Details

analyze86.0ms (7.7%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample676.0ms (60.5%)

Results

658.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 20 to 12 computations (40% saved)

preprocess21.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`swap-re-im`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	9	16
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Symmetry

(sort re im)

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	9	8

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (0.2%)

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 re re (*.f64 im im))

Compiler

Compiled 31 to 14 computations (54.8% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(fma.f64 re re (*.f64 im im))	re	-inf
1.0ms	(fma.f64 re re (*.f64 im im))	re	inf
1.0ms	(fma.f64 re re (*.f64 im im))	re	0
1.0ms	(fma.f64 re re (*.f64 im im))	im	inf
1.0ms	(fma.f64 re re (*.f64 im im))	im	-inf

rewrite32.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

437×	`pow1_binary64`
401×	`add-log-exp_binary64`
401×	`log1p-expm1-u_binary64`
401×	`expm1-log1p-u_binary64`
390×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	98	7
2	1137	7

Stop Event

1×	node limit

Counts

1 → 21

simplify54.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

830×	`sqr-pow_binary64`
372×	`cube-prod_binary64`
359×	`fabs-mul_binary64`
304×	`associate-l_binary64`
262×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	204
1	16	168
2	29	168
3	47	168
4	99	168
5	269	168
6	1081	168
7	1364	168
8	1642	168
9	1893	168
10	2230	168
11	2711	168
12	3366	168
13	4154	168

Stop Event

1×	node limit

Counts

45 → 27

prune13.0ms (1.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	1	28

Error

Counts

28 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 im im (*.f64 re re))

Compiler

Compiled 249 to 121 computations (51.4% saved)

localize3.0ms (0.3%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 im im (*.f64 re re))

Compiler

Compiled 8 to 4 computations (50% saved)

regimes45.0ms (4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

8 → 1

Compiler

Compiled 352 to 215 computations (38.9% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8

Stop Event

1×

saturated

end168.0ms (15%)

Stop Event

1×

done

Compiler

Compiled 40 to 20 computations (50% saved)

Details

analyze86.0ms (7.7%)

sample676.0ms (60.5%)

preprocess21.0ms (1.8%)

simplify6.0ms (0.5%)

prune2.0ms (0.2%)

localize4.0ms (0.3%)

series6.0ms (0.5%)

rewrite32.0ms (2.8%)

simplify54.0ms (4.8%)

prune13.0ms (1.1%)

localize3.0ms (0.3%)

prune1.0ms (0.1%)

regimes45.0ms (4%)

simplify2.0ms (0.2%)

end168.0ms (15%)

Profiling