Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.3b

localize9.0ms

Local error

Found 1 expressions with local error:

34.7b

(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

14.0ms

(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series117.0ms

Counts

1 → 3

Calls

1 calls:

117.0ms

(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify132.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	96	156
1	305	148
2	1103	148
3	4548	148
4	5001	148

prune77.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 16.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot (sqrt (+ (* x x) (* y y))) z)
32.4b	(sqrt (+ (* x x) (* y y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

0.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
4.0ms	(sqrt (+ (* x x) (* y y)))

series228.0ms

Counts

2 → 6

Calls

2 calls:

187.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
41.0ms	(sqrt (+ (* x x) (* y y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	114	180
1	282	163
2	660	163
3	1620	163
4	5001	163

prune108.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot (* (sqrt 1) (hypot x y)) z)

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 (* (sqrt 1) (hypot x y)) z)

series215.0ms

Counts

1 → 3

Calls

1 calls:

215.0ms

(hypot (* (sqrt 1) (hypot x y)) z)

simplify151.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	37	69
1	58	60
2	77	57
3	128	56
4	228	56
5	294	56
6	830	56
7	2534	56
8	5002	56

prune47.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot (* (sqrt 1) (hypot x y)) z)
0.0b	(sqrt (hypot (* (sqrt 1) (hypot x y)) z))
0.0b	(sqrt (hypot (* (sqrt 1) (hypot x y)) z))
0.5b	(* (sqrt (hypot (* (sqrt 1) (hypot x y)) z)) (sqrt (hypot (* (sqrt 1) (hypot x y)) z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `hypot-udef` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

0.0ms	(hypot (* (sqrt 1) (hypot x y)) z)
1.0ms	(sqrt (hypot (* (sqrt 1) (hypot x y)) z))
1.0ms	(sqrt (hypot (* (sqrt 1) (hypot x y)) z))
7.0ms	(* (sqrt (hypot (* (sqrt 1) (hypot x y)) z)) (sqrt (hypot (* (sqrt 1) (hypot x y)) z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

209.0ms	(hypot (* (sqrt 1) (hypot x y)) z)
292.0ms	(sqrt (hypot (* (sqrt 1) (hypot x y)) z))
294.0ms	(sqrt (hypot (* (sqrt 1) (hypot x y)) z))
211.0ms	(* (sqrt (hypot (* (sqrt 1) (hypot x y)) z)) (sqrt (hypot (* (sqrt 1) (hypot x y)) z)))

simplify166.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (156.0ms)

Iter	Nodes	Cost
0	162	677
1	611	592
2	3354	557
3	5001	536

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample399.0ms

Algorithm

intervals

Results

236.0ms

8000×

body

valid