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)

sample1.7s (22.3%)

Results

1.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 914.0ms

ival-cos: 417.0ms (45.6% of total)

ival-mult: 273.0ms (29.9% of total)

ival-div: 86.0ms (9.4% of total)

ival-sqrt: 82.0ms (9% of total)

ival-add: 41.0ms (4.5% of total)

const: 13.0ms (1.4% of total)

backward-pass: 2.0ms (0.2% of total)

Bogosity

preprocess184.0ms (2.4%)

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)

explain126.0ms (1.6%)

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

78.0ms

512×

valid

Compiler

Compiled 142 to 38 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-cos: 14.0ms (35.9% of total)

ival-mult: 14.0ms (35.9% of total)

ival-div: 4.0ms (10.3% of total)

ival-sqrt: 4.0ms (10.3% of total)

ival-add: 2.0ms (5.1% of total)

const: 1.0ms (2.6% of total)

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

eval1.0ms (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)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 a1 a1)
✓	cost-diff	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	(cos.f64 th)
✓	cost-diff	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	cost-diff	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	(cos.f64 th)
✓	cost-diff	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Rules

29×	`fma-define`
25×	`*-commutative`
8×	`associate-/l*`
8×	`associate-*r/`
8×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	300
1	37	300
2	64	300
3	98	300
4	128	300
5	145	300
6	149	300

Stop Event

1×

saturated

Calls

Call 1

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

localize67.0ms (0.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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	99.0%	(/.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)))

Results

48.0ms

256×

valid

Compiler

Compiled 81 to 15 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 9.0ms (36.1% of total)

ival-cos: 6.0ms (24.1% of total)

ival-div: 3.0ms (12% of total)

ival-fma: 3.0ms (12% of total)

ival-sqrt: 2.0ms (8% of total)

ival-add: 1.0ms (4% of total)

const: 0.0ms (0% of total)

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

series30.0ms (0.4%)

Counts

9 → 164

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite320.0ms (4.2%)

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

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

simplify353.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

447×	`associate-r`
430×	`times-frac`
429×	`associate-l`
379×	`cube-prod`
270×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	523	20254
1	1200	18798
2	5690	18790

Stop Event

1×	node limit

Counts

457 → 298

Calls

Call 1

Inputs
(/.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 (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))))))
(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 a1 #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)))
(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)))))
(*.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)))))
(*.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 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)))))
(*.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)))))
(*.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 a1 #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)))
(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)))))
(/.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))))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a1 #s(literal 2 binary64))
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(/.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)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))

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

eval59.0ms (0.8%)

Compiler: Compiled 6796 to 1074 computations (84.2% saved)

prune57.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	350	10	360
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	351	11	362

Accuracy

100.0%

Counts

362 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	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)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	65.0%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	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)))
▶	99.3%	(.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)))
	99.6%	(*.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)))
	99.1%	(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	78.9%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
	65.1%	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 338 to 243 computations (28.1% saved)

simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	cost-diff	6784	(*.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))))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(pow.f64 a2 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
✓	cost-diff	0	(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #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	-6336	(*.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	(*.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))

Rules

656×	`fma-neg`
584×	`unsub-neg`
537×	`fma-define`
432×	`times-frac`
348×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	752
1	103	718
2	366	686
3	1265	686
4	2657	686
5	5129	686
6	7353	686

Stop Event

1×	node limit

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

localize219.0ms (2.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.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)))
✓	accuracy	99.0%	(*.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))))
✓	accuracy	99.0%	(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
✓	accuracy	99.6%	(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	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	99.6%	(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
✓	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	99.7%	(.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	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	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)))
✓	accuracy	99.6%	(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))

Results

163.0ms

256×

valid

Compiler

Compiled 233 to 31 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 17.0ms (32% of total)

ival-pow: 14.0ms (26.4% of total)

ival-div: 9.0ms (17% of total)

ival-cos: 6.0ms (11.3% of total)

ival-sqrt: 2.0ms (3.8% of total)

ival-neg: 2.0ms (3.8% of total)

ival-add: 1.0ms (1.9% of total)

const: 1.0ms (1.9% of total)

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

series77.0ms (1%)

Counts

18 → 212

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
30.0ms	th	@	inf	(/ (cos th) (pow 2 1/4))
7.0ms	a1	@	inf	(* (* (pow 2 -1/2) (cos th)) (+ (* a1 a1) (* a2 a2)))
3.0ms	a2	@	inf	(* (* (neg (cos th)) (/ 1 (neg (sqrt 2)))) (+ (* a1 a1) (* a2 a2)))
2.0ms	th	@	inf	(* (* (pow 2 -1/2) (cos th)) (+ (* a1 a1) (* a2 a2)))
1.0ms	a2	@	0	(/ (* (pow a2 2) (cos th)) (sqrt 2))

rewrite82.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

302×	`associate-r`
267×	`log1p-expm1-u`
267×	`expm1-log1p-u`
258×	`add-cube-cbrt`
256×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	402
1	616	402

Stop Event

1×	node limit

Counts

18 → 421

Calls

Call 1

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

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

simplify231.0ms (3%)

Algorithm

1×	egg-herbie

Rules

387×	`associate-+l+`
367×	`associate-+r+`
331×	`fma-define`
320×	`times-frac`
319×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	18632
1	1242	17780
2	4066	17102

Stop Event

1×	node limit

Counts

633 → 428

Calls

Call 1

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

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

eval89.0ms (1.2%)

Compiler: Compiled 11863 to 1754 computations (85.2% saved)

prune196.0ms (2.5%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	706	20	726
Fresh	1	4	5
Picked	3	2	5
Done	0	1	1
Total	710	27	737

Accuracy

100.0%

Counts

737 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(fma.f64 a2 a2 a1)
	64.6%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	3.0%	(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
	99.1%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	3.1%	(-.f64 (neg.f64 a2) a1)
	3.1%	(-.f64 a1 a2)
▶	5.2%	(+.f64 a2 a1)
▶	16.0%	(+.f64 a1 (*.f64 (neg.f64 a2) a2))
	24.4%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	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)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	65.0%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	46.0%	(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
	23.9%	(.f64 (+.f64 a2 a1) (.f64 #s(literal -2 binary64) (+.f64 a2 a1)))
✓	99.3%	(.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)))
▶	99.7%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	61.0%	(.f64 (.f64 a2 (cos.f64 th)) a2)
	61.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	65.1%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.1%	(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	60.9%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.2%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
	78.9%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
▶	65.1%	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	46.0%	(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	5.3%	(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
	3.4%	(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))

Compiler

Compiled 594 to 413 computations (30.5% saved)

simplify293.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 a1 a1)
	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	128	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	-6272	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	cost-diff	0	(*.f64 a2 a2)
	cost-diff	0	(*.f64 a1 a1)
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(neg.f64 a2)
✓	cost-diff	0	(*.f64 (neg.f64 a2) a2)
✓	cost-diff	64	(+.f64 a1 (*.f64 (neg.f64 a2) a2))
✓	cost-diff	0	(+.f64 a2 a1)
	cost-diff	0	(*.f64 a1 a1)
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))

Rules

2171×	`fma-define`
749×	`fma-neg`
399×	`distribute-lft-in`
324×	`distribute-rgt-in`
273×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	469
1	65	465
2	138	465
3	254	465
4	342	465
5	490	465
6	879	465
7	1237	465
8	2096	465
9	2914	465
10	4330	465
11	5006	465
12	5715	465
13	5956	465
14	6104	465
15	6302	465
16	6610	465
17	6716	465
18	7420	465
19	7420	465
20	7420	465
21	7420	465

Stop Event

1×

saturated

Calls

Call 1

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

localize104.0ms (1.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
	accuracy	99.6%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	accuracy	100.0%	(*.f64 a1 a1)
	accuracy	100.0%	(cos.f64 th)
	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.8%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	100.0%	(+.f64 a1 (*.f64 (neg.f64 a2) a2))
✓	accuracy	100.0%	(*.f64 (neg.f64 a2) a2)
✓	accuracy	100.0%	(neg.f64 a2)
✓	accuracy	100.0%	(+.f64 a2 a1)
	accuracy	100.0%	(cos.f64 th)
	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.7%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))

Results

73.0ms

256×

valid

Compiler

Compiled 125 to 23 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 13.0ms (36.4% of total)

ival-cos: 6.0ms (16.8% of total)

ival-sqrt: 5.0ms (14% of total)

ival-add: 4.0ms (11.2% of total)

ival-fma: 4.0ms (11.2% of total)

ival-div: 2.0ms (5.6% of total)

const: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

series18.0ms (0.2%)

Counts

9 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	th	@	0	(* (cos th) (+ (* a1 a1) (* a2 a2)))
0.0ms	a1	@	inf	(+ a2 a1)
0.0ms	th	@	0	(* (* (sqrt 1/2) (cos th)) (+ (* a1 a1) (* a2 a2)))
0.0ms	a2	@	inf	(* (neg a2) a2)
0.0ms	a1	@	0	(+ a1 (* (neg a2) a2))

rewrite178.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1133×	`log1p-expm1-u`
193×	`associate-r`
189×	`add-cube-cbrt`
188×	`expm1-log1p-u`
185×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	199
1	446	171
2	6166	171

Stop Event

1×	node limit

Counts

9 → 243

Calls

Call 1

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

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

simplify202.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-r`
533×	`associate-l`
505×	`fma-neg`
319×	`fma-define`
225×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	623	14969
1	1473	13754
2	6542	13737

Stop Event

1×	node limit

Counts

423 → 397

Calls

Call 1

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

Outputs
(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 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64)))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 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)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 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 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
a1
(+.f64 a1 a2)
(+.f64 a1 a2)
(+.f64 a1 a2)
a2
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
a2
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 (neg.f64 a2) (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a2))
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 (neg.f64 a2) (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a2))
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(*.f64 (neg.f64 a2) (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a2))
a2
(+.f64 a1 a2)
(+.f64 a1 a2)
(+.f64 a1 a2)
a1
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
a1
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 a1 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 a1 (neg.f64 (fma.f64 a2 (/.f64 #s(literal -1 binary64) a1) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 a1 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 a1 (neg.f64 (fma.f64 a2 (/.f64 #s(literal -1 binary64) a1) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 a1 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 a1 (neg.f64 (fma.f64 a2 (/.f64 #s(literal -1 binary64) a1) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
a1
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))) a1)))
(*.f64 a1 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))) a1)))
(*.f64 a1 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1))))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))) a1)))
(*.f64 a1 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)))
a1
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) (neg.f64 a1))
(*.f64 (fma.f64 a2 (/.f64 a2 a1) #s(literal -1 binary64)) (neg.f64 a1))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) (neg.f64 a1))
(*.f64 (fma.f64 a2 (/.f64 a2 a1) #s(literal -1 binary64)) (neg.f64 a1))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) a1)) (neg.f64 a1))
(*.f64 (fma.f64 a2 (/.f64 a2 a1) #s(literal -1 binary64)) (neg.f64 a1))
a1
(+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 a1 (*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (-.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
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(.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(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)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(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 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))

eval88.0ms (1.1%)

Compiler: Compiled 9502 to 1659 computations (82.5% saved)

prune106.0ms (1.4%)

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	640	5	645
Fresh	3	16	19
Picked	0	5	5
Done	0	3	3
Total	643	29	672

Accuracy

100.0%

Counts

672 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.6%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	3.0%	(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
	99.1%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	3.1%	(-.f64 (neg.f64 a2) a1)
	3.1%	(-.f64 a1 a2)
✓	5.2%	(+.f64 a2 a1)
	37.3%	(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
✓	16.0%	(+.f64 a1 (*.f64 (neg.f64 a2) a2))
▶	24.4%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	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)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	65.0%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	46.0%	(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
▶	23.9%	(.f64 (+.f64 a2 a1) (.f64 #s(literal -2 binary64) (+.f64 a2 a1)))
✓	99.3%	(.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)))
✓	99.7%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	61.0%	(.f64 (.f64 a2 (cos.f64 th)) a2)
	61.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	65.1%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.2%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))
✓	60.9%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	78.9%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
✓	65.1%	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	46.0%	(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	5.3%	(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
	3.4%	(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
	24.1%	(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
	5.2%	a2
▶	3.8%	a1

Compiler

Compiled 548 to 386 computations (29.6% saved)

simplify91.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 th #s(literal 2 binary64))
✓	cost-diff	0	(cos.f64 (*.f64 th #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
	cost-diff	0	(+.f64 a2 a1)
✓	cost-diff	0	(.f64 (+.f64 a2 a1) (.f64 #s(literal -2 binary64) (+.f64 a2 a1)))
✓	cost-diff	0	(-.f64 a1 a2)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
	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)))

Rules

987×	`unsub-neg`
947×	`fma-define`
621×	`fma-neg`
336×	`distribute-lft-in`
325×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	498
1	74	480
2	181	474
3	387	474
4	753	474
5	1487	474
6	3247	474
7	4089	474
8	5716	474

Stop Event

1×	node limit

Calls

Call 1

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

localize134.0ms (1.7%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 (*.f64 th #s(literal 2 binary64)))
	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.5%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	99.3%	(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
	accuracy	100.0%	(+.f64 a2 a1)
✓	accuracy	100.0%	(.f64 (+.f64 a2 a1) (.f64 #s(literal -2 binary64) (+.f64 a2 a1)))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
✓	accuracy	100.0%	(-.f64 a1 a2)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
	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	99.0%	(/.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))

Results

101.0ms

256×

valid

Compiler

Compiled 144 to 26 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 20.0ms (38.6% of total)

ival-cos: 12.0ms (23.1% of total)

ival-pow: 9.0ms (17.4% of total)

ival-div: 4.0ms (7.7% of total)

ival-add: 4.0ms (7.7% of total)

ival-sub: 2.0ms (3.9% of total)

const: 1.0ms (1.9% of total)

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

series31.0ms (0.4%)

Counts

12 → 225

Calls

Call 1

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

Outputs
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.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))))>
#<alt (+.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))))>
#<alt (+.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))))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (+.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)))))>
#<alt (/.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)))>
#<alt (/.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)))>
#<alt (/.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)))>
#<alt (/.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)))>
#<alt (/.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)))>
#<alt (/.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)))>
#<alt (/.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)))>
#<alt (/.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)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
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#<alt (cos.f64 (*.f64 #s(literal 2 binary64) th))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) th))>
#<alt (cos.f64 (*.f64 #s(literal 2 binary64) th))>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal 2 binary64) th)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 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 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 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 -1/3 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #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))))))>
#<alt (+.f64 (.f64 #s(literal -1 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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 #s(literal 2/45 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #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))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) (pow.f64 a2 #s(literal 2 binary64))))))>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	th	@	inf	(* (/ (cos th) (pow (pow 2 1/4) 2)) (+ (* a1 a1) (* a2 a2)))
1.0ms	a1	@	0	(* (/ (+ 1 (cos (* th 2))) -2) (+ (* a1 a1) (* a2 a2)))
1.0ms	a2	@	0	(* (/ (+ 1 (cos (* th 2))) -2) (+ (* a1 a1) (* a2 a2)))
1.0ms	th	@	inf	(* (/ (+ 1 (cos (* th 2))) -2) (+ (* a1 a1) (* a2 a2)))
1.0ms	th	@	0	(* (/ (+ 1 (cos (* th 2))) -2) (+ (* a1 a1) (* a2 a2)))

rewrite235.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

471×	`log1p-expm1-u`
237×	`expm1-log1p-u`
235×	`add-cube-cbrt`
232×	`add-exp-log`
231×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	289
1	518	261
2	7591	261

Stop Event

1×	node limit

Counts

12 → 347

Calls

Call 1

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

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

simplify235.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-define`
349×	`associate-/l*`
341×	`distribute-rgt-in`
338×	`distribute-lft-in`
308×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	991	23255
1	2642	21584

Stop Event

1×	node limit

Counts

572 → 605

Calls

Call 1

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

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

eval99.0ms (1.3%)

Compiler: Compiled 13719 to 2314 computations (83.1% saved)

prune132.0ms (1.7%)

Pruning

30 alts after pruning (20 fresh and 10 done)

	Pruned	Kept	Total
New	748	5	753
Fresh	1	15	16
Picked	2	3	5
Done	1	7	8
Total	752	30	782

Accuracy

100.0%

Counts

782 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.6%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	3.0%	(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
	99.1%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	3.1%	(-.f64 (neg.f64 a2) a1)
	3.1%	(-.f64 a1 a2)
	37.3%	(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
✓	16.0%	(+.f64 a1 (*.f64 (neg.f64 a2) a2))
✓	24.4%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	24.4%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	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)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	65.0%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	46.0%	(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
	23.9%	(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))
✓	99.3%	(.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)))
✓	99.7%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	61.0%	(.f64 (.f64 a2 (cos.f64 th)) a2)
	61.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	65.1%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.2%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))
✓	60.9%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	78.9%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
	2.8%	(*.f64 a1 #s(literal -2 binary64))
	5.3%	(*.f64 #s(literal 2 binary64) a2)
✓	65.1%	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	46.0%	(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	24.1%	(.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	3.4%	(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
	5.2%	a2
✓	3.8%	a1

Compiler

Compiled 743 to 354 computations (52.4% saved)

regimes104.0ms (1.4%)

Counts

43 → 1

Calls

Call 1

Inputs
a1
a2
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a1 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 a2 a1) (.f64 #s(literal -2 binary64) (+.f64 a2 a1)))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 a1)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.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 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 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 2 binary64)))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 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) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 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 (cos.f64 th) (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 (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) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #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)))

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

Calls

8 calls:

15.0ms	a1
14.0ms	(cos.f64 th)
13.0ms	th
13.0ms	a2
12.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.7%	1	`a1`
99.7%	1	`a2`
99.7%	1	`th`
99.7%	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)))`
99.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.7%	1	`(cos.f64 th)`
99.7%	1	`(*.f64 a1 a1)`
99.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes62.0ms (0.8%)

Counts

29 → 1

Calls

Call 1

Inputs
a1
a2
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a1 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 a2 a1) (.f64 #s(literal -2 binary64) (+.f64 a2 a1)))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 a1)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.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 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 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 2 binary64)))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

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

Calls

6 calls:

15.0ms	a1
11.0ms	(*.f64 a2 a2)
9.0ms	th
9.0ms	(cos.f64 th)
9.0ms	a2

Results

Accuracy	Segments	Branch
99.1%	1	`a1`
99.1%	1	`a2`
99.1%	1	`th`
99.1%	1	`(cos.f64 th)`
99.1%	1	`(*.f64 a1 a1)`
99.1%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes52.0ms (0.7%)

Counts

27 → 2

Calls

Call 1

Inputs
a1
a2
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a1 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 a2 a1) (.f64 #s(literal -2 binary64) (+.f64 a2 a1)))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 a1)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.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 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 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 2 binary64)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
69.3%	2	`a1`
77.3%	2	`a2`
79.7%	2	`th`
80.0%	2	`(cos.f64 th)`
69.3%	2	`(*.f64 a1 a1)`
77.3%	2	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes42.0ms (0.5%)

Counts

21 → 1

Calls

Call 1

Inputs
a1
a2
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a1 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 a2 a1) (.f64 #s(literal -2 binary64) (+.f64 a2 a1)))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 a1)
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
61.0%	1	`a1`
61.0%	1	`(*.f64 a1 a1)`
61.0%	1	`a2`
61.0%	1	`(*.f64 a2 a2)`
61.0%	1	`th`
61.0%	1	`(cos.f64 th)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes32.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

Inputs
a1
a2
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a1 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 a2 a1) (.f64 #s(literal -2 binary64) (+.f64 a2 a1)))
(neg.f64 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 a1)

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

Calls

5 calls:

7.0ms	a2
7.0ms	a1
6.0ms	th
6.0ms	(*.f64 a2 a2)
5.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
46.0%	1	`a2`
46.0%	1	`(*.f64 a2 a2)`
50.4%	2	`th`
46.0%	1	`a1`
46.0%	1	`(*.f64 a1 a1)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

Inputs
a1
a2
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a1 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 a2 a1) (.f64 #s(literal -2 binary64) (+.f64 a2 a1)))

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

Calls

1 calls:

6.0ms

th

Results

Accuracy	Segments	Branch
50.4%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

Inputs
a1
a2
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a1 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

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

Calls

1 calls:

5.0ms

th

Results

Accuracy	Segments	Branch
50.4%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

Inputs
a1
a2
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a1 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 a1 (*.f64 (+.f64 #s(literal 0 binary64) a2) a2))

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

Calls

1 calls:

5.0ms

th

Results

Accuracy	Segments	Branch
50.2%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

Inputs
a1
a2
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a1 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))

Outputs
(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))

Calls

3 calls:

5.0ms	th
4.0ms	a1
4.0ms	a2

Results

Accuracy	Segments	Branch
23.9%	1	`a2`
23.9%	1	`a1`
23.9%	1	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

Inputs
a1
a2
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a1 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))

Outputs
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))

Calls

3 calls:

6.0ms	a1
4.0ms	th
4.0ms	a2

Results

Accuracy	Segments	Branch
16.0%	1	`a2`
16.0%	1	`a1`
18.5%	2	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
a1
a2
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a1 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))

Outputs
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))

Calls

3 calls:

4.0ms	a1
4.0ms	th
4.0ms	a2

Results

Accuracy	Segments	Branch
5.3%	1	`a2`
5.3%	1	`a1`
5.3%	1	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
a1
a2
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a1 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(-.f64 (neg.f64 a2) a1)
(*.f64 #s(literal -2 binary64) (+.f64 a2 a1))

Outputs
(*.f64 #s(literal 2 binary64) a2)

Calls

3 calls:

3.0ms	a2
3.0ms	a1
3.0ms	th

Results

Accuracy	Segments	Branch
5.3%	1	`a2`
5.3%	1	`th`
5.3%	1	`a1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
a1
a2

Outputs
a2

Calls

3 calls:

2.0ms	a1
2.0ms	th
2.0ms	a2

Results

Accuracy	Segments	Branch
5.2%	1	`a1`
5.2%	1	`a2`
5.2%	1	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
a1

Outputs
a1

Calls

3 calls:

1.0ms	a1
1.0ms	th
1.0ms	a2

Results

Accuracy	Segments	Branch
3.8%	1	`a1`
3.8%	1	`a2`
3.8%	1	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6564231595104535	0.7892859568823622

Compiler

Compiled 27 to 17 computations (37% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	790.1509475719245	950.6931231361295

Results

6.0ms

48×

valid

Compiler

Compiled 91 to 65 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-cos: 2.0ms (46.6% of total)

ival-div: 1.0ms (23.3% of total)

ival-mult: 1.0ms (23.3% of total)

ival-add: 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)

bsearch30.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	0.0007653679471602585	16.48551721366866

Results

22.0ms

128×

valid

Compiler

Compiled 236 to 161 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 8.0ms (46.7% of total)

ival-cos: 4.0ms (23.3% of total)

ival-mult: 3.0ms (17.5% of total)

ival-add: 1.0ms (5.8% of total)

ival-sqrt: 1.0ms (5.8% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0007653679471602585	16.48551721366866

Results

15.0ms

128×

valid

Compiler

Compiled 220 to 137 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 4.0ms (36.9% of total)

ival-mult: 4.0ms (36.9% of total)

ival-div: 1.0ms (9.2% of total)

ival-add: 1.0ms (9.2% of total)

ival-sqrt: 1.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	790.1509475719245	950.6931231361295

Results

6.0ms

48×

valid

Compiler

Compiled 94 to 59 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-cos: 2.0ms (51.9% of total)

ival-mult: 1.0ms (25.9% of total)

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

ival-add: 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)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0007653679471602585	16.48551721366866

Results

15.0ms

128×

valid

Compiler

Compiled 180 to 129 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 4.0ms (38.2% of total)

ival-mult: 3.0ms (28.6% of total)

ival-sqrt: 2.0ms (19.1% of total)

ival-div: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative`
10×	`+-commutative`
8×	`sub-neg`
7×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	605
1	87	601
2	104	601
3	118	601
4	127	601
5	130	601
6	131	601

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(if (<=.f64 (cos.f64 th) #s(literal 3152519739159347/4503599627370496 binary64)) (.f64 (.f64 a2 (cos.f64 th)) a2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(if (<=.f64 th #s(literal 850 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (pow.f64 a2 #s(literal 2 binary64))))
(if (<=.f64 th #s(literal 8 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th #s(literal 8 binary64)) (.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th #s(literal 850 binary64)) (.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -2 binary64))))
(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))
(if (<=.f64 th #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) (-.f64 a1 a2)) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(*.f64 #s(literal 2 binary64) a2)
a2
a1

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(if (<=.f64 (cos.f64 th) #s(literal 3152519739159347/4503599627370496 binary64)) (.f64 (.f64 a2 (cos.f64 th)) a2) (.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 a2 (.f64 (cos.f64 th) a2)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 a2 (.f64 (cos.f64 th) a2))
(if (<=.f64 th #s(literal 850 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (pow.f64 a2 #s(literal 2 binary64))))
(if (<=.f64 th #s(literal 850 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (pow.f64 a2 #s(literal 2 binary64))))
(if (<=.f64 th #s(literal 8 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th #s(literal 8 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th #s(literal 8 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a2 (neg.f64 a2)) (.f64 a1 a1)))
(if (<=.f64 th #s(literal 8 binary64)) (.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th #s(literal 8 binary64)) (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 th #s(literal 8 binary64)) (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (-.f64 (.f64 a2 (neg.f64 a2)) (*.f64 a1 a1)))
(if (<=.f64 th #s(literal 850 binary64)) (.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (.f64 (+.f64 a2 a1) (*.f64 a2 #s(literal -2 binary64))))
(if (<=.f64 th #s(literal 850 binary64)) (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (.f64 (+.f64 a1 a2) (*.f64 a2 #s(literal -2 binary64))))
(.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -2 binary64)))
(.f64 (+.f64 a1 a2) (.f64 a2 #s(literal -2 binary64)))
(if (<=.f64 th #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) (-.f64 a1 a2)) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
(if (<=.f64 th #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) (-.f64 a1 a2)) (+.f64 a1 (.f64 a2 (neg.f64 a2))))
(if (<=.f64 th #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) (-.f64 a1 a2)) (-.f64 a1 (.f64 a2 a2)))
(*.f64 #s(literal -2 binary64) (-.f64 a1 a2))
(*.f64 #s(literal 2 binary64) a2)
(*.f64 a2 #s(literal 2 binary64))
a2
a1

soundness1.2s (16.2%)

Rules

1241×	`fma-define`
937×	`prod-diff`
808×	`log1p-expm1-u`
732×	`expm1-log1p-u`
680×	`times-frac`

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
0	22	217
1	301	192
2	3735	192
0	991	23255
1	2642	21584
0	623	14969
1	1473	13754
2	6542	13737
0	37	402
1	616	402
0	462	18632
1	1242	17780
2	4066	17102

Stop Event

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

Compiler

Compiled 825 to 268 computations (67.5% saved)

preprocess106.0ms (1.4%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 1248 to 728 computations (41.7% saved)

analyze0.0ms (0%)

sample1.7s (22.3%)

preprocess184.0ms (2.4%)

explain126.0ms (1.6%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.2%)

localize67.0ms (0.9%)

series30.0ms (0.4%)

rewrite320.0ms (4.2%)

simplify353.0ms (4.6%)

eval59.0ms (0.8%)

prune57.0ms (0.7%)

simplify101.0ms (1.3%)

localize219.0ms (2.8%)

series77.0ms (1%)

rewrite82.0ms (1.1%)

simplify231.0ms (3%)

eval89.0ms (1.2%)

prune196.0ms (2.5%)

simplify293.0ms (3.8%)

localize104.0ms (1.3%)

series18.0ms (0.2%)

rewrite178.0ms (2.3%)

simplify202.0ms (2.6%)

eval88.0ms (1.1%)

prune106.0ms (1.4%)

simplify91.0ms (1.2%)

localize134.0ms (1.7%)

series31.0ms (0.4%)

rewrite235.0ms (3.1%)

simplify235.0ms (3.1%)

eval99.0ms (1.3%)

prune132.0ms (1.7%)

regimes104.0ms (1.4%)

regimes62.0ms (0.8%)

regimes52.0ms (0.7%)

regimes42.0ms (0.5%)

regimes32.0ms (0.4%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes15.0ms (0.2%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch8.0ms (0.1%)

bsearch30.0ms (0.4%)

bsearch21.0ms (0.3%)

bsearch8.0ms (0.1%)

bsearch20.0ms (0.3%)

simplify13.0ms (0.2%)

soundness1.2s (16.2%)

preprocess106.0ms (1.4%)

end0.0ms (0%)

Profiling