Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	257×	body	80	valid
0.0ms	3×	body	1280	valid

simplify9.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite22.0ms

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:

22.0ms

(* 500.0 (- x y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* 500.0 (- x y))

simplify1.3s

Counts

29 → 29

Iterations

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

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify1.9s

Counts

17 → 17

Iterations

Iter	Nodes
done	5001
3	2876
2	481
1	107
0	31

prune65.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* x x) (+ (* y y) (* x y)))
2.3b	(+ (* y y) (* x y))
4.2b	(- (* x (* x x)) (* y (* y y)))
42.1b	(/ (* 500.0 (- (* x (* x x)) (* y (* y y)))) (+ (* x x) (+ (* y y) (* x y))))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `sum-log`
3×	`associate-/r*` `flip3-+` `times-frac` `flip-+`
2×	`cbrt-undiv` `+-commutative` `flip3--` `cube-unmult` `div-exp` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`difference-cubes` `associate-+r+` `clear-num` `sub-neg` `frac-2neg` `distribute-rgt-out` `diff-log` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 63

Calls

4 calls:

28.0ms	(+ (* x x) (+ (* y y) (* x y)))
12.0ms	(+ (* y y) (* x y))
46.0ms	(- (* x (* x x)) (* y (* y y)))
98.0ms	(/ (* 500.0 (- (* x (* x x)) (* y (* y y)))) (+ (* x x) (+ (* y y) (* x y))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x x) (+ (* y y) (* x y)))
49.0ms	(+ (* y y) (* x y))
68.0ms	(- (* x (* x x)) (* y (* y y)))
135.0ms	(/ (* 500.0 (- (* x (* x x)) (* y (* y y)))) (+ (* x x) (+ (* y y) (* x y))))

simplify2.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	3232
1	458
0	127

prune356.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes151.0ms

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

sample479.0ms

Algorithm

intervals

Results

209.0ms	8037×	body	80	valid
1.0ms	12×	body	1280	valid
1.0ms	12×	body	640	valid
1.0ms	5×	body	2560	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid