Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	258×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	2560	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	83
1	8	83
2	15	83
3	21	83
4	26	83
done	26	83

prune3.0ms

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	(* 500.0 (- x y))

rewrite26.0ms

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:

24.0ms

(* 500.0 (- x y))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* 500.0 (- x y))

simplify3.3s

Counts

29 → 29

Iterations

Useful iterations: 3 (441.0ms)

Iter	Nodes	Cost
0	52	4430
1	121	3897
2	317	3857
3	1093	3817
done	5003	3817

prune115.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 500.0 x) (* 500.0 (- y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

6.0ms

(+ (* 500.0 x) (* 500.0 (- y)))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(+ (* 500.0 x) (* 500.0 (- y)))

simplify2.5s

Counts

17 → 17

Iterations

Useful iterations: 3 (570.0ms)

Iter	Nodes	Cost
0	31	3708
1	107	2497
2	413	2457
3	1437	2377
done	5006	2377

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 500.0) (- x y))
0.4b	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

rewrite68.0ms

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:

30.0ms	(* (sqrt 500.0) (- x y))
35.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series210.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(* (sqrt 500.0) (- x y))
122.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify2.9s

Counts

67 → 67

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	86	15424
1	228	13657
2	728	11057
3	3027	10657
done	5000	10657

prune195.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (sqrt (sqrt 500.0)) (- x y))
0.3b	(* (sqrt (sqrt 500.0)) (* (sqrt (sqrt 500.0)) (- x y)))
0.4b	(* (sqrt 500.0) (* (sqrt (sqrt 500.0)) (* (sqrt (sqrt 500.0)) (- x y))))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

22.0ms	(* (sqrt (sqrt 500.0)) (- x y))
64.0ms	(* (sqrt (sqrt 500.0)) (* (sqrt (sqrt 500.0)) (- x y)))
141.0ms	(* (sqrt 500.0) (* (sqrt (sqrt 500.0)) (* (sqrt (sqrt 500.0)) (- x y))))

series319.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(* (sqrt (sqrt 500.0)) (- x y))
84.0ms	(* (sqrt (sqrt 500.0)) (* (sqrt (sqrt 500.0)) (- x y)))
132.0ms	(* (sqrt 500.0) (* (sqrt (sqrt 500.0)) (* (sqrt (sqrt 500.0)) (- x y))))

simplify2.6s

Counts

119 → 119

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	134	36315
1	383	33737
2	1251	26177
done	5001	21777

prune377.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	163
1	12	163
2	16	163
3	17	163
done	17	163

end0.0ms

sample503.0ms

Algorithm

intervals

Results

232.0ms	8035×	body	80	valid
1.0ms	9×	body	2560	valid
1.0ms	9×	body	640	valid
1.0ms	6×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	5×	body	160	valid