Details

sample24.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 38.9b

localize8.0ms

Local error

Found 1 expressions with local error:

36.2b

(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)))

series98.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

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

simplify110.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

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

prune60.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 12.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot (sqrt (+ (* x x) (* y y))) z)
29.9b	(sqrt (+ (* x x) (* y y)))

rewrite4.0ms

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)))

series192.0ms

Counts

2 → 6

Calls

2 calls:

157.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
34.0ms	(sqrt (+ (* x x) (* y y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (4.0ms)

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

prune148.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series228.0ms

Counts

2 → 6

Calls

2 calls:

178.0ms	(hypot (* (sqrt 1) (hypot x y)) z)
50.0ms	(hypot x y)

simplify74.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	51	96
1	74	84
2	97	81
3	198	80
4	427	80
5	637	80
6	1853	80
7	5001	80

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot x y)
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 x y)
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)))

series825.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(hypot x y)
255.0ms	(sqrt (hypot (* (sqrt 1) (hypot x y)) z))
336.0ms	(sqrt (hypot (* (sqrt 1) (hypot x y)) z))
192.0ms	(* (sqrt (hypot (* (sqrt 1) (hypot x y)) z)) (sqrt (hypot (* (sqrt 1) (hypot x y)) z)))

simplify142.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	158	670
1	541	584
2	3217	544
3	5001	527

prune237.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample649.0ms

Algorithm

intervals

Results

486.0ms

8000×

body

valid