Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	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

simplify14.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite24.0ms

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

Counts

1 → 26

Calls

1 calls:

23.0ms

(* 200.0 (- x y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* 200.0 (- x y))

simplify1.9s

Counts

29 → 29

Iterations

Iter	Nodes
done	5001
3	1660
2	385
1	125
0	52

prune109.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
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:

25.0ms	(* (sqrt 200.0) (- x y))
54.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series229.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (sqrt 200.0) (- x y))
154.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify1.1s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1172
1	231
0	86

prune253.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

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))))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

34×	`distribute-rgt-in` `distribute-lft-in`
31×	`pow1` `add-exp-log`
19×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`associate-l`
15×	`add-sqr-sqrt`
14×	`sub-neg`
12×	`associate-*r/`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
7×	`associate-r` `sqrt-prod`
6×	`cbrt-prod`
3×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

3 → 110

Calls

3 calls:

20.0ms	(* (sqrt 200.0) (- x y))
36.0ms	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))
175.0ms	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))

series653.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* (sqrt 200.0) (- x y))
427.0ms	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))
143.0ms	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))

simplify1.7s

Counts

119 → 119

Iterations

Iter	Nodes
done	5002
2	1887
1	430
0	145

prune482.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize24.0ms

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))))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log`
34×	`distribute-rgt-in` `distribute-lft-in`
22×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
16×	`associate-l`
14×	`sub-neg`
12×	`associate-*r/`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`cbrt-prod`
7×	`associate-r` `sqrt-prod`
3×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

3 → 114

Calls

3 calls:

38.0ms

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

65.0ms

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

185.0ms

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

series562.0ms

Counts

3 → 9

Calls

3 calls:

341.0ms

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

94.0ms

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

127.0ms

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

simplify2.2s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	2728
1	428
0	147

prune401.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes187.0ms

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

sample539.0ms

Algorithm

intervals

Results

239.0ms	7919×	body	80	valid
6.0ms	59×	body	1280	valid
4.0ms	22×	body	2560	valid
3.0ms	38×	body	640	valid
1.0ms	16×	body	320	valid
0.0ms	9×	body	160	valid