Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	251×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	640	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

rewrite28.0ms

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:

27.0ms

(* 200.0 (- x y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* 200.0 (- x y))

simplify875.0ms

Counts

29 → 29

Iterations

Useful iterations: 3 (284.0ms)

Iter	Nodes	Cost
0	52	217
1	125	206
2	386	188
3	1697	186
done	5000	186

prune62.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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-+`

Counts

1 → 13

Calls

1 calls:

10.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify3.1s

Counts

16 → 16

Iterations

Useful iterations: 3 (634.0ms)

Iter	Nodes	Cost
0	31	184
1	103	136
2	549	120
3	3937	115
done	5000	115

prune51.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite100.0ms

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:

40.0ms	(* (sqrt 200.0) (- x y))
57.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series182.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (sqrt 200.0) (- x y))
108.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify767.0ms

Counts

67 → 67

Iterations

Useful iterations: done (765.0ms)

Iter	Nodes	Cost
0	86	741
1	231	695
2	1172	507
done	5001	482

prune122.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

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))))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

34×	`distribute-rgt-in` `distribute-lft-in`
31×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `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:

37.0ms	(* (sqrt 200.0) (- x y))
55.0ms	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))
171.0ms	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))

series717.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(* (sqrt 200.0) (- x y))
470.0ms	(* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y)))
140.0ms	(* (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0))) (* (cbrt (sqrt 200.0)) (* (sqrt 200.0) (- x y))))

simplify1.1s

Counts

119 → 119

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	145	2121
1	430	2039
2	1915	1471
done	5000	1029

prune272.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	16	8
3	17	8
done	17	8

end0.0ms

sample562.0ms

Algorithm

intervals

Results

224.0ms	7884×	body	80	valid
7.0ms	67×	body	1280	valid
4.0ms	31×	body	2560	valid
4.0ms	46×	body	640	valid
1.0ms	18×	body	320	valid
0.0ms	9×	body	160	valid