Details

sample72.0ms

Algorithm

intervals

Results

31.0ms

451×

body

valid

simplify172.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	80
4	80
3	77
2	44
1	18
0	9

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
0.0b	(+ (* x x) (* (* x 2.0) y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

52.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
11.0ms	(+ (* x x) (* (* x 2.0) y))

series173.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
101.0ms	(+ (* x x) (* (* x 2.0) y))

simplify7.2s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
3	4308
2	857
1	207
0	63

prune377.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma x x (* (* x 2.0) y)) (* y y))
0.0b	(fma x x (* (* x 2.0) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

17.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))
2.0ms	(fma x x (* (* x 2.0) y))

series155.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))
91.0ms	(fma x x (* (* x 2.0) y))

simplify3.1s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
3	1099
2	320
1	122
0	49

prune414.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (* (* x 2.0) y))
0.0b	(* (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))))
7.3b	(sqrt (+ (fma x x (* (* x 2.0) y)) (* y y)))
7.3b	(sqrt (+ (fma x x (* (* x 2.0) y)) (* y y)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`flip3-+` `swap-sqr` `flip-+`
6×	`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` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/` `hypot-def`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 109

Calls

4 calls:

1.0ms	(fma x x (* (* x 2.0) y))
61.0ms	(* (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))))
17.0ms	(sqrt (+ (fma x x (* (* x 2.0) y)) (* y y)))
23.0ms	(sqrt (+ (fma x x (* (* x 2.0) y)) (* y y)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(fma x x (* (* x 2.0) y))
66.0ms	(* (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))))
153.0ms	(sqrt (+ (fma x x (* (* x 2.0) y)) (* y y)))
116.0ms	(sqrt (+ (fma x x (* (* x 2.0) y)) (* y y)))

simplify5.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	5003
3	2396
2	558
1	231
0	112

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x x (* (* x 2.0) y))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

2.0ms

(fma x x (* (* x 2.0) y))

series106.0ms

Counts

1 → 3

Calls

1 calls:

106.0ms

(fma x x (* (* x 2.0) y))

simplify4.9s

Counts

14 → 14

Iterations

Iter	Nodes
done	5001
5	960
4	263
3	92
2	57
1	36
0	22

prune166.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

1000.0ms

14275×

body

valid