Details

sample14.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

simplify9.0ms

Counts

1 → 1

Iterations

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

prune2.0ms

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))

rewrite14.0ms

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` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

14.0ms

(* 500.0 (- x y))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* 500.0 (- x y))

simplify1.4s

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
3	1666
2	387
1	126
0	53

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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-+` `insert-posit16` `distribute-lft-out`

Counts

1 → 15

Calls

1 calls:

10.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify1.8s

Counts

18 → 18

Iterations

Iter	Nodes
done	5001
3	3063
2	478
1	108
0	32

prune81.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x y))
0.0b	(sqrt (- x y))
0.1b	(* 500.0 (sqrt (- x y)))
0.2b	(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-r`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

9.0ms	(sqrt (- x y))
9.0ms	(sqrt (- x y))
30.0ms	(* 500.0 (sqrt (- x y)))
54.0ms	(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(sqrt (- x y))
93.0ms	(sqrt (- x y))
116.0ms	(* 500.0 (sqrt (- x y)))
41.0ms	(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

simplify1.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1392
1	298
0	122

prune315.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 500.0 (- (* x x) (* y y)))
3.7b	(- (* x x) (* y y))
30.3b	(/ (* 500.0 (- (* x x) (* y y))) (+ x y))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `times-frac` `associate-r` `associate-r/`
3×	`sub-neg` `flip3--` `associate-l` `insert-posit16` `flip--`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `difference-of-squares` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

24.0ms	(* 500.0 (- (* x x) (* y y)))
15.0ms	(- (* x x) (* y y))
45.0ms	(/ (* 500.0 (- (* x x) (* y y))) (+ x y))

series215.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* 500.0 (- (* x x) (* y y)))
44.0ms	(- (* x x) (* y y))
94.0ms	(/ (* 500.0 (- (* x x) (* y y))) (+ x y))

simplify1.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	2133
1	350
0	111

prune301.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes169.0ms

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

sample515.0ms

Algorithm

intervals

Results

351.0ms	8036×	body	80	valid
3.0ms	16×	body	1280	valid
2.0ms	7×	body	2560	valid
1.0ms	7×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	1×	body	160	valid