Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify15.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
0.0b	(+ (* x x) (* y y))
36.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite39.0ms

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:

17.0ms	(+ (+ (* x x) (* y y)) (* z z))
4.0ms	(+ (* x x) (* y y))
16.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (+ (* x x) (* y y)) (* z z))
31.0ms	(+ (* x x) (* y y))
111.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify112.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (106.0ms)

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

prune202.0ms

Filtered

59 candidates to 49 candidates (83.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 16.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(hypot (sqrt (+ (* x x) (* y y))) z)
35.0b	(sqrt (+ (* x x) (* y y)))

rewrite9.0ms

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:

3.0ms	(+ (* x x) (* y y))
0.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
4.0ms	(sqrt (+ (* x x) (* y y)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x x) (* y y))
179.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
40.0ms	(sqrt (+ (* x x) (* y y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (65.0ms)

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

prune162.0ms

Filtered

51 candidates to 42 candidates (82.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)

series216.0ms

Counts

1 → 3

Calls

1 calls:

216.0ms

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

simplify129.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

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

prune47.0ms

Filtered

13 candidates to 13 candidates (100.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

0.0ms	(hypot (* 1 (hypot x y)) z)
0.0ms	(hypot (* 1 (hypot x y)) z)
8.0ms	(* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)))

series665.0ms

Counts

3 → 9

Calls

3 calls:

225.0ms	(hypot (* 1 (hypot x y)) z)
218.0ms	(hypot (* 1 (hypot x y)) z)
221.0ms	(* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)))

simplify139.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	112	417
1	406	356
2	2436	336
3	5002	318

prune190.0ms

Filtered

80 candidates to 51 candidates (63.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes49.0ms

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 (0.0ms)

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

end0.0ms

sample431.0ms

Algorithm

intervals

Results

249.0ms

8000×

body

valid