Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 10 to 6 computations (40% saved)

sample802.0ms (62.9%)

Infinites

44.2% of outputs are infinite.

Results

509.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify193.0ms (15.1%)

Algorithm

1×	egg-herbie

Rules

767×	`unsub-neg_binary64`
740×	`*-commutative_binary64`
699×	`fma-def_binary64`
598×	`fma-neg_binary64`
465×	`distribute-neg-out_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	15	10
2	25	10
3	53	10
4	114	10
5	274	10
6	525	10
7	1003	10
8	1777	10
9	2581	10
10	2830	10
11	3137	10
12	3367	10
13	3481	10
14	3481	10
15	4440	10
16	4280	10
17	4600	10
18	4600	10
19	5099	10

prune1.0ms (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

3.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	3.8b	(-.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.7b	(-.f64 (.f64 re re) (.f64 im im))

series7.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

7.0ms

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

rewrite4.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`difference-of-squares_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`

Counts

1 → 17

Calls

1 calls:

3.0ms

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

simplify64.0ms (5%)

Algorithm

1×	egg-herbie

Rules

794×	`distribute-rgt-in_binary64`
735×	`distribute-lft-in_binary64`
561×	`fma-def_binary64`
168×	`fma-neg_binary64`
164×	`unswap-sqr_binary64`

Counts

41 → 28

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	480
1	109	434
2	303	428
3	1055	428
4	4694	428
5	4980	428
6	4883	428

prune15.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	2	29

Error

Counts

29 → 2

Alt Table

Status	Error	Program
▶	0.5b	(fma.f64 re re (neg.f64 (*.f64 im im)))
	28.8b	(pow.f64 re 2)

Compiler

Compiled 354 to 107 computations (69.8% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(fma.f64 re re (neg.f64 (*.f64 im im)))

series9.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite1.0ms (0.1%)

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 re re (neg.f64 (*.f64 im im)))

simplify69.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-neg_binary64`
486×	`*-commutative_binary64`
272×	`neg-sub0_binary64`
257×	`associate-l_binary64`
245×	`neg-mul-1_binary64`

Counts

34 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	358
1	36	337
2	72	337
3	249	337
4	1393	337
5	3219	337
6	4751	337
7	4933	337

prune9.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Error

Counts

25 → 2

Alt Table

Status	Error	Program
✓	0.5b	(fma.f64 re re (neg.f64 (*.f64 im im)))
▶	28.8b	(pow.f64 re 2)

Compiler

Compiled 268 to 68 computations (74.6% saved)

localize2.0ms (0.2%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Status	Error	Program
✓	0.5b	(fma.f64 re re (neg.f64 (*.f64 im im)))
✓	28.8b	(pow.f64 re 2)

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes54.0ms (4.2%)

Accuracy

Total 1.8b remaining (99.9%)

Threshold costs 0b (0%)

Counts

9 → 1

Compiler

Compiled 605 to 373 computations (38.3% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	13	10
2	17	10
3	20	10
4	21	10
5	21	10

end32.0ms (2.5%)

Compiler: Compiled 32 to 19 computations (40.6% saved)

Details

analyze2.0ms (0.1%)

sample802.0ms (62.9%)

simplify193.0ms (15.1%)

prune1.0ms (0.1%)

localize5.0ms (0.4%)

series7.0ms (0.6%)

rewrite4.0ms (0.3%)

simplify64.0ms (5%)

prune15.0ms (1.2%)

localize4.0ms (0.3%)

series9.0ms (0.7%)

rewrite1.0ms (0.1%)

simplify69.0ms (5.4%)

prune9.0ms (0.7%)

localize2.0ms (0.2%)

prune1.0ms (0.1%)

regimes54.0ms (4.2%)

simplify2.0ms (0.2%)

end32.0ms (2.5%)

Profiling