Details

analyze152.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 97.668457%

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

prune3.0ms

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: 34.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

32.0b

(sqrt (+ (* re re) (* im im)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(sqrt (+ (* re re) (* im im)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(sqrt (+ (* re re) (* im im)))

simplify136.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 5 (133.0ms)

Iter	Nodes	Cost
0	89	100
1	215	97
2	503	97
3	1265	97
4	4227	97
5	5002	96

prune34.0ms

Filtered

15 candidates to 18 candidates (-20.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 8.3b

Counts

19 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (sqrt (+ (* re re) (* im im))) 3)
32.0b	(sqrt (+ (* re re) (* im im)))
40.4b	(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
15×	`add-sqr-sqrt` `sqrt-prod`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod`
6×	`pow1` `sqrt-div`
4×	`add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `pow-pow` `flip3-+` `flip-+` `add-log-exp`
2×	`cube-mult` `cbrt-div` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 78

Calls

3 calls:

5.0ms	(pow (sqrt (+ (* re re) (* im im))) 3)
3.0ms	(sqrt (+ (* re re) (* im im)))
5.0ms	(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

series26.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(pow (sqrt (+ (* re re) (* im im))) 3)
6.0ms	(sqrt (+ (* re re) (* im im)))
6.0ms	(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

simplify37.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	256	566
1	979	544
2	5002	534

prune77.0ms

Filtered

47 candidates to 87 candidates (-85.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	86	6	92

Merged error: 8.3b

Counts

92 → 6

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	2	2
Total	6	6

Merged error: 8.3b

Counts

6 → 6

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	3	3
Total	6	6

Merged error: 8.3b

Counts

6 → 6

Details

analyze152.0ms

sample15.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite4.0ms

series6.0ms

simplify136.0ms

prune34.0ms

localize9.0ms

rewrite15.0ms

series26.0ms

simplify37.0ms

prune77.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune7.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes470.0ms

bsearch2.0ms

Profiling