Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	6
1	25	6
2	31	6
3	32	6
4	32	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
0.0b	(+ (* x x) (* y y))
33.6b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `fma-def` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `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:

14.0ms	(+ (+ (* x x) (* y y)) (* z z))
3.0ms	(+ (* x x) (* y y))
15.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (+ (* x x) (* y y)) (* z z))
33.0ms	(+ (* x x) (* y y))
112.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify108.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	225	355
1	1043	323
2	3749	312
3	5001	309

prune184.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
27.7b	(sqrt (+ (* x x) (* y y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

6.0ms	(+ (* x x) (* y y))
4.0ms	(sqrt (+ (* x x) (* y y)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* x x) (* y y))
40.0ms	(sqrt (+ (* x x) (* y y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	136	177
1	589	162
2	1761	158
3	5002	156

prune106.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot x y)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(hypot x y)

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(hypot x y)

simplify110.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	22	27
1	25	24
2	29	24
3	34	24
4	53	24
5	107	24
6	513	24
7	1687	24
8	5001	24

prune41.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	12	3
2	12	3

end0.0ms

sample399.0ms

Algorithm

intervals

Results

236.0ms

8000×

body

valid