Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	12	5
2	12	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 30.9b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
28.7b	(sqrt (+ (* re re) (* im im)))

rewrite8.0ms

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:

4.0ms	(+ (* re re) (* im im))
4.0ms	(sqrt (+ (* re re) (* im im)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* re re) (* im im))
34.0ms	(sqrt (+ (* re re) (* im im)))

simplify53.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (50.0ms)

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

prune77.0ms

Filtered

38 candidates to 32 candidates (84.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	1	39

Merged error: 0b

Counts

39 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot re im)

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:

1.0ms

(hypot re im)

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(hypot re im)

simplify93.0ms

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

prune25.0ms

Filtered

13 candidates to 13 candidates (100.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	1	14

Merged error: 0b

Counts

14 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2

end0.0ms

sample492.0ms

Algorithm

intervals

Results

352.0ms

8000×

body

valid