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

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	23	2
3	31	2
4	33	2
5	33	2
done	33	2

prune1.0ms

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))

rewrite24.0ms

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:

22.0ms

(* 200.0 (- x y))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* 200.0 (- x y))

simplify91.0ms

Counts

49 → 49

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	190	356
1	746	220
2	3412	190
3	5002	166
done	5002	166

prune48.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

8.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify68.0ms

Counts

20 → 20

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	112	99
1	475	79
2	2202	76
3	5002	75
done	5002	75

prune36.0ms

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)))

rewrite76.0ms

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:

27.0ms	(* (sqrt 200.0) (- x y))
43.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* (sqrt 200.0) (- x y))
94.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify45.0ms

Counts

125 → 125

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	346	1139
1	1405	738
2	5002	663
done	5002	663

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

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))))

rewrite84.0ms

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`
4×	`expm1-log1p-u` `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×	`+-commutative` `distribute-rgt-in` `neg-mul-1` `fma-def` `distribute-lft-in` `unsub-neg` `sum-log`

Counts

4 → 102

Calls

4 calls:

9.0ms	(+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y)))
13.0ms	(* (sqrt 200.0) (- y))
9.0ms	(* (sqrt 200.0) x)
49.0ms	(* (sqrt 200.0) (+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y))))

series287.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y)))
50.0ms	(* (sqrt 200.0) (- y))
44.0ms	(* (sqrt 200.0) x)
120.0ms	(* (sqrt 200.0) (+ (* (sqrt 200.0) x) (* (sqrt 200.0) (- y))))

simplify60.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	330	662
1	1667	546
2	5002	530
done	5002	530

prune206.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

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

sample278.0ms

Algorithm

intervals

Results

110.0ms	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