Details

sample30.0ms

Algorithm

intervals

Results

19.0ms

329×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
2	20
1	14
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

10.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify1.8s

Counts

26 → 26

Iterations

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

prune74.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.9b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

11.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify1.5s

Counts

24 → 24

Iterations

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

prune95.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.9b

localize15.0ms

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)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

25.0ms	(* (sqrt (+ 1.0 (* y y))) x)
39.0ms	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (* y y))) x))
3.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (sqrt (+ 1.0 (* y y))) x)
47.0ms	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (* y y))) x))
84.0ms	(sqrt (+ 1.0 (* y y)))
78.0ms	(sqrt (+ 1.0 (* y y)))

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
done	5062
3	3451
2	936
1	319
0	129

prune535.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 5.9b

localize31.0ms

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)))

rewrite53.0ms

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-l` `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/`
1×	`associate-r` `*-commutative`

Counts

4 → 81

Calls

4 calls:

41.0ms	(* (sqrt (sqrt (+ 1.0 (* y y)))) (* (sqrt (+ 1.0 (* y y))) x))
3.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

450.0ms	(* (sqrt (sqrt (+ 1.0 (* y y)))) (* (sqrt (+ 1.0 (* y y))) x))
67.0ms	(sqrt (+ 1.0 (* y y)))
55.0ms	(sqrt (+ 1.0 (* y y)))
56.0ms	(sqrt (+ 1.0 (* y y)))

simplify2.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5047
3	3393
2	1044
1	355
0	144

prune605.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 5.9b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample1.3s

Algorithm

intervals

Results

718.0ms

10580×

body

valid