Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.4s (13.2%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 709.0ms

ival-mult: 254.0ms (35.8% of total)

ival-cos: 225.0ms (31.8% of total)

ival-sqrt: 75.0ms (10.6% of total)

ival-div: 73.0ms (10.3% of total)

ival-add: 67.0ms (9.5% of total)

const: 12.0ms (1.7% of total)

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

Bogosity

preprocess66.0ms (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)

explain156.0ms (1.5%)

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

89.0ms

512×

valid

Compiler

Compiled 142 to 38 computations (73.2% saved)

Precisions

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

ival-sqrt: 25.0ms (43.1% of total)

ival-mult: 13.0ms (22.4% of total)

ival-cos: 12.0ms (20.7% of total)

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

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

const: 1.0ms (1.7% 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)))
▶	99.5%	(+.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)))

▶

99.5%

(+.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)

simplify11.0ms (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)

localize73.0ms (0.7%)

Localize:

Found 8 expressions of interest:

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

Results

51.0ms

256×

valid

Compiler

Compiled 104 to 16 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-cos: 9.0ms (33% of total)

ival-mult: 9.0ms (33% of total)

ival-add: 4.0ms (14.7% of total)

ival-div: 3.0ms (11% of total)

ival-sqrt: 2.0ms (7.3% of total)

const: 1.0ms (3.7% of total)

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

series21.0ms (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
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))
2.0ms	th	@	inf	(/ (cos th) (sqrt 2))
1.0ms	a1	@	0	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

rewrite287.0ms (2.8%)

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)))

simplify225.0ms (2.2%)

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)))

eval94.0ms (0.9%)

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

prune67.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	776	12	788
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	778	12	790

Accuracy

100.0%

Counts

790 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
▶	65.1%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	65.2%	(/.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)))
	28.3%	(/.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.1%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.2%	(/.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))))
	99.2%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) #s(literal -1 binary64)))
	99.7%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	99.6%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.7%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th))

Compiler

Compiled 420 to 288 computations (31.4% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

208×	`-lowering-.f32`
208×	`-lowering-.f64`
130×	`fma-define`
116×	`fma-lowering-fma.f32`
116×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	175
1	47	175
2	113	175
3	214	175
4	289	175
5	301	175
6	303	175
0	303	175

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize127.0ms (1.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.3%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	98.7%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	99.0%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 a2 (.f64 a2 (cos.f64 th)))
✓	accuracy	99.8%	(*.f64 a2 (cos.f64 th))
✓	accuracy	99.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
✓	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%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.9%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th))
✓	accuracy	99.7%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Results

85.0ms

256×

valid

Compiler

Compiled 189 to 22 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 12.0ms (32.4% of total)

ival-div: 7.0ms (18.9% of total)

ival-cos: 7.0ms (18.9% of total)

ival-pow: 7.0ms (18.9% of total)

ival-sqrt: 2.0ms (5.4% of total)

ival-add: 1.0ms (2.7% of total)

const: 1.0ms (2.7% of total)

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

series19.0ms (0.2%)

Counts

16 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
4.0ms	a1	@	-inf	(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
1.0ms	a1	@	0	(* (* (pow 2 -1/2) (+ (* a1 a1) (* a2 a2))) (cos th))
1.0ms	th	@	inf	(* (* (pow 2 -1/2) (+ (* a1 a1) (* a2 a2))) (cos th))
0.0ms	th	@	0	(* a2 (cos th))
0.0ms	a2	@	inf	(/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))

rewrite370.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4872×	`-lowering-.f32`
4872×	`-lowering-.f64`
3532×	`/-lowering-/.f32`
3532×	`/-lowering-/.f64`
1236×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	111
1	97	105
2	707	105
0	8546	105

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1746

Calls

Call 1

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

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

simplify284.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

5010×	`-lowering-.f32`
5010×	`-lowering-.f64`
3418×	`+-lowering-+.f64`
3418×	`+-lowering-+.f32`
1978×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	4149
1	823	3885
2	3055	3733
0	8318	3733

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval558.0ms (5.4%)

Compiler: Compiled 79308 to 3138 computations (96% saved)

prune251.0ms (2.4%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	2608	26	2634
Fresh	7	0	7
Picked	4	1	5
Done	0	0	0
Total	2619	27	2646

Accuracy

100.0%

Counts

2646 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 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)))))) (sqrt.f64 #s(literal 2 binary64)))
	14.1%	(/.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)))
	8.0%	(/.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 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))))) (sqrt.f64 #s(literal 2 binary64)))
▶	7.6%	(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	4.2%	(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
	8.0%	(/.f64 (/.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 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
	64.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	64.7%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	14.1%	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
✓	65.1%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	65.1%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	4.2%	(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))))
	11.8%	(/.f64 (.f64 (+.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 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)))
	27.7%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
▶	62.9%	(/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2)) (sqrt.f64 #s(literal 2 binary64)))
	64.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
▶	19.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	99.1%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))))
	64.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	99.2%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
▶	14.6%	(.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 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
	99.2%	(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
	65.0%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	64.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
▶	99.2%	(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th))
	99.2%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
	65.1%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 1629 to 749 computations (54% saved)

simplify218.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))
✓	cost-diff	1152	(.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
✓	cost-diff	3200	(/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
✓	cost-diff	3200	(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 a1 (.f64 a1 (*.f64 a1 a1)))
✓	cost-diff	0	(-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	1152	(.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 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th))) a2)
✓	cost-diff	0	(.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2))
✓	cost-diff	0	(/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) 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	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th))

Rules

3348×	`-lowering-.f32`
3348×	`-lowering-.f64`
2740×	`/-lowering-/.f32`
2740×	`/-lowering-/.f64`
1608×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	388
1	122	322
2	363	283
3	1049	257
4	3703	251
0	8606	251

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize190.0ms (1.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	77.7%	(-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))
✓	accuracy	57.7%	(.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
✓	accuracy	27.7%	(/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
✓	accuracy	99.8%	(/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))
✓	accuracy	81.6%	(-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))
✓	accuracy	38.7%	(.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 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
✓	accuracy	99.8%	(/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 #s(literal -1/2 binary64) (.f64 th th))
✓	accuracy	98.5%	(.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2))
✓	accuracy	98.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th))) a2)
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th))
✓	accuracy	99.8%	(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
✓	accuracy	99.3%	(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))

Results

117.0ms

256×

valid

Compiler

Compiled 517 to 42 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 30.0ms (47.8% of total)

ival-div: 13.0ms (20.7% of total)

ival-cos: 7.0ms (11.1% of total)

ival-sqrt: 5.0ms (8% of total)

ival-sub: 4.0ms (6.4% of total)

ival-add: 4.0ms (6.4% of total)

const: 1.0ms (1.6% of total)

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

series45.0ms (0.4%)

Counts

22 → 384

Calls

Call 1

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

Outputs
#<alt (* (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)))>
#<alt (* (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)))>
#<alt (* (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)))>
#<alt (* (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)))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* (pow a2 2) (sqrt 1/2)))>
#<alt (+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* 1/24 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))))))>
#<alt (+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* 1/24 (* (pow a2 2) (sqrt 1/2))))))))>
#<alt (* (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)))>
#<alt (* (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)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (* a2 (sqrt 1/2))>
#<alt (* a2 (sqrt 1/2))>
#<alt (* a2 (sqrt 1/2))>
#<alt (* a2 (sqrt 1/2))>
#<alt (* a2 (sqrt 1/2))>
#<alt (* a2 (sqrt 1/2))>
#<alt (* a2 (sqrt 1/2))>
#<alt (* a2 (sqrt 1/2))>
#<alt (* a2 (sqrt 1/2))>
#<alt (* a2 (sqrt 1/2))>
#<alt (* a2 (sqrt 1/2))>
#<alt (* a2 (sqrt 1/2))>
#<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) (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) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (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 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))>
#<alt (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (pow a2 2)>
#<alt (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))>
#<alt (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))>
#<alt (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))>
#<alt (* -1/2 (* (pow a2 2) (pow th 2)))>
#<alt (* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))>
#<alt (* -1/2 (* (pow a2 2) (pow th 2)))>
#<alt (* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))>
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#<alt (+ (* a1 (- (* a1 (- (* -1 (* a1 (+ (* -1 (* (pow a2 2) (+ a2 (* -1 a2)))) (/ (* (+ a2 (* -1 a2)) (+ (* -1 (* (pow a2 2) (pow (+ a2 (* -1 a2)) 2))) (* -1 (pow a2 4)))) (pow a2 2))))) (+ (* -1 (* (pow a2 2) (pow (+ a2 (* -1 a2)) 2))) (* -1 (pow a2 4))))) (* -1 (* (pow a2 4) (+ a2 (* -1 a2)))))) (pow a2 6))>
#<alt (pow a1 6)>
#<alt (* (pow a1 6) (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))))>
#<alt (* (pow a1 6) (- (+ 1 (* -1 (/ (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2))) (pow a1 2)))) (+ (* -1 (/ a2 a1)) (/ a2 a1))))>
#<alt (* (pow a1 6) (- (+ 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))))))>
#<alt (pow a1 6)>
#<alt (* (pow a1 6) (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))))>
#<alt (* (pow a1 6) (+ 1 (* -1 (/ (+ a2 (+ (* -1 a2) (* -1 (/ (+ (pow a2 2) (pow (+ a2 (* -1 a2)) 2)) a1)))) a1))))>
#<alt (* (pow a1 6) (+ 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))))>
#<alt (pow a1 6)>
#<alt (+ (* -1 (* (pow a1 4) (* a2 (+ a1 (* -1 a1))))) (pow a1 6))>
#<alt (+ (* a2 (- (* -1 (* a2 (+ (* -1 (* (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) (* -1 (pow a1 4))))) (* (pow a1 4) (+ a1 (* -1 a1))))) (pow a1 6))>
#<alt (+ (* a2 (- (* a2 (- (* -1 (* a2 (+ (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (* (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) (* -1 (pow a1 4)))) (pow a1 2))) (* (pow a1 2) (+ a1 (* -1 a1)))))) (+ (* -1 (* (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) (* -1 (pow a1 4))))) (* (pow a1 4) (+ a1 (* -1 a1))))) (pow a1 6))>
#<alt (pow a2 6)>
#<alt (* (pow a2 6) (+ 1 (+ (* -1 (/ a1 a2)) (/ a1 a2))))>
#<alt (* (pow a2 6) (- (+ 1 (* -1 (/ (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2))) (pow a2 2)))) (* -1 (/ (+ a1 (* -1 a1)) a2))))>
#<alt (* (pow a2 6) (- (+ 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)))))))>
#<alt (pow a2 6)>
#<alt (* (pow a2 6) (+ 1 (* -1 (/ (+ a1 (* -1 a1)) a2))))>
#<alt (* (pow a2 6) (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a1 2) a2)) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) a2))) (* -1 (+ a1 (* -1 a1)))) a2))))>
#<alt (* (pow a2 6) (+ 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))))>
#<alt (* -1 (pow a2 8))>
#<alt (* -1 (pow a2 8))>
#<alt (- (pow a1 8) (pow a2 8))>
#<alt (- (pow a1 8) (pow a2 8))>
#<alt (pow a1 8)>
#<alt (pow a1 8)>
#<alt (* (pow a1 8) (+ 1 (* -1 (/ (pow a2 8) (pow a1 8)))))>
#<alt (* (pow a1 8) (+ 1 (* -1 (/ (pow a2 8) (pow a1 8)))))>
#<alt (pow a1 8)>
#<alt (pow a1 8)>
#<alt (* (pow a1 8) (+ 1 (* -1 (/ (pow a2 8) (pow a1 8)))))>
#<alt (* (pow a1 8) (+ 1 (* -1 (/ (pow a2 8) (pow a1 8)))))>
#<alt (pow a1 8)>
#<alt (pow a1 8)>
#<alt (+ (* -1 (pow a2 8)) (pow a1 8))>
#<alt (+ (* -1 (pow a2 8)) (pow a1 8))>
#<alt (* -1 (pow a2 8))>
#<alt (* -1 (pow a2 8))>
#<alt (* (pow a2 8) (- (/ (pow a1 8) (pow a2 8)) 1))>
#<alt (* (pow a2 8) (- (/ (pow a1 8) (pow a2 8)) 1))>
#<alt (* -1 (pow a2 8))>
#<alt (* -1 (pow a2 8))>
#<alt (* (pow a2 8) (- (/ (pow a1 8) (pow a2 8)) 1))>
#<alt (* (pow a2 8) (- (/ (pow a1 8) (pow a2 8)) 1))>
#<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 (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (- (* -1 (/ (pow a1 2) (pow a2 4))) (/ 1 (pow a2 2)))>
#<alt (- (* (pow a1 2) (- (* -1 (/ (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 (/ (+ a2 (* -1 a2)) a1))) (pow a1 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2))) (pow a1 2)))) (+ (* -1 (/ a2 a1)) (/ a2 a1))) (pow a1 2))>
#<alt (/ (- (+ 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))>
#<alt (/ 1 (pow a1 2))>
#<alt (/ (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))) (pow a1 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a2 2) a1)) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) a1))) (* -1 (+ a2 (* -1 a2)))) a1))) (pow a1 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a2 2) (+ a2 (* -1 a2))) a1)) (/ (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2)))) a1)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2)))) a1)) (* -1 (+ a2 (* -1 a2)))) a1))) (pow a1 2))>
#<alt (/ 1 (pow a1 2))>
#<alt (+ (/ 1 (pow a1 2)) (/ (pow a2 2) (pow a1 4)))>
#<alt (+ (* (pow a2 2) (+ (/ 1 (pow a1 4)) (/ (pow a2 2) (pow a1 6)))) (/ 1 (pow a1 2)))>
#<alt (+ (* (pow a2 2) (+ (* (pow a2 2) (+ (/ 1 (pow a1 6)) (/ (pow a2 2) (pow a1 8)))) (/ 1 (pow a1 4)))) (/ 1 (pow a1 2)))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ (- (* -1 (/ (+ a1 (* -1 a1)) a2)) 1) (pow a2 2))>
#<alt (/ (- (* -1 (/ (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2)) (pow a2 2))) (+ 1 (+ (* -1 (/ a1 a2)) (/ a1 a2)))) (pow a2 2))>
#<alt (/ (- (* -1 (/ (+ (* (+ a1 (* -1 a1)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) (* (pow a1 2) (+ a1 (* -1 a1)))) (pow a2 3))) (+ 1 (+ (* -1 (/ a1 a2)) (+ (/ a1 a2) (+ (/ (pow a1 2) (pow a2 2)) (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2))))))) (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ (- (+ (* -1 (/ a1 a2)) (/ a1 a2)) 1) (pow a2 2))>
#<alt (/ (- (* -1 (/ (- (+ (/ (pow a1 2) a2) (/ (pow (+ a1 (* -1 a1)) 2) a2)) (+ a1 (* -1 a1))) a2)) 1) (pow a2 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a1 (* -1 a1)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) a2) (/ (* (pow a1 2) (+ a1 (* -1 a1))) a2)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) a2)) (+ a1 (* -1 a1))) a2)) 1) (pow a2 2))>

Calls

96 calls:

Time	Variable		Point	Expression
7.0ms	a1	@	0	(/ (/ (* (- (* (* a1 (* a1 (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))) (/ (/ 1 (+ a1 a2)) (- a1 a2))) (+ (* a1 (* a1 (* a1 a1))) (* a2 (* a2 (* a2 a2))))) (sqrt 2))
4.0ms	a1	@	inf	(* (/ (- (* a1 (* a1 (* a1 a1))) (* a2 (* a2 (* a2 a2)))) (sqrt 2)) (/ (/ 1 (+ a1 a2)) (- a1 a2)))
1.0ms	a2	@	0	(* (/ (- (* a1 (* a1 (* a1 a1))) (* a2 (* a2 (* a2 a2)))) (sqrt 2)) (/ (/ 1 (+ a1 a2)) (- a1 a2)))
1.0ms	a2	@	0	(/ (* a2 (* (+ 1 (* -1/2 (* th th))) a2)) (sqrt 2))
1.0ms	a1	@	0	(* (/ (- (* a1 (* a1 (* a1 a1))) (* a2 (* a2 (* a2 a2)))) (sqrt 2)) (/ (/ 1 (+ a1 a2)) (- a1 a2)))

rewrite402.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3142×	`/-lowering-/.f32`
3142×	`/-lowering-/.f64`
3028×	`-lowering-.f32`
3028×	`-lowering-.f64`
1526×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	240
1	244	180
2	2142	172
0	8166	172

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 839

Calls

Call 1

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

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

simplify258.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4262×	`-lowering-.f32`
4262×	`-lowering-.f64`
2606×	`+-lowering-+.f64`
2606×	`+-lowering-+.f32`
1228×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	661	5795
1	2366	4277
0	10647	4277

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* (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 a2 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 a2 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 a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (sqrt 1/2))
(+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* (pow a2 2) (sqrt 1/2)))
(+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* 1/24 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))))))
(+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* 1/24 (* (pow a2 2) (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 a2 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 a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* a2 (sqrt 1/2))
(* a2 (sqrt 1/2))
(* a2 (sqrt 1/2))
(* a2 (sqrt 1/2))
(* a2 (sqrt 1/2))
(* a2 (sqrt 1/2))
(* a2 (sqrt 1/2))
(* a2 (sqrt 1/2))
(* a2 (sqrt 1/2))
(* a2 (sqrt 1/2))
(* a2 (sqrt 1/2))
(* a2 (sqrt 1/2))
(/ (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) (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) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(pow a2 2)
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))
(* -1/2 (* (pow a2 2) (pow th 2)))
(* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))
(* -1/2 (* (pow a2 2) (pow th 2)))
(* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(+ a2 (* -1/2 (* a2 (pow th 2))))
(+ a2 (* -1/2 (* a2 (pow th 2))))
(* -1/2 (* a2 (pow th 2)))
(* (pow th 2) (+ (* -1/2 a2) (/ a2 (pow th 2))))
(* (pow th 2) (+ (* -1/2 a2) (/ a2 (pow th 2))))
(* (pow th 2) (+ (* -1/2 a2) (/ a2 (pow th 2))))
(* -1/2 (* a2 (pow th 2)))
(* (pow th 2) (+ (* -1/2 a2) (/ a2 (pow th 2))))
(* (pow th 2) (+ (* -1/2 a2) (/ a2 (pow th 2))))
(* (pow th 2) (+ (* -1/2 a2) (/ a2 (pow th 2))))
(* a2 (+ 1 (* -1/2 (pow th 2))))
(* a2 (+ 1 (* -1/2 (pow th 2))))
(* a2 (+ 1 (* -1/2 (pow th 2))))
(* a2 (+ 1 (* -1/2 (pow th 2))))
(* a2 (+ 1 (* -1/2 (pow th 2))))
(* a2 (+ 1 (* -1/2 (pow th 2))))
(* a2 (+ 1 (* -1/2 (pow th 2))))
(* a2 (+ 1 (* -1/2 (pow th 2))))
(* a2 (+ 1 (* -1/2 (pow th 2))))
(* a2 (+ 1 (* -1/2 (pow th 2))))
(* a2 (+ 1 (* -1/2 (pow th 2))))
(* a2 (+ 1 (* -1/2 (pow th 2))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* -1/2 (pow th 2)))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(/ (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) (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))))
(* -1 (/ (pow a2 4) (sqrt 2)))
(+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))
(+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))
(+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))
(/ (pow a1 4) (sqrt 2))
(* (pow a1 4) (+ (* -1 (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a1 4) (+ (* -1 (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a1 4) (+ (* -1 (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))) (/ 1 (sqrt 2))))
(/ (pow a1 4) (sqrt 2))
(* (pow a1 4) (+ (* -1 (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a1 4) (+ (* -1 (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a1 4) (+ (* -1 (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))) (/ 1 (sqrt 2))))
(/ (pow a1 4) (sqrt 2))
(+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))
(+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))
(+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))
(* -1 (/ (pow a2 4) (sqrt 2)))
(* (pow a2 4) (- (/ (pow a1 4) (* (pow a2 4) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a2 4) (- (/ (pow a1 4) (* (pow a2 4) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a2 4) (- (/ (pow a1 4) (* (pow a2 4) (sqrt 2))) (/ 1 (sqrt 2))))
(* -1 (/ (pow a2 4) (sqrt 2)))
(* (pow a2 4) (- (/ (pow a1 4) (* (pow a2 4) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a2 4) (- (/ (pow a1 4) (* (pow a2 4) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a2 4) (- (/ (pow a1 4) (* (pow a2 4) (sqrt 2))) (/ 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) (sqrt 2))
(+ (/ (* a1 (+ (* -1 (pow a2 5)) (pow a2 5))) (* (pow a2 4) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* a1 (- (* a1 (- (/ 1 (sqrt 2)) (* -1 (/ (pow (+ (* -1 (pow a2 5)) (pow a2 5)) 2) (* (pow a2 10) (sqrt 2)))))) (* -1 (/ (+ (* -1 (pow a2 5)) (pow a2 5)) (* (pow a2 4) (sqrt 2)))))) (/ (pow a2 2) (sqrt 2)))
(+ (* a1 (- (* a1 (- (+ (* -1 (* a1 (+ (* -1 (/ (* (+ (* -1 (pow a2 5)) (pow a2 5)) (- (/ 1 (sqrt 2)) (* -1 (/ (pow (+ (* -1 (pow a2 5)) (pow a2 5)) 2) (* (pow a2 10) (sqrt 2)))))) (pow a2 6))) (* -1 (/ (+ (* -1 (pow a2 5)) (pow a2 5)) (* (pow a2 6) (sqrt 2))))))) (/ 1 (sqrt 2))) (* -1 (/ (pow (+ (* -1 (pow a2 5)) (pow a2 5)) 2) (* (pow a2 10) (sqrt 2)))))) (* -1 (/ (+ (* -1 (pow a2 5)) (pow a2 5)) (* (pow a2 4) (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) (sqrt 2))
(+ (* -1 (* a2 (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(+ (* a2 (- (* a2 (- (/ 1 (sqrt 2)) (* -1 (/ (* (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))) (+ (* -1 (pow a1 5)) (pow a1 5))) (pow a1 6))))) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(+ (* a2 (- (* a2 (- (+ (* -1 (/ (* a2 (* (+ (* -1 (pow a1 5)) (pow a1 5)) (- (/ 1 (sqrt 2)) (* -1 (/ (* (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))) (+ (* -1 (pow a1 5)) (pow a1 5))) (pow a1 6)))))) (pow a1 6))) (/ 1 (sqrt 2))) (* -1 (/ (* (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))) (+ (* -1 (pow a1 5)) (pow a1 5))) (pow a1 6))))) (+ (* -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)
(+ (/ (* a1 (+ (* -1 (pow a2 5)) (pow a2 5))) (pow a2 4)) (pow a2 2))
(+ (* a1 (- (* a1 (- 1 (* -1 (/ (pow (+ (* -1 (pow a2 5)) (pow a2 5)) 2) (pow a2 10))))) (* -1 (/ (+ (* -1 (pow a2 5)) (pow a2 5)) (pow a2 4))))) (pow a2 2))
(+ (* a1 (- (* a1 (- (+ 1 (* -1 (* a1 (+ (* -1 (/ (* (+ (* -1 (pow a2 5)) (pow a2 5)) (- 1 (* -1 (/ (pow (+ (* -1 (pow a2 5)) (pow a2 5)) 2) (pow a2 10))))) (pow a2 6))) (* -1 (/ (+ (* -1 (pow a2 5)) (pow a2 5)) (pow a2 6))))))) (* -1 (/ (pow (+ (* -1 (pow a2 5)) (pow a2 5)) 2) (pow a2 10))))) (* -1 (/ (+ (* -1 (pow a2 5)) (pow a2 5)) (pow a2 4))))) (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))))
(pow a1 2)
(+ (* -1 (* a2 (+ a1 (* -1 a1)))) (pow a1 2))
(+ (* a2 (- (* a2 (- 1 (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (pow a1 5)) (pow a1 5))) (pow a1 6))))) (+ a1 (* -1 a1)))) (pow a1 2))
(+ (* a2 (- (* a2 (- (+ 1 (* -1 (/ (* a2 (* (+ (* -1 (pow a1 5)) (pow a1 5)) (- 1 (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (pow a1 5)) (pow a1 5))) (pow a1 6)))))) (pow a1 6)))) (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (pow a1 5)) (pow a1 5))) (pow a1 6))))) (+ 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 6)
(+ (* a1 (* (pow a2 4) (+ a2 (* -1 a2)))) (pow a2 6))
(+ (* a1 (- (* -1 (* a1 (+ (* -1 (* (pow a2 2) (pow (+ a2 (* -1 a2)) 2))) (* -1 (pow a2 4))))) (* -1 (* (pow a2 4) (+ a2 (* -1 a2)))))) (pow a2 6))
(+ (* a1 (- (* a1 (- (* -1 (* a1 (+ (* -1 (* (pow a2 2) (+ a2 (* -1 a2)))) (/ (* (+ a2 (* -1 a2)) (+ (* -1 (* (pow a2 2) (pow (+ a2 (* -1 a2)) 2))) (* -1 (pow a2 4)))) (pow a2 2))))) (+ (* -1 (* (pow a2 2) (pow (+ a2 (* -1 a2)) 2))) (* -1 (pow a2 4))))) (* -1 (* (pow a2 4) (+ a2 (* -1 a2)))))) (pow a2 6))
(pow a1 6)
(* (pow a1 6) (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))))
(* (pow a1 6) (- (+ 1 (* -1 (/ (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2))) (pow a1 2)))) (+ (* -1 (/ a2 a1)) (/ a2 a1))))
(* (pow a1 6) (- (+ 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 6)
(* (pow a1 6) (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))))
(* (pow a1 6) (+ 1 (* -1 (/ (+ a2 (+ (* -1 a2) (* -1 (/ (+ (pow a2 2) (pow (+ a2 (* -1 a2)) 2)) a1)))) a1))))
(* (pow a1 6) (+ 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))))
(pow a1 6)
(+ (* -1 (* (pow a1 4) (* a2 (+ a1 (* -1 a1))))) (pow a1 6))
(+ (* a2 (- (* -1 (* a2 (+ (* -1 (* (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) (* -1 (pow a1 4))))) (* (pow a1 4) (+ a1 (* -1 a1))))) (pow a1 6))
(+ (* a2 (- (* a2 (- (* -1 (* a2 (+ (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (* (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) (* -1 (pow a1 4)))) (pow a1 2))) (* (pow a1 2) (+ a1 (* -1 a1)))))) (+ (* -1 (* (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) (* -1 (pow a1 4))))) (* (pow a1 4) (+ a1 (* -1 a1))))) (pow a1 6))
(pow a2 6)
(* (pow a2 6) (+ 1 (+ (* -1 (/ a1 a2)) (/ a1 a2))))
(* (pow a2 6) (- (+ 1 (* -1 (/ (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2))) (pow a2 2)))) (* -1 (/ (+ a1 (* -1 a1)) a2))))
(* (pow a2 6) (- (+ 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 6)
(* (pow a2 6) (+ 1 (* -1 (/ (+ a1 (* -1 a1)) a2))))
(* (pow a2 6) (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a1 2) a2)) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) a2))) (* -1 (+ a1 (* -1 a1)))) a2))))
(* (pow a2 6) (+ 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))))
(* -1 (pow a2 8))
(* -1 (pow a2 8))
(- (pow a1 8) (pow a2 8))
(- (pow a1 8) (pow a2 8))
(pow a1 8)
(pow a1 8)
(* (pow a1 8) (+ 1 (* -1 (/ (pow a2 8) (pow a1 8)))))
(* (pow a1 8) (+ 1 (* -1 (/ (pow a2 8) (pow a1 8)))))
(pow a1 8)
(pow a1 8)
(* (pow a1 8) (+ 1 (* -1 (/ (pow a2 8) (pow a1 8)))))
(* (pow a1 8) (+ 1 (* -1 (/ (pow a2 8) (pow a1 8)))))
(pow a1 8)
(pow a1 8)
(+ (* -1 (pow a2 8)) (pow a1 8))
(+ (* -1 (pow a2 8)) (pow a1 8))
(* -1 (pow a2 8))
(* -1 (pow a2 8))
(* (pow a2 8) (- (/ (pow a1 8) (pow a2 8)) 1))
(* (pow a2 8) (- (/ (pow a1 8) (pow a2 8)) 1))
(* -1 (pow a2 8))
(* -1 (pow a2 8))
(* (pow a2 8) (- (/ (pow a1 8) (pow a2 8)) 1))
(* (pow a2 8) (- (/ (pow a1 8) (pow a2 8)) 1))
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)
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(/ -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 (* -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))
(/ 1 (pow a1 2))
(/ (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))) (pow a1 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a2 2) a1)) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) a1))) (* -1 (+ a2 (* -1 a2)))) a1))) (pow a1 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a2 2) (+ a2 (* -1 a2))) a1)) (/ (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2)))) a1)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2)))) a1)) (* -1 (+ a2 (* -1 a2)))) a1))) (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 (/ (+ a1 (* -1 a1)) a2)) 1) (pow a2 2))
(/ (- (* -1 (/ (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2)) (pow a2 2))) (+ 1 (+ (* -1 (/ a1 a2)) (/ a1 a2)))) (pow a2 2))
(/ (- (* -1 (/ (+ (* (+ a1 (* -1 a1)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) (* (pow a1 2) (+ a1 (* -1 a1)))) (pow a2 3))) (+ 1 (+ (* -1 (/ a1 a2)) (+ (/ a1 a2) (+ (/ (pow a1 2) (pow a2 2)) (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2))))))) (pow a2 2))
(/ -1 (pow a2 2))
(/ (- (+ (* -1 (/ a1 a2)) (/ a1 a2)) 1) (pow a2 2))
(/ (- (* -1 (/ (- (+ (/ (pow a1 2) a2) (/ (pow (+ a1 (* -1 a1)) 2) a2)) (+ a1 (* -1 a1))) a2)) 1) (pow a2 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a1 (* -1 a1)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) a2) (/ (* (pow a1 2) (+ a1 (* -1 a1))) a2)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) a2)) (+ a1 (* -1 a1))) a2)) 1) (pow a2 2))

Outputs
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* (pow a2 2) (sqrt 1/2)))
(+.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 a2 a2) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) th) th))))
(+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* 1/24 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))))))
(+.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 a2 a2) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 th th) #s(literal 1/24 binary64))))))
(+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* 1/24 (* (pow a2 2) (sqrt 1/2))))))))
(+.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 th (.f64 th (+.f64 (.f64 (.f64 a2 a2) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) th) th) #s(literal -1/720 binary64))) (.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/24 binary64)))))))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (sqrt 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(* a2 (sqrt 1/2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(* a2 (sqrt 1/2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(* a2 (sqrt 1/2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(* a2 (sqrt 1/2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(* a2 (sqrt 1/2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(* a2 (sqrt 1/2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(* a2 (sqrt 1/2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(* a2 (sqrt 1/2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(* a2 (sqrt 1/2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(* a2 (sqrt 1/2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(* a2 (sqrt 1/2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
(* a2 (sqrt 1/2))
(*.f64 a2 (sqrt.f64 #s(literal 1/2 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) (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) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th 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))))
(+ (* -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))))
(+ (* -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))))
(* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))
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(* (pow a2 6) (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a1 2) a2)) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) a2))) (* -1 (+ a1 (* -1 a1)))) a2))))
(.f64 (pow.f64 a2 #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) a2) (/.f64 (.f64 a1 a1) a2)) #s(literal 0 binary64)) a2)))
(* (pow a2 6) (+ 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))))
(.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) a2) (/.f64 #s(literal 0 binary64) a2)) (*.f64 a1 a1)) a2) #s(literal 0 binary64))) a2)))
(* -1 (pow a2 8))
(-.f64 #s(literal 0 binary64) (pow.f64 a2 #s(literal 8 binary64)))
(* -1 (pow a2 8))
(-.f64 #s(literal 0 binary64) (pow.f64 a2 #s(literal 8 binary64)))
(- (pow a1 8) (pow a2 8))
(-.f64 (pow.f64 a1 #s(literal 8 binary64)) (pow.f64 a2 #s(literal 8 binary64)))
(- (pow a1 8) (pow a2 8))
(-.f64 (pow.f64 a1 #s(literal 8 binary64)) (pow.f64 a2 #s(literal 8 binary64)))
(pow a1 8)
(pow.f64 a1 #s(literal 8 binary64))
(pow a1 8)
(pow.f64 a1 #s(literal 8 binary64))
(* (pow a1 8) (+ 1 (* -1 (/ (pow a2 8) (pow a1 8)))))
(*.f64 (pow.f64 a1 #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 8 binary64)) (pow.f64 a1 #s(literal 8 binary64)))))
(* (pow a1 8) (+ 1 (* -1 (/ (pow a2 8) (pow a1 8)))))
(*.f64 (pow.f64 a1 #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 8 binary64)) (pow.f64 a1 #s(literal 8 binary64)))))
(pow a1 8)
(pow.f64 a1 #s(literal 8 binary64))
(pow a1 8)
(pow.f64 a1 #s(literal 8 binary64))
(* (pow a1 8) (+ 1 (* -1 (/ (pow a2 8) (pow a1 8)))))
(*.f64 (pow.f64 a1 #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 8 binary64)) (pow.f64 a1 #s(literal 8 binary64)))))
(* (pow a1 8) (+ 1 (* -1 (/ (pow a2 8) (pow a1 8)))))
(*.f64 (pow.f64 a1 #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 8 binary64)) (pow.f64 a1 #s(literal 8 binary64)))))
(pow a1 8)
(pow.f64 a1 #s(literal 8 binary64))
(pow a1 8)
(pow.f64 a1 #s(literal 8 binary64))
(+ (* -1 (pow a2 8)) (pow a1 8))
(-.f64 (pow.f64 a1 #s(literal 8 binary64)) (pow.f64 a2 #s(literal 8 binary64)))
(+ (* -1 (pow a2 8)) (pow a1 8))
(-.f64 (pow.f64 a1 #s(literal 8 binary64)) (pow.f64 a2 #s(literal 8 binary64)))
(* -1 (pow a2 8))
(-.f64 #s(literal 0 binary64) (pow.f64 a2 #s(literal 8 binary64)))
(* -1 (pow a2 8))
(-.f64 #s(literal 0 binary64) (pow.f64 a2 #s(literal 8 binary64)))
(* (pow a2 8) (- (/ (pow a1 8) (pow a2 8)) 1))
(*.f64 (pow.f64 a2 #s(literal 8 binary64)) (+.f64 (/.f64 (pow.f64 a1 #s(literal 8 binary64)) (pow.f64 a2 #s(literal 8 binary64))) #s(literal -1 binary64)))
(* (pow a2 8) (- (/ (pow a1 8) (pow a2 8)) 1))
(*.f64 (pow.f64 a2 #s(literal 8 binary64)) (+.f64 (/.f64 (pow.f64 a1 #s(literal 8 binary64)) (pow.f64 a2 #s(literal 8 binary64))) #s(literal -1 binary64)))
(* -1 (pow a2 8))
(-.f64 #s(literal 0 binary64) (pow.f64 a2 #s(literal 8 binary64)))
(* -1 (pow a2 8))
(-.f64 #s(literal 0 binary64) (pow.f64 a2 #s(literal 8 binary64)))
(* (pow a2 8) (- (/ (pow a1 8) (pow a2 8)) 1))
(*.f64 (pow.f64 a2 #s(literal 8 binary64)) (+.f64 (/.f64 (pow.f64 a1 #s(literal 8 binary64)) (pow.f64 a2 #s(literal 8 binary64))) #s(literal -1 binary64)))
(* (pow a2 8) (- (/ (pow a1 8) (pow a2 8)) 1))
(*.f64 (pow.f64 a2 #s(literal 8 binary64)) (+.f64 (/.f64 (pow.f64 a1 #s(literal 8 binary64)) (pow.f64 a2 #s(literal 8 binary64))) #s(literal -1 binary64)))
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 th (.f64 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)
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(/ -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 #s(literal 0 binary64) (.f64 a1 a1)) (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 #s(literal 0 binary64) (.f64 a1 a1)) (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 (* -1 (/ (+ a2 (* -1 a2)) a1))) (pow a1 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) a1)) (*.f64 a1 a1))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2))) (pow a1 2)))) (+ (* -1 (/ a2 a1)) (/ a2 a1))) (pow a1 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))
(/ (- (+ 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))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 a1 (.f64 a1 a1))) (+.f64 (+.f64 (/.f64 (.f64 a2 a2) (-.f64 #s(literal 0 binary64) (.f64 a1 a1))) (/.f64 #s(literal 0 binary64) (.f64 a1 a1))) #s(literal 0 binary64)))) (.f64 a1 a1))
(/ 1 (pow a1 2))
(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
(/ (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))) (pow a1 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) a1)) (*.f64 a1 a1))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a2 2) a1)) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) a1))) (* -1 (+ a2 (* -1 a2)))) a1))) (pow a1 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) a1) (/.f64 (.f64 a2 a2) a1)) a1)) (.f64 a1 a1))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a2 2) (+ a2 (* -1 a2))) a1)) (/ (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2)))) a1)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2)))) a1)) (* -1 (+ a2 (* -1 a2)))) a1))) (pow a1 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a1) (+.f64 (.f64 a2 a2) (/.f64 #s(literal 0 binary64) a1))) (-.f64 #s(literal 0 binary64) a1)) a1)) (.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 (/ (+ a1 (* -1 a1)) a2)) 1) (pow a2 2))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a2) #s(literal -1 binary64)) (*.f64 a2 a2))
(/ (- (* -1 (/ (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2)) (pow a2 2))) (+ 1 (+ (* -1 (/ a1 a2)) (/ a1 a2)))) (pow a2 2))
(/.f64 (+.f64 (/.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) #s(literal -1 binary64)) (*.f64 a2 a2))
(/ (- (* -1 (/ (+ (* (+ a1 (* -1 a1)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) (* (pow a1 2) (+ a1 (* -1 a1)))) (pow a2 3))) (+ 1 (+ (* -1 (/ a1 a2)) (+ (/ a1 a2) (+ (/ (pow a1 2) (pow a2 2)) (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2))))))) (pow a2 2))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 0 binary64) (.f64 a2 a2))))) (.f64 a2 a2))
(/ -1 (pow a2 2))
(/.f64 #s(literal -1 binary64) (*.f64 a2 a2))
(/ (- (+ (* -1 (/ a1 a2)) (/ a1 a2)) 1) (pow a2 2))
(/.f64 #s(literal -1 binary64) (*.f64 a2 a2))
(/ (- (* -1 (/ (- (+ (/ (pow a1 2) a2) (/ (pow (+ a1 (* -1 a1)) 2) a2)) (+ a1 (* -1 a1))) a2)) 1) (pow a2 2))
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) a2) (/.f64 (.f64 a1 a1) a2)) #s(literal 0 binary64)) a2) #s(literal -1 binary64)) (.f64 a2 a2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a1 (* -1 a1)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) a2) (/ (* (pow a1 2) (+ a1 (* -1 a1))) a2)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) a2)) (+ a1 (* -1 a1))) a2)) 1) (pow a2 2))
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a2) (-.f64 (/.f64 #s(literal 0 binary64) a2) (.f64 a1 a1))) a2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) a2)) #s(literal -1 binary64)) (.f64 a2 a2))

eval177.0ms (1.7%)

Compiler: Compiled 76149 to 3515 computations (95.4% saved)

prune194.0ms (1.9%)

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	1421	20	1441
Fresh	5	16	21
Picked	4	1	5
Done	0	1	1
Total	1430	38	1468

Accuracy

100.0%

Counts

1468 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	14.1%	(/.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)))
	7.6%	(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	7.3%	(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
▶	8.0%	(/.f64 (/.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 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
	64.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	64.7%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	14.1%	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
✓	65.1%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	65.1%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	4.2%	(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))))
	11.8%	(/.f64 (.f64 (+.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 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)))
	27.7%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
▶	20.5%	(/.f64 (.f64 (.f64 a2 a2) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (sqrt.f64 #s(literal 2 binary64)))
▶	57.1%	(/.f64 (.f64 a2 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
	54.1%	(/.f64 (.f64 a2 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) a2) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (-.f64 (.f64 th (*.f64 th #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
	57.1%	(/.f64 (.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))))) a2)) (sqrt.f64 #s(literal 2 binary64)))
	18.9%	(/.f64 (.f64 a2 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) a2)) (sqrt.f64 #s(literal 2 binary64)))
	64.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	19.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	99.1%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))))
	19.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
	39.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 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 a2 a1))))
	64.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	7.3%	(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
	4.3%	(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 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 a1 a2)) (-.f64 a1 a2)))
	9.5%	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a1 a1)))
	13.4%	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2)))
	15.5%	(.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
	99.2%	(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
	19.0%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	65.0%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	64.7%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (*.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	64.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
▶	99.2%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 (cos.f64 th))) a2)
	99.2%	(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
	65.1%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	64.6%	(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 2326 to 1124 computations (51.7% saved)

simplify224.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))
✓	cost-diff	128	(/.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 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2))))))
✓	cost-diff	128	(/.f64 (/.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 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (*.f64 th th)))) a2)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
✓	cost-diff	0	(.f64 a2 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))))
✓	cost-diff	0	(/.f64 (.f64 a2 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 th th))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(.f64 (.f64 a2 a2) (.f64 #s(literal -1/2 binary64) (.f64 th th)))
✓	cost-diff	0	(/.f64 (.f64 (.f64 a2 a2) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 a2 (cos.f64 th))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (cos.f64 th)))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 (cos.f64 th))) a2)

Rules

4490×	`-lowering-.f32`
4490×	`-lowering-.f64`
2196×	`+-lowering-+.f64`
2196×	`+-lowering-+.f32`
1978×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	398
1	132	328
2	336	307
3	901	307
4	2895	307
5	7028	307
0	8028	307

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (sqrt 1/2) (* a2 (cos th))) a2)
(* (sqrt 1/2) (* a2 (cos th)))
(sqrt 1/2)
1/2
(* a2 (cos th))
a2
(cos th)
th
(* a2 (* a2 (sqrt 1/2)))
a2
(* a2 (sqrt 1/2))
(sqrt 1/2)
1/2
(/ (* (* a2 a2) (* -1/2 (* th th))) (sqrt 2))
(* (* a2 a2) (* -1/2 (* th th)))
(* a2 a2)
a2
(* -1/2 (* th th))
-1/2
(* th th)
th
(sqrt 2)
2
(/ (* a2 (/ (* (- 1 (* 1/4 (* (* th th) (* th th)))) a2) (+ 1 (* 1/2 (* th th))))) (sqrt 2))
(* a2 (/ (* (- 1 (* 1/4 (* (* th th) (* th th)))) a2) (+ 1 (* 1/2 (* th th)))))
a2
(/ (* (- 1 (* 1/4 (* (* th th) (* th th)))) a2) (+ 1 (* 1/2 (* th th))))
(* (- 1 (* 1/4 (* (* th th) (* th th)))) a2)
(- 1 (* 1/4 (* (* th th) (* th th))))
1
(* 1/4 (* (* th th) (* th th)))
1/4
(* (* th th) (* th th))
(* th th)
th
(+ 1 (* 1/2 (* th th)))
(* 1/2 (* th th))
1/2
(sqrt 2)
2
(/ (/ 1 (/ (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))))) (sqrt 2))
(/ 1 (/ (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))))
1
(/ (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))))
(+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))
(* a2 (* a2 (* a2 a2)))
a2
(* a2 (* a2 a2))
(* a2 a2)
(* (* a1 a1) (- (* a1 a1) (* a2 a2)))
(* a1 a1)
a1
(- (* a1 a1) (* a2 a2))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))
(* (* a1 a1) (* a1 (* a1 (* a1 a1))))
(* a1 (* a1 (* a1 a1)))
(* a1 (* a1 a1))
(* (* a2 (* a2 a2)) (* a2 (* a2 a2)))
(sqrt 2)
2

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

localize190.0ms (1.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	89.8%	(-.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	80.2%	(.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	76.0%	(+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
✓	accuracy	20.9%	(/.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (.f64 th th))
✓	accuracy	99.2%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (*.f64 th th)))) a2)
✓	accuracy	98.5%	(.f64 a2 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))))
✓	accuracy	70.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(/.f64 (.f64 (.f64 a2 a2) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 #s(literal -1/2 binary64) (.f64 th th))
✓	accuracy	75.9%	(.f64 (.f64 a2 a2) (.f64 #s(literal -1/2 binary64) (.f64 th th)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	99.8%	(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
✓	accuracy	99.3%	(*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(*.f64 a2 (cos.f64 th))
✓	accuracy	99.8%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 (cos.f64 th))) a2)
✓	accuracy	99.3%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (cos.f64 th)))

Results

118.0ms

256×

valid

Compiler

Compiled 470 to 45 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 38.0ms (54.8% of total)

ival-div: 13.0ms (18.7% of total)

ival-cos: 6.0ms (8.6% of total)

ival-add: 5.0ms (7.2% of total)

ival-sqrt: 4.0ms (5.8% of total)

ival-sub: 3.0ms (4.3% of total)

const: 1.0ms (1.4% of total)

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

series34.0ms (0.3%)

Counts

23 → 432

Calls

Call 1

Inputs
#<alt (* (* (sqrt 1/2) (* a2 (cos th))) a2)>
#<alt (* (sqrt 1/2) (* a2 (cos th)))>
#<alt (sqrt 1/2)>
#<alt (* a2 (cos th))>
#<alt (* a2 (* a2 (sqrt 1/2)))>
#<alt (* a2 (sqrt 1/2))>
#<alt (/ (* (* a2 a2) (* -1/2 (* th th))) (sqrt 2))>
#<alt (* (* a2 a2) (* -1/2 (* th th)))>
#<alt (* a2 a2)>
#<alt (* -1/2 (* th th))>
#<alt (/ (* a2 (/ (* (- 1 (* 1/4 (* (* th th) (* th th)))) a2) (+ 1 (* 1/2 (* th th))))) (sqrt 2))>
#<alt (* a2 (/ (* (- 1 (* 1/4 (* (* th th) (* th th)))) a2) (+ 1 (* 1/2 (* th th)))))>
#<alt (/ (* (- 1 (* 1/4 (* (* th th) (* th th)))) a2) (+ 1 (* 1/2 (* th th))))>
#<alt (* (- 1 (* 1/4 (* (* th th) (* th th)))) a2)>
#<alt (/ (/ 1 (/ (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))))) (sqrt 2))>
#<alt (/ 1 (/ (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))))>
#<alt (/ (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))))>
#<alt (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))>
#<alt (cos th)>
#<alt (sqrt 2)>
#<alt (* 1/2 (* th th))>
#<alt (* (* a1 a1) (- (* a1 a1) (* a2 a2)))>
#<alt (- (* a1 a1) (* a2 a2))>

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

Calls

108 calls:

Time	Variable		Expression
3.0ms	a2	@	(/ (* (* a2 a2) (* -1/2 (* th th))) (sqrt 2))
2.0ms	a2	@	(/ (* a2 (/ (* (- 1 (* 1/4 (* (* th th) (* th th)))) a2) (+ 1 (* 1/2 (* th th))))) (sqrt 2))
2.0ms	th	@	(* a2 (/ (* (- 1 (* 1/4 (* (* th th) (* th th)))) a2) (+ 1 (* 1/2 (* th th)))))
1.0ms	a2	@	(/ (/ 1 (/ (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))))) (sqrt 2))
1.0ms	a1	@	(/ (/ 1 (/ (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))))) (sqrt 2))

rewrite343.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3806×	`/-lowering-/.f32`
3806×	`/-lowering-/.f64`
3614×	`-lowering-.f32`
3614×	`-lowering-.f64`
1522×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	268
1	240	208
2	1858	203
0	8536	203

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 612

Calls

Call 1

Inputs
(* (* (sqrt 1/2) (* a2 (cos th))) a2)
(* (sqrt 1/2) (* a2 (cos th)))
(sqrt 1/2)
(* a2 (cos th))
(* a2 (* a2 (sqrt 1/2)))
(* a2 (sqrt 1/2))
(/ (* (* a2 a2) (* -1/2 (* th th))) (sqrt 2))
(* (* a2 a2) (* -1/2 (* th th)))
(* a2 a2)
(* -1/2 (* th th))
(/ (* a2 (/ (* (- 1 (* 1/4 (* (* th th) (* th th)))) a2) (+ 1 (* 1/2 (* th th))))) (sqrt 2))
(* a2 (/ (* (- 1 (* 1/4 (* (* th th) (* th th)))) a2) (+ 1 (* 1/2 (* th th)))))
(/ (* (- 1 (* 1/4 (* (* th th) (* th th)))) a2) (+ 1 (* 1/2 (* th th))))
(* (- 1 (* 1/4 (* (* th th) (* th th)))) a2)
(/ (/ 1 (/ (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))))) (sqrt 2))
(/ 1 (/ (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2))))))
(/ (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 (* a2 a2)) (* a2 (* a2 a2)))))
(+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))
(cos th)
(sqrt 2)
(* 1/2 (* th th))
(* (* a1 a1) (- (* a1 a1) (* a2 a2)))
(- (* a1 a1) (* a2 a2))

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

simplify259.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3312×	`-lowering-.f32`
3312×	`-lowering-.f64`
3114×	`+-lowering-+.f64`
3114×	`+-lowering-+.f32`
1028×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	4646
1	972	4497
2	3561	4314
0	8412	4314

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

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

eval134.0ms (1.3%)

Compiler: Compiled 49315 to 2860 computations (94.2% saved)

prune162.0ms (1.6%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	1120	17	1137
Fresh	7	24	31
Picked	4	1	5
Done	0	2	2
Total	1131	44	1175

Accuracy

100.0%

Counts

1175 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	14.1%	(/.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)))
	7.6%	(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	7.3%	(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	2.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	8.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
	64.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	19.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	64.7%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	14.1%	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
✓	65.1%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	8.0%	(/.f64 (.f64 (/.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 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
	4.2%	(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))))
	27.7%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	57.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))) (.f64 (/.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) a2)) (sqrt.f64 #s(literal 2 binary64)))
	22.4%	(/.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) th) th) (sqrt.f64 #s(literal 2 binary64)))
	18.9%	(/.f64 (.f64 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2) (sqrt.f64 #s(literal 2 binary64)))
	54.1%	(/.f64 (.f64 a2 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) (.f64 th (.f64 th (.f64 th th)))))) a2) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 (.f64 th (.f64 th th)) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
	54.1%	(/.f64 (.f64 a2 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) a2) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (-.f64 (.f64 th (*.f64 th #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
	13.2%	(/.f64 (.f64 a2 (/.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 a2 #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
	57.6%	(/.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)))
	57.1%	(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th)))))
	64.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	19.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	99.1%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))))
	19.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
	39.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 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 a2 a1))))
	64.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	7.3%	(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
	4.3%	(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 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 a1 a2)) (-.f64 a1 a2)))
	9.5%	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a1 a1)))
	13.4%	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2)))
	15.5%	(.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
	63.0%	(.f64 (/.f64 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
	99.2%	(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
	19.0%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	65.0%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	20.5%	(.f64 (.f64 (.f64 a2 a2) (neg.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	99.2%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 (cos.f64 th))) a2)
	99.2%	(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
	64.6%	(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
	20.5%	(.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	65.1%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	18.9%	(.f64 a2 (.f64 a2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 3215 to 946 computations (70.6% saved)

regimes210.0ms (2%)

Counts

77 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a1 (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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.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 a2 (.f64 a2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (.f64 a2 a2) (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 a2 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) 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)))
(/.f64 (.f64 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) th) th) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.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 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.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 (.f64 (.f64 a2 a2) (neg.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (*.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (-.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)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.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 #s(literal 1 binary64) (.f64 a1 a1)))
(/.f64 (.f64 a2 (/.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 a2 #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th)))))
(/.f64 (.f64 a2 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))) (.f64 (/.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.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 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 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 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 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 a2 a1))))
(/.f64 (.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) a2) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (-.f64 (.f64 th (*.f64 th #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) (.f64 th (.f64 th (.f64 th th)))))) a2) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 (.f64 th (.f64 th th)) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 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))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.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 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.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 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 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)))) (.f64 (+.f64 (.f64 a1 a1) (.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 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 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)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 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 a1 a2)) (-.f64 a1 a2)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 (cos.f64 th))) a2)
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))))
(/.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 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.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 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.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) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

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

Calls

8 calls:

36.0ms	a1
25.0ms	(*.f64 a2 a2)
24.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
23.0ms	a2
23.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes154.0ms (1.5%)

Counts

72 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a1 (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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.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 a2 (.f64 a2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (.f64 a2 a2) (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 a2 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) 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)))
(/.f64 (.f64 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) th) th) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.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 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.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 (.f64 (.f64 a2 a2) (neg.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (*.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (-.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)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.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 #s(literal 1 binary64) (.f64 a1 a1)))
(/.f64 (.f64 a2 (/.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 a2 #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th)))))
(/.f64 (.f64 a2 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))) (.f64 (/.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.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 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 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 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 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 a2 a1))))
(/.f64 (.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) a2) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (-.f64 (.f64 th (*.f64 th #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) (.f64 th (.f64 th (.f64 th th)))))) a2) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 (.f64 th (.f64 th th)) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 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))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.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 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.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 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 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)))) (.f64 (+.f64 (.f64 a1 a1) (.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 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 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)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 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 a1 a2)) (-.f64 a1 a2)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 (cos.f64 th))) a2)
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))))
(/.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 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.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 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))

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

Calls

7 calls:

21.0ms	(cos.f64 th)
21.0ms	a1
21.0ms	a2
20.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
20.0ms	th

Results

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes189.0ms (1.8%)

Counts

71 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a1 (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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.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 a2 (.f64 a2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (.f64 a2 a2) (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 a2 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) 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)))
(/.f64 (.f64 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) th) th) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.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 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.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 (.f64 (.f64 a2 a2) (neg.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (*.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (-.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)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.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 #s(literal 1 binary64) (.f64 a1 a1)))
(/.f64 (.f64 a2 (/.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 a2 #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th)))))
(/.f64 (.f64 a2 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))) (.f64 (/.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.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 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 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 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 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 a2 a1))))
(/.f64 (.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) a2) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (-.f64 (.f64 th (*.f64 th #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) (.f64 th (.f64 th (.f64 th th)))))) a2) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 (.f64 th (.f64 th th)) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 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))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.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 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.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 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 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)))) (.f64 (+.f64 (.f64 a1 a1) (.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 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 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)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 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 a1 a2)) (-.f64 a1 a2)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 (cos.f64 th))) a2)
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))))
(/.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 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.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)))

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

Calls

7 calls:

26.0ms	a2
24.0ms	(*.f64 a2 a2)
23.0ms	th
20.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
20.0ms	a1

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)

regimes202.0ms (2%)

Counts

70 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a1 (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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.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 a2 (.f64 a2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (.f64 a2 a2) (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 a2 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) 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)))
(/.f64 (.f64 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) th) th) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.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 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.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 (.f64 (.f64 a2 a2) (neg.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (*.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (-.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)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.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 #s(literal 1 binary64) (.f64 a1 a1)))
(/.f64 (.f64 a2 (/.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 a2 #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th)))))
(/.f64 (.f64 a2 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))) (.f64 (/.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.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 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 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 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 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 a2 a1))))
(/.f64 (.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) a2) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (-.f64 (.f64 th (*.f64 th #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) (.f64 th (.f64 th (.f64 th th)))))) a2) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 (.f64 th (.f64 th th)) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 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))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.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 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.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 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 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)))) (.f64 (+.f64 (.f64 a1 a1) (.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 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 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)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 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 a1 a2)) (-.f64 a1 a2)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 (cos.f64 th))) a2)
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))))
(/.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 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.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:

45.0ms	a1
38.0ms	a2
23.0ms	th
22.0ms	(cos.f64 th)
22.0ms	(*.f64 a2 a2)

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)

regimes183.0ms (1.8%)

Counts

68 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a1 (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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.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 a2 (.f64 a2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (.f64 a2 a2) (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 a2 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) 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)))
(/.f64 (.f64 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) th) th) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.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 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.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 (.f64 (.f64 a2 a2) (neg.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (*.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (-.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)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.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 #s(literal 1 binary64) (.f64 a1 a1)))
(/.f64 (.f64 a2 (/.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 a2 #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th)))))
(/.f64 (.f64 a2 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))) (.f64 (/.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.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 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 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 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 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 a2 a1))))
(/.f64 (.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) a2) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (-.f64 (.f64 th (*.f64 th #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) (.f64 th (.f64 th (.f64 th th)))))) a2) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 (.f64 th (.f64 th th)) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 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))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.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 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.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 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 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)))) (.f64 (+.f64 (.f64 a1 a1) (.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 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 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)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 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 a1 a2)) (-.f64 a1 a2)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 (cos.f64 th))) a2)
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))))
(/.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 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.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:

50.0ms	(cos.f64 th)
23.0ms	th
21.0ms	a2
20.0ms	a1
19.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.5%	1	`a1`
99.5%	1	`th`
99.5%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.5%	1	`(cos.f64 th)`
99.5%	1	`(*.f64 a1 a1)`
99.5%	1	`a2`
99.5%	1	`(*.f64 a2 a2)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes135.0ms (1.3%)

Counts

67 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a1 (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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.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 a2 (.f64 a2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (.f64 a2 a2) (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 a2 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) 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)))
(/.f64 (.f64 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) th) th) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.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 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.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 (.f64 (.f64 a2 a2) (neg.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (*.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (-.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)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.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 #s(literal 1 binary64) (.f64 a1 a1)))
(/.f64 (.f64 a2 (/.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 a2 #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th)))))
(/.f64 (.f64 a2 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))) (.f64 (/.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.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 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 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 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 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 a2 a1))))
(/.f64 (.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) a2) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (-.f64 (.f64 th (*.f64 th #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) (.f64 th (.f64 th (.f64 th th)))))) a2) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 (.f64 th (.f64 th th)) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 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))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.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 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.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 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 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)))) (.f64 (+.f64 (.f64 a1 a1) (.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 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 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)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 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 a1 a2)) (-.f64 a1 a2)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 (cos.f64 th))) a2)
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))))
(/.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 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))

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

Calls

6 calls:

22.0ms	a1
20.0ms	th
20.0ms	(cos.f64 th)
19.0ms	a2
18.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes128.0ms (1.2%)

Counts

59 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a1 (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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.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 a2 (.f64 a2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (.f64 a2 a2) (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 a2 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) 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)))
(/.f64 (.f64 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) th) th) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.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 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.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 (.f64 (.f64 a2 a2) (neg.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (*.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (-.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)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.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 #s(literal 1 binary64) (.f64 a1 a1)))
(/.f64 (.f64 a2 (/.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 a2 #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th)))))
(/.f64 (.f64 a2 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))) (.f64 (/.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.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 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 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 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 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 a2 a1))))
(/.f64 (.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) a2) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (-.f64 (.f64 th (*.f64 th #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) (.f64 th (.f64 th (.f64 th th)))))) a2) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 (.f64 th (.f64 th th)) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 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))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.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 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.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 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 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)))) (.f64 (+.f64 (.f64 a1 a1) (.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 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 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)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 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 a1 a2)) (-.f64 a1 a2)))
(.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:

22.0ms	a1
21.0ms	th
20.0ms	(*.f64 a1 a1)
20.0ms	a2
16.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes137.0ms (1.3%)

Counts

58 → 2

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a1 (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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.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 a2 (.f64 a2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (.f64 a2 a2) (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 a2 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) 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)))
(/.f64 (.f64 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) th) th) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.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 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.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 (.f64 (.f64 a2 a2) (neg.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (*.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (-.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)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.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 #s(literal 1 binary64) (.f64 a1 a1)))
(/.f64 (.f64 a2 (/.f64 (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 a2 #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th)))))
(/.f64 (.f64 a2 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) #s(literal -1/4 binary64))) (.f64 (/.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.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 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 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 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 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 a2 a1))))
(/.f64 (.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))))) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 th (.f64 th th))))) a2) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (-.f64 (.f64 th (*.f64 th #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 th (.f64 th (.f64 th th))) (.f64 th (.f64 th (.f64 th th)))))) a2) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 (.f64 th (.f64 th th)) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 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))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (/.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 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.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 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 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)))) (.f64 (+.f64 (.f64 a1 a1) (.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 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 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)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a2 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 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 a1 a2)) (-.f64 a1 a2)))

Outputs

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

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

Calls

5 calls:

61.0ms	a2
21.0ms	th
17.0ms	(*.f64 a1 a1)
16.0ms	a1
15.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
68.5%	2	`a1`
69.8%	2	`a2`
69.2%	3	`th`
68.5%	2	`(*.f64 a1 a1)`
69.1%	2	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes36.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	a2
8.0ms	a1
6.0ms	th
5.0ms	(*.f64 a2 a2)
5.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
67.2%	2	`th`
65.1%	1	`(*.f64 a1 a1)`
65.1%	1	`a1`
65.1%	1	`(*.f64 a2 a2)`
65.1%	1	`a2`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes34.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	a2
8.0ms	th
5.0ms	a1
5.0ms	(*.f64 a2 a2)
5.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
65.1%	1	`a1`
65.1%	1	`a2`
65.1%	1	`(*.f64 a1 a1)`
65.1%	1	`(*.f64 a2 a2)`
65.1%	1	`th`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes16.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(*.f64 a2 a2)
3.0ms	a2
3.0ms	a1
3.0ms	th
2.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
64.6%	1	`th`
64.6%	1	`a1`
64.6%	1	`a2`
64.6%	1	`(*.f64 a1 a1)`
64.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes62.0ms (0.6%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	a1
1.0ms	a2
1.0ms	th

Results

Accuracy	Segments	Branch
64.6%	1	`th`
64.6%	1	`a1`
64.6%	1	`a2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	6.546008328045697e+195	4.827731422336202e+198

Results

9.0ms

80×

valid

Compiler

Compiled 188 to 137 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 2.0ms (33.6% of total)

ival-mult: 2.0ms (33.6% of total)

ival-div: 1.0ms (16.8% of total)

ival-sqrt: 1.0ms (16.8% of total)

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

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8300954021898051.0	350019232182170430.0

Results

13.0ms

112×

valid

Compiler

Compiled 238 to 171 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 4.0ms (45.1% of total)

ival-mult: 3.0ms (33.8% of total)

ival-div: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

ival-sqrt: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	160
1	69	160

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th))
(/.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)) (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 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 a2 #s(literal 7999999999999999816622118155437753568331721553507030910195578724580654378782833831155350881983279502462052806368900319775452933165481453593866142511609928589360034936396924353680879400658745163776 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 th #s(literal 72000000000000000 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (.f64 (.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) th) th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))

Outputs
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th))
(/.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)) (cos.f64 th)) (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 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 a2 #s(literal 7999999999999999816622118155437753568331721553507030910195578724580654378782833831155350881983279502462052806368900319775452933165481453593866142511609928589360034936396924353680879400658745163776 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 a2 #s(literal 7999999999999999816622118155437753568331721553507030910195578724580654378782833831155350881983279502462052806368900319775452933165481453593866142511609928589360034936396924353680879400658745163776 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 th #s(literal 72000000000000000 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (.f64 (.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) th) th) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 th #s(literal 72000000000000000 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 th (.f64 th (.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))

soundness1.9s (18.1%)

Rules

5250×	`-lowering-.f32`
5250×	`-lowering-.f64`
5010×	`-lowering-.f32`
5010×	`-lowering-.f64`
4708×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	661	5795
1	2366	4277
0	10647	4277
0	158	2679
1	568	2231
2	2322	2081
3	5921	2057
0	8638	2057
0	12	13
1	26	12
2	57	12
3	92	12
4	118	12
5	122	12
0	122	12
0	44	268
1	240	208
2	1858	203
0	8536	203
0	254	4149
1	823	3885
2	3055	3733
0	8318	3733
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×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 565 to 336 computations (40.5% saved)

preprocess95.0ms (0.9%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 1186 to 692 computations (41.7% saved)

analyze0.0ms (0%)

sample1.4s (13.2%)

preprocess66.0ms (0.6%)

explain156.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize73.0ms (0.7%)

series21.0ms (0.2%)

rewrite287.0ms (2.8%)

simplify225.0ms (2.2%)

eval94.0ms (0.9%)

prune67.0ms (0.7%)

simplify14.0ms (0.1%)

localize127.0ms (1.2%)

series19.0ms (0.2%)

rewrite370.0ms (3.6%)

simplify284.0ms (2.8%)

eval558.0ms (5.4%)

prune251.0ms (2.4%)

simplify218.0ms (2.1%)

localize190.0ms (1.8%)

series45.0ms (0.4%)

rewrite402.0ms (3.9%)

simplify258.0ms (2.5%)

eval177.0ms (1.7%)

prune194.0ms (1.9%)

simplify224.0ms (2.2%)

localize190.0ms (1.8%)

series34.0ms (0.3%)

rewrite343.0ms (3.3%)

simplify259.0ms (2.5%)

eval134.0ms (1.3%)

prune162.0ms (1.6%)

regimes210.0ms (2%)

regimes154.0ms (1.5%)

regimes189.0ms (1.8%)

regimes202.0ms (2%)

regimes183.0ms (1.8%)

regimes135.0ms (1.3%)

regimes128.0ms (1.2%)

regimes137.0ms (1.3%)

regimes36.0ms (0.3%)

regimes34.0ms (0.3%)

regimes16.0ms (0.2%)

regimes62.0ms (0.6%)

bsearch13.0ms (0.1%)

bsearch19.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.9s (18.1%)

preprocess95.0ms (0.9%)

end0.0ms (0%)

Profiling