Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify10.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.9b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

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:

36.0ms	(+ (+ (* x x) (* y y)) (* z z))
8.0ms	(+ (* x x) (* y y))
34.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (+ (* x x) (* y y)) (* z z))
30.0ms	(+ (* x x) (* y y))
111.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify100.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (95.0ms)

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

prune179.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 14.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot (sqrt (+ (* x x) (* y y))) z)
0.0b	(+ (* x x) (* y y))
30.3b	(sqrt (+ (* x x) (* y y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

0.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
8.0ms	(+ (* x x) (* y y))
8.0ms	(sqrt (+ (* x x) (* y y)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

178.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
30.0ms	(+ (* x x) (* y y))
42.0ms	(sqrt (+ (* x x) (* y y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	152	254
1	617	227
2	1802	223
3	5002	221

prune144.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

series204.0ms

Counts

1 → 3

Calls

1 calls:

204.0ms

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

simplify114.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	36	55
1	47	46
2	63	46
3	116	46
4	341	46
5	1395	46
6	5001	46

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`hypot-udef`
3×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `sqrt-prod` `log1p-expm1-u`
2×	`flip3-+` `sqrt-div` `flip-+`
1×	`+-commutative` `pow2` `rem-sqrt-square` `fma-def` `sqrt-pow1` `pow-plus` `pow1/2` `sqrt-unprod` `pow-prod-down` `prod-exp` `sum-log` `rem-square-sqrt` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `hypot-def` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

7.0ms	(* (hypot x y) (hypot x y))
8.0ms	(+ (* (hypot x y) (hypot x y)) (* z z))
8.0ms	(sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (hypot x y) (hypot x y))
81.0ms	(+ (* (hypot x y) (hypot x y)) (* z z))
149.0ms	(sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))

simplify121.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	197	373
1	823	333
2	3442	318
3	5001	317

prune168.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

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	10	3
1	12	3
2	12	3

end0.0ms

sample451.0ms

Algorithm

intervals

Results

221.0ms

8000×

body

valid