Metrics for rsin B (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze389.0ms (3.6%)

Memory

7.4MiB live, 281.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	8
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	9
21.9%	21.8%	78%	0.1%	0%	0%	0%	10
21.9%	21.8%	78%	0.1%	0%	0%	0%	11
23.4%	23.4%	76.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.7s (15.1%)

Memory

50.2MiB live, 2 369.4MiB allocated

Samples

1.2s	5 773×	1	valid
164.0ms	2 483×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 982.0ms

ival-cos: 310.0ms (31.6% of total)

ival-sin: 252.0ms (25.7% of total)

adjust: 113.0ms (11.5% of total)

ival-mult: 113.0ms (11.5% of total)

ival-add: 100.0ms (10.2% of total)

ival-div: 85.0ms (8.7% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain126.0ms (1.2%)

Memory

16.3MiB live, 217.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
76	115	(-1443650.785310847 -1.392657759122771e-113 9.563961151730781e+63)	-	`(cos.f64 (+.f64 a b))`
0	0	-	-	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
0	0	-	-	`(+.f64 a b)`
0	0	-	-	`(sin.f64 b)`
0	0	-	-	`a`
0	0	-	-	`r`
0	0	-	-	`b`
0	0	-	-	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (+.f64 a b))`	sensitivity	191	2

Confusion

	Predicted +	Predicted -
+	76	0
-	115	65

Precision

0.39790575916230364

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	76	0	0
-	115	2	63

Precision?

0.39378238341968913

Recall?

1.0

Freqs

test

number	freq
0	65
1	191

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms	362×	1	valid
11.0ms	150×	0	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

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

ival-cos: 20.0ms (37.2% of total)

ival-sin: 13.0ms (24.2% of total)

adjust: 6.0ms (11.2% of total)

ival-mult: 6.0ms (11.2% of total)

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

ival-div: 4.0ms (7.4% of total)

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

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

preprocess102.0ms (0.9%)

Memory

-16.4MiB live, 61.6MiB allocated

Algorithm

1×	egg-herbie

Rules

654×	`times-frac`
520×	`associate-r`
518×	`unsub-neg`
466×	`distribute-rgt-in`
464×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	88
1	89	84
2	178	84
3	431	84
4	1079	84
5	2510	84
6	3268	84
7	3664	84
8	4244	84
9	4620	84
10	4632	84
11	4636	84
12	4636	84
13	4676	84
14	4692	84
15	4692	84
0	8	9
0	13	9
1	17	9
2	19	9
3	21	9
4	22	9
0	22	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))

Symmetry

(negabs r)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.4%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify3.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
6×	`lower-/.f32`
4×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	17	28
2	19	28
3	21	28
4	22	28
0	22	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a

Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a

localize44.0ms (0.4%)

Memory

6.4MiB live, 44.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 b)
accuracy	0.16015625	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	0.1953125	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy	16.27771053496727	(cos.f64 (+.f64 a b))

Samples

32.0ms	181×	1	valid
5.0ms	75×	0	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-cos: 8.0ms (32.2% of total)

ival-sin: 7.0ms (28.2% of total)

adjust: 3.0ms (12.1% of total)

ival-mult: 3.0ms (12.1% of total)

ival-add: 2.0ms (8.1% of total)

ival-div: 2.0ms (8.1% of total)

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

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

series23.0ms (0.2%)

Memory

-9.6MiB live, 30.3MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1/6 (pow b 2)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	r	@	0	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
3.0ms	b	@	0	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms	a	@	0	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms	a	@	inf	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
1.0ms	a	@	-inf	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))

simplify167.0ms (1.5%)

Memory

11.8MiB live, 170.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 408×	`lower-fma.f64`
9 408×	`lower-fma.f32`
5 356×	`lower-*.f64`
5 356×	`lower-*.f32`
2 876×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	1226
1	660	1174
2	2060	1116
3	7691	1116
0	8271	1075

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

Inputs
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(sin b)
(sin b)
(sin b)
(sin b)
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(sin b)
(sin b)
(sin b)
(sin b)
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))

Outputs
(/ (* r (sin b)) (cos b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a (.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)) a))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) a (neg.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 (sin.f64 b) (cos.f64 b)))))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (.f64 (neg.f64 a) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) a (neg.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 (sin.f64 b) (cos.f64 b))))))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(/ (* b r) (cos a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a)) (.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) b)) b (/.f64 r (cos.f64 a))) b)
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (.f64 (sin.f64 a) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)
b
(* b (+ 1 (* -1/6 (pow b 2))))
(.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))

rewrite167.0ms (1.5%)

Memory

-12.7MiB live, 180.9MiB allocated

Rules

6 400×	`lower-*.f32`
6 398×	`lower-*.f64`
4 812×	`lower-/.f32`
4 810×	`lower-/.f64`
3 770×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	13	22
1	44	22
2	234	22
3	1985	22
0	10212	22

Stop Event

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

Counts

4 → 160

Calls

Call 1

Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
(cos.f64 (+.f64 a b))

Outputs
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b)))
(.f64 (.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(.f64 (.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(.f64 (.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) r)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 (sin.f64 b) r))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(neg.f64 (*.f64 r (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) r))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
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(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)))) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))
(/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))
(fma.f64 (cos.f64 (/.f64 (.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (.f64 a a) (-.f64 b a))) (.f64 (sin.f64 (/.f64 (.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(fma.f64 (cos.f64 (.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (.f64 b (/.f64 b (-.f64 a b)))) (.f64 (sin.f64 (.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (.f64 (cos.f64 (.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (neg.f64 (.f64 b (/.f64 b (-.f64 a b)))))) (.f64 (sin.f64 (.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (neg.f64 (.f64 b (/.f64 b (-.f64 a b)))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a))))) (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a))))))
(-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b))))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (-.f64 a b)))
(cos.f64 (/.f64 (neg.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) (fma.f64 (-.f64 b a) b (.f64 a a))))
(cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))
(cos.f64 (+.f64 a b))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (.f64 a a) (-.f64 b a)))) (.f64 (sin.f64 (/.f64 (.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (.f64 a a) (-.f64 b a)))))
(+.f64 (.f64 (cos.f64 (.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (.f64 b (/.f64 b (-.f64 a b))))) (.f64 (sin.f64 (.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (.f64 b (/.f64 b (-.f64 a b))))))
(+.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))

eval31.0ms (0.3%)

Memory: 11.3MiB live, 49.0MiB allocated
Compiler: Compiled 4 900 to 741 computations (84.9% saved)

prune66.0ms (0.6%)

Memory

-13.9MiB live, 106.6MiB allocated

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	224	31	255
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	225	31	256

Accuracy

99.8%

Counts

256 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.3%	(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
	74.3%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	74.3%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	73.9%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
▶	74.4%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	74.3%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 (sin.f64 b) r))
	41.5%	(*.f64 r (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) #s(literal -1 binary64)))
	74.3%	(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	74.0%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))))
	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
▶	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	74.3%	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))))
	49.0%	(.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))))
▶	36.8%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
	57.6%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))))
▶	49.2%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
	57.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
	50.1%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
	57.9%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	59.6%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
	51.9%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	48.2%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
	48.0%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
	48.2%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
	74.3%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
▶	48.3%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	48.3%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)))
	40.0%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	57.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
	48.4%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b))
	59.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))

Compiler

Compiled 1 218 to 736 computations (39.6% saved)

simplify348.0ms (3.2%)

Memory

14.8MiB live, 91.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
cost-diff	6080	(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
cost-diff	128	(cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))
cost-diff	0	(+.f64 a b)
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(/.f64 r (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
cost-diff	0	(cos.f64 a)
cost-diff	0	(/.f64 b (cos.f64 a))
cost-diff	0	#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
cost-diff	0	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))

Rules

3 360×	`lower-fma.f32`
3 352×	`lower-fma.f64`
2 080×	`lower-*.f32`
2 058×	`lower-*.f64`
1 070×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	364
0	79	364
1	121	344
2	191	344
3	342	344
4	664	344
5	1128	344
6	1850	344
7	2806	344
8	4161	344
9	4666	344
10	5104	344
11	5200	344
12	5253	344
13	5829	344
14	6097	344
15	6130	344
16	6132	344
17	6132	344
18	6138	344
19	6138	344
20	6138	344
21	6262	344
22	6431	344
23	6439	344
24	6463	344
25	6492	344
26	6492	344
0	6492	344

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
b
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
r
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
(sin.f64 b)
b
(cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))
(/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a))
(*.f64 b b)
(.f64 (.f64 a a) a)
(*.f64 a a)
a
(neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))
(fma.f64 (-.f64 b a) b (*.f64 a a))
(-.f64 b a)
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
(-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a))
(.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(cos.f64 a)
a
#s(literal -1/2 binary64)
(sin.f64 a)

Outputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(neg.f64 (sin.f64 b))
(sin.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
b
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
r
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(sin.f64 b)
b
(cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))
(cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a))
(*.f64 b b)
(.f64 (.f64 a a) a)
(*.f64 a a)
a
(neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))
(fma.f64 (-.f64 b a) b (*.f64 a a))
(-.f64 b a)
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) b #s(literal -1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) b))))) r)
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) b #s(literal -1 binary64)) (cos.f64 a) (.f64 (sin.f64 a) b)))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
#s(approx (cos (+ a b)) (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) b #s(literal -1 binary64)) (cos.f64 a) (.f64 (sin.f64 a) b))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
(neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) b #s(literal -1 binary64)) (cos.f64 a) (.f64 (sin.f64 a) b)))
(-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b) (sin.f64 a)))
(.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 a))
(cos.f64 a)
a
#s(literal -1/2 binary64)
(sin.f64 a)

localize258.0ms (2.4%)

Memory

-9.1MiB live, 328.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
accuracy	0.16015625	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
accuracy	0.1953125	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
accuracy	32.92448468880373	#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
accuracy	0.1953125	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
accuracy	2.1757681767565895	(fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a))
accuracy	16.27771053496727	(cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))
accuracy	38.305619218251806	(/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
accuracy	0	(sin.f64 b)
accuracy	0.17578125	(/.f64 r (cos.f64 (+.f64 a b)))
accuracy	0.185878759768442	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
accuracy	16.27771053496727	(cos.f64 (+.f64 a b))
accuracy	0	(cos.f64 a)
accuracy	0.125	(/.f64 b (cos.f64 a))
accuracy	0.1953125	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
accuracy	33.19676849703406	#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
accuracy	0.11460878907376806	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy	0.15625	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy	0.16015625	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
accuracy	0.1953125	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))

Samples

184.0ms	187×	1	valid
20.0ms	69×	0	valid

Compiler

Compiled 329 to 41 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 55.0ms (35.6% of total)

ival-cos: 37.0ms (23.9% of total)

ival-sin: 18.0ms (11.6% of total)

ival-div: 14.0ms (9.1% of total)

adjust: 13.0ms (8.4% of total)

ival-add: 9.0ms (5.8% of total)

ival-sub: 4.0ms (2.6% of total)

ival-neg: 3.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series125.0ms (1.2%)

Memory

25.9MiB live, 174.2MiB allocated

Counts

23 → 600

Calls

Call 1

Inputs
#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())
#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())
#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())
#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())
#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) (patch (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) #<representation binary64>) () ())
#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())
#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())
#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())

Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor inf a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor inf a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor inf a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor inf a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
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#s(alt (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))) (taylor inf a) (#s(alt (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) (patch (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))) (taylor inf a) (#s(alt (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) (patch (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor inf a) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor inf a) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor inf a) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor inf a) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -1 (/ b a)) 1)) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1)) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1)) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor inf a) (#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3)))) (taylor inf a) (#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3)))) (taylor inf a) (#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3)))) (taylor inf a) (#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf a) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf a) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf a) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf a) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) (taylor 0 b) (#s(alt (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) (patch (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) (taylor 0 b) (#s(alt (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) (patch (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos (* -1 a))) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a))))) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos (* -1 a))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* b (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ 1 (cos (* -1 a))))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos (* -1 a)))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2)))) (/ 1 (cos (* -1 a))))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* 1/2 (/ 1 (cos (* -1 a)))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (cos (* -1 a))))))) (* 1/2 (/ 1 (cos (* -1 a))))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2)))) (/ 1 (cos (* -1 a))))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) (taylor 0 b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) (taylor 0 b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (sin a))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 a) (* -1 b)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 a) (* -1 b)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 a) (* -1 b)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor 0 b) (#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 3) (pow b 3)) (taylor 0 b) (#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 3) (pow b 3)) (taylor 0 b) (#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 3) (pow b 3)) (taylor 0 b) (#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor 0 b) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor 0 b) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor 0 b) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor 0 b) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor inf b) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor inf b) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor inf b) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor inf b) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) (patch (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) (patch (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) (patch (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) (patch (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow b 2) (cos a))) (taylor inf b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) (taylor inf b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) (taylor inf b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) (taylor inf b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
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#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
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#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (* b (cos a))) (taylor inf b) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf b) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf b) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
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#s(alt (/ b (cos a)) (taylor -inf b) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor -inf b) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor -inf b) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ())
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#s(alt (/ r (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
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#s(alt b (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow b 2) (cos a))) (taylor -inf b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) (taylor -inf b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) (taylor -inf b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (/ a b)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b) (pow a 2))) b))) b))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (patch (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) (taylor -inf b) (#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) (taylor -inf b) (#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) (taylor -inf b) (#s(alt (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (patch (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf b) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf b) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf b) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf b) (#s(alt (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (patch (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (/ r (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	a	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a))))) (* r (/ (sin b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a))))))) (/ (sin b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))))) (+ (* (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* (neg (sin b)) (sin a)) (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))) (+ (* (* b b) b) (* (* a a) a)) (cos (+ a b)) (* (* (cos a) -1/2) b))
18.0ms	b	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a))))) (* r (/ (sin b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a))))))) (/ (sin b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))))) (+ (* (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* (neg (sin b)) (sin a)) (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))) (+ (* (* b b) b) (* (* a a) a)) (cos (+ a b)) (* (* (cos a) -1/2) b))
10.0ms	r	@	0	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a))))) (* r (/ (sin b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a))))))) (/ (sin b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))))) (+ (* (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* (neg (sin b)) (sin a)) (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))) (+ (* (* b b) b) (* (* a a) a)) (cos (+ a b)) (* (* (cos a) -1/2) b))
8.0ms	a	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a))))) (* r (/ (sin b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a))))))) (/ (sin b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))))) (+ (* (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* (neg (sin b)) (sin a)) (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))) (+ (* (* b b) b) (* (* a a) a)) (cos (+ a b)) (* (* (cos a) -1/2) b))
7.0ms	b	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a))))) (* r (/ (sin b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a))))))) (/ (sin b) (cos (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))))) (+ (* (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* (neg (sin b)) (sin a)) (/ (+ (* (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))) (+ (* (* b b) b) (* (* a a) a)) (cos (+ a b)) (* (* (cos a) -1/2) b))

simplify306.0ms (2.8%)

Memory

3.5MiB live, 245.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 906×	`lower-fma.f64`
8 906×	`lower-fma.f32`
6 320×	`lower-*.f64`
6 320×	`lower-*.f32`
3 180×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	722	8843
1	2282	8280
2	7985	8178
0	8171	7905

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 592

Calls

Call 1

Inputs
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
b
(+ a b)
(+ a b)
(+ a b)
(cos (* -1 b))
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b))))))
(/ (* r (sin b)) (cos (* -1 b)))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(/ (sin b) (cos (* -1 b)))
(+ (* -1 (/ (* a (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (/ (sin b) (cos (* -1 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(* -1 b)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(pow b 3)
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (sin b) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (sin b) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (sin b) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (sin b) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1))
(pow a 3)
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(/ (sin b) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(/ (sin b) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(/ (sin b) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(/ (sin b) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 a)
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a)))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a) (pow b 2))) a))) a)))))
(pow a 3)
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
a
(+ a b)
(+ a b)
(+ a b)
(cos (* -1 a))
(+ (cos (* -1 a)) (* b (sin (* -1 a))))
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))
(/ (* b r) (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))
(/ b (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ 1 (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos (* -1 a)))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2)))) (/ 1 (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* 1/2 (/ 1 (cos (* -1 a)))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (cos (* -1 a))))))) (* 1/2 (/ 1 (cos (* -1 a))))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2)))) (/ 1 (cos (* -1 a)))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(* -1 a)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(pow a 3)
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (sin b) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (sin b) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (sin b) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (sin b) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 b)
(* b (- (* -1 (/ a b)) 1))
(* b (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b))))
(* b (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2)))))))
(pow b 3)
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (sin b) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (sin b) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (sin b) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (sin b) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 b)
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)))))
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b) (pow a 2))) b))) b)))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))

Outputs
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b))))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64))) a (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)))))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) a (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (-.f64 (.f64 (.f64 a (cos.f64 b)) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 (fma.f64 (.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) a (cos.f64 b))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b))))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64))) a (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)))))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
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b
(+ b (* 1/2 (* (pow a 2) b)))
(fma.f64 (.f64 (.f64 a a) b) #s(literal 1/2 binary64) b)
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(fma.f64 (fma.f64 (.f64 b #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) b)) (.f64 a a) b)
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
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(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
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(/ r (cos b))
(/.f64 r (cos.f64 b))
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(cos b)
(cos.f64 b)
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b
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(cos (* -1 b))
(cos.f64 b)
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
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(/ (* r (sin b)) (cos (* -1 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
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(/ (sin b) (cos (* -1 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (* -1 (/ (* a (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (/ (sin b) (cos (* -1 b))))
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(+ 1 (* -1/2 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))
(fma.f64 (neg.f64 a) b (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))
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(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a b) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 b b) #s(literal -1/2 binary64))) a (neg.f64 b)) a (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
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(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
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(* -1 (* a (sin b)))
(*.f64 (neg.f64 a) (sin.f64 b))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
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(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
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a
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(/ b (cos a))
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(sin b)
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(.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))
(* -1/2 (* b (cos a)))
(.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))

rewrite285.0ms (2.6%)

Memory

-1.3MiB live, 320.9MiB allocated

Rules

5 262×	`lower-fma.f32`
5 254×	`lower-fma.f64`
4 554×	`lower-/.f32`
4 544×	`lower-/.f64`
4 248×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	285
0	79	263
1	254	194
2	1663	194
0	8388	194

Stop Event

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

Counts

23 → 805

Calls

Call 1

Inputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
(cos.f64 a)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
(.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)

Outputs
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 r (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))))))
(.f64 (.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(.f64 (.f64 (neg.f64 (sin.f64 b)) r) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 (.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(.f64 (.f64 r (neg.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 (neg.f64 (.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 r (neg.f64 (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)) (.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 b b)) b (.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 b b) b))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))) (.f64 (fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 b b)) b (.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (*.f64 b b) b))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))) (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 b b)) b (.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 b b) b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 a b))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 b b) b))) (.f64 (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))) (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 b b)) b (.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b))))))
(/.f64 (neg.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) (fma.f64 (-.f64 b a) b (.f64 a a)))
(/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(neg.f64 (+.f64 a b))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)))) (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 a b))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))
(-.f64 #s(literal 0 binary64) (+.f64 a b))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 a b)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 a (+.f64 a b) (.f64 b b))) (/.f64 (.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)) (-.f64 b a)))
(.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a a) a) (.f64 (*.f64 b b) b))))
(.f64 (fma.f64 b b (-.f64 (.f64 a a) (*.f64 a b))) (+.f64 a b))
(.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 b b) b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 b b)) b (.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (*.f64 b b) b)))))))
(.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a) (-.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 (.f64 (.f64 b b) b) a) (.f64 a a))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 b b)) b (.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (*.f64 b b) b))))))
(.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (+.f64 a b))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (/.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)))) (neg.f64 (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))))) (neg.f64 (neg.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 b b) b))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 b b)) b (.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)) (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)))) (.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)) (.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b))) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)))) (neg.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 b b) b)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a) (-.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 (.f64 (.f64 b b) b) a) (*.f64 a a))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 b b) b)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 b b)) b (.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b))))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a) (-.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 (.f64 (.f64 b b) b) a) (.f64 a a)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (*.f64 b b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 b b) b))) (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a) (-.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 (.f64 (.f64 b b) b) a) (*.f64 a a)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 b b) b))) (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 b b)) b (.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)))))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (.f64 (.f64 b b) b))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (.f64 (.f64 a a) a))
(fma.f64 (.f64 a a) a (.f64 (*.f64 b b) b))
(fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a))
(fma.f64 a (.f64 a a) (.f64 (*.f64 b b) b))
(fma.f64 b (.f64 b b) (.f64 (*.f64 a a) a))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b))) (/.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))))
(+.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a))
(+.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)))
(.f64 (.f64 b (cos.f64 a)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) b) (cos.f64 a))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b))
(.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) b))
(.f64 b (.f64 #s(literal -1/2 binary64) (cos.f64 a)))

eval376.0ms (3.4%)

Memory: -8.3MiB live, 423.5MiB allocated
Compiler: Compiled 37 296 to 2 796 computations (92.5% saved)

prune399.0ms (3.7%)

Memory

7.7MiB live, 693.4MiB allocated

Pruning

67 alts after pruning (64 fresh and 3 done)

	Pruned	Kept	Total
New	1 438	55	1 493
Fresh	17	9	26
Picked	2	3	5
Done	0	0	0
Total	1 457	67	1 524

Accuracy

100.0%

Counts

1 524 → 67

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.3%	(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
▶	74.3%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	74.3%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	74.3%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	73.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
	73.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (sin.f64 b)))
	48.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))) (sin.f64 b)) r))
	73.9%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	98.7%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
▶	74.4%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	99.5%	(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
▶	99.6%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))
	98.7%	(.f64 (/.f64 r (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 a)) (neg.f64 (sin.f64 b))))))) (sin.f64 b))
	98.7%	(.f64 (/.f64 r (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))))))
	98.7%	(.f64 (/.f64 r (.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
	65.9%	(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
✓	74.4%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	48.2%	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
	48.1%	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)))
	48.2%	(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
	23.2%	(.f64 (/.f64 r (cos.f64 (.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (-.f64 b a) b (.f64 (neg.f64 a) a)))) (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a))))) (sin.f64 b))
	32.2%	(.f64 (/.f64 r (cos.f64 (.f64 (/.f64 (+.f64 a b) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (*.f64 b b))))))) (sin.f64 b))
	61.8%	(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
	63.7%	(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
	57.4%	(.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 a (cos.f64 b)) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))) (sin.f64 b))
	50.2%	(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) (sin.f64 b))
	57.8%	(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) (sin.f64 b))
	59.5%	(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
	52.0%	(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
	74.3%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b))
	74.3%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
	74.3%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 (sin.f64 b) r))
	46.2%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
	41.5%	(*.f64 r (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) #s(literal -1 binary64)))
	74.3%	(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	74.0%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	59.8%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
	63.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
	58.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	57.9%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
▶	57.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	61.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	98.8%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
	35.5%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(approx (+ ( (* b b) b) (* (* a a) a)) (.f64 (.f64 b b) b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
	31.6%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(approx (+ ( (* b b) b) (* (* a a) a)) (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
	19.4%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 a b)))) #s(literal -1 binary64))))))
	61.9%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ ( (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 0 binary64)) (/.f64 b a)) #s(literal 1 binary64)) a)))))
	57.9%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	59.6%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
	51.9%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
	31.6%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 b b) #s(literal -1/2 binary64)) a (neg.f64 b)) a (fma.f64 (.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
	34.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	3.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (.f64 (.f64 (*.f64 (cos.f64 a) b) b) #s(literal -1/2 binary64))))))
	48.0%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
	74.3%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
✓	48.3%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	32.2%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
	32.1%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
	32.3%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
▶	33.6%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
	48.2%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
	48.2%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))))
	48.3%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
	40.0%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	48.3%	#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
	99.5%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))

Compiler

Compiled 2 925 to 1 704 computations (41.7% saved)

simplify140.0ms (1.3%)

Memory

-10.2MiB live, 28.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (sin.f64 b) r)
cost-diff	0	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
cost-diff	0	#s(approx (cos a) #s(literal 1 binary64))
cost-diff	0	(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
cost-diff	0	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
cost-diff	0	(cos.f64 b)
cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
cost-diff	0	(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
cost-diff	0	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))

Rules

1 608×	`lower-fma.f32`
1 602×	`lower-fma.f64`
1 230×	`lower-*.f32`
1 214×	`lower-*.f64`
776×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	269
0	66	261
1	104	261
2	161	261
3	236	261
4	403	261
5	651	261
6	1397	261
7	2288	261
8	2862	261
9	3270	261
10	3486	261
11	3961	261
12	4443	261
13	5092	261
14	5098	261
15	5107	261
16	5110	261
17	5110	261
0	5110	261

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
r
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(cos.f64 b)
b
(cos.f64 a)
a
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(sin.f64 a)
(neg.f64 (sin.f64 b))
(sin.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
b
#s(approx (cos a) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) r)
r
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 a a)
a
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)

Outputs
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
r
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
b
(cos.f64 a)
a
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(sin.f64 a)
(neg.f64 (sin.f64 b))
(sin.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
b
#s(approx (cos a) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
r
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) r)
r
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (sin.f64 b) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
(*.f64 a a)
a
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)

localize236.0ms (2.2%)

Memory

3.8MiB live, 272.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15625	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy	0.16015625	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
accuracy	0.1953125	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
accuracy	30.721190512582083	#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.16015625	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
accuracy	0.1953125	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
accuracy	16.27771053496727	(cos.f64 (+.f64 a b))
accuracy	0	(sin.f64 b)
accuracy	0.09765625	(*.f64 (sin.f64 b) r)
accuracy	0.26009750976844204	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
accuracy	16.27771053496727	(cos.f64 (+.f64 a b))
accuracy	0.125	(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
accuracy	0.1953125	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
accuracy	28.529611751587645	#s(approx (cos a) #s(literal 1 binary64))
accuracy	33.19676849703406	#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
accuracy	0.11460878907376806	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
accuracy	0.15625	(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
accuracy	0.17578125	(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
accuracy	0.185878759768442	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))

Samples

154.0ms	181×	1	valid
21.0ms	75×	0	valid

Compiler

Compiled 232 to 34 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-mult: 51.0ms (37.1% of total)

ival-cos: 25.0ms (18.2% of total)

ival-sin: 20.0ms (14.5% of total)

ival-div: 17.0ms (12.4% of total)

adjust: 14.0ms (10.2% of total)

ival-add: 7.0ms (5.1% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.4%)

Memory

21.7MiB live, 94.4MiB allocated

Counts

21 → 516

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())
#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())
#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 b) r) (patch (.f64 (sin.f64 b) r) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())
#s(alt #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos b)) (taylor 0 a) (#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) (taylor 0 a) (#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) (taylor 0 a) (#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ b (* 1/2 (* (pow a 2) b))) (taylor 0 a) (#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) (taylor 0 a) (#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (sin a))) (taylor 0 b) (#s(alt (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) (taylor 0 b) (#s(alt (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) (taylor 0 b) (#s(alt (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) (taylor 0 b) (#s(alt (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (sin a))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ())
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#s(alt (cos b) (taylor inf b) (#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor inf b) (#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor inf b) (#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor inf b) (#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor inf b) (#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor inf b) (#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor inf b) (#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor inf b) (#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (.f64 (sin.f64 b) r) (patch (.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (.f64 (sin.f64 b) r) (patch (.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (.f64 (sin.f64 b) r) (patch (.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (.f64 (sin.f64 b) r) (patch (.f64 (sin.f64 b) r) #<representation binary64>) () ())) ())
#s(alt r (taylor -inf r) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())) ())
#s(alt r (taylor -inf r) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())) ())
#s(alt r (taylor -inf r) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())) ())
#s(alt r (taylor -inf r) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	((* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (sin b) (cos (+ a b)) (/ 1 (/ 1 r)) (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (/ (sin b) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (cos a) (* (neg (sin b)) (sin a)))
4.0ms	r	@	-inf	((* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (sin b) (cos (+ a b)) (/ 1 (/ 1 r)) (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (/ (sin b) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (cos a) (* (neg (sin b)) (sin a)))
4.0ms	r	@	inf	((* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (sin b) (cos (+ a b)) (/ 1 (/ 1 r)) (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (/ (sin b) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (cos a) (* (neg (sin b)) (sin a)))
3.0ms	b	@	-inf	((* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (sin b) (cos (+ a b)) (/ 1 (/ 1 r)) (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (/ (sin b) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (cos a) (* (neg (sin b)) (sin a)))
3.0ms	r	@	0	((* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (sin b) (cos (+ a b)) (/ 1 (/ 1 r)) (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (/ (sin b) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (cos a) (* (neg (sin b)) (sin a)))

simplify196.0ms (1.8%)

Memory

-15.0MiB live, 249.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 680×	`lower-fma.f64`
8 680×	`lower-fma.f32`
7 272×	`lower-*.f64`
7 272×	`lower-*.f32`
2 720×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	7230
1	1244	6817
2	4158	6736
0	8436	6512

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 502

Calls

Call 1

Inputs
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
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(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))

Outputs
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 r (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b)))) a)) a))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(fma.f64 (*.f64 (sin.f64 b) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b)) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) a)) a (/.f64 r (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 r (cos.f64 b)))) (cos.f64 b))) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a)) a (/.f64 r (cos.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) a (cos.f64 b))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 r (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b)))) a)) a))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
b
(+ b (* 1/2 (* (pow a 2) b)))
(fma.f64 (.f64 (.f64 a a) b) #s(literal 1/2 binary64) b)
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (.f64 a a) b)
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 b #s(literal 7/360 binary64) (.f64 b #s(literal -5/48 binary64))) a) (neg.f64 a) (.f64 #s(literal 5/24 binary64) b)) (.f64 a a) (.f64 #s(literal 1/2 binary64) b)) (.f64 a a) b)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 r (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b)))) a)) a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) a (cos.f64 b))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
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(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))

rewrite256.0ms (2.3%)

Memory

-3.5MiB live, 302.7MiB allocated

Rules

4 650×	`lower-/.f32`
4 636×	`lower-/.f64`
4 482×	`lower-*.f32`
4 466×	`lower-*.f64`
3 156×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	209
0	66	222
1	214	180
2	1290	180
0	8482	180

Stop Event

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

Counts

21 → 843

Calls

Call 1

Inputs
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(cos.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
#s(approx (cos a) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
(cos.f64 (+.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))

Outputs
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (.f64 (neg.f64 r) (sin.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (neg.f64 r))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (.f64 (sin.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))))
(*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))))
(.f64 (/.f64 r (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 r (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) r)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 (sin.f64 b) r))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (neg.f64 r))
(.f64 (.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #s(literal 1 binary64))
(.f64 (.f64 (neg.f64 r) (sin.f64 b)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 r) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r)))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) r)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(.f64 (.f64 (sin.f64 b) r) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 a b))))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 (.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)))) (.f64 (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (sin.f64 b))) (sin.f64 a))))))
(/.f64 (.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (neg.f64 (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))))
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(/.f64 (-.f64 (.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (fma.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))))))
(/.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))
(/.f64 (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (fma.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))) (-.f64 (pow.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(neg.f64 (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))))
(fma.f64 (.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))
(fma.f64 (.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
(fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 b) (sin.f64 a)) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))
(fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))) (/.f64 (.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
(-.f64 (/.f64 (.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))))
(-.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (/.f64 (.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))))
(+.f64 (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))
(.f64 (.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(/.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))
(.f64 (.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(/.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))))
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))

eval278.0ms (2.6%)

Memory: 2.3MiB live, 394.2MiB allocated
Compiler: Compiled 37 737 to 2 378 computations (93.7% saved)

prune451.0ms (4.1%)

Memory

6.5MiB live, 682.6MiB allocated

Pruning

81 alts after pruning (76 fresh and 5 done)

	Pruned	Kept	Total
New	1 520	40	1 560
Fresh	23	36	59
Picked	3	2	5
Done	0	3	3
Total	1 546	81	1 627

Accuracy

100.0%

Counts

1 627 → 81

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.2%	(/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 a b)))
	74.3%	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) r))
	74.3%	(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
	44.1%	(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
	99.5%	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))
	99.5%	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	57.8%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	59.5%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
	51.9%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
	48.1%	(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
	48.2%	(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
	74.3%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	74.3%	(/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (cos.f64 (+.f64 a b)))))
	33.5%	(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
	48.0%	(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	48.2%	(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
	48.3%	(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	74.3%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	73.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
	73.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (sin.f64 b)))
	48.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))) (sin.f64 b)) r))
	33.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
	73.9%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	73.8%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
	99.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	98.8%	(.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))))) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	74.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	70.0%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r)))
	59.5%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
▶	51.9%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	33.5%	(*.f64 (/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))))
	99.2%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (neg.f64 (sin.f64 b))))))) (sin.f64 b))
▶	99.6%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b))
	53.5%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) #s(literal 0 binary64)))))
	68.8%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (neg.f64 (sin.f64 b))))
	99.5%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
✓	99.6%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))
	53.4%	(.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))
	98.7%	(.f64 (/.f64 r (.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
	65.9%	(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
✓	74.4%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	23.2%	(.f64 (/.f64 r (cos.f64 (.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (-.f64 b a) b (.f64 (neg.f64 a) a)))) (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a))))) (sin.f64 b))
	32.2%	(.f64 (/.f64 r (cos.f64 (.f64 (/.f64 (+.f64 a b) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (*.f64 b b))))))) (sin.f64 b))
	61.8%	(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
	63.7%	(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
	50.2%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) (sin.f64 b))
▶	59.5%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b))
	52.0%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a))) (sin.f64 b))
	74.3%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	74.3%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b))
	74.3%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 (sin.f64 b) r))
	46.2%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
	48.2%	(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	74.3%	(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	59.8%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
	58.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	57.9%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	56.9%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (* (neg (sin b)) (sin a)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
	57.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
	61.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	98.8%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
	35.5%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(approx (+ ( (* b b) b) (* (* a a) a)) (.f64 (.f64 b b) b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
	31.6%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(approx (+ ( (* b b) b) (* (* a a) a)) (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
	19.4%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 a b)))) #s(literal -1 binary64))))))
	61.9%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ ( (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 0 binary64)) (/.f64 b a)) #s(literal 1 binary64)) a)))))
	59.6%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
	51.9%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
	34.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	3.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (.f64 (.f64 (*.f64 (cos.f64 a) b) b) #s(literal -1/2 binary64))))))
	48.0%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
✓	48.3%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	32.2%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
	32.1%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
	32.3%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
✓	33.6%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
	48.2%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
▶	33.6%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
	17.6%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))))
	40.0%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	48.3%	#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))

Compiler

Compiled 3 184 to 1 950 computations (38.8% saved)

simplify96.0ms (0.9%)

Memory

-10.4MiB live, 102.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r)))
cost-diff	12800	(exp.f64 (log.f64 r))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))
cost-diff	0	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
cost-diff	0	(cos.f64 b)
cost-diff	0	#s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))
cost-diff	0	(/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
cost-diff	0	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b))
cost-diff	0	(/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)
cost-diff	0	#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))
cost-diff	0	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))
cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
cost-diff	0	(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
cost-diff	6336	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b))

Rules

2 374×	`lower-fma.f32`
2 372×	`lower-fma.f64`
2 086×	`lower-*.f32`
2 074×	`lower-*.f64`
1 636×	`div-sub`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	45	288
0	74	249
1	117	249
2	219	243
3	407	243
4	808	243
5	1238	240
6	2443	240
7	3765	240
8	5261	240
9	7012	240
10	7887	240
0	8007	240

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
r
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
(cos.f64 b)
b
(cos.f64 a)
a
(*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(sin.f64 a)
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(sin.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))
#s(literal 1 binary64)
(/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)
#s(approx (cos a) #s(literal 1 binary64))
b
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b))
(/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
r
#s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))
(cos.f64 b)
b
(sin.f64 b)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (cos.f64 a))
(cos.f64 a)
a
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) r)
r
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(exp.f64 (log.f64 r))
(log.f64 r)
r

Outputs
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b))
(/.f64 r (fma.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (cos.f64 b) (neg.f64 (sin.f64 a))))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
r
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
b
(cos.f64 a)
a
(*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(sin.f64 a)
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(neg.f64 (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(sin.f64 b)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(sin.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)
#s(approx (cos a) #s(literal 1 binary64))
b
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
(/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
r
#s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))
(cos.f64 b)
b
(sin.f64 b)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (cos.f64 a))
(cos.f64 a)
a
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
r
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) r)
r
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(exp.f64 (log.f64 r))
r
(log.f64 r)
r

localize231.0ms (2.1%)

Memory

37.0MiB live, 344.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	0.1953125	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r)))
accuracy	5.727406132963857	(exp.f64 (log.f64 r))
accuracy	16.27771053496727	(cos.f64 (+.f64 a b))
accuracy	0.16015625	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
accuracy	0.1953125	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
accuracy	30.896843944456126	#s(approx (cos (+ a b)) (cos.f64 a))
accuracy	0.00390625	(cos.f64 b)
accuracy	0.17578125	(/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
accuracy	0.185878759768442	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b))
accuracy	29.03029545253137	#s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))
accuracy	0.1953125	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
accuracy	0.2265625	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))
accuracy	28.529611751587645	#s(approx (cos a) #s(literal 1 binary64))
accuracy	33.19676849703406	#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))
accuracy	0.15625	(*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
accuracy	0.17578125	(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
accuracy	0.185878759768442	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))

Samples

178.0ms	181×	1	valid
25.0ms	75×	0	valid

Compiler

Compiled 251 to 35 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-cos: 47.0ms (29% of total)

ival-mult: 43.0ms (26.5% of total)

ival-div: 29.0ms (17.9% of total)

ival-sin: 13.0ms (8% of total)

adjust: 11.0ms (6.8% of total)

ival-add: 6.0ms (3.7% of total)

ival-exp: 5.0ms (3.1% of total)

ival-log: 5.0ms (3.1% of total)

ival-neg: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.5%)

Memory

-37.6MiB live, 98.6MiB allocated

Counts

23 → 564

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ())
#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())
#s(alt (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) (patch (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (patch (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b)) (patch (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (patch #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (exp.f64 (log.f64 r)) (patch (exp.f64 (log.f64 r)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))) (patch (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))) #<representation binary64>) () ())
#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cos (+ a b)) (cos.f64 a)) (patch #s(approx (cos (+ a b)) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b)) (patch (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos b)) (taylor 0 a) (#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) (taylor 0 a) (#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) (taylor 0 a) (#s(alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (patch (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* 1/2 (* (pow a 2) b))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b)) (patch (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ())
#s(alt r (taylor -inf r) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())) ())
#s(alt r (taylor -inf r) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())) ())
#s(alt r (taylor -inf r) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())) ())
#s(alt r (taylor -inf r) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) #<representation binary64>) () ())) ())
#s(alt r (taylor -inf r) (#s(alt (exp.f64 (log.f64 r)) (patch (exp.f64 (log.f64 r)) #<representation binary64>) () ())) ())
#s(alt r (taylor -inf r) (#s(alt (exp.f64 (log.f64 r)) (patch (exp.f64 (log.f64 r)) #<representation binary64>) () ())) ())
#s(alt r (taylor -inf r) (#s(alt (exp.f64 (log.f64 r)) (patch (exp.f64 (log.f64 r)) #<representation binary64>) () ())) ())
#s(alt r (taylor -inf r) (#s(alt (exp.f64 (log.f64 r)) (patch (exp.f64 (log.f64 r)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	a	@	inf	((* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b))))))) (sin b)) (/ 1 (/ 1 (sin b))) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b))))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b)))))) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos b) (/ 1 (/ 1 r)) (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (/ (sin b) (cos (+ a b))) (sin b) (exp (log r)) (* (/ (sin b) (cos (+ a b))) (exp (log r))) (/ (sin b) (cos (+ a b))) (* (sin a) (neg (/ 1 (/ 1 (sin b))))) (cos a) (cos (+ a b)) (cos (+ a b)))
4.0ms	r	@	-inf	((* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b))))))) (sin b)) (/ 1 (/ 1 (sin b))) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b))))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b)))))) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos b) (/ 1 (/ 1 r)) (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (/ (sin b) (cos (+ a b))) (sin b) (exp (log r)) (* (/ (sin b) (cos (+ a b))) (exp (log r))) (/ (sin b) (cos (+ a b))) (* (sin a) (neg (/ 1 (/ 1 (sin b))))) (cos a) (cos (+ a b)) (cos (+ a b)))
3.0ms	r	@	inf	((* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b))))))) (sin b)) (/ 1 (/ 1 (sin b))) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b))))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b)))))) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos b) (/ 1 (/ 1 r)) (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (/ (sin b) (cos (+ a b))) (sin b) (exp (log r)) (* (/ (sin b) (cos (+ a b))) (exp (log r))) (/ (sin b) (cos (+ a b))) (* (sin a) (neg (/ 1 (/ 1 (sin b))))) (cos a) (cos (+ a b)) (cos (+ a b)))
3.0ms	r	@	0	((* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b))))))) (sin b)) (/ 1 (/ 1 (sin b))) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b))))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b)))))) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos b) (/ 1 (/ 1 r)) (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (/ (sin b) (cos (+ a b))) (sin b) (exp (log r)) (* (/ (sin b) (cos (+ a b))) (exp (log r))) (/ (sin b) (cos (+ a b))) (* (sin a) (neg (/ 1 (/ 1 (sin b))))) (cos a) (cos (+ a b)) (cos (+ a b)))
3.0ms	b	@	-inf	((* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b))))))) (sin b)) (/ 1 (/ 1 (sin b))) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b))))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b)))))) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (* (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b))))) (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos b) (/ 1 (/ 1 r)) (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (/ (sin b) (cos (+ a b))) (sin b) (exp (log r)) (* (/ (sin b) (cos (+ a b))) (exp (log r))) (/ (sin b) (cos (+ a b))) (* (sin a) (neg (/ 1 (/ 1 (sin b))))) (cos a) (cos (+ a b)) (cos (+ a b)))

simplify177.0ms (1.6%)

Memory

16.5MiB live, 327.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 606×	`lower-fma.f64`
8 606×	`lower-fma.f32`
7 254×	`lower-*.f64`
7 254×	`lower-*.f32`
2 648×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	7714
1	1222	7289
2	4043	7198
0	8409	6962

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 537

Calls

Call 1

Inputs
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ 1 b)
(+ (* -1/2 (/ (pow a 2) b)) (/ 1 b))
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) b)) (* 1/2 (/ 1 b)))) (/ 1 b))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) b)) (* 1/24 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ 1 b))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
1
(+ 1 (* -1/2 (pow a 2)))
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(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
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(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos b)
(cos b)
(cos b)
(cos b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))

Outputs
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 r (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b)))) a)) a))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(fma.f64 (*.f64 (sin.f64 b) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b)) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) a)) a (/.f64 r (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 r (cos.f64 b)))) (cos.f64 b))) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a)) a (/.f64 r (cos.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) a (cos.f64 b))
b
(+ b (* 1/2 (* (pow a 2) b)))
(fma.f64 (.f64 (.f64 a a) b) #s(literal 1/2 binary64) b)
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (.f64 a a) b)
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 b #s(literal 7/360 binary64) (.f64 b #s(literal -5/48 binary64))) a) (neg.f64 a) (.f64 #s(literal 5/24 binary64) b)) (.f64 a a) (.f64 #s(literal 1/2 binary64) b)) (.f64 a a) b)
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) (/.f64 r (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b)))) a)) a))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1/2 (/ (pow a 2) b)) (/ 1 b))
(fma.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b))
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) b)) (* 1/2 (/ 1 b)))) (/ 1 b))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) b)) (* 1/24 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ 1 b))
(fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (sin.f64 b))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
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b
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(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
r
r
r
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))

rewrite186.0ms (1.7%)

Memory

-14.0MiB live, 287.2MiB allocated

Rules

5 050×	`lower-fma.f32`
5 048×	`lower-fma.f64`
4 724×	`lower-*.f32`
4 712×	`lower-*.f64`
3 192×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	239
0	74	218
1	228	156
2	1369	156
0	8455	156

Stop Event

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

Counts

23 → 1 089

Calls

Call 1

Inputs
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b))
(/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))
(cos.f64 b)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))
(sin.f64 b)
(exp.f64 (log.f64 r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos (+ a b)) (cos.f64 a))
(cos.f64 (+.f64 a b))

Outputs
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal 1/2 binary64))) (pow.f64 r #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 a b)))
(.f64 (.f64 (sin.f64 b) (/.f64 r (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 a b)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (neg.f64 r))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) r)
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))
(fma.f64 (.f64 (.f64 (sin.f64 a) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (.f64 (.f64 (sin.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (.f64 (.f64 (sin.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (.f64 (neg.f64 (sin.f64 a)) #s(literal -1 binary64)) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (.f64 (neg.f64 (sin.f64 a)) #s(literal 1 binary64)) (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (sin.f64 a) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (/.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 (/.f64 (.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (.f64 b b) (-.f64 a b))) (.f64 (sin.f64 (/.f64 (.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b)))))
(fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal -1 binary64) (.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (sin.f64 a) #s(literal 1 binary64)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.f64 (fma.f64 (cos.f64 a) (cos.f64 b) #s(literal 0 binary64)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))) (/.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 (+.f64 a b))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (.f64 b b) (-.f64 a b)))) (.f64 (sin.f64 (/.f64 (.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (.f64 b b) (-.f64 a b)))))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b)))))
(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))

eval442.0ms (4.1%)

Memory: 6.3MiB live, 346.8MiB allocated
Compiler: Compiled 35 943 to 3 164 computations (91.2% saved)

prune503.0ms (4.6%)

Memory

26.5MiB live, 754.3MiB allocated

Pruning

97 alts after pruning (89 fresh and 8 done)

	Pruned	Kept	Total
New	1 746	49	1 795
Fresh	31	40	71
Picked	2	3	5
Done	0	5	5
Total	1 779	97	1 876

Accuracy

100.0%

Counts

1 876 → 97

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.2%	(/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 a b)))
	74.3%	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) r))
	59.4%	(/.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
	44.1%	(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
	99.5%	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))
	99.5%	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	59.5%	(/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
	51.9%	(/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a)))
	57.8%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	59.4%	(/.f64 (sin.f64 b) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)) r))
	51.9%	(/.f64 (sin.f64 b) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a)) r))
	74.3%	(/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (cos.f64 (+.f64 a b)))))
	33.5%	(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
	48.2%	(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
	48.3%	(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	74.3%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	59.4%	(/.f64 r (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
	59.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (sin.f64 b)) r))
	48.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))) (sin.f64 b)) r))
	33.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
	59.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
	51.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
	31.9%	(.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	22.1%	(.f64 (/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	99.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	74.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	69.9%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))))
	59.6%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) r)
	51.9%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a))) r)
✓	51.9%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	49.5%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (exp.f64 (log.f64 r)))
	99.5%	(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) (sin.f64 b))
	49.6%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	68.8%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (neg.f64 (sin.f64 b))))
	99.5%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
✓	99.6%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))
	53.4%	(.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b))
	53.4%	(.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))
	98.8%	(.f64 (/.f64 r (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
	99.4%	(.f64 (/.f64 r (/.f64 (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
	65.9%	(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
✓	74.4%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	32.2%	(.f64 (/.f64 r (cos.f64 (.f64 (/.f64 (+.f64 a b) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (*.f64 b b))))))) (sin.f64 b))
	63.7%	(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
	50.2%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b)))))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) (sin.f64 b))
	52.0%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b)))))) (cos.f64 a))) (sin.f64 b))
	37.6%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
	28.5%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) #s(literal 0 binary64))))
	43.9%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (neg.f64 (sin.f64 b))))
✓	59.5%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b))
	33.2%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
	33.5%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
	34.1%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
	34.1%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
	34.1%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
	38.0%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
	51.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	59.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))))) (sin.f64 b))
	51.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a)) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	59.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (*.f64 (sin.f64 b) r))
	51.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a))) (*.f64 (sin.f64 b) r))
	46.2%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
	43.2%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)) r)) #s(literal -1 binary64))) (sin.f64 b))
	59.5%	(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	56.3%	(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) (exp.f64 (log.f64 r)))
	48.2%	(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	45.9%	(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (exp.f64 (log.f64 r)))
	59.5%	(.f64 r (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	59.8%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
	58.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	57.9%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	56.9%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (* (neg (sin b)) (sin a)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
	57.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
	61.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	98.8%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
	19.4%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 a b)))) #s(literal -1 binary64))))))
	61.9%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ ( (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 0 binary64)) (/.f64 b a)) #s(literal 1 binary64)) a)))))
	3.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (.f64 (.f64 (*.f64 (cos.f64 a) b) b) #s(literal -1/2 binary64))))))
	48.0%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
	59.5%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b)))
	23.9%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
✓	48.3%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	32.2%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
	32.1%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
	32.3%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
✓	33.6%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
	32.2%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
	32.1%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
	32.3%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
✓	33.6%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
	32.2%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
	32.1%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
	48.2%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
	17.6%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))))
	40.0%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	48.3%	#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))

Compiler

Compiled 4 901 to 1 741 computations (64.5% saved)

regimes266.0ms (2.4%)

Memory

15.0MiB live, 517.0MiB allocated

Counts

176 → 1

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 b b) #s(literal -1/2 binary64)) a (neg.f64 b)) a (fma.f64 (.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
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(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (neg.f64 (sin.f64 b))))))) (sin.f64 b))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) #s(literal 0 binary64)))))
(.f64 (/.f64 r (/.f64 (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b))
(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(.f64 (/.f64 r (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
(.f64 (/.f64 r (.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))))) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(.f64 (/.f64 r (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))))))
(.f64 (/.f64 r (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 a)) (neg.f64 (sin.f64 b))))))) (sin.f64 b))

Outputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))

Calls

5 calls:

54.0ms	a
53.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
53.0ms	r
48.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
48.0ms	b

Results

Accuracy	Segments	Branch
99.6%	1	`r`
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
99.6%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes278.0ms (2.6%)

Memory

-36.8MiB live, 259.9MiB allocated

Counts

151 → 1

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 b b) #s(literal -1/2 binary64)) a (neg.f64 b)) a (fma.f64 (.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b)))))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) r)
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a)))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a))) (*.f64 (sin.f64 b) r))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (*.f64 (sin.f64 b) r))
(/.f64 (sin.f64 b) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a)) r))
(/.f64 (sin.f64 b) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)) r))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 (sin.f64 b) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
(/.f64 r (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (.f64 (.f64 (*.f64 (cos.f64 a) b) b) #s(literal -1/2 binary64))))))
(/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (sin.f64 b)) r))
(/.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 a b)))
(.f64 r (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a)) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))))) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(approx (+ ( (* b b) b) (* (* a a) a)) (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(approx (+ ( (* b b) b) (* (* a a) a)) (.f64 (.f64 b b) b)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (+ ( (* b b) b) (* (* a a) a)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 0 binary64)) (/.f64 b a)) #s(literal 1 binary64)) a)))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 r (cos.f64 (.f64 (/.f64 (+.f64 a b) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (*.f64 b b))))))) (sin.f64 b))
(.f64 (/.f64 r (cos.f64 (.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (-.f64 b a) b (.f64 (neg.f64 a) a)))) (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a))))) (sin.f64 b))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (exp.f64 (log.f64 r)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b)))))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (neg.f64 (sin.f64 b))))
(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (* (neg (sin b)) (sin a)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
(.f64 (/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) (exp.f64 (log.f64 r)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) (exp.f64 (log.f64 r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (exp.f64 (log.f64 r)))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)) r)) #s(literal -1 binary64))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
(.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (sin.f64 b))
(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 a (cos.f64 b)) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b)))) (sin.f64 b))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 a b)))) #s(literal -1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) #s(literal 0 binary64))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))) (sin.f64 b)) r))
(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))))
(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))

Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))

Calls

5 calls:

76.0ms	b
72.0ms	r
41.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
40.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
37.0ms	a

Results

Accuracy	Segments	Branch
99.5%	1	`r`
99.5%	1	`a`
99.5%	1	`b`
99.5%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
99.5%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes256.0ms (2.3%)

Memory

18.5MiB live, 213.4MiB allocated

Counts

150 → 1

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
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(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))) (sin.f64 b)) r))
(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))))
(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))))

Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Calls

5 calls:

73.0ms	r
49.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
45.0ms	b
45.0ms	a
37.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
74.4%	1	`r`
74.4%	1	`a`
74.4%	1	`b`
74.4%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
74.4%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes126.0ms (1.2%)

Memory

-4.2MiB live, 72.3MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 b b) #s(literal -1/2 binary64)) a (neg.f64 b)) a (fma.f64 (.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (/ 1 (/ 1 (sin b)))))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) r)
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 a)))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b)))

Outputs

(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))

(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))

(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))

Calls

5 calls:

44.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
35.0ms	b
15.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
15.0ms	r
15.0ms	a

Results

Accuracy	Segments	Branch
74.4%	3	`b`
59.6%	1	`r`
74.3%	3	`a`
59.6%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
74.4%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes52.0ms (0.5%)

Memory

-4.8MiB live, 41.3MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 b b) #s(literal -1/2 binary64)) a (neg.f64 b)) a (fma.f64 (.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))

Outputs

#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))

(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))

#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))

Calls

3 calls:

27.0ms	a
11.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
11.0ms	b

Results

Accuracy	Segments	Branch
74.2%	3	`a`
74.3%	3	`b`
74.3%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes73.0ms (0.7%)

Memory

15.7MiB live, 53.9MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 b b) #s(literal -1/2 binary64)) a (neg.f64 b)) a (fma.f64 (.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))

Outputs

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

Calls

5 calls:

28.0ms	a
11.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
11.0ms	r
10.0ms	b
10.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Accuracy	Segments	Branch
48.3%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
48.3%	1	`r`
48.3%	1	`a`
53.2%	3	`b`
53.2%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes30.0ms (0.3%)

Memory

-22.4MiB live, 15.5MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 b b) #s(literal -1/2 binary64)) a (neg.f64 b)) a (fma.f64 (.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))

Outputs

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
53.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 b b) #s(literal -1/2 binary64)) a (neg.f64 b)) a (fma.f64 (.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))

Outputs

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

Calls

2 calls:

10.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
10.0ms	b

Results

Accuracy	Segments	Branch
53.2%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
53.2%	3	`b`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes25.0ms (0.2%)

Memory

-25.3MiB live, 13.2MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))

Outputs

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

Calls

2 calls:

14.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
9.0ms	b

Results

Accuracy	Segments	Branch
53.1%	3	`b`
53.1%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes19.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))

Outputs

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

Calls

2 calls:

9.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
9.0ms	b

Results

Accuracy	Segments	Branch
53.1%	3	`b`
53.1%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes24.0ms (0.2%)

Memory

-33.1MiB live, 11.3MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))

Outputs

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
53.1%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (/.f64 (cos.f64 a) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (- (* (* (cos a) -1/2) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))

Outputs

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))

(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

Calls

2 calls:

7.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms	b

Results

Accuracy	Segments	Branch
52.8%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
52.8%	3	`b`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes44.0ms (0.4%)

Memory

-8.3MiB live, 31.3MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* (/ (sin b) (cos (+ a b))) (/ 1 (/ 1 r))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))

Outputs
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))

Calls

5 calls:

23.0ms	r
5.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
5.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
5.0ms	b
5.0ms	a

Results

Accuracy	Segments	Branch
48.3%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
48.3%	1	`r`
48.3%	1	`a`
48.3%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
48.3%	1	`b`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes21.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated

Accuracy

Total -1.5b remaining (-3.4%)

Threshold costs -1.5b (-3.4%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) b) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) b)) a) a (/.f64 #s(literal -1/2 binary64) b)) (.f64 a a) (/.f64 #s(literal 1 binary64) b))))))

Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))

Calls

5 calls:

4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	a
4.0ms	b
4.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms	r

Results

Accuracy	Segments	Branch
33.6%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
33.6%	1	`r`
33.6%	1	`a`
33.6%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
33.6%	1	`b`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.8136380985772814e-7	1.847231815805764e-6
0.0ms	-0.019050011190100614	-1.1465777255359902e-7

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.8136380985772814e-7	1.847231815805764e-6
0.0ms	-0.019050011190100614	-1.1465777255359902e-7

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch52.0ms (0.5%)

Memory

6.9MiB live, 85.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	355.1665043628811	17610407868.68034
23.0ms	-1534540189912.666	-317580507.7534061

Samples

22.0ms	130×	1	valid
16.0ms	142×	0	valid

Compiler

Compiled 729 to 439 computations (39.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cos: 10.0ms (34.8% of total)

ival-sin: 9.0ms (31.4% of total)

ival-add: 2.0ms (7% of total)

ival-div: 2.0ms (7% of total)

adjust: 2.0ms (7% of total)

ival-mult: 2.0ms (7% of total)

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

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

bsearch11.0ms (0.1%)

Memory

-47.5MiB live, 5.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	355.1665043628811	17610407868.68034
9.0ms	-1534540189912.666	-317580507.7534061

Compiler

Compiled 729 to 439 computations (39.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.010074369186743619	0.061103967187910654
0.0ms	-0.14200531439850103	-0.0880132634160744

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.010074369186743619	0.061103967187910654
0.0ms	-0.14200531439850103	-0.0880132634160744

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	355.1665043628811	17610407868.68034
1.0ms	-1534540189912.666	-317580507.7534061

Compiler

Compiled 559 to 371 computations (33.6% saved)

bsearch2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	355.1665043628811	17610407868.68034
1.0ms	-1534540189912.666	-317580507.7534061

Compiler

Compiled 559 to 371 computations (33.6% saved)

bsearch43.0ms (0.4%)

Memory

5.4MiB live, 44.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	355.1665043628811	17610407868.68034
26.0ms	-317580507.7534061	-0.019047707256806375

Samples

16.0ms	105×	1	valid
15.0ms	135×	0	valid

Compiler

Compiled 452 to 299 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sin: 9.0ms (37.3% of total)

ival-cos: 8.0ms (33.2% of total)

ival-add: 2.0ms (8.3% of total)

ival-div: 2.0ms (8.3% of total)

adjust: 2.0ms (8.3% of total)

ival-mult: 2.0ms (8.3% of total)

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

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

simplify11.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`
6×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	767
1	148	767
2	157	767
3	162	767
4	165	767
5	166	767

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -320000000 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 360 binary64)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -320000000 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 360 binary64)) (.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -320000000 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 380 binary64)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -320000000 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 380 binary64)) (.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 1500 binary64)) #s(approx (* (/ r (cos (+ a b))) (sin b)) (.f64 (/.f64 r (cos.f64 a)) b)) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))

Outputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) r)
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -320000000 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 360 binary64)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -320000000 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 360 binary64)) (.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -320000000 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 360 binary64)) (.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -320000000 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 360 binary64)) (.f64 (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))) r) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 #s(approx (sin b) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))) r) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -320000000 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 380 binary64)) (.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -320000000 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 380 binary64)) (.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b)))) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -320000000 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 380 binary64)) (.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -320000000 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 380 binary64)) (.f64 (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))) r) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -2589569785738035/562949953421312 binary64)) (.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 1500 binary64)) #s(approx (* (/ r (cos (+ a b))) (sin b)) (.f64 (/.f64 r (cos.f64 a)) b)) (.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
#s(approx (* (/ r (cos (+ a b))) (sin b)) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) r)

soundness1.2s (11.4%)

Memory

0.1MiB live, 957.0MiB allocated

Rules

9 408×	`lower-fma.f64`
9 408×	`lower-fma.f32`
8 906×	`lower-fma.f64`
8 906×	`lower-fma.f32`
8 680×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	7230
1	1244	6817
2	4158	6736
0	8436	6512
0	722	8843
1	2282	8280
2	7985	8178
0	8171	7905
0	215	1226
1	660	1174
2	2060	1116
3	7691	1116
0	8271	1075
0	42	285
0	79	263
1	254	194
2	1663	194
0	8388	194
0	8	22
0	13	22
1	44	22
2	234	22
3	1985	22
0	10212	22
0	387	7714
1	1222	7289
2	4043	7198
0	8409	6962

Stop Event

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

Compiler

Compiled 1 535 to 657 computations (57.2% saved)

preprocess117.0ms (1.1%)

Memory: -5.7MiB live, 191.5MiB allocated
Remove: (negabs r)
Compiler: Compiled 1 152 to 290 computations (74.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze389.0ms (3.6%)

sample1.7s (15.1%)

explain126.0ms (1.2%)

preprocess102.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize44.0ms (0.4%)

series23.0ms (0.2%)

simplify167.0ms (1.5%)

rewrite167.0ms (1.5%)

eval31.0ms (0.3%)

prune66.0ms (0.6%)

simplify348.0ms (3.2%)

localize258.0ms (2.4%)

series125.0ms (1.2%)

simplify306.0ms (2.8%)

rewrite285.0ms (2.6%)

eval376.0ms (3.4%)

prune399.0ms (3.7%)

simplify140.0ms (1.3%)

localize236.0ms (2.2%)

series49.0ms (0.4%)

simplify196.0ms (1.8%)

rewrite256.0ms (2.3%)

eval278.0ms (2.6%)

prune451.0ms (4.1%)

simplify96.0ms (0.9%)

localize231.0ms (2.1%)

series58.0ms (0.5%)

simplify177.0ms (1.6%)

rewrite186.0ms (1.7%)

eval442.0ms (4.1%)

prune503.0ms (4.6%)

regimes266.0ms (2.4%)

regimes278.0ms (2.6%)

regimes256.0ms (2.3%)

regimes126.0ms (1.2%)

regimes52.0ms (0.5%)

regimes73.0ms (0.7%)

regimes30.0ms (0.3%)

regimes22.0ms (0.2%)

regimes25.0ms (0.2%)

regimes19.0ms (0.2%)

regimes24.0ms (0.2%)

regimes16.0ms (0.1%)

regimes44.0ms (0.4%)

regimes21.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch52.0ms (0.5%)

bsearch11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch43.0ms (0.4%)

simplify11.0ms (0.1%)

soundness1.2s (11.4%)

preprocess117.0ms (1.1%)

end0.0ms (0%)

Profiling