Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	31
3	31
2	24
1	14
0	9

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.9b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (+ (* x x) (* y y)) (* z z))
35.2b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

13.0ms	(+ (* x x) (* y y))
37.0ms	(+ (+ (* x x) (* y y)) (* z z))
42.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series289.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (* x x) (* y y))
53.0ms	(+ (+ (* x x) (* y y)) (* z z))
193.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.2s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	1568
1	253
0	80

prune384.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 14.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
29.4b	(sqrt (+ (* x x) (* y y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

12.0ms	(+ (* x x) (* y y))
12.0ms	(sqrt (+ (* x x) (* y y)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* x x) (* y y))
75.0ms	(sqrt (+ (* x x) (* y y)))

simplify685.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5001
2	823
1	151
0	52

prune242.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(hypot y x)

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(hypot y x)

simplify1.3s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
8	1049
7	324
6	141
5	72
4	38
3	30
2	25
1	22
0	17

prune90.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify3.0ms

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

end0.0ms

sample949.0ms

Algorithm

intervals

Results

582.0ms

8000×

body

valid