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)

sample1.2s (10.5%)

Results

906.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 645.0ms

ival-mult: 248.0ms (38.4% of total)

ival-cos: 211.0ms (32.7% of total)

ival-sqrt: 70.0ms (10.8% of total)

ival-div: 56.0ms (8.7% of total)

ival-add: 44.0ms (6.8% of total)

const: 13.0ms (2% of total)

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

Bogosity

preprocess65.0ms (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)

explain110.0ms (1%)

FPErrors

Click to see full error table

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

Results

69.0ms

512×

valid

Compiler

Compiled 142 to 38 computations (73.2% saved)

Precisions

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

ival-mult: 14.0ms (38% of total)

ival-cos: 11.0ms (29.9% of total)

ival-div: 4.0ms (10.9% of total)

ival-sqrt: 4.0ms (10.9% of total)

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

const: 1.0ms (2.7% 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)))
▶	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Status

Accuracy

Program

▶

99.6%

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

▶

99.6%

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

Compiler

Compiled 38 to 23 computations (39.5% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize67.0ms (0.6%)

Localize:

Found 8 expressions of interest:

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

Results

46.0ms

256×

valid

Compiler

Compiled 104 to 16 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 8.0ms (33.4% of total)

ival-cos: 6.0ms (25.1% of total)

ival-div: 5.0ms (20.9% of total)

ival-add: 2.0ms (8.4% of total)

ival-sqrt: 2.0ms (8.4% of total)

const: 0.0ms (0% of total)

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

series22.0ms (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
3.0ms	a2	@	inf	(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
2.0ms	th	@	inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	-inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	-inf	(/ (cos th) (sqrt 2))
1.0ms	a1	@	0	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

rewrite267.0ms (2.4%)

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)))

simplify212.0ms (1.9%)

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)))

eval100.0ms (0.9%)

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

prune66.0ms (0.6%)

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)))
▶	68.1%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
▶	64.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	65.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.3%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	99.3%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	99.5%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	68.1%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	99.6%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.6%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (cos.f64 th))

Compiler

Compiled 398 to 276 computations (30.7% saved)

simplify179.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

3742×	`sum3-define`
3696×	`sum5-define`
2284×	`-lowering-.f32`
2284×	`-lowering-.f64`
1524×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	240
1	69	232
2	210	232
3	716	232
4	2600	232
5	4984	232
6	5459	232
7	5525	232
8	5528	232
9	5528	232
0	8534	232

Stop Event

1×	iter limit
1×	node limit

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

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

localize141.0ms (1.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓	accuracy	99.7%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (cos.f64 th) (.f64 a2 a2))
✓	accuracy	99.7%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))
✓	accuracy	99.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.4%	(.f64 (.f64 th th) #s(literal 1/24 binary64))
✓	accuracy	98.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	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	99.7%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (.f64 (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

93.0ms

256×

valid

Compiler

Compiled 255 to 27 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 17.0ms (35.8% of total)

ival-div: 7.0ms (14.7% of total)

ival-cos: 6.0ms (12.6% of total)

...c/correct-round.rkt:119:19: 6.0ms (12.6% of total)

ival-pow: 6.0ms (12.6% of total)

ival-add: 4.0ms (8.4% of total)

ival-sqrt: 2.0ms (4.2% of total)

const: 1.0ms (2.1% of total)

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

series23.0ms (0.2%)

Counts

17 → 336

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

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

Calls

84 calls:

Time	Variable		Point	Expression
3.0ms	a1	@	-inf	(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
2.0ms	a2	@	inf	(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
1.0ms	a1	@	0	(/ (* (+ 1 (* (* th th) (+ -1/2 (* (* th th) 1/24)))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
1.0ms	th	@	inf	(/ (* (+ 1 (* (* th th) (+ -1/2 (* (* th th) 1/24)))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
1.0ms	a2	@	0	(/ (* (+ 1 (* (* th th) (+ -1/2 (* (* th th) 1/24)))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))

rewrite345.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4068×	`-lowering-.f32`
4068×	`-lowering-.f64`
2982×	`/-lowering-/.f32`
2982×	`/-lowering-/.f64`
2488×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	152
1	137	140
2	1159	140
0	8584	140

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 796

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

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

simplify388.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4822×	`-lowering-.f32`
4822×	`-lowering-.f64`
4648×	`+-lowering-+.f64`
4648×	`+-lowering-+.f32`
1816×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	5389
1	751	5011
2	3073	4800
0	8191	4800

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

eval206.0ms (1.9%)

Compiler: Compiled 54064 to 2621 computations (95.2% saved)

prune201.0ms (1.8%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	1643	25	1668
Fresh	7	0	7
Picked	5	0	5
Done	0	0	0
Total	1655	25	1680

Accuracy

100.0%

Counts

1680 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.1%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	7.0%	(/.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
	68.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	7.0%	(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))
	64.5%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
▶	65.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	99.3%	(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
	67.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
▶	15.9%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
▶	13.1%	(/.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 a1 a1)) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
	68.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	99.3%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (*.f64 a2 a2) (cos.f64 th)))
	7.0%	(.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	11.9%	(.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
	99.3%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	68.1%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	13.1%	(.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (.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 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	99.3%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)) (cos.f64 th))
▶	99.6%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (cos.f64 th))
	99.2%	(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th))
▶	99.3%	(.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
	99.2%	(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	68.1%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	65.3%	(.f64 (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) (.f64 a1 a1))))

Compiler

Compiled 1106 to 618 computations (44.1% saved)

simplify223.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(*.f64 a2 (cos.f64 th))
✓	cost-diff	0	(.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(-.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	0	(.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	1024	(/.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
✓	cost-diff	1152	(/.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 a1 a1)) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 th th))
✓	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))) (.f64 a2 a2))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (cos.f64 th))

Rules

3054×	`-lowering-.f32`
3054×	`-lowering-.f64`
1912×	`/-lowering-/.f32`
1912×	`/-lowering-/.f64`
1724×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	227
1	94	208
2	231	202
3	635	188
4	3073	186
5	6270	186
0	8131	186

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize141.0ms (1.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(*.f64 a2 (cos.f64 th))
✓	accuracy	99.8%	(.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.4%	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	90.2%	(-.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	83.6%	(-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))
✓	accuracy	26.2%	(/.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 th th))
✓	accuracy	99.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	95.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a2 a2))
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (cos.f64 th))
✓	accuracy	99.7%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Results

92.0ms

256×

valid

Compiler

Compiled 252 to 33 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 23.0ms (47.2% of total)

ival-div: 10.0ms (20.5% of total)

ival-cos: 6.0ms (12.3% of total)

ival-sqrt: 4.0ms (8.2% of total)

ival-add: 3.0ms (6.2% of total)

ival-sub: 2.0ms (4.1% of total)

const: 1.0ms (2.1% of total)

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

series23.0ms (0.2%)

Counts

20 → 372

Calls

Call 1

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

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

Calls

93 calls:

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

rewrite626.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3410×	`/-lowering-/.f32`
3410×	`/-lowering-/.f64`
3114×	`-lowering-.f32`
3114×	`-lowering-.f64`
1716×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	165
1	187	134
2	1403	134
0	8207	134

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 808

Calls

Call 1

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

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

simplify387.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4910×	`-lowering-.f32`
4910×	`-lowering-.f64`
2960×	`+-lowering-+.f64`
2960×	`+-lowering-+.f32`
2086×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	4303
1	752	4066
2	2718	3883
0	8079	3883

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

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

eval152.0ms (1.4%)

Compiler: Compiled 46034 to 3107 computations (93.3% saved)

prune229.0ms (2.1%)

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	1262	28	1290
Fresh	12	8	20
Picked	2	3	5
Done	0	0	0
Total	1276	39	1315

Accuracy

100.0%

Counts

1315 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 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)))))
	68.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	7.0%	(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))
▶	64.5%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	99.3%	(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
	50.3%	(/.f64 (.f64 th (.f64 th (.f64 a2 (+.f64 (.f64 a2 #s(literal -1/2 binary64)) (/.f64 a2 (*.f64 th th)))))) (sqrt.f64 #s(literal 2 binary64)))
▶	15.9%	(/.f64 (.f64 a2 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
	67.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	15.9%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	15.9%	(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
	67.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
▶	13.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.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 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
	13.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))
	1.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 a1) (.f64 a1 a1))))
	11.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.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 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
	11.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.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)))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
	8.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
	8.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
	13.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
	15.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
	68.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	5.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 a2 a1) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 (.f64 (-.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))))
	26.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
	5.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.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 a2 a2))))))))
	65.1%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64))))))
	68.0%	(.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a2 a1))) (+.f64 a2 a1))
	99.2%	(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
	65.1%	(.f64 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64)))))
	15.9%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	43.2%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (-.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))))
	68.1%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	99.3%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))
	60.1%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (sqrt.f64 #s(literal 2 binary64)))))
✓	99.6%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (cos.f64 th))
	99.3%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)) (cos.f64 th))
✓	99.3%	(.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
	99.2%	(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	68.1%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	67.8%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 1821 to 1023 computations (43.8% saved)

simplify221.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	1280	(/.f64 (.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 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (.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 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
✓	cost-diff	0	(.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64)))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (.f64 a2 a2))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 th th))
✓	cost-diff	0	(.f64 a2 (.f64 #s(literal -1/2 binary64) (*.f64 th th)))
✓	cost-diff	0	(.f64 a2 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th))))
✓	cost-diff	0	(/.f64 (.f64 a2 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
✓	cost-diff	0	(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))

Rules

3302×	`-lowering-.f32`
3302×	`-lowering-.f64`
2000×	`/-lowering-/.f32`
2000×	`/-lowering-/.f64`
1814×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	281
1	108	257
2	313	251
3	1081	235
4	4693	235
5	7432	235
0	8117	235

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize222.0ms (2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	90.2%	(-.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	83.6%	(-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))
✓	accuracy	26.2%	(/.f64 (.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 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
✓	accuracy	99.9%	(.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))
✓	accuracy	99.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.4%	(.f64 (.f64 th th) #s(literal 1/24 binary64))
✓	accuracy	98.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (.f64 a2 a2))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 th th))
✓	accuracy	99.6%	(/.f64 (.f64 a2 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	93.7%	(.f64 a2 (.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 th th))))
✓	accuracy	86.1%	(.f64 a2 (.f64 #s(literal -1/2 binary64) (*.f64 th th)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.4%	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))
✓	accuracy	99.8%	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
✓	accuracy	99.4%	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))

Results

137.0ms

256×

valid

Compiler

Compiled 322 to 37 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 32.0ms (51.5% of total)

ival-div: 12.0ms (19.3% of total)

ival-cos: 6.0ms (9.7% of total)

...c/correct-round.rkt:119:19: 4.0ms (6.4% of total)

ival-add: 3.0ms (4.8% of total)

ival-sub: 2.0ms (3.2% of total)

ival-sqrt: 2.0ms (3.2% of total)

const: 1.0ms (1.6% of total)

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

series29.0ms (0.3%)

Counts

22 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
11.0ms	a2	@	0	(/ (* a2 (* a2 (* -1/2 (* th th)))) (sqrt 2))
1.0ms	a2	@	0	(/ (* (+ 1 (* (* th th) (+ -1/2 (* (* th th) 1/24)))) (* a2 a2)) (sqrt 2))
1.0ms	th	@	0	(/ (* a2 (* a2 (* -1/2 (* th th)))) (sqrt 2))
0.0ms	a2	@	0	(* a2 (* -1/2 (* th th)))
0.0ms	th	@	inf	(/ (* a2 (* a2 (* -1/2 (* th th)))) (sqrt 2))

rewrite411.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3712×	`-lowering-.f32`
3712×	`-lowering-.f64`
3128×	`/-lowering-/.f32`
3128×	`/-lowering-/.f64`
1674×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	210
1	217	175
2	1598	171
0	8321	171

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1129

Calls

Call 1

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

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

simplify306.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

4596×	`-lowering-.f32`
4596×	`-lowering-.f64`
2586×	`/-lowering-/.f32`
2586×	`/-lowering-/.f64`
1990×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	4846
1	823	4689
2	2678	4419
0	8211	4419

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

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

eval223.0ms (2%)

Compiler: Compiled 61642 to 4576 computations (92.6% saved)

prune269.0ms (2.5%)

Pruning

49 alts after pruning (43 fresh and 6 done)

	Pruned	Kept	Total
New	1593	17	1610
Fresh	5	26	31
Picked	2	3	5
Done	0	3	3
Total	1600	49	1649

Accuracy

100.0%

Counts

1649 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 th (.f64 th th))) (.f64 th (.f64 th th)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 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)))))
	68.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	3.3%	(/.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 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.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 a1) (.f64 (.f64 a1 (.f64 a1 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))))))))
	7.0%	(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))
✓	64.5%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	17.2%	(/.f64 (.f64 (.f64 (.f64 a2 a2) (.f64 th #s(literal -1/2 binary64))) th) (sqrt.f64 #s(literal 2 binary64)))
	99.3%	(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
	67.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	15.9%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	67.9%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
	15.9%	(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
	67.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
	11.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
	13.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.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 #s(literal 0 binary64) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))
	13.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
	13.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))
	1.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 a1) (.f64 a1 a1))))
	11.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.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 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
	8.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
	8.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
	13.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
	67.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	15.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
	68.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	3.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 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 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))))) #s(literal 1 binary64)) (/.f64 (+.f64 (.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 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))))))
	5.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))) (/.f64 #s(literal 1 binary64) (+.f64 a2 a1))) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))))
	5.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 a2 a1) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 (.f64 (-.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))))
	43.1%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 a2 a1) (.f64 (-.f64 a1 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))))
	65.1%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64))))))
	5.6%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
	5.6%	(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 a1)))) (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a2 a1))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (-.f64 a1 a2)))
	68.0%	(.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a2 a1))) (+.f64 a2 a1))
	15.9%	(.f64 (/.f64 (.f64 a2 (.f64 th (.f64 th #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) a2)
	99.2%	(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
	65.1%	(.f64 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64)))))
	67.8%	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a2)))
	15.9%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	43.2%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (-.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))))
	68.1%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.2%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2))) (cos.f64 th))
✓	99.3%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))
✓	99.6%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (cos.f64 th))
	99.3%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)) (cos.f64 th))
✓	99.3%	(.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
	99.2%	(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	68.1%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	67.8%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
	67.8%	(*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
	67.8%	(.f64 a2 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2))

Compiler

Compiled 3261 to 986 computations (69.8% saved)

regimes236.0ms (2.2%)

Counts

84 → 1

Calls

Call 1

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

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

Calls

8 calls:

37.0ms	(cos.f64 th)
32.0ms	(*.f64 a1 a1)
27.0ms	a2
27.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
26.0ms	a1

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes204.0ms (1.9%)

Counts

74 → 1

Calls

Call 1

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

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

Calls

7 calls:

50.0ms	a1
28.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
24.0ms	(*.f64 a2 a2)
22.0ms	(cos.f64 th)
21.0ms	a2

Results

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes245.0ms (2.2%)

Counts

67 → 1

Calls

Call 1

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

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

Calls

7 calls:

69.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
50.0ms	th
33.0ms	a2
21.0ms	a1
19.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes171.0ms (1.6%)

Counts

65 → 1

Calls

Call 1

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

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

Calls

7 calls:

35.0ms	th
24.0ms	(*.f64 a1 a1)
21.0ms	a2
19.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
19.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes173.0ms (1.6%)

Counts

64 → 1

Calls

Call 1

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

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

Calls

7 calls:

32.0ms	a1
29.0ms	a2
25.0ms	(*.f64 a2 a2)
19.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
18.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes154.0ms (1.4%)

Counts

62 → 1

Calls

Call 1

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

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

Calls

7 calls:

26.0ms	a2
19.0ms	(*.f64 a2 a2)
19.0ms	a1
18.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
18.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.2%	1	`th`
99.2%	1	`a1`
99.2%	1	`a2`
99.2%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.2%	1	`(cos.f64 th)`
99.2%	1	`(*.f64 a1 a1)`
99.2%	1	`(*.f64 a2 a2)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes95.0ms (0.9%)

Counts

61 → 2

Calls

Call 1

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

Outputs

(/.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 #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:

20.0ms	th
19.0ms	a1
18.0ms	a2
17.0ms	(*.f64 a1 a1)
16.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
69.9%	2	`a1`
70.8%	2	`a2`
70.7%	2	`th`
69.9%	2	`(*.f64 a1 a1)`
68.1%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

a2

Results

Accuracy	Segments	Branch
70.8%	2	`a2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes34.0ms (0.3%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
68.1%	1	`(*.f64 a2 a2)`
68.1%	1	`a1`
68.1%	1	`(*.f64 a1 a1)`
68.1%	1	`th`
68.1%	1	`a2`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes24.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
68.1%	1	`a1`
68.1%	1	`a2`
68.1%	1	`(*.f64 a1 a1)`
68.1%	1	`(*.f64 a2 a2)`
68.1%	1	`th`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes23.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(*.f64 a2 a2)
4.0ms	a2
4.0ms	th
4.0ms	a1
3.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
67.9%	1	`a1`
67.9%	1	`(*.f64 a1 a1)`
67.9%	1	`a2`
67.9%	1	`(*.f64 a2 a2)`
67.9%	1	`th`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	th
2.0ms	a2
2.0ms	a1
2.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
67.9%	1	`a2`
67.9%	1	`a1`
67.9%	1	`(*.f64 a1 a1)`
67.9%	1	`th`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Accuracy

Total -33.4b remaining (-162.1%)

Threshold costs -33.4b (-162.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	a2
2.0ms	th
2.0ms	a1

Results

Accuracy	Segments	Branch
67.8%	1	`a1`
67.8%	1	`a2`
67.8%	1	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	2.2583657998056755e+282	1.813183158730616e+284

Results

2.0ms

16×

valid

Compiler

Compiled 64 to 44 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
9.0ms	2.2583657998056755e+282	1.813183158730616e+284

Results

6.0ms

64×

valid

Compiler

Compiled 156 to 113 computations (27.6% saved)

Precisions

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

ival-mult: 2.0ms (46.3% of total)

ival-cos: 1.0ms (23.2% of total)

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

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

const: 0.0ms (0% of total)

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

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	156
1	60	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 a2 #s(literal 4000000000000000131128983931448392994282821132085974257053334309763770412789497343711737514689647172215269990327296603274806538707642782783975964405172170084499115216982480263261093089420598385961314195650041202516370405569779342608523794259304018488315142707243420422805058800844800 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.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 150000000000000003627555327273882006933213739434384663255595432035766580596889575617037074386982717506858621005298066239322835550029942540721492318751853015740643142748806933435800063121326433202232100509663554242253946585304253658005120085623408166850887922891168118175652154011811840 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 a1 a1) (.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 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.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 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 a2 #s(literal 4000000000000000131128983931448392994282821132085974257053334309763770412789497343711737514689647172215269990327296603274806538707642782783975964405172170084499115216982480263261093089420598385961314195650041202516370405569779342608523794259304018488315142707243420422805058800844800 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.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 4000000000000000131128983931448392994282821132085974257053334309763770412789497343711737514689647172215269990327296603274806538707642782783975964405172170084499115216982480263261093089420598385961314195650041202516370405569779342608523794259304018488315142707243420422805058800844800 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))
(if (<=.f64 a2 #s(literal 150000000000000003627555327273882006933213739434384663255595432035766580596889575617037074386982717506858621005298066239322835550029942540721492318751853015740643142748806933435800063121326433202232100509663554242253946585304253658005120085623408166850887922891168118175652154011811840 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 a2 #s(literal 150000000000000003627555327273882006933213739434384663255595432035766580596889575617037074386982717506858621005298066239322835550029942540721492318751853015740643142748806933435800063121326433202232100509663554242253946585304253658005120085623408166850887922891168118175652154011811840 binary64)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (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 2 binary64)))
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))

soundness2.4s (21.7%)

Rules

5250×	`-lowering-.f32`
5250×	`-lowering-.f64`
4910×	`-lowering-.f32`
4910×	`-lowering-.f64`
4822×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	152
1	137	140
2	1159	140
0	8584	140
0	158	2679
1	568	2231
2	2322	2081
3	5921	2057
0	8638	2057
0	36	210
1	217	175
2	1598	171
0	8321	171
0	215	5389
1	751	5011
2	3073	4800
0	8191	4800
0	238	4303
1	752	4066
2	2718	3883
0	8079	3883
0	32	165
1	187	134
2	1403	134
0	8207	134
0	12	13
1	26	12
2	57	12
3	92	12
4	118	12
5	122	12
0	122	12
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×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 778 to 487 computations (37.4% saved)

preprocess139.0ms (1.3%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 1130 to 636 computations (43.7% saved)

analyze0.0ms (0%)

sample1.2s (10.5%)

preprocess65.0ms (0.6%)

explain110.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize67.0ms (0.6%)

series22.0ms (0.2%)

rewrite267.0ms (2.4%)

simplify212.0ms (1.9%)

eval100.0ms (0.9%)

prune66.0ms (0.6%)

simplify179.0ms (1.6%)

localize141.0ms (1.3%)

series23.0ms (0.2%)

rewrite345.0ms (3.1%)

simplify388.0ms (3.5%)

eval206.0ms (1.9%)

prune201.0ms (1.8%)

simplify223.0ms (2%)

localize141.0ms (1.3%)

series23.0ms (0.2%)

rewrite626.0ms (5.7%)

simplify387.0ms (3.5%)

eval152.0ms (1.4%)

prune229.0ms (2.1%)

simplify221.0ms (2%)

localize222.0ms (2%)

series29.0ms (0.3%)

rewrite411.0ms (3.8%)

simplify306.0ms (2.8%)

eval223.0ms (2%)

prune269.0ms (2.5%)

regimes236.0ms (2.2%)

regimes204.0ms (1.9%)

regimes245.0ms (2.2%)

regimes171.0ms (1.6%)

regimes173.0ms (1.6%)

regimes154.0ms (1.4%)

regimes95.0ms (0.9%)

regimes10.0ms (0.1%)

regimes34.0ms (0.3%)

regimes24.0ms (0.2%)

regimes23.0ms (0.2%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch5.0ms (0%)

bsearch10.0ms (0.1%)

simplify11.0ms (0.1%)

soundness2.4s (21.7%)

preprocess139.0ms (1.3%)

end0.0ms (0%)

Profiling