Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
5.0ms	246×	body	80	nan

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

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	(sqrt (+ x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity` `sqrt-prod`
3×	`add-sqr-sqrt`
2×	`pow1` `sqrt-div` `add-cube-cbrt`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

7.0ms

(sqrt (+ x y))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(sqrt (+ x y))

simplify1.9s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
5	4983
4	1839
3	701
2	272
1	116
0	54

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* y (* y y)) (* x (* x x)))
17.9b	(/ (sqrt (+ (* y (* y y)) (* x (* x x)))) (sqrt (+ (* x x) (- (* y y) (* x y)))))
21.7b	(sqrt (+ (* y (* y y)) (* x (* x x))))
27.9b	(sqrt (+ (* x x) (- (* y y) (* x y))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

59×	`sqrt-prod`
42×	`times-frac`
38×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `add-cube-cbrt`
18×	`cube-unmult`
9×	`sum-cubes`
8×	`sqrt-div`
7×	`associate-/l*`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sqrt-undiv` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 119

Calls

4 calls:

23.0ms	(+ (* y (* y y)) (* x (* x x)))
84.0ms	(/ (sqrt (+ (* y (* y y)) (* x (* x x)))) (sqrt (+ (* x x) (- (* y y) (* x y)))))
33.0ms	(sqrt (+ (* y (* y y)) (* x (* x x))))
25.0ms	(sqrt (+ (* x x) (- (* y y) (* x y))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* y (* y y)) (* x (* x x)))
95.0ms	(/ (sqrt (+ (* y (* y y)) (* x (* x x)))) (sqrt (+ (* x x) (- (* y y) (* x y)))))
94.0ms	(sqrt (+ (* y (* y y)) (* x (* x x))))
101.0ms	(sqrt (+ (* x x) (- (* y y) (* x y))))

simplify1.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	1299
1	435
0	204

prune619.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (* x x) (* y x))
27.9b	(sqrt (+ (* y y) (- (* x x) (* y x))))
27.9b	(sqrt (+ (* x x) (- (* y y) (* x y))))
27.9b	(sqrt (+ (* x x) (- (* y y) (* x y))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-div` `add-log-exp`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--`

Counts

4 → 62

Calls

4 calls:

11.0ms	(- (* x x) (* y x))
30.0ms	(sqrt (+ (* y y) (- (* x x) (* y x))))
33.0ms	(sqrt (+ (* x x) (- (* y y) (* x y))))
21.0ms	(sqrt (+ (* x x) (- (* y y) (* x y))))

series284.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* x x) (* y x))
89.0ms	(sqrt (+ (* y y) (- (* x x) (* y x))))
71.0ms	(sqrt (+ (* x x) (- (* y y) (* x y))))
72.0ms	(sqrt (+ (* x x) (- (* y y) (* x y))))

simplify2.5s

Counts

74 → 74

Iterations

Iter	Nodes
done	5047
3	3714
2	704
1	232
0	98

prune477.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes117.0ms

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	5
1	5
0	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

519.0ms	8000×	body	80	valid
260.0ms	8200×	body	80	nan