Metrics for Migdal et al, Equation (64)

analyze1.0ms (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)

sample1.1s (9.1%)

Results

887.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 628.0ms

ival-mult: 234.0ms (37.3% of total)

ival-cos: 211.0ms (33.6% of total)

ival-sqrt: 63.0ms (10% of total)

ival-div: 62.0ms (9.9% of total)

ival-add: 42.0ms (6.7% of total)

const: 13.0ms (2.1% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess79.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1362×	`times-frac`
1322×	`fmsub-define`
1238×	`fnmsub-define`
1094×	`fmm-def`
862×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	133
1	137	123
2	413	123
3	1240	120
4	3470	120
5	7725	120
0	12	13
1	26	12
2	57	12
3	92	12
4	118	12
5	122	12
0	122	12

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

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

Call 2

Inputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2))))
(+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2)))
(neg (+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
(neg (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2)))))
(neg (+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2))))
(+ (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)))
(+ (* (/ (cos a1) (sqrt 2)) (* th th)) (* (/ (cos a1) (sqrt 2)) (* a2 a2)))
(+ (* (/ (cos a2) (sqrt 2)) (* a1 a1)) (* (/ (cos a2) (sqrt 2)) (* th th)))

Outputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(* (* (cos th) (rsqrt 2)) (fma a1 a1 (* a2 a2)))
(+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(* (* (cos th) (rsqrt 2)) (fma a1 a1 (* a2 a2)))
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2))))
(* (* (cos th) (rsqrt 2)) (fma a1 a1 (* a2 a2)))
(+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2)))
(* (* (cos th) (rsqrt 2)) (fma a1 a1 (* a2 a2)))
(neg (+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
(* (* (cos th) (rsqrt 2)) (fnmsub a1 a1 (* a2 a2)))
(neg (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2)))))
(* (* (cos th) (rsqrt 2)) (fnmsub a1 a1 (* a2 a2)))
(neg (+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2))))
(* (* (cos th) (rsqrt 2)) (fnmsub a1 a1 (* a2 a2)))
(+ (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)))
(* (* (cos th) (rsqrt 2)) (fma a1 a1 (* a2 a2)))
(+ (* (/ (cos a1) (sqrt 2)) (* th th)) (* (/ (cos a1) (sqrt 2)) (* a2 a2)))
(* (cos a1) (/ (fma th th (* a2 a2)) (sqrt 2)))
(+ (* (/ (cos a2) (sqrt 2)) (* a1 a1)) (* (/ (cos a2) (sqrt 2)) (* th th)))
(* (cos a2) (/ (fma th th (* a1 a1)) (sqrt 2)))

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

explain119.0ms (0.9%)

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

77.0ms

512×

valid

Compiler

Compiled 142 to 38 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 16.0ms (38.7% of total)

ival-cos: 13.0ms (31.5% of total)

ival-sqrt: 6.0ms (14.5% of total)

ival-div: 4.0ms (9.7% of total)

ival-add: 3.0ms (7.3% of total)

const: 1.0ms (2.4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 16 to 11 computations (31.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.6%

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

▶

99.6%

(+.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)))

Compiler

Compiled 38 to 23 computations (39.5% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	0	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
✓	cost-diff	13056	(+.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)))

Rules

100×	`-lowering-.f32`
100×	`-lowering-.f64`
60×	`fma-lowering-fma.f32`
60×	`fma-define`
60×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	90
1	37	90
2	72	90
3	104	90
4	121	90
5	125	90
0	125	90

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(* (/ (cos th) (sqrt 2)) (* a1 a1))
(/ (cos th) (sqrt 2))
(cos th)
th
(sqrt 2)
2
(* a1 a1)
a1
(* (/ (cos th) (sqrt 2)) (* a2 a2))
(* a2 a2)
a2
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(* (cos th) (+ (* a1 a1) (* a2 a2)))
(cos th)
th
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(sqrt 2)
2

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

localize71.0ms (0.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	99.7%	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.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)))
✓	accuracy	99.8%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
✓	accuracy	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

49.0ms

256×

valid

Compiler

Compiled 104 to 16 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (34.6% of total)

ival-cos: 6.0ms (26% of total)

ival-div: 4.0ms (17.3% of total)

ival-add: 2.0ms (8.7% of total)

ival-sqrt: 2.0ms (8.7% of total)

const: 1.0ms (4.3% of total)

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

series31.0ms (0.2%)

Counts

8 → 204

Calls

Call 1

Inputs
#<alt (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))>
#<alt (* (/ (cos th) (sqrt 2)) (* a1 a1))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (cos th)>
#<alt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))>
#<alt (* (cos th) (+ (* a1 a1) (* a2 a2)))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (* (/ (cos th) (sqrt 2)) (* a2 a2))>

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

Calls

51 calls:

Time	Variable		Point	Expression
11.0ms	a2	@	-inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	-inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	-inf	(/ (cos th) (sqrt 2))
1.0ms	a1	@	0	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

rewrite371.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

5250×	`-lowering-.f32`
5250×	`-lowering-.f64`
2132×	`/-lowering-/.f32`
2132×	`/-lowering-/.f64`
1422×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	79	64
2	721	64
0	8791	64

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 518

Calls

Call 1

Inputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(* (/ (cos th) (sqrt 2)) (* a1 a1))
(/ (cos th) (sqrt 2))
(cos th)
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(* (cos th) (+ (* a1 a1) (* a2 a2)))
(+ (* a1 a1) (* a2 a2))
(* (/ (cos th) (sqrt 2)) (* a2 a2))

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

simplify425.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4708×	`-lowering-.f32`
4708×	`-lowering-.f64`
3800×	`+-lowering-+.f64`
3800×	`+-lowering-+.f32`
1754×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	2679
1	568	2231
2	2322	2081
3	5921	2057
0	8638	2057

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ 1 (sqrt 2))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(+ (pow a1 2) (pow a2 2))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (pow a2 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(* (pow a2 2) (cos th))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (cos th))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ (pow a2 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))

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

eval97.0ms (0.8%)

Compiler: Compiled 20887 to 1198 computations (94.3% saved)

prune89.0ms (0.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	774	14	788
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	776	14	790

Accuracy

100.0%

Counts

790 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	63.8%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	59.2%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
▶	62.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	63.0%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	99.3%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	99.3%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	99.1%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	99.6%	(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2)))
▶	99.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	99.4%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (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))))
▶	99.6%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
▶	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.6%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th))

Compiler

Compiled 524 to 360 computations (31.3% saved)

simplify214.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(cos.f64 th)
✓	cost-diff	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓	cost-diff	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	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	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	(.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))))))
✓	cost-diff	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	(*.f64 a2 a2)
✓	cost-diff	(*.f64 a1 a1)
✓	cost-diff	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	(*.f64 a1 a1)
✓	cost-diff	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))

Rules

3964×	`+-lowering-+.f64`
3964×	`+-lowering-+.f32`
2568×	`-lowering-.f32`
2568×	`-lowering-.f64`
1856×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	315
1	86	298
2	289	298
3	932	298
4	3204	298
5	7169	298
6	7689	298
7	7834	298
8	7899	298
9	7899	298
0	8503	298

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(sqrt 2)
2
(cos th)
th
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(sqrt 2)
2
(/ (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (+ (* a1 a1) (* a2 a2)))
(+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720)))))))
1
(* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))
th
(* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720)))))
(+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))
-1/2
(* (* th th) (+ 1/24 (* (* th th) -1/720)))
(* th th)
(+ 1/24 (* (* th th) -1/720))
1/24
(* (* th th) -1/720)
-1/720
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(sqrt 2)
2
(* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
(/ (cos th) (sqrt 2))
(cos th)
th
(sqrt 2)
2
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(* (pow 2 -1/2) (* (cos th) (+ (* a1 a1) (* a2 a2))))
(pow 2 -1/2)
2
-1/2
(* (cos th) (+ (* a1 a1) (* a2 a2)))
(cos th)
th
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2

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

localize184.0ms (1.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(.f64 (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)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 th th) #s(literal -1/720 binary64))
✓	accuracy	99.8%	(.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))
✓	accuracy	96.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))

Results

116.0ms

256×

valid

Compiler

Compiled 332 to 31 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 26.0ms (44.8% of total)

...c/correct-round.rkt:119:19: 8.0ms (13.8% of total)

ival-cos: 6.0ms (10.3% of total)

ival-div: 5.0ms (8.6% of total)

ival-add: 5.0ms (8.6% of total)

ival-pow: 5.0ms (8.6% of total)

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

const: 1.0ms (1.7% of total)

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

series41.0ms (0.3%)

Counts

18 → 360

Calls

Call 1

Inputs
#<alt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))>
#<alt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (* a1 a1)>
#<alt (* a2 a2)>
#<alt (/ (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))>
#<alt (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (+ (* a1 a1) (* a2 a2)))>
#<alt (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720)))))))>
#<alt (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))>
#<alt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (cos th)>
#<alt (sqrt 2)>
#<alt (* (pow 2 -1/2) (* (cos th) (+ (* a1 a1) (* a2 a2))))>
#<alt (pow 2 -1/2)>
#<alt (* (cos th) (+ (* a1 a1) (* a2 a2)))>
#<alt (* (* th th) (+ 1/24 (* (* th th) -1/720)))>
#<alt (* (* th th) -1/720)>

Outputs
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (* -1/720 (/ (* (pow th 6) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))>
#<alt (* (pow th 6) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))))>
#<alt (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))))))>
#<alt (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))) (+ (/ (pow a1 2) (* (pow th 6) (sqrt 2))) (/ (pow a2 2) (* (pow th 6) (sqrt 2))))))))>
#<alt (* -1/720 (/ (* (pow th 6) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))>
#<alt (* (pow th 6) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))))>
#<alt (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))))))>
#<alt (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))) (+ (/ (pow a1 2) (* (pow th 6) (sqrt 2))) (/ (pow a2 2) (* (pow th 6) (sqrt 2))))))))>
#<alt (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))>
#<alt (+ (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))>
#<alt (+ (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))>
#<alt (* -1/720 (* (pow th 6) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (pow th 6) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))>
#<alt (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))))))>
#<alt (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))) (+ (/ (pow a1 2) (pow th 6)) (/ (pow a2 2) (pow th 6)))))))>
#<alt (* -1/720 (* (pow th 6) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (pow th 6) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))>
#<alt (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))))))>
#<alt (* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))) (+ (/ (pow a1 2) (pow th 6)) (/ (pow a2 2) (pow th 6)))))))>
#<alt (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))>
#<alt (+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))>
#<alt (+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))>
#<alt (+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))>
#<alt (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))>
#<alt (* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))>
#<alt (* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))>
#<alt (+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))>
#<alt (+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))>
#<alt (+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))>
#<alt (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))>
#<alt (* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))>
#<alt (* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a2 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (* -1/720 (pow th 6))>
#<alt (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))>
#<alt (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))>
#<alt (* (pow th 6) (- (+ (* 1/24 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/720 (/ 1/2 (pow th 4)))))>
#<alt (* -1/720 (pow th 6))>
#<alt (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))>
#<alt (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))>
#<alt (* (pow th 6) (- (+ (* 1/24 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/720 (/ 1/2 (pow th 4)))))>
#<alt (* -1/2 (pow th 2))>
#<alt (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))>
#<alt (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))>
#<alt (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))>
#<alt (* -1/720 (pow th 6))>
#<alt (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))>
#<alt (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))>
#<alt (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))>
#<alt (* -1/720 (pow th 6))>
#<alt (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))>
#<alt (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))>
#<alt (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ 1 (sqrt 2))>
#<alt (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))>
#<alt (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* -1/2 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))))))>
#<alt (+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))))))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 1/2)))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (pow a2 2) (cos th))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (cos th))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* 1/24 (pow th 2))>
#<alt (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))>
#<alt (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))>
#<alt (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))>
#<alt (* -1/720 (pow th 4))>
#<alt (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))>
#<alt (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))>
#<alt (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))>
#<alt (* -1/720 (pow th 4))>
#<alt (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))>
#<alt (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))>
#<alt (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))>
#<alt (* -1/720 (pow th 2))>
#<alt (* -1/720 (pow th 2))>
#<alt (* -1/720 (pow th 2))>
#<alt (* -1/720 (pow th 2))>
#<alt (* -1/720 (pow th 2))>
#<alt (* -1/720 (pow th 2))>
#<alt (* -1/720 (pow th 2))>
#<alt (* -1/720 (pow th 2))>
#<alt (* -1/720 (pow th 2))>
#<alt (* -1/720 (pow th 2))>
#<alt (* -1/720 (pow th 2))>
#<alt (* -1/720 (pow th 2))>

Calls

90 calls:

Time	Variable		Point	Expression
18.0ms	th	@	inf	(/ (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
4.0ms	a1	@	0	(/ (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
1.0ms	a2	@	0	(/ (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
1.0ms	a1	@	inf	(/ (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
1.0ms	a2	@	inf	(/ (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))

rewrite515.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3452×	`/-lowering-/.f32`
3452×	`/-lowering-/.f64`
3242×	`-lowering-.f32`
3242×	`-lowering-.f64`
1928×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	185
1	168	172
2	1504	172
0	8532	172

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1090

Calls

Call 1

Inputs
(* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
(* a2 a2)
(/ (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (+ (* a1 a1) (* a2 a2)))
(+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720)))))))
(* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))
(* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
(/ (cos th) (sqrt 2))
(cos th)
(sqrt 2)
(* (pow 2 -1/2) (* (cos th) (+ (* a1 a1) (* a2 a2))))
(pow 2 -1/2)
(* (cos th) (+ (* a1 a1) (* a2 a2)))
(* (* th th) (+ 1/24 (* (* th th) -1/720)))
(* (* th th) -1/720)

Outputs
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a1 (.f64 a1 (cos.f64 th)))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(-.f64 (/.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (/.f64 (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(fma.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a1 (.f64 a1 (cos.f64 th))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(fma.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (cos.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (cos.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (cos.f64 th) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))) (+.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (-.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (*.f64 a1 a1)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (*.f64 a1 a1)) (cos.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 a1 a1)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (-.f64 #s(literal 0 binary64) (cos.f64 th))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (cos.f64 th)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 #s(literal 0 binary64) (cos.f64 th))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (neg.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (neg.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (neg.f64 (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (neg.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/720 binary64))) (+.f64 (.f64 th (.f64 th #s(literal -1/720 binary64))) #s(literal -1/24 binary64)))) (.f64 (.f64 th th) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (*.f64 th th)) #s(literal -1/373248000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 th th))) (.f64 (.f64 th th) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/518400 binary64))))))
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(/.f64 (.f64 th th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 th (*.f64 th #s(literal -1/720 binary64))))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/24 binary64) th) th) (.f64 (.f64 #s(literal 1/24 binary64) th) th)) (.f64 (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64))))))) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) th) th) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64)))))))
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(/.f64 (.f64 (.f64 th th) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/518400 binary64)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 th th))))
(/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))) (.f64 th th)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/720 binary64))) (+.f64 (.f64 th (*.f64 th #s(literal -1/720 binary64))) #s(literal -1/24 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/518400 binary64))) (.f64 th th)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 th th))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 th th)))) (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 th th)))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 #s(literal 1/24 binary64) th) th) (.f64 (.f64 #s(literal 1/24 binary64) th) th)) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64)))))) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) th) th) (.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/720 binary64))))))))))
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(/.f64 (neg.f64 (.f64 (.f64 th th) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/518400 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 th th)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))) (.f64 th th))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/720 binary64))) (+.f64 (.f64 th (*.f64 th #s(literal -1/720 binary64))) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/518400 binary64))) (.f64 th th))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 th th)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 th th)))) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 th th))))) (+.f64 (.f64 (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64)))))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/24 binary64) th) th) (.f64 (.f64 #s(literal 1/24 binary64) th) th)) (.f64 (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64))))) (.f64 (*.f64 #s(literal 1/24 binary64) th) th)))))
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(.f64 th (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64))))))
(.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))) (.f64 th th))
(.f64 (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64))))) th)
(.f64 (+.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 th th)))) (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 th th))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 #s(literal 1/24 binary64) th) th) (.f64 (.f64 #s(literal 1/24 binary64) th) th)) (-.f64 (.f64 (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64)))))) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) th) th) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64))))))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/24 binary64) th) th) (.f64 (.f64 #s(literal 1/24 binary64) th) th)) (.f64 (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64))))) (.f64 th (.f64 th (.f64 th (.f64 th #s(literal -1/720 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) th) th) (.f64 th (.f64 th (.f64 th (*.f64 th #s(literal -1/720 binary64))))))))
(.f64 (.f64 (.f64 th th) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/720 binary64))) (+.f64 (.f64 th (.f64 th #s(literal -1/720 binary64))) #s(literal -1/24 binary64))))))
(.f64 (.f64 (.f64 th th) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 th th)))))
(.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))) (.f64 th th)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/720 binary64))) (+.f64 (.f64 th (.f64 th #s(literal -1/720 binary64))) #s(literal -1/24 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/518400 binary64))) (.f64 th th)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 th th)))))
(.f64 th (.f64 th #s(literal -1/720 binary64)))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(.f64 #s(literal -1/720 binary64) (.f64 th th))
(.f64 (.f64 th #s(literal -1/720 binary64)) th)

simplify354.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

5690×	`+-lowering-+.f64`
5690×	`+-lowering-+.f32`
4686×	`-lowering-.f32`
4686×	`-lowering-.f64`
1322×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	6570
1	792	6009
2	3309	5768
0	8580	5768

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
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(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
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(+ (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2)))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
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(* (pow a1 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(+ (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2)))
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(+ (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2)))
(/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
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(* (pow a2 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))
(/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2)))))
(+ (pow a1 2) (pow a2 2))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))
(* -1/720 (* (pow th 6) (+ (pow a1 2) (pow a2 2))))
(* (pow th 6) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))
(* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))))))
(* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))) (+ (/ (pow a1 2) (pow th 6)) (/ (pow a2 2) (pow th 6)))))))
(* -1/720 (* (pow th 6) (+ (pow a1 2) (pow a2 2))))
(* (pow th 6) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2)))))
(* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))))))
(* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (pow th 4))) (+ (* -1/720 (+ (pow a1 2) (pow a2 2))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (pow th 2))) (+ (/ (pow a1 2) (pow th 6)) (/ (pow a2 2) (pow th 6)))))))
(* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
(+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
(+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a1 2)))))
(* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a1 2)))))
(* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a1 2)))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a1 2)))))
(* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a1 2)))))
(* (pow a1 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a1 2)))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
(+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
(+ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
(* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a2 2)))))
(* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a2 2)))))
(* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a2 2)))))
(* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a2 2)))))
(* (pow a2 2) (+ 1 (+ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (pow a2 2)))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(* -1/720 (pow th 6))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* (pow th 6) (- (+ (* 1/24 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* -1/720 (pow th 6))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* (pow th 6) (- (+ (* 1/24 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* -1/2 (pow th 2))
(* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))
(* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))
(* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))
(* -1/720 (pow th 6))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* -1/720 (pow th 6))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ 1 (sqrt 2))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))))))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(+ (pow a1 2) (pow a2 2))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (pow a2 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(* (pow a2 2) (cos th))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (cos th))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* 1/24 (pow th 2))
(* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))
(* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))
(* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))
(* -1/720 (pow th 4))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* -1/720 (pow th 4))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))

Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 th th) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal -1/720 binary64)))))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
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1
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(cos th)
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(* (pow a2 2) (* (cos th) (sqrt 1/2)))
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(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 a2 a2))))
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(.f64 (.f64 a2 a2) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 a2 a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 a2 a2))))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (.f64 (.f64 th th) (.f64 (*.f64 th th) #s(literal 1/24 binary64)))))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))
(+.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (pow a1 2) (cos th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (cos.f64 th) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (*.f64 a1 a1))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (cos.f64 th) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (*.f64 a1 a1))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (cos.f64 th) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (*.f64 a1 a1))))
(* (pow a1 2) (cos th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (cos.f64 th) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (*.f64 a1 a1))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (cos.f64 th) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (*.f64 a1 a1))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (cos.f64 th) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (*.f64 a1 a1))))
(* (pow a1 2) (cos th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (cos.f64 th) (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (*.f64 a2 a2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (cos.f64 th) (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (*.f64 a2 a2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (cos.f64 th) (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (*.f64 a2 a2))))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (cos.f64 th) (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (*.f64 a2 a2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (cos.f64 th) (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (*.f64 a2 a2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (cos.f64 th) (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (*.f64 a2 a2))))
(* 1/24 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/24 binary64))
(* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))
(.f64 th (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))
(* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))
(.f64 th (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))
(* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))
(.f64 th (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))
(* -1/720 (pow th 4))
(.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64))))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(.f64 (.f64 (.f64 th th) (.f64 th th)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 th th))))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(.f64 (.f64 (.f64 th th) (.f64 th th)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 th th))))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(.f64 (.f64 (.f64 th th) (.f64 th th)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 th th))))
(* -1/720 (pow th 4))
(.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64))))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(.f64 (.f64 (.f64 th th) (.f64 th th)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 th th))))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(.f64 (.f64 (.f64 th th) (.f64 th th)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 th th))))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(.f64 (.f64 (.f64 th th) (.f64 th th)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 th th))))
(* -1/720 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(* -1/720 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(* -1/720 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(* -1/720 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(* -1/720 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(* -1/720 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(* -1/720 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(* -1/720 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(* -1/720 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(* -1/720 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(* -1/720 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(* -1/720 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/720 binary64))

eval265.0ms (2.1%)

Compiler: Compiled 74925 to 3122 computations (95.8% saved)

prune248.0ms (2%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	1980	24	2004
Fresh	6	3	9
Picked	4	1	5
Done	0	0	0
Total	1990	28	2018

Accuracy

100.0%

Counts

2018 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.1%	(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	17.1%	(/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.1%	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	63.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	62.2%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	10.3%	(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))
	59.2%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	62.2%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
▶	16.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	27.9%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.3%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	63.7%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
▶	13.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	63.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	46.6%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
	43.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	99.2%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2)))
	99.2%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
▶	15.6%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	63.0%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64)))))
✓	99.6%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	63.0%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.3%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	99.3%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
	63.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	63.7%	(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64)))
	63.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))))
	99.2%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 1160 to 727 computations (37.3% saved)

simplify221.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a1 (.f64 a1 (*.f64 a1 a1)))
✓	cost-diff	0	(+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	2560	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
✓	cost-diff	0	(.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(*.f64 a2 (cos.f64 th))
✓	cost-diff	0	(.f64 a2 (.f64 a2 (cos.f64 th)))
✓	cost-diff	0	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))

Rules

2530×	`-lowering-.f32`
2530×	`-lowering-.f64`
2016×	`sum5-define`
1898×	`+-lowering-+.f64`
1898×	`+-lowering-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	335
1	109	310
2	315	310
3	902	310
4	3020	310
5	5808	310
0	8222	310

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* a2 (* a2 (cos th))) (sqrt 2))
(* a2 (* a2 (cos th)))
a2
(* a2 (cos th))
(cos th)
th
(sqrt 2)
2
(/ (* a1 a1) (sqrt 2))
(* a1 a1)
a1
(sqrt 2)
2
(/ (/ 1 (/ 1 (+ (* a1 a1) (* a2 a2)))) (sqrt 2))
(/ 1 (/ 1 (+ (* a1 a1) (* a2 a2))))
1
(/ 1 (+ (* a1 a1) (* a2 a2)))
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(sqrt 2)
2
(/ (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (* a1 a1)) (sqrt 2))
(* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (* a1 a1))
(+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720)))))))
1
(* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))
th
(* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720)))))
(+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))
-1/2
(* (* th th) (+ 1/24 (* (* th th) -1/720)))
(* th th)
(+ 1/24 (* (* th th) -1/720))
1/24
(* (* th th) -1/720)
-1/720
(* a1 a1)
a1
(sqrt 2)
2
(* (/ (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2)) (/ (+ (* a1 a1) (* a2 a2)) (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))))
(/ (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))
(+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))
(* a1 (* a1 (* a1 a1)))
a1
(* a1 (* a1 a1))
(* a1 a1)
(* (* a2 a2) (- (* a2 a2) (* a1 a1)))
(* a2 a2)
a2
(- (* a2 a2) (* a1 a1))
(sqrt 2)
2
(/ (+ (* a1 a1) (* a2 a2)) (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))))
(+ (* a1 a1) (* a2 a2))

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

localize187.0ms (1.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	accuracy	94.7%	(-.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	accuracy	38.4%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
✓	accuracy	31.1%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
✓	accuracy	99.8%	(.f64 (.f64 th th) #s(literal -1/720 binary64))
✓	accuracy	99.8%	(.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))
✓	accuracy	99.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	78.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 a2 (.f64 a2 (cos.f64 th)))
✓	accuracy	99.8%	(*.f64 a2 (cos.f64 th))
✓	accuracy	99.7%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))

Results

116.0ms

256×

valid

Compiler

Compiled 413 to 39 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 27.0ms (41.9% of total)

ival-div: 13.0ms (20.2% of total)

...c/correct-round.rkt:119:19: 8.0ms (12.4% of total)

ival-add: 6.0ms (9.3% of total)

ival-cos: 6.0ms (9.3% of total)

ival-sqrt: 2.0ms (3.1% of total)

ival-sub: 1.0ms (1.6% of total)

const: 1.0ms (1.6% of total)

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

series30.0ms (0.2%)

Counts

24 → 456

Calls

Call 1

Inputs
#<alt (/ (* a2 (* a2 (cos th))) (sqrt 2))>
#<alt (* a2 (* a2 (cos th)))>
#<alt (* a2 (cos th))>
#<alt (cos th)>
#<alt (/ (* a1 a1) (sqrt 2))>
#<alt (* a1 a1)>
#<alt (sqrt 2)>
#<alt (/ (/ 1 (/ 1 (+ (* a1 a1) (* a2 a2)))) (sqrt 2))>
#<alt (/ 1 (/ 1 (+ (* a1 a1) (* a2 a2))))>
#<alt (/ 1 (+ (* a1 a1) (* a2 a2)))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (/ (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (* a1 a1)) (sqrt 2))>
#<alt (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (* a1 a1))>
#<alt (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720)))))))>
#<alt (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))>
#<alt (* (/ (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2)) (/ (+ (* a1 a1) (* a2 a2)) (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))))>
#<alt (/ (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))>
#<alt (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))>
#<alt (* a1 (* a1 (* a1 a1)))>
#<alt (* (* th th) (+ 1/24 (* (* th th) -1/720)))>
#<alt (* (* th th) -1/720)>
#<alt (/ (+ (* a1 a1) (* a2 a2)) (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))))>
#<alt (- (* a2 a2) (* a1 a1))>
#<alt (* (* a2 a2) (- (* a2 a2) (* a1 a1)))>

Outputs
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (pow a2 2)>
#<alt (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt a2>
#<alt (+ a2 (* -1/2 (* a2 (pow th 2))))>
#<alt (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))>
#<alt (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (/ 1 (pow a2 2))>
#<alt (+ (* -1 (/ (pow a1 2) (pow a2 4))) (/ 1 (pow a2 2)))>
#<alt (+ (* (pow a1 2) (- (/ (pow a1 2) (pow a2 6)) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))>
#<alt (+ (* (pow a1 2) (- (* (pow a1 2) (+ (* -1 (/ (pow a1 2) (pow a2 8))) (/ 1 (pow a2 6)))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))>
#<alt (/ 1 (pow a1 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))>
#<alt (/ (- (+ 1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 2) (pow a1 2))) (pow a1 2))>
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#<alt (/ (- (+ 1 (/ (pow a2 2) (pow a1 2))) (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a2 2) (- (pow a2 2) (* -1 (pow a2 2))))) (pow a2 4)) (pow a1 4))) (/ (pow a2 2) (pow a1 2)))) (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* (pow a2 2) (+ (* -1 (* (pow a2 2) (- (pow a2 2) (* -1 (pow a2 2))))) (pow a2 4))) (* (pow a2 4) (- (pow a2 2) (* -1 (pow a2 2))))) (pow a1 6))) (/ (pow a2 2) (pow a1 2)))) (+ (* -1 (/ (* (pow a2 2) (- (pow a2 2) (* -1 (pow a2 2)))) (pow a1 4))) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4))))) (pow a1 2))>
#<alt (/ 1 (pow a1 2))>
#<alt (+ (* 2 (/ (pow a2 2) (pow a1 4))) (/ 1 (pow a1 2)))>
#<alt (+ (* (pow a2 2) (+ (* 2 (/ 1 (pow a1 4))) (/ (pow a2 2) (pow a1 6)))) (/ 1 (pow a1 2)))>
#<alt (+ (* (pow a2 2) (+ (* (pow a2 2) (+ (* -1 (/ (pow a2 2) (pow a1 8))) (/ 1 (pow a1 6)))) (* 2 (/ 1 (pow a1 4))))) (/ 1 (pow a1 2)))>
#<alt (/ 1 (pow a2 2))>
#<alt (/ (- (+ 1 (/ (pow a1 2) (pow a2 2))) (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a1 4)) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))) (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* (pow a1 2) (+ (* -1 (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a1 4))) (* (pow a1 4) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a2 6))) (/ (pow a1 2) (pow a2 2)))) (+ (* -1 (/ (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2)))) (pow a2 4))) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (/ (pow a1 4) (pow a2 4))))) (pow a2 2))>
#<alt (/ 1 (pow a2 2))>
#<alt (/ (- (+ 1 (/ (pow a1 2) (pow a2 2))) (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a1 4)) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))) (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* (pow a1 2) (+ (* -1 (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a1 4))) (* (pow a1 4) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a2 6))) (/ (pow a1 2) (pow a2 2)))) (+ (* -1 (/ (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2)))) (pow a2 4))) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (/ (pow a1 4) (pow a2 4))))) (pow a2 2))>
#<alt (* -1 (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (pow a2 2)>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (* -1 (pow a1 2))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* -1 (pow a1 2))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* -1 (* (pow a1 2) (pow a2 2)))>
#<alt (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2)))>
#<alt (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2)))>
#<alt (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2)))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (pow a2 4)>
#<alt (+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))>
#<alt (+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))>
#<alt (+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))>
#<alt (* -1 (* (pow a1 2) (pow a2 2)))>
#<alt (* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))>
#<alt (* -1 (* (pow a1 2) (pow a2 2)))>
#<alt (* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))>

Calls

114 calls:

Time	Variable		Point	Expression
6.0ms	a2	@	0	(* (* a2 a2) (- (* a2 a2) (* a1 a1)))
1.0ms	a1	@	0	(/ (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (* a1 a1)) (sqrt 2))
1.0ms	a1	@	inf	(+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))
1.0ms	a1	@	inf	(/ (+ (* a1 a1) (* a2 a2)) (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))))
1.0ms	a2	@	inf	(/ (+ (* a1 a1) (* a2 a2)) (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))))

rewrite455.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3520×	`-lowering-.f32`
3520×	`-lowering-.f64`
3424×	`/-lowering-/.f32`
3424×	`/-lowering-/.f64`
2336×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	246
1	243	225
2	2198	225
0	8886	225

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1264

Calls

Call 1

Inputs
(/ (* a2 (* a2 (cos th))) (sqrt 2))
(* a2 (* a2 (cos th)))
(* a2 (cos th))
(cos th)
(/ (* a1 a1) (sqrt 2))
(* a1 a1)
(sqrt 2)
(/ (/ 1 (/ 1 (+ (* a1 a1) (* a2 a2)))) (sqrt 2))
(/ 1 (/ 1 (+ (* a1 a1) (* a2 a2))))
(/ 1 (+ (* a1 a1) (* a2 a2)))
(+ (* a1 a1) (* a2 a2))
(/ (* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (* a1 a1)) (sqrt 2))
(* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (* a1 a1))
(+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720)))))))
(* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))
(* (/ (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2)) (/ (+ (* a1 a1) (* a2 a2)) (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))))
(/ (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))
(+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))
(* a1 (* a1 (* a1 a1)))
(* (* th th) (+ 1/24 (* (* th th) -1/720)))
(* (* th th) -1/720)
(/ (+ (* a1 a1) (* a2 a2)) (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))))
(- (* a2 a2) (* a1 a1))
(* (* a2 a2) (- (* a2 a2) (* a1 a1)))

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

simplify277.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

4164×	`-lowering-.f32`
4164×	`-lowering-.f64`
2264×	`+-lowering-+.f64`
2264×	`+-lowering-+.f32`
1164×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	372	5955
1	1247	5667
2	4253	5556
0	8472	5556

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(pow a2 2)
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ 1 (pow a2 2))
(+ (* -1 (/ (pow a1 2) (pow a2 4))) (/ 1 (pow a2 2)))
(+ (* (pow a1 2) (- (/ (pow a1 2) (pow a2 6)) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (+ (* -1 (/ (pow a1 2) (pow a2 8))) (/ 1 (pow a2 6)))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))
(/ 1 (pow a1 2))
(/ (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/ (- (+ 1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 2) (pow a1 2))) (pow a1 2))
(/ (- (+ 1 (* -1 (/ (pow a2 6) (pow a1 6)))) (+ (* -1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/ 1 (pow a1 2))
(/ (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/ (- (+ 1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 2) (pow a1 2))) (pow a1 2))
(/ (- (+ 1 (* -1 (/ (pow a2 6) (pow a1 6)))) (+ (* -1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/ 1 (pow a1 2))
(+ (* -1 (/ (pow a2 2) (pow a1 4))) (/ 1 (pow a1 2)))
(+ (* (pow a2 2) (- (/ (pow a2 2) (pow a1 6)) (/ 1 (pow a1 4)))) (/ 1 (pow a1 2)))
(+ (* (pow a2 2) (- (* (pow a2 2) (+ (* -1 (/ (pow a2 2) (pow a1 8))) (/ 1 (pow a1 6)))) (/ 1 (pow a1 4)))) (/ 1 (pow a1 2)))
(/ 1 (pow a2 2))
(/ (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/ (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))) (pow a2 2))
(/ (- (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))) (+ (* -1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/ 1 (pow a2 2))
(/ (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/ (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))) (pow a2 2))
(/ (- (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))) (+ (* -1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
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(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ (pow a1 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))
(* -1/720 (/ (* (pow a1 2) (pow th 6)) (sqrt 2)))
(* (pow th 6) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a1 2) (* (pow th 2) (sqrt 2))))))
(* (pow th 6) (+ (* -1/2 (/ (pow a1 2) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a1 2) (* (pow th 2) (sqrt 2)))))))
(* (pow th 6) (+ (* -1/2 (/ (pow a1 2) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a1 2) (* (pow th 2) (sqrt 2)))) (/ (pow a1 2) (* (pow th 6) (sqrt 2)))))))
(* -1/720 (/ (* (pow a1 2) (pow th 6)) (sqrt 2)))
(* (pow th 6) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a1 2) (* (pow th 2) (sqrt 2))))))
(* (pow th 6) (+ (* -1/2 (/ (pow a1 2) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a1 2) (* (pow th 2) (sqrt 2)))))))
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(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(/ (* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))) (sqrt 2))
(pow a1 2)
(+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))
(* -1/720 (* (pow a1 2) (pow th 6)))
(* (pow th 6) (+ (* -1/720 (pow a1 2)) (* 1/24 (/ (pow a1 2) (pow th 2)))))
(* (pow th 6) (+ (* -1/2 (/ (pow a1 2) (pow th 4))) (+ (* -1/720 (pow a1 2)) (* 1/24 (/ (pow a1 2) (pow th 2))))))
(* (pow th 6) (+ (* -1/2 (/ (pow a1 2) (pow th 4))) (+ (* -1/720 (pow a1 2)) (+ (* 1/24 (/ (pow a1 2) (pow th 2))) (/ (pow a1 2) (pow th 6))))))
(* -1/720 (* (pow a1 2) (pow th 6)))
(* (pow th 6) (+ (* -1/720 (pow a1 2)) (* 1/24 (/ (pow a1 2) (pow th 2)))))
(* (pow th 6) (+ (* -1/2 (/ (pow a1 2) (pow th 4))) (+ (* -1/720 (pow a1 2)) (* 1/24 (/ (pow a1 2) (pow th 2))))))
(* (pow th 6) (+ (* -1/2 (/ (pow a1 2) (pow th 4))) (+ (* -1/720 (pow a1 2)) (+ (* 1/24 (/ (pow a1 2) (pow th 2))) (/ (pow a1 2) (pow th 6))))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
(* (pow a1 2) (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(* -1/720 (pow th 6))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* (pow th 6) (- (+ (* 1/24 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* -1/720 (pow th 6))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* (pow th 6) (- (+ (* 1/24 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* -1/2 (pow th 2))
(* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))
(* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))
(* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))
(* -1/720 (pow th 6))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* -1/720 (pow th 6))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))
(* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 4) (sqrt 2))
(+ (* -1 (/ (* (pow a1 2) (pow a2 2)) (sqrt 2))) (/ (pow a2 4) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1 (/ (pow a2 2) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))) (/ (pow a2 4) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1 (/ (pow a2 2) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))) (/ (pow a2 4) (sqrt 2)))
(/ (pow a1 4) (sqrt 2))
(* (pow a1 4) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a1 4) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ (pow a2 4) (* (pow a1 4) (sqrt 2))))))
(* (pow a1 4) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ (pow a2 4) (* (pow a1 4) (sqrt 2))))))
(/ (pow a1 4) (sqrt 2))
(* (pow a1 4) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a1 4) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ (pow a2 4) (* (pow a1 4) (sqrt 2))))))
(* (pow a1 4) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ (pow a2 4) (* (pow a1 4) (sqrt 2))))))
(/ (pow a1 4) (sqrt 2))
(+ (* -1 (/ (* (pow a1 2) (pow a2 2)) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))
(+ (* (pow a2 2) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))) (/ (pow a1 4) (sqrt 2)))
(+ (* (pow a2 2) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))) (/ (pow a1 4) (sqrt 2)))
(/ (pow a2 4) (sqrt 2))
(* (pow a2 4) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 4) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ (pow a1 4) (* (pow a2 4) (sqrt 2))))))
(* (pow a2 4) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ (pow a1 4) (* (pow a2 4) (sqrt 2))))))
(/ (pow a2 4) (sqrt 2))
(* (pow a2 4) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 4) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ (pow a1 4) (* (pow a2 4) (sqrt 2))))))
(* (pow a2 4) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ (pow a1 4) (* (pow a2 4) (sqrt 2))))))
(pow a2 4)
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(pow a1 4)
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(pow a1 4)
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(pow a1 4)
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a1 4))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(* 1/24 (pow th 2))
(* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))
(* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))
(* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))
(* -1/720 (pow th 4))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* -1/720 (pow th 4))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(* -1/720 (pow th 2))
(/ 1 (pow a2 2))
(+ (* 2 (/ (pow a1 2) (pow a2 4))) (/ 1 (pow a2 2)))
(+ (* (pow a1 2) (+ (* 2 (/ 1 (pow a2 4))) (/ (pow a1 2) (pow a2 6)))) (/ 1 (pow a2 2)))
(+ (* (pow a1 2) (+ (* (pow a1 2) (+ (* -1 (/ (pow a1 2) (pow a2 8))) (/ 1 (pow a2 6)))) (* 2 (/ 1 (pow a2 4))))) (/ 1 (pow a2 2)))
(/ 1 (pow a1 2))
(/ (- (+ 1 (/ (pow a2 2) (pow a1 2))) (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a2 2) (- (pow a2 2) (* -1 (pow a2 2))))) (pow a2 4)) (pow a1 4))) (/ (pow a2 2) (pow a1 2)))) (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* (pow a2 2) (+ (* -1 (* (pow a2 2) (- (pow a2 2) (* -1 (pow a2 2))))) (pow a2 4))) (* (pow a2 4) (- (pow a2 2) (* -1 (pow a2 2))))) (pow a1 6))) (/ (pow a2 2) (pow a1 2)))) (+ (* -1 (/ (* (pow a2 2) (- (pow a2 2) (* -1 (pow a2 2)))) (pow a1 4))) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4))))) (pow a1 2))
(/ 1 (pow a1 2))
(/ (- (+ 1 (/ (pow a2 2) (pow a1 2))) (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a2 2) (- (pow a2 2) (* -1 (pow a2 2))))) (pow a2 4)) (pow a1 4))) (/ (pow a2 2) (pow a1 2)))) (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* (pow a2 2) (+ (* -1 (* (pow a2 2) (- (pow a2 2) (* -1 (pow a2 2))))) (pow a2 4))) (* (pow a2 4) (- (pow a2 2) (* -1 (pow a2 2))))) (pow a1 6))) (/ (pow a2 2) (pow a1 2)))) (+ (* -1 (/ (* (pow a2 2) (- (pow a2 2) (* -1 (pow a2 2)))) (pow a1 4))) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4))))) (pow a1 2))
(/ 1 (pow a1 2))
(+ (* 2 (/ (pow a2 2) (pow a1 4))) (/ 1 (pow a1 2)))
(+ (* (pow a2 2) (+ (* 2 (/ 1 (pow a1 4))) (/ (pow a2 2) (pow a1 6)))) (/ 1 (pow a1 2)))
(+ (* (pow a2 2) (+ (* (pow a2 2) (+ (* -1 (/ (pow a2 2) (pow a1 8))) (/ 1 (pow a1 6)))) (* 2 (/ 1 (pow a1 4))))) (/ 1 (pow a1 2)))
(/ 1 (pow a2 2))
(/ (- (+ 1 (/ (pow a1 2) (pow a2 2))) (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a1 4)) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))) (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* (pow a1 2) (+ (* -1 (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a1 4))) (* (pow a1 4) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a2 6))) (/ (pow a1 2) (pow a2 2)))) (+ (* -1 (/ (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2)))) (pow a2 4))) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (/ (pow a1 4) (pow a2 4))))) (pow a2 2))
(/ 1 (pow a2 2))
(/ (- (+ 1 (/ (pow a1 2) (pow a2 2))) (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a1 4)) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))) (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* (pow a1 2) (+ (* -1 (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a1 4))) (* (pow a1 4) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a2 6))) (/ (pow a1 2) (pow a2 2)))) (+ (* -1 (/ (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2)))) (pow a2 4))) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (/ (pow a1 4) (pow a2 4))))) (pow a2 2))
(* -1 (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(pow a2 2)
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* -1 (* (pow a1 2) (pow a2 2)))
(* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2)))
(* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2)))
(* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2)))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(pow a2 4)
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(* -1 (* (pow a1 2) (pow a2 2)))
(* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))
(* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))
(* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))
(* -1 (* (pow a1 2) (pow a2 2)))
(* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))
(* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))
(* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))

Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 a2 a2) (.f64 #s(literal -1/2 binary64) (*.f64 th th))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 th th) (/.f64 (.f64 a2 (*.f64 a2 #s(literal 1/24 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 th th) #s(literal -1/720 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 (*.f64 a2 #s(literal 1/24 binary64))) (sqrt.f64 #s(literal 2 binary64))))))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(pow a2 2)
(*.f64 a2 a2)
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) (.f64 th (*.f64 th #s(literal 1/24 binary64)))))))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 th th) #s(literal -1/720 binary64))) (.f64 a2 (*.f64 a2 #s(literal 1/24 binary64))))))))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(+.f64 a2 (.f64 a2 (.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 th (.f64 th (.f64 a2 #s(literal 1/24 binary64)))))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
(+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 (.f64 th th) (+.f64 (.f64 a2 (.f64 (.f64 th th) #s(literal -1/720 binary64))) (*.f64 a2 #s(literal 1/24 binary64)))))))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow th 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64))))))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))))))
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 a1 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 a1 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 a1 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 a1 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 a1 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 a1 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))))
(pow a1 2)
(*.f64 a1 a1)
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
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(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a2 2) (- (pow a2 2) (* -1 (pow a2 2))))) (pow a2 4)) (pow a1 4))) (/ (pow a2 2) (pow a1 2)))) (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) (/.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) #s(literal -2 binary64)))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a2 a2) a1) a1))) (*.f64 a1 a1))
(/ (- (+ 1 (+ (* -1 (/ (+ (* (pow a2 2) (+ (* -1 (* (pow a2 2) (- (pow a2 2) (* -1 (pow a2 2))))) (pow a2 4))) (* (pow a2 4) (- (pow a2 2) (* -1 (pow a2 2))))) (pow a1 6))) (/ (pow a2 2) (pow a1 2)))) (+ (* -1 (/ (* (pow a2 2) (- (pow a2 2) (* -1 (pow a2 2)))) (pow a1 4))) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4))))) (pow a1 2))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) (/.f64 (+.f64 (.f64 (.f64 a2 a2) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) #s(literal -2 binary64))))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 #s(literal 2 binary64) (.f64 a2 a2))))) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) (/.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) #s(literal -2 binary64)))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))) (.f64 a1 a1))
(/ 1 (pow a1 2))
(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
(+ (* 2 (/ (pow a2 2) (pow a1 4))) (/ 1 (pow a1 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))
(+ (* (pow a2 2) (+ (* 2 (/ 1 (pow a1 4))) (/ (pow a2 2) (pow a1 6)))) (/ 1 (pow a1 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 (*.f64 a2 a2) (pow.f64 a1 #s(literal 6 binary64))))))
(+ (* (pow a2 2) (+ (* (pow a2 2) (+ (* -1 (/ (pow a2 2) (pow a1 8))) (/ 1 (pow a1 6)))) (* 2 (/ 1 (pow a1 4))))) (/ 1 (pow a1 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (+.f64 (.f64 (.f64 a2 a2) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 6 binary64))) (/.f64 (.f64 a2 a2) (pow.f64 a1 #s(literal 8 binary64))))) (/.f64 #s(literal 2 binary64) (.f64 a1 (.f64 a1 (*.f64 a1 a1)))))))
(/ 1 (pow a2 2))
(/.f64 #s(literal 1 binary64) (*.f64 a2 a2))
(/ (- (+ 1 (/ (pow a1 2) (pow a2 2))) (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (.f64 a2 a2)))) (*.f64 a2 a2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a1 4)) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))) (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) #s(literal -2 binary64)))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))) (*.f64 a2 a2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* (pow a1 2) (+ (* -1 (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a1 4))) (* (pow a1 4) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a2 6))) (/ (pow a1 2) (pow a2 2)))) (+ (* -1 (/ (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2)))) (pow a2 4))) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (/ (pow a1 4) (pow a2 4))))) (pow a2 2))
(/.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) #s(literal -2 binary64))))) (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 #s(literal 2 binary64) (.f64 a1 a1))))) (pow.f64 a2 #s(literal 6 binary64)))) (-.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) #s(literal -2 binary64)))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 a2 a2))
(/ 1 (pow a2 2))
(/.f64 #s(literal 1 binary64) (*.f64 a2 a2))
(/ (- (+ 1 (/ (pow a1 2) (pow a2 2))) (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (.f64 a2 a2)))) (*.f64 a2 a2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a1 4)) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))) (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) #s(literal -2 binary64)))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))) (*.f64 a2 a2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* (pow a1 2) (+ (* -1 (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a1 4))) (* (pow a1 4) (- (pow a1 2) (* -1 (pow a1 2))))) (pow a2 6))) (/ (pow a1 2) (pow a2 2)))) (+ (* -1 (/ (* (pow a1 2) (- (pow a1 2) (* -1 (pow a1 2)))) (pow a2 4))) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (/ (pow a1 4) (pow a2 4))))) (pow a2 2))
(/.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) #s(literal -2 binary64))))) (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 #s(literal 2 binary64) (.f64 a1 a1))))) (pow.f64 a2 #s(literal 6 binary64)))) (-.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) #s(literal -2 binary64)))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 a2 a2))
(* -1 (pow a1 2))
(-.f64 #s(literal 0 binary64) (*.f64 a1 a1))
(- (pow a2 2) (pow a1 2))
(-.f64 (.f64 a2 a2) (.f64 a1 a1))
(- (pow a2 2) (pow a1 2))
(-.f64 (.f64 a2 a2) (.f64 a1 a1))
(- (pow a2 2) (pow a1 2))
(-.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow a2 2)
(*.f64 a2 a2)
(+ (* -1 (pow a1 2)) (pow a2 2))
(-.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (* -1 (pow a1 2)) (pow a2 2))
(-.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (* -1 (pow a1 2)) (pow a2 2))
(-.f64 (.f64 a2 a2) (.f64 a1 a1))
(* -1 (pow a1 2))
(-.f64 #s(literal 0 binary64) (*.f64 a1 a1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal -1 binary64))))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal -1 binary64))))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal -1 binary64))))
(* -1 (pow a1 2))
(-.f64 #s(literal 0 binary64) (*.f64 a1 a1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal -1 binary64))))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal -1 binary64))))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (*.f64 a2 a2) a1) a1) #s(literal -1 binary64))))
(* -1 (* (pow a1 2) (pow a2 2)))
(.f64 (.f64 a2 a2) (-.f64 #s(literal 0 binary64) (*.f64 a1 a1)))
(* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2)))
(.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2)))
(.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2)))
(.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(pow a2 4)
(.f64 a2 (.f64 a2 (*.f64 a2 a2)))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow a2 4)
(.f64 a2 (.f64 a2 (*.f64 a2 a2)))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow a2 4)
(.f64 a2 (.f64 a2 (*.f64 a2 a2)))
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(* -1 (* (pow a1 2) (pow a2 2)))
(.f64 (.f64 a2 a2) (-.f64 #s(literal 0 binary64) (*.f64 a1 a1)))
(* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))
(.f64 (.f64 a1 a1) (-.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 a1)) (*.f64 a2 a2)))
(* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))
(.f64 (.f64 a1 a1) (-.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 a1)) (*.f64 a2 a2)))
(* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))
(.f64 (.f64 a1 a1) (-.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 a1)) (*.f64 a2 a2)))
(* -1 (* (pow a1 2) (pow a2 2)))
(.f64 (.f64 a2 a2) (-.f64 #s(literal 0 binary64) (*.f64 a1 a1)))
(* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))
(.f64 (.f64 a1 a1) (-.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 a1)) (*.f64 a2 a2)))
(* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))
(.f64 (.f64 a1 a1) (-.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 a1)) (*.f64 a2 a2)))
(* (pow a1 2) (+ (* -1 (pow a2 2)) (/ (pow a2 4) (pow a1 2))))
(.f64 (.f64 a1 a1) (-.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 a1)) (*.f64 a2 a2)))

eval554.0ms (4.4%)

Compiler: Compiled 126645 to 4945 computations (96.1% saved)

prune278.0ms (2.2%)

Pruning

52 alts after pruning (49 fresh and 3 done)

	Pruned	Kept	Total
New	2281	35	2316
Fresh	8	14	22
Picked	3	2	5
Done	0	1	1
Total	2292	52	2344

Accuracy

100.0%

Counts

2344 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.1%	(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	17.1%	(/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
	6.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64)))
	63.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	13.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	17.2%	(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
	12.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (.f64 #s(literal -1/720 binary64) (.f64 a1 a1))) (.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)))))))) (sqrt.f64 #s(literal 2 binary64)))
	13.3%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
	62.2%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	59.8%	(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
▶	45.3%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
	10.3%	(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
	62.2%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	16.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	17.4%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
▶	27.9%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
	58.8%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 th (.f64 th (*.f64 a2 #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
	58.8%	(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
	62.6%	(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
✓	99.3%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	63.7%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	13.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	13.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
	63.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	63.7%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	43.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	99.2%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2)))
	10.3%	(.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
▶	6.4%	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
	15.6%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
	6.6%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 a2 a2)) (+.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
	15.6%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))))
	15.6%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
	15.6%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
	16.9%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)))
	12.3%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))) (-.f64 a1 a2))))
	15.5%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
	15.6%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	8.3%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	6.2%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))) (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))))
✓	99.6%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	63.0%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	1.1%	(.f64 (/.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
▶	99.3%	(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
	99.3%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
▶	13.0%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	63.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	13.0%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	63.7%	(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64)))
	15.6%	(.f64 (.f64 (.f64 a2 a2) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	99.2%	(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
	99.2%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 3589 to 1655 computations (53.9% saved)

simplify232.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a1 (.f64 a1 (*.f64 a1 a1)))
✓	cost-diff	0	(-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
✓	cost-diff	3712	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
✓	cost-diff	0	(+.f64 a2 a1)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 a2 a1))
✓	cost-diff	1152	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2)))
✓	cost-diff	1152	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	384	(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
✓	cost-diff	384	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(*.f64 a2 (cos.f64 th))
✓	cost-diff	0	(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)

Rules

4978×	`-lowering-.f32`
4978×	`-lowering-.f64`
2650×	`+-lowering-+.f64`
2650×	`+-lowering-+.f32`
1676×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	375
1	126	341
2	387	329
3	1604	294
0	8605	294

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (* a2 (cos th)) (sqrt 2)) a2)
(/ (* a2 (cos th)) (sqrt 2))
(* a2 (cos th))
a2
(cos th)
th
(sqrt 2)
2
(* (/ a1 (sqrt 2)) a1)
(/ a1 (sqrt 2))
a1
(sqrt 2)
2
(/ (* (* a1 a1) (+ 1 (/ (* a2 a2) (* a1 a1)))) (sqrt 2))
(* (* a1 a1) (+ 1 (/ (* a2 a2) (* a1 a1))))
(* a1 a1)
a1
(+ 1 (/ (* a2 a2) (* a1 a1)))
1
(/ (* a2 a2) (* a1 a1))
(* a2 a2)
a2
(sqrt 2)
2
(/ (* (/ 1 (+ a2 a1)) (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (- a1 a2))) (sqrt 2))
(* (/ 1 (+ a2 a1)) (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (- a1 a2)))
(/ 1 (+ a2 a1))
1
(+ a2 a1)
a2
a1
(/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (- a1 a2))
(- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2)))
(* a1 (* a1 (* a1 a1)))
(* a1 (* a1 a1))
(* a1 a1)
(* (* a2 a2) (* a2 a2))
(* a2 a2)
(- a1 a2)
(sqrt 2)
2
(* (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (/ (sqrt 2) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2)))))) (/ (/ 1 (- (* a1 a1) (* a2 a2))) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2))))))
(/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (/ (sqrt 2) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2))))))
(- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2)))
(* a1 (* a1 (* a1 a1)))
a1
(* a1 (* a1 a1))
(* a1 a1)
(* (* a2 a2) (* a2 a2))
(* a2 a2)
a2
(/ (sqrt 2) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2)))))
(sqrt 2)
2
(+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2))))
(* (+ a2 a1) (* (- a2 a1) (* a2 a2)))
(+ a2 a1)
(* (- a2 a1) (* a2 a2))
(- a2 a1)
(/ (/ 1 (- (* a1 a1) (* a2 a2))) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2)))))
(/ 1 (- (* a1 a1) (* a2 a2)))
1
(- (* a1 a1) (* a2 a2))

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

localize189.0ms (1.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	93.3%	(-.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	86.3%	(-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))
✓	accuracy	21.5%	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
✓	accuracy	99.6%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	94.2%	(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))
✓	accuracy	86.3%	(-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))
✓	accuracy	82.7%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	accuracy	99.6%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	76.5%	(/.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	accuracy	59.9%	(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
✓	accuracy	99.3%	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(*.f64 a2 (cos.f64 th))
✓	accuracy	99.8%	(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
✓	accuracy	99.4%	(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))

Results

114.0ms

256×

valid

Compiler

Compiled 493 to 39 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 23.0ms (39.4% of total)

ival-div: 18.0ms (30.9% of total)

ival-cos: 7.0ms (12% of total)

ival-sub: 5.0ms (8.6% of total)

ival-add: 4.0ms (6.9% of total)

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

const: 1.0ms (1.7% of total)

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

series38.0ms (0.3%)

Counts

23 → 468

Calls

Call 1

Inputs
#<alt (* (/ (* a2 (cos th)) (sqrt 2)) a2)>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (* a2 (cos th))>
#<alt (cos th)>
#<alt (* (/ a1 (sqrt 2)) a1)>
#<alt (/ a1 (sqrt 2))>
#<alt (sqrt 2)>
#<alt (/ (* (* a1 a1) (+ 1 (/ (* a2 a2) (* a1 a1)))) (sqrt 2))>
#<alt (* (* a1 a1) (+ 1 (/ (* a2 a2) (* a1 a1))))>
#<alt (* a1 a1)>
#<alt (+ 1 (/ (* a2 a2) (* a1 a1)))>
#<alt (/ (* (/ 1 (+ a2 a1)) (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (- a1 a2))) (sqrt 2))>
#<alt (* (/ 1 (+ a2 a1)) (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (- a1 a2)))>
#<alt (/ 1 (+ a2 a1))>
#<alt (+ a2 a1)>
#<alt (* (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (/ (sqrt 2) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2)))))) (/ (/ 1 (- (* a1 a1) (* a2 a2))) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2))))))>
#<alt (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (/ (sqrt 2) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2))))))>
#<alt (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2)))>
#<alt (* a1 (* a1 (* a1 a1)))>
#<alt (/ (* a2 a2) (* a1 a1))>
#<alt (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (- a1 a2))>
#<alt (- (* a1 a1) (* a2 a2))>
#<alt (/ 1 (- (* a1 a1) (* a2 a2)))>

Outputs
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ a2 (sqrt 2))>
#<alt (+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (sqrt 2)))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (/ (* a2 (cos th)) (sqrt 2))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt a2>
#<alt (+ a2 (* -1/2 (* a2 (pow th 2))))>
#<alt (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))>
#<alt (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt 1>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (/ (pow a2 2) (pow a1 2))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (/ (pow a2 2) (pow a1 2))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (/ (pow a2 2) (pow a1 2))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))>
#<alt 1>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt 1>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (* -1 (* a2 (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))>
#<alt (+ (* a2 (- (* a2 (- (/ 1 (sqrt 2)) (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a1 2))))) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))>
#<alt (+ (* a2 (- (* a2 (- (+ (* -1 (/ (* a2 (* (+ a1 (* -1 a1)) (- (/ 1 (sqrt 2)) (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a1 2)))))) (pow a1 2))) (/ 1 (sqrt 2))) (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a1 2))))) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (* -1 (/ a1 (* a2 (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ a1 (* a2 (sqrt 2))))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2)))) (pow a2 2))) (/ 1 (sqrt 2))) (* -1 (/ (+ a1 (* -1 a1)) (* a2 (sqrt 2))))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (+ a1 (* -1 a1))) (sqrt 2))) (* (+ a1 (* -1 a1)) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2)))))) (pow a2 3))) (/ 1 (sqrt 2))) (+ (* -1 (/ (+ a1 (* -1 a1)) (* a2 (sqrt 2)))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (* (pow a2 2) (sqrt 2))))))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (* -1 (/ (+ a1 (* -1 a1)) (* a2 (sqrt 2)))) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (- (+ (* -1 (/ (pow a1 2) (* a2 (sqrt 2)))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (* a2 (sqrt 2))))) (* -1 (/ (+ a1 (* -1 a1)) (sqrt 2)))) a2)) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a1 2) (+ a1 (* -1 a1))) (* a2 (sqrt 2)))) (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2))))) a2)) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2))))) a2)) (* -1 (/ (+ a1 (* -1 a1)) (sqrt 2)))) a2)) (/ 1 (sqrt 2))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (* a1 (+ a2 (* -1 a2))) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* a1 (- (* a1 (- (/ 1 (sqrt 2)) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (+ a2 (* -1 a2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* a1 (- (* a1 (- (+ (* -1 (* a1 (+ (* -1 (/ (* (+ a2 (* -1 a2)) (- (/ 1 (sqrt 2)) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (* (pow a2 2) (sqrt 2)))))) (pow a2 2))) (* -1 (/ (+ a2 (* -1 a2)) (* (pow a2 2) (sqrt 2))))))) (/ 1 (sqrt 2))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (+ a2 (* -1 a2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (* -1 (/ (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))) a1)) (/ 1 (sqrt 2))))>
#<alt (* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (* -1 (/ (pow a2 2) (sqrt 2)))) (pow a1 2))) (/ 1 (sqrt 2))) (+ (* -1 (/ a2 (* a1 (sqrt 2)))) (/ a2 (* a1 (sqrt 2))))))>
#<alt (* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (* -1 (/ (pow a2 2) (sqrt 2)))))) (* (pow a2 2) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (pow a1 3))) (/ 1 (sqrt 2))) (+ (* -1 (/ a2 (* a1 (sqrt 2)))) (+ (* -1 (/ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (pow a1 2))) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ a2 (* a1 (sqrt 2))))))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (* -1 (/ (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))) a1)) (/ 1 (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* -1 (/ (+ (* -1 (/ a2 (sqrt 2))) (+ (* -1 (/ (+ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (/ (pow a2 2) (sqrt 2))) a1)) (/ a2 (sqrt 2)))) a1)) (/ 1 (sqrt 2))))>
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#<alt (/ (- (* -1 (/ (pow a1 2) (pow a2 2))) 1) (pow a2 2))>
#<alt (/ (- (* -1 (/ (pow a1 4) (pow a2 4))) (+ 1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))>
#<alt (/ (- (* -1 (/ (pow a1 6) (pow a2 6))) (+ 1 (+ (/ (pow a1 2) (pow a2 2)) (/ (pow a1 4) (pow a2 4))))) (pow a2 2))>

Calls

117 calls:

Time	Variable		Point	Expression
4.0ms	a2	@	inf	(* (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (/ (sqrt 2) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2)))))) (/ (/ 1 (- (* a1 a1) (* a2 a2))) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2))))))
2.0ms	a2	@	inf	(* (/ (* a2 (cos th)) (sqrt 2)) a2)
1.0ms	a1	@	inf	(/ (* (/ 1 (+ a2 a1)) (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (- a1 a2))) (sqrt 2))
1.0ms	a1	@	0	(* (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (/ (sqrt 2) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2)))))) (/ (/ 1 (- (* a1 a1) (* a2 a2))) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2))))))
1.0ms	a2	@	0	(/ (* (/ 1 (+ a2 a1)) (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (- a1 a2))) (sqrt 2))

rewrite359.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4430×	`-lowering-.f32`
4430×	`-lowering-.f64`
2762×	`/-lowering-/.f32`
2762×	`/-lowering-/.f64`
1764×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	257
1	274	190
2	2798	158
0	8623	158

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 682

Calls

Call 1

Inputs
(* (/ (* a2 (cos th)) (sqrt 2)) a2)
(/ (* a2 (cos th)) (sqrt 2))
(* a2 (cos th))
(cos th)
(* (/ a1 (sqrt 2)) a1)
(/ a1 (sqrt 2))
(sqrt 2)
(/ (* (* a1 a1) (+ 1 (/ (* a2 a2) (* a1 a1)))) (sqrt 2))
(* (* a1 a1) (+ 1 (/ (* a2 a2) (* a1 a1))))
(* a1 a1)
(+ 1 (/ (* a2 a2) (* a1 a1)))
(/ (* (/ 1 (+ a2 a1)) (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (- a1 a2))) (sqrt 2))
(* (/ 1 (+ a2 a1)) (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (- a1 a2)))
(/ 1 (+ a2 a1))
(+ a2 a1)
(* (/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (/ (sqrt 2) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2)))))) (/ (/ 1 (- (* a1 a1) (* a2 a2))) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2))))))
(/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (/ (sqrt 2) (+ (* a1 (* a1 (* a1 a1))) (* (+ a2 a1) (* (- a2 a1) (* a2 a2))))))
(- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2)))
(* a1 (* a1 (* a1 a1)))
(/ (* a2 a2) (* a1 a1))
(/ (- (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (* a2 a2))) (- a1 a2))
(- (* a1 a1) (* a2 a2))
(/ 1 (- (* a1 a1) (* a2 a2)))

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

simplify369.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4190×	`-lowering-.f32`
4190×	`-lowering-.f64`
3554×	`+-lowering-+.f64`
3554×	`+-lowering-+.f32`
1438×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	781	5651
1	2765	4883
0	9974	4883

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ a2 (sqrt 2))
(+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (sqrt 2)))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(/ (pow a2 2) (pow a1 2))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(/ (pow a2 2) (pow a1 2))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(/ (pow a2 2) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(/ (pow a1 2) (sqrt 2))
(+ (* -1 (* a2 (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(+ (* a2 (- (* a2 (- (/ 1 (sqrt 2)) (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a1 2))))) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(+ (* a2 (- (* a2 (- (+ (* -1 (/ (* a2 (* (+ a1 (* -1 a1)) (- (/ 1 (sqrt 2)) (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a1 2)))))) (pow a1 2))) (/ 1 (sqrt 2))) (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a1 2))))) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (* -1 (/ a1 (* a2 (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ a1 (* a2 (sqrt 2))))))
(* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2)))) (pow a2 2))) (/ 1 (sqrt 2))) (* -1 (/ (+ a1 (* -1 a1)) (* a2 (sqrt 2))))))
(* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (+ a1 (* -1 a1))) (sqrt 2))) (* (+ a1 (* -1 a1)) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2)))))) (pow a2 3))) (/ 1 (sqrt 2))) (+ (* -1 (/ (+ a1 (* -1 a1)) (* a2 (sqrt 2)))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (* (pow a2 2) (sqrt 2))))))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (* -1 (/ (+ a1 (* -1 a1)) (* a2 (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (- (+ (* -1 (/ (pow a1 2) (* a2 (sqrt 2)))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (* a2 (sqrt 2))))) (* -1 (/ (+ a1 (* -1 a1)) (sqrt 2)))) a2)) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a1 2) (+ a1 (* -1 a1))) (* a2 (sqrt 2)))) (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2))))) a2)) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2))))) a2)) (* -1 (/ (+ a1 (* -1 a1)) (sqrt 2)))) a2)) (/ 1 (sqrt 2))))
(/ (pow a2 2) (sqrt 2))
(+ (/ (* a1 (+ a2 (* -1 a2))) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* a1 (- (* a1 (- (/ 1 (sqrt 2)) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (+ a2 (* -1 a2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* a1 (- (* a1 (- (+ (* -1 (* a1 (+ (* -1 (/ (* (+ a2 (* -1 a2)) (- (/ 1 (sqrt 2)) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (* (pow a2 2) (sqrt 2)))))) (pow a2 2))) (* -1 (/ (+ a2 (* -1 a2)) (* (pow a2 2) (sqrt 2))))))) (/ 1 (sqrt 2))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (+ a2 (* -1 a2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (* -1 (/ (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))) a1)) (/ 1 (sqrt 2))))
(* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (* -1 (/ (pow a2 2) (sqrt 2)))) (pow a1 2))) (/ 1 (sqrt 2))) (+ (* -1 (/ a2 (* a1 (sqrt 2)))) (/ a2 (* a1 (sqrt 2))))))
(* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (* -1 (/ (pow a2 2) (sqrt 2)))))) (* (pow a2 2) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (pow a1 3))) (/ 1 (sqrt 2))) (+ (* -1 (/ a2 (* a1 (sqrt 2)))) (+ (* -1 (/ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (pow a1 2))) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ a2 (* a1 (sqrt 2))))))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (* -1 (/ (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))) a1)) (/ 1 (sqrt 2))))
(* (pow a1 2) (+ (* -1 (/ (+ (* -1 (/ a2 (sqrt 2))) (+ (* -1 (/ (+ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (/ (pow a2 2) (sqrt 2))) a1)) (/ a2 (sqrt 2)))) a1)) (/ 1 (sqrt 2))))
(* (pow a1 2) (+ (* -1 (/ (+ (* -1 (/ a2 (sqrt 2))) (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a2 (* -1 a2)) (+ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))) (* (pow a2 2) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) a1)) (+ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))) a1)) (/ a2 (sqrt 2)))) a1)) (/ 1 (sqrt 2))))
(pow a1 2)
(+ (* -1 (* a2 (+ a1 (* -1 a1)))) (pow a1 2))
(+ (* a2 (- (* a2 (- 1 (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a1 2))))) (+ a1 (* -1 a1)))) (pow a1 2))
(+ (* a2 (- (* a2 (- (+ 1 (* -1 (/ (* a2 (* (+ a1 (* -1 a1)) (- 1 (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a1 2)))))) (pow a1 2)))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a1 2))))) (+ a1 (* -1 a1)))) (pow a1 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (+ (* -1 (/ a1 a2)) (/ a1 a2))))
(* (pow a2 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2))) (pow a2 2)))) (* -1 (/ (+ a1 (* -1 a1)) a2))))
(* (pow a2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a1 2) (+ a1 (* -1 a1)))) (* (+ a1 (* -1 a1)) (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2))))) (pow a2 3)))) (+ (* -1 (/ (+ a1 (* -1 a1)) a2)) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2)))))))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (+ a1 (* -1 a1)) a2))))
(* (pow a2 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a1 2) a2)) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) a2))) (* -1 (+ a1 (* -1 a1)))) a2))))
(* (pow a2 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a1 2) (+ a1 (* -1 a1))) a2)) (/ (* (+ a1 (* -1 a1)) (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2)))) a2)) (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2)))) a2)) (* -1 (+ a1 (* -1 a1)))) a2))))
(pow a2 2)
(+ (* a1 (+ a2 (* -1 a2))) (pow a2 2))
(+ (* a1 (- (* a1 (- 1 (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a2 2))))) (* -1 (+ a2 (* -1 a2))))) (pow a2 2))
(+ (* a1 (- (* a1 (- (+ 1 (* -1 (* a1 (+ (* -1 (/ (* (+ a2 (* -1 a2)) (- 1 (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a2 2))))) (pow a2 2))) (* -1 (/ (+ a2 (* -1 a2)) (pow a2 2))))))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a2 2))))) (* -1 (+ a2 (* -1 a2))))) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))))
(* (pow a1 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2))) (pow a1 2)))) (+ (* -1 (/ a2 a1)) (/ a2 a1))))
(* (pow a1 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2))))) (* (pow a2 2) (+ a2 (* -1 a2)))) (pow a1 3)))) (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (+ (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a1 2))) (/ a2 a1))))))
(pow a1 2)
(* (pow a1 2) (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))))
(* (pow a1 2) (+ 1 (* -1 (/ (+ a2 (+ (* -1 a2) (* -1 (/ (+ (pow a2 2) (pow (+ a2 (* -1 a2)) 2)) a1)))) a1))))
(* (pow a1 2) (+ 1 (* -1 (/ (+ a2 (+ (* -1 a2) (* -1 (/ (+ (* -1 (/ (+ (* (+ a2 (* -1 a2)) (+ (pow a2 2) (pow (+ a2 (* -1 a2)) 2))) (* (pow a2 2) (+ a2 (* -1 a2)))) a1)) (+ (pow a2 2) (pow (+ a2 (* -1 a2)) 2))) a1)))) a1))))
(/ 1 a1)
(+ (* -1 (/ a2 (pow a1 2))) (/ 1 a1))
(+ (* a2 (- (/ a2 (pow a1 3)) (/ 1 (pow a1 2)))) (/ 1 a1))
(+ (* a2 (- (* a2 (+ (* -1 (/ a2 (pow a1 4))) (/ 1 (pow a1 3)))) (/ 1 (pow a1 2)))) (/ 1 a1))
(/ 1 a2)
(/ (+ 1 (* -1 (/ a1 a2))) a2)
(/ (- (+ 1 (/ (pow a1 2) (pow a2 2))) (/ a1 a2)) a2)
(/ (- (+ 1 (* -1 (/ (pow a1 3) (pow a2 3)))) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (/ a1 a2))) a2)
(/ 1 a2)
(* -1 (/ (- (/ a1 a2) 1) a2))
(* -1 (/ (- (* -1 (/ (- (/ (pow a1 2) a2) a1) a2)) 1) a2))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a1 3) a2) (pow a1 2)) a2)) a1) a2)) 1) a2))
(/ 1 a2)
(+ (* -1 (/ a1 (pow a2 2))) (/ 1 a2))
(+ (* a1 (- (/ a1 (pow a2 3)) (/ 1 (pow a2 2)))) (/ 1 a2))
(+ (* a1 (- (* a1 (+ (* -1 (/ a1 (pow a2 4))) (/ 1 (pow a2 3)))) (/ 1 (pow a2 2)))) (/ 1 a2))
(/ 1 a1)
(/ (+ 1 (* -1 (/ a2 a1))) a1)
(/ (- (+ 1 (/ (pow a2 2) (pow a1 2))) (/ a2 a1)) a1)
(/ (- (+ 1 (* -1 (/ (pow a2 3) (pow a1 3)))) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ a2 a1))) a1)
(/ 1 a1)
(* -1 (/ (- (/ a2 a1) 1) a1))
(* -1 (/ (- (* -1 (/ (- (/ (pow a2 2) a1) a2) a1)) 1) a1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a2 3) a1) (pow a2 2)) a1)) a2) a1)) 1) a1))
a1
(+ a1 a2)
(+ a1 a2)
(+ a1 a2)
a2
(* a2 (+ 1 (/ a1 a2)))
(* a2 (+ 1 (/ a1 a2)))
(* a2 (+ 1 (/ a1 a2)))
a2
(* -1 (* a2 (- (* -1 (/ a1 a2)) 1)))
(* -1 (* a2 (- (* -1 (/ a1 a2)) 1)))
(* -1 (* a2 (- (* -1 (/ a1 a2)) 1)))
a2
(+ a1 a2)
(+ a1 a2)
(+ a1 a2)
a1
(* a1 (+ 1 (/ a2 a1)))
(* a1 (+ 1 (/ a2 a1)))
(* a1 (+ 1 (/ a2 a1)))
a1
(* -1 (* a1 (- (* -1 (/ a2 a1)) 1)))
(* -1 (* a1 (- (* -1 (/ a2 a1)) 1)))
(* -1 (* a1 (- (* -1 (/ a2 a1)) 1)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* -1 (/ (pow a2 8) (sqrt 2)))
(+ (* -1 (/ (* a1 (* (pow a2 6) (+ a2 (* -1 a2)))) (sqrt 2))) (* -1 (/ (pow a2 8) (sqrt 2))))
(+ (* -1 (/ (pow a2 8) (sqrt 2))) (* a1 (+ (* -1 (/ (* (pow a2 6) (+ a2 (* -1 a2))) (sqrt 2))) (/ (* a1 (pow a2 6)) (sqrt 2)))))
(+ (* -1 (/ (pow a2 8) (sqrt 2))) (* a1 (+ (* -1 (/ (* (pow a2 6) (+ a2 (* -1 a2))) (sqrt 2))) (* a1 (+ (* (pow a1 2) (+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2)))) (/ (pow a2 6) (sqrt 2)))))))
(/ (pow a1 8) (sqrt 2))
(* (pow a1 8) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a1 8) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ (* (pow a2 2) (+ a2 (* -1 a2))) (* (pow a1 3) (sqrt 2))))))
(* (pow a1 8) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (+ a2 (* -1 a2))) (* (pow a1 3) (sqrt 2))) (/ (pow a2 4) (* (pow a1 4) (sqrt 2))))))))
(/ (pow a1 8) (sqrt 2))
(* (pow a1 8) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a1 8) (+ (* -1 (/ (* (pow a2 2) (+ a2 (* -1 a2))) (* (pow a1 3) (sqrt 2)))) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* (pow a1 8) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2))) a1)) (/ (* (pow a2 2) (+ a2 (* -1 a2))) (sqrt 2))) (pow a1 3))) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2)))))
(/ (pow a1 8) (sqrt 2))
(+ (* -1 (/ (* (pow a1 6) (pow a2 2)) (sqrt 2))) (/ (pow a1 8) (sqrt 2)))
(+ (* (pow a2 2) (+ (* -1 (/ (pow a1 6) (sqrt 2))) (/ (* (pow a1 4) (* a2 (+ a1 (* -1 a1)))) (sqrt 2)))) (/ (pow a1 8) (sqrt 2)))
(+ (* (pow a2 2) (+ (* -1 (/ (pow a1 6) (sqrt 2))) (* a2 (+ (* a2 (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))) (/ (* (pow a1 4) (+ a1 (* -1 a1))) (sqrt 2)))))) (/ (pow a1 8) (sqrt 2)))
(* -1 (/ (pow a2 8) (sqrt 2)))
(* (pow a2 8) (- (* -1 (/ (+ a1 (* -1 a1)) (* a2 (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 8) (- (+ (* -1 (/ (+ a1 (* -1 a1)) (* a2 (sqrt 2)))) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 8) (- (+ (* -1 (/ (+ a1 (* -1 a1)) (* a2 (sqrt 2)))) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (+ (/ (pow a1 2) (* (pow a2 2) (sqrt 2))) (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))))) (/ 1 (sqrt 2))))
(* -1 (/ (pow a2 8) (sqrt 2)))
(* (pow a2 8) (- (* -1 (/ (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))) a2)) (/ 1 (sqrt 2))))
(* (pow a2 8) (- (* -1 (/ (+ (* -1 (/ a1 (sqrt 2))) (+ (* -1 (/ (pow a1 2) (* a2 (sqrt 2)))) (/ a1 (sqrt 2)))) a2)) (/ 1 (sqrt 2))))
(* (pow a2 8) (- (* -1 (/ (+ (* -1 (/ a1 (sqrt 2))) (+ (* -1 (/ (+ (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2)))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))) a2)) (/ a1 (sqrt 2)))) a2)) (/ 1 (sqrt 2))))
(* -1 (pow a2 4))
(- (pow a1 4) (pow a2 4))
(- (pow a1 4) (pow a2 4))
(- (pow a1 4) (pow a2 4))
(pow a1 4)
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))))
(pow a1 4)
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))))
(pow a1 4)
(+ (* -1 (pow a2 4)) (pow a1 4))
(+ (* -1 (pow a2 4)) (pow a1 4))
(+ (* -1 (pow a2 4)) (pow a1 4))
(* -1 (pow a2 4))
(* (pow a2 4) (- (/ (pow a1 4) (pow a2 4)) 1))
(* (pow a2 4) (- (/ (pow a1 4) (pow a2 4)) 1))
(* (pow a2 4) (- (/ (pow a1 4) (pow a2 4)) 1))
(* -1 (pow a2 4))
(* (pow a2 4) (- (/ (pow a1 4) (pow a2 4)) 1))
(* (pow a2 4) (- (/ (pow a1 4) (pow a2 4)) 1))
(* (pow a2 4) (- (/ (pow a1 4) (pow a2 4)) 1))
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(/ (pow a2 2) (pow a1 2))
(pow a2 3)
(+ (* a1 (pow a2 2)) (pow a2 3))
(+ (* a1 (- (* a1 a2) (* -1 (pow a2 2)))) (pow a2 3))
(+ (* a1 (- (* a1 (- a1 (* -1 a2))) (* -1 (pow a2 2)))) (pow a2 3))
(pow a1 3)
(* (pow a1 3) (+ 1 (/ a2 a1)))
(* (pow a1 3) (- (+ 1 (/ (pow a2 2) (pow a1 2))) (* -1 (/ a2 a1))))
(* (pow a1 3) (- (+ 1 (/ (pow a2 3) (pow a1 3))) (+ (* -1 (/ a2 a1)) (* -1 (/ (pow a2 2) (pow a1 2))))))
(pow a1 3)
(* -1 (* (pow a1 3) (- (* -1 (/ a2 a1)) 1)))
(* -1 (* (pow a1 3) (- (* -1 (/ (+ a2 (/ (pow a2 2) a1)) a1)) 1)))
(* -1 (* (pow a1 3) (- (* -1 (/ (+ a2 (* -1 (/ (+ (* -1 (/ (pow a2 3) a1)) (* -1 (pow a2 2))) a1))) a1)) 1)))
(pow a1 3)
(+ (* (pow a1 2) a2) (pow a1 3))
(+ (* a2 (- (* a1 a2) (* -1 (pow a1 2)))) (pow a1 3))
(+ (* a2 (- (* a2 (- a2 (* -1 a1))) (* -1 (pow a1 2)))) (pow a1 3))
(pow a2 3)
(* (pow a2 3) (+ 1 (/ a1 a2)))
(* (pow a2 3) (- (+ 1 (/ (pow a1 2) (pow a2 2))) (* -1 (/ a1 a2))))
(* (pow a2 3) (- (+ 1 (/ (pow a1 3) (pow a2 3))) (+ (* -1 (/ a1 a2)) (* -1 (/ (pow a1 2) (pow a2 2))))))
(pow a2 3)
(* -1 (* (pow a2 3) (- (* -1 (/ a1 a2)) 1)))
(* -1 (* (pow a2 3) (- (* -1 (/ (- (/ (pow a1 2) a2) (* -1 a1)) a2)) 1)))
(* -1 (* (pow a2 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow a1 3) a2)) (pow a1 2)) a2)) (* -1 a1)) a2)) 1)))
(* -1 (pow a2 2))
(- (pow a1 2) (pow a2 2))
(- (pow a1 2) (pow a2 2))
(- (pow a1 2) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(pow a1 2)
(* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(pow a1 2)
(+ (* -1 (pow a2 2)) (pow a1 2))
(+ (* -1 (pow a2 2)) (pow a1 2))
(+ (* -1 (pow a2 2)) (pow a1 2))
(* -1 (pow a2 2))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(* -1 (pow a2 2))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(/ -1 (pow a2 2))
(- (* -1 (/ (pow a1 2) (pow a2 4))) (/ 1 (pow a2 2)))
(- (* (pow a1 2) (- (* -1 (/ (pow a1 2) (pow a2 6))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))
(- (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (pow a1 2) (pow a2 8))) (/ 1 (pow a2 6)))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))
(/ 1 (pow a1 2))
(/ (+ 1 (/ (pow a2 2) (pow a1 2))) (pow a1 2))
(/ (- (+ 1 (/ (pow a2 4) (pow a1 4))) (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/ (- (+ 1 (/ (pow a2 6) (pow a1 6))) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (* -1 (/ (pow a2 4) (pow a1 4))))) (pow a1 2))
(/ 1 (pow a1 2))
(/ (+ 1 (/ (pow a2 2) (pow a1 2))) (pow a1 2))
(/ (- (+ 1 (/ (pow a2 4) (pow a1 4))) (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/ (- (+ 1 (/ (pow a2 6) (pow a1 6))) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (* -1 (/ (pow a2 4) (pow a1 4))))) (pow a1 2))
(/ 1 (pow a1 2))
(+ (/ 1 (pow a1 2)) (/ (pow a2 2) (pow a1 4)))
(+ (* (pow a2 2) (+ (/ 1 (pow a1 4)) (/ (pow a2 2) (pow a1 6)))) (/ 1 (pow a1 2)))
(+ (* (pow a2 2) (+ (* (pow a2 2) (+ (/ 1 (pow a1 6)) (/ (pow a2 2) (pow a1 8)))) (/ 1 (pow a1 4)))) (/ 1 (pow a1 2)))
(/ -1 (pow a2 2))
(/ (- (* -1 (/ (pow a1 2) (pow a2 2))) 1) (pow a2 2))
(/ (- (* -1 (/ (pow a1 4) (pow a2 4))) (+ 1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/ (- (* -1 (/ (pow a1 6) (pow a2 6))) (+ 1 (+ (/ (pow a1 2) (pow a2 2)) (/ (pow a1 4) (pow a2 4))))) (pow a2 2))
(/ -1 (pow a2 2))
(/ (- (* -1 (/ (pow a1 2) (pow a2 2))) 1) (pow a2 2))
(/ (- (* -1 (/ (pow a1 4) (pow a2 4))) (+ 1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/ (- (* -1 (/ (pow a1 6) (pow a2 6))) (+ 1 (+ (/ (pow a1 2) (pow a2 2)) (/ (pow a1 4) (pow a2 4))))) (pow a2 2))

Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a2 (*.f64 th th)) a2)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a2 (*.f64 th th)) a2)) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/720 binary64) (.f64 (.f64 a2 (.f64 th th)) a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))
(+.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a2 (*.f64 th th))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))
(+.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 th th) (.f64 a2 #s(literal 1/24 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (sqrt 2)))
(+.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/720 binary64) (.f64 a2 (.f64 th th))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (*.f64 th th))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 (.f64 th th) (.f64 a2 #s(literal 1/24 binary64))))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
(+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 a2 (.f64 th th))) (*.f64 a2 #s(literal 1/24 binary64)))))))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow th 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (.f64 a1 a1)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (.f64 a1 a1)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (.f64 a1 a1)))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (.f64 a1 a1)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (.f64 a1 a1)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (.f64 a1 a1)))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
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a1
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a1
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(/ (pow a1 8) (sqrt 2))
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(* -1 (pow a2 2))
(-.f64 #s(literal 0 binary64) (*.f64 a2 a2))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal -1 binary64)))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal -1 binary64)))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal -1 binary64)))
(/ -1 (pow a2 2))
(/.f64 #s(literal -1 binary64) (*.f64 a2 a2))
(- (* -1 (/ (pow a1 2) (pow a2 4))) (/ 1 (pow a2 2)))
(+.f64 (/.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2)))
(- (* (pow a1 2) (- (* -1 (/ (pow a1 2) (pow a2 6))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))
(+.f64 (.f64 (.f64 a1 a1) (+.f64 (/.f64 (.f64 a1 a1) (neg.f64 (pow.f64 a2 #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2)))
(- (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (pow a1 2) (pow a2 8))) (/ 1 (pow a2 6)))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))
(+.f64 (.f64 (.f64 a1 a1) (+.f64 (.f64 (.f64 a1 a1) (+.f64 (/.f64 (.f64 a1 a1) (.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 a2 a2)))
(/ 1 (pow a1 2))
(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
(/ (+ 1 (/ (pow a2 2) (pow a1 2))) (pow a1 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))
(/ (- (+ 1 (/ (pow a2 4) (pow a1 4))) (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (*.f64 a1 a1))
(/ (- (+ 1 (/ (pow a2 6) (pow a1 6))) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (* -1 (/ (pow a2 4) (pow a1 4))))) (pow a1 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 a1 #s(literal 4 binary64))))) (.f64 a1 a1))
(/ 1 (pow a1 2))
(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
(/ (+ 1 (/ (pow a2 2) (pow a1 2))) (pow a1 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))
(/ (- (+ 1 (/ (pow a2 4) (pow a1 4))) (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (*.f64 a1 a1))
(/ (- (+ 1 (/ (pow a2 6) (pow a1 6))) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (* -1 (/ (pow a2 4) (pow a1 4))))) (pow a1 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 a1 #s(literal 4 binary64))))) (.f64 a1 a1))
(/ 1 (pow a1 2))
(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
(+ (/ 1 (pow a1 2)) (/ (pow a2 2) (pow a1 4)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (pow.f64 a1 #s(literal 4 binary64))))
(+ (* (pow a2 2) (+ (/ 1 (pow a1 4)) (/ (pow a2 2) (pow a1 6)))) (/ 1 (pow a1 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 4 binary64))) (/.f64 (.f64 a2 a2) (pow.f64 a1 #s(literal 6 binary64))))))
(+ (* (pow a2 2) (+ (* (pow a2 2) (+ (/ 1 (pow a1 6)) (/ (pow a2 2) (pow a1 8)))) (/ 1 (pow a1 4)))) (/ 1 (pow a1 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 4 binary64))) (.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 6 binary64))) (/.f64 (.f64 a2 a2) (pow.f64 a1 #s(literal 8 binary64))))))))
(/ -1 (pow a2 2))
(/.f64 #s(literal -1 binary64) (*.f64 a2 a2))
(/ (- (* -1 (/ (pow a1 2) (pow a2 2))) 1) (pow a2 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)))) (*.f64 a2 a2))
(/ (- (* -1 (/ (pow a1 4) (pow a2 4))) (+ 1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/.f64 (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2)))) (*.f64 a2 a2))
(/ (- (* -1 (/ (pow a1 6) (pow a2 6))) (+ 1 (+ (/ (pow a1 2) (pow a2 2)) (/ (pow a1 4) (pow a2 4))))) (pow a2 2))
(/.f64 (-.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (neg.f64 (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))) (*.f64 a2 a2))
(/ -1 (pow a2 2))
(/.f64 #s(literal -1 binary64) (*.f64 a2 a2))
(/ (- (* -1 (/ (pow a1 2) (pow a2 2))) 1) (pow a2 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)))) (*.f64 a2 a2))
(/ (- (* -1 (/ (pow a1 4) (pow a2 4))) (+ 1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))
(/.f64 (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2)))) (*.f64 a2 a2))
(/ (- (* -1 (/ (pow a1 6) (pow a2 6))) (+ 1 (+ (/ (pow a1 2) (pow a2 2)) (/ (pow a1 4) (pow a2 4))))) (pow a2 2))
(/.f64 (-.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (neg.f64 (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))) (*.f64 a2 a2))

eval213.0ms (1.7%)

Compiler: Compiled 73349 to 3847 computations (94.8% saved)

prune304.0ms (2.4%)

Pruning

67 alts after pruning (62 fresh and 5 done)

	Pruned	Kept	Total
New	1568	28	1596
Fresh	10	34	44
Picked	3	2	5
Done	0	3	3
Total	1581	67	1648

Accuracy

100.0%

Counts

1648 → 67

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.1%	(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	6.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64)))
	63.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	13.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	10.2%	(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
	12.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (.f64 #s(literal -1/720 binary64) (.f64 a1 a1))) (.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)))))))) (sqrt.f64 #s(literal 2 binary64)))
	13.3%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
	62.2%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	12.2%	(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
	59.8%	(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
	15.9%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
	15.9%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
	54.2%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a2 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	14.5%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	17.1%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
	15.8%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
	45.1%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
	10.3%	(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
	54.5%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (.f64 (+.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
	62.2%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	16.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	17.4%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	27.9%	(/.f64 (.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	38.3%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))) (sqrt.f64 #s(literal 2 binary64)))
	58.8%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 th (.f64 th (*.f64 a2 #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
	58.8%	(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
	62.6%	(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
✓	99.3%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	63.7%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	13.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	13.0%	(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
	13.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
	63.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	13.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
	63.7%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	99.2%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2)))
	10.3%	(.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
	6.3%	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
	6.4%	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
	10.2%	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
	6.6%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 a2 a2)) (+.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
	15.6%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))))
	15.6%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
	15.6%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
	15.6%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	8.3%	(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	6.2%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))) (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))))
✓	99.6%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	62.7%	(.f64 (/.f64 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
	63.0%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	3.6%	(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
	1.1%	(.f64 (/.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
✓	99.3%	(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
	63.8%	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
✓	13.0%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	13.0%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
	63.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	13.0%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	63.7%	(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64)))
	27.8%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
	99.3%	(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
	13.0%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) a1)
	54.5%	(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
	99.2%	(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2))
	99.2%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
	37.1%	(.f64 a1 (/.f64 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
	37.1%	(.f64 a1 (.f64 a1 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 5190 to 1447 computations (72.1% saved)

regimes275.0ms (2.2%)

Counts

103 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) a1)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a2 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 a1 (.f64 a1 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (.f64 (+.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 th (.f64 th (*.f64 a2 #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (.f64 #s(literal -1/720 binary64) (.f64 a1 a1))) (.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 a2 a2) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))) (-.f64 a1 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 a2 a2)) (+.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))) (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (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 (/.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 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2)))

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

Calls

8 calls:

51.0ms	(*.f64 a1 a1)
32.0ms	(cos.f64 th)
30.0ms	a2
30.0ms	a1
28.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes272.0ms (2.2%)

Counts

95 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) a1)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a2 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 a1 (.f64 a1 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (.f64 (+.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 th (.f64 th (*.f64 a2 #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (.f64 #s(literal -1/720 binary64) (.f64 a1 a1))) (.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 a2 a2) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))) (-.f64 a1 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 a2 a2)) (+.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))) (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

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

Calls

7 calls:

74.0ms	(cos.f64 th)
29.0ms	th
29.0ms	a1
27.0ms	a2
27.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes249.0ms (2%)

Counts

93 → 1

Calls

Call 1

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

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

Calls

7 calls:

44.0ms	(*.f64 a2 a2)
26.0ms	th
26.0ms	a1
25.0ms	a2
25.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes215.0ms (1.7%)

Counts

92 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) a1)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a2 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 a1 (.f64 a1 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (.f64 (+.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 th (.f64 th (*.f64 a2 #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (.f64 #s(literal -1/720 binary64) (.f64 a1 a1))) (.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 a2 a2) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))) (-.f64 a1 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 a2 a2)) (+.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))) (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2)))

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

Calls

7 calls:

38.0ms	(*.f64 a2 a2)
28.0ms	a2
27.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
26.0ms	a1
25.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.3%	1	`a1`
99.3%	1	`a2`
99.3%	1	`th`
99.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.3%	1	`(cos.f64 th)`
99.3%	1	`(*.f64 a1 a1)`
99.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes220.0ms (1.8%)

Counts

86 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) a1)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a2 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 a1 (.f64 a1 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (.f64 (+.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 th (.f64 th (*.f64 a2 #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (.f64 #s(literal -1/720 binary64) (.f64 a1 a1))) (.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 a2 a2) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))) (-.f64 a1 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 a2 a2)) (+.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))) (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)

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

Calls

7 calls:

38.0ms	(*.f64 a1 a1)
32.0ms	a2
31.0ms	a1
25.0ms	(cos.f64 th)
24.0ms	th

Results

Accuracy	Segments	Branch
99.3%	1	`a2`
99.3%	1	`th`
99.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.3%	1	`(cos.f64 th)`
99.3%	1	`(*.f64 a2 a2)`
99.3%	1	`a1`
99.3%	1	`(*.f64 a1 a1)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes219.0ms (1.7%)

Counts

85 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) a1)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a2 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 a1 (.f64 a1 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (.f64 (+.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 th (.f64 th (*.f64 a2 #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (.f64 #s(literal -1/720 binary64) (.f64 a1 a1))) (.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 a2 a2) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))) (-.f64 a1 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 a2 a2)) (+.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))) (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))

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

Calls

7 calls:

42.0ms	th
30.0ms	a1
24.0ms	(*.f64 a1 a1)
23.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
23.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.3%	1	`a2`
99.3%	1	`th`
99.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.3%	1	`(cos.f64 th)`
99.3%	1	`(*.f64 a2 a2)`
99.3%	1	`a1`
99.3%	1	`(*.f64 a1 a1)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes186.0ms (1.5%)

Counts

84 → 1

Calls

Call 1

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

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

Calls

7 calls:

25.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
25.0ms	a1
24.0ms	a2
23.0ms	(*.f64 a2 a2)
23.0ms	th

Results

Accuracy	Segments	Branch
99.3%	1	`a2`
99.3%	1	`th`
99.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.3%	1	`(cos.f64 th)`
99.3%	1	`(*.f64 a2 a2)`
99.3%	1	`a1`
99.3%	1	`(*.f64 a1 a1)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes161.0ms (1.3%)

Counts

82 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) a1)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a2 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 a1 (.f64 a1 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (.f64 (+.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 th (.f64 th (*.f64 a2 #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (.f64 #s(literal -1/720 binary64) (.f64 a1 a1))) (.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 a2 a2) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))) (-.f64 a1 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 a2 a2)) (+.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))) (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))

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

Calls

6 calls:

25.0ms	(cos.f64 th)
23.0ms	a1
23.0ms	a2
23.0ms	th
21.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.2%	1	`a2`
99.2%	1	`th`
99.2%	1	`(cos.f64 th)`
99.2%	1	`(*.f64 a2 a2)`
99.2%	1	`a1`
99.2%	1	`(*.f64 a1 a1)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes130.0ms (1%)

Counts

81 → 2

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) a1)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (.f64 a2 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 a1 (.f64 a1 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (.f64 (+.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 th th) (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 th (.f64 th (*.f64 a2 #s(literal 1/24 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a2 a1)) a1) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 th (.f64 th (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 th th) (.f64 #s(literal -1/720 binary64) (.f64 a1 a1))) (.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 a2 a2) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 (+.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (+.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))) (-.f64 a1 a2))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))))))
(.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 a2 a2)) (+.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 (-.f64 a1 a2))))) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))))) (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (*.f64 a2 a2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a2 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64)))

Outputs

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

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

Calls

5 calls:

34.0ms	th
26.0ms	(*.f64 a2 a2)
23.0ms	a2
22.0ms	a1
19.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
67.5%	2	`a1`
67.6%	2	`a2`
68.1%	2	`th`
67.5%	2	`(*.f64 a1 a1)`
67.6%	2	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes31.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
67.4%	2	`(*.f64 a1 a1)`
67.4%	2	`a1`
67.5%	2	`a2`
67.5%	2	`(*.f64 a2 a2)`
63.8%	1	`th`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes29.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	th
6.0ms	a2
5.0ms	a1
5.0ms	(*.f64 a2 a2)
4.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
63.8%	1	`th`
63.8%	1	`(*.f64 a1 a1)`
63.8%	1	`a1`
63.8%	1	`a2`
63.8%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes18.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
63.8%	1	`a1`
63.8%	1	`a2`
63.8%	1	`th`
63.8%	1	`(*.f64 a1 a1)`
63.8%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)

Calls

3 calls:

1.0ms	th
1.0ms	a2
1.0ms	a1

Results

Accuracy	Segments	Branch
13.0%	1	`a1`
13.0%	1	`a2`
13.0%	1	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	7.772895157213189e+95	1.4846182822072521e+99

Results

17.0ms

128×

valid

Compiler

Compiled 284 to 209 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 5.0ms (40.3% of total)

ival-mult: 5.0ms (40.3% of total)

ival-div: 1.0ms (8.1% of total)

ival-add: 1.0ms (8.1% of total)

ival-sqrt: 1.0ms (8.1% of total)

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.817416238114132e+199	6.043077022279118e+208

Compiler

Compiled 28 to 17 computations (39.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary64`
22×	`+-commutative_binary64`
18×	`sub-neg_binary64`
18×	`neg-mul-1_binary64`
16×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	163
1	71	163
2	79	163
3	92	163
4	112	163
5	124	163
6	131	163
7	133	163

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 th #s(literal 38999999999999999454611417945199361274930009305275253434703074043932858460377040293829961821716480 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(if (<=.f64 (.f64 a2 a2) #s(literal 49999999999999998486656110625518082973725163772751181324120875475173424217777037767098169202353125934013756207986941204091067867184139242319692520523619938935511795533394990905590906653083564427444224 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (*.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)

Outputs
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (.f64 (cos.f64 th) a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
(.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 th #s(literal 38999999999999999454611417945199361274930009305275253434703074043932858460377040293829961821716480 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(if (<=.f64 th #s(literal 38999999999999999454611417945199361274930009305275253434703074043932858460377040293829961821716480 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(if (<=.f64 (.f64 a2 a2) #s(literal 49999999999999998486656110625518082973725163772751181324120875475173424217777037767098169202353125934013756207986941204091067867184139242319692520523619938935511795533394990905590906653083564427444224 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (*.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2))
(if (<=.f64 (.f64 a2 a2) #s(literal 49999999999999998486656110625518082973725163772751181324120875475173424217777037767098169202353125934013756207986941204091067867184139242319692520523619938935511795533394990905590906653083564427444224 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (/.f64 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (*.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))

soundness2.4s (19.2%)

Rules

5690×	`+-lowering-+.f64`
5690×	`+-lowering-+.f32`
5250×	`-lowering-.f32`
5250×	`-lowering-.f64`
4708×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	185
1	168	172
2	1504	172
0	8532	172
0	12	13
1	26	12
2	57	12
3	92	12
4	118	12
5	122	12
0	122	12
0	38	257
1	274	190
2	2798	158
0	8623	158
0	226	6570
1	792	6009
2	3309	5768
0	8580	5768
0	781	5651
1	2765	4883
0	9974	4883
0	158	2679
1	568	2231
2	2322	2081
3	5921	2057
0	8638	2057
0	38	246
1	243	225
2	2198	225
0	8886	225
0	15	64
1	79	64
2	721	64
0	8791	64

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 598 to 360 computations (39.8% saved)

preprocess137.0ms (1.1%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 1658 to 1004 computations (39.4% saved)

analyze1.0ms (0%)

sample1.1s (9.1%)

preprocess79.0ms (0.6%)

explain119.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize71.0ms (0.6%)

series31.0ms (0.2%)

rewrite371.0ms (3%)

simplify425.0ms (3.4%)

eval97.0ms (0.8%)

prune89.0ms (0.7%)

simplify214.0ms (1.7%)

localize184.0ms (1.5%)

series41.0ms (0.3%)

rewrite515.0ms (4.1%)

simplify354.0ms (2.8%)

eval265.0ms (2.1%)

prune248.0ms (2%)

simplify221.0ms (1.8%)

localize187.0ms (1.5%)

series30.0ms (0.2%)

rewrite455.0ms (3.6%)

simplify277.0ms (2.2%)

eval554.0ms (4.4%)

prune278.0ms (2.2%)

simplify232.0ms (1.8%)

localize189.0ms (1.5%)

series38.0ms (0.3%)

rewrite359.0ms (2.9%)

simplify369.0ms (2.9%)

eval213.0ms (1.7%)

prune304.0ms (2.4%)

regimes275.0ms (2.2%)

regimes272.0ms (2.2%)

regimes249.0ms (2%)

regimes215.0ms (1.7%)

regimes220.0ms (1.8%)

regimes219.0ms (1.7%)

regimes186.0ms (1.5%)

regimes161.0ms (1.3%)

regimes130.0ms (1%)

regimes31.0ms (0.2%)

regimes29.0ms (0.2%)

regimes18.0ms (0.1%)

regimes4.0ms (0%)

bsearch24.0ms (0.2%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness2.4s (19.2%)

preprocess137.0ms (1.1%)

end0.0ms (0%)

Profiling