Details

analyze478.0ms (18.7%)

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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample83.0ms (3.2%)

Algorithm

1×

intervals

Results

27.0ms	43×	body	1024	valid
20.0ms	188×	body	128	valid
4.0ms	15×	body	512	valid
2.0ms	10×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
1×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	14	12
2	22	12
3	26	12
4	26	12

prune6.0ms (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 z (cos.f64 y) (+.f64 x (sin.f64 y)))

Compiler

Compiled 42 to 23 computations (45.2% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 y)
✓	0.0b	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))

series16.0ms (0.6%)

Counts

2 → 40

Calls

2 calls:

14.0ms	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
2.0ms	(sin.f64 y)

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 19

Calls

2 calls:

1.0ms	(sin.f64 y)
0.0ms	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))

simplify115.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

785×	`fma-def_binary64`
426×	`distribute-rgt-neg-in_binary64`
411×	`cancel-sign-sub-inv_binary64`
351×	`distribute-lft-neg-in_binary64`
315×	`associate-l_binary64`

Counts

59 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	689
1	131	651
2	324	644
3	991	638
4	3346	638
5	4598	638
6	4974	638
7	4998	638
8	4916	638

prune25.0ms (1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	1	51

Error

0.0b

Counts

51 → 1

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))

Compiler

Compiled 611 to 205 computations (66.4% saved)

regimes49.0ms (1.9%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

12 → 1

Compiler

Compiled 440 to 294 computations (33.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12
2	9	12

end0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample1.8s (69.1%)

Algorithm

1×

intervals

Results

667.0ms	1320×	body	1024	valid
474.0ms	5665×	body	128	valid
208.0ms	659×	body	512	valid
73.0ms	351×	body	256	valid
6.0ms	5×	body	2048	valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

Details

analyze478.0ms (18.7%)

sample83.0ms (3.2%)

simplify7.0ms (0.3%)

prune6.0ms (0.2%)

localize7.0ms (0.3%)

series16.0ms (0.6%)

rewrite2.0ms (0.1%)

simplify115.0ms (4.5%)

prune25.0ms (1%)

regimes49.0ms (1.9%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (69.1%)

Profiling