Details

sample34.0ms

Algorithm

intervals

Results

24.0ms

462×

body

valid

simplify32.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	69
5	69
4	65
3	50
2	29
1	14
0	7

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* (* 3 y) y))
0.2b	(* (* 3 y) y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma x x (* (* 3 y) y))
15.0ms	(* (* 3 y) y)

series107.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(fma x x (* (* 3 y) y))
35.0ms	(* (* 3 y) y)

simplify1.7s

Counts

38 → 38

Iterations

Iter	Nodes
done	5001
3	1390
2	365
1	126
0	54

prune140.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.0b	(+ (* x x) (* y y))
0.2b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`fma-def`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`associate-+l+`

Counts

3 → 54

Calls

3 calls:

39.0ms	(+ (+ (* x x) (* y y)) (* y y))
8.0ms	(+ (* x x) (* y y))
125.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series151.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (+ (* x x) (* y y)) (* y y))
43.0ms	(+ (* x x) (* y y))
60.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify2.4s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	4942
2	864
1	252
0	79

prune244.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.2b	(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
4.5b	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
4.5b	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def`
1×	`+-commutative` `sum-log` `fma-def` `fma-udef`

Counts

4 → 64

Calls

4 calls:

12.0ms	(+ (* x x) (* y y))
0.0ms	(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
35.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
31.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* x x) (* y y))
149.0ms	(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
77.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
87.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

simplify1.8s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	2797
2	617
1	202
0	84

prune387.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
0.3b	(* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
4.6b	(sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
4.6b	(sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))

rewrite911.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-log-exp`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`sum-log` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/` `hypot-def`
1×	`pow2` `+-commutative` `associate-+l+` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

109.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
503.0ms	(* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
153.0ms	(sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
143.0ms	(sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
62.0ms	(* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))
81.0ms	(sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))
77.0ms	(sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))

simplify2.4s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
3	3066
2	693
1	274
0	114

prune533.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes253.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s

14126×

body

valid