Details

sample11.0ms

Algorithm

intervals

Results

3.0ms	250×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

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

Counts

1 → 26

Calls

1 calls:

20.0ms

(* 200.0 (- x y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* 200.0 (- x y))

simplify55.0ms

Counts

29 → 29

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	98
1	460	88
2	1881	88
3	5001	88
done	5001	88

prune39.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 200.0 x) (* 200.0 (- y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

8.0ms

(+ (* 200.0 x) (* 200.0 (- y)))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(+ (* 200.0 x) (* 200.0 (- y)))

simplify62.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	104	90
1	435	69
2	1927	66
3	5002	65
done	5002	65

prune30.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 61

Calls

2 calls:

26.0ms	(* (sqrt 200.0) (- x y))
37.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (sqrt 200.0) (- x y))
96.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify105.0ms

Counts

67 → 67

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	193	327
1	854	268
2	4407	268
3	5001	268
done	5001	268

prune84.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
18×	`associate-l`
17×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp` `unswap-sqr`
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×	`+-commutative` `distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `unsub-neg` `sum-log`

Counts

4 → 93

Calls

4 calls:

10.0ms	(+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y)))
13.0ms	(* (sqrt 200.0) (- y))
9.0ms	(* (sqrt 200.0) x)
33.0ms	(* (sqrt 200.0) (+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y)))
52.0ms	(* (sqrt 200.0) (- y))
39.0ms	(* (sqrt 200.0) x)
142.0ms	(* (sqrt 200.0) (+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y))))

simplify53.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	315	607
1	1590	506
2	5001	483
done	5001	483

prune178.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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	12	4
1	16	4
2	17	4
3	17	4
done	17	4

end0.0ms

sample293.0ms

Algorithm

intervals

Results

112.0ms	7903×	body	80	valid
3.0ms	48×	body	1280	valid
2.0ms	43×	body	640	valid
1.0ms	22×	body	2560	valid
1.0ms	24×	body	320	valid
0.0ms	13×	body	160	valid