Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

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)

sample1.5s (16.5%)

Memory

26.9MiB live, 1 304.8MiB allocated; 194ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 825.0ms

ival-cos: 324.0ms (39.3% of total)

ival-mult: 311.0ms (37.7% of total)

ival-sqrt: 75.0ms (9.1% of total)

ival-div: 62.0ms (7.5% of total)

ival-add: 35.0ms (4.2% of total)

ival-true: 6.0ms (0.7% of total)

exact: 6.0ms (0.7% of total)

adjust: 3.0ms (0.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain162.0ms (1.8%)

Memory

28.7MiB live, 225.1MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

54.0ms

512×

valid

Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 15.0ms (42.7% of total)

ival-cos: 11.0ms (31.3% of total)

ival-sqrt: 4.0ms (11.4% of total)

ival-div: 3.0ms (8.5% of total)

ival-add: 2.0ms (5.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess266.0ms (3%)

Memory

-22.4MiB live, 215.1MiB allocated; 15ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify174.0ms (1.9%)

Memory

-11.4MiB live, 136.9MiB allocated; 18ms collecting garbage

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

localize70.0ms (0.8%)

Memory

-0.3MiB live, 46.2MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
accuracy	0.193691259768442	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
accuracy	0.22884750976844204	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.70703125	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

62.0ms

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 (37.4% of total)

ival-mult: 5.0ms (31.2% of total)

ival-sqrt: 2.0ms (12.5% of total)

ival-div: 1.0ms (6.2% of total)

ival-add: 1.0ms (6.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

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
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)))
2.0ms	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)))
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)))

simplify200.0ms (2.2%)

Memory

2.7MiB live, 191.7MiB allocated; 21ms collecting garbage

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)

rewrite225.0ms (2.5%)

Memory

-4.8MiB live, 282.4MiB allocated; 37ms collecting garbage

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)))))

eval44.0ms (0.5%)

Memory: -11.7MiB live, 80.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 11 155 to 899 computations (91.9% saved)

prune66.0ms (0.7%)

Memory

-10.7MiB live, 46.1MiB allocated; 7ms collecting garbage

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))
	99.6%	(/.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))
	99.6%	(/.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)))
▶	99.6%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(.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))))))
	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	36.1%	#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)))))
▶	63.7%	#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))))
▶	58.3%	#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))))))
	99.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.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))))))
	67.3%	#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)))))
▶	99.4%	#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 662 to 426 computations (35.6% saved)

simplify213.0ms (2.4%)

Memory

34.1MiB live, 224.1MiB allocated; 15ms collecting garbage

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 a1 a1)
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
cost-diff	0	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(cos.f64 th)
cost-diff	0	(*.f64 (cos.f64 th) a2)
cost-diff	0	(.f64 (.f64 (cos.f64 th) 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))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (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)) (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: 2 (0.0ms)

Iter	Nodes	Cost
0	42	330
0	69	309
1	165	303
2	505	287
3	1756	287
4	5083	287
0	8137	287

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

localize164.0ms (1.8%)

Memory

-18.6MiB live, 171.8MiB allocated; 11ms collecting garbage

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	0.221035009768442	(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
accuracy	0.44921875	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	25.235465915236112	(.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	0.08984375	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
accuracy	0.232753759768442	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.09414449023925625	#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)))))
accuracy	0.14453125	(*.f64 (cos.f64 th) a2)
accuracy	0.18359375	(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.4375	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.0	(*.f64 a1 a1)
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.2265625	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	23.126842001556525	#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	0.14453125	(*.f64 a2 (cos.f64 th))
accuracy	0.23113251953688402	(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	0.25228500976844204	(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)))

Samples

96.0ms

256×

valid

Compiler

Compiled 302 to 40 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 37.0ms (49.8% of total)

ival-mult: 23.0ms (30.9% of total)

ival-cos: 6.0ms (8.1% of total)

ival-add: 4.0ms (5.4% of total)

ival-neg: 3.0ms (4% of total)

ival-sqrt: 2.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series88.0ms (1%)

Memory

-8.1MiB live, 85.3MiB allocated; 8ms collecting garbage

Counts

24 → 93

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

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	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) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* (/ (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 (sqrt 2)) (/ a1 (sqrt 2)) (* (* (cos th) a1) (/ a1 (sqrt 2))))
18.0ms	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) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* (/ (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 (sqrt 2)) (/ a1 (sqrt 2)) (* (* (cos th) a1) (/ a1 (sqrt 2))))
7.0ms	a2	@	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) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* (/ (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 (sqrt 2)) (/ a1 (sqrt 2)) (* (* (cos th) a1) (/ a1 (sqrt 2))))
5.0ms	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) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* (/ (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 (sqrt 2)) (/ a1 (sqrt 2)) (* (* (cos th) a1) (/ a1 (sqrt 2))))
5.0ms	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) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* (/ (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 (sqrt 2)) (/ a1 (sqrt 2)) (* (* (cos th) a1) (/ a1 (sqrt 2))))

simplify227.0ms (2.5%)

Memory

5.4MiB live, 238.6MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	1921
1	1219	1763
2	5921	1736
0	8075	1597

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 91

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

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

rewrite334.0ms (3.7%)

Memory

-1.1MiB live, 372.6MiB allocated; 109ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	270
0	69	258
1	234	249
2	1698	231
0	8813	230

Stop Event

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

Counts

24 → 957

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

Outputs
(.f64 (/.f64 (.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)))) (neg.f64 (sqrt.f64 #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 (.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 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))))
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(fma.f64 (/.f64 a2 (neg.f64 (neg.f64 a1))) (/.f64 a2 (neg.f64 (neg.f64 a1))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 (/.f64 a2 a1))) (exp.f64 (log.f64 (/.f64 a2 a1))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 a2 a1) a2) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a1))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 a2 a1) a2) (/.f64 #s(literal 1 binary64) a1) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 a2) a1) (*.f64 (/.f64 (neg.f64 a2) a1) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 a2) a1) (/.f64 (neg.f64 a2) a1) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 a2 a1) (fabs.f64 (*.f64 (/.f64 (neg.f64 a2) a1) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(fma.f64 (neg.f64 a2) (/.f64 a2 (*.f64 (neg.f64 a1) a1)) #s(literal 1 binary64))
(fma.f64 a2 (fabs.f64 (/.f64 (/.f64 a2 a1) a1)) #s(literal 1 binary64))
(fma.f64 a2 (/.f64 (/.f64 a2 a1) a1) #s(literal 1 binary64))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 a2) a1) (/.f64 a2 a1)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 a1) (/.f64 (neg.f64 a2) a1)))
(+.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))))
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 (neg.f64 a2) a1)) (sqrt.f64 (.f64 (/.f64 (neg.f64 a2) a1) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 a2) a1)) (sqrt.f64 (/.f64 (neg.f64 a2) a1)))
(*.f64 (sqrt.f64 (/.f64 a2 a1)) (sqrt.f64 (/.f64 a2 a1)))
(.f64 (sqrt.f64 (neg.f64 a2)) (sqrt.f64 (/.f64 a2 (.f64 (neg.f64 a1) a1))))
(*.f64 (sqrt.f64 a2) (sqrt.f64 (/.f64 (/.f64 a2 a1) a1)))
(.f64 (sqrt.f64 a2) (sqrt.f64 (/.f64 a2 (.f64 a1 a1))))
(*.f64 #s(literal 1 binary64) (/.f64 a2 a1))
(*.f64 (/.f64 a2 a1) #s(literal 1 binary64))
(pow.f64 (/.f64 (neg.f64 a2) a1) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 a2 a1) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (neg.f64 (neg.f64 a1))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1)) (sqrt.f64 (neg.f64 a1)))
(/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 1 binary64))) (sqrt.f64 a1))
(/.f64 (sqrt.f64 (.f64 (.f64 a2 a2) #s(literal 1 binary64))) a1)
(/.f64 (sqrt.f64 (*.f64 (neg.f64 a2) (/.f64 a2 a1))) (sqrt.f64 (neg.f64 a1)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 a2 a1) (neg.f64 a2))) (sqrt.f64 (neg.f64 a1)))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 a2 a1) a2))) (sqrt.f64 (neg.f64 a1)))
(/.f64 (sqrt.f64 (.f64 (neg.f64 a2) a2)) (sqrt.f64 (.f64 (neg.f64 a1) a1)))
(/.f64 (sqrt.f64 (.f64 a2 (neg.f64 a2))) (sqrt.f64 (.f64 (neg.f64 a1) a1)))
(/.f64 (sqrt.f64 (neg.f64 (.f64 a2 a2))) (sqrt.f64 (.f64 (neg.f64 a1) a1)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 a2 a1) a2)) (sqrt.f64 a1))
(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a1)))
(/.f64 (neg.f64 a2) (neg.f64 a1))
(/.f64 a2 a1)
(neg.f64 (/.f64 (neg.f64 a2) a1))
(sqrt.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (neg.f64 a2) a1))
(fabs.f64 (/.f64 a2 a1))
(exp.f64 (/.f64 (log.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 a1)) #s(literal 1 binary64)))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 (cos.f64 th) a1)
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (*.f64 a2 a2) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a1))) (neg.f64 (sqrt.f64 #s(literal 2 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 (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 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 a1 (cos.f64 th)) (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 (/.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 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(.f64 (neg.f64 a1) (.f64 (neg.f64 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 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 (neg.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.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 (neg.f64 (.f64 (.f64 (neg.f64 a1) a1) (cos.f64 th))) (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))))

eval209.0ms (2.3%)

Memory: -7.9MiB live, 241.8MiB allocated; 67ms collecting garbage
Compiler: Compiled 42 350 to 3 626 computations (91.4% saved)

prune46.0ms (0.5%)

Memory

34.2MiB live, 83.1MiB allocated; 1ms collecting garbage

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 063	19	1 082
Fresh	8	0	8
Picked	3	2	5
Done	0	0	0
Total	1 074	21	1 095

Accuracy

100.0%

Counts

1 095 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.3%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.6%	(/.f64 (.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)))) #s(literal 2 binary64))
	99.5%	(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	36.1%	(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	99.4%	#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))))
	63.7%	#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) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
▶	63.5%	#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)))))
✓	63.7%	#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))))
	49.6%	#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))))
	63.5%	#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))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2)))
	99.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
✓	99.4%	#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)))))
	58.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.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))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
▶	66.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	37.8%	#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)))))))
▶	63.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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))))
	63.5%	#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))))))
▶	11.9%	#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))))))
	29.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) a2) a2) (.f64 th th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 1 384 to 837 computations (39.5% saved)

simplify138.0ms (1.5%)

Memory

6.2MiB live, 98.9MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#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)))))
cost-diff	3	(/.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))))
cost-diff	4	(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)))
cost-diff	5	(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
cost-diff	0	#s(approx (/ (+ (* a2 a2) (* a1 a1)) (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)))
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 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
cost-diff	0	#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) a2)
cost-diff	0	(.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) 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))) (.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (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	(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	2	(.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))))
cost-diff	2	(/.f64 (.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)))) #s(literal 2 binary64))
cost-diff	4	(fma.f64 (.f64 (neg.f64 a2) a2) (cos.f64 th) (.f64 (*.f64 (neg.f64 a1) a1) (cos.f64 th)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	466
0	83	436
1	199	409
2	678	405
3	2379	397
4	6652	397
0	8152	383

Stop Event

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

Calls

Call 1

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

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

localize767.0ms (8.5%)

Memory

-124.3MiB live, 221.9MiB allocated; 994ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(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)))
accuracy	0.17644501953688402	(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
accuracy	1.0	(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	23.126842001556525	#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)))))
accuracy	0.0	#s(approx (/ (+ (* a2 a2) (* a1 a1)) (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)))
accuracy	0.16863251953688402	(.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
accuracy	0.97265625	(/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	23.126842001556525	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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))))
accuracy	0.14453125	(.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) a2)
accuracy	0.18359375	(.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.4375	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	30.503011833709138	#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
accuracy	0.16015625	(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.44921875	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	23.126842001556525	#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	54.650627442640676	#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.0	(cos.f64 th)
accuracy	0.08984375	(fma.f64 (.f64 (neg.f64 a2) a2) (cos.f64 th) (.f64 (*.f64 (neg.f64 a1) a1) (cos.f64 th)))
accuracy	0.09375	(.f64 (.f64 (neg.f64 a1) a1) (cos.f64 th))
accuracy	0.23113251953688402	(.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))))

Samples

168.0ms

256×

valid

Compiler

Compiled 349 to 46 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 66.0ms (56.6% of total)

ival-add: 28.0ms (24% of total)

ival-div: 11.0ms (9.4% of total)

ival-cos: 6.0ms (5.1% of total)

ival-neg: 3.0ms (2.6% of total)

ival-sqrt: 2.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series84.0ms (0.9%)

Memory

-13.4MiB live, 146.6MiB allocated; 50ms collecting garbage

Counts

24 → 71

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	a1	@	0	((+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th))) (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) (neg (sqrt 2)) (+ (* (/ (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)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (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 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* (neg (sqrt 2)) (sqrt 2)) (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (/ (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (* (neg (sqrt 2)) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (neg a1) a1) (cos th)) (cos th) (/ a2 (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2)))
14.0ms	th	@	0	((+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th))) (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) (neg (sqrt 2)) (+ (* (/ (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)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (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 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* (neg (sqrt 2)) (sqrt 2)) (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (/ (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (* (neg (sqrt 2)) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (neg a1) a1) (cos th)) (cos th) (/ a2 (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2)))
13.0ms	a2	@	0	((+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th))) (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) (neg (sqrt 2)) (+ (* (/ (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)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (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 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* (neg (sqrt 2)) (sqrt 2)) (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (/ (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (* (neg (sqrt 2)) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (neg a1) a1) (cos th)) (cos th) (/ a2 (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2)))
5.0ms	a1	@	inf	((+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th))) (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) (neg (sqrt 2)) (+ (* (/ (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)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (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 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* (neg (sqrt 2)) (sqrt 2)) (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (/ (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (* (neg (sqrt 2)) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (neg a1) a1) (cos th)) (cos th) (/ a2 (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2)))
4.0ms	a2	@	inf	((+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th))) (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) (neg (sqrt 2)) (+ (* (/ (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)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (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 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* (neg (sqrt 2)) (sqrt 2)) (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (/ (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (* (neg (sqrt 2)) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (neg a1) a1) (cos th)) (cos th) (/ a2 (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2)))

simplify217.0ms (2.4%)

Memory

0.3MiB live, 281.2MiB allocated; 97ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	1386
1	979	1320
2	4763	1300
0	8317	1202

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 70

Calls

Call 1

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

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

rewrite242.0ms (2.7%)

Memory

5.9MiB live, 304.1MiB allocated; 105ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	391
0	83	357
1	294	329
2	2249	320
0	9491	307

Stop Event

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

Counts

24 → 562

Calls

Call 1

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

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

eval93.0ms (1%)

Memory: -28.0MiB live, 212.1MiB allocated; 23ms collecting garbage
Compiler: Compiled 25 424 to 2 485 computations (90.2% saved)

prune34.0ms (0.4%)

Memory

4.4MiB live, 98.8MiB allocated; 4ms collecting garbage

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	635	11	646
Fresh	2	12	14
Picked	3	2	5
Done	0	2	2
Total	640	27	667

Accuracy

100.0%

Counts

667 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
▶	36.1%	(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	99.4%	#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))))
▶	63.7%	#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) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
▶	99.6%	#s(approx (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))))
✓	63.7%	#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))))
	67.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.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 #s(approx (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (neg.f64 a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	37.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (.f64 (.f64 (neg.f64 a1) a1) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (.f64 a2 a2) a1) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	63.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (.f64 (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	49.6%	#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))))
	63.5%	#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))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2)))
	99.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
	67.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
✓	99.4%	#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)))))
	58.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.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))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
✓	66.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	11.9%	#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)))))
	37.8%	#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)))))))
▶	37.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
	27.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 #s(approx (/ (+ ( (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (.f64 a2 a2))))
	63.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 #s(approx (/ (+ ( (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
▶	63.5%	#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))))))
✓	11.9%	#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))))))
	11.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 a1 (sqrt.f64 (/.f64 (.f64 a1 a1) #s(literal 2 binary64))))))

Compiler

Compiled 1 983 to 1 158 computations (41.6% saved)

simplify155.0ms (1.7%)

Memory

29.6MiB live, 262.2MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
cost-diff	0	(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	5	(fma.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))
cost-diff	0	(/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
cost-diff	0	#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
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 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
cost-diff	0	(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))) (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 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
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	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))))
cost-diff	1	(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	473
0	95	443
1	260	439
2	958	421
3	4090	421
0	8076	418

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (1.9%)

Memory

-1.1MiB live, 334.8MiB allocated; 33ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3109700361853891	(fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))
accuracy	3.3178208486761314	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)))
accuracy	12.436255724408083	(fma.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2)))
accuracy	26.441870318627657	#s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
accuracy	0.19369125976844204	(/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.221035009768442	(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
accuracy	23.126842001556525	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
accuracy	24.78169537534256	(.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.17253876953688402	(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
accuracy	23.126842001556525	#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))))
accuracy	0.09414449023925625	#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.171875	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.4375	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	23.126842001556525	#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 (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))))
accuracy	0.08984375	(.f64 (neg.f64 (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))
accuracy	0.22722626953688402	(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))))

Samples

138.0ms

256×

valid

Compiler

Compiled 347 to 60 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 69.0ms (61.4% of total)

ival-add: 14.0ms (12.5% of total)

ival-div: 11.0ms (9.8% of total)

ival-cos: 6.0ms (5.3% of total)

const: 5.0ms (4.5% of total)

ival-neg: 4.0ms (3.6% of total)

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

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series45.0ms (0.5%)

Memory

1.3MiB live, 97.8MiB allocated; 8ms collecting garbage

Counts

23 → 102

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	a1	@	inf	((* (* -1/2 (sqrt 2)) (* (neg (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (* -1/2 (sqrt 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 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* 1/2 (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (* 1/2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* 1/24 (* th th)) -1/2)) (* th th)) (+ (* a1 a1) (* a2 a2))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (+ (* 1/24 (* th th)) -1/2)) (* (neg (cos th)) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (/ a2 a1) (/ a2 a1)) 1) (+ (* 1/24 (* th th)) -1/2))
6.0ms	a2	@	-inf	((* (* -1/2 (sqrt 2)) (* (neg (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (* -1/2 (sqrt 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 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* 1/2 (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (* 1/2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* 1/24 (* th th)) -1/2)) (* th th)) (+ (* a1 a1) (* a2 a2))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (+ (* 1/24 (* th th)) -1/2)) (* (neg (cos th)) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (/ a2 a1) (/ a2 a1)) 1) (+ (* 1/24 (* th th)) -1/2))
5.0ms	a2	@	inf	((* (* -1/2 (sqrt 2)) (* (neg (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (* -1/2 (sqrt 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 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* 1/2 (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (* 1/2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* 1/24 (* th th)) -1/2)) (* th th)) (+ (* a1 a1) (* a2 a2))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (+ (* 1/24 (* th th)) -1/2)) (* (neg (cos th)) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (/ a2 a1) (/ a2 a1)) 1) (+ (* 1/24 (* th th)) -1/2))
5.0ms	th	@	inf	((* (* -1/2 (sqrt 2)) (* (neg (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (* -1/2 (sqrt 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 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* 1/2 (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (* 1/2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* 1/24 (* th th)) -1/2)) (* th th)) (+ (* a1 a1) (* a2 a2))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (+ (* 1/24 (* th th)) -1/2)) (* (neg (cos th)) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (/ a2 a1) (/ a2 a1)) 1) (+ (* 1/24 (* th th)) -1/2))
4.0ms	a2	@	0	((* (* -1/2 (sqrt 2)) (* (neg (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (* -1/2 (sqrt 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 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (* (* 1/2 (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (* 1/2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (* a1 a1)) (/ (+ (* (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (+ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* 1/24 (* th th)) -1/2)) (* th th)) (+ (* a1 a1) (* a2 a2))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (+ (* 1/24 (* th th)) -1/2)) (* (neg (cos th)) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (/ a2 a1) (/ a2 a1)) 1) (+ (* 1/24 (* th th)) -1/2))

simplify173.0ms (1.9%)

Memory

-8.1MiB live, 219.8MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	2088
1	1289	1823
2	6560	1779
0	8595	1630

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 102

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

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

rewrite273.0ms (3%)

Memory

44.7MiB live, 323.5MiB allocated; 127ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	405
0	95	370
1	378	364
2	3275	358
0	9915	358

Stop Event

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

Counts

23 → 578

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (cos.f64 th))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (neg.f64 (cos.f64 th)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal -1/2 binary64))
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (cos.f64 th))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (cos.f64 th))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (cos.f64 th)))))
(.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (fma.f64 a2 a2 (.f64 a1 a1))))
(/.f64 (.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 a1 a1 (.f64 (neg.f64 a2) a2)))
(/.f64 (.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1)))
(/.f64 (.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 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 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 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 a1 #s(literal 4 binary64))) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))))
(neg.f64 (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 a1 a1) (.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
(fma.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 a2 a2) (.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 a1 a1)))
(fma.f64 (.f64 a1 a1) (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 a2 a2) (.f64 (neg.f64 (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 a2 a2) (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 a1 a1) (.f64 (neg.f64 (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 (cos.f64 th) a2) (neg.f64 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) (neg.f64 a2))))
(+.f64 (.f64 (.f64 a1 a1) (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (.f64 (.f64 a2 a2) (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (.f64 a2 a2) (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (.f64 (.f64 a1 a1) (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 (cos.f64 th) a2) (neg.f64 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 a2 a2)) (.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 a1 a1)))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 (cos.f64 th) a2) (neg.f64 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (neg.f64 (cos.f64 th))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 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 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 (neg.f64 a2) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 a2) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (*.f64 a2 a2) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (.f64 (.f64 #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)))) (fma.f64 a1 a1 (*.f64 (neg.f64 a2) a2)))
(/.f64 (.f64 (.f64 #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)))) (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)))
(/.f64 (.f64 (.f64 #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 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 #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 a1 #s(literal 4 binary64))) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))
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(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 (.f64 (.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a1)) (neg.f64 a1) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (.f64 (.f64 a1 a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 (.f64 a1 a1) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (.f64 a2 a2) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (neg.f64 a2) (.f64 (neg.f64 a2) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 a2 (.f64 a2 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 a1 (.f64 a1 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) (.f64 (.f64 (neg.f64 a2) a2) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(*.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(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) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a1)) (neg.f64 a1))
(.f64 (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(.f64 (.f64 a1 a1) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a1 a1) (neg.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 a1 a1) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a1 a1) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a1 a1)))
(fma.f64 (.f64 a1 a1) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(+.f64 (.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a1 a1)))
(+.f64 (.f64 (.f64 a1 a1) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a2 a1) a2))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (.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))) (.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 a2 a1) a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (/.f64 a2 a1) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (/.f64 a2 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 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)))))
(/.f64 (fma.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 a2) a1) (/.f64 (/.f64 (neg.f64 a2) a1) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 a2 a1) (/.f64 (/.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) #s(literal -1/48 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 th #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 th #s(literal 4 binary64))) (.f64 (*.f64 th th) #s(literal -1/48 binary64)))))
(/.f64 (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) #s(literal -1/48 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 th))) th #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) th)) th #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 th)) (neg.f64 th) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))
(fma.f64 (neg.f64 th) (*.f64 (neg.f64 th) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))
(fma.f64 th (fabs.f64 (*.f64 (neg.f64 th) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 th (fabs.f64 (*.f64 #s(literal 1/24 binary64) th)) #s(literal -1/2 binary64))
(fma.f64 th (*.f64 #s(literal 1/24 binary64) th) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 th #s(literal 4 binary64))) (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) th)) th))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (.f64 th th)) #s(literal 1/24 binary64)))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 th th)))
(+.f64 (/.f64 (.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) #s(literal -1/48 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 th th) #s(literal -1/48 binary64))))))
(+.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64)))

eval96.0ms (1.1%)

Memory: -7.4MiB live, 183.0MiB allocated; 27ms collecting garbage
Compiler: Compiled 42 376 to 3 419 computations (91.9% saved)

prune48.0ms (0.5%)

Memory

3.9MiB live, 102.5MiB allocated; 13ms collecting garbage

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	702	13	715
Fresh	2	16	18
Picked	3	2	5
Done	0	4	4
Total	707	35	742

Accuracy

100.0%

Counts

742 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	58.3%	(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) #s(approx (+ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* 1/24 (* th th)) -1/2)) (* th th)) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) a2) a2))) (sqrt.f64 #s(literal 2 binary64)))
	67.3%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))
	99.4%	#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))))
✓	63.7%	#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) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
	99.7%	#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) (cos.f64 th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	63.6%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) #s(approx (* (* 1/2 (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
	11.9%	#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) #s(approx (* (* 1/2 (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
	58.8%	#s(approx (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.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)))) (fma.f64 a1 a1 (*.f64 a2 a2)))))
	99.5%	#s(approx (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (neg (cos th)) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (neg.f64 a2)))))
✓	63.7%	#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))))
	67.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.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 #s(approx (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (neg.f64 a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	37.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (.f64 (.f64 (neg.f64 a1) a1) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (.f64 a2 a2) a1) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	63.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* (neg a1) a1) (sqrt 2)) (* (neg (sqrt 2)) (* a2 a2))) (.f64 (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	49.6%	#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))))
	63.5%	#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))))
	99.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
	67.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
✓	99.4%	#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)))))
✓	66.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	11.9%	#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)))))
	37.8%	#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)))))))
	37.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (fma.f64 (.f64 (/.f64 a2 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	31.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
	37.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 #s(approx (+ ( (/ a2 a1) (/ a2 a1)) 1) (.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
	11.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 #s(approx (+ ( (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
	28.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 #s(approx (/ (+ ( (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (.f64 a1 a1))))
	28.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 #s(approx (/ (+ ( (/ a2 a1) (/ a2 a1)) 1) (sqrt 2)) (.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
	27.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 #s(approx (/ (+ ( (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (.f64 a2 a2))))
	63.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 #s(approx (/ (+ ( (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
✓	63.5%	#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))))))
✓	11.9%	#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))))))
	11.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 a1 (sqrt.f64 (/.f64 (.f64 a1 a1) #s(literal 2 binary64))))))

Compiler

Compiled 3 696 to 1 202 computations (67.5% saved)

regimes124.0ms (1.4%)

Memory

-27.1MiB live, 207.6MiB allocated; 29ms collecting garbage

Counts

57 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes112.0ms (1.2%)

Memory

13.2MiB live, 253.0MiB allocated; 25ms collecting garbage

Counts

44 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

27.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
17.0ms	a1
13.0ms	a2
11.0ms	(*.f64 a2 a2)
11.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes92.0ms (1%)

Memory

-10.3MiB live, 271.9MiB allocated; 15ms collecting garbage

Counts

42 → 1

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	(*.f64 a2 a2)
12.0ms	th
12.0ms	a2
12.0ms	a1
11.0ms	(*.f64 a1 a1)

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes85.0ms (0.9%)

Memory

31.5MiB live, 226.3MiB allocated; 9ms collecting garbage

Counts

41 → 1

Calls

Call 1

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

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

Calls

8 calls:

11.0ms	a1
11.0ms	a2
11.0ms	(*.f64 a2 a2)
11.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
10.0ms	th

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes86.0ms (1%)

Memory

-1.4MiB live, 189.2MiB allocated; 14ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

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

Calls

8 calls:

13.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
11.0ms	th
11.0ms	a1
10.0ms	a2
9.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
99.4%	1	`(*.f64 a2 a2)`
99.4%	1	`(*.f64 a1 a1)`
99.4%	1	`(cos.f64 th)`
99.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.4%	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)))`
99.4%	1	`a1`
99.4%	1	`a2`
99.4%	1	`th`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes82.0ms (0.9%)

Memory

-19.5MiB live, 169.9MiB allocated; 11ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

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:

11.0ms	th
11.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
11.0ms	a1
10.0ms	(*.f64 a2 a2)
10.0ms	a2

Results

Accuracy	Segments	Branch
99.4%	1	`(*.f64 a2 a2)`
99.4%	1	`(*.f64 a1 a1)`
99.4%	1	`(cos.f64 th)`
99.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.4%	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)))`
99.4%	1	`a1`
99.4%	1	`a2`
99.4%	1	`th`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes89.0ms (1%)

Memory

17.0MiB live, 155.8MiB allocated; 29ms collecting garbage

Counts

37 → 2

Calls

Call 1

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

Outputs

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

Calls

8 calls:

15.0ms	(*.f64 a1 a1)
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)))
12.0ms	a2
9.0ms	th
9.0ms	a1

Results

Accuracy	Segments	Branch
71.6%	2	`(*.f64 a2 a2)`
70.0%	2	`(*.f64 a1 a1)`
77.1%	2	`(cos.f64 th)`
77.1%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
78.3%	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)))`
70.0%	2	`a1`
72.3%	2	`a2`
71.0%	3	`th`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes32.0ms (0.4%)

Memory

13.9MiB live, 59.2MiB allocated; 9ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Calls

8 calls:

8.0ms	(cos.f64 th)
3.0ms	a2
3.0ms	a1
3.0ms	th
3.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
63.7%	1	`th`
63.7%	1	`(*.f64 a1 a1)`
63.7%	1	`a1`
63.7%	1	`(*.f64 a2 a2)`
63.7%	1	`a2`
63.7%	1	`(cos.f64 th)`
63.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
63.7%	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)))`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes33.0ms (0.4%)

Memory

-31.7MiB live, 59.0MiB allocated; 16ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

8.0ms	a2
8.0ms	(+.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	a1
3.0ms	th
3.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
63.6%	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)))`
63.6%	1	`(cos.f64 th)`
63.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
63.6%	1	`a1`
63.6%	1	`(*.f64 a1 a1)`
63.6%	1	`th`
63.6%	1	`(*.f64 a2 a2)`
63.6%	1	`a2`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

8 calls:

1.0ms	a2
1.0ms	a1
1.0ms	th
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)))

Results

Accuracy	Segments	Branch
11.9%	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)))`
11.9%	1	`(cos.f64 th)`
11.9%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
11.9%	1	`(*.f64 a1 a1)`
11.9%	1	`a1`
11.9%	1	`th`
11.9%	1	`(*.f64 a2 a2)`
11.9%	1	`a2`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.958689368333504e-101	-2.3234950104202395e-265

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify75.0ms (0.8%)

Memory

-15.0MiB live, 38.8MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	361
1	212	354
2	656	340
3	2197	340
4	4611	340
5	5977	340
6	7779	340

Stop Event

1×	node 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 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (neg (cos th)) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (neg.f64 a2)))))
(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 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))))
(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 -492525077454931/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) 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) (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 (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) #s(approx (* (* 1/2 (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) #s(approx (* (* 1/2 (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))

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) (cos.f64 th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (neg (sqrt 2)) (+ (* (* (neg a2) a2) (cos th)) (* (* (neg a1) a1) (cos th)))) 2) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (neg (cos th)) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (neg.f64 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))) #s(approx (* (neg (cos th)) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (neg.f64 a2)))))
(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 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))))
(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 -492525077454931/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) 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) (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 (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) #s(approx (* (* 1/2 (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (/ (+ (* (* (* a2 (cos th)) (neg a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (* a1 (cos th)) (neg a1)))) 2) #s(approx (* (* 1/2 (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))

derivations1.6s (17.4%)

Memory

45.5MiB live, 1 386.4MiB allocated; 506ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	1386
1	979	1320
2	4763	1300
0	8317	1202
0	307	1921
1	1219	1763
2	5921	1736
0	8075	1597
0	322	2088
1	1289	1823
2	6560	1779
0	8595	1630
0	111	543
1	388	508
2	1688	439
3	5754	424
0	8567	387
0	12	44
0	20	38
1	72	38
2	505	38
3	7079	38
0	8822	37
0	42	270
0	69	258
1	234	249
2	1698	231
0	8813	230

Stop Event

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

Compiler

Compiled 428 to 89 computations (79.2% saved)

preprocess75.0ms (0.8%)

Memory

-2.2MiB live, 140.2MiB allocated; 28ms collecting garbage

Remove

(sort a1 a2)

(abs a1)

(abs a2)

(abs th)

Compiler

Compiled 1 534 to 634 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (16.5%)

explain162.0ms (1.8%)

preprocess266.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify174.0ms (1.9%)

localize70.0ms (0.8%)

series17.0ms (0.2%)

simplify200.0ms (2.2%)

rewrite225.0ms (2.5%)

eval44.0ms (0.5%)

prune66.0ms (0.7%)

simplify213.0ms (2.4%)

localize164.0ms (1.8%)

series88.0ms (1%)

simplify227.0ms (2.5%)

rewrite334.0ms (3.7%)

eval209.0ms (2.3%)

prune46.0ms (0.5%)

simplify138.0ms (1.5%)

localize767.0ms (8.5%)

series84.0ms (0.9%)

simplify217.0ms (2.4%)

rewrite242.0ms (2.7%)

eval93.0ms (1%)

prune34.0ms (0.4%)

simplify155.0ms (1.7%)

localize175.0ms (1.9%)

series45.0ms (0.5%)

simplify173.0ms (1.9%)

rewrite273.0ms (3%)

eval96.0ms (1.1%)

prune48.0ms (0.5%)

regimes124.0ms (1.4%)

regimes112.0ms (1.2%)

regimes92.0ms (1%)

regimes85.0ms (0.9%)

regimes86.0ms (1%)

regimes82.0ms (0.9%)

regimes89.0ms (1%)

regimes32.0ms (0.4%)

regimes33.0ms (0.4%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

simplify75.0ms (0.8%)

derivations1.6s (17.4%)

preprocess75.0ms (0.8%)

end0.0ms (0%)

Profiling