1175
1	362
0	133

prune506.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample676.0ms

Algorithm

intervals

Results

402.0ms	7908×	body	80	valid
15.0ms	20×	body	2560	valid
12.0ms	60×	body	1280	valid
7.0ms	42×	body	640	valid
3.0ms	26×	body	320	valid
1.0ms	7×	body	160	valid