Details

analyze1.1s (45.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample39.0ms (1.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	45×	body	128	invalid

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify19.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

171×	`fma-def_binary64`
87×	`fma-neg_binary64`
36×	`cancel-sign-sub-inv_binary64`
23×	`distribute-rgt-neg-in_binary64`
20×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	29	14
3	46	14
4	68	14
5	102	14
6	154	14
7	215	14
8	259	14
9	281	14
10	301	14
11	307	14
12	276	14

prune2.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`
1×	`*-un-lft-identity_binary64`

Counts

1 → 16

Calls

1 calls:

3.0ms

(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

series33.0ms (1.4%)

Counts

1 → 48

Calls

1 calls:

33.0ms

(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

simplify155.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

480×	`times-frac_binary64`
463×	`fma-def_binary64`
444×	`unsub-neg_binary64`
265×	`sub-neg_binary64`
232×	`distribute-rgt-neg-in_binary64`

Counts

64 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	942
1	114	908
2	349	900
3	976	900
4	2185	900
5	3453	900
6	4491	900
7	4963	900
8	4997	900
9	4861	900

prune17.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	1	85

Error

0.0b

Counts

85 → 1

Alt Table

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

Compiler

Compiled 435 to 106 computations (75.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))

series38.0ms (1.6%)

Counts

1 → 48

Calls

1 calls:

37.0ms

(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))

simplify119.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

967×	`unsub-neg_binary64`
792×	`times-frac_binary64`
422×	`fma-neg_binary64`
384×	`neg-sub0_binary64`
364×	`neg-mul-1_binary64`

Counts

58 → 71

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	786
1	38	757
2	67	757
3	217	757
4	897	757
5	1762	757
6	3725	757
7	4514	757
8	5731	757

prune7.0ms (0.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	1	72

Error

0.0b

Counts

72 → 1

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))

Compiler

Compiled 252 to 57 computations (77.4% saved)

regimes104.0ms (4.5%)

Accuracy

Total -0.0b remaining (-4.5%)

Threshold costs -0.0b (-4.5%)

Compiler

Compiled 1242 to 841 computations (32.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	24	30
2	32	30
3	36	30
4	37	30
5	37	30

end23.0ms (1%)

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 95 to 50 computations (47.4% saved)

sample703.0ms (30.1%)

Algorithm

1×

intervals

Results

289.0ms	8000×	body	128	valid
42.0ms	1383×	body	128	invalid

Compiler

Compiled 46 to 29 computations (37% saved)

Iter	Nodes	Cost
0	10	14
1	18	14
2	29	14
3	46	14
4	68	14
5	102	14
6	154	14
7	215	14
8	259	14
9	281	14
10	301	14
11	307	14
12	276	14

Iter	Nodes	Cost
0	10	14
1	18	14
2	29	14
3	46	14
4	68	14
5	102	14
6	154	14
7	215	14
8	259	14
9	281	14
10	301	14
11	307	14
12	276	14

Details

analyze1.1s (45.3%)

sample39.0ms (1.7%)

simplify19.0ms (0.8%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite4.0ms (0.2%)

series33.0ms (1.4%)

simplify155.0ms (6.6%)

prune17.0ms (0.7%)

localize5.0ms (0.2%)

rewrite1.0ms (0%)

series38.0ms (1.6%)

simplify119.0ms (5.1%)

prune7.0ms (0.3%)

regimes104.0ms (4.5%)

simplify4.0ms (0.2%)

end23.0ms (1%)

sample703.0ms (30.1%)

Profiling

Iter	Nodes	Cost
0	10	14
1	18	14
2	29	14
3	46	14
4	68	14
5	102	14
6	154	14
7	215	14
8	259	14
9	281	14
10	301	14
11	307	14
12	276	14