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)

sample1.3s (10.8%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 633.0ms

ival-mult: 220.0ms (34.8% of total)

ival-cos: 207.0ms (32.7% of total)

ival-div: 71.0ms (11.2% of total)

ival-sqrt: 64.0ms (10.1% of total)

ival-add: 53.0ms (8.4% of total)

const: 14.0ms (2.2% of total)

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

Bogosity

preprocess71.0ms (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: 0 (0.0ms)

Iter	Nodes	Cost
0	41	113
1	142	113
2	420	113
3	1246	110
4	3474	110
5	7728	110
0	12	11
1	28	11
2	59	11
3	94	11
4	120	11
5	124	11
0	124	11

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 (cos.f64 th) (/.f64 (+.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 (square a2)))
(+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(* (* (cos th) (rsqrt 2)) (fma a1 a1 (square a2)))
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2))))
(* (* (cos th) (rsqrt 2)) (fma a1 a1 (square a2)))
(+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2)))
(* (* (cos th) (rsqrt 2)) (fma a1 a1 (square a2)))
(neg (+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
(* (* (cos th) (rsqrt 2)) (fnmsub a1 a1 (square a2)))
(neg (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2)))))
(* (* (cos th) (rsqrt 2)) (fnmsub a1 a1 (square a2)))
(neg (+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2))))
(* (* (cos th) (rsqrt 2)) (fnmsub a1 a1 (square a2)))
(+ (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)))
(* (* (cos th) (rsqrt 2)) (fma a1 a1 (square a2)))
(+ (* (/ (cos a1) (sqrt 2)) (* th th)) (* (/ (cos a1) (sqrt 2)) (* a2 a2)))
(* (* (cos a1) (rsqrt 2)) (+ (square a2) (square th)))
(+ (* (/ (cos a2) (sqrt 2)) (* a1 a1)) (* (/ (cos a2) (sqrt 2)) (* th th)))
(* (cos a2) (/ (fma th th (square a1)) (sqrt 2)))

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

explain133.0ms (1.1%)

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

87.0ms

512×

valid

Compiler

Compiled 142 to 38 computations (73.2% saved)

Precisions

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

ival-cos: 13.0ms (33.1% of total)

ival-mult: 13.0ms (33.1% of total)

ival-div: 5.0ms (12.7% of total)

ival-sqrt: 5.0ms (12.7% of total)

ival-add: 3.0ms (7.6% of total)

const: 1.0ms (2.5% of total)

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

eval3.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.5%

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

▶

99.5%

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

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

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	80
1	35	80
2	68	80
3	102	80
4	121	80
5	125	80
0	125	80

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize105.0ms (0.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
✓	accuracy	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.8%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))

Results

67.0ms

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: 9.0ms (36.8% of total)

ival-cos: 7.0ms (28.6% of total)

ival-div: 3.0ms (12.3% of total)

ival-add: 3.0ms (12.3% of total)

ival-sqrt: 2.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

series35.0ms (0.3%)

Counts

8 → 192

Calls

Call 1

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

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

48 calls:

Time	Variable		Point	Expression
15.0ms	th	@	inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	0	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	a1	@	0	(* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
1.0ms	th	@	inf	(* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
1.0ms	th	@	-inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

rewrite318.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5134×	`-lowering-.f32`
5134×	`-lowering-.f64`
2130×	`/-lowering-/.f32`
2130×	`/-lowering-/.f64`
1402×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	77	58
2	710	58
0	8748	58

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 527

Calls

Call 1

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

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

simplify264.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

4346×	`-lowering-.f32`
4346×	`-lowering-.f64`
3704×	`+-lowering-+.f64`
3704×	`+-lowering-+.f32`
1906×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	2136
1	506	1796
2	1986	1700
3	4764	1676
0	8935	1676

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

eval101.0ms (0.8%)

Compiler: Compiled 21218 to 1230 computations (94.2% saved)

prune101.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	771	14	785
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	773	14	787

Accuracy

100.0%

Counts

787 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.4%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	99.1%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.4%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
▶	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
▶	99.5%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	55.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	55.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64)))))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	55.9%	(.f64 (+.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))))
	99.4%	(.f64 (cos.f64 th) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
	99.0%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	25.0%	(.f64 (cos.f64 th) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))

Compiler

Compiled 558 to 382 computations (31.5% saved)

simplify176.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	cost-diff	0	(.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal -1/720 binary64))))))
✓	cost-diff	0	(.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(*.f64 a1 a1)
✓	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	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	6528	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))

Rules

3356×	`-lowering-.f32`
3356×	`-lowering-.f64`
1886×	`fma-define`
1568×	`fma-lowering-fma.f32`
1568×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	285
1	88	271
2	282	269
3	732	268
4	1895	268
5	6780	268
6	7579	268
0	8204	268

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize271.0ms (2.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.8%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	99.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.5%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	98.9%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	99.8%	(.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.4%	(.f64 (.f64 th th) #s(literal -1/720 binary64))
✓	accuracy	96.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
✓	accuracy	99.6%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
✓	accuracy	99.6%	(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

202.0ms

256×

valid

Compiler

Compiled 344 to 34 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 28.0ms (34% of total)

ival-mult: 26.0ms (31.6% of total)

ival-cos: 7.0ms (8.5% of total)

...c/correct-round.rkt:119:19: 7.0ms (8.5% of total)

ival-add: 6.0ms (7.3% of total)

ival-pow: 4.0ms (4.9% of total)

ival-sqrt: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

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

series43.0ms (0.3%)

Counts

22 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
18.0ms	th	@	0	(* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
2.0ms	a1	@	0	(* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
1.0ms	a2	@	0	(* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
1.0ms	th	@	inf	(* (+ 1 (* th (* th (+ -1/2 (* (* th th) (+ 1/24 (* (* th th) -1/720))))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
1.0ms	th	@	inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (pow 2 -1/2) (cos th)) (* a2 a2)))

rewrite483.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3672×	`-lowering-.f32`
3672×	`-lowering-.f64`
3636×	`/-lowering-/.f32`
3636×	`/-lowering-/.f64`
1628×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	199
1	185	168
2	1710	168
0	8539	168

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1056

Calls

Call 1

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

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

simplify293.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4714×	`-lowering-.f32`
4714×	`-lowering-.f64`
2078×	`+-lowering-+.f64`
2078×	`+-lowering-+.f32`
1510×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	6723
1	1255	5443
2	4852	5340
0	8094	5340

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

eval279.0ms (2.2%)

Compiler: Compiled 68351 to 3302 computations (95.2% saved)

prune283.0ms (2.3%)

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	1994	30	2024
Fresh	6	3	9
Picked	3	2	5
Done	0	0	0
Total	2003	35	2038

Accuracy

100.0%

Counts

2038 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.3%	(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	12.1%	(/.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)))
	6.0%	(/.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)))
	60.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
✓	60.4%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	55.7%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	55.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64)))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	55.1%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (*.f64 th #s(literal -1/720 binary64)))))))))) (sqrt.f64 #s(literal 2 binary64)))
	99.1%	(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
▶	25.9%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
	60.3%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
▶	12.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	98.9%	(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
✓	99.4%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	98.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	12.1%	(/.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))))))
▶	6.0%	(/.f64 #s(literal 1 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 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
	60.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	40.0%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
	55.1%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))))))
	55.9%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	99.0%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2))
	11.9%	(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
	60.4%	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (*.f64 a1 a1)))
▶	11.8%	(.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)))))
	6.0%	(.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 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))))
	55.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	55.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	55.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
	55.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	99.1%	(.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
	60.4%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.0%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
▶	99.6%	(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	25.0%	(.f64 (cos.f64 th) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))

Compiler

Compiled 1577 to 962 computations (39% saved)

simplify173.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
✓	cost-diff	0	(.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)))
✓	cost-diff	0	(/.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 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
✓	cost-diff	128	(/.f64 #s(literal 1 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 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(.f64 (.f64 a1 a1) (*.f64 a1 a1))
✓	cost-diff	0	(-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))
✓	cost-diff	1152	(.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)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	384	(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
✓	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	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

Rules

3356×	`-lowering-.f32`
3356×	`-lowering-.f64`
1526×	`/-lowering-/.f32`
1526×	`/-lowering-/.f64`
1104×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	297
1	138	267
2	406	261
3	1291	253
4	4401	253
0	8536	253

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize256.0ms (2.1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 a1 a1) (*.f64 a1 a1))
✓	accuracy	99.6%	(/.f64 #s(literal 1 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 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
✓	accuracy	95.6%	(-.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	accuracy	19.1%	(/.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 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	94.5%	(-.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	89.5%	(-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))
✓	accuracy	34.7%	(.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)))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	77.4%	(/.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	accuracy	58.5%	(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.8%	(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	99.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Results

171.0ms

256×

valid

Compiler

Compiled 454 to 37 computations (91.9% saved)

Precisions

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

ival-mult: 23.0ms (39.9% of total)

ival-div: 10.0ms (17.3% of total)

ival-cos: 7.0ms (12.1% of total)

ival-add: 5.0ms (8.7% of total)

ival-sub: 5.0ms (8.7% of total)

ival-pow: 5.0ms (8.7% of total)

ival-sqrt: 2.0ms (3.5% of total)

const: 1.0ms (1.7% of total)

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

series35.0ms (0.3%)

Counts

22 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
6.0ms	a2	@	-inf	(* (- (* (* a1 a1) (* a1 a1)) (* a2 (* a2 (* a2 a2)))) (/ 1 (* (- (* a1 a1) (* a2 a2)) (sqrt 2))))
4.0ms	a2	@	inf	(* (- (* (* a1 a1) (* a1 a1)) (* a2 (* a2 (* a2 a2)))) (/ 1 (* (- (* a1 a1) (* a2 a2)) (sqrt 2))))
1.0ms	a1	@	0	(/ 1 (/ (* (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2)) (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))))
1.0ms	a2	@	0	(/ 1 (/ (* (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2)) (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))))
1.0ms	a1	@	0	(* (- (* (* a1 a1) (* a1 a1)) (* a2 (* a2 (* a2 a2)))) (/ 1 (* (- (* a1 a1) (* a2 a2)) (sqrt 2))))

rewrite361.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4128×	`-lowering-.f32`
4128×	`-lowering-.f64`
2608×	`/-lowering-/.f32`
2608×	`/-lowering-/.f64`
1570×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	179
1	274	146
2	2461	142
0	8426	142

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 707

Calls

Call 1

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

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

simplify297.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3724×	`-lowering-.f32`
3724×	`-lowering-.f64`
1932×	`+-lowering-+.f64`
1932×	`+-lowering-+.f32`
1130×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	5485
1	1059	4435
2	3999	4229
0	8201	4229

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval218.0ms (1.8%)

Compiler: Compiled 56836 to 2913 computations (94.9% saved)

prune455.0ms (3.7%)

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	1500	21	1521
Fresh	5	23	28
Picked	4	1	5
Done	0	2	2
Total	1509	47	1556

Accuracy

100.0%

Counts

1556 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.3%	(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	60.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
✓	60.4%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	55.7%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	55.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64)))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	55.1%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (*.f64 th #s(literal -1/720 binary64)))))))))) (sqrt.f64 #s(literal 2 binary64)))
	99.1%	(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
	1.7%	(/.f64 (.f64 (.f64 a1 a1) (/.f64 (-.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
	35.7%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))) (sqrt.f64 #s(literal 2 binary64)))
	35.7%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1)))) (sqrt.f64 #s(literal 2 binary64)))
	60.3%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	12.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	98.9%	(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
✓	99.4%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	98.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	6.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
	6.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (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)))))))
	0.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
	6.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (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)))))))
▶	6.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
	60.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	12.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
▶	60.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	5.9%	(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))))
	40.0%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
	55.1%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))))))
	55.9%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	99.0%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2))
	11.9%	(.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
	12.2%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	60.4%	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (*.f64 a1 a1)))
	8.1%	(.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
▶	11.8%	(.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	5.8%	(.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))))
	12.2%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	55.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	55.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	55.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
	55.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
▶	99.1%	(.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
	2.4%	(.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	60.4%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.0%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	25.0%	(.f64 (cos.f64 th) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
	99.1%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)))
▶	60.3%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
	36.2%	(.f64 a1 (.f64 a1 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 2278 to 1315 computations (42.3% saved)

simplify213.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(.f64 (.f64 a1 a1) (*.f64 a1 a1))
✓	cost-diff	0	(-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))
✓	cost-diff	128	(.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 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	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 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 1/2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))

Rules

4696×	`-lowering-.f32`
4696×	`-lowering-.f64`
2366×	`/-lowering-/.f32`
2366×	`/-lowering-/.f64`
1304×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	250
1	111	226
2	299	219
3	994	218
4	5711	218
0	8312	218

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize240.0ms (1.9%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
✓	accuracy	99.6%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	accuracy	95.6%	(-.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	accuracy	19.1%	(/.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.0%	(/.f64 #s(literal -1 binary64) (*.f64 a2 a2))
✓	accuracy	89.5%	(-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))
✓	accuracy	34.7%	(.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.3%	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.6%	(.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))

Results

175.0ms

256×

valid

Compiler

Compiled 365 to 36 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 20.0ms (36.1% of total)

ival-div: 13.0ms (23.4% of total)

ival-sub: 8.0ms (14.4% of total)

ival-cos: 7.0ms (12.6% of total)

ival-sqrt: 4.0ms (7.2% of total)

ival-add: 2.0ms (3.6% of total)

const: 1.0ms (1.8% of total)

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

series21.0ms (0.2%)

Counts

23 → 396

Calls

Call 1

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

Outputs
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* (pow a2 2) (sqrt 1/2)))>
#<alt (+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* 1/24 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))))))>
#<alt (+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* 1/24 (* (pow a2 2) (sqrt 1/2))))))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/2 (* (pow th 2) (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* (pow th 2) (+ (* -1/2 (sqrt 1/2)) (* 1/24 (* (pow th 2) (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* (pow th 2) (+ (* -1/2 (sqrt 1/2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 1/2))) (* 1/24 (sqrt 1/2)))))))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (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))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (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 (/ a2 (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (sqrt 2) (pow a2 2))>
#<alt (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))>
#<alt (+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))>
#<alt (+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))>
#<alt (/ (sqrt 2) (pow a1 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))>
#<alt (/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))>
#<alt (/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))>
#<alt (/ (sqrt 2) (pow a1 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))>
#<alt (/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))>
#<alt (/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))>
#<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) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))>
#<alt (+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))>
#<alt (/ (sqrt 2) (pow a2 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))>
#<alt (/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))>
#<alt (/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))>
#<alt (/ (sqrt 2) (pow a2 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))>
#<alt (/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))>
#<alt (/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))>
#<alt (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))>
#<alt (* (pow a1 4) (- (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a1 4) (- (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a1 4) (- (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))>
#<alt (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))>
#<alt (* (pow a1 4) (- (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a1 4) (- (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a1 4) (- (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))>
#<alt (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))>
#<alt (/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2))) (pow a2 2))>
#<alt (/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2))) (pow a2 2))>
#<alt (/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2))) (pow a2 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ 1 (sqrt 2))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ 1 (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))>
#<alt (pow a1 4)>
#<alt (pow a1 4)>
#<alt (pow a1 4)>
#<alt (pow a1 4)>
#<alt (pow a1 4)>
#<alt (pow a1 4)>
#<alt (pow a1 4)>
#<alt (pow a1 4)>
#<alt (pow a1 4)>
#<alt (pow a1 4)>
#<alt (pow a1 4)>
#<alt (pow a1 4)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))>
#<alt (/ (+ (* -1 (/ (* (pow a1 2) (pow a2 2)) (sqrt 2))) (* -1 (/ (pow a1 4) (sqrt 2)))) (pow a2 2))>
#<alt (/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (* (pow a2 2) (- (* -1 (/ (pow a2 2) (sqrt 2))) (/ (pow a1 2) (sqrt 2))))) (pow a2 2))>
#<alt (/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (* (pow a2 2) (- (* (pow a2 2) (- (* -2 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))))) (pow a2 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 4) (* (pow a2 4) (sqrt 2)))) (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a2 2) (- (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (* -1 (/ (pow a1 6) (* (pow a2 6) (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 4) (* (pow a2 4) (sqrt 2)))) (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a2 2) (- (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (* -1 (/ (pow a1 6) (* (pow a2 6) (sqrt 2))))))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (+ (* (pow a1 2) (+ (* 2 (/ (pow a1 2) (* (pow a2 4) (sqrt 2)))) (/ 1 (* (pow a2 2) (sqrt 2))))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))>
#<alt (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))>
#<alt (* -1 (* (pow a1 4) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a1 4) (- (* -1 (/ (pow a2 2) (* (pow a1 4) (sqrt 2)))) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a1 4) (- (* -1 (/ (pow a2 4) (* (pow a1 6) (sqrt 2)))) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (+ (/ 1 (* (pow a2 2) (sqrt 2))) (+ (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ (pow a2 4) (* (pow a1 6) (sqrt 2))))))))>
#<alt (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))>
#<alt (* -1 (* (pow a1 4) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a1 4) (- (* -1 (/ (pow a2 2) (* (pow a1 4) (sqrt 2)))) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a1 4) (- (* -1 (/ (pow a2 4) (* (pow a1 6) (sqrt 2)))) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (+ (/ 1 (* (pow a2 2) (sqrt 2))) (+ (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ (pow a2 4) (* (pow a1 6) (sqrt 2))))))))>
#<alt (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4)))>
#<alt (* (pow a2 2) (+ (* -1 (/ (sqrt 2) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 6))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (sqrt 2) (pow a1 4))) (* (pow a2 2) (+ (/ (sqrt 2) (pow a1 6)) (/ (* (pow a2 4) (sqrt 2)) (pow a1 10))))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (sqrt 2) (pow a1 4))) (* (pow a2 2) (+ (* (pow a2 4) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 12))) (* -1 (/ (sqrt 2) (pow a1 10))))) (/ (sqrt 2) (pow a1 6))))))>
#<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))) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6))))) (pow a2 2))>
#<alt (/ (- (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 8) (sqrt 2)) (pow a2 8)))) (/ (* (pow a1 6) (sqrt 2)) (pow a2 6))) (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))) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6))))) (pow a2 2))>
#<alt (/ (- (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 8) (sqrt 2)) (pow a2 8)))) (/ (* (pow a1 6) (sqrt 2)) (pow a2 6))) (pow a2 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))) (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 8))))) (/ (sqrt 2) (pow a2 2)))>
#<alt (+ (* (pow a1 2) (+ (* -1 (/ (sqrt 2) (pow a2 4))) (* (pow a1 4) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 10)) (/ (sqrt 2) (pow a2 8)))))) (/ (sqrt 2) (pow a2 2)))>
#<alt (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4)))>
#<alt (/ (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))) (pow a1 4))>
#<alt (/ (+ (* -1 (* (pow a2 2) (sqrt 2))) (+ (/ (* (pow a2 4) (sqrt 2)) (pow a1 2)) (/ (* (pow a2 8) (sqrt 2)) (pow a1 6)))) (pow a1 4))>
#<alt (/ (- (+ (* -1 (* (pow a2 2) (sqrt 2))) (+ (* -1 (/ (* (pow a2 10) (sqrt 2)) (pow a1 8))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2)))) (* -1 (/ (* (pow a2 8) (sqrt 2)) (pow a1 6)))) (pow a1 4))>
#<alt (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4)))>
#<alt (/ (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))) (pow a1 4))>
#<alt (/ (+ (* -1 (* (pow a2 2) (sqrt 2))) (+ (/ (* (pow a2 4) (sqrt 2)) (pow a1 2)) (/ (* (pow a2 8) (sqrt 2)) (pow a1 6)))) (pow a1 4))>
#<alt (/ (- (+ (* -1 (* (pow a2 2) (sqrt 2))) (+ (* -1 (/ (* (pow a2 10) (sqrt 2)) (pow a1 8))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2)))) (* -1 (/ (* (pow a2 8) (sqrt 2)) (pow a1 6)))) (pow a1 4))>
#<alt (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2))))>
#<alt (* (pow a2 4) (sqrt 2))>
#<alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 4) (sqrt 2))>
#<alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 4) (sqrt 2))>
#<alt (+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))>
#<alt (+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))>
#<alt (+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))>
#<alt (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))))>
#<alt (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (/ -1 (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (* -1 (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (pow a2 2)>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (* -1 (pow a1 2))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* -1 (pow a1 2))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* -1 (* (pow a1 2) (sqrt 2)))>
#<alt (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))>
#<alt (* -1 (* (pow a1 2) (sqrt 2)))>
#<alt (* (pow a1 2) (+ (* -1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* -1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* -1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))>
#<alt (* -1 (* (pow a1 2) (sqrt 2)))>
#<alt (* (pow a1 2) (+ (* -1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* -1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* -1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))>

Calls

99 calls:

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

rewrite389.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4102×	`/-lowering-/.f32`
4102×	`/-lowering-/.f64`
3354×	`-lowering-.f32`
3354×	`-lowering-.f64`
1294×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	175
1	220	157
2	1752	157
0	8376	157

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1056

Calls

Call 1

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

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

simplify327.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4072×	`-lowering-.f32`
4072×	`-lowering-.f64`
3138×	`+-lowering-+.f64`
3138×	`+-lowering-+.f32`
1654×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	5039
1	1033	4139
2	3634	3896
0	8301	3896

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (sqrt 1/2))
(+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* (pow a2 2) (sqrt 1/2)))
(+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* 1/24 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))))))
(+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* 1/24 (* (pow a2 2) (sqrt 1/2))))))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(pow a2 2)
(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)
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/2 (* (pow th 2) (sqrt 1/2))))
(+ (sqrt 1/2) (* (pow th 2) (+ (* -1/2 (sqrt 1/2)) (* 1/24 (* (pow th 2) (sqrt 1/2))))))
(+ (sqrt 1/2) (* (pow th 2) (+ (* -1/2 (sqrt 1/2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 1/2))) (* 1/24 (sqrt 1/2)))))))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(/ (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 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) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (sqrt 2) (pow a1 2))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(/ (sqrt 2) (pow a2 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ (pow a2 2) (sqrt 2))
(+ (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))
(+ (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))
(+ (* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))
(* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))
(* (pow a1 4) (- (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))
(* (pow a1 4) (- (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))
(* (pow a1 4) (- (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))
(* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))
(* (pow a1 4) (- (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))
(* (pow a1 4) (- (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))
(* (pow a1 4) (- (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))
(* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))
(/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2))) (pow a2 2))
(/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2))) (pow a2 2))
(/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2))) (pow a2 2))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ 1 (sqrt 2))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ 1 (sqrt 2))))
(* -1 (pow a2 4))
(- (pow a1 4) (pow a2 4))
(- (pow a1 4) (pow a2 4))
(- (pow a1 4) (pow a2 4))
(pow a1 4)
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))))
(pow a1 4)
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))))
(pow a1 4)
(+ (* -1 (pow a2 4)) (pow a1 4))
(+ (* -1 (pow a2 4)) (pow a1 4))
(+ (* -1 (pow a2 4)) (pow a1 4))
(* -1 (pow a2 4))
(* (pow a2 4) (- (/ (pow a1 4) (pow a2 4)) 1))
(* (pow a2 4) (- (/ (pow a1 4) (pow a2 4)) 1))
(* (pow a2 4) (- (/ (pow a1 4) (pow a2 4)) 1))
(* -1 (pow a2 4))
(* (pow a2 4) (- (/ (pow a1 4) (pow a2 4)) 1))
(* (pow a2 4) (- (/ (pow a1 4) (pow a2 4)) 1))
(* (pow a2 4) (- (/ (pow a1 4) (pow a2 4)) 1))
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 4)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))
(/ (+ (* -1 (/ (* (pow a1 2) (pow a2 2)) (sqrt 2))) (* -1 (/ (pow a1 4) (sqrt 2)))) (pow a2 2))
(/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (* (pow a2 2) (- (* -1 (/ (pow a2 2) (sqrt 2))) (/ (pow a1 2) (sqrt 2))))) (pow a2 2))
(/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (* (pow a2 2) (- (* (pow a2 2) (- (* -2 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))))) (pow a2 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 4) (* (pow a2 4) (sqrt 2)))) (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))
(* (pow a2 2) (- (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (* -1 (/ (pow a1 6) (* (pow a2 6) (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 4) (* (pow a2 4) (sqrt 2)))) (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))
(* (pow a2 2) (- (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (* -1 (/ (pow a1 6) (* (pow a2 6) (sqrt 2))))))))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (+ (* (pow a1 2) (+ (* 2 (/ (pow a1 2) (* (pow a2 4) (sqrt 2)))) (/ 1 (* (pow a2 2) (sqrt 2))))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))
(* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))
(* -1 (* (pow a1 4) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))
(* (pow a1 4) (- (* -1 (/ (pow a2 2) (* (pow a1 4) (sqrt 2)))) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))
(* (pow a1 4) (- (* -1 (/ (pow a2 4) (* (pow a1 6) (sqrt 2)))) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (+ (/ 1 (* (pow a2 2) (sqrt 2))) (+ (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ (pow a2 4) (* (pow a1 6) (sqrt 2))))))))
(* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))
(* -1 (* (pow a1 4) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))
(* (pow a1 4) (- (* -1 (/ (pow a2 2) (* (pow a1 4) (sqrt 2)))) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))
(* (pow a1 4) (- (* -1 (/ (pow a2 4) (* (pow a1 6) (sqrt 2)))) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (+ (/ 1 (* (pow a2 2) (sqrt 2))) (+ (/ (pow a2 2) (* (pow a1 4) (sqrt 2))) (/ (pow a2 4) (* (pow a1 6) (sqrt 2))))))))
(* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4)))
(* (pow a2 2) (+ (* -1 (/ (sqrt 2) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 6))))
(* (pow a2 2) (+ (* -1 (/ (sqrt 2) (pow a1 4))) (* (pow a2 2) (+ (/ (sqrt 2) (pow a1 6)) (/ (* (pow a2 4) (sqrt 2)) (pow a1 10))))))
(* (pow a2 2) (+ (* -1 (/ (sqrt 2) (pow a1 4))) (* (pow a2 2) (+ (* (pow a2 4) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 12))) (* -1 (/ (sqrt 2) (pow a1 10))))) (/ (sqrt 2) (pow a1 6))))))
(/ (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))) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6))))) (pow a2 2))
(/ (- (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 8) (sqrt 2)) (pow a2 8)))) (/ (* (pow a1 6) (sqrt 2)) (pow a2 6))) (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))) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6))))) (pow a2 2))
(/ (- (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 8) (sqrt 2)) (pow a2 8)))) (/ (* (pow a1 6) (sqrt 2)) (pow a2 6))) (pow a2 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))) (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 8))))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (+ (* -1 (/ (sqrt 2) (pow a2 4))) (* (pow a1 4) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 10)) (/ (sqrt 2) (pow a2 8)))))) (/ (sqrt 2) (pow a2 2)))
(* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4)))
(/ (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))) (pow a1 4))
(/ (+ (* -1 (* (pow a2 2) (sqrt 2))) (+ (/ (* (pow a2 4) (sqrt 2)) (pow a1 2)) (/ (* (pow a2 8) (sqrt 2)) (pow a1 6)))) (pow a1 4))
(/ (- (+ (* -1 (* (pow a2 2) (sqrt 2))) (+ (* -1 (/ (* (pow a2 10) (sqrt 2)) (pow a1 8))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2)))) (* -1 (/ (* (pow a2 8) (sqrt 2)) (pow a1 6)))) (pow a1 4))
(* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4)))
(/ (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))) (pow a1 4))
(/ (+ (* -1 (* (pow a2 2) (sqrt 2))) (+ (/ (* (pow a2 4) (sqrt 2)) (pow a1 2)) (/ (* (pow a2 8) (sqrt 2)) (pow a1 6)))) (pow a1 4))
(/ (- (+ (* -1 (* (pow a2 2) (sqrt 2))) (+ (* -1 (/ (* (pow a2 10) (sqrt 2)) (pow a1 8))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2)))) (* -1 (/ (* (pow a2 8) (sqrt 2)) (pow a1 6)))) (pow a1 4))
(* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2))))
(* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2))))
(* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2))))
(* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2))))
(* (pow a2 4) (sqrt 2))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 4) (sqrt 2))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 4) (sqrt 2))
(+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2))))
(* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))))
(* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2))))
(* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(/ -1 (pow a2 2))
(/ -1 (pow a2 2))
(/ -1 (pow a2 2))
(/ -1 (pow a2 2))
(/ -1 (pow a2 2))
(/ -1 (pow a2 2))
(/ -1 (pow a2 2))
(/ -1 (pow a2 2))
(/ -1 (pow a2 2))
(/ -1 (pow a2 2))
(/ -1 (pow a2 2))
(/ -1 (pow a2 2))
(/ -1 (* (pow a2 2) (sqrt 2)))
(/ -1 (* (pow a2 2) (sqrt 2)))
(/ -1 (* (pow a2 2) (sqrt 2)))
(/ -1 (* (pow a2 2) (sqrt 2)))
(/ -1 (* (pow a2 2) (sqrt 2)))
(/ -1 (* (pow a2 2) (sqrt 2)))
(/ -1 (* (pow a2 2) (sqrt 2)))
(/ -1 (* (pow a2 2) (sqrt 2)))
(/ -1 (* (pow a2 2) (sqrt 2)))
(/ -1 (* (pow a2 2) (sqrt 2)))
(/ -1 (* (pow a2 2) (sqrt 2)))
(/ -1 (* (pow a2 2) (sqrt 2)))
(* -1 (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(pow a2 2)
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* -1 (* (pow a1 2) (sqrt 2)))
(+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))
(+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))
(+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 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) (sqrt 2)))
(+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))
(+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))
(* -1 (* (pow a1 2) (sqrt 2)))
(* (pow a1 2) (+ (* -1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (* -1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (* -1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* -1 (* (pow a1 2) (sqrt 2)))
(* (pow a1 2) (+ (* -1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (* -1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (* -1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))

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

eval226.0ms (1.8%)

Compiler: Compiled 74850 to 4131 computations (94.5% saved)

prune309.0ms (2.5%)

Pruning

61 alts after pruning (55 fresh and 6 done)

	Pruned	Kept	Total
New	1722	34	1756
Fresh	18	21	39
Picked	2	3	5
Done	0	3	3
Total	1742	61	1803

Accuracy

100.0%

Counts

1803 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
✓	60.4%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	55.7%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	55.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64)))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	99.1%	(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
	1.7%	(/.f64 (.f64 (.f64 a1 a1) (/.f64 (-.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
	35.7%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1))) (sqrt.f64 #s(literal 2 binary64)))
	35.7%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1)))) (sqrt.f64 #s(literal 2 binary64)))
	2.6%	(/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	60.3%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	12.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	98.9%	(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
✓	99.4%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	98.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	60.3%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
	5.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
	60.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
	2.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 a1 a1)))
	6.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (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)))))))
	6.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (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)))))))
	1.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 a1 a1)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
	12.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
	56.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 a2 a1)) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))))
	12.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	2.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.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 a2) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 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 a1 a1) (.f64 a2 a2))))))
	10.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))))
	60.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	10.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (+.f64 a2 a1)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 (-.f64 a2 a1) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	12.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
	5.9%	(/.f64 #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 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 (sqrt.f64 #s(literal 2 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))))))))
	60.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
	99.0%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2))
	7.8%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a2)) (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))))) (neg.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
	2.8%	(.f64 (/.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 a2) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (*.f64 a2 a2))))
	2.8%	(.f64 (/.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 a2) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 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 a2 (/.f64 #s(literal -1 binary64) a2))))
	40.6%	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal -1 binary64) a2))
	56.0%	(.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a2))) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) a2))
	25.1%	(.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 a2 (/.f64 #s(literal -1 binary64) a2))))
	60.3%	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a2)))
	12.2%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	7.8%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 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))))))))
	60.4%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	6.5%	(.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
	8.1%	(.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
✓	11.8%	(.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	12.2%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	55.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	55.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	55.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
	99.1%	(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) a2)
	55.7%	(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th))) (sqrt.f64 #s(literal 1/2 binary64))))
	55.0%	(.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal -1/720 binary64))))))))))
	55.0%	(.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 th th) #s(literal 1/24 binary64))))))))
✓	99.1%	(.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
	60.3%	(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
	25.0%	(.f64 (cos.f64 th) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
✓	60.3%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
	60.3%	(*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
	60.3%	(.f64 a2 (.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	60.4%	(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
	36.2%	(.f64 a1 (.f64 a1 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 4168 to 1230 computations (70.5% saved)

regimes339.0ms (2.7%)

Counts

101 → 1

Calls

Call 1

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

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

Calls

8 calls:

45.0ms	a1
32.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
32.0ms	a2
31.0ms	th
31.0ms	(cos.f64 th)

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)

regimes245.0ms (2%)

Counts

100 → 1

Calls

Call 1

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

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

Calls

8 calls:

35.0ms	(cos.f64 th)
29.0ms	a1
28.0ms	a2
28.0ms	th
27.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Results

Accuracy	Segments	Branch
99.6%	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)

regimes208.0ms (1.7%)

Counts

93 → 1

Calls

Call 1

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

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

Calls

6 calls:

32.0ms	th
32.0ms	a1
28.0ms	(*.f64 a2 a2)
28.0ms	a2
26.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.5%	1	`a1`
99.5%	1	`a2`
99.5%	1	`th`
99.5%	1	`(cos.f64 th)`
99.5%	1	`(*.f64 a1 a1)`
99.5%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes217.0ms (1.7%)

Counts

91 → 1

Calls

Call 1

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

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

Calls

6 calls:

53.0ms	th
35.0ms	(*.f64 a2 a2)
28.0ms	a2
27.0ms	a1
25.0ms	(*.f64 a1 a1)

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes201.0ms (1.6%)

Counts

85 → 1

Calls

Call 1

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

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

Calls

6 calls:

62.0ms	th
28.0ms	a2
25.0ms	a1
24.0ms	(cos.f64 th)
22.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes160.0ms (1.3%)

Counts

84 → 1

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	th
25.0ms	a1
24.0ms	a2
24.0ms	(*.f64 a2 a2)
23.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes158.0ms (1.3%)

Counts

82 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

42.0ms	(*.f64 a1 a1)
37.0ms	th
25.0ms	a1
24.0ms	(*.f64 a2 a2)
23.0ms	a2

Results

Accuracy	Segments	Branch
60.4%	1	`a1`
60.4%	1	`a2`
63.9%	3	`th`
60.4%	1	`(*.f64 a1 a1)`
60.4%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes24.0ms (0.2%)

Counts

56 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

th

Results

Accuracy	Segments	Branch
63.9%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Counts

54 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

16.0ms

th

Results

Accuracy	Segments	Branch
63.8%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

th

Results

Accuracy	Segments	Branch
63.8%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Counts

40 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

23.0ms

th

Results

Accuracy	Segments	Branch
62.1%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.3%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(*.f64 a2 a2)
9.0ms	a2
9.0ms	th

Results

Accuracy	Segments	Branch
60.4%	1	`a2`
60.4%	1	`(*.f64 a2 a2)`
60.4%	1	`th`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes28.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(*.f64 a2 a2)
6.0ms	a1
5.0ms	th
5.0ms	a2
4.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
60.4%	1	`a1`
60.4%	1	`(*.f64 a1 a1)`
60.4%	1	`a2`
60.4%	1	`th`
60.4%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes23.0ms (0.2%)

Accuracy

Total -31.0b remaining (-122.2%)

Threshold costs -31b (-122.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
60.4%	1	`a1`
60.4%	1	`th`
60.4%	1	`(*.f64 a1 a1)`
60.4%	1	`a2`
60.4%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.2086851872662563e+141	2.3305737619106518e+142
20.0ms	203.41826752522013	3302.8761160162016

Results

28.0ms

208×

valid

Compiler

Compiled 560 to 415 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 8.0ms (40.8% of total)

ival-mult: 7.0ms (35.7% of total)

ival-div: 2.0ms (10.2% of total)

ival-sqrt: 2.0ms (10.2% of total)

ival-add: 1.0ms (5.1% of total)

const: 0.0ms (0% of total)

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

bsearch42.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.2086851872662563e+141	2.3305737619106518e+142
20.0ms	203.41826752522013	3302.8761160162016

Results

28.0ms

208×

valid

Compiler

Compiled 560 to 408 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 7.0ms (39.9% of total)

ival-mult: 5.0ms (28.5% of total)

ival-div: 2.0ms (11.4% of total)

ival-sqrt: 2.0ms (11.4% of total)

ival-add: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.2086851872662563e+141	2.3305737619106518e+142
20.0ms	203.41826752522013	3302.8761160162016

Results

28.0ms

208×

valid

Compiler

Compiled 532 to 394 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-cos: 7.0ms (37% of total)

ival-mult: 7.0ms (37% of total)

ival-sqrt: 2.0ms (10.6% of total)

ival-div: 1.0ms (5.3% of total)

ival-add: 1.0ms (5.3% of total)

const: 0.0ms (0% of total)

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

bsearch54.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.2086851872662563e+141	2.3305737619106518e+142
21.0ms	0.7638107168585916	203.41826752522013

Results

42.0ms

224×

valid

Compiler

Compiled 564 to 421 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-cos: 22.0ms (65.4% of total)

ival-mult: 7.0ms (20.8% of total)

ival-div: 2.0ms (5.9% of total)

ival-sqrt: 2.0ms (5.9% of total)

ival-add: 1.0ms (3% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.2086851872662563e+141	2.3305737619106518e+142

Results

21.0ms

96×

valid

Compiler

Compiled 220 to 161 computations (26.8% saved)

Precisions

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

ival-cos: 13.0ms (75.4% of total)

ival-mult: 2.0ms (11.6% of total)

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

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

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

const: 0.0ms (0% of total)

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

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

82×	`*-commutative_binary64`
40×	`+-commutative_binary64`
18×	`sub-neg_binary64`
18×	`neg-mul-1_binary64`
16×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	345
1	132	345
2	140	345
3	153	345
4	173	345
5	185	345
6	192	345
7	194	345

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (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 a2 (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) a2)
(.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)))
(if (<=.f64 th #s(literal 910 binary64)) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))))) (sqrt.f64 #s(literal 2 binary64))) (if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 th #s(literal 910 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 th #s(literal 910 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 th #s(literal 196 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64)))))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (.f64 (+.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 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 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 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (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) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (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 a2 (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) a2)
(.f64 a2 (.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 th #s(literal 910 binary64)) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))))) (sqrt.f64 #s(literal 2 binary64))) (if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 th #s(literal 910 binary64)) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 th (.f64 th #s(literal -1/720 binary64)))))))))) (sqrt.f64 #s(literal 2 binary64))) (if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 th #s(literal 910 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 th #s(literal 910 binary64)) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))))))) (if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 th #s(literal 910 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 th #s(literal 910 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))))))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 th #s(literal 196 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64)))))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 th #s(literal 196 binary64)) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))))) (if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (.f64 (+.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 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
(if (<=.f64 th #s(literal 4799999999999999946101589935304093514524761748039403393369605897471995462026567890801353119393460916822410282255856539548324907036740503470080 binary64)) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 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 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))

soundness2.5s (20.1%)

Rules

5134×	`-lowering-.f32`
5134×	`-lowering-.f64`
4714×	`-lowering-.f32`
4714×	`-lowering-.f64`
4346×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	368	6723
1	1255	5443
2	4852	5340
0	8094	5340
0	12	11
1	28	11
2	59	11
3	94	11
4	120	11
5	124	11
0	124	11
0	15	58
1	77	58
2	710	58
0	8748	58
0	143	2136
1	506	1796
2	1986	1700
3	4764	1676
0	8935	1676
0	316	5485
1	1059	4435
2	3999	4229
0	8201	4229
0	35	175
1	220	157
2	1752	157
0	8376	157
0	322	5039
1	1033	4139
2	3634	3896
0	8301	3896
0	33	199
1	185	168
2	1710	168
0	8539	168

Stop Event

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

Compiler

Compiled 1314 to 755 computations (42.5% saved)

preprocess181.0ms (1.5%)

Remove

(abs th)

(abs a2)

Compiler

Compiled 2680 to 1448 computations (46% saved)

analyze0.0ms (0%)

sample1.3s (10.8%)

preprocess71.0ms (0.6%)

explain133.0ms (1.1%)

eval3.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize105.0ms (0.8%)

series35.0ms (0.3%)

rewrite318.0ms (2.6%)

simplify264.0ms (2.1%)

eval101.0ms (0.8%)

prune101.0ms (0.8%)

simplify176.0ms (1.4%)

localize271.0ms (2.2%)

series43.0ms (0.3%)

rewrite483.0ms (3.9%)

simplify293.0ms (2.4%)

eval279.0ms (2.2%)

prune283.0ms (2.3%)

simplify173.0ms (1.4%)

localize256.0ms (2.1%)

series35.0ms (0.3%)

rewrite361.0ms (2.9%)

simplify297.0ms (2.4%)

eval218.0ms (1.8%)

prune455.0ms (3.7%)

simplify213.0ms (1.7%)

localize240.0ms (1.9%)

series21.0ms (0.2%)

rewrite389.0ms (3.1%)

simplify327.0ms (2.6%)

eval226.0ms (1.8%)

prune309.0ms (2.5%)

regimes339.0ms (2.7%)

regimes245.0ms (2%)

regimes208.0ms (1.7%)

regimes217.0ms (1.7%)

regimes201.0ms (1.6%)

regimes160.0ms (1.3%)

regimes158.0ms (1.3%)

regimes24.0ms (0.2%)

regimes24.0ms (0.2%)

regimes17.0ms (0.1%)

regimes26.0ms (0.2%)

regimes32.0ms (0.3%)

regimes28.0ms (0.2%)

regimes23.0ms (0.2%)

bsearch41.0ms (0.3%)

bsearch42.0ms (0.3%)

bsearch39.0ms (0.3%)

bsearch54.0ms (0.4%)

bsearch26.0ms (0.2%)

simplify19.0ms (0.2%)

soundness2.5s (20.1%)

preprocess181.0ms (1.5%)

end0.0ms (0%)

Profiling