Details

sample12.0ms

Algorithm

intervals

Results

3.0ms	253×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite25.0ms

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:

23.0ms

(* 200.0 (- x y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* 200.0 (- x y))

simplify1.2s

Counts

49 → 49

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	102	721
1	192	548
2	415	438
3	1732	396
done	5001	342

prune57.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

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))

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-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:

47.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))
26.0ms	(* (sqrt 200.0) (- x y))

series176.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))
71.0ms	(* (sqrt 200.0) (- x y))

simplify3.0s

Counts

125 → 125

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	186	2575
1	338	1603
2	855	1264
3	3373	1138
done	5000	848

prune121.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite231.0ms

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

Counts

3 → 242

Calls

3 calls:

140.0ms	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))
26.0ms	(* (sqrt 200.0) (- x y))
50.0ms	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))

series554.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))
69.0ms	(* (sqrt 200.0) (- x y))
376.0ms	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))

simplify1.5s

Counts

251 → 251

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	343	7907
1	894	6653
2	2016	4588
done	5000	2968

prune218.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (cbrt 200.0) (- x y))
0.4b	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
16×	`pow1` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 120

Calls

2 calls:

24.0ms	(* (cbrt 200.0) (- x y))
58.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* (cbrt 200.0) (- x y))
83.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

simplify3.3s

Counts

126 → 126

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	192	2929
1	482	2415
2	1213	1605
3	4897	1131
done	5000	1131

prune128.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample290.0ms

Algorithm

intervals

Results

108.0ms	7905×	body	80	valid
3.0ms	54×	body	1280	valid
2.0ms	41×	body	640	valid
1.0ms	21×	body	2560	valid
1.0ms	20×	body	320	valid
0.0ms	6×	body	160	valid