Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

329×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
2	20
1	14
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize9.0ms

Local error

Found 1 expressions with local error:

5.9b	(* x (+ 1.0 (* y y)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
4×	`associate-l`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `associate-*r/` `distribute-lft-out`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

67.0ms

(* x (+ 1.0 (* y y)))

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(* x (+ 1.0 (* y y)))

simplify2.5s

Counts

30 → 30

Iterations

Iter	Nodes
done	5120
3	2909
2	569
1	150
0	51

prune116.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.9b

localize8.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (+ 1.0 (* y y)) x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`associate-l`
5×	`add-sqr-sqrt`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/` `distribute-lft-out`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

54.0ms

(* (+ 1.0 (* y y)) x)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (+ 1.0 (* y y)) x)

simplify1.8s

Counts

26 → 26

Iterations

Iter	Nodes
done	5002
3	1667
2	392
1	120
0	48

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (+ 1.0 (* y y))) x)
0.1b	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (* y y))) x))
5.9b	(sqrt (+ 1.0 (* y y)))
5.9b	(sqrt (+ 1.0 (* y y)))

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
32×	`sqrt-prod`
29×	`associate-l`
24×	`associate-r`
18×	`sqrt-div`
15×	`add-cube-cbrt`
14×	`unswap-sqr`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-*l/` `distribute-lft-out`
9×	`flip3-+` `flip-+`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`

Counts

4 → 118

Calls

4 calls:

51.0ms	(* (sqrt (+ 1.0 (* y y))) x)
256.0ms	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (* y y))) x))
21.0ms	(sqrt (+ 1.0 (* y y)))
22.0ms	(sqrt (+ 1.0 (* y y)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (sqrt (+ 1.0 (* y y))) x)
61.0ms	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (* y y))) x))
61.0ms	(sqrt (+ 1.0 (* y y)))
55.0ms	(sqrt (+ 1.0 (* y y)))

simplify2.4s

Counts

130 → 130

Iterations

Iter	Nodes
done	5005
3	3639
2	1077
1	357
0	141

prune425.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 5.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (sqrt (+ 1.0 (* y y)))) (* (sqrt (+ 1.0 (* y y))) x))
5.9b	(sqrt (+ 1.0 (* y y)))
5.9b	(sqrt (+ 1.0 (* y y)))
5.9b	(sqrt (+ 1.0 (* y y)))

rewrite408.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-prod`
45×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
24×	`sqrt-div` `associate-l`
21×	`associate-r`
17×	`unswap-sqr`
14×	`add-cube-cbrt`
12×	`pow1`
10×	`distribute-lft-out`
9×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
8×	`associate-*l/`
4×	`frac-times` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative`

Counts

4 → 115

Calls

4 calls:

275.0ms	(* (sqrt (sqrt (+ 1.0 (* y y)))) (* (sqrt (+ 1.0 (* y y))) x))
43.0ms	(sqrt (+ 1.0 (* y y)))
50.0ms	(sqrt (+ 1.0 (* y y)))
36.0ms	(sqrt (+ 1.0 (* y y)))

series653.0ms

Counts

4 → 12

Calls

4 calls:

436.0ms	(* (sqrt (sqrt (+ 1.0 (* y y)))) (* (sqrt (+ 1.0 (* y y))) x))
72.0ms	(sqrt (+ 1.0 (* y y)))
77.0ms	(sqrt (+ 1.0 (* y y)))
69.0ms	(sqrt (+ 1.0 (* y y)))

simplify3.0s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
3	4871
2	1285
1	416
0	167

prune537.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 5.9b

regimes130.0ms

Accuracy

0% (0.1b remaining)

Error of 5.2b against oracle of 5.1b and baseline of 5.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample797.0ms

Algorithm

intervals

Results

593.0ms

10580×

body

valid