Details

analyze24.0ms (2.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
96.8%	3.1%	0.1%	6
98.3%	1.6%	0.1%	7
99.1%	0.8%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample31.0ms (3.2%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 25 to 17 computations (32% saved)

simplify9.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2×	`hypot-def_binary64`
2×	`fma-def_binary64`
1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	6
1	11	6
2	13	6
3	13	6

prune3.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0b	(log.f64 (hypot.f64 re im))

Compiler

Compiled 27 to 17 computations (37% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 re im)

rewrite10.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`add-cbrt-cube_binary64`
3×	`log1p-expm1-u_binary64`

Counts

1 → 31

Calls

1 calls:

9.0ms

(hypot.f64 re im)

series16.0ms (1.7%)

Counts

1 → 24

Calls

1 calls:

16.0ms

(hypot.f64 re im)

simplify63.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

943×	`fma-neg_binary64`
529×	`cancel-sign-sub-inv_binary64`
273×	`associate-/r/_binary64`
262×	`distribute-rgt-neg-in_binary64`
259×	`distribute-lft-neg-in_binary64`

Counts

55 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	645
1	190	618
2	523	602
3	2164	602
4	4520	602
5	5089	602

prune24.0ms (2.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	1	81

Error

Counts

81 → 1

Alt Table

Status	Error	Program
✓	0b	(log.f64 (hypot.f64 re im))

Compiler

Compiled 716 to 415 computations (42% saved)

regimes64.0ms (6.7%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 325 to 215 computations (33.8% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

end9.0ms (0.9%)

Remove: (sort re im)
Compiler: Compiled 18 to 12 computations (33.3% saved)

sample696.0ms (72.9%)

Algorithm

1×

intervals

Results

453.0ms

8000×

body

128

valid

Compiler

Compiled 26 to 18 computations (30.8% saved)

Details

analyze24.0ms (2.5%)

sample31.0ms (3.2%)

simplify9.0ms (1%)

prune3.0ms (0.3%)

localize4.0ms (0.4%)

rewrite10.0ms (1.1%)

series16.0ms (1.7%)

simplify63.0ms (6.6%)

prune24.0ms (2.5%)

regimes64.0ms (6.7%)

simplify3.0ms (0.3%)

end9.0ms (0.9%)

sample696.0ms (72.9%)

Profiling