Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

339×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
2	20
1	14
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize12.0ms

Local error

Found 1 expressions with local error:

5.0b	(* x (+ 1.0 (* y y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

23.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify2.1s

Counts

26 → 26

Iterations

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

prune113.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (+ 1.0 (* y y))))
0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `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` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

19.0ms	(* x (sqrt (+ 1.0 (* y y))))
56.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
6.0ms	(sqrt (+ 1.0 (* y y)))
5.0ms	(sqrt (+ 1.0 (* y y)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* x (sqrt (+ 1.0 (* y y))))
62.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
46.0ms	(sqrt (+ 1.0 (* y y)))
60.0ms	(sqrt (+ 1.0 (* y y)))

simplify1.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
3	3329
2	985
1	313
0	125

prune451.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div`
18×	`sqrt-prod`
13×	`add-sqr-sqrt`
12×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`flip3-+` `add-cbrt-cube` `associate-r` `add-exp-log` `flip-+`
8×	`associate-*r/`
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-*l/`
1×	`associate-l` `*-commutative`

Counts

4 → 81

Calls

4 calls:

35.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))
3.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))
45.0ms	(sqrt (+ 1.0 (* y y)))
50.0ms	(sqrt (+ 1.0 (* y y)))
47.0ms	(sqrt (+ 1.0 (* y y)))

simplify1.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5006
3	3807
2	1009
1	333
0	134

prune454.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 4.9b

localize70.0ms

Local error

Found 4 expressions with local error:

5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

6.0ms	(sqrt (+ 1.0 (* y y)))
6.0ms	(sqrt (+ 1.0 (* y y)))
6.0ms	(sqrt (+ 1.0 (* y y)))
7.0ms	(sqrt (+ 1.0 (* y y)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sqrt (+ 1.0 (* y y)))
51.0ms	(sqrt (+ 1.0 (* y y)))
62.0ms	(sqrt (+ 1.0 (* y y)))
79.0ms	(sqrt (+ 1.0 (* y y)))

simplify1.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	1749
2	384
1	132
0	59

prune462.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 4.9b

regimes226.0ms

Accuracy

0% (0.1b remaining)

Error of 4.9b against oracle of 4.8b and baseline of 4.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample938.0ms

Algorithm

intervals

Results

719.0ms

10675×

body

valid