Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 23 to 13 computations (43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-cos: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.5s (18.8%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 790.0ms

ival-mult: 369.0ms (46.7% of total)

ival-cos: 205.0ms (25.9% of total)

ival-div: 92.0ms (11.6% of total)

ival-sqrt: 70.0ms (8.9% of total)

ival-add: 38.0ms (4.8% of total)

const: 13.0ms (1.6% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess219.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1241×	`fma-define`
680×	`times-frac`
547×	`fma-neg`
460×	`div-sub`
356×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	606
1	145	562
2	421	562
3	1139	562
4	2837	562
5	5639	562
6	6583	562
7	7394	562
8	7471	562
9	7487	562

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a2) (neg.f64 a2))))
(+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a2) (neg.f64 a2)))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a2) (neg.f64 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a2) (neg.f64 a2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th th (.f64 a2 a2)))
(.f64 (cos.f64 a1) (/.f64 (fma.f64 th th (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 th th)))
(.f64 (cos.f64 a2) (/.f64 (fma.f64 th th (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th th (.f64 a1 a1)))

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

explain403.0ms (5.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))`
-	-	`a2`
-	-	`(cos.f64 th)`
-	-	`(*.f64 a2 a2)`
-	-	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
-	-	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))`
-	-	`th`
-	-	`(sqrt.f64 #s(literal 2 binary64))`
-	-	`(*.f64 a1 a1)`
-	-	`a1`

Results

355.0ms

512×

valid

Compiler

Compiled 142 to 38 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-mult: 153.0ms (73.5% of total)

ival-sqrt: 36.0ms (17.3% of total)

ival-cos: 13.0ms (6.2% of total)

ival-div: 4.0ms (1.9% of total)

ival-add: 2.0ms (1% of total)

const: 1.0ms (0.5% of total)

backward-pass: 0.0ms (0% of total)

eval2.0ms (0%)

Compiler: Compiled 40 to 16 computations (60% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize93.0ms (1.2%)

Algorithm

2×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	cost-diff	0	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.6%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))

Rules

30×	`fma-define`
29×	`fma-define`
25×	`*-commutative`
18×	`*-commutative`
12×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	153
1	23	153
2	32	153
3	48	153
4	59	153
5	67	153
6	83	153
7	101	153
8	121	153
9	140	153
10	142	153
0	18	147
1	30	147
2	60	147
3	94	147
4	124	147
5	141	147
6	145	147

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Outputs
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Call 2

Inputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

Results

45.0ms

256×

valid

Compiler

Compiled 81 to 15 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-cos: 6.0ms (27% of total)

ival-mult: 6.0ms (27% of total)

ival-div: 3.0ms (13.5% of total)

ival-fma: 3.0ms (13.5% of total)

ival-sqrt: 2.0ms (9% of total)

ival-add: 1.0ms (4.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series28.0ms (0.4%)

Counts

9 → 164

Calls

Call 1

Inputs
#<alt (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (cos.f64 th)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (+.f64 (.f64 a1 a1) (.f64 a2 a2))>
#<alt (fma.f64 a2 a2 (*.f64 a1 a1))>
#<alt (*.f64 a1 a1)>

Outputs
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
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#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	th	@	inf	(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
2.0ms	th	@	-inf	(/ (cos th) (sqrt 2))
1.0ms	a2	@	0	(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
1.0ms	a2	@	0	(/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))
1.0ms	th	@	0	(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))

rewrite281.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`prod-diff`
808×	`log1p-expm1-u`
732×	`expm1-log1p-u`
117×	`add-cube-cbrt`
116×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	217
1	301	192
2	3735	192

Stop Event

1×	node limit

Counts

9 → 293

Calls

Call 1

Inputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (hypot.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
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(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 a1 #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 a1 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 a1 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 a1 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a1 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a1)) #s(literal 1 binary64)))

simplify230.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

449×	`associate-r`
449×	`times-frac`
444×	`associate-l`
394×	`cube-prod`
278×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	525	20254
1	1201	18660
2	5776	18630

Stop Event

1×	node limit

Counts

457 → 298

Calls

Call 1

Inputs
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
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(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 a1 #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 a1 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 a1 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 a1 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a1 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a1)) #s(literal 1 binary64)))

Outputs
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 binary64))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
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(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
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(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 (pow.f64 a1 #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 a1 #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 a1 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 a1 #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(pow.f64 a1 #s(literal 2 binary64))
(cbrt.f64 (pow.f64 a1 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a1 #s(literal 2 binary64))))
(pow.f64 a1 #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)))
(pow.f64 a1 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(pow.f64 a1 #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a1)) #s(literal 1 binary64)))
(pow.f64 a1 #s(literal 2 binary64))

eval46.0ms (0.6%)

Compiler: Compiled 6755 to 1043 computations (84.6% saved)

prune69.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	347	13	360
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	348	14	362

Accuracy

100.0%

Counts

362 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
	98.4%	(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.4%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	65.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.6%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.5%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.4%	(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
	98.4%	(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	99.6%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
	75.8%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
	65.7%	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 438 to 309 computations (29.5% saved)

localize416.0ms (5.3%)

Algorithm

5×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	256	(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	6528	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	6528	(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(neg.f64 (cos.f64 th))
✓	cost-diff	64	(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	256	(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 a2 a2)
	cost-diff	0	(*.f64 a1 a1)
	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(hypot.f64 a2 a1)
	cost-diff	0	(cos.f64 th)
✓	cost-diff	6400	(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
✓	cost-diff	6400	(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
✓	accuracy	99.5%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
✓	accuracy	99.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.7%	(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	98.4%	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.7%	(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
✓	accuracy	99.8%	(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
✓	accuracy	99.4%	(*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))

Rules

1748×	`fma-define`
907×	`fma-neg`
505×	`times-frac`
326×	`associate-l`
278×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	166
1	29	158
2	49	158
3	83	158
4	159	158
5	237	158
6	260	158
0	16	122
1	33	116
2	63	116
3	111	116
4	137	116
5	139	116
0	22	212
1	51	196
2	158	180
3	817	180
4	2501	180
5	4748	180
6	5566	180
7	5756	180
8	5783	180
9	5797	180
10	5805	180
11	5929	180
12	7193	180
13	7193	180
14	7193	180
0	20	179
1	33	161
2	72	155
3	146	155
4	236	155
5	306	155
6	328	155
7	329	155
0	17	129
1	24	129
2	35	129
3	66	129
4	109	129
5	146	129
6	166	129
7	185	129
8	187	129

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(hypot.f64 a2 a1)
a2
a1

Outputs
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(hypot.f64 a2 a1)
a2
a1

Call 2

Inputs
(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(cos.f64 th)
th
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Outputs
(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Call 3

Inputs
(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (cos.f64 th))
(cos.f64 th)
th
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Outputs
(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (*.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (cos.f64 th))
(cos.f64 th)
th
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Call 4

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Call 5

Inputs
(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(cos.f64 th)
th
(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(hypot.f64 a2 a1)
a2
a1
(*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)

Outputs
(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (cos.f64 th) (.f64 (*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(cos.f64 th)
th
(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))
(hypot.f64 a2 a1)
a2
a1
(*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)

Results

108.0ms

256×

valid

Compiler

Compiled 230 to 32 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-pow: 17.0ms (28.7% of total)

ival-mult: 15.0ms (25.3% of total)

ival-div: 8.0ms (13.5% of total)

ival-cos: 7.0ms (11.8% of total)

ival-hypot: 5.0ms (8.4% of total)

ival-add: 2.0ms (3.4% of total)

ival-sqrt: 2.0ms (3.4% of total)

ival-neg: 2.0ms (3.4% of total)

const: 1.0ms (1.7% of total)

backward-pass: 0.0ms (0% of total)

series53.0ms (0.7%)

Counts

17 → 336

Calls

Call 1

Inputs
#<alt (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))>
#<alt (.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))>
#<alt (.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))>
#<alt (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))>
#<alt (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))>
#<alt (hypot.f64 a2 a1)>
#<alt (*.f64 a2 a2)>
#<alt (neg.f64 (cos.f64 th))>

Outputs
#<alt (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) a1)) (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)))))>
#<alt (+.f64 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 5 binary64)))))))))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))>
#<alt (.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))))>
#<alt (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) a2)) (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))))>
#<alt (+.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 5 binary64)))))))))>
#<alt (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))>
#<alt (.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
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#<alt (+.f64 a1 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))>
#<alt (+.f64 a1 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a1)))))>
#<alt (+.f64 a1 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a1)))))>
#<alt a2>
#<alt (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 a2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))>
#<alt (.f64 a2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) a2)>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))>
#<alt a2>
#<alt (+.f64 a2 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)))>
#<alt (+.f64 a2 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a2)))))>
#<alt (+.f64 a2 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a2)))))>
#<alt a1>
#<alt (.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 a1 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))))>
#<alt (.f64 a1 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) a1)>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>

Calls

84 calls:

Time	Variable		Point	Expression
5.0ms	a2	@	0	(* (cos th) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (pow 2 -1/2))))
3.0ms	a2	@	0	(sqrt (+ (* a2 a2) (* a1 a1)))
2.0ms	th	@	-inf	(* (cos th) (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (pow 2 -1/2))))
1.0ms	a2	@	inf	(* (* (neg (cos th)) (/ 1 (neg (sqrt 2)))) (+ (* a1 a1) (* a2 a2)))
1.0ms	a2	@	0	(* (sqrt (+ (* a2 a2) (* a1 a1))) (pow 2 -1/2))

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

256×	`associate-r`
235×	`log1p-expm1-u`
235×	`expm1-log1p-u`
216×	`add-exp-log`
216×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	423
1	638	423

Stop Event

1×	node limit

Counts

17 → 582

Calls

Call 1

Inputs
(*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(hypot.f64 a2 a1)
(*.f64 a2 a2)
(neg.f64 (cos.f64 th))

Outputs
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2))
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a2 a1)
(+.f64 (neg.f64 a2) (neg.f64 a1))
(+.f64 (neg.f64 a1) (neg.f64 a2))
(+.f64 (.f64 (+.f64 a1 a2) a1) (.f64 (+.f64 a1 a2) a2))
(+.f64 (.f64 (+.f64 a1 a2) a2) (.f64 (+.f64 a1 a2) a1))
(+.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a2 (+.f64 a1 a2)))
(+.f64 (.f64 a2 (+.f64 a1 a2)) (.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(neg.f64 (+.f64 a1 a2))
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2))
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a2 a1)
(+.f64 (neg.f64 a2) (neg.f64 a1))
(+.f64 (neg.f64 a1) (neg.f64 a2))
(+.f64 (.f64 (+.f64 a1 a2) a1) (.f64 (+.f64 a1 a2) a2))
(+.f64 (.f64 (+.f64 a1 a2) a2) (.f64 (+.f64 a1 a2) a1))
(+.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a2 (+.f64 a1 a2)))
(+.f64 (.f64 a2 (+.f64 a1 a2)) (.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(neg.f64 (+.f64 a1 a2))
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(+.f64 (.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 a1 (cos.f64 th))) (.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (+.f64 a1 a2) (cos.f64 th))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (+.f64 a1 a2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (.f64 (cos.f64 th) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (cos.f64 th))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(exp.f64 (-.f64 (log.f64 (+.f64 a1 a2)) (log.f64 (cos.f64 th))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
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(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a2 a1)
(+.f64 (neg.f64 a2) (neg.f64 a1))
(+.f64 (neg.f64 a1) (neg.f64 a2))
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(+.f64 (.f64 (+.f64 a1 a2) a2) (.f64 (+.f64 a1 a2) a1))
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(+.f64 (.f64 a2 (+.f64 a1 a2)) (.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(neg.f64 (+.f64 a1 a2))
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
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#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(+.f64 (.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 a1 (cos.f64 th))) (.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (+.f64 a1 a2) (cos.f64 th))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (+.f64 a1 a2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (.f64 (cos.f64 th) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (cos.f64 th))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(exp.f64 (-.f64 (log.f64 (+.f64 a1 a2)) (log.f64 (cos.f64 th))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 binary64))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -2 binary64)))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 #s(literal -2 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -2 binary64)))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (.f64 (cos.f64 th) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (cos.f64 th))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
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(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(exp.f64 (-.f64 (log.f64 (+.f64 a1 a2)) (log.f64 (cos.f64 th))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2))
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a2 a1)
(+.f64 (neg.f64 a2) (neg.f64 a1))
(+.f64 (neg.f64 a1) (neg.f64 a2))
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(+.f64 (.f64 a2 (+.f64 a1 a2)) (.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(.f64 (+.f64 a1 a2) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
(.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(neg.f64 (+.f64 a1 a2))
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
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(*.f64 (+.f64 a1 a2) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(.f64 #s(literal -2 binary64) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(.f64 (cos.f64 th) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (cos.f64 th))
(.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(exp.f64 (-.f64 (log.f64 (+.f64 a1 a2)) (log.f64 (cos.f64 th))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2))
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a2 a1)
(+.f64 (neg.f64 a2) (neg.f64 a1))
(+.f64 (neg.f64 a1) (neg.f64 a2))
(+.f64 (.f64 (+.f64 a1 a2) a1) (.f64 (+.f64 a1 a2) a2))
(+.f64 (.f64 (+.f64 a1 a2) a2) (.f64 (+.f64 a1 a2) a1))
(+.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a2 (+.f64 a1 a2)))
(+.f64 (.f64 a2 (+.f64 a1 a2)) (.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(.f64 (+.f64 a1 a2) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
(.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(neg.f64 (+.f64 a1 a2))
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2))
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a2 a1)
(+.f64 (neg.f64 a2) (neg.f64 a1))
(+.f64 (neg.f64 a1) (neg.f64 a2))
(+.f64 (.f64 (+.f64 a1 a2) a1) (.f64 (+.f64 a1 a2) a2))
(+.f64 (.f64 (+.f64 a1 a2) a2) (.f64 (+.f64 a1 a2) a1))
(+.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a2 (+.f64 a1 a2)))
(+.f64 (.f64 a2 (+.f64 a1 a2)) (.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(.f64 (+.f64 a1 a2) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
(.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(neg.f64 (+.f64 a1 a2))
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -2 binary64))
(/.f64 a2 #s(literal -2 binary64))
(pow.f64 a2 #s(literal -2 binary64))
(pow.f64 a2 #s(literal 1/3 binary64))
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal -2 binary64)))
(exp.f64 (+.f64 (log.f64 a2) #s(literal 0 binary64)))
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 #s(literal -2 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 binary64))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -2 binary64)))

simplify353.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

446×	`fma-define`
387×	`associate-r`
326×	`associate-l`
321×	`distribute-lft-in`
314×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	607	33709
1	1716	31190
2	5876	30810

Stop Event

1×	node limit

Counts

918 → 490

Calls

Call 1

Inputs
(*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) a1)) (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)))))
(+.f64 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 5 binary64)))))))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) a2)) (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))))
(+.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 5 binary64)))))))))
(*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))
(.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
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(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 a1 #s(literal 2 binary64))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
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(pow.f64 a1 #s(literal 2 binary64))
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a1
(+.f64 a1 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))
(+.f64 a1 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a1)))))
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a2
(.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
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(*.f64 #s(literal -1 binary64) a2)
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))
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a2
(+.f64 a2 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)))
(+.f64 a2 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a2)))))
(+.f64 a2 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a2)))))
a1
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
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(.f64 a1 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) a1)
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(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))
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(*.f64 #s(literal -1 binary64) (cos.f64 th))
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(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
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(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
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(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(neg.f64 (+.f64 a1 a2))
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(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
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(fma.f64 a1 a1 (neg.f64 a2))
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(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
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(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
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(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(neg.f64 (+.f64 a1 a2))
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(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (.f64 (cos.f64 th) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (cos.f64 th))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)))
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(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(exp.f64 (-.f64 (log.f64 (+.f64 a1 a2)) (log.f64 (cos.f64 th))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
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(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
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(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
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(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
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(neg.f64 (+.f64 a1 a2))
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(cbrt.f64 (+.f64 a1 a2))
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(hypot.f64 a1 a2)
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(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 #s(literal -2 binary64) a1 a2)
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(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
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(/.f64 (+.f64 a1 a2) (.f64 (cos.f64 th) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (cos.f64 th))
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(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
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(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
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(.f64 (cos.f64 th) (.f64 (+.f64 a1 a2) (cos.f64 th)))
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(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(exp.f64 (log.f64 (+.f64 a1 a2)))
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -2 binary64))
(/.f64 a2 #s(literal -2 binary64))
(pow.f64 a2 #s(literal -2 binary64))
(pow.f64 a2 #s(literal 1/3 binary64))
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal -2 binary64)))
(exp.f64 (+.f64 (log.f64 a2) #s(literal 0 binary64)))
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 #s(literal -2 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 binary64))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -2 binary64)))

Outputs
(*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) a1)) (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)) (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) a1)))
(+.f64 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)))))
(fma.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 5 binary64)))))))))
(fma.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 5 binary64)))))))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) a1)) (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)
(.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 a2 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 a1 #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 a2 (+.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))))
(.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))))
(.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 a1 #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))))
(.f64 a2 (+.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (neg.f64 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 a2))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(.f64 (neg.f64 a2) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 a2))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))))))
(.f64 (neg.f64 a2) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 a1 #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 a2 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))))
(.f64 (neg.f64 a2) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 a1 #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))))
(.f64 a2 (neg.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) a2)) (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))
(+.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))))
(fma.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) a2)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))
(+.f64 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 5 binary64)))))))))
(fma.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) a2)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))
(*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))))
(.f64 a1 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))))
(.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a1 #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))))
(.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 a2 #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))))
(.f64 a1 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))))
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(pow.f64 a1 #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
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(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
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(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
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(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 a2 #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 a1 #s(literal 2 binary64))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(pow.f64 a1 #s(literal 2 binary64))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
a1
(+.f64 a1 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) a1)
(+.f64 a1 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a1)))))
(+.f64 a1 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a1))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a1)) a1)
(+.f64 a1 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a1)))))
(+.f64 a1 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 a1 #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) a1))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) a1)) a1)
a2
(.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(*.f64 a2 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
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(*.f64 #s(literal -1 binary64) a2)
(neg.f64 a2)
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(.f64 (neg.f64 a2) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))
(.f64 a2 (neg.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 a2 #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))))
a2
(+.f64 a2 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2) a2)
(+.f64 a2 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a2)))))
(+.f64 a2 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a2))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) a2)) a2)
(+.f64 a2 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a2)))))
(+.f64 a2 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 a2 #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) a2))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) a2)) a2)
a1
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
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(.f64 a1 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))))
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(.f64 a1 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) a1)
(neg.f64 a1)
(.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))))
(.f64 (neg.f64 a1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 a1))
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(.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))) (neg.f64 a1))
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(.f64 (neg.f64 a1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))))
(.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 a1))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 th #s(literal 2 binary64)) #s(literal -1/24 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2))
(+.f64 a1 (+.f64 a2 (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2)))
(+.f64 (+.f64 a1 a2) (+.f64 a2 (*.f64 a2 #s(literal 2 binary64))))
(+.f64 (+.f64 a1 a2) (*.f64 a2 #s(literal 3 binary64)))
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a1 (+.f64 a2 (fma.f64 (neg.f64 a2) a2 a2)))
(+.f64 a2 (+.f64 a1 (fma.f64 a2 (neg.f64 a2) a2)))
(+.f64 a2 (+.f64 a1 (-.f64 a2 (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(-.f64 a1 a2)
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a1 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 (neg.f64 a2) (neg.f64 a1))
(-.f64 (neg.f64 a2) a1)
(+.f64 (neg.f64 a1) (neg.f64 a2))
(-.f64 (neg.f64 a2) a1)
(+.f64 (.f64 (+.f64 a1 a2) a1) (.f64 (+.f64 a1 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 (.f64 (+.f64 a1 a2) a2) (.f64 (+.f64 a1 a2) a1))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 (.f64 a2 (+.f64 a1 a2)) (.f64 a1 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
#s(literal 1 binary64)
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (fma.f64 a2 (-.f64 a2 a1) a1) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (-.f64 (neg.f64 a2) a1) (fma.f64 a2 (-.f64 a2 a1) a1))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 (+.f64 a1 #s(literal 1 binary64)) a2)))
(/.f64 (+.f64 a1 a2) (fma.f64 (+.f64 a1 #s(literal 1 binary64)) a2 a1))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
#s(literal 1 binary64)
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(cbrt.f64 (+.f64 a1 a2))
(neg.f64 (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(-.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)
(fma.f64 a2 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2))
(+.f64 a1 (+.f64 a2 (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2)))
(+.f64 (+.f64 a1 a2) (+.f64 a2 (*.f64 a2 #s(literal 2 binary64))))
(+.f64 (+.f64 a1 a2) (*.f64 a2 #s(literal 3 binary64)))
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a1 (+.f64 a2 (fma.f64 (neg.f64 a2) a2 a2)))
(+.f64 a2 (+.f64 a1 (fma.f64 a2 (neg.f64 a2) a2)))
(+.f64 a2 (+.f64 a1 (-.f64 a2 (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(-.f64 a1 a2)
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a1 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 (neg.f64 a2) (neg.f64 a1))
(-.f64 (neg.f64 a2) a1)
(+.f64 (neg.f64 a1) (neg.f64 a2))
(-.f64 (neg.f64 a2) a1)
(+.f64 (.f64 (+.f64 a1 a2) a1) (.f64 (+.f64 a1 a2) a2))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 (.f64 (+.f64 a1 a2) a2) (.f64 (+.f64 a1 a2) a1))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 (.f64 a2 (+.f64 a1 a2)) (.f64 a1 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
#s(literal 1 binary64)
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (fma.f64 a2 (-.f64 a2 a1) a1) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (-.f64 (neg.f64 a2) a1) (fma.f64 a2 (-.f64 a2 a1) a1))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 (+.f64 a1 #s(literal 1 binary64)) a2)))
(/.f64 (+.f64 a1 a2) (fma.f64 (+.f64 a1 #s(literal 1 binary64)) a2 a1))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
#s(literal 1 binary64)
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(cbrt.f64 (+.f64 a1 a2))
(neg.f64 (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(-.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)
(fma.f64 a2 a2 a1)
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 a1 (cos.f64 th))) (.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 a2 (cos.f64 th))))
(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (cos.f64 th))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (+.f64 a1 a2) (cos.f64 th))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (+.f64 a1 a2) (cos.f64 th))))
(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(*.f64 (+.f64 a1 a2) (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (cos.f64 th)))
(/.f64 (/.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (.f64 (cos.f64 th) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(/.f64 (/.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 a1 a2)) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(cos.f64 th)
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) #s(literal -2 binary64))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) #s(literal -2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (cos.f64 th))
(+.f64 a1 a2)
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 (+.f64 a1 a2) (cos.f64 th)))
#s(literal 1 binary64)
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
(.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (.f64 (+.f64 a1 a2) (cos.f64 th)) (.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (.f64 #s(literal -2 binary64) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))))
(.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (.f64 #s(literal -2 binary64) (fma.f64 a2 (-.f64 a2 a1) a1))))
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(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
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(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
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(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
#s(literal 1 binary64)
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
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(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(-.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)
(fma.f64 a2 a2 a1)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
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#s(literal 3/4 binary64)
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#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
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(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
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(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (cos.f64 th))))
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(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (cos.f64 th))))
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(/.f64 #s(literal 1 binary64) (cos.f64 th))
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(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (fma.f64 a2 (-.f64 a2 a1) a1)))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a1 a2)))
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(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(log.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)) #s(literal 3 binary64)))
(log.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)) #s(literal -3 binary64)))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a1 a2) (cos.f64 th))) #s(literal -2 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal -2 binary64))
(exp.f64 (-.f64 (log.f64 (+.f64 a1 a2)) (log.f64 (cos.f64 th))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2))
(+.f64 a1 (+.f64 a2 (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2)))
(+.f64 (+.f64 a1 a2) (+.f64 a2 (*.f64 a2 #s(literal 2 binary64))))
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(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
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(+.f64 a2 (+.f64 a1 (-.f64 a2 (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(-.f64 a1 a2)
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a1 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 (neg.f64 a2) (neg.f64 a1))
(-.f64 (neg.f64 a2) a1)
(+.f64 (neg.f64 a1) (neg.f64 a2))
(-.f64 (neg.f64 a2) a1)
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(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 (.f64 (+.f64 a1 a2) a2) (.f64 (+.f64 a1 a2) a1))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 (.f64 a2 (+.f64 a1 a2)) (.f64 a1 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal 2 binary64))
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(.f64 (+.f64 a1 a2) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
(*.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1))
(.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (fma.f64 a2 (-.f64 a2 a1) a1)))
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2))
(.f64 (+.f64 a1 a2) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
(*.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
#s(literal 1 binary64)
(/.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (fma.f64 a2 (-.f64 a2 a1) a1) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (-.f64 (neg.f64 a2) a1) (fma.f64 a2 (-.f64 a2 a1) a1))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 (+.f64 a1 #s(literal 1 binary64)) a2)))
(/.f64 (+.f64 a1 a2) (fma.f64 (+.f64 a1 #s(literal 1 binary64)) a2 a1))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
#s(literal 1 binary64)
(neg.f64 (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(-.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)
(fma.f64 a2 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2))
(+.f64 a1 (+.f64 a2 (fma.f64 (neg.f64 a2) #s(literal -2 binary64) a2)))
(+.f64 (+.f64 a1 a2) (+.f64 a2 (*.f64 a2 #s(literal 2 binary64))))
(+.f64 (+.f64 a1 a2) (*.f64 a2 #s(literal 3 binary64)))
(+.f64 (+.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a1 (+.f64 a2 (fma.f64 (neg.f64 a2) a2 a2)))
(+.f64 a2 (+.f64 a1 (fma.f64 a2 (neg.f64 a2) a2)))
(+.f64 a2 (+.f64 a1 (-.f64 a2 (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(-.f64 a1 a2)
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a1 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
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(+.f64 a1 a2)
(+.f64 (neg.f64 a2) (neg.f64 a1))
(-.f64 (neg.f64 a2) a1)
(+.f64 (neg.f64 a1) (neg.f64 a2))
(-.f64 (neg.f64 a2) a1)
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(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 (.f64 (+.f64 a1 a2) a2) (.f64 (+.f64 a1 a2) a1))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 (.f64 a2 (+.f64 a1 a2)) (.f64 a1 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(.f64 (+.f64 a1 a2) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
(*.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1))
(.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (fma.f64 a2 (-.f64 a2 a1) a1)))
(*.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2))
(.f64 (+.f64 a1 a2) (+.f64 a1 (.f64 a2 (-.f64 a2 a1))))
(*.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1))
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
#s(literal 1 binary64)
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(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) a1))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 (fma.f64 a2 (-.f64 a2 a1) a1) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (.f64 a2 (-.f64 a2 a1))) #s(literal -2 binary64)))
(/.f64 (+.f64 a1 a2) (.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 a1 a2) (*.f64 #s(literal -2 binary64) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (+.f64 a1 a2) (neg.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (-.f64 (neg.f64 a2) a1) (fma.f64 a2 (-.f64 a2 a1) a1))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (*.f64 (+.f64 a1 #s(literal 1 binary64)) a2)))
(/.f64 (+.f64 a1 a2) (fma.f64 (+.f64 a1 #s(literal 1 binary64)) a2 a1))
(/.f64 #s(literal -2 binary64) (+.f64 a1 a2))
(/.f64 #s(literal -2 binary64) (/.f64 (+.f64 a1 (*.f64 a2 (-.f64 a2 a1))) (+.f64 a1 a2)))
(.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (+.f64 a1 (.f64 a2 (-.f64 a2 a1)))))
(*.f64 (+.f64 a1 a2) (/.f64 #s(literal -2 binary64) (fma.f64 a2 (-.f64 a2 a1) a1)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
#s(literal 1 binary64)
(pow.f64 (+.f64 a1 a2) #s(literal -2 binary64))
(pow.f64 (+.f64 a1 a2) #s(literal 1/3 binary64))
(cbrt.f64 (+.f64 a1 a2))
(neg.f64 (+.f64 a1 a2))
(-.f64 (neg.f64 a2) a1)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(log.f64 (/.f64 #s(literal -2 binary64) (exp.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(+.f64 a1 a2)
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a1 (neg.f64 a2))
(-.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(fma.f64 #s(literal -2 binary64) a2 a1)
(fma.f64 a1 #s(literal -2 binary64) a2)
(fma.f64 #s(literal -2 binary64) a1 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)
(fma.f64 a2 a2 a1)
(-.f64 (exp.f64 (log1p.f64 a2)) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 a2)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 a2 #s(literal 1 binary64)))
(/.f64 a2 #s(literal -2 binary64))
(*.f64 a2 #s(literal -1/2 binary64))
(pow.f64 a2 #s(literal -2 binary64))
(pow.f64 a2 #s(literal 1/3 binary64))
(cbrt.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
a2
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(log1p.f64 (expm1.f64 a2))
a2
(exp.f64 (log.f64 a2))
a2
(exp.f64 (*.f64 (log.f64 a2) #s(literal -2 binary64)))
(pow.f64 a2 #s(literal -2 binary64))
(exp.f64 (+.f64 (log.f64 a2) #s(literal 0 binary64)))
a2
(+.f64 #s(literal -2 binary64) (cos.f64 th))
(+.f64 (cos.f64 th) #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(cos.f64 th)
(-.f64 (cos.f64 th) #s(literal -2 binary64))
(+.f64 (cos.f64 th) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (cos.f64 th))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
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(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) #s(literal -2 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(/.f64 #s(literal -2 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -2 binary64))
(/.f64 (cos.f64 th) (cos.f64 th))
#s(literal 1 binary64)
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
#s(literal 1 binary64)
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) th)) (cos.f64 #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))
(pow.f64 (cos.f64 th) #s(literal 1/3 binary64))
(cbrt.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(cos.f64 th)
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log.f64 (cos.f64 th)))
(-.f64 (cos.f64 th) #s(literal 1 binary64))
(+.f64 (cos.f64 th) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(cos.f64 th)
(exp.f64 (log.f64 (cos.f64 th)))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (+.f64 a1 a2)))
(cos.f64 th)
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -2 binary64)))
(pow.f64 (cos.f64 th) #s(literal -2 binary64))

eval130.0ms (1.7%)

Compiler: Compiled 20540 to 2825 computations (86.2% saved)

prune218.0ms (2.8%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	963	17	980
Fresh	3	5	8
Picked	3	2	5
Done	0	1	1
Total	969	25	994

Accuracy

100.0%

Counts

994 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	98.2%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
▶	2.9%	(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
	18.8%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	65.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	57.8%	(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
	99.6%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	57.8%	(.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))
✓	99.5%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))
	98.4%	(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	98.4%	(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
	98.5%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))
	75.8%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
	65.7%	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	45.7%	(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	44.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	44.0%	(.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	43.5%	(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	43.2%	(.f64 #s(literal 1/16 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	18.5%	(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	18.7%	(.f64 #s(literal -1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	18.8%	(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 633 to 441 computations (30.3% saved)

localize160.0ms (2%)

Algorithm

5×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 a2 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(*.f64 (+.f64 a1 a2) (cos.f64 th))
✓	cost-diff	0	(+.f64 a1 a2)
✓	cost-diff	0	(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
	cost-diff	-6272	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	-6272	(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	cost-diff	0	(*.f64 a2 a2)
	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(+.f64 a1 a2)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
✓	cost-diff	0	(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(+.f64 a1 a2)
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
✓	accuracy	99.8%	(*.f64 (+.f64 a1 a2) (cos.f64 th))
	accuracy	100.0%	(*.f64 a2 a2)
	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	100.0%	(+.f64 a1 a2)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
✓	accuracy	99.9%	(*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th))
✓	accuracy	99.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))

Rules

339×	`fma-define`
76×	`distribute-rgt-in`
58×	`distribute-lft-in`
54×	`associate-+r+`
45×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	145
1	26	145
2	46	145
3	115	145
4	191	145
5	217	145
0	10	41
1	17	41
0	12	95
1	22	95
2	36	95
3	47	95
0	14	103
1	19	103
2	44	103
3	159	103
4	288	103
5	469	103
6	620	103
7	737	103
8	818	103
9	824	103
0	15	86
1	20	86
2	33	86
3	55	86
4	58	86

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(cos.f64 th)
th
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
a2
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Outputs
(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(cos.f64 th)
th
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
a2
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Call 2

Inputs
(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(+.f64 a1 a2)
a1
a2
(*.f64 (+.f64 a1 a2) (cos.f64 th))
(cos.f64 th)
th

Outputs
(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (+.f64 a1 a2) (+.f64 a1 a2)))
(+.f64 a1 a2)
a1
a2
(*.f64 (+.f64 a1 a2) (cos.f64 th))
(cos.f64 th)
th

Call 3

Inputs
(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
#s(literal 1/8 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Outputs
(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/8 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))
#s(literal 1/8 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Call 4

Inputs
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
#s(literal 1 binary64)
(+.f64 a1 a2)
a1
a2

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
#s(literal 1 binary64)
(+.f64 a1 a2)
a1
a2

Call 5

Inputs
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
a1
(pow.f64 a2 #s(literal 2 binary64))
a2
#s(literal 2 binary64)
(cos.f64 th)
th

Outputs
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
a1
(pow.f64 a2 #s(literal 2 binary64))
a2
#s(literal 2 binary64)
(cos.f64 th)
th

Results

72.0ms

256×

valid

Compiler

Compiled 129 to 24 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 13.0ms (34.6% of total)

ival-cos: 7.0ms (18.6% of total)

ival-add: 4.0ms (10.6% of total)

ival-fma: 4.0ms (10.6% of total)

ival-sqrt: 4.0ms (10.6% of total)

ival-pow: 3.0ms (8% of total)

ival-div: 2.0ms (5.3% of total)

const: 1.0ms (2.7% of total)

backward-pass: 0.0ms (0% of total)

series35.0ms (0.4%)

Counts

12 → 258

Calls

Call 1

Inputs
#<alt (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))>
#<alt (*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th))>
#<alt (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 a1 a2))>
#<alt (+.f64 a1 a2)>
#<alt (.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (*.f64 (+.f64 a1 a2) (cos.f64 th))>
#<alt (.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>

Outputs
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))>
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#<alt (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/8 binary64) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))>
#<alt (+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))>
#<alt (+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))>
#<alt (*.f64 a1 (cos.f64 th))>
#<alt (.f64 a1 (+.f64 (cos.f64 th) (/.f64 (.f64 a2 (cos.f64 th)) a1)))>
#<alt (.f64 a1 (+.f64 (cos.f64 th) (/.f64 (.f64 a2 (cos.f64 th)) a1)))>
#<alt (.f64 a1 (+.f64 (cos.f64 th) (/.f64 (.f64 a2 (cos.f64 th)) a1)))>
#<alt (*.f64 a1 (cos.f64 th))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 th)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a2 (cos.f64 th)) a1)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 th)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a2 (cos.f64 th)) a1)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 th)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a2 (cos.f64 th)) a1)))))>
#<alt (*.f64 a1 (cos.f64 th))>
#<alt (+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))>
#<alt (+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))>
#<alt (+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (.f64 a2 (+.f64 (cos.f64 th) (/.f64 (.f64 a1 (cos.f64 th)) a2)))>
#<alt (.f64 a2 (+.f64 (cos.f64 th) (/.f64 (.f64 a1 (cos.f64 th)) a2)))>
#<alt (.f64 a2 (+.f64 (cos.f64 th) (/.f64 (.f64 a1 (cos.f64 th)) a2)))>
#<alt (*.f64 a2 (cos.f64 th))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 th)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a1 (cos.f64 th)) a2)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 th)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a1 (cos.f64 th)) a2)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 (.f64 #s(literal -1 binary64) (cos.f64 th)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a1 (cos.f64 th)) a2)))))>
#<alt (+.f64 a1 a2)>
#<alt (+.f64 a1 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 a1 a2)))))>
#<alt (+.f64 a1 (+.f64 a2 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 a1 a2)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 a1 a2)))))))>
#<alt (+.f64 a1 (+.f64 a2 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 a1 a2)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 a1 a2))) (.f64 #s(literal 1/24 binary64) (+.f64 a1 a2))))))))>
#<alt (*.f64 (cos.f64 th) (+.f64 a1 a2))>
#<alt (*.f64 (cos.f64 th) (+.f64 a1 a2))>
#<alt (*.f64 (cos.f64 th) (+.f64 a1 a2))>
#<alt (*.f64 (cos.f64 th) (+.f64 a1 a2))>
#<alt (*.f64 (cos.f64 th) (+.f64 a1 a2))>
#<alt (*.f64 (cos.f64 th) (+.f64 a1 a2))>
#<alt (*.f64 (cos.f64 th) (+.f64 a1 a2))>
#<alt (*.f64 (cos.f64 th) (+.f64 a1 a2))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 a1 (.f64 a2 (cos.f64 th)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (+.f64 (.f64 a1 (+.f64 (.f64 #s(literal 2 binary64) (.f64 a2 (cos.f64 th))) (.f64 a1 (cos.f64 th)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (+.f64 (.f64 a1 (+.f64 (.f64 #s(literal 2 binary64) (.f64 a2 (cos.f64 th))) (.f64 a1 (cos.f64 th)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 a2 (cos.f64 th)) a1))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a2 (cos.f64 th)) a1)) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a2 (cos.f64 th)) a1)) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 a2 (cos.f64 th)) a1))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (cos.f64 th))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) a1))) a1))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (cos.f64 th))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) a1))) a1))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 a1 (.f64 a2 (cos.f64 th)))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (+.f64 (.f64 a2 (+.f64 (.f64 #s(literal 2 binary64) (.f64 a1 (cos.f64 th))) (.f64 a2 (cos.f64 th)))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (+.f64 (.f64 a2 (+.f64 (.f64 #s(literal 2 binary64) (.f64 a1 (cos.f64 th))) (.f64 a2 (cos.f64 th)))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 a1 (cos.f64 th)) a2))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a1 (cos.f64 th)) a2)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a1 (cos.f64 th)) a2)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 a1 (cos.f64 th)) a2))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 a1 (cos.f64 th))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) a2))) a2))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 a1 (cos.f64 th))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) a2))) a2))))>
#<alt (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))))) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))))))) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (+.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	a2	@	-inf	(/ 1 (+ a1 a2))
2.0ms	th	@	-inf	(* (cos th) (* (pow a2 2) (sqrt 1/2)))
1.0ms	a2	@	0	(* (cos th) (* (pow a2 2) (sqrt 1/2)))
1.0ms	th	@	0	(* (cos th) (* (pow a2 2) (sqrt 1/2)))
1.0ms	th	@	inf	(* (cos th) (* (pow a2 2) (sqrt 1/2)))

rewrite199.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`log1p-expm1-u`
666×	`expm1-log1p-u`
200×	`associate-r`
174×	`add-cube-cbrt`
172×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	308
1	404	276
2	5255	276

Stop Event

1×	node limit

Counts

12 → 272

Calls

Call 1

Inputs
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))
(*.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
(+.f64 a1 a2)
(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a1 a2) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 a2 #s(literal 2 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th))))) #s(literal 1 binary64))
(pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))))
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(log.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/8 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(+.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) #s(literal 1 binary64))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (fma.f64 a1 a1 (.f64 a2 (-.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (-.f64 a1 a2))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 (-.f64 a2 a1))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)) (-.f64 a1 a2))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (+.f64 a1 a2) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a1 a2) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a1 a2))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) a1) (.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) a2))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) a2) (.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) a1))
(+.f64 (.f64 a1 (.f64 (cos.f64 th) (+.f64 a1 a2))) (.f64 a2 (.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (.f64 a2 (.f64 (cos.f64 th) (+.f64 a1 a2))) (.f64 a1 (.f64 (cos.f64 th) (+.f64 a1 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (-.f64 a1 a2))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (.f64 (cos.f64 th) (+.f64 a1 a2))) (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (cos.f64 th) (+.f64 a1 a2))) (-.f64 a1 a2))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (sqrt.f64 (cos.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 a1 a2) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 3 binary64)) (pow.f64 (+.f64 a1 a2) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (.f64 (pow.f64 a2 #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))) #s(literal 1 binary64))
(pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (cos.f64 th)) (.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 a2 a2)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (.f64 (cbrt.f64 a2) a2))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)))
(.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) a2))
(.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2))
(.f64 (.f64 a2 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (cbrt.f64 a2))
(sqrt.f64 (pow.f64 a2 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 a2 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a2 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a2)) #s(literal 1 binary64)))

simplify183.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-r`
649×	`associate-l`
488×	`fma-define`
372×	`*-commutative`
270×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	847	20857
1	2158	19368

Stop Event

1×	node limit

Counts

530 → 544

Calls

Call 1

Inputs
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
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(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (+.f64 a1 a2) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a1 a2) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a1 a2))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) a1) (.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) a2))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) a2) (.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) a1))
(+.f64 (.f64 a1 (.f64 (cos.f64 th) (+.f64 a1 a2))) (.f64 a2 (.f64 (cos.f64 th) (+.f64 a1 a2))))
(+.f64 (.f64 a2 (.f64 (cos.f64 th) (+.f64 a1 a2))) (.f64 a1 (.f64 (cos.f64 th) (+.f64 a1 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64)))) (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (-.f64 a1 a2))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 a2 #s(literal 3 binary64))) (.f64 (cos.f64 th) (+.f64 a1 a2))) (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (cos.f64 th) (+.f64 a1 a2))) (-.f64 a1 a2))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (+.f64 a1 a2) (sqrt.f64 (cos.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 a1 a2) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (+.f64 a1 a2)) #s(literal 3 binary64)) (pow.f64 (+.f64 a1 a2) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (pow.f64 (+.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (.f64 (pow.f64 a2 #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))) #s(literal 1 binary64))
(pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (cos.f64 th)) (.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 a2 a2)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (.f64 (cbrt.f64 a2) a2))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)))
(.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) a2))
(.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2))
(.f64 (.f64 a2 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (cbrt.f64 a2))
(sqrt.f64 (pow.f64 a2 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 a2 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a2 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a2)) #s(literal 1 binary64)))

Outputs
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
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a2
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(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 1 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 a2 a2)
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (.f64 (cbrt.f64 a2) a2))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))))
(.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) a2))
(pow.f64 a2 #s(literal 2 binary64))
(.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2))
(pow.f64 a2 #s(literal 2 binary64))
(.f64 (.f64 a2 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (cbrt.f64 a2))
(pow.f64 a2 #s(literal 2 binary64))
(sqrt.f64 (pow.f64 a2 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 a2 #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 a2 #s(literal 2 binary64))
(cbrt.f64 (pow.f64 a2 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 a2 #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)))
(pow.f64 a2 #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a2)) #s(literal 1 binary64)))
(pow.f64 a2 #s(literal 2 binary64))

eval109.0ms (1.4%)

Compiler: Compiled 13184 to 2296 computations (82.6% saved)

prune178.0ms (2.3%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	850	9	859
Fresh	1	16	17
Picked	3	2	5
Done	0	3	3
Total	854	30	884

Accuracy

100.0%

Counts

884 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	5.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1)
	98.2%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
✓	2.9%	(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
	2.9%	(/.f64 #s(literal 1 binary64) a2)
▶	3.6%	(/.f64 #s(literal 1 binary64) a1)
	65.2%	(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	18.8%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	65.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	44.5%	(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
	57.8%	(.f64 (+.f64 a1 a2) (.f64 a2 (cos.f64 th)))
▶	99.6%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	57.8%	(.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))
✓	99.5%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	98.4%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
	98.4%	(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	98.5%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))
	98.4%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
▶	75.6%	(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
	65.7%	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	45.7%	(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	44.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	44.0%	(.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	43.5%	(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	43.2%	(.f64 #s(literal 1/16 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	18.5%	(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	18.7%	(.f64 #s(literal -1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	18.8%	(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 681 to 483 computations (29.1% saved)

localize157.0ms (2%)

Algorithm

5×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
	cost-diff	0	(cos.f64 th)
	cost-diff	0	(+.f64 a1 a2)
✓	cost-diff	0	(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
✓	cost-diff	0	(.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))
	cost-diff	-6272	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	-6272	(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	cost-diff	0	(*.f64 a2 a2)
	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a1)
	cost-diff	0	(*.f64 a1 a1)
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
✓	accuracy	75.9%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
	accuracy	100.0%	(+.f64 a1 a2)
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
✓	accuracy	99.9%	(.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))
	accuracy	100.0%	(*.f64 a2 a2)
	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a1)
	accuracy	100.0%	(cos.f64 th)
	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.7%	(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
✓	accuracy	99.7%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Rules

378×	`fma-define`
72×	`distribute-lft-in`
69×	`distribute-rgt-in`
44×	`associate-+r+`
38×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	154
1	32	154
2	73	154
3	146	154
4	181	154
5	185	154
0	7	15
1	13	15
0	12	95
1	22	95
2	36	95
3	47	95
0	14	108
1	24	108
2	59	108
3	146	108
4	363	108
5	552	108
6	701	108
7	821	108
8	872	108
9	876	108
0	15	97
1	17	97

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(cos.f64 th)
th
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))
#s(literal 1/2 binary64)
(pow.f64 a2 #s(literal 4 binary64))
a2
#s(literal 4 binary64)

Outputs
(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(cos.f64 th)
th
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))
#s(literal 1/2 binary64)
(pow.f64 a2 #s(literal 4 binary64))
a2
#s(literal 4 binary64)

Call 2

Inputs
(.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 a2)
a1
a2
(cos.f64 th)
th

Outputs
(.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 a2)
a1
a2
(cos.f64 th)
th

Call 3

Inputs
(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
#s(literal -1/8 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Outputs
(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/8 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))
#s(literal -1/8 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Call 4

Inputs
(/.f64 #s(literal 1 binary64) a1)
#s(literal 1 binary64)
a1

Outputs
(/.f64 #s(literal 1 binary64) a1)
#s(literal 1 binary64)
a1

Call 5

Inputs
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(cos.f64 th)
th
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Outputs
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(cos.f64 th)
th
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Results

75.0ms

256×

valid

Compiler

Compiled 131 to 26 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 15.0ms (37.1% of total)

ival-pow: 12.0ms (29.7% of total)

ival-cos: 6.0ms (14.9% of total)

ival-add: 3.0ms (7.4% of total)

ival-div: 2.0ms (5% of total)

ival-sqrt: 2.0ms (5% of total)

const: 1.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

series23.0ms (0.3%)

Counts

10 → 168

Calls

Call 1

Inputs
#<alt (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))>
#<alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))>
#<alt (/.f64 #s(literal 1 binary64) a1)>
#<alt (.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))>
#<alt (*.f64 (+.f64 a1 a2) (+.f64 a1 a2))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))>
#<alt (.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))>
#<alt (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))>

Outputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))>
#<alt (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))>
#<alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
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#<alt (+.f64 (.f64 a1 (+.f64 a1 (.f64 #s(literal 2 binary64) a2))) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 a2 a1))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 a2 a1)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 a2 a1)) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 a2 a1))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) a2) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))) a1))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) a2) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))) a1))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 a1 a2)) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 a2 (+.f64 a2 (.f64 #s(literal 2 binary64) a1))) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 a2 (+.f64 a2 (.f64 #s(literal 2 binary64) a1))) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 a1 a2))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 a1 a2)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 a1 a2)) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 a1 a2))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) a1) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2))) a2))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) a1) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) a2))) a2))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (+.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	th	@	0	(* (* (pow 2 -1/2) (cos th)) (+ (* a1 a1) (* a2 a2)))
2.0ms	a1	@	0	(* (* (pow 2 -1/2) (cos th)) (+ (* a1 a1) (* a2 a2)))
0.0ms	a2	@	0	(* 1/2 (pow a2 4))
0.0ms	a1	@	0	(* -1/8 (+ (* a1 a1) (* a2 a2)))
0.0ms	a2	@	inf	(* 1/2 (pow a2 4))

rewrite190.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1202×	`log1p-expm1-u`
215×	`associate-r`
201×	`expm1-log1p-u`
200×	`add-cube-cbrt`
197×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	236
1	453	220
2	6142	220

Stop Event

1×	node limit

Counts

10 → 209

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(/.f64 #s(literal 1 binary64) a1)
(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))

Outputs
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cos.f64 th) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) a1))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a1))
(*.f64 (/.f64 #s(literal 1 binary64) a1) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a1)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 a1)) (cbrt.f64 (pow.f64 a1 #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 a1 #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 a1)))
(*.f64 (pow.f64 a1 #s(literal -1/2 binary64)) (pow.f64 a1 #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 a1) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 a1) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 a1) #s(literal -1 binary64)))
(pow.f64 a1 #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) a1) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 a1)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a1) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 a1 #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) a1))
(sqrt.f64 (pow.f64 a1 #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) a1)))
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(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))

simplify206.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

619×	`associate-r`
549×	`associate-l`
486×	`fma-define`
376×	`fma-neg`
301×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	664	15096
1	1738	14157
2	6512	14143

Stop Event

1×	node limit

Counts

377 → 382

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 a1 (.f64 a2 (cos.f64 th)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (.f64 a1 (+.f64 (.f64 #s(literal 2 binary64) (.f64 a2 (cos.f64 th))) (.f64 a1 (cos.f64 th)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (.f64 a1 (+.f64 (.f64 #s(literal 2 binary64) (.f64 a2 (cos.f64 th))) (.f64 a1 (cos.f64 th)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 a2 (cos.f64 th)) a1))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a2 (cos.f64 th)) a1)) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a2 (cos.f64 th)) a1)) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 a2 (cos.f64 th)) a1))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (cos.f64 th))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) a1))) a1))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (cos.f64 th))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) a1))) a1))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 a1 (.f64 a2 (cos.f64 th)))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (.f64 a2 (+.f64 (.f64 #s(literal 2 binary64) (.f64 a1 (cos.f64 th))) (.f64 a2 (cos.f64 th)))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (.f64 a2 (+.f64 (.f64 #s(literal 2 binary64) (.f64 a1 (cos.f64 th))) (.f64 a2 (cos.f64 th)))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 a1 (cos.f64 th)) a2))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a1 (cos.f64 th)) a2)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a1 (cos.f64 th)) a2)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))
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(pow.f64 (*.f64 (pow.f64 a2 #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 a2 #s(literal 8 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 th #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 th #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1/24 binary64)))))))
(+.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cos.f64 th))
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(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))

eval92.0ms (1.2%)

Compiler: Compiled 11929 to 1981 computations (83.4% saved)

prune165.0ms (2.1%)

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	728	4	732
Fresh	1	19	20
Picked	3	2	5
Done	0	5	5
Total	732	30	762

Accuracy

100.0%

Counts

762 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	5.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1)
	98.2%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
✓	2.9%	(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
	2.9%	(/.f64 #s(literal 1 binary64) a2)
✓	3.6%	(/.f64 #s(literal 1 binary64) a1)
	18.8%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	65.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	44.5%	(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
	57.8%	(.f64 (+.f64 a1 a2) (.f64 a2 (cos.f64 th)))
	99.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	57.8%	(.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th))
	99.6%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.5%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	65.7%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	98.4%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
	98.4%	(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	98.5%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))
	98.4%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
	65.7%	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	52.3%	(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
	45.7%	(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	44.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	44.0%	(.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	43.5%	(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	43.2%	(.f64 #s(literal 1/16 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	18.5%	(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	18.7%	(.f64 #s(literal -1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	18.8%	(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 855 to 389 computations (54.5% saved)

regimes116.0ms (1.5%)

Counts

46 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a1)
(/.f64 #s(literal 1 binary64) a2)
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1)
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/16 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 a2 (cos.f64 th)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

Outputs
(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))

Calls

8 calls:

18.0ms	a1
18.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
15.0ms	(cos.f64 th)
14.0ms	(*.f64 a2 a2)
13.0ms	a2

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes96.0ms (1.2%)

Counts

43 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a1)
(/.f64 #s(literal 1 binary64) a2)
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1)
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/16 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 a2 (cos.f64 th)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (cos.f64 th)))

Outputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Calls

7 calls:

16.0ms	(*.f64 a1 a1)
15.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
14.0ms	a2
12.0ms	a1
12.0ms	th

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes84.0ms (1.1%)

Counts

36 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a1)
(/.f64 #s(literal 1 binary64) a2)
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1)
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/16 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 a2 (cos.f64 th)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2)))

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Calls

7 calls:

20.0ms	th
12.0ms	a1
11.0ms	(cos.f64 th)
10.0ms	a2
10.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes48.0ms (0.6%)

Counts

25 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a1)
(/.f64 #s(literal 1 binary64) a2)
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1)
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/16 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 a2 (cos.f64 th)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Outputs
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))

Calls

6 calls:

9.0ms	(cos.f64 th)
8.0ms	a1
8.0ms	th
7.0ms	a2
7.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
98.4%	1	`a1`
98.4%	1	`a2`
98.4%	1	`th`
98.4%	1	`(cos.f64 th)`
98.4%	1	`(*.f64 a1 a1)`
98.4%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes44.0ms (0.6%)

Counts

23 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a1)
(/.f64 #s(literal 1 binary64) a2)
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1)
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/16 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 a2 (cos.f64 th)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 a2) (cos.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))

Outputs
(.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

6 calls:

8.0ms	(cos.f64 th)
8.0ms	a2
7.0ms	a1
7.0ms	th
6.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
69.6%	2	`a1`
76.2%	2	`a2`
78.7%	2	`th`
78.9%	2	`(cos.f64 th)`
69.6%	2	`(*.f64 a1 a1)`
76.2%	2	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes30.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a1)
(/.f64 #s(literal 1 binary64) a2)
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1)
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/16 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 a2 (cos.f64 th)))

Outputs
(.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th))

Calls

6 calls:

5.0ms	(*.f64 a2 a2)
5.0ms	th
5.0ms	a2
5.0ms	a1
5.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
57.8%	1	`a1`
57.8%	1	`(*.f64 a1 a1)`
57.8%	1	`a2`
57.8%	1	`(*.f64 a2 a2)`
57.8%	1	`th`
57.8%	1	`(cos.f64 th)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes23.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a1)
(/.f64 #s(literal 1 binary64) a2)
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1)
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/16 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Outputs
(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

5 calls:

5.0ms	(*.f64 a2 a2)
4.0ms	a2
4.0ms	th
4.0ms	a1
4.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
45.7%	1	`th`
45.7%	1	`a2`
45.7%	1	`(*.f64 a2 a2)`
45.7%	1	`(*.f64 a1 a1)`
45.7%	1	`a1`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes23.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a1)
(/.f64 #s(literal 1 binary64) a2)
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1)
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/16 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

5 calls:

6.0ms	(*.f64 a2 a2)
4.0ms	a2
4.0ms	a1
4.0ms	th
4.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
44.7%	1	`a2`
44.7%	1	`(*.f64 a2 a2)`
44.7%	1	`a1`
44.7%	1	`th`
44.7%	1	`(*.f64 a1 a1)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes20.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a1)
(/.f64 #s(literal 1 binary64) a2)
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1)
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal -1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/16 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/8 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Outputs
(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))

Calls

5 calls:

5.0ms	a2
4.0ms	th
4.0ms	a1
4.0ms	(*.f64 a2 a2)
3.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
44.5%	1	`a2`
44.5%	1	`(*.f64 a2 a2)`
44.5%	1	`a1`
44.5%	1	`(*.f64 a1 a1)`
44.5%	1	`th`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.8b remaining (-1.3%)

Threshold costs -0.8b (-1.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a1)
(/.f64 #s(literal 1 binary64) a2)
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))

Outputs
(/.f64 #s(literal 1 binary64) a1)

Calls

3 calls:

2.0ms	a1
2.0ms	a2
2.0ms	th

Results

Accuracy	Segments	Branch
3.6%	1	`a2`
3.6%	1	`th`
3.6%	1	`a1`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.688364321873346	0.719803895215709

Compiler

Compiled 27 to 17 computations (37% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative`
3×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	438
1	69	438

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 (cos.f64 th) #s(literal 3152519739159347/4503599627370496 binary64)) (.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th))
(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
(/.f64 #s(literal 1 binary64) a1)

Outputs
(.f64 (cos.f64 th) (.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)))
(if (<=.f64 (cos.f64 th) #s(literal 3152519739159347/4503599627370496 binary64)) (.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) #s(literal 3152519739159347/4503599627370496 binary64)) (.f64 (cos.f64 th) (.f64 a2 (+.f64 a2 a1))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (.f64 (+.f64 a1 a2) a2) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 (+.f64 a2 a1)))
(.f64 #s(literal 3/4 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) #s(literal 3/4 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(/.f64 #s(literal 1 binary64) a1)

soundness1.5s (18.8%)

Rules

1241×	`fma-define`
1086×	`log1p-expm1-u`
937×	`prod-diff`
808×	`log1p-expm1-u`
742×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	607	33709
1	1716	31190
2	5876	30810
0	38	423
1	638	423
0	22	217
1	301	192
2	3735	192
0	48	606
1	145	562
2	421	562
3	1139	562
4	2837	562
5	5639	562
6	6583	562
7	7394	562
8	7471	562
9	7487	562
0	847	20857
1	2158	19368
0	31	308
1	404	276
2	5255	276
0	664	15096
1	1738	14157
2	6512	14143

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 778 to 249 computations (68% saved)

preprocess100.0ms (1.3%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 1352 to 802 computations (40.7% saved)

Iter	Nodes	Cost
0	18	153
1	23	153
2	32	153
3	48	153
4	59	153
5	67	153
6	83	153
7	101	153
8	121	153
9	140	153
10	142	153
0	18	147
1	30	147
2	60	147
3	94	147
4	124	147
5	141	147
6	145	147

Iter	Nodes	Cost
0	19	145
1	26	145
2	46	145
3	115	145
4	191	145
5	217	145
0	10	41
1	17	41
0	12	95
1	22	95
2	36	95
3	47	95
0	14	103
1	19	103
2	44	103
3	159	103
4	288	103
5	469	103
6	620	103
7	737	103
8	818	103
9	824	103
0	15	86
1	20	86
2	33	86
3	55	86
4	58	86

Iter	Nodes	Cost
0	19	154
1	32	154
2	73	154
3	146	154
4	181	154
5	185	154
0	7	15
1	13	15
0	12	95
1	22	95
2	36	95
3	47	95
0	14	108
1	24	108
2	59	108
3	146	108
4	363	108
5	552	108
6	701	108
7	821	108
8	872	108
9	876	108
0	15	97
1	17	97

Iter	Nodes	Cost
0	18	153
1	23	153
2	32	153
3	48	153
4	59	153
5	67	153
6	83	153
7	101	153
8	121	153
9	140	153
10	142	153
0	18	147
1	30	147
2	60	147
3	94	147
4	124	147
5	141	147
6	145	147

Iter	Nodes	Cost
0	19	145
1	26	145
2	46	145
3	115	145
4	191	145
5	217	145
0	10	41
1	17	41
0	12	95
1	22	95
2	36	95
3	47	95
0	14	103
1	19	103
2	44	103
3	159	103
4	288	103
5	469	103
6	620	103
7	737	103
8	818	103
9	824	103
0	15	86
1	20	86
2	33	86
3	55	86
4	58	86

Iter	Nodes	Cost
0	19	154
1	32	154
2	73	154
3	146	154
4	181	154
5	185	154
0	7	15
1	13	15
0	12	95
1	22	95
2	36	95
3	47	95
0	14	108
1	24	108
2	59	108
3	146	108
4	363	108
5	552	108
6	701	108
7	821	108
8	872	108
9	876	108
0	15	97
1	17	97

analyze0.0ms (0%)

sample1.5s (18.8%)

preprocess219.0ms (2.8%)

explain403.0ms (5.1%)

eval2.0ms (0%)

prune1.0ms (0%)

localize93.0ms (1.2%)

series28.0ms (0.4%)

rewrite281.0ms (3.6%)

simplify230.0ms (2.9%)

eval46.0ms (0.6%)

prune69.0ms (0.9%)

localize416.0ms (5.3%)

series53.0ms (0.7%)

rewrite90.0ms (1.1%)

simplify353.0ms (4.5%)

eval130.0ms (1.7%)

prune218.0ms (2.8%)

localize160.0ms (2%)

series35.0ms (0.4%)

rewrite199.0ms (2.5%)

simplify183.0ms (2.3%)

eval109.0ms (1.4%)

prune178.0ms (2.3%)

localize157.0ms (2%)

series23.0ms (0.3%)

rewrite190.0ms (2.4%)

simplify206.0ms (2.6%)

eval92.0ms (1.2%)

prune165.0ms (2.1%)

regimes116.0ms (1.5%)

regimes96.0ms (1.2%)

regimes84.0ms (1.1%)

regimes48.0ms (0.6%)

regimes44.0ms (0.6%)

regimes30.0ms (0.4%)

regimes23.0ms (0.3%)

regimes23.0ms (0.3%)

regimes20.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

soundness1.5s (18.8%)

preprocess100.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	153
1	23	153
2	32	153
3	48	153
4	59	153
5	67	153
6	83	153
7	101	153
8	121	153
9	140	153
10	142	153
0	18	147
1	30	147
2	60	147
3	94	147
4	124	147
5	141	147
6	145	147

Iter	Nodes	Cost
0	19	145
1	26	145
2	46	145
3	115	145
4	191	145
5	217	145
0	10	41
1	17	41
0	12	95
1	22	95
2	36	95
3	47	95
0	14	103
1	19	103
2	44	103
3	159	103
4	288	103
5	469	103
6	620	103
7	737	103
8	818	103
9	824	103
0	15	86
1	20	86
2	33	86
3	55	86
4	58	86

Iter	Nodes	Cost
0	19	154
1	32	154
2	73	154
3	146	154
4	181	154
5	185	154
0	7	15
1	13	15
0	12	95
1	22	95
2	36	95
3	47	95
0	14	108
1	24	108
2	59	108
3	146	108
4	363	108
5	552	108
6	701	108
7	821	108
8	872	108
9	876	108
0	15	97
1	17	97