Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.4s (11.6%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 639.0ms

ival-mult: 235.0ms (36.8% of total)

ival-cos: 207.0ms (32.4% of total)

ival-sqrt: 73.0ms (11.4% of total)

ival-div: 71.0ms (11.1% of total)

ival-add: 38.0ms (5.9% of total)

const: 12.0ms (1.9% of total)

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

Bogosity

preprocess66.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 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)

explain122.0ms (1%)

FPErrors

Click to see full error table

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

Results

72.0ms

512×

valid

Compiler

Compiled 142 to 38 computations (73.2% saved)

Precisions

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

ival-mult: 18.0ms (44.4% of total)

ival-cos: 12.0ms (29.6% of total)

ival-sqrt: 4.0ms (9.9% of total)

ival-div: 3.0ms (7.4% of total)

ival-add: 2.0ms (4.9% of total)

const: 1.0ms (2.5% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
▶	99.7%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))

Status

Accuracy

Program

▶

99.6%

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

▶

99.7%

(*.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)

simplify8.0ms (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

localize110.0ms (0.9%)

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	99.7%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))

Results

86.0ms

256×

valid

Compiler

Compiled 104 to 16 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 27.0ms (66.9% of total)

ival-cos: 6.0ms (14.9% of total)

ival-div: 3.0ms (7.4% of total)

ival-add: 2.0ms (5% of total)

ival-sqrt: 2.0ms (5% of total)

const: 0.0ms (0% of total)

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

series22.0ms (0.2%)

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
3.0ms	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)))

rewrite282.0ms (2.4%)

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	8747	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 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (/.f64 (/.f64 (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 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 a1 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 (.f64 a2 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 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(neg.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (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 a1 a1) (*.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (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 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (-.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)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) #s(literal 1 binary64)))
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(.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 (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #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 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(.f64 (.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 #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 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.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 a1 a1) (*.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (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) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #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 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 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 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.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 (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #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 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.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)))

simplify251.0ms (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)))
(+.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)
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
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(/.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)))

eval82.0ms (0.7%)

Compiler: Compiled 21199 to 1231 computations (94.2% saved)

prune174.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	774	11	785
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	776	11	787

Accuracy

100.0%

Counts

787 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
▶	67.3%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	27.7%	(/.f64 (.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 a1 a1) (*.f64 a2 a2)))
	98.7%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.5%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	99.7%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
	99.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	67.9%	(.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))))
▶	27.6%	(.f64 (cos.f64 th) (/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
	48.8%	(.f64 (cos.f64 th) (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64))))
▶	98.7%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 454 to 272 computations (40.1% saved)

simplify235.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5028×	`-lowering-.f32`
5028×	`-lowering-.f64`
3148×	`+-lowering-+.f64`
3148×	`+-lowering-+.f32`
1746×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	180
1	70	173
2	195	173
3	644	173
4	2637	173
5	7975	173
0	8206	173

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize150.0ms (1.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	95.9%	(-.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	accuracy	91.3%	(-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))
✓	accuracy	36.7%	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.6%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	99.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.7%	(/.f64 (*.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	99.7%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.7%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓	accuracy	99.7%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))

Results

95.0ms

256×

valid

Compiler

Compiled 278 to 26 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 16.0ms (39.6% of total)

ival-div: 13.0ms (32.2% of total)

ival-cos: 5.0ms (12.4% of total)

ival-sub: 2.0ms (5% of total)

ival-sqrt: 2.0ms (5% of total)

ival-add: 1.0ms (2.5% of total)

const: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Counts

17 → 360

Calls

Call 1

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

Outputs
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))>
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#<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)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (* -1 (pow a1 4))>
#<alt (- (pow a2 4) (pow a1 4))>
#<alt (- (pow a2 4) (pow a1 4))>
#<alt (- (pow a2 4) (pow a1 4))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))>
#<alt (pow a2 4)>
#<alt (+ (* -1 (pow a1 4)) (pow a2 4))>
#<alt (+ (* -1 (pow a1 4)) (pow a2 4))>
#<alt (+ (* -1 (pow a1 4)) (pow a2 4))>
#<alt (* -1 (pow a1 4))>
#<alt (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))>
#<alt (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))>
#<alt (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))>
#<alt (* -1 (pow a1 4))>
#<alt (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))>
#<alt (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))>
#<alt (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))>
#<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

90 calls:

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

rewrite499.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4738×	`/-lowering-/.f32`
4738×	`/-lowering-/.f64`
3470×	`-lowering-.f32`
3470×	`-lowering-.f64`
1582×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	108
1	164	105
2	1329	105
0	8559	105

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1657

Calls

Call 1

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

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

simplify294.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

5034×	`-lowering-.f32`
5034×	`-lowering-.f64`
2722×	`+-lowering-+.f64`
2722×	`+-lowering-+.f32`
2478×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	4970
1	778	3850
2	2950	3546
0	8376	3546

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(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 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) (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))
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 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 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))
(/ (- (pow a2 4) (pow a1 4)) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))
(- (+ (* -1/2 (/ (* (pow th 2) (- (pow a2 4) (pow a1 4))) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))) (/ (pow a2 4) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))) (/ (pow a1 4) (* (sqrt 2) (- (pow a2 2) (pow a1 2)))))
(- (+ (* (pow th 2) (+ (* -1/2 (/ (- (pow a2 4) (pow a1 4)) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))) (* 1/24 (/ (* (pow th 2) (- (pow a2 4) (pow a1 4))) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))))) (/ (pow a2 4) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))) (/ (pow a1 4) (* (sqrt 2) (- (pow a2 2) (pow a1 2)))))
(- (+ (* (pow th 2) (+ (* -1/2 (/ (- (pow a2 4) (pow a1 4)) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (- (pow a2 4) (pow a1 4))) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))) (* 1/24 (/ (- (pow a2 4) (pow a1 4)) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))))))) (/ (pow a2 4) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))) (/ (pow a1 4) (* (sqrt 2) (- (pow a2 2) (pow a1 2)))))
(/ (* (cos th) (- (pow a2 4) (pow a1 4))) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))
(/ (* (cos th) (- (pow a2 4) (pow a1 4))) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))
(/ (* (cos th) (- (pow a2 4) (pow a1 4))) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))
(/ (* (cos th) (- (pow a2 4) (pow a1 4))) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))
(/ (* (cos th) (- (pow a2 4) (pow a1 4))) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))
(/ (* (cos th) (- (pow a2 4) (pow a1 4))) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))
(/ (* (cos th) (- (pow a2 4) (pow a1 4))) (* (sqrt 2) (- (pow a2 2) (pow a1 2))))
(/ (* (cos th) (- (pow a2 4) (pow a1 4))) (* (sqrt 2) (- (pow a2 2) (pow a1 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 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) (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) (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)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(/ (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))
(* -1 (pow a1 4))
(- (pow a2 4) (pow a1 4))
(- (pow a2 4) (pow a1 4))
(- (pow a2 4) (pow a1 4))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(pow a2 4)
(+ (* -1 (pow a1 4)) (pow a2 4))
(+ (* -1 (pow a1 4)) (pow a2 4))
(+ (* -1 (pow a1 4)) (pow a2 4))
(* -1 (pow a1 4))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(* -1 (pow a1 4))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(* -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
(/ (* (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 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 a1) (/.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 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (.f64 (*.f64 a1 a1) (/.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 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (.f64 (*.f64 a1 a1) (/.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 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 a1) (/.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 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (.f64 (*.f64 a1 a1) (/.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 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (.f64 (*.f64 a1 a1) (/.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 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 a1) (/.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 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (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 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.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)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 th th))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64)))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 th th) (.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal -1/720 binary64))))))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
(pow a1 2)
(*.f64 a1 a1)
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a2 2)
(*.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)
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
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(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(pow a1 2)
(*.f64 a1 a1)
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(.f64 (+.f64 (.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/24 binary64) (.f64 th th)) #s(literal -1/2 binary64))) (*.f64 th th))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/24 binary64)) (.f64 (.f64 th th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -61/720 binary64)))))) (.f64 (+.f64 (.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(* -1 (pow a1 4))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a1 a1) (*.f64 a1 a1)))
(- (pow a2 4) (pow a1 4))
(-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))
(- (pow a2 4) (pow a1 4))
(-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))
(- (pow a2 4) (pow a1 4))
(-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))
(pow a2 4)
(.f64 (.f64 a2 a2) (*.f64 a2 a2))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))
(pow a2 4)
(.f64 (.f64 a2 a2) (*.f64 a2 a2))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))
(pow a2 4)
(.f64 (.f64 a2 a2) (*.f64 a2 a2))
(+ (* -1 (pow a1 4)) (pow a2 4))
(-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))
(+ (* -1 (pow a1 4)) (pow a2 4))
(-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))
(+ (* -1 (pow a1 4)) (pow a2 4))
(-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))
(* -1 (pow a1 4))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a1 a1) (*.f64 a1 a1)))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))))
(* -1 (pow a1 4))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a1 a1) (*.f64 a1 a1)))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))))
(* -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 (+.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) #s(literal -1 binary64)) a1) a1)
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 (.f64 (+.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) #s(literal -1 binary64)) a1) a1)
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 (.f64 (+.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) #s(literal -1 binary64)) 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 (+.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) #s(literal -1 binary64)) a1) a1)
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 (.f64 (+.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) #s(literal -1 binary64)) a1) a1)
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 (.f64 (+.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) #s(literal -1 binary64)) a1) a1)

eval340.0ms (2.9%)

Compiler: Compiled 121542 to 4351 computations (96.4% saved)

prune304.0ms (2.6%)

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	2660	32	2692
Fresh	6	0	6
Picked	2	3	5
Done	0	0	0
Total	2668	35	2703

Accuracy

100.0%

Counts

2703 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.5%	(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	14.5%	(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
	14.6%	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	14.5%	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
	67.9%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))
✓	99.7%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	62.1%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	67.3%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	14.4%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1)) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	14.3%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1)) (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
▶	8.9%	(/.f64 (.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	12.5%	(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.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 a2 a2) (.f64 a1 a1)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	8.9%	(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))
	98.7%	(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
▶	34.6%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
	66.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
	14.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	98.5%	(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
	52.1%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))))
	67.1%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	67.2%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
	4.5%	(.f64 (/.f64 (-.f64 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a1 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
	4.3%	(.f64 (/.f64 (-.f64 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a1 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (-.f64 a2 a1)))
	66.9%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2))) (+.f64 a1 a2))
	67.2%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	14.3%	(.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (*.f64 a1 a1)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
	13.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
	67.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	67.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	98.6%	(.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
	98.7%	(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
✓	98.7%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	98.6%	(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)))
▶	66.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 1719 to 927 computations (46.1% saved)

simplify190.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

4100×	`-lowering-.f32`
4100×	`-lowering-.f64`
1752×	`/-lowering-/.f32`
1752×	`/-lowering-/.f64`
1482×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	371
1	135	302
2	447	294
3	1694	285
4	6096	285
0	8125	285

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize194.0ms (1.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	89.7%	(-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))
✓	accuracy	77.7%	(.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	36.7%	(.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
✓	accuracy	22.2%	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1))
✓	accuracy	99.6%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	91.3%	(-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))
✓	accuracy	36.7%	(.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (*.f64 a1 a1)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.7%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	92.9%	(.f64 a2 (/.f64 a2 (.f64 a1 a1)))
✓	accuracy	88.9%	(/.f64 a2 (*.f64 a1 a1))
✓	accuracy	62.8%	(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.3%	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
✓	accuracy	99.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))

Results

123.0ms

256×

valid

Compiler

Compiled 527 to 41 computations (92.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 26.0ms (40.2% of total)

ival-div: 12.0ms (18.6% of total)

ival-sub: 7.0ms (10.8% of total)

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

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

ival-add: 5.0ms (7.7% of total)

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

const: 1.0ms (1.5% of total)

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

series52.0ms (0.4%)

Counts

25 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
9.0ms	a2	@	-inf	(* (- (* a2 (* a2 (* a2 a2))) (* a1 (* a1 (* a1 a1)))) (/ (/ (/ 1 (+ a1 a2)) (- a2 a1)) (sqrt 2)))
2.0ms	a2	@	inf	(/ (/ 1 (+ a1 a2)) (- a2 a1))
2.0ms	a1	@	-inf	(/ (/ 1 (+ a1 a2)) (- a2 a1))
1.0ms	a1	@	0	(/ (* (/ (- (* a2 (* a2 (* a2 a2))) (* a1 (* a1 (* a1 a1)))) (- (* (* a2 a2) (* a2 (* a2 (* a2 a2)))) (* (* a1 a1) (* a1 (* a1 (* a1 a1)))))) (+ (* a2 (* a2 (* a2 a2))) (* (* a1 a1) (+ (* a1 a1) (* a2 a2))))) (sqrt 2))
1.0ms	a2	@	0	(* (- (* a2 (* a2 (* a2 a2))) (* a1 (* a1 (* a1 a1)))) (/ (/ (/ 1 (+ a1 a2)) (- a2 a1)) (sqrt 2)))

rewrite387.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2972×	`/-lowering-/.f32`
2972×	`/-lowering-/.f64`
2886×	`-lowering-.f32`
2886×	`-lowering-.f64`
2118×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	273
1	281	202
2	2635	198
0	8427	198

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 941

Calls

Call 1

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

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

simplify305.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4710×	`-lowering-.f32`
4710×	`-lowering-.f64`
3650×	`+-lowering-+.f64`
3650×	`+-lowering-+.f32`
1238×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	6889
1	2409	5035
0	10034	5035

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

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

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

eval266.0ms (2.3%)

Compiler: Compiled 110262 to 4801 computations (95.6% saved)

prune302.0ms (2.6%)

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	1912	24	1936
Fresh	9	18	27
Picked	3	2	5
Done	1	2	3
Total	1925	46	1971

Accuracy

100.0%

Counts

1971 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.5%	(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	4.1%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 a1 a1)) (-.f64 #s(literal 1 binary64) (/.f64 a2 (/.f64 (*.f64 a1 a1) a2)))) (sqrt.f64 #s(literal 2 binary64)))
▶	14.5%	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
	67.9%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))
✓	99.7%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	62.1%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (+.f64 (.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	14.4%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1)) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	14.3%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1)) (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
	8.9%	(/.f64 (.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
▶	8.9%	(/.f64 (.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	12.5%	(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.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 a2 a2) (.f64 a1 a1)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
▶	98.7%	(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
	44.4%	(/.f64 (.f64 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 (/.f64 (*.f64 a1 a1) a2)))) a1) (sqrt.f64 #s(literal 2 binary64)))
	42.0%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a2 a1) a2) a1))) (sqrt.f64 #s(literal 2 binary64)))
	30.7%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	66.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
	14.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	98.5%	(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
	52.1%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))))
▶	66.8%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
	33.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (+.f64 #s(literal 1 binary64) (/.f64 a2 (/.f64 (.f64 a1 a1) a2)))))
	66.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
✓	99.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
	98.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (*.f64 a2 a2) (cos.f64 th)))
	98.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
	4.5%	(.f64 (/.f64 (-.f64 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a1 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
	4.3%	(.f64 (/.f64 (-.f64 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a1 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (-.f64 a2 a1)))
	15.0%	(.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (.f64 a1 a1))) #s(literal -1 binary64)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	13.4%	(.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	9.4%	(.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
	12.4%	(.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	14.3%	(.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))))
	2.2%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
	13.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
▶	67.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	67.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	4.5%	(.f64 (.f64 (-.f64 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
	14.1%	(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) a1) a1)
	98.7%	(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
	66.8%	(.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
	98.6%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
	67.2%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.7%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	66.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
	66.8%	(*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
	66.8%	(.f64 a2 (.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 2286 to 1257 computations (45% saved)

simplify214.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))
✓	cost-diff	256	(+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	cost-diff	256	(.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (*.f64 a2 a2))))
✓	cost-diff	256	(/.f64 (.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 a2 (.f64 a2 a2))
✓	cost-diff	0	(.f64 a2 (.f64 a2 (*.f64 a2 a2)))
✓	cost-diff	0	(-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))
✓	cost-diff	1024	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
✓	cost-diff	0	(*.f64 th th)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 th th))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
✓	cost-diff	0	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(*.f64 (cos.f64 th) a2)
✓	cost-diff	0	(.f64 (.f64 (cos.f64 th) a2) a2)
✓	cost-diff	0	(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))

Rules

5346×	`-lowering-.f32`
5346×	`-lowering-.f64`
1920×	`/-lowering-/.f32`
1920×	`/-lowering-/.f64`
1144×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	326
1	125	249
2	398	249
3	1453	243
4	5800	241
0	8489	241

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize187.0ms (1.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	89.7%	(-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))
✓	accuracy	77.6%	(.f64 (.f64 a1 a1) (*.f64 a2 a2))
✓	accuracy	36.7%	(.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (*.f64 a2 a2))))
✓	accuracy	22.2%	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))))))
✓	accuracy	99.6%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	accuracy	95.9%	(-.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	accuracy	91.3%	(-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))
✓	accuracy	36.6%	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 th th))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	97.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.8%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
✓	accuracy	99.2%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (.f64 (cos.f64 th) a2) a2)
✓	accuracy	99.9%	(*.f64 (cos.f64 th) a2)
✓	accuracy	99.7%	(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))

Results

112.0ms

256×

valid

Compiler

Compiled 451 to 37 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 26.0ms (48.1% of total)

ival-div: 12.0ms (22.2% of total)

ival-cos: 7.0ms (13% of total)

ival-sub: 5.0ms (9.3% of total)

ival-add: 2.0ms (3.7% of total)

ival-sqrt: 2.0ms (3.7% of total)

const: 1.0ms (1.9% of total)

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

series18.0ms (0.2%)

Counts

24 → 444

Calls

Call 1

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

Outputs
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (pow a2 2)>
#<alt (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt a2>
#<alt (+ a2 (* -1/2 (* a2 (pow th 2))))>
#<alt (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))>
#<alt (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt 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 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 (/ (sqrt 2) a2)>
#<alt (/ (sqrt 2) a2)>
#<alt (/ (sqrt 2) a2)>
#<alt (/ (sqrt 2) a2)>
#<alt (/ (sqrt 2) a2)>
#<alt (/ (sqrt 2) a2)>
#<alt (/ (sqrt 2) a2)>
#<alt (/ (sqrt 2) a2)>
#<alt (/ (sqrt 2) a2)>
#<alt (/ (sqrt 2) a2)>
#<alt (/ (sqrt 2) a2)>
#<alt (/ (sqrt 2) a2)>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))>
#<alt (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (* -1/2 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (* -1/2 (pow th 2))>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 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) (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 (* -1 (pow a1 4))>
#<alt (- (pow a2 4) (pow a1 4))>
#<alt (- (pow a2 4) (pow a1 4))>
#<alt (- (pow a2 4) (pow a1 4))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))>
#<alt (pow a2 4)>
#<alt (+ (* -1 (pow a1 4)) (pow a2 4))>
#<alt (+ (* -1 (pow a1 4)) (pow a2 4))>
#<alt (+ (* -1 (pow a1 4)) (pow a2 4))>
#<alt (* -1 (pow a1 4))>
#<alt (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))>
#<alt (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))>
#<alt (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))>
#<alt (* -1 (pow a1 4))>
#<alt (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))>
#<alt (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))>
#<alt (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))>
#<alt (pow a2 4)>
#<alt (pow a2 4)>
#<alt (pow a2 4)>
#<alt (pow a2 4)>
#<alt (pow a2 4)>
#<alt (pow a2 4)>
#<alt (pow a2 4)>
#<alt (pow a2 4)>
#<alt (pow a2 4)>
#<alt (pow a2 4)>
#<alt (pow a2 4)>
#<alt (pow a2 4)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (* (pow a2 2) (+ (* -1 (/ (pow a2 2) (* (pow a1 4) (sqrt 2)))) (/ 1 (* (pow a1 2) (sqrt 2))))) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* (pow a2 2) (+ (* (pow a2 2) (- (/ (pow a2 4) (* (pow a1 8) (sqrt 2))) (/ 1 (* (pow a1 4) (sqrt 2))))) (/ 1 (* (pow a1 2) (sqrt 2))))) (/ 1 (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 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (+ (/ (pow a1 2) (* (pow a2 2) (sqrt 2))) (/ (pow a1 8) (* (pow a2 8) (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 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (+ (/ (pow a1 2) (* (pow a2 2) (sqrt 2))) (/ (pow a1 8) (* (pow a2 8) (sqrt 2)))))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (+ (* (pow a1 2) (- (/ (pow a1 4) (* (pow a2 6) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a2 4) (* (pow a1 2) (sqrt 2))))>
#<alt (+ (* -1 (/ (pow a2 6) (* (pow a1 4) (sqrt 2)))) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a2 4) (* (pow a1 2) (sqrt 2)))))>
#<alt (+ (* -1 (/ (pow a2 6) (* (pow a1 4) (sqrt 2)))) (+ (/ (pow a2 2) (sqrt 2)) (+ (/ (pow a2 4) (* (pow a1 2) (sqrt 2))) (/ (pow a2 10) (* (pow a1 8) (sqrt 2))))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a2 4) (* (pow a1 2) (sqrt 2))))>
#<alt (+ (* -1 (/ (pow a2 6) (* (pow a1 4) (sqrt 2)))) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a2 4) (* (pow a1 2) (sqrt 2)))))>
#<alt (+ (* -1 (/ (pow a2 6) (* (pow a1 4) (sqrt 2)))) (+ (/ (pow a2 2) (sqrt 2)) (+ (/ (pow a2 4) (* (pow a1 2) (sqrt 2))) (/ (pow a2 10) (* (pow a1 8) (sqrt 2))))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a2 2) (+ 1 (* (pow a2 2) (+ (* -1 (/ (pow a2 2) (pow a1 4))) (/ 1 (pow a1 2))))))>
#<alt (* (pow a2 2) (+ 1 (* (pow a2 2) (+ (* (pow a2 2) (- (/ (pow a2 4) (pow a1 8)) (/ 1 (pow a1 4)))) (/ 1 (pow a1 2))))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (+ (/ (pow a1 2) (pow a2 2)) (/ (pow a1 8) (pow a2 8))))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (+ (/ (pow a1 2) (pow a2 2)) (/ (pow a1 8) (pow a2 8))))))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (* (pow a1 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2))))) (pow a2 2))>
#<alt (+ (* (pow a1 2) (+ 1 (* (pow a1 2) (- (/ (pow a1 4) (pow a2 6)) (/ 1 (pow a2 2)))))) (pow a2 2))>
#<alt (pow a2 2)>
#<alt (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2))>
#<alt (+ (* -1 (/ (pow a2 6) (pow a1 4))) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))>
#<alt (+ (* -1 (/ (pow a2 6) (pow a1 4))) (+ (/ (pow a2 4) (pow a1 2)) (+ (/ (pow a2 10) (pow a1 8)) (pow a2 2))))>
#<alt (pow a2 2)>
#<alt (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2))>
#<alt (+ (* -1 (/ (pow a2 6) (pow a1 4))) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))>
#<alt (+ (* -1 (/ (pow a2 6) (pow a1 4))) (+ (/ (pow a2 4) (pow a1 2)) (+ (/ (pow a2 10) (pow a1 8)) (pow a2 2))))>
#<alt (* (pow a1 2) (pow a2 2))>
#<alt (* (pow a2 2) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (pow a2 2) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (pow a2 2) (+ (pow a1 2) (pow a2 2)))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 4) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 4) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 4) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 4) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 4)>
#<alt (+ (* (pow a1 2) (pow a2 2)) (pow a2 4))>
#<alt (+ (* (pow a1 2) (pow a2 2)) (pow a2 4))>
#<alt (+ (* (pow a1 2) (pow a2 2)) (pow a2 4))>
#<alt (* (pow a1 2) (pow a2 2))>
#<alt (* (pow a1 2) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))>
#<alt (* (pow a1 2) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))>
#<alt (* (pow a1 2) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))>
#<alt (* (pow a1 2) (pow a2 2))>
#<alt (* (pow a1 2) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))>
#<alt (* (pow a1 2) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))>
#<alt (* (pow a1 2) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))>
#<alt (/ 1 (pow a1 2))>
#<alt (+ (* -1 (/ (pow a2 4) (pow a1 6))) (/ 1 (pow a1 2)))>
#<alt (+ (* (pow a2 4) (- (/ (pow a2 2) (pow a1 8)) (/ 1 (pow a1 6)))) (/ 1 (pow a1 2)))>
#<alt (+ (* (pow a2 4) (- (* (pow a2 2) (+ (* -1 (/ (pow a2 4) (pow a1 12))) (/ 1 (pow a1 8)))) (/ 1 (pow a1 6)))) (/ 1 (pow a1 2)))>
#<alt (/ 1 (pow a2 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))) (pow a2 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 6) (pow a2 6)))) (pow a2 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (* -1 (/ (pow a1 10) (pow a2 10))))) (* -1 (/ (pow a1 6) (pow a2 6)))) (pow a2 2))>
#<alt (/ 1 (pow a2 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))) (pow a2 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 6) (pow a2 6)))) (pow a2 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (* -1 (/ (pow a1 10) (pow a2 10))))) (* -1 (/ (pow a1 6) (pow a2 6)))) (pow a2 2))>
#<alt (/ 1 (pow a2 2))>
#<alt (+ (* -1 (/ (pow a1 4) (pow a2 6))) (/ 1 (pow a2 2)))>
#<alt (+ (* (pow a1 4) (- (/ (pow a1 2) (pow a2 8)) (/ 1 (pow a2 6)))) (/ 1 (pow a2 2)))>
#<alt (+ (* (pow a1 4) (- (* (pow a1 2) (+ (* -1 (/ (pow a1 4) (pow a2 12))) (/ 1 (pow a2 8)))) (/ 1 (pow a2 6)))) (/ 1 (pow a2 2)))>
#<alt (/ 1 (pow a1 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))) (pow a1 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 6) (pow a1 6)))) (pow a1 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ (pow a2 4) (pow a1 4))) (* -1 (/ (pow a2 10) (pow a1 10))))) (* -1 (/ (pow a2 6) (pow a1 6)))) (pow a1 2))>
#<alt (/ 1 (pow a1 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))) (pow a1 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 6) (pow a1 6)))) (pow a1 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ (pow a2 4) (pow a1 4))) (* -1 (/ (pow a2 10) (pow a1 10))))) (* -1 (/ (pow a2 6) (pow a1 6)))) (pow a1 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 (* -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))))>
#<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) (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) (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) (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) (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) (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) (pow a2 2))>
#<alt (* -1 (pow a1 6))>
#<alt (- (pow a2 6) (pow a1 6))>
#<alt (- (pow a2 6) (pow a1 6))>
#<alt (- (pow a2 6) (pow a1 6))>
#<alt (pow a2 6)>
#<alt (* (pow a2 6) (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))))>
#<alt (* (pow a2 6) (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))))>
#<alt (* (pow a2 6) (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))))>
#<alt (pow a2 6)>
#<alt (* (pow a2 6) (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))))>
#<alt (* (pow a2 6) (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))))>
#<alt (* (pow a2 6) (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))))>
#<alt (pow a2 6)>
#<alt (+ (* -1 (pow a1 6)) (pow a2 6))>
#<alt (+ (* -1 (pow a1 6)) (pow a2 6))>
#<alt (+ (* -1 (pow a1 6)) (pow a2 6))>
#<alt (* -1 (pow a1 6))>
#<alt (* (pow a1 6) (- (/ (pow a2 6) (pow a1 6)) 1))>
#<alt (* (pow a1 6) (- (/ (pow a2 6) (pow a1 6)) 1))>
#<alt (* (pow a1 6) (- (/ (pow a2 6) (pow a1 6)) 1))>
#<alt (* -1 (pow a1 6))>
#<alt (* (pow a1 6) (- (/ (pow a2 6) (pow a1 6)) 1))>
#<alt (* (pow a1 6) (- (/ (pow a2 6) (pow a1 6)) 1))>
#<alt (* (pow a1 6) (- (/ (pow a2 6) (pow a1 6)) 1))>

Calls

111 calls:

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

rewrite481.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3346×	`-lowering-.f32`
3346×	`-lowering-.f64`
3332×	`/-lowering-/.f32`
3332×	`/-lowering-/.f64`
1858×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	244
1	245	176
2	2186	176
0	8922	176

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 983

Calls

Call 1

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

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

simplify331.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

4628×	`-lowering-.f32`
4628×	`-lowering-.f64`
3252×	`+-lowering-+.f64`
3252×	`+-lowering-+.f32`
2444×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	4616
1	954	3848
2	3262	3629
0	8377	3629

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(/ (pow a2 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(pow a2 2)
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
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 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))
(/ (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)
(/ (pow a2 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* -1/2 (pow th 2)))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(* -1/2 (pow th 2))
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 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) (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)))))
(* -1 (pow a1 4))
(- (pow a2 4) (pow a1 4))
(- (pow a2 4) (pow a1 4))
(- (pow a2 4) (pow a1 4))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))
(pow a2 4)
(+ (* -1 (pow a1 4)) (pow a2 4))
(+ (* -1 (pow a1 4)) (pow a2 4))
(+ (* -1 (pow a1 4)) (pow a2 4))
(* -1 (pow a1 4))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(* -1 (pow a1 4))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))
(pow a2 4)
(pow a2 4)
(pow a2 4)
(pow a2 4)
(pow a2 4)
(pow a2 4)
(pow a2 4)
(pow a2 4)
(pow a2 4)
(pow a2 4)
(pow a2 4)
(pow a2 4)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a2 2) (+ (* (pow a2 2) (+ (* -1 (/ (pow a2 2) (* (pow a1 4) (sqrt 2)))) (/ 1 (* (pow a1 2) (sqrt 2))))) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* (pow a2 2) (+ (* (pow a2 2) (- (/ (pow a2 4) (* (pow a1 8) (sqrt 2))) (/ 1 (* (pow a1 4) (sqrt 2))))) (/ 1 (* (pow a1 2) (sqrt 2))))) (/ 1 (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 (/ (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 4) (* (pow a2 4) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (+ (/ (pow a1 2) (* (pow a2 2) (sqrt 2))) (/ (pow a1 8) (* (pow a2 8) (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 (/ (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 4) (* (pow a2 4) (sqrt 2)))) (+ (/ 1 (sqrt 2)) (+ (/ (pow a1 2) (* (pow a2 2) (sqrt 2))) (/ (pow a1 8) (* (pow a2 8) (sqrt 2)))))))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (+ (* (pow a1 2) (- (/ (pow a1 4) (* (pow a2 6) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a2 2) (sqrt 2)) (/ (pow a2 4) (* (pow a1 2) (sqrt 2))))
(+ (* -1 (/ (pow a2 6) (* (pow a1 4) (sqrt 2)))) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a2 4) (* (pow a1 2) (sqrt 2)))))
(+ (* -1 (/ (pow a2 6) (* (pow a1 4) (sqrt 2)))) (+ (/ (pow a2 2) (sqrt 2)) (+ (/ (pow a2 4) (* (pow a1 2) (sqrt 2))) (/ (pow a2 10) (* (pow a1 8) (sqrt 2))))))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a2 2) (sqrt 2)) (/ (pow a2 4) (* (pow a1 2) (sqrt 2))))
(+ (* -1 (/ (pow a2 6) (* (pow a1 4) (sqrt 2)))) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a2 4) (* (pow a1 2) (sqrt 2)))))
(+ (* -1 (/ (pow a2 6) (* (pow a1 4) (sqrt 2)))) (+ (/ (pow a2 2) (sqrt 2)) (+ (/ (pow a2 4) (* (pow a1 2) (sqrt 2))) (/ (pow a2 10) (* (pow a1 8) (sqrt 2))))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a2 2) (+ 1 (* (pow a2 2) (+ (* -1 (/ (pow a2 2) (pow a1 4))) (/ 1 (pow a1 2))))))
(* (pow a2 2) (+ 1 (* (pow a2 2) (+ (* (pow a2 2) (- (/ (pow a2 4) (pow a1 8)) (/ 1 (pow a1 4)))) (/ 1 (pow a1 2))))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (+ (/ (pow a1 2) (pow a2 2)) (/ (pow a1 8) (pow a2 8))))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (+ (/ (pow a1 2) (pow a2 2)) (/ (pow a1 8) (pow a2 8))))))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (* (pow a1 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2))))) (pow a2 2))
(+ (* (pow a1 2) (+ 1 (* (pow a1 2) (- (/ (pow a1 4) (pow a2 6)) (/ 1 (pow a2 2)))))) (pow a2 2))
(pow a2 2)
(+ (/ (pow a2 4) (pow a1 2)) (pow a2 2))
(+ (* -1 (/ (pow a2 6) (pow a1 4))) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))
(+ (* -1 (/ (pow a2 6) (pow a1 4))) (+ (/ (pow a2 4) (pow a1 2)) (+ (/ (pow a2 10) (pow a1 8)) (pow a2 2))))
(pow a2 2)
(+ (/ (pow a2 4) (pow a1 2)) (pow a2 2))
(+ (* -1 (/ (pow a2 6) (pow a1 4))) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))
(+ (* -1 (/ (pow a2 6) (pow a1 4))) (+ (/ (pow a2 4) (pow a1 2)) (+ (/ (pow a2 10) (pow a1 8)) (pow a2 2))))
(* (pow a1 2) (pow a2 2))
(* (pow a2 2) (+ (pow a1 2) (pow a2 2)))
(* (pow a2 2) (+ (pow a1 2) (pow a2 2)))
(* (pow a2 2) (+ (pow a1 2) (pow a2 2)))
(pow a2 4)
(* (pow a2 4) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 4) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 4) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 4)
(* (pow a2 4) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 4) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 4) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 4)
(+ (* (pow a1 2) (pow a2 2)) (pow a2 4))
(+ (* (pow a1 2) (pow a2 2)) (pow a2 4))
(+ (* (pow a1 2) (pow a2 2)) (pow a2 4))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))
(* (pow a1 2) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))
(* (pow a1 2) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))
(* (pow a1 2) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))
(* (pow a1 2) (+ (/ (pow a2 4) (pow a1 2)) (pow a2 2)))
(/ 1 (pow a1 2))
(+ (* -1 (/ (pow a2 4) (pow a1 6))) (/ 1 (pow a1 2)))
(+ (* (pow a2 4) (- (/ (pow a2 2) (pow a1 8)) (/ 1 (pow a1 6)))) (/ 1 (pow a1 2)))
(+ (* (pow a2 4) (- (* (pow a2 2) (+ (* -1 (/ (pow a2 4) (pow a1 12))) (/ 1 (pow a1 8)))) (/ 1 (pow a1 6)))) (/ 1 (pow a1 2)))
(/ 1 (pow a2 2))
(/ (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))) (pow a2 2))
(/ (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 6) (pow a2 6)))) (pow a2 2))
(/ (- (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (* -1 (/ (pow a1 10) (pow a2 10))))) (* -1 (/ (pow a1 6) (pow a2 6)))) (pow a2 2))
(/ 1 (pow a2 2))
(/ (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))) (pow a2 2))
(/ (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 6) (pow a2 6)))) (pow a2 2))
(/ (- (+ 1 (+ (* -1 (/ (pow a1 4) (pow a2 4))) (* -1 (/ (pow a1 10) (pow a2 10))))) (* -1 (/ (pow a1 6) (pow a2 6)))) (pow a2 2))
(/ 1 (pow a2 2))
(+ (* -1 (/ (pow a1 4) (pow a2 6))) (/ 1 (pow a2 2)))
(+ (* (pow a1 4) (- (/ (pow a1 2) (pow a2 8)) (/ 1 (pow a2 6)))) (/ 1 (pow a2 2)))
(+ (* (pow a1 4) (- (* (pow a1 2) (+ (* -1 (/ (pow a1 4) (pow a2 12))) (/ 1 (pow a2 8)))) (/ 1 (pow a2 6)))) (/ 1 (pow a2 2)))
(/ 1 (pow a1 2))
(/ (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))) (pow a1 2))
(/ (+ 1 (+ (* -1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 6) (pow a1 6)))) (pow a1 2))
(/ (- (+ 1 (+ (* -1 (/ (pow a2 4) (pow a1 4))) (* -1 (/ (pow a2 10) (pow a1 10))))) (* -1 (/ (pow a2 6) (pow a1 6)))) (pow a1 2))
(/ 1 (pow a1 2))
(/ (+ 1 (* -1 (/ (pow a2 4) (pow a1 4)))) (pow a1 2))
(/ (+ 1 (+ (* -1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 6) (pow a1 6)))) (pow a1 2))
(/ (- (+ 1 (+ (* -1 (/ (pow a2 4) (pow a1 4))) (* -1 (/ (pow a2 10) (pow a1 10))))) (* -1 (/ (pow a2 6) (pow a1 6)))) (pow a1 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(* -1 (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))))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* (pow a1 2) (pow a2 2))
(* -1 (pow a1 6))
(- (pow a2 6) (pow a1 6))
(- (pow a2 6) (pow a1 6))
(- (pow a2 6) (pow a1 6))
(pow a2 6)
(* (pow a2 6) (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))))
(* (pow a2 6) (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))))
(* (pow a2 6) (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))))
(pow a2 6)
(* (pow a2 6) (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))))
(* (pow a2 6) (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))))
(* (pow a2 6) (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))))
(pow a2 6)
(+ (* -1 (pow a1 6)) (pow a2 6))
(+ (* -1 (pow a1 6)) (pow a2 6))
(+ (* -1 (pow a1 6)) (pow a2 6))
(* -1 (pow a1 6))
(* (pow a1 6) (- (/ (pow a2 6) (pow a1 6)) 1))
(* (pow a1 6) (- (/ (pow a2 6) (pow a1 6)) 1))
(* (pow a1 6) (- (/ (pow a2 6) (pow a1 6)) 1))
(* -1 (pow a1 6))
(* (pow a1 6) (- (/ (pow a2 6) (pow a1 6)) 1))
(* (pow a1 6) (- (/ (pow a2 6) (pow a1 6)) 1))
(* (pow a1 6) (- (/ (pow a2 6) (pow a1 6)) 1))

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

eval213.0ms (1.8%)

Compiler: Compiled 101957 to 4058 computations (96% saved)

prune525.0ms (4.5%)

Pruning

50 alts after pruning (45 fresh and 5 done)

	Pruned	Kept	Total
New	1642	23	1665
Fresh	15	22	37
Picked	4	1	5
Done	0	4	4
Total	1661	50	1711

Accuracy

100.0%

Counts

1711 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.1%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (.f64 a1 a1)) (-.f64 #s(literal 1 binary64) (/.f64 a2 (/.f64 (*.f64 a1 a1) a2)))) (sqrt.f64 #s(literal 2 binary64)))
	66.9%	(/.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a2))
	12.5%	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	9.5%	(/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 a1 (.f64 a1 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))))
	3.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
✓	99.7%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	14.3%	(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1)) (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
	8.9%	(/.f64 (.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	8.9%	(/.f64 (.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	5.3%	(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a1 a1)))) (.f64 a1 a1)) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	12.5%	(/.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.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 a2 a2) (.f64 a1 a1)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	57.2%	(/.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 th th)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (-.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	8.9%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	13.6%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a2 a2)) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	66.8%	(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
	18.9%	(/.f64 (.f64 (.f64 a2 a2) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (sqrt.f64 #s(literal 2 binary64)))
	44.4%	(/.f64 (.f64 (.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 (/.f64 (*.f64 a1 a1) a2)))) a1) (sqrt.f64 #s(literal 2 binary64)))
	42.0%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a2 a1) a2) a1))) (sqrt.f64 #s(literal 2 binary64)))
	14.5%	(/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
	66.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
	14.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	98.5%	(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
	52.1%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))))))
✓	66.8%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
	66.8%	(/.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	33.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (+.f64 #s(literal 1 binary64) (/.f64 a2 (/.f64 (.f64 a1 a1) a2)))))
	66.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
	67.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (.f64 a2 a2))))
✓	99.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
	98.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (*.f64 a2 a2) (cos.f64 th)))
	66.8%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2))
	4.5%	(.f64 (/.f64 (-.f64 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a1 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
	4.3%	(.f64 (/.f64 (-.f64 (.f64 a2 (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a1 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (-.f64 a2 a1)))
	67.4%	(.f64 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/2 binary64)))))
	98.7%	(.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) a2))
	15.0%	(.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (.f64 a2 a2) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (.f64 a1 a1))) #s(literal -1 binary64)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	13.4%	(.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	12.4%	(.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	14.3%	(.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))))
	2.2%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
	67.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
	14.1%	(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) a1) a1)
	98.6%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
	18.9%	(.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	67.2%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.7%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	98.7%	(.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
✓	66.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
	66.7%	(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64))))))
	66.8%	(.f64 a2 (.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 3291 to 988 computations (70% saved)

regimes300.0ms (2.6%)

Counts

92 → 1

Calls

Call 1

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

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

Calls

8 calls:

69.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
38.0ms	(cos.f64 th)
37.0ms	(*.f64 a2 a2)
35.0ms	a1
29.0ms	a2

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes187.0ms (1.6%)

Counts

83 → 1

Calls

Call 1

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

28.0ms	a2
26.0ms	(cos.f64 th)
26.0ms	th
25.0ms	(*.f64 a1 a1)
25.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.7%	1	`a1`
99.7%	1	`a2`
99.7%	1	`th`
99.7%	1	`(cos.f64 th)`
99.7%	1	`(*.f64 a1 a1)`
99.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes176.0ms (1.5%)

Counts

81 → 1

Calls

Call 1

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

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

Calls

6 calls:

37.0ms	th
32.0ms	a2
27.0ms	(cos.f64 th)
25.0ms	a1
24.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
98.7%	1	`a1`
98.7%	1	`a2`
98.7%	1	`th`
98.7%	1	`(cos.f64 th)`
98.7%	1	`(*.f64 a1 a1)`
98.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes142.0ms (1.2%)

Counts

70 → 1

Calls

Call 1

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

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

Calls

6 calls:

25.0ms	(*.f64 a2 a2)
22.0ms	a2
21.0ms	a1
21.0ms	th
19.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
98.7%	1	`th`
98.7%	1	`a1`
98.7%	1	`a2`
98.7%	1	`(cos.f64 th)`
98.7%	1	`(*.f64 a1 a1)`
98.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes133.0ms (1.1%)

Counts

69 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

39.0ms	a1
26.0ms	th
23.0ms	a2
22.0ms	(*.f64 a2 a2)
18.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
70.0%	2	`th`
69.8%	2	`a1`
72.4%	2	`a2`
67.9%	1	`(*.f64 a1 a1)`
70.4%	2	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

a2

Results

Accuracy	Segments	Branch
72.4%	2	`a2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.3%	1	`a1`
71.2%	3	`th`
67.3%	1	`(*.f64 a2 a2)`
67.3%	1	`a2`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes62.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	a2
7.0ms	th
5.0ms	(*.f64 a2 a2)
5.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
67.3%	1	`a2`
67.3%	1	`(*.f64 a2 a2)`
67.3%	1	`(*.f64 a1 a1)`
67.3%	1	`th`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes23.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(*.f64 a2 a2)
4.0ms	a2
4.0ms	th
4.0ms	a1
3.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
66.9%	1	`a1`
66.9%	1	`(*.f64 a1 a1)`
66.9%	1	`a2`
66.9%	1	`th`
66.9%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Accuracy

Total -33.9b remaining (-160%)

Threshold costs -33.9b (-160%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.9%	1	`a1`
66.9%	1	`(*.f64 a1 a1)`
66.9%	1	`a2`
66.9%	1	`th`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
9.0ms	1.4410041251589855e+234	2.732958962343017e+234

Results

7.0ms

64×

valid

Compiler

Compiled 156 to 113 computations (27.6% saved)

Precisions

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

ival-cos: 2.0ms (44.7% of total)

ival-mult: 2.0ms (44.7% of total)

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

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

const: 0.0ms (0% of total)

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

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

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
9.0ms	1.4410041251589855e+234	2.732958962343017e+234

Results

6.0ms

64×

valid

Compiler

Compiled 156 to 113 computations (27.6% saved)

Precisions

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

ival-mult: 2.0ms (46.2% of total)

ival-cos: 1.0ms (23.1% of total)

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

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

const: 0.0ms (0% of total)

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

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

bsearch63.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.7748860646968646e+229	7.860877257031203e+229
43.0ms	2.10061304850254e+95	1.716604101628438e+101

Results

51.0ms

240×

valid

Compiler

Compiled 454 to 335 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-cos: 8.0ms (37.1% of total)

ival-mult: 8.0ms (37.1% of total)

ival-div: 2.0ms (9.3% of total)

ival-sqrt: 2.0ms (9.3% of total)

ival-add: 1.0ms (4.6% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	168
1	67	168

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (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))))
(if (<=.f64 a2 #s(literal 1499999999999999938548331558578598705949642076055371978435850355477707494173728296054559125642470741060162202510376965549549291856508219174810539152433513200177221135252828205477658028428618956053715942894195823893817565643827352436736 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(if (<=.f64 a2 #s(literal 1799999999999999996858346837999755870867291546382142957906868222862687110093522226832816709800927386919042667893202282931905787684909777462855068629879989530876492574477046507343091921182245761580260943790623181766515065743456082067456 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))))))
(if (<=.f64 th #s(literal 8999999999999999948859130765266355329578537025198862586562510896759102769772101980841694466750283776 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (if (<=.f64 th #s(literal 39499999999999998869678137482799725723385990685117711601978398135400194229945800469727983558652153936798654004719328091601686727616640651759249084257883294041122894749954243651844286921293339864207642380166426663117996202381017088 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))

Outputs
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (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 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 a2 #s(literal 1499999999999999938548331558578598705949642076055371978435850355477707494173728296054559125642470741060162202510376965549549291856508219174810539152433513200177221135252828205477658028428618956053715942894195823893817565643827352436736 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(if (<=.f64 a2 #s(literal 1799999999999999996858346837999755870867291546382142957906868222862687110093522226832816709800927386919042667893202282931905787684909777462855068629879989530876492574477046507343091921182245761580260943790623181766515065743456082067456 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))))))
(if (<=.f64 th #s(literal 8999999999999999948859130765266355329578537025198862586562510896759102769772101980841694466750283776 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (if (<=.f64 th #s(literal 39499999999999998869678137482799725723385990685117711601978398135400194229945800469727983558652153936798654004719328091601686727616640651759249084257883294041122894749954243651844286921293339864207642380166426663117996202381017088 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(if (<=.f64 th #s(literal 8999999999999999948859130765266355329578537025198862586562510896759102769772101980841694466750283776 binary64)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (if (<=.f64 th #s(literal 39499999999999998869678137482799725723385990685117711601978398135400194229945800469727983558652153936798654004719328091601686727616640651759249084257883294041122894749954243651844286921293339864207642380166426663117996202381017088 binary64)) (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))

soundness2.4s (20.8%)

Rules

5134×	`-lowering-.f32`
5134×	`-lowering-.f64`
5034×	`-lowering-.f32`
5034×	`-lowering-.f64`
4738×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	4970
1	778	3850
2	2950	3546
0	8376	3546
0	36	244
1	245	176
2	2186	176
0	8922	176
0	25	108
1	164	105
2	1329	105
0	8559	105
0	676	6889
1	2409	5035
0	10034	5035
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	8747	58
0	309	4616
1	954	3848
2	3262	3629
0	8377	3629
0	143	2136
1	506	1796
2	1986	1700
3	4764	1676
0	8935	1676

Stop Event

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

Compiler

Compiled 744 to 456 computations (38.7% saved)

preprocess125.0ms (1.1%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 898 to 470 computations (47.7% saved)

analyze0.0ms (0%)

sample1.4s (11.6%)

preprocess66.0ms (0.6%)

explain122.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize110.0ms (0.9%)

series22.0ms (0.2%)

rewrite282.0ms (2.4%)

simplify251.0ms (2.1%)

eval82.0ms (0.7%)

prune174.0ms (1.5%)

simplify235.0ms (2%)

localize150.0ms (1.3%)

series30.0ms (0.3%)

rewrite499.0ms (4.2%)

simplify294.0ms (2.5%)

eval340.0ms (2.9%)

prune304.0ms (2.6%)

simplify190.0ms (1.6%)

localize194.0ms (1.6%)

series52.0ms (0.4%)

rewrite387.0ms (3.3%)

simplify305.0ms (2.6%)

eval266.0ms (2.3%)

prune302.0ms (2.6%)

simplify214.0ms (1.8%)

localize187.0ms (1.6%)

series18.0ms (0.2%)

rewrite481.0ms (4.1%)

simplify331.0ms (2.8%)

eval213.0ms (1.8%)

prune525.0ms (4.5%)

regimes300.0ms (2.6%)

regimes187.0ms (1.6%)

regimes176.0ms (1.5%)

regimes142.0ms (1.2%)

regimes133.0ms (1.1%)

regimes9.0ms (0.1%)

regimes27.0ms (0.2%)

regimes62.0ms (0.5%)

regimes23.0ms (0.2%)

regimes22.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch63.0ms (0.5%)

simplify10.0ms (0.1%)

soundness2.4s (20.8%)

preprocess125.0ms (1.1%)

end0.0ms (0%)

Profiling