Details

sample17.0ms

Algorithm

intervals

Results

9.0ms	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

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
4	26
3	21
2	15
1	8
0	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

19.0ms

(* 200.0 (- x y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* 200.0 (- x y))

simplify3.2s

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
4	4794
3	1078
2	316
1	122
0	53

prune94.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
28×	`associate-r`
18×	`associate-l`
16×	`sqrt-prod`
15×	`*-un-lft-identity`
14×	`unswap-sqr`
11×	`add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`sub-neg` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative`
2×	`flip3--` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 86

Calls

2 calls:

152.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))
33.0ms	(* (sqrt 200.0) (- x y))

series216.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))
104.0ms	(* (sqrt 200.0) (- x y))

simplify2.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5007
3	4017
2	945
1	278
0	105

prune238.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

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)))

rewrite707.0ms

Algorithm

rewrite-expression-head

Rules

837×	`add-sqr-sqrt`
560×	`unswap-sqr`
366×	`cbrt-prod`
252×	`sqrt-prod`
101×	`associate-r`
88×	`associate-l`
83×	`add-cbrt-cube`
82×	`cbrt-unprod`
61×	`swap-sqr`
40×	`*-un-lft-identity`
34×	`distribute-rgt-in` `distribute-lft-in` `add-cube-cbrt`
31×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp`
17×	`*-commutative`
14×	`sub-neg`
12×	`associate-*r/`
3×	`flip3--` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

3 → 412

Calls

3 calls:

31.0ms	(* (sqrt 200.0) (- x y))
507.0ms	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))
143.0ms	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))

series618.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* (sqrt 200.0) (- x y))
131.0ms	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))
404.0ms	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))

simplify3.3s

Counts

421 → 421

Iterations

Iter	Nodes
done	5002
2	4263
1	1036
0	281

prune906.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite443.0ms

Algorithm

rewrite-expression-head

Rules

85×	`associate-r`
63×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
36×	`sqrt-prod`
33×	`associate-l`
30×	`distribute-rgt-out`
23×	`add-cube-cbrt`
14×	`distribute-lft-out`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`distribute-rgt-neg-in` `*-commutative`
6×	`add-log-exp` `unswap-sqr`
4×	`insert-posit16`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `+-commutative` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`neg-mul-1` `sum-log` `unsub-neg`

Counts

4 → 141

Calls

4 calls:

87.0ms	(+ (* x (sqrt 200.0)) (* (- y) (sqrt 200.0)))
23.0ms	(* (- y) (sqrt 200.0))
317.0ms	(* (sqrt 200.0) (+ (* x (sqrt 200.0)) (* (- y) (sqrt 200.0))))
10.0ms	(* x (sqrt 200.0))

series408.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (* x (sqrt 200.0)) (* (- y) (sqrt 200.0)))
63.0ms	(* (- y) (sqrt 200.0))
181.0ms	(* (sqrt 200.0) (+ (* x (sqrt 200.0)) (* (- y) (sqrt 200.0))))
64.0ms	(* x (sqrt 200.0))

simplify1.6s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	1452
1	393
0	141

prune490.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes121.0ms

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

sample491.0ms

Algorithm

intervals

Results

332.0ms	7908×	body	80	valid
10.0ms	60×	body	1280	valid
5.0ms	42×	body	640	valid
4.0ms	20×	body	2560	valid
3.0ms	26×	body	320	valid
0.0ms	7×	body	160	valid