Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.2s (17.1%)

Memory

6.1MiB live, 1 955.0MiB allocated

Samples

845.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 636.0ms

ival-mult: 241.0ms (37.9% of total)

ival-cos: 231.0ms (36.3% of total)

ival-sqrt: 59.0ms (9.3% of total)

ival-div: 54.0ms (8.5% of total)

ival-add: 36.0ms (5.7% of total)

ival-true: 6.0ms (0.9% of total)

exact: 6.0ms (0.9% of total)

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

Bogosity

explain192.0ms (2.8%)

Memory

-31.3MiB live, 220.4MiB allocated

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

74.0ms

512×

valid

Compiler

Compiled 191 to 52 computations (72.8% saved)

Precisions

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

ival-mult: 12.0ms (35.9% of total)

ival-cos: 11.0ms (32.9% of total)

ival-sqrt: 4.0ms (12% of total)

ival-div: 3.0ms (9% of total)

ival-add: 2.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess173.0ms (2.5%)

Memory

37.1MiB live, 155.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	120
1	182	120
2	672	120
3	2564	120
4	6443	120
0	12	19
0	20	13
1	54	13
2	195	13
3	726	13
4	2415	13
5	5650	13
6	7629	13
0	8012	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 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))

Symmetry

(abs th)

(abs a2)

(abs a1)

(sort a1 a2)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

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

prune10.0ms (0.1%)

Memory

-38.1MiB live, 0.7MiB allocated

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)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize79.0ms (1.1%)

Memory

8.2MiB live, 46.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 th)
accuracy	0.1953125	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
accuracy	0.2421875	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.7037887695368841	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

26.0ms

256×

valid

Compiler

Compiled 114 to 26 computations (77.2% saved)

Precisions

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

ival-cos: 6.0ms (36.4% of total)

ival-mult: 6.0ms (36.4% of total)

ival-div: 2.0ms (12.1% of total)

ival-sqrt: 2.0ms (12.1% of total)

ival-add: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

4 → 20

Calls

Call 1

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

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

Calls

9 calls:

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

simplify242.0ms (3.5%)

Memory

14.7MiB live, 162.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	339
1	258	315
2	1028	277
3	5273	264
0	8333	240

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

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

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

rewrite209.0ms (3%)

Memory

-13.4MiB live, 154.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
0	18	25
1	57	25
2	306	25
3	2203	25
0	9480	25

Stop Event

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

Counts

4 → 260

Calls

Call 1

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

Outputs
(*.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) #s(literal -1 binary64)) (tanh.f64 (asinh.f64 #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (tanh.f64 (asinh.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (pow.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (cos.f64 th)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))
(*.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) (neg.f64 (cos.f64 th)))
(.f64 #s(literal -1 binary64) (.f64 (cos.f64 th) (tanh.f64 (asinh.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 (cos.f64 th) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (cos.f64 th))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 th)) (tanh.f64 (asinh.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
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(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 th)) (+.f64 (pow.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (cos.f64 th)))) (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (*.f64 (sin.f64 th) #s(literal 0 binary64)) (cos.f64 th))))))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 th)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th))) #s(literal 0 binary64) (cos.f64 th)) (neg.f64 (cos.f64 th))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 th)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 th) (neg.f64 (cos.f64 th))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (sin.f64 (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64)))) (+.f64 (sin.f64 (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 th)))) (.f64 (sin.f64 (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 th) #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (cos.f64 th)))) (+.f64 (sin.f64 (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 th)))) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (*.f64 (sin.f64 th) #s(literal 0 binary64)) (cos.f64 th)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th))) #s(literal 0 binary64) (cos.f64 th)) (neg.f64 (cos.f64 th))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 th)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 th) (neg.f64 (cos.f64 th))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 th)))) #s(literal 4 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 #s(literal -1 binary64) th (PI.f64)) (PI.f64)))) (cos.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 #s(literal -1 binary64) th (PI.f64)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) (+.f64 (+.f64 (PI.f64) th) (PI.f64)))) (cos.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (PI.f64) th) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th)) (PI.f64)))) (cos.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 th) (cos.f64 th)) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) th)) (cos.f64 th)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 binary64))) (sin.f64 (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 th) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (*.f64 (sin.f64 th) #s(literal 0 binary64)) (cos.f64 th)))))
(/.f64 (-.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th))) #s(literal 0 binary64) (cos.f64 th)) (neg.f64 (cos.f64 th))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 th) (neg.f64 (cos.f64 th))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (cos.f64 th)))
(fma.f64 (sin.f64 (/.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) th) (.f64 th th)))) (cos.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) th) (.f64 th th)))) (.f64 (cos.f64 (/.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) th) (.f64 th th)))) (sin.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) th) (*.f64 th th))))))
(fma.f64 (neg.f64 (sin.f64 th)) #s(literal 0 binary64) (cos.f64 th))
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 th))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)) (*.f64 (sin.f64 th) #s(literal 0 binary64)))
(fma.f64 (sin.f64 th) #s(literal 0 binary64) (cos.f64 th))
(fma.f64 #s(literal 0 binary64) (sin.f64 th) (cos.f64 th))
(fma.f64 #s(literal 1 binary64) (cos.f64 th) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 th))))
(fma.f64 #s(literal 1 binary64) (cos.f64 th) (*.f64 (sin.f64 th) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 th)) #s(literal 0 binary64)))
(fma.f64 (cos.f64 th) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 th))))
(fma.f64 (cos.f64 th) #s(literal 1 binary64) (*.f64 (sin.f64 th) #s(literal 0 binary64)))
(sin.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th)))))
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th)) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1 binary64) th (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) th) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1 binary64) th (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) th) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))
(sin.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1 binary64) th (PI.f64)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) th) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th))))
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64))))
(sin.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (PI.f64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th))
(-.f64 (.f64 (neg.f64 (sin.f64 th)) (cos.f64 (.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))) (.f64 (cos.f64 th) (sin.f64 (.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))))
(-.f64 (.f64 #s(literal 0 binary64) (cos.f64 (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 1 binary64) (sin.f64 (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64))))))
(-.f64 (.f64 (sin.f64 (/.f64 (.f64 th th) (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 (cos.f64 (/.f64 (.f64 th th) (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 th (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(-.f64 (.f64 (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64))) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)))
(-.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) th (PI.f64))) #s(literal 0 binary64)))
(-.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (.f64 (sin.f64 (+.f64 (PI.f64) th)) #s(literal 0 binary64)))
(-.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (.f64 (neg.f64 (sin.f64 th)) #s(literal 0 binary64)))
(-.f64 (.f64 (sin.f64 th) (cos.f64 (.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))) (.f64 (cos.f64 th) (sin.f64 (.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (neg.f64 (sin.f64 th)) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)))
(-.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th)))
(-.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 th))))
(cos.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cos.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1 binary64) th (PI.f64)) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) th) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th)) (PI.f64))))
(cos.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cos.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) th (PI.f64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) th)) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1 binary64) th (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) th) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (fma.f64 #s(literal -1 binary64) th (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) th) (PI.f64)))
(cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th)) (PI.f64)))
(cos.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (.f64 (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64))) #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (.f64 (neg.f64 (sin.f64 th)) #s(literal 0 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) th) (.f64 th th)))) (cos.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) th) (.f64 th th))))) (.f64 (cos.f64 (/.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) th) (.f64 th th)))) (sin.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) th) (.f64 th th))))))
(+.f64 (*.f64 (neg.f64 (sin.f64 th)) #s(literal 0 binary64)) (cos.f64 th))
(+.f64 (*.f64 (sin.f64 th) #s(literal 0 binary64)) (cos.f64 th))
(+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 th))))
(+.f64 (cos.f64 th) (*.f64 (sin.f64 th) #s(literal 0 binary64)))

eval77.0ms (1.1%)

Memory: -6.5MiB live, 83.5MiB allocated
Compiler: Compiled 12 384 to 1 522 computations (87.7% saved)

prune27.0ms (0.4%)

Memory

-3.8MiB live, 34.9MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	432	14	446
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	433	14	447

Accuracy

100.0%

Counts

447 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
▶	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
▶	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))))
	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (.f64 (*.f64 a2 (cos.f64 th)) a2)))
	59.7%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (pow.f64 (cos.f64 th) #s(literal -1 binary64)))))
	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 a2 a2)))
▶	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
▶	37.9%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 (.f64 (.f64 a2 a2) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	64.4%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
▶	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))

Compiler

Compiled 642 to 456 computations (29% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize205.0ms (3%)

Memory

7.1MiB live, 126.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.23046875	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
accuracy	0.2421875	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.5383597320503937	(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
accuracy	0.7037887695368841	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.1171875	(*.f64 a2 (cos.f64 th))
accuracy	0.2421875	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.24513627930532605	(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.7037887695368841	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.7037887695368841	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
accuracy	2.62463637358908	(.f64 (.f64 a2 a2) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)))
accuracy	11.902792141749048	(fma.f64 (.f64 (.f64 a2 a2) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (*.f64 a2 a2))
accuracy	26.181647016524803	#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 (.f64 (.f64 a2 a2) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.1953125	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
accuracy	0.47265625	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.7037887695368841	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
accuracy	15.955733365063818	#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
accuracy	0.1953125	(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (cos.f64 th)) (*.f64 a2 a2))
accuracy	0.236660009768442	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (cos.f64 th))
accuracy	0.2421875	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.7037887695368841	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

109.0ms

256×

valid

Compiler

Compiled 832 to 87 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 50.0ms (60.4% of total)

ival-div: 10.0ms (12.1% of total)

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

ival-add: 6.0ms (7.2% of total)

const: 4.0ms (4.8% of total)

ival-pow: 4.0ms (4.8% of total)

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

exact: 1.0ms (1.2% of total)

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

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

series134.0ms (1.9%)

Memory

-10.7MiB live, 147.2MiB allocated

Counts

14 → 53

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	th	@	-inf	((/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (pow 4 -1/4) (cos th)) (* (* (pow 4 -1/4) (cos th)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ a1 (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (+ (* (* (* a2 a2) (+ (* 1/24 (* th th)) -1/2)) (* th th)) (* a2 a2)) (* (* a2 a2) (+ (* 1/24 (* th th)) -1/2)) (/ (* (* a2 (cos th)) a2) (sqrt 2)) (* a2 (cos th)) (/ (/ (sqrt 2) (cos th)) (* a2 a2)) (/ (sqrt 2) (cos th)))
37.0ms	a2	@	0	((/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (pow 4 -1/4) (cos th)) (* (* (pow 4 -1/4) (cos th)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ a1 (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (+ (* (* (* a2 a2) (+ (* 1/24 (* th th)) -1/2)) (* th th)) (* a2 a2)) (* (* a2 a2) (+ (* 1/24 (* th th)) -1/2)) (/ (* (* a2 (cos th)) a2) (sqrt 2)) (* a2 (cos th)) (/ (/ (sqrt 2) (cos th)) (* a2 a2)) (/ (sqrt 2) (cos th)))
24.0ms	th	@	inf	((/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (pow 4 -1/4) (cos th)) (* (* (pow 4 -1/4) (cos th)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ a1 (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (+ (* (* (* a2 a2) (+ (* 1/24 (* th th)) -1/2)) (* th th)) (* a2 a2)) (* (* a2 a2) (+ (* 1/24 (* th th)) -1/2)) (/ (* (* a2 (cos th)) a2) (sqrt 2)) (* a2 (cos th)) (/ (/ (sqrt 2) (cos th)) (* a2 a2)) (/ (sqrt 2) (cos th)))
14.0ms	a2	@	inf	((/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (pow 4 -1/4) (cos th)) (* (* (pow 4 -1/4) (cos th)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ a1 (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (+ (* (* (* a2 a2) (+ (* 1/24 (* th th)) -1/2)) (* th th)) (* a2 a2)) (* (* a2 a2) (+ (* 1/24 (* th th)) -1/2)) (/ (* (* a2 (cos th)) a2) (sqrt 2)) (* a2 (cos th)) (/ (/ (sqrt 2) (cos th)) (* a2 a2)) (/ (sqrt 2) (cos th)))
9.0ms	a2	@	-inf	((/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (pow 4 -1/4) (cos th)) (* (* (pow 4 -1/4) (cos th)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ a1 (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (+ (* (* (* a2 a2) (+ (* 1/24 (* th th)) -1/2)) (* th th)) (* a2 a2)) (* (* a2 a2) (+ (* 1/24 (* th th)) -1/2)) (/ (* (* a2 (cos th)) a2) (sqrt 2)) (* a2 (cos th)) (/ (/ (sqrt 2) (cos th)) (* a2 a2)) (/ (sqrt 2) (cos th)))

simplify211.0ms (3.1%)

Memory

16.6MiB live, 185.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	931
1	692	877
2	3050	758
0	8195	705

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 52

Calls

Call 1

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

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

rewrite156.0ms (2.3%)

Memory

5.9MiB live, 201.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	143
0	59	143
1	199	143
2	1321	141
0	8478	139

Stop Event

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

Counts

14 → 731

Calls

Call 1

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

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

eval123.0ms (1.8%)

Memory: -29.1MiB live, 243.2MiB allocated
Compiler: Compiled 36 253 to 3 384 computations (90.7% saved)

prune34.0ms (0.5%)

Memory

10.2MiB live, 88.9MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	974	23	997
Fresh	8	1	9
Picked	3	2	5
Done	0	0	0
Total	985	26	1 011

Accuracy

100.0%

Counts

1 011 → 26

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 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
	58.7%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (.f64 #s(approx ( a2 (cos th)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) a2 a2)) a2) (sqrt.f64 #s(literal 2 binary64))))
	64.4%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
	64.4%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt 2) (cos th)) (* a2 a2)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
	57.8%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt 2) (cos th)) (* a2 a2)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 th th) #s(literal 1 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))))
▶	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 a2 a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
▶	98.1%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 (neg.f64 a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (neg.f64 a2))))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 a2 (cos.f64 th)) a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (/.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th))))
	97.9%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (/.f64 (*.f64 a2 a2) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (/.f64 (neg.f64 a2) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
✓	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (.f64 a2 a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2))
▶	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th)))
	58.6%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 #s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
	58.9%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (.f64 (.f64 (fma.f64 (fma.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)))))
	58.6%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
▶	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
	37.9%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 (.f64 (.f64 a2 a2) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 1 491 to 1 038 computations (30.4% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize141.0ms (2.1%)

Memory

-8.5MiB live, 193.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(/.f64 (neg.f64 a2) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
accuracy	0.47265625	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.47265625	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	15.955733365063818	#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
accuracy	0.1875	(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
accuracy	0.4296875	(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
accuracy	0.47265625	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	15.955733365063818	#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
accuracy	0.13671875	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
accuracy	0.47265625	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.47265625	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	15.955733365063818	#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
accuracy	0.47265625	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.47265625	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	15.955733365063818	#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
accuracy	22.69094603835024	#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.23046875	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
accuracy	0.2421875	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.59765625	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
accuracy	0.7037887695368841	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

77.0ms

256×

valid

Compiler

Compiled 756 to 77 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 19.0ms (36.6% of total)

ival-div: 16.0ms (30.8% of total)

ival-cos: 7.0ms (13.5% of total)

ival-add: 6.0ms (11.6% of total)

ival-sqrt: 2.0ms (3.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

26.3MiB live, 26.3MiB allocated

Counts

12 → 28

Calls

Call 1

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

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

Calls

9 calls:

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

simplify173.0ms (2.5%)

Memory

8.0MiB live, 206.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	446
1	388	413
2	1659	367
3	5897	352
0	8008	324

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

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

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

rewrite277.0ms (4%)

Memory

-8.1MiB live, 152.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	92
0	47	90
1	141	89
2	718	87
3	5074	87
0	8153	87

Stop Event

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

Counts

12 → 615

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (cos.f64 th)))
(.f64 (.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (cos.f64 th))
(.f64 (.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (cos.f64 th)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 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))) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 th))
(*.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))))
(.f64 (.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)))
(*.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) (neg.f64 (cos.f64 th)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (cos.f64 th)) (tanh.f64 (asinh.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) (cos.f64 th)))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) th (PI.f64)) (PI.f64)))) (sin.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) th (PI.f64)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (+.f64 (+.f64 (PI.f64) th) (PI.f64)))) (sin.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (+.f64 (+.f64 (PI.f64) th) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th)) (PI.f64)))) (sin.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (neg.f64 th))) (sin.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (neg.f64 th)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) th)) (sin.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) th))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th))))) (cos.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64))))) (cos.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)))) (cos.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (PI.f64)))) (cos.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th)))) (cos.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (atan.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th))) (cos.f64 (+.f64 (atan.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th))) (atan.f64 #s(literal 1 binary64)))) (cos.f64 (+.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th))) (atan.f64 #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64))) (atan.f64 #s(literal 1 binary64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64))) (atan.f64 #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (atan.f64 #s(literal 1 binary64)))) (cos.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (atan.f64 #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (PI.f64)) (atan.f64 #s(literal 1 binary64)))) (cos.f64 (+.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (PI.f64)) (PI.f64)) (atan.f64 #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th)) (atan.f64 #s(literal 1 binary64)))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 th)) (atan.f64 #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (atan.f64 #s(literal 1 binary64)))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) th) (atan.f64 #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(/.f64 (*.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))
(/.f64 (*.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))
(/.f64 (*.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) (cos.f64 th)) #s(literal -1 binary64))
(/.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))
(/.f64 (neg.f64 (cos.f64 th)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (cos.f64 th)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) (cos.f64 th)))
(fma.f64 (*.f64 (sin.f64 th) #s(literal 0 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (sin.f64 th) #s(literal 0 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) (cos.f64 th)))
(fabs.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (sin.f64 th) #s(literal 0 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (sinh.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (cos.f64 th)))
(.f64 (.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (cos.f64 th))
(.f64 (.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (cos.f64 th)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 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))) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 th))
(*.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))))
(.f64 (.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)))
(*.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) (neg.f64 (cos.f64 th)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (cos.f64 th)) (tanh.f64 (asinh.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (tanh.f64 (asinh.f64 #s(literal -1 binary64))) (cos.f64 th)))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
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(/.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (cos.f64 th))) #s(literal 1 binary64))
(/.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal -1 binary64)))
(/.f64 (neg.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(/.f64 (*.f64 a2 a2) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 a2 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 a2 (*.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 a2 (*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (pow.f64 a2 #s(literal -1 binary64))))
(/.f64 a2 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal -1 binary64))))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 a2 a2) #s(literal -1 binary64)))
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
(neg.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (cos.f64 th))))
(fma.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 0 binary64) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (cos.f64 th))))
(fma.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (cos.f64 th))))
(fma.f64 #s(literal 0 binary64) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (cos.f64 th))))
(fma.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (sin.f64 th) #s(literal 0 binary64)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (cos.f64 th))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (cos.f64 th))))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (cos.f64 th))))
(exp.f64 (fma.f64 (log.f64 a2) #s(literal 2 binary64) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (log.f64 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (fma.f64 (log.f64 a2) #s(literal 2 binary64) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) (sinh.f64 (fma.f64 (log.f64 a2) #s(literal 2 binary64) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(+.f64 (cosh.f64 (+.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (log.f64 a2) #s(literal 2 binary64)))) (sinh.f64 (+.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (log.f64 a2) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 0 binary64)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (sin.f64 th) #s(literal 0 binary64))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (cos.f64 th))))
(.f64 (pow.f64 (pow.f64 (.f64 a2 (cos.f64 th)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (cos.f64 th)) a2)
(.f64 #s(literal -1 binary64) (.f64 a2 (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) #s(literal -1 binary64))
(.f64 (.f64 a2 (cos.f64 th)) #s(literal 1 binary64))
(*.f64 a2 (neg.f64 (cos.f64 th)))
(*.f64 a2 (cos.f64 th))
(.f64 #s(literal 1 binary64) (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) a2)
(pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (cos.f64 th)))) (.f64 a2 (cos.f64 th)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 a2 (cos.f64 th)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (cos.f64 th)) (.f64 #s(literal 0 binary64) (*.f64 a2 (cos.f64 th))))))
(/.f64 (.f64 (pow.f64 a2 #s(literal 3 binary64)) (neg.f64 (cos.f64 th))) (.f64 a2 a2))
(/.f64 (.f64 (pow.f64 a2 #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 a2 a2) (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(/.f64 (.f64 (pow.f64 a2 #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(/.f64 (.f64 (pow.f64 a2 #s(literal 3 binary64)) (cos.f64 th)) (.f64 a2 a2))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (pow.f64 a2 #s(literal 3 binary64))) (.f64 a2 a2))
(/.f64 (.f64 (cos.f64 th) (pow.f64 a2 #s(literal 3 binary64))) (.f64 a2 a2))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 th) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 th)) a2)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 th)) (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 th)) a2)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 th)) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 (.f64 a2 (cos.f64 th)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 th)) (pow.f64 (.f64 a2 (cos.f64 th)) #s(literal -1 binary64))))
(/.f64 (pow.f64 a2 #s(literal 3 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 th)) (.f64 a2 a2)))
(/.f64 (pow.f64 a2 #s(literal 3 binary64)) (.f64 (.f64 a2 a2) (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(/.f64 (pow.f64 a2 #s(literal 3 binary64)) (.f64 (.f64 a2 a2) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(/.f64 (pow.f64 a2 #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) (.f64 a2 a2)))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) a2)
(/.f64 (neg.f64 (cos.f64 th)) (pow.f64 a2 #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal -1 binary64)))
(/.f64 (*.f64 a2 (cos.f64 th)) #s(literal -1 binary64))
(/.f64 (*.f64 a2 (cos.f64 th)) #s(literal 1 binary64))
(/.f64 (.f64 a2 a2) (.f64 a2 (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(/.f64 (.f64 a2 a2) (.f64 a2 (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(/.f64 (.f64 a2 a2) (.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) a2))
(/.f64 (.f64 a2 a2) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 th)) a2))
(/.f64 a2 (pow.f64 (cos.f64 th) #s(literal -1 binary64)))
(/.f64 a2 (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a2 (cos.f64 th)) #s(literal -1 binary64)))
(/.f64 (cos.f64 th) (pow.f64 a2 #s(literal -1 binary64)))
(neg.f64 (*.f64 a2 (cos.f64 th)))
(fma.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) a2 (.f64 a2 (cos.f64 th)))
(fma.f64 (neg.f64 (cos.f64 th)) #s(literal 0 binary64) (*.f64 a2 (cos.f64 th)))
(fma.f64 a2 (.f64 (sin.f64 th) #s(literal 0 binary64)) (.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) #s(literal 0 binary64) (*.f64 a2 (cos.f64 th)))
(-.f64 #s(literal 0 binary64) (*.f64 a2 (cos.f64 th)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 a2 (cos.f64 th)))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (.f64 a2 (cos.f64 th)))) #s(literal -1 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (.f64 a2 (cos.f64 th)))) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) a2) (*.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) #s(literal 0 binary64)) (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 a2 (.f64 (sin.f64 th) #s(literal 0 binary64))) (*.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal 0 binary64)) (.f64 a2 (cos.f64 th)))
(+.f64 (/.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (pow.f64 a2 #s(literal -1 binary64))) (.f64 a2 (cos.f64 th)))
(+.f64 #s(literal 0 binary64) (*.f64 a2 (cos.f64 th)))

eval268.0ms (3.9%)

Memory: -15.4MiB live, 176.1MiB allocated
Compiler: Compiled 27 414 to 2 569 computations (90.6% saved)

prune69.0ms (1%)

Memory

-0.9MiB live, 77.8MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	882	13	895
Fresh	11	8	19
Picked	1	4	5
Done	0	2	2
Total	894	27	921

Accuracy

100.0%

Counts

921 → 27

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 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
	58.7%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (.f64 #s(approx ( a2 (cos th)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) a2 a2)) a2) (sqrt.f64 #s(literal 2 binary64))))
✓	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 a2 a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
✓	98.1%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
▶	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (/.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th))))
▶	98.2%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (/.f64 (neg.f64 a2) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (sqrt.f64 (/.f64 (*.f64 a2 a2) #s(literal 2 binary64)))))
✓	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (.f64 a2 a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
✓	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th)))
	98.1%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) #s(literal 2 binary64)))) (cos.f64 th)))
	57.5%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 #s(approx (/ (neg a2) (/ -1 (cos th))) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
	58.9%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (.f64 (.f64 (fma.f64 (fma.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)))))
	64.2%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) a2)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))))
▶	15.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
	15.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 (.f64 a2 a2) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) a2)))))
	63.6%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 (.f64 a2 a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
✓	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
▶	15.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
▶	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))))
	15.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))))
	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2))))
	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) #s(literal 2 binary64))))))

Compiler

Compiled 1 557 to 1 025 computations (34.2% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize173.0ms (2.5%)

Memory

0.6MiB live, 161.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
accuracy	0.234375	(/.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.47265625	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	15.955733365063818	#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
accuracy	0.47265625	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	15.955733365063818	#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
accuracy	26.576060188550343	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
accuracy	53.391363084123036	#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
accuracy	0.4296875	(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
accuracy	0.47265625	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	15.955733365063818	#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
accuracy	22.69094603835024	#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
accuracy	0.47265625	(/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.47265625	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	15.955733365063818	#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
accuracy	53.391363084123036	#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
accuracy	0.16015625	(/.f64 (neg.f64 a2) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
accuracy	0.47265625	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	15.955733365063818	#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
accuracy	26.369028939144602	(sqrt.f64 (/.f64 (*.f64 a2 a2) #s(literal 2 binary64)))

Samples

125.0ms

256×

valid

Compiler

Compiled 978 to 92 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 26.0ms (42.7% of total)

ival-mult: 17.0ms (27.9% of total)

ival-cos: 6.0ms (9.8% of total)

ival-sqrt: 4.0ms (6.6% of total)

ival-add: 3.0ms (4.9% of total)

ival-neg: 3.0ms (4.9% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series14.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

12 → 21

Calls

Call 1

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

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

Calls

9 calls:

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

simplify201.0ms (2.9%)

Memory

14.2MiB live, 169.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	307
1	253	289
2	1055	253
3	5412	243
0	8088	225

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 20

Calls

Call 1

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

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

rewrite87.0ms (1.3%)

Memory

-24.4MiB live, 60.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	134
0	63	124
1	222	118
0	1522	118

Stop Event

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

Counts

12 → 183

Calls

Call 1

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

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

eval68.0ms (1%)

Memory: -9.7MiB live, 66.6MiB allocated
Compiler: Compiled 12 665 to 1 043 computations (91.8% saved)

prune62.0ms (0.9%)

Memory

19.1MiB live, 65.2MiB allocated

Pruning

32 alts after pruning (22 fresh and 10 done)

	Pruned	Kept	Total
New	334	8	342
Fresh	2	14	16
Picked	1	4	5
Done	0	6	6
Total	337	32	369

Accuracy

100.0%

Counts

369 → 32

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 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
✓	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 a2 a2)))
	7.8%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (fma.f64 (.f64 (.f64 a1 a1) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
	13.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
✓	98.1%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
✓	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (/.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th))))
✓	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (.f64 (/.f64 (fabs.f64 a2) #s(literal -1 binary64)) (.f64 (fabs.f64 a2) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 th))))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2)))
	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
✓	98.0%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th)))
	98.1%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) #s(literal 2 binary64)))) (cos.f64 th)))
	57.5%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 #s(approx (/ (neg a2) (/ -1 (cos th))) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	98.2%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 #s(approx (/ (neg a2) (/ -1 (cos th))) (.f64 (cos.f64 th) a2)) (sqrt.f64 (/.f64 (.f64 a2 a2) #s(literal 2 binary64)))))
	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
	58.9%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (.f64 (.f64 (fma.f64 (fma.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)))))
	15.2%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 (/.f64 (.f64 (/.f64 (*.f64 a2 a2) #s(literal -2 binary64)) a2) a2) (sqrt.f64 #s(literal 2 binary64)))))
	64.2%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) a2)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))))
✓	15.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
	15.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 (.f64 a2 a2) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) a2)))))
	63.6%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 (.f64 a2 a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
✓	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
✓	15.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
✓	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))))
	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))))
	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))))
	15.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))))
	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2))))
	15.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2))))
	64.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) #s(literal 2 binary64))))))

Compiler

Compiled 2 886 to 964 computations (66.6% saved)

regimes161.0ms (2.3%)

Memory

5.1MiB live, 162.6MiB allocated

Counts

59 → 1

Calls

Call 1

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

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

Calls

8 calls:

36.0ms	(cos.f64 th)
27.0ms	(*.f64 a2 a2)
21.0ms	(+.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	a2
15.0ms	a1

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes134.0ms (1.9%)

Memory

-3.0MiB live, 155.2MiB allocated

Counts

55 → 1

Calls

Call 1

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

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

Calls

8 calls:

25.0ms	a2
21.0ms	(*.f64 a2 a2)
17.0ms	(cos.f64 th)
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)))
14.0ms	a1

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes129.0ms (1.9%)

Memory

-16.6MiB live, 141.4MiB allocated

Counts

49 → 1

Calls

Call 1

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

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

Calls

8 calls:

27.0ms	a1
19.0ms	th
18.0ms	(*.f64 a2 a2)
15.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
12.0ms	a2

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes106.0ms (1.5%)

Memory

30.9MiB live, 148.0MiB allocated

Counts

48 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

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)))
15.0ms	a2
15.0ms	(cos.f64 th)
12.0ms	a1
12.0ms	th

Results

Accuracy	Segments	Branch
98.2%	1	`a1`
98.2%	1	`a2`
98.2%	1	`th`
98.2%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
98.2%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.2%	1	`(cos.f64 th)`
98.2%	1	`(*.f64 a1 a1)`
98.2%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes81.0ms (1.2%)

Memory

-3.6MiB live, 116.2MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

8 calls:

19.0ms	(*.f64 a2 a2)
12.0ms	(cos.f64 th)
9.0ms	a2
8.0ms	a1
8.0ms	th

Results

Accuracy	Segments	Branch
98.0%	1	`a1`
98.0%	1	`a2`
98.0%	1	`th`
98.0%	1	`(*.f64 a1 a1)`
98.0%	1	`(*.f64 a2 a2)`
98.0%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
98.0%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.0%	1	`(cos.f64 th)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes82.0ms (1.2%)

Memory

-3.4MiB live, 155.0MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

8 calls:

14.0ms	(cos.f64 th)
13.0ms	(+.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)))
11.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
10.0ms	(*.f64 a1 a1)
10.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
98.0%	1	`a1`
98.0%	1	`a2`
98.0%	1	`th`
98.0%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
98.0%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.0%	1	`(cos.f64 th)`
98.0%	1	`(*.f64 a1 a1)`
98.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes54.0ms (0.8%)

Memory

-4.8MiB live, 112.1MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

8.0ms	(*.f64 a2 a2)
8.0ms	a1
7.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
6.0ms	a2
6.0ms	th

Results

Accuracy	Segments	Branch
64.4%	1	`a1`
64.4%	1	`a2`
64.4%	1	`(*.f64 a1 a1)`
64.4%	1	`(*.f64 a2 a2)`
66.3%	2	`th`
74.5%	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)))`
74.5%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
74.5%	2	`(cos.f64 th)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

1.0ms

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

1.0ms

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

1.0ms

(cos.f64 th)

Results

Accuracy	Segments	Branch
74.4%	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)))`
74.4%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
74.4%	2	`(cos.f64 th)`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes11.0ms (0.2%)

Memory

-12.3MiB live, 26.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

8 calls:

2.0ms	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)))
1.0ms	a2
1.0ms	a1

Results

Accuracy	Segments	Branch
64.4%	1	`a1`
64.4%	1	`(*.f64 a1 a1)`
64.4%	1	`a2`
64.4%	1	`(*.f64 a2 a2)`
64.4%	1	`th`
64.4%	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)))`
64.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
64.4%	1	`(cos.f64 th)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.005735294788432261	0.01996950288051296

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch30.0ms (0.4%)

Memory

18.4MiB live, 57.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-0.005735294788432261	0.01996950288051296

Samples

16.0ms

240×

valid

Compiler

Compiled 1 026 to 663 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (48.7% of total)

ival-div: 2.0ms (19.5% of total)

ival-sqrt: 2.0ms (19.5% of total)

ival-add: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify84.0ms (1.2%)

Memory

-27.3MiB live, 92.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	325
1	112	325
2	193	325
3	341	325
4	522	325
5	728	325
6	870	325
7	987	325
8	1051	325
9	1090	325
10	1110	325
11	1112	325

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 #s(approx (/ (neg a2) (/ -1 (cos th))) (.f64 (cos.f64 th) a2)) (sqrt.f64 (/.f64 (.f64 a2 a2) #s(literal 2 binary64)))))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th)))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/1152921504606846976 binary64)) (+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) (+.f64 #s(approx ( (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) #s(literal 2 binary64)))))))
(if (<=.f64 (cos.f64 th) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) (+.f64 #s(approx ( (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(+.f64 (.f64 (.f64 a2 a2) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (cos.f64 th))) (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
(+.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(+.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 #s(approx (/ (neg a2) (/ -1 (cos th))) (.f64 (cos.f64 th) a2)) (sqrt.f64 (/.f64 (.f64 a2 a2) #s(literal 2 binary64)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a2 a2) #s(literal 2 binary64))) #s(approx (/ (neg a2) (/ -1 (cos th))) (.f64 a2 (cos.f64 th)))) #s(approx ( (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2))
(+.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2) #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th)))
(+.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/1152921504606846976 binary64)) (+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) (+.f64 #s(approx ( (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) #s(literal 2 binary64)))))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/1152921504606846976 binary64)) (+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 (neg.f64 a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) #s(approx ( (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (+.f64 #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 (sqrt.f64 (/.f64 (.f64 a2 a2) #s(literal 2 binary64))) a2)) #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))))
(if (<=.f64 (cos.f64 th) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 a2 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) (+.f64 #s(approx ( (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(if (<=.f64 (cos.f64 th) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 (neg.f64 a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) #s(approx ( (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (+.f64 #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) #s(approx ( (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) #s(approx ( (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))

soundness1.2s (17%)

Memory

7.4MiB live, 993.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	339
1	258	315
2	1028	277
3	5273	264
0	8333	240
0	32	92
0	47	90
1	141	89
2	718	87
3	5074	87
0	8153	87
0	39	143
0	59	143
1	199	143
2	1321	141
0	8478	139
0	11	25
0	18	25
1	57	25
2	306	25
3	2203	25
0	9480	25
0	76	307
1	253	289
2	1055	253
3	5412	243
0	8088	225
0	202	931
1	692	877
2	3050	758
0	8195	705

Stop Event

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

Compiler

Compiled 1 029 to 472 computations (54.1% saved)

preprocess219.0ms (3.2%)

Memory: 35.6MiB live, 354.8MiB allocated
Remove: (abs th)
Compiler: Compiled 2 928 to 1 938 computations (33.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (17.1%)

explain192.0ms (2.8%)

preprocess173.0ms (2.5%)

eval0.0ms (0%)

prune10.0ms (0.1%)

simplify0.0ms (0%)

localize79.0ms (1.1%)

series13.0ms (0.2%)

simplify242.0ms (3.5%)

rewrite209.0ms (3%)

eval77.0ms (1.1%)

prune27.0ms (0.4%)

simplify0.0ms (0%)

localize205.0ms (3%)

series134.0ms (1.9%)

simplify211.0ms (3.1%)

rewrite156.0ms (2.3%)

eval123.0ms (1.8%)

prune34.0ms (0.5%)

simplify0.0ms (0%)

localize141.0ms (2.1%)

series13.0ms (0.2%)

simplify173.0ms (2.5%)

rewrite277.0ms (4%)

eval268.0ms (3.9%)

prune69.0ms (1%)

simplify0.0ms (0%)

localize173.0ms (2.5%)

series14.0ms (0.2%)

simplify201.0ms (2.9%)

rewrite87.0ms (1.3%)

eval68.0ms (1%)

prune62.0ms (0.9%)

regimes161.0ms (2.3%)

regimes134.0ms (1.9%)

regimes129.0ms (1.9%)

regimes106.0ms (1.5%)

regimes81.0ms (1.2%)

regimes82.0ms (1.2%)

regimes54.0ms (0.8%)

regimes5.0ms (0.1%)

regimes11.0ms (0.2%)

bsearch1.0ms (0%)

bsearch30.0ms (0.4%)

simplify84.0ms (1.2%)

soundness1.2s (17%)

preprocess219.0ms (3.2%)

end0.0ms (0%)

Profiling