Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	249×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite19.0ms

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` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

18.0ms

(* 200.0 (- x y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* 200.0 (- x y))

simplify823.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	836
1	235
0	102

prune135.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

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` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 119

Calls

2 calls:

32.0ms	(* (sqrt 200.0) (- x y))
39.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series199.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (sqrt 200.0) (- x y))
132.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify2.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	3384
1	535
0	186

prune229.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sqrt 200.0) (- x y))
0.3b	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))
0.3b	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))

rewrite226.0ms

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` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

3 → 242

Calls

3 calls:

32.0ms	(* (sqrt 200.0) (- x y))
45.0ms	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))
126.0ms	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))

series669.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(* (sqrt 200.0) (- x y))
425.0ms	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))
148.0ms	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))

simplify1.1s

Counts

251 → 251

Iterations

Iter	Nodes
done	5000
1	1144
0	343

prune460.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b

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

0.3b

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

0.3b

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

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 246

Calls

3 calls:

30.0ms

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

75.0ms

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

187.0ms

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

series581.0ms

Counts

3 → 9

Calls

3 calls:

326.0ms

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

83.0ms

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

172.0ms

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

simplify1.2s

Counts

255 → 255

Iterations

Iter	Nodes
done	5000
1	1070
0	345

prune854.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample548.0ms

Algorithm

intervals

Results

244.0ms	7919×	body	80	valid
6.0ms	59×	body	1280	valid
3.0ms	38×	body	640	valid
3.0ms	22×	body	2560	valid
1.0ms	16×	body	320	valid
0.0ms	9×	body	160	valid