Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	254×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify23.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite35.0ms

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:

34.0ms

(* 200.0 (- x y))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* 200.0 (- x y))

simplify1.1s

Counts

29 → 29

Iterations

Useful iterations: 3 (441.0ms)

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

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

Counts

1 → 13

Calls

1 calls:

8.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify3.0s

Counts

16 → 16

Iterations

Useful iterations: 3 (693.0ms)

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

prune64.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (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:

34.0ms	(* (sqrt 200.0) (- x y))
64.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series238.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(* (sqrt 200.0) (- x y))
143.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify753.0ms

Counts

67 → 67

Iterations

Useful iterations: done (750.0ms)

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

prune142.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (sqrt 200.0)) (- (* y (sqrt 200.0))))
0.2b	(* y (sqrt 200.0))
0.3b	(* x (sqrt 200.0))
0.3b	(* (sqrt 200.0) (+ (* x (sqrt 200.0)) (- (* y (sqrt 200.0)))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
16×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-l` `sqrt-prod`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
2×	`distribute-lft-neg-in` `distribute-rgt-out` `flip3-+` `associate-*r/` `sum-log` `flip-+`
1×	`+-commutative` `neg-sub0` `distribute-rgt-in` `associate-+r-` `distribute-lft-in` `unsub-neg` `neg-log`

Counts

4 → 87

Calls

4 calls:

18.0ms	(+ (* x (sqrt 200.0)) (- (* y (sqrt 200.0))))
17.0ms	(* y (sqrt 200.0))
17.0ms	(* x (sqrt 200.0))
52.0ms	(* (sqrt 200.0) (+ (* x (sqrt 200.0)) (- (* y (sqrt 200.0)))))

series292.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (* x (sqrt 200.0)) (- (* y (sqrt 200.0))))
41.0ms	(* y (sqrt 200.0))
44.0ms	(* x (sqrt 200.0))
125.0ms	(* (sqrt 200.0) (+ (* x (sqrt 200.0)) (- (* y (sqrt 200.0)))))

simplify1.2s

Counts

99 → 99

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	119	1075
1	341	956
2	1923	718
done	5000	665

prune353.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

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

sample496.0ms

Algorithm

intervals

Results

170.0ms	7912×	body	80	valid
5.0ms	54×	body	1280	valid
3.0ms	27×	body	2560	valid
3.0ms	40×	body	640	valid
1.0ms	25×	body	320	valid
0.0ms	10×	body	160	valid