Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze11.0ms (0.1%)

Memory

-40.6MiB live, 2.1MiB allocated

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 21 to 14 computations (33.3% saved)

sample1.2s (13%)

Memory

55.0MiB live, 1 622.5MiB allocated

Samples

838.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 583.0ms

ival-cos: 219.0ms (37.6% of total)

ival-mult: 209.0ms (35.8% of total)

ival-sqrt: 56.0ms (9.6% of total)

ival-div: 51.0ms (8.7% of total)

ival-add: 35.0ms (6% of total)

ival-true: 6.0ms (1% of total)

exact: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain168.0ms (1.9%)

Memory

2.3MiB live, 198.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-cos: 12.0ms (36.4% of total)

ival-mult: 12.0ms (36.4% of total)

ival-sqrt: 4.0ms (12.1% of total)

ival-div: 3.0ms (9.1% of total)

ival-add: 2.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess214.0ms (2.4%)

Memory

-7.5MiB live, 190.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	120
1	163	120
2	592	120
3	1529	120
4	2996	120
5	4325	120
6	6209	120
0	12	19
0	20	13
1	52	13
2	173	13
3	545	13
4	1088	13
5	1591	13
6	2270	13
7	3612	13
8	6081	13
0	8097	12

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs

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

Symmetry

(abs th)

(abs a2)

(abs a1)

(sort a1 a2)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify160.0ms (1.8%)

Memory

-40.5MiB live, 100.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	7	(+.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	20	50
1	52	50
2	173	50
3	545	50
4	1088	50
5	1591	50
6	2270	50
7	3612	50
8	6081	50
0	8097	49

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

32.2MiB live, 32.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 th)
accuracy	0.23113251953688405	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.392991128216253	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
accuracy	0.6796875	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

25.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 6.0ms (37.8% of total)

ival-mult: 5.0ms (31.5% of total)

ival-div: 2.0ms (12.6% of total)

ival-sqrt: 2.0ms (12.6% of total)

ival-add: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.4%)

Memory

-22.5MiB live, 23.5MiB allocated

Counts

5 → 27

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	th	@	inf	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
3.0ms	th	@	-inf	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	a1	@	0	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	0	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
1.0ms	a2	@	0	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

simplify196.0ms (2.2%)

Memory

5.4MiB live, 149.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	543
1	388	508
2	1688	439
3	5754	424
0	8567	387

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

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

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

rewrite234.0ms (2.6%)

Memory

-7.1MiB live, 142.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	20	38
1	72	38
2	505	38
3	7079	38
0	8822	37

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 236

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (cos.f64 th) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 a1 a1))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 6 binary64)))) (fma.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (cos.f64 th) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (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)))
(/.f64 (/.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))) (fma.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64))))))
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(fma.f64 (.f64 (neg.f64 a1) (cos.f64 th)) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (neg.f64 a1) (cos.f64 th)) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (neg.f64 a2) (cos.f64 th)) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (neg.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1) (.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (neg.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1) (.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) a1) (/.f64 a1 (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 a1 a1) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (.f64 (neg.f64 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2) (.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 4 binary64)) (/.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (.f64 (.f64 (neg.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (neg.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (fabs.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (fabs.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 (pow.f64 a2 #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a2 #s(literal 6 binary64)) (/.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 (pow.f64 a1 #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (/.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 a1 #s(literal 3 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1 (.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1 (.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (cos.f64 th)) (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (cos.f64 th)) (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (cos.f64 th)) (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 a2) (.f64 (neg.f64 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (.f64 a1 a1) (/.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.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 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 (neg.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (neg.f64 a1) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (neg.f64 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a1 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (neg.f64 a1) (cos.f64 th)) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)
(.f64 (neg.f64 (cos.f64 th)) (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 a1 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 a1 (cos.f64 th)) (neg.f64 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (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)))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 0 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 th)) (.f64 #s(literal 0 binary64) (sin.f64 th))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 th)) (.f64 #s(literal 1 binary64) (cos.f64 th)))) (-.f64 (.f64 #s(literal 0 binary64) (sin.f64 th)) (.f64 #s(literal 1 binary64) (cos.f64 th))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 th)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 th)) (.f64 #s(literal 0 binary64) (sin.f64 th)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 th)) (.f64 #s(literal 1 binary64) (cos.f64 th))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 th)) (.f64 #s(literal 1 binary64) (cos.f64 th))))))
(neg.f64 (neg.f64 (cos.f64 th)))
(fma.f64 (sin.f64 (neg.f64 th)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 th)))
(fma.f64 #s(literal 0 binary64) (sin.f64 th) (*.f64 #s(literal 1 binary64) (cos.f64 th)))
(fma.f64 (sin.f64 th) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 th)))
(fma.f64 #s(literal 1 binary64) (cos.f64 th) (*.f64 #s(literal 0 binary64) (sin.f64 th)))
(fma.f64 (cos.f64 th) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 th)))
(sin.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) th))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) th) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) th)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) th) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) th))
(-.f64 (.f64 #s(literal 0 binary64) (sin.f64 th)) (.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 th) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) th) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) th) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) th)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) th) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (.f64 (sin.f64 (neg.f64 th)) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 th)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 th)) (.f64 #s(literal 0 binary64) (sin.f64 th)))
(+.f64 (.f64 #s(literal 0 binary64) (sin.f64 th)) (.f64 #s(literal 1 binary64) (cos.f64 th)))
(.f64 (/.f64 (.f64 (neg.f64 a2) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (neg.f64 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 (neg.f64 a2) (cos.f64 th)) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2))
(.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2)
(.f64 (neg.f64 (cos.f64 th)) (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (neg.f64 a2) (.f64 (neg.f64 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))

eval75.0ms (0.8%)

Memory: -2.1MiB live, 43.6MiB allocated
Compiler: Compiled 11 155 to 899 computations (91.9% saved)

prune12.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	290	13	303
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	291	13	304

Accuracy

100.0%

Counts

304 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (fma.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)))) #s(literal 2 binary64))
	99.7%	(/.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
	99.3%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
▶	99.3%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	99.3%	(.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	99.3%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
▶	52.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (*.f64 th th))))
	39.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
▶	64.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
▶	62.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	63.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	99.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 710 to 440 computations (38% saved)

simplify152.0ms (1.7%)

Memory

-11.3MiB live, 81.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 a2 a1)
cost-diff	0	(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	0	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (*.f64 th th))))
cost-diff	4	(.f64 (.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (*.f64 th th))
cost-diff	10	(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (*.f64 th th)))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)))) #s(literal 2 binary64))
cost-diff	2	(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)))
cost-diff	8	(fma.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	476
0	83	455
1	210	449
2	814	409
3	4098	403
0	8113	401

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize232.0ms (2.6%)

Memory

-14.8MiB live, 132.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.25390625	(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
accuracy	0.4296875	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	22.619400611650438	(.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(cos.f64 th)
accuracy	0.392991128216253	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.6796875	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
accuracy	3.2951217153596195	(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)))
accuracy	4.435878239423626	(.f64 (.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (*.f64 th th))
accuracy	12.59523462497339	(.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (*.f64 th th))
accuracy	24.467431424324005	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (*.f64 th th))))
accuracy	0.0	(*.f64 a1 a1)
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.21941376953688405	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	22.76629696919684	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.1328125	(*.f64 a1 (cos.f64 th))
accuracy	0.13671875	(*.f64 a2 (cos.f64 th))
accuracy	0.18654252930532603	(fma.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1))))
accuracy	0.24285126953688402	(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)))

Samples

175.0ms

256×

valid

Compiler

Compiled 431 to 49 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-neg: 41.0ms (36% of total)

ival-mult: 29.0ms (25.5% of total)

ival-cos: 20.0ms (17.6% of total)

ival-div: 7.0ms (6.1% of total)

ival-add: 7.0ms (6.1% of total)

const: 6.0ms (5.3% of total)

ival-sqrt: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series97.0ms (1.1%)

Memory

19.9MiB live, 65.8MiB allocated

Counts

26 → 125

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	th	@	0	((+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1))) (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* a2 (cos th)) (neg a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (+ (* -1/2 (* th th)) 1) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* -1/2 (* th th)) 1) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (cos th) a1) (/ a1 (sqrt 2)))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (* a2 (cos th)) (* a1 (cos th)) (sqrt 2) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (cos th) (/ a1 (sqrt 2)) (* (* (cos th) a1) (/ a1 (sqrt 2))))
10.0ms	a1	@	inf	((+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1))) (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* a2 (cos th)) (neg a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (+ (* -1/2 (* th th)) 1) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* -1/2 (* th th)) 1) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (cos th) a1) (/ a1 (sqrt 2)))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (* a2 (cos th)) (* a1 (cos th)) (sqrt 2) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (cos th) (/ a1 (sqrt 2)) (* (* (cos th) a1) (/ a1 (sqrt 2))))
8.0ms	a1	@	0	((+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1))) (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* a2 (cos th)) (neg a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (+ (* -1/2 (* th th)) 1) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* -1/2 (* th th)) 1) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (cos th) a1) (/ a1 (sqrt 2)))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (* a2 (cos th)) (* a1 (cos th)) (sqrt 2) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (cos th) (/ a1 (sqrt 2)) (* (* (cos th) a1) (/ a1 (sqrt 2))))
7.0ms	th	@	inf	((+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1))) (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* a2 (cos th)) (neg a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (+ (* -1/2 (* th th)) 1) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* -1/2 (* th th)) 1) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (cos th) a1) (/ a1 (sqrt 2)))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (* a2 (cos th)) (* a1 (cos th)) (sqrt 2) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (cos th) (/ a1 (sqrt 2)) (* (* (cos th) a1) (/ a1 (sqrt 2))))
7.0ms	a2	@	inf	((+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1))) (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* a2 (cos th)) (neg a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (+ (* -1/2 (* th th)) 1) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* -1/2 (* th th)) 1) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (cos th) a1) (/ a1 (sqrt 2)))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (* a2 (cos th)) (* a1 (cos th)) (sqrt 2) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (cos th) (/ a1 (sqrt 2)) (* (* (cos th) a1) (/ a1 (sqrt 2))))

simplify215.0ms (2.4%)

Memory

-21.5MiB live, 217.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	2996
1	1553	2756
2	7851	2709
0	8856	2469

Stop Event

1×	iter limit
1×	node limit

Counts

125 → 123

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

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

rewrite251.0ms (2.8%)

Memory

11.6MiB live, 245.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	386
0	83	374
1	313	353
2	2606	335
0	8325	334

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 708

Calls

Call 1

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

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

eval172.0ms (1.9%)

Memory: 12.5MiB live, 245.7MiB allocated
Compiler: Compiled 53 624 to 4 131 computations (92.3% saved)

prune44.0ms (0.5%)

Memory

11.0MiB live, 113.9MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1 063	21	1 084
Fresh	5	3	8
Picked	3	2	5
Done	0	0	0
Total	1 071	26	1 097

Accuracy

100.0%

Counts

1 097 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (fma.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #s(literal 2 binary64))
▶	99.6%	(/.f64 (fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 a1 (cos.f64 th)) a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	99.3%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	62.6%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	58.9%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
▶	63.3%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	64.2%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	99.3%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
▶	98.6%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	99.3%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))))
	98.7%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
	64.3%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
	52.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (.f64 th th))))
	64.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	30.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 th th) (.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
✓	64.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	53.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
	64.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
▶	39.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) #s(approx ( (* (cos th) a1) (/ a1 (sqrt 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))))
	53.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	63.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	99.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	42.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
	63.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
▶	17.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	22.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (cos th) a1) (/ a1 (sqrt 2)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) a1) a1) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) th) th) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 1 751 to 1 072 computations (38.8% saved)

simplify104.0ms (1.2%)

Memory

12.8MiB live, 150.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 a2 a2)
cost-diff	0	#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
cost-diff	0	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(/.f64 a2 a1)
cost-diff	0	(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) #s(approx ( (* (cos th) a1) (/ a1 (sqrt 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) #s(approx ( (* (cos th) a1) (/ a1 (sqrt 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))))
cost-diff	0	#s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	0	(cos.f64 th)
cost-diff	0	(*.f64 (cos.f64 th) a2)
cost-diff	0	(/.f64 (fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 a1 (cos.f64 th)) a1)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	3	(fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 a1 (cos.f64 th)) a1))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	386
0	76	372
1	161	369
2	432	366
3	1297	366
4	3692	366
5	7603	366
0	8012	366

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize130.0ms (1.4%)

Memory

-1.5MiB live, 190.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 th)
accuracy	0.392991128216253	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.40995105951741484	#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
accuracy	0.6796875	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.4296875	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	10.480955413520931	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	22.619400611650438	(.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) #s(approx ( (* (cos th) a1) (/ a1 (sqrt 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
accuracy	26.7804125992673	#s(approx (* (* (cos th) a1) (/ a1 (sqrt 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.392991128216253	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.6178512695368841	(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	32.662738713327116	#s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.109375	(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.4296875	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	22.76629696919684	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
accuracy	52.05551783875991	#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.05859375	(.f64 (.f64 a1 (cos.f64 th)) a1)
accuracy	0.1328125	(*.f64 a1 (cos.f64 th))
accuracy	0.13671875	(*.f64 (cos.f64 th) a2)
accuracy	0.22332001953688402	(/.f64 (fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 a1 (cos.f64 th)) a1)) (sqrt.f64 #s(literal 2 binary64)))

Samples

105.0ms

256×

valid

Compiler

Compiled 288 to 38 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 50.0ms (59.8% of total)

ival-div: 17.0ms (20.3% of total)

ival-cos: 8.0ms (9.6% of total)

ival-add: 5.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.6%)

Memory

-26.2MiB live, 71.8MiB allocated

Counts

26 → 74

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	th	@	inf	((+ (* (* (cos th) a2) a2) (* (* a1 (cos th)) a1)) (/ (+ (* (* (cos th) a2) a2) (* (* a1 (cos th)) a1)) (sqrt 2)) (* (cos th) a2) (cos th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (cos th) a1) (/ a1 (sqrt 2)))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (/ (cos th) (sqrt 2)) (* a1 (cos th)) (* (* a1 (cos th)) a1) (/ (+ (* -1/2 (* th th)) 1) (sqrt 2)) (sqrt 2) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (+ (* -1/2 (* th th)) 1) (* a1 (/ a1 (sqrt 2)))))
7.0ms	a1	@	inf	((+ (* (* (cos th) a2) a2) (* (* a1 (cos th)) a1)) (/ (+ (* (* (cos th) a2) a2) (* (* a1 (cos th)) a1)) (sqrt 2)) (* (cos th) a2) (cos th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (cos th) a1) (/ a1 (sqrt 2)))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (/ (cos th) (sqrt 2)) (* a1 (cos th)) (* (* a1 (cos th)) a1) (/ (+ (* -1/2 (* th th)) 1) (sqrt 2)) (sqrt 2) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (+ (* -1/2 (* th th)) 1) (* a1 (/ a1 (sqrt 2)))))
4.0ms	a1	@	0	((+ (* (* (cos th) a2) a2) (* (* a1 (cos th)) a1)) (/ (+ (* (* (cos th) a2) a2) (* (* a1 (cos th)) a1)) (sqrt 2)) (* (cos th) a2) (cos th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (cos th) a1) (/ a1 (sqrt 2)))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (/ (cos th) (sqrt 2)) (* a1 (cos th)) (* (* a1 (cos th)) a1) (/ (+ (* -1/2 (* th th)) 1) (sqrt 2)) (sqrt 2) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (+ (* -1/2 (* th th)) 1) (* a1 (/ a1 (sqrt 2)))))
4.0ms	a1	@	-inf	((+ (* (* (cos th) a2) a2) (* (* a1 (cos th)) a1)) (/ (+ (* (* (cos th) a2) a2) (* (* a1 (cos th)) a1)) (sqrt 2)) (* (cos th) a2) (cos th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (cos th) a1) (/ a1 (sqrt 2)))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (/ (cos th) (sqrt 2)) (* a1 (cos th)) (* (* a1 (cos th)) a1) (/ (+ (* -1/2 (* th th)) 1) (sqrt 2)) (sqrt 2) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (+ (* -1/2 (* th th)) 1) (* a1 (/ a1 (sqrt 2)))))
4.0ms	th	@	-inf	((+ (* (* (cos th) a2) a2) (* (* a1 (cos th)) a1)) (/ (+ (* (* (cos th) a2) a2) (* (* a1 (cos th)) a1)) (sqrt 2)) (* (cos th) a2) (cos th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (cos th) a1) (/ a1 (sqrt 2)))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (/ (cos th) (sqrt 2)) (* a1 (cos th)) (* (* a1 (cos th)) a1) (/ (+ (* -1/2 (* th th)) 1) (sqrt 2)) (sqrt 2) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (+ (* -1/2 (* th th)) 1) (* a1 (/ a1 (sqrt 2)))))

simplify196.0ms (2.2%)

Memory

11.2MiB live, 163.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1375
1	902	1302
2	3968	1240
0	8579	1128

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 72

Calls

Call 1

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

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

rewrite203.0ms (2.2%)

Memory

-29.3MiB live, 210.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	327
0	76	310
1	239	307
2	1730	307
0	8442	307

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 667

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 4 binary64)) (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (neg.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (.f64 (.f64 a2 (cos.f64 th)) a2))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)) (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (-.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (.f64 (*.f64 a2 (cos.f64 th)) a2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (.f64 (.f64 a1 (cos.f64 th)) a1))) (.f64 (-.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)) (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)) (-.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (.f64 (*.f64 a1 (cos.f64 th)) a1))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)) (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (-.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (.f64 (.f64 a2 (cos.f64 th)) a2)))) (.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)) (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (-.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (.f64 (.f64 a2 (cos.f64 th)) a2)))) (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)) (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (-.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (.f64 (.f64 a2 (cos.f64 th)) a2)))) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)) (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (-.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (.f64 (.f64 a2 (cos.f64 th)) a2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (.f64 (.f64 a2 (cos.f64 th)) a2)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 4 binary64)) (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (neg.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (.f64 (.f64 a1 (cos.f64 th)) a1))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) a1) (*.f64 a1 (cos.f64 th)))))))
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(.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a1))
(.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (neg.f64 (-.f64 (.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (neg.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a1) (neg.f64 a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (-.f64 (.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 a1 a1))) (neg.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 a1 a1))) (neg.f64 (.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 a1 a1) (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal -1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (-.f64 (.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a1) (neg.f64 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (-.f64 (.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (*.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 a1 a1)) (.f64 (-.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 a1 a1)) (.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 a1 a1) (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 #s(literal 1 binary64) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
(fma.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64) (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (*.f64 th th) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
(+.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (.f64 th th) #s(literal -1/2 binary64))))

eval179.0ms (2%)

Memory: 17.2MiB live, 202.1MiB allocated
Compiler: Compiled 32 892 to 2 928 computations (91.1% saved)

prune55.0ms (0.6%)

Memory

-6.5MiB live, 88.4MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	851	8	859
Fresh	4	15	19
Picked	3	2	5
Done	0	2	2
Total	858	27	885

Accuracy

100.0%

Counts

885 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (fma.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #s(literal 2 binary64))
	98.7%	(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	99.0%	(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* a1 (cos th)) a1)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	99.3%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	63.3%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
	64.2%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	99.3%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓	98.6%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	62.3%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	58.6%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
▶	63.0%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
▶	99.3%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))))
	98.7%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
	64.3%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
▶	52.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (.f64 th th))))
	64.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	30.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 th th) (.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
✓	64.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
▶	53.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
	64.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	63.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	99.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	16.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx (+ ( (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64)) #s(approx (* (* (cos th) a1) (/ a1 (sqrt 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))))
	17.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	42.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
▶	63.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
✓	17.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 1 695 to 1 057 computations (37.6% saved)

simplify278.0ms (3.1%)

Memory

28.6MiB live, 172.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (.f64 th th))))
cost-diff	3	(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (.f64 th th)))
cost-diff	4	(.f64 (.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (.f64 th th))
cost-diff	0	(.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)
cost-diff	0	#s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1))
cost-diff	0	(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 a2 a2)
cost-diff	0	#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
cost-diff	0	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (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	#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))
cost-diff	0	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	593
0	104	571
1	245	568
2	886	551
3	3994	545
0	8098	543

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize255.0ms (2.8%)

Memory

-19.2MiB live, 275.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.2951217153596195	(.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)))
accuracy	4.435878239423626	(.f64 (.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (.f64 th th))
accuracy	12.59523462497339	(.f64 (.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (*.f64 th th))
accuracy	24.467431424324005	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (.f64 th th))))
accuracy	0.25390625	(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
accuracy	5.6565081962195745	(*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1)
accuracy	5.831437616042773	(.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)
accuracy	22.76629696919684	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.392991128216253	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.40995105951741484	#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
accuracy	0.6796875	(/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	32.66473950873784	#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.1171875	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.4136332050838591	#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.48046875	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	22.76629696919684	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
accuracy	0.0	(cos.f64 th)
accuracy	0.0	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))))
accuracy	0.265625	(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
accuracy	0.392991128216253	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))

Samples

215.0ms

256×

valid

Compiler

Compiled 437 to 56 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 69.0ms (36.4% of total)

ival-div: 51.0ms (26.9% of total)

ival-add: 40.0ms (21.1% of total)

ival-cos: 18.0ms (9.5% of total)

const: 6.0ms (3.2% of total)

ival-neg: 3.0ms (1.6% of total)

ival-sqrt: 2.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (0.8%)

Memory

-10.7MiB live, 83.3MiB allocated

Counts

26 → 105

Calls

Call 1

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

Outputs
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (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 a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(/ (* (pow a2 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2))
(+ (/ (* (pow a1 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)) (/ (* (pow a2 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)))
(+ (/ (* (pow a2 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))))) (+ (/ (* (pow a2 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))))
(/ (pow a2 2) a1)
(/ (+ (pow a1 2) (pow a2 2)) a1)
(/ (pow a2 2) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/ (* (pow a2 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2))
(+ (/ (* (pow a1 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)) (/ (* (pow a2 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)))
(/ (* (pow a2 2) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))
(+ (* (pow a1 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (/ (* (pow a2 2) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2)))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 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) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(/ (* (pow a1 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2))
(* (pow a1 2) (+ (/ (* (pow a2 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))))
(* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2)))))
(* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow a1 2) (sqrt 2))) (+ (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2)))))))
a1
(* a1 (+ 1 (/ (pow a2 2) (pow a1 2))))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(/ (* (pow a1 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2))
(* (pow a1 2) (+ (/ (* (pow a2 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))))
(/ (* (pow a1 2) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))
(* (pow a1 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (+ (* 1/24 (/ 1 (sqrt 2))) (/ (* (pow a2 2) (+ 1/24 (* -1/720 (pow th 2)))) (* (pow a1 2) (sqrt 2))))))
(* -1 (* a1 (- (* -1 (/ (pow a2 2) (pow a1 2))) 1)))
(/ a2 (sqrt 2))
(+ (/ (* (pow a1 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2)))
(+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))))) (+ (/ (* (pow a1 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))))
(+ a1 (/ (pow a2 2) a1))
(+ (* (pow a2 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (/ (* (pow a1 2) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2)))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (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 2) (pow a2 2))))
(* (pow a2 2) (+ (/ (* (pow a1 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))))
(* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2)))))
(* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow a2 2) (sqrt 2))) (+ (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2)))))))
(* (pow a2 2) (+ (/ 1 a1) (/ a1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ (* (pow a1 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))))
(* (pow a2 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (+ (* 1/24 (/ 1 (sqrt 2))) (/ (* (pow a1 2) (+ 1/24 (* -1/720 (pow th 2)))) (* (pow a2 2) (sqrt 2))))))
(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(* 1/2 (sqrt 2))
(+ (* -1/4 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2)))
(+ (* 1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/48 (* (pow th 2) (sqrt 2))))))
(+ (* 1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (sqrt 2))) (* 1/48 (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) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ 1 (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)))
(* 1/24 (/ (* (pow th 4) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))
(* (pow th 4) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))))
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(* 1/24 (/ (* (pow th 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)))))
(* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))
(+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (cos th) (sqrt 2)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (cos th) (sqrt 2))
(* -1/720 (/ (* (pow th 6) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))
(* (pow th 6) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))))
(* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))))))
(* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))) (+ (/ (pow a1 2) (* (pow th 6) (sqrt 2))) (/ (pow a2 2) (* (pow th 6) (sqrt 2))))))))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(cos th)
(* -1/720 (/ (* (pow th 4) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))
(* (pow th 4) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))))
(* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))
(* (pow th 2) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))))

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	a2	@	0	((/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* (* 1/2 (sqrt 2)) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (* 1/2 (sqrt 2)) (cos th)) (* 1/2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) a1) a1) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th)) (+ (* (+ (* -1/2 (* th th)) 1) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* -1/2 (* th th)) 1) (cos th) (cos th) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) a1) (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)))
10.0ms	th	@	-inf	((/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* (* 1/2 (sqrt 2)) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (* 1/2 (sqrt 2)) (cos th)) (* 1/2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) a1) a1) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th)) (+ (* (+ (* -1/2 (* th th)) 1) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* -1/2 (* th th)) 1) (cos th) (cos th) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) a1) (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)))
5.0ms	a2	@	inf	((/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* (* 1/2 (sqrt 2)) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (* 1/2 (sqrt 2)) (cos th)) (* 1/2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) a1) a1) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th)) (+ (* (+ (* -1/2 (* th th)) 1) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* -1/2 (* th th)) 1) (cos th) (cos th) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) a1) (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)))
5.0ms	a2	@	-inf	((/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* (* 1/2 (sqrt 2)) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (* 1/2 (sqrt 2)) (cos th)) (* 1/2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) a1) a1) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th)) (+ (* (+ (* -1/2 (* th th)) 1) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* -1/2 (* th th)) 1) (cos th) (cos th) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) a1) (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)))
5.0ms	th	@	inf	((/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* (* 1/2 (sqrt 2)) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (* 1/2 (sqrt 2)) (cos th)) (* 1/2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) a1) a1) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th)) (+ (* (+ (* -1/2 (* th th)) 1) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* th th))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* -1/2 (* th th)) 1) (cos th) (cos th) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) a1) (+ (* (/ a2 a1) (/ a2 a1)) 1) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)) (* th th)) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* -1/720 (* th th)) 1/24)))

simplify180.0ms (2%)

Memory

45.7MiB live, 233.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	2456
1	1274	2171
2	6527	2127
0	8176	1931

Stop Event

1×	iter limit
1×	node limit

Counts

105 → 104

Calls

Call 1

Inputs
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (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 a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(/ (* (pow a2 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2))
(+ (/ (* (pow a1 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)) (/ (* (pow a2 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)))
(+ (/ (* (pow a2 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))))) (+ (/ (* (pow a2 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))))
(/ (pow a2 2) a1)
(/ (+ (pow a1 2) (pow a2 2)) a1)
(/ (pow a2 2) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/ (* (pow a2 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2))
(+ (/ (* (pow a1 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)) (/ (* (pow a2 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)))
(/ (* (pow a2 2) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))
(+ (* (pow a1 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (/ (* (pow a2 2) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2)))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 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) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(/ (* (pow a1 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2))
(* (pow a1 2) (+ (/ (* (pow a2 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))))
(* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2)))))
(* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow a1 2) (sqrt 2))) (+ (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2)))))))
a1
(* a1 (+ 1 (/ (pow a2 2) (pow a1 2))))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(/ (* (pow a1 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2))
(* (pow a1 2) (+ (/ (* (pow a2 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow a1 2) (sqrt 2))) (/ (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))))
(/ (* (pow a1 2) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))
(* (pow a1 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (+ (* 1/24 (/ 1 (sqrt 2))) (/ (* (pow a2 2) (+ 1/24 (* -1/720 (pow th 2)))) (* (pow a1 2) (sqrt 2))))))
(* -1 (* a1 (- (* -1 (/ (pow a2 2) (pow a1 2))) 1)))
(/ a2 (sqrt 2))
(+ (/ (* (pow a1 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2)))
(+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))))) (+ (/ (* (pow a1 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (sqrt 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))))
(+ a1 (/ (pow a2 2) a1))
(+ (* (pow a2 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (/ (* (pow a1 2) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2)))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (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 2) (pow a2 2))))
(* (pow a2 2) (+ (/ (* (pow a1 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))))
(* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2)))))
(* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 2) (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow a2 2) (sqrt 2))) (+ (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 4) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2)))))))
(* (pow a2 2) (+ (/ 1 a1) (/ a1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ (* (pow a1 2) (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))) (* (pow a2 2) (sqrt 2))) (/ (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) (sqrt 2))))
(* (pow a2 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (+ (* 1/24 (/ 1 (sqrt 2))) (/ (* (pow a1 2) (+ 1/24 (* -1/720 (pow th 2)))) (* (pow a2 2) (sqrt 2))))))
(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(* 1/2 (sqrt 2))
(+ (* -1/4 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2)))
(+ (* 1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/48 (* (pow th 2) (sqrt 2))))))
(+ (* 1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (sqrt 2))) (* 1/48 (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) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ 1 (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)))
(* 1/24 (/ (* (pow th 4) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))
(* (pow th 4) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))))
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(* 1/24 (/ (* (pow th 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)))))
(* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))
(+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (cos th) (sqrt 2)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (cos th) (sqrt 2))
(* -1/720 (/ (* (pow th 6) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))
(* (pow th 6) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))))
(* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))))))
(* (pow th 6) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))) (+ (/ (pow a1 2) (* (pow th 6) (sqrt 2))) (/ (pow a2 2) (* (pow th 6) (sqrt 2))))))))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(cos th)
(* -1/720 (/ (* (pow th 4) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))
(* (pow th 4) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))))
(* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))
(* (pow th 2) (+ (* -1/720 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))))

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

rewrite336.0ms (3.7%)

Memory

-21.0MiB live, 344.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	485
0	104	457
1	374	442
2	2944	433
0	8246	433

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 357

Calls

Call 1

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

Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 th))
(.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(/.f64 (.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
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(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
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#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
(*.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (neg.f64 (neg.f64 a2))))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 a2 a2)
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(pow.f64 (neg.f64 (neg.f64 a2)) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64))
(pow.f64 (neg.f64 a2) #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a2) a2))
(sqrt.f64 (pow.f64 a2 #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 a2) a2))
(fabs.f64 (*.f64 a2 a2))
(exp.f64 (*.f64 (log.f64 (neg.f64 a2)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a2) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a2) #s(literal 2 binary64))))
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(.f64 (.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 a1)) (neg.f64 a1))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) a1) a1)
(.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 a1 a1))
(.f64 (.f64 a1 a1) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 a1 (.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) a1))
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(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 a1 a1)) (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))
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(.f64 (pow.f64 th #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 th #s(literal 3 binary64))) th)
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(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 th #s(literal 4 binary64))))
(.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) th) th) (.f64 th th)))
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(+.f64 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 (neg.f64 (.f64 th th)) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 th th)))
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(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 th)) (neg.f64 th) #s(literal 1 binary64))
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(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 th (.f64 (.f64 #s(literal -1/2 binary64) th) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 th (*.f64 #s(literal -1/2 binary64) th) #s(literal 1 binary64))
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(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) th)) th))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 th th)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 th) (.f64 #s(literal -1/2 binary64) th)))
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(fma.f64 (sin.f64 (neg.f64 th)) #s(literal 0 binary64) (*.f64 (cos.f64 th) #s(literal 1 binary64)))
(fma.f64 (sin.f64 th) #s(literal 0 binary64) (*.f64 (cos.f64 th) #s(literal 1 binary64)))
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(sin.f64 (+.f64 (neg.f64 (neg.f64 th)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) th))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 th))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
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(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 th)) (.f64 #s(literal 0 binary64) (sin.f64 th)))
(+.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (.f64 (cos.f64 th) #s(literal 1 binary64)))
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(*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) a1)
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(fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) a1 (*.f64 #s(literal 1 binary64) a1))
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(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (neg.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) #s(literal 1/24 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (.f64 #s(literal -1/720 binary64) (.f64 th th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2))) #s(literal 1/24 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (.f64 #s(literal -1/720 binary64) (.f64 th th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (neg.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (.f64 #s(literal -1/720 binary64) (.f64 th th))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (.f64 #s(literal -1/720 binary64) (.f64 th th))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) #s(literal 1/24 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64))) #s(literal 1/576 binary64)) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 th th)) #s(literal 1/24 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 th th) #s(literal -1/17280 binary64)))))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64))) #s(literal 1/576 binary64))) (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) #s(literal 1/24 binary64)))
(/.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 th th) #s(literal -1/17280 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2))) (.f64 #s(literal 1/24 binary64) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) #s(literal 3 binary64)) #s(literal -1/373248000 binary64) (.f64 (pow.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/13824 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64))) #s(literal 1/576 binary64)) (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)))) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) #s(literal 1/24 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64))) #s(literal 1/576 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2))) (.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (neg.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)))) (.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) #s(literal -1/17280 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)) #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2))) (.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) #s(literal -1/17280 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2))) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64))) #s(literal 1/576 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 th th)) #s(literal 1/24 binary64))))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) #s(literal -1/17280 binary64))))))
(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64))) #s(literal 1/576 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) (*.f64 th th)) #s(literal 1/24 binary64))))
(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) #s(literal -1/17280 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/720 binary64) th)) th (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64)) (.f64 th th) (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal -1/720 binary64) th) (.f64 th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 th th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/720 binary64) (.f64 th th)) (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 th th) (.f64 #s(literal -1/720 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal -1/24 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))

eval110.0ms (1.2%)

Memory: 11.9MiB live, 110.2MiB allocated
Compiler: Compiled 30 775 to 2 357 computations (92.3% saved)

prune66.0ms (0.7%)

Memory

14.6MiB live, 97.7MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	479	13	492
Fresh	8	10	18
Picked	3	2	5
Done	0	4	4
Total	490	29	519

Accuracy

100.0%

Counts

519 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	63.1%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	99.0%	(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* a1 (cos th)) a1)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	99.3%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	53.9%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 a2 a2) a1) a1) a1 a1) a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
✓	98.6%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	62.3%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	58.6%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
✓	63.0%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	63.9%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	16.2%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	99.3%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 th)))
	98.7%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 (.f64 a2 a2) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
	62.7%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (.f64 a2 a2))))
	64.3%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	63.4%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 #s(approx ( (* 1/2 (sqrt 2)) (cos th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))))
	64.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
✓	64.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	41.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
	53.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (/.f64 (/.f64 (*.f64 a2 a2) a1) a1)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
	60.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 #s(approx ( (+ (* (/ a2 a1) (/ a2 a1)) 1) a1) (fma.f64 a2 (/.f64 a2 a1) a1)) a1)) (sqrt.f64 #s(literal 2 binary64))))
	52.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 #s(approx ( (+ (* (/ a2 a1) (/ a2 a1)) 1) a1) (.f64 (+.f64 (/.f64 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) a1)) (*.f64 a2 a2))) a1)) (sqrt.f64 #s(literal 2 binary64))))
	64.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	99.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	16.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx (+ ( (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64)) #s(approx (* (* (cos th) a1) (/ a1 (sqrt 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))))
	17.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	42.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
✓	63.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
✓	17.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 2 967 to 931 computations (68.6% saved)

regimes793.0ms (8.8%)

Memory

-129.7MiB live, 296.6MiB allocated

Counts

56 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

572.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
60.0ms	a1
39.0ms	a2
38.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
38.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes217.0ms (2.4%)

Memory

-23.8MiB live, 268.5MiB allocated

Counts

55 → 1

Calls

Call 1

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

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

Calls

8 calls:

65.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
32.0ms	(*.f64 a2 a2)
28.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
25.0ms	(*.f64 a1 a1)
19.0ms	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 35 to 40 computations (-14.3% saved)

regimes125.0ms (1.4%)

Memory

3.8MiB live, 237.0MiB allocated

Counts

52 → 1

Calls

Call 1

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

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

Calls

8 calls:

18.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
17.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
16.0ms	a1
16.0ms	a2
14.0ms	th

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes124.0ms (1.4%)

Memory

30.3MiB live, 267.3MiB allocated

Counts

51 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

18.0ms	a1
17.0ms	th
15.0ms	(*.f64 a1 a1)
15.0ms	(cos.f64 th)
14.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes188.0ms (2.1%)

Memory

-19.7MiB live, 217.1MiB allocated

Counts

43 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

94.0ms	a2
19.0ms	a1
13.0ms	(*.f64 a2 a2)
13.0ms	(cos.f64 th)
12.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes98.0ms (1.1%)

Memory

14.2MiB live, 203.2MiB allocated

Counts

42 → 1

Calls

Call 1

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

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

Calls

8 calls:

13.0ms	(cos.f64 th)
13.0ms	a2
12.0ms	a1
12.0ms	th
12.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Results

Accuracy	Segments	Branch
99.0%	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)))`
99.0%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.0%	1	`(cos.f64 th)`
99.0%	1	`a1`
99.0%	1	`a2`
99.0%	1	`th`
99.0%	1	`(*.f64 a1 a1)`
99.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes92.0ms (1%)

Memory

-4.8MiB live, 183.7MiB allocated

Counts

38 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

14.0ms	a1
13.0ms	th
11.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
11.0ms	(*.f64 a2 a2)
11.0ms	a2

Results

Accuracy	Segments	Branch
98.7%	1	`a1`
98.7%	1	`a2`
98.7%	1	`th`
98.7%	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)))`
98.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.7%	1	`(cos.f64 th)`
98.7%	1	`(*.f64 a1 a1)`
98.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes92.0ms (1%)

Memory

15.0MiB live, 155.5MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

15.0ms	th
13.0ms	(cos.f64 th)
13.0ms	(*.f64 a1 a1)
10.0ms	a2
10.0ms	a1

Results

Accuracy	Segments	Branch
78.1%	2	`(+.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)))`
68.7%	3	`th`
76.4%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
76.4%	2	`(cos.f64 th)`
68.4%	3	`a1`
68.3%	2	`a2`
67.7%	3	`(*.f64 a1 a1)`
68.3%	2	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes4.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
78.1%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes30.0ms (0.3%)

Memory

9.6MiB live, 55.2MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

6.0ms	(cos.f64 th)
3.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
3.0ms	a1
3.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
3.0ms	th

Results

Accuracy	Segments	Branch
64.3%	1	`(*.f64 a1 a1)`
64.3%	1	`a1`
64.3%	1	`th`
64.3%	1	`(*.f64 a2 a2)`
64.3%	1	`a2`
64.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
64.3%	1	`(cos.f64 th)`
64.3%	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)))`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes19.0ms (0.2%)

Memory

-9.3MiB live, 36.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

5.0ms	a2
2.0ms	a1
2.0ms	th
2.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Results

Accuracy	Segments	Branch
64.0%	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)))`
64.0%	1	`a1`
64.0%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
64.0%	1	`(cos.f64 th)`
64.0%	1	`(*.f64 a1 a1)`
64.0%	1	`th`
64.0%	1	`a2`
64.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes16.0ms (0.2%)

Memory

-12.1MiB live, 33.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

8 calls:

2.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms	a2
2.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
2.0ms	th
2.0ms	a1

Results

Accuracy	Segments	Branch
63.9%	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)))`
63.9%	1	`a1`
63.9%	1	`(*.f64 a1 a1)`
63.9%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
63.9%	1	`(cos.f64 th)`
63.9%	1	`a2`
63.9%	1	`(*.f64 a2 a2)`
63.9%	1	`th`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

1.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
1.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
1.0ms	a2
1.0ms	a1
1.0ms	th

Results

Accuracy	Segments	Branch
17.4%	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)))`
17.4%	1	`a1`
17.4%	1	`(*.f64 a1 a1)`
17.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
17.4%	1	`(cos.f64 th)`
17.4%	1	`a2`
17.4%	1	`th`
17.4%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.396188023618093e-274	-2.533718237735085e-284

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.396188023618093e-274	-2.533718237735085e-284

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify78.0ms (0.9%)

Memory

-28.3MiB live, 70.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	511
1	188	490
2	488	446
3	1396	446
4	3354	446
5	5178	446
6	7643	446

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (fma.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 a1 (cos.f64 th)) a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 th)))
#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(if (<=.f64 (+.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 -152270531428125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 binary64)) (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(if (<=.f64 (+.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 -152270531428125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 binary64)) #s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 #s(approx ( (* 1/2 (sqrt 2)) (cos th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)))) (fma.f64 a1 a1 (.f64 a2 a2)))) #s(approx (/ (+ ( (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))

Outputs
(/.f64 (fma.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a1 (cos.f64 th)) a1))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 a1 (cos.f64 th)) a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 th)))
#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(if (<=.f64 (+.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 -152270531428125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 binary64)) (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(if (<=.f64 (+.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 -152270531428125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 binary64)) #s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 #s(approx ( (* 1/2 (sqrt 2)) (cos th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)))) (fma.f64 a1 a1 (.f64 a2 a2)))) #s(approx (/ (+ ( (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))

soundness1.3s (14.9%)

Memory

33.3MiB live, 1 551.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	386
0	83	374
1	313	353
2	2606	335
0	8325	334
0	12	44
0	20	38
1	72	38
2	505	38
3	7079	38
0	8822	37
0	66	485
0	104	457
1	374	442
2	2944	433
0	8246	433
0	317	2456
1	1274	2171
2	6527	2127
0	8176	1931
0	111	543
1	388	508
2	1688	439
3	5754	424
0	8567	387
0	387	2996
1	1553	2756
2	7851	2709
0	8856	2469
0	242	1375
1	902	1302
2	3968	1240
0	8579	1128

Stop Event

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

Compiler

Compiled 977 to 424 computations (56.6% saved)

preprocess95.0ms (1.1%)

Memory

-18.4MiB live, 219.2MiB allocated

Remove

(abs a1)

(abs a2)

(abs th)

Compiler

Compiled 1 558 to 524 computations (66.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze11.0ms (0.1%)

sample1.2s (13%)

explain168.0ms (1.9%)

preprocess214.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify160.0ms (1.8%)

localize32.0ms (0.4%)

series39.0ms (0.4%)

simplify196.0ms (2.2%)

rewrite234.0ms (2.6%)

eval75.0ms (0.8%)

prune12.0ms (0.1%)

simplify152.0ms (1.7%)

localize232.0ms (2.6%)

series97.0ms (1.1%)

simplify215.0ms (2.4%)

rewrite251.0ms (2.8%)

eval172.0ms (1.9%)

prune44.0ms (0.5%)

simplify104.0ms (1.2%)

localize130.0ms (1.4%)

series52.0ms (0.6%)

simplify196.0ms (2.2%)

rewrite203.0ms (2.2%)

eval179.0ms (2%)

prune55.0ms (0.6%)

simplify278.0ms (3.1%)

localize255.0ms (2.8%)

series69.0ms (0.8%)

simplify180.0ms (2%)

rewrite336.0ms (3.7%)

eval110.0ms (1.2%)

prune66.0ms (0.7%)

regimes793.0ms (8.8%)

regimes217.0ms (2.4%)

regimes125.0ms (1.4%)

regimes124.0ms (1.4%)

regimes188.0ms (2.1%)

regimes98.0ms (1.1%)

regimes92.0ms (1%)

regimes92.0ms (1%)

regimes4.0ms (0%)

regimes30.0ms (0.3%)

regimes19.0ms (0.2%)

regimes16.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify78.0ms (0.9%)

soundness1.3s (14.9%)

preprocess95.0ms (1.1%)

end0.0ms (0%)

Profiling