Details

sample39.0ms

Algorithm

intervals

Results

20.0ms

460×

body

valid

simplify57.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
5	79
4	71
3	51
2	29
1	14
0	7

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma x x (* (* y 3) y))
16.0ms	(* (* y 3) y)

series105.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(fma x x (* (* y 3) y))
47.0ms	(* (* y 3) y)

simplify640.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
2	681
1	122
0	53

prune132.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.0b	(+ (* x x) (* y y))
0.1b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite179.0ms

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-+` `log1p-expm1-u`
2×	`associate-+l+`

Counts

3 → 51

Calls

3 calls:

41.0ms	(+ (+ (* x x) (* y y)) (* y y))
6.0ms	(+ (* x x) (* y y))
131.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series129.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (+ (* x x) (* y y)) (* y y))
42.0ms	(+ (* x x) (* y y))
48.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify2.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5002
2	1763
1	276
0	76

prune272.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.1b	(+ (fma (* 2 y) y (* x x)) (* y y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+l+` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `fma-udef` `log1p-expm1-u`

Counts

1 → 17

Calls

1 calls:

7.0ms

(+ (fma (* 2 y) y (* x x)) (* y y))

series75.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(+ (fma (* 2 y) y (* x x)) (* y y))

simplify3.3s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
3	4219
2	514
1	112
0	36

prune117.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.2b	(fma (sqrt (fma (* 2 y) y (* x x))) (sqrt (fma (* 2 y) y (* x x))) (* y y))
4.0b	(sqrt (fma (* 2 y) y (* x x)))
4.0b	(sqrt (fma (* 2 y) y (* x x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`sqrt-prod`
5×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`fma-udef`

Counts

3 → 40

Calls

3 calls:

0.0ms	(fma (sqrt (fma (* 2 y) y (* x x))) (sqrt (fma (* 2 y) y (* x x))) (* y y))
2.0ms	(sqrt (fma (* 2 y) y (* x x)))
2.0ms	(sqrt (fma (* 2 y) y (* x x)))

series465.0ms

Counts

3 → 9

Calls

3 calls:

237.0ms	(fma (sqrt (fma (* 2 y) y (* x x))) (sqrt (fma (* 2 y) y (* x x))) (* y y))
112.0ms	(sqrt (fma (* 2 y) y (* x x)))
115.0ms	(sqrt (fma (* 2 y) y (* x x)))

simplify3.0s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
4	4904
3	899
2	235
1	79
0	47

prune315.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes206.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

893.0ms

14374×

body

valid