Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify9.0ms

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: 38.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
35.4b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`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:

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

series114.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* x x) (* y y))
89.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	186	224
1	767	212
2	2319	209
3	5001	207

prune94.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 16.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
32.2b	(sqrt (+ (* x x) (* y y)))

rewrite16.0ms

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:

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

series58.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* x x) (* y y))
34.0ms	(sqrt (+ (* x x) (* y y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (49.0ms)

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

prune93.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize4.0ms

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)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(hypot x y)

simplify98.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

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

prune32.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2

end0.0ms

sample446.0ms

Algorithm

intervals

Results

227.0ms

8000×

body

valid