Metrics for rsin B (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze399.0ms (3.3%)

Memory

-12.5MiB live, 535.2MiB 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 (14%)

Memory

34.9MiB live, 2 269.1MiB allocated

Samples

1.1s	5 743×	1	valid
307.0ms	2 513×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-cos: 380.0ms (34.7% of total)

ival-sin: 288.0ms (26.3% of total)

ival-mult: 147.0ms (13.4% of total)

adjust: 107.0ms (9.8% of total)

ival-add: 93.0ms (8.5% of total)

ival-div: 70.0ms (6.4% of total)

ival-true: 7.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain136.0ms (1.1%)

Memory

-7.2MiB live, 224.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
66	131	(-8.356014856385794e-233 1.716886823856758e+77 -1.1051166496521931e-16)	-	`(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	197	0

Confusion

	Predicted +	Predicted -
+	66	0
-	131	59

Precision

0.3350253807106599

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	131	0	59

Precision?

0.3350253807106599

Recall?

1.0

Freqs

test

number	freq
0	59
1	197

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms	378×	1	valid
9.0ms	134×	0	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-cos: 16.0ms (29.3% of total)

ival-sin: 11.0ms (20.1% of total)

ival-add: 8.0ms (14.6% of total)

adjust: 7.0ms (12.8% of total)

ival-mult: 7.0ms (12.8% of total)

ival-div: 4.0ms (7.3% of total)

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

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

preprocess102.0ms (0.8%)

Memory

-1.2MiB live, 36.2MiB 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 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a

localize56.0ms (0.5%)

Memory

3.9MiB live, 81.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 b)
accuracy	0.1875	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy	0.201503759768442	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	14.104303360806092	(cos.f64 (+.f64 a b))

Samples

41.0ms	189×	1	valid
5.0ms	67×	0	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-cos: 8.0ms (27.9% of total)

adjust: 7.0ms (24.4% of total)

ival-sin: 6.0ms (20.9% of total)

ival-add: 3.0ms (10.5% of total)

ival-mult: 3.0ms (10.5% of total)

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

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

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

series250.0ms (2.1%)

Memory

-132.1MiB live, 28.5MiB 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 (+ 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>) () ())) ())
#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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ 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 (/ (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) (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) (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 (/ (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 (/ (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 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 (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 (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 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 (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 (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 (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 (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 (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>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
235.0ms	a	@	inf	(* r (/ (sin b) (cos (+ a b))))
2.0ms	a	@	inf	(/ (sin b) (cos (+ a b)))
2.0ms	r	@	0	(* r (/ (sin b) (cos (+ a b))))
1.0ms	b	@	inf	(* r (/ (sin b) (cos (+ a b))))
1.0ms	b	@	0	(* r (/ (sin b) (cos (+ a b))))

simplify249.0ms (2.1%)

Memory

7.3MiB live, 351.2MiB 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	2069	1116
3	7705	1116
0	8285	1075

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

Inputs
(/ (* 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)))
(/ (* 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 (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 (* -1 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 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 (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 (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 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))))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a 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) (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)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (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
(* 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))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin 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))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 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))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))

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

rewrite269.0ms (2.2%)

Memory

10.1MiB live, 381.9MiB 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
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) r))
(neg.f64 (*.f64 r (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(.f64 (neg.f64 (.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (sin.f64 (neg.f64 b)))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (.f64 r (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)))) (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)) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
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(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64))
(/.f64 (-.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)) (cos.f64 (-.f64 a b))))) (.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 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 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 (sin.f64 b) (sin.f64 a)) (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)))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.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))) (.f64 (cos.f64 (-.f64 a 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))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 a b))))))
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.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 (sin.f64 b) (sin.f64 a)) (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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(.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))) (/.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 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))

eval30.0ms (0.2%)

Memory: -11.9MiB live, 65.5MiB allocated
Compiler: Compiled 4 900 to 750 computations (84.7% saved)

prune105.0ms (0.9%)

Memory

18.1MiB live, 134.7MiB allocated

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	218	37	255
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	37	256

Accuracy

99.9%

Counts

256 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.0%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
	77.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	77.6%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	79.3%	(.f64 (/.f64 (.f64 r (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)))) (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)) (cos.f64 (-.f64 a b)))))
	77.8%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	77.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	77.5%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
	77.8%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	77.9%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	77.9%	(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
	37.3%	(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	77.8%	(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	77.4%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
▶	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	98.7%	(.f64 r (/.f64 (sin.f64 b) (/.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)))) (-.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 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
	77.0%	(.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) 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) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))))
	77.9%	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
▶	49.8%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
▶	52.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
	59.2%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
	59.7%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))))
	53.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))))
	61.1%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
	55.9%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	51.6%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
	51.6%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
	77.9%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	77.9%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
	77.8%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
▶	77.9%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	51.9%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 b (/.f64 (.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
	51.9%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	35.0%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	61.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
	52.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))))
▶	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))

Compiler

Compiled 1 536 to 920 computations (40.1% saved)

simplify167.0ms (1.4%)

Memory

-14.0MiB live, 216.1MiB 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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
cost-diff	6080	(fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
cost-diff	128	(neg.f64 (-.f64 a b))
cost-diff	128	(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
cost-diff	1280	(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))
cost-diff	0	(cos.f64 (+.f64 b a))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff	0	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
cost-diff	0	(cos.f64 a)
cost-diff	0	(/.f64 r (cos.f64 a))
cost-diff	0	(*.f64 b (/.f64 r (cos.f64 a)))
cost-diff	0	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
cost-diff	0	(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))

Rules

6 784×	`lower-fma.f32`
6 780×	`lower-fma.f64`
2 480×	`lower-*.f32`
2 462×	`lower-*.f64`
1 508×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	317
0	74	290
1	120	286
2	217	278
3	540	277
4	1341	277
5	3658	277
6	7733	277
0	8153	277

Stop Event

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

Calls

Call 1

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

localize354.0ms (2.9%)

Memory

-15.7MiB live, 337.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
accuracy	0.1875	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
accuracy	0.201503759768442	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
accuracy	30.725813925672668	#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
accuracy	0.1875	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
accuracy	0.201503759768442	(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
accuracy	14.104303360806092	(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
accuracy	29.01538685552668	(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))
accuracy	0.1875	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
accuracy	0.21875	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
accuracy	0.24609375	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
accuracy	14.104303360806092	(cos.f64 (+.f64 b a))
accuracy	0	(cos.f64 a)
accuracy	0.09375	(*.f64 b (/.f64 r (cos.f64 a)))
accuracy	0.1171875	(/.f64 r (cos.f64 a))
accuracy	30.725032206885096	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
accuracy	0.05859375	(*.f64 (cos.f64 a) (cos.f64 b))
accuracy	0.10672628162065376	(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy	0.1875	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
accuracy	0.201503759768442	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))

Samples

247.0ms	193×	1	valid
39.0ms	63×	0	valid

Compiler

Compiled 274 to 41 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

ival-cos: 120.0ms (48.5% of total)

ival-mult: 54.0ms (21.8% of total)

ival-div: 22.0ms (8.9% of total)

ival-sin: 22.0ms (8.9% of total)

adjust: 13.0ms (5.3% of total)

ival-add: 8.0ms (3.2% of total)

ival-sub: 4.0ms (1.6% of total)

ival-neg: 3.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series147.0ms (1.2%)

Memory

17.0MiB live, 129.1MiB allocated

Counts

23 → 600

Calls

Call 1

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

Outputs
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 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) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 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) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 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) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) (taylor inf b) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (pow b 2) (cos a))) (taylor -inf b) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) (taylor -inf b) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) (taylor -inf b) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2)))) (taylor 0 a) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2)))))) (taylor 0 a) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2)))))) (taylor 0 a) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor inf a) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor inf a) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor inf a) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor inf a) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor -inf a) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor -inf a) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor -inf a) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor -inf a) (#s(alt (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) (patch (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.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) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.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) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) (taylor 0 a) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) (taylor 0 a) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) (taylor 0 a) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (.f64 (cos.f64 a) (cos.f64 b)) (patch (.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (/ (sin b) (cos (* -1 b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (/ (sin b) (cos (* -1 b)))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a)))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (* -1 (- b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (* -1 (- b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (* -1 (- b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (* -1 (- b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) (taylor 0 a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
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#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (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 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (patch #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor 0 b) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor 0 b) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor 0 b) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor 0 b) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf b) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf b) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf b) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf b) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf b) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf b) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf b) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf b) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 b) (taylor 0 a) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 b) (* 1/4 (* (pow a 2) b))) (taylor 0 a) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b)))) (taylor 0 a) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b))))))) (taylor 0 a) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf a) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf a) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf a) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor inf a) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf a) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf a) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf a) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* b (cos a))) (taylor -inf a) (#s(alt (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (patch (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())

Calls

150 calls:

Time	Variable		Point	Expression
44.0ms	a	@	0	(neg (- a b))
8.0ms	r	@	inf	(* r (/ (sin b) (cos (/ (* (+ b a) (- a b)) (neg (- a b))))))
7.0ms	a	@	0	(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))
4.0ms	a	@	-inf	(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))
3.0ms	r	@	0	(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))

simplify367.0ms (3.1%)

Memory

9.8MiB live, 409.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 298×	`lower-fma.f64`
8 298×	`lower-fma.f32`
6 646×	`lower-*.f64`
6 646×	`lower-*.f32`
3 068×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	789	8936
1	2495	8273
0	8680	7974

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 595

Calls

Call 1

Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* 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 (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ 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))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (cos b))
(+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
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))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(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))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
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(+ (* 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))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -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))))))
(* -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)))
(* -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))))
(+ 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))))))
(+ (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))))
(+ (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)))
(/ (* 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)))
(/ (* 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 (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 (* -1 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 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 (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 (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 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))))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a 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) (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)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (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)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(/ b (cos (* -1 a)))
(* b (+ (/ 1 (cos (* -1 a))) (/ (* b (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))
(* b (+ (* b (- (* b (- (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a)))))))) (* -1 (/ (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)) (pow (cos (* -1 a)) 2))))) (/ 1 (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (+ (* b (- (/ (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a))))))))) (cos (* -1 a)))) (+ (* -1 (/ (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (cos (* -1 a)))) (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))))) (pow (cos (* -1 a)) 3)))))) (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2))) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a)))))))) (* -1 (/ (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)) (pow (cos (* -1 a)) 2))))) (/ 1 (cos (* -1 a)))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 (- a (* -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))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(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))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 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))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(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)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -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)))))))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))

Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 b (fma.f64 b (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* 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 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) r) (cos.f64 a)) (fma.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 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))))
(.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (.f64 (.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) r) (cos.f64 a)) (fma.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) r) (cos.f64 a)) (fma.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
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(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(.f64 (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (.f64 b b) (.f64 (cos.f64 a) (fma.f64 #s(literal 1/24 binary64) (*.f64 b b) #s(literal -1/2 binary64))) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (.f64 (.f64 (cos.f64 a) (fma.f64 #s(literal -1/720 binary64) (.f64 b b) #s(literal 1/24 binary64))) (.f64 (.f64 b b) (*.f64 b b))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(/ b (cos (* -1 a)))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos (* -1 a))) (/ (* b (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))
(fma.f64 b (/.f64 (.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (neg.f64 (.f64 b (sin.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a)))))))) (* -1 (/ (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)) (pow (cos (* -1 a)) 2))))) (/ 1 (cos (* -1 a)))))
(fma.f64 (.f64 b b) (fma.f64 b (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) a)) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (cos.f64 a)) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (+ (* b (- (/ (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a))))))))) (cos (* -1 a)))) (+ (* -1 (/ (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (cos (* -1 a)))) (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))))) (pow (cos (* -1 a)) 3)))))) (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2))) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a)))))))) (* -1 (/ (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)) (pow (cos (* -1 a)) 2))))) (/ 1 (cos (* -1 a)))))
(fma.f64 (.f64 b b) (fma.f64 b (fma.f64 b (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (.f64 a a)))) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (sin.f64 (neg.f64 a)) (.f64 (fma.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) (.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) a)) (neg.f64 (sin.f64 (neg.f64 a))))) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) a)) (cos.f64 a)) (/.f64 (.f64 (.f64 (sin.f64 (neg.f64 a)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))) (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) a)) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (cos.f64 a)) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (cos.f64 a))))) (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) a)) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (cos.f64 a)) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (sin.f64 (neg.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a)))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (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))))
(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 (/ (* (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))))
(fma.f64 a (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (neg.f64 a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 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))))
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (neg.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 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (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)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (-.f64 (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 b) a) (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (sin.f64 b)) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (sin.f64 (neg.f64 a)) (.f64 (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (fma.f64 b (.f64 (sin.f64 a) #s(literal 1/6 binary64)) (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 a))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 b)
(*.f64 b #s(literal -1/2 binary64))
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(.f64 b (fma.f64 #s(literal 1/4 binary64) (.f64 a a) #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(fma.f64 b #s(literal -1/2 binary64) (.f64 a (.f64 a (.f64 b (fma.f64 #s(literal -1/48 binary64) (.f64 a a) #s(literal 1/4 binary64))))))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 b (fma.f64 #s(literal 1/1440 binary64) (.f64 a a) #s(literal -1/48 binary64))) (.f64 b #s(literal 1/4 binary64))) (.f64 b #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))

rewrite376.0ms (3.1%)

Memory

-9.4MiB live, 561.8MiB allocated

Rules

6 040×	`lower-fma.f32`
6 036×	`lower-fma.f64`
4 948×	`lower-/.f32`
4 938×	`lower-/.f64`
4 700×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	250
0	74	261
1	244	190
2	1657	190
0	8788	190

Stop Event

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

Counts

23 → 817

Calls

Call 1

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

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

eval213.0ms (1.8%)

Memory: 33.7MiB live, 435.9MiB allocated
Compiler: Compiled 35 905 to 3 134 computations (91.3% saved)

prune439.0ms (3.7%)

Memory

-10.3MiB live, 657.8MiB allocated

Pruning

65 alts after pruning (62 fresh and 3 done)

	Pruned	Kept	Total
New	1 443	50	1 493
Fresh	20	12	32
Picked	2	3	5
Done	0	0	0
Total	1 465	65	1 530

Accuracy

100.0%

Counts

1 530 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.0%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
	77.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	77.6%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	98.8%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b))))
	98.8%	(.f64 (/.f64 r (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
	77.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
▶	77.5%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
	77.8%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	77.4%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
	62.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))
	56.8%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.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 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
	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 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (-.f64 (neg.f64 (.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 a 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 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
	37.3%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))))))
	41.6%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (/.f64 (-.f64 a b) (/.f64 #s(literal -1 binary64) (-.f64 a b))) (/.f64 (+.f64 b a) (.f64 (+.f64 b a) (-.f64 a b))))))))
	23.2%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a)))))))))
	33.4%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))))
▶	71.2%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))))
	41.8%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
	72.3%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))))
	20.7%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))))
	40.2%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ ( (+ b a) (- a b)) (neg (- a b))) (.f64 a (fma.f64 b (/.f64 b (.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))))))
	64.2%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ ( (+ b a) (- a b)) (neg (- a b))) (neg.f64 (fma.f64 b (/.f64 a b) b))))))
	59.2%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))))
	52.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (sin.f64 (neg.f64 a)) (.f64 (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))))
	59.7%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
	53.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
	61.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
	55.9%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
	52.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx ( b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
	36.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	33.5%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 a (fma.f64 a (fma.f64 (.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (neg.f64 b)) (fma.f64 b (.f64 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 (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (.f64 b (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))))))
▶	51.6%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
	51.6%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
	51.8%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
	77.9%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	52.3%	(.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b)))
	59.7%	(.f64 r (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (sin.f64 b)))
	98.8%	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))))
	99.5%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)))
	77.8%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
✓	77.9%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	53.8%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b)))
	61.1%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)))
	55.8%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)))
	51.9%	(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
▶	99.6%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
	61.2%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
	51.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
	51.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
	52.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))))
✓	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
	34.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	34.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	34.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
	35.7%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
	25.4%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
	26.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r))))
▶	35.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))

Compiler

Compiled 2 825 to 1 669 computations (40.9% saved)

simplify186.0ms (1.5%)

Memory

-33.6MiB live, 228.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (+.f64 b a))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
cost-diff	7168	(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
cost-diff	0	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))))
cost-diff	128	(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
cost-diff	0	(fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b)
cost-diff	0	#s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))
cost-diff	0	(/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
cost-diff	0	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
cost-diff	0	(*.f64 r b)
cost-diff	0	#s(approx (* b (/ r (cos a))) (*.f64 r b))
cost-diff	0	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
cost-diff	6336	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))

Rules

4 428×	`lower-fma.f32`
4 422×	`lower-fma.f64`
3 088×	`lower-*.f32`
3 072×	`lower-*.f64`
1 728×	`lower-/.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	58	328
0	93	295
1	140	293
2	205	292
3	348	292
4	593	292
5	861	292
6	1420	292
7	2679	283
8	4648	283
9	6632	283
10	7528	283
0	8007	283

Stop Event

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

Calls

Call 1

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

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

localize309.0ms (2.6%)

Memory

25.4MiB live, 603.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.23046875	(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
accuracy	0.23503876953688405	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
accuracy	0.5961693329243554	(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
accuracy	14.104303360806092	(cos.f64 (+.f64 b a))
accuracy	0.1875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
accuracy	0.1875	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))))
accuracy	0.201503759768442	(/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))
accuracy	14.104303360806092	(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))
accuracy	0.1875	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
accuracy	0.201503759768442	(/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))
accuracy	14.104303360806092	(cos.f64 (+.f64 a b))
accuracy	30.7594655645003	#s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))
accuracy	0	(*.f64 r b)
accuracy	23.852331947416257	#s(approx (* b (/ r (cos a))) (*.f64 r b))
accuracy	30.725032206885096	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
accuracy	0.07776129138909577	(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
accuracy	0.1015625	(*.f64 r (sin.f64 b))
accuracy	0.17578125	(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))
accuracy	0.244472509768442	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))

Samples

191.0ms	193×	1	valid
36.0ms	63×	0	valid

Compiler

Compiled 261 to 48 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-cos: 51.0ms (28.1% of total)

ival-mult: 34.0ms (18.7% of total)

ival-sin: 24.0ms (13.2% of total)

ival-div: 22.0ms (12.1% of total)

adjust: 17.0ms (9.4% of total)

ival-add: 11.0ms (6.1% of total)

const: 11.0ms (6.1% of total)

ival-pow: 8.0ms (4.4% of total)

ival-neg: 1.0ms (0.6% 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

-3.3MiB live, 86.2MiB allocated

Counts

23 → 600

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) #<representation binary64>) () ())
#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))) #<representation binary64>) () ())
#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 r b))) (patch #s(approx ( r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b))) #<representation binary64>) () ())
#s(alt #s(approx (* b (/ r (cos a))) (.f64 r b)) (patch #s(approx ( b (/ r (cos a))) (*.f64 r b)) #<representation binary64>) () ())
#s(alt (.f64 r b) (patch (.f64 r b) #<representation binary64>) () ())
#s(alt (.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b)))) (patch (.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (patch #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b) (patch (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))) (patch (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))) (patch (.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) (patch (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (patch (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.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 r (sin.f64 b))) (patch (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #<representation binary64>) () ())

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

Calls

150 calls:

Time	Variable		Point	Expression
11.0ms	b	@	0	(/ 1 (* r (sin b)))
1.0ms	r	@	0	(* r (/ (sin b) (cos (/ 1 (/ -1 (+ b a))))))
1.0ms	b	@	0	(* r (/ (sin b) (cos (/ 1 (/ -1 (+ b a))))))
1.0ms	b	@	0	(/ (sin b) (cos (/ 1 (/ -1 (+ b a)))))
1.0ms	r	@	inf	(* r (/ (sin b) (cos (/ 1 (/ -1 (+ b a))))))

simplify294.0ms (2.4%)

Memory

26.2MiB live, 405.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 100×	`lower-fma.f64`
8 100×	`lower-fma.f32`
6 108×	`lower-*.f64`
6 108×	`lower-*.f32`
2 686×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	647	7650
1	2063	7182
2	7195	7013
0	8137	6842

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 597

Calls

Call 1

Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* 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 (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* 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 (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
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))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(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)))
(/ (* 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)))
(/ (* 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 (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 (* -1 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 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 (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 (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b 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)) (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)))
(/ (* 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 (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 (* -1 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 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 (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 (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 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))))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a 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) (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)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (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
(* 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))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
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) (- (* 1/120 (pow b 2)) 1/6))))
(* 1/120 (pow b 5))
(* (pow b 5) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))
(* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))
(* 1/120 (pow b 5))
(* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))
(* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4))))))
(* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4))))))
(* -1 a)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(* -1 b)
(* b (- (* -1 (/ a b)) 1))
(* b (- (* -1 (/ a b)) 1))
(* b (- (* -1 (/ a b)) 1))
(* -1 b)
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (/ a b))))
(* -1 b)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(* a (- (* -1 (/ b a)) 1))
(* a (- (* -1 (/ b a)) 1))
(* -1 a)
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (/ b a))))
(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))))))
(cos (* -1 (+ a b)))
(cos (* -1 (+ a b)))
(cos (* -1 (+ a b)))
(cos (* -1 (+ a b)))
(cos (* -1 (- a (* -1 b))))
(cos (* -1 (- a (* -1 b))))
(cos (* -1 (- a (* -1 b))))
(cos (* -1 (- a (* -1 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))))))
(cos (* -1 (+ a b)))
(cos (* -1 (+ a b)))
(cos (* -1 (+ a b)))
(cos (* -1 (+ a b)))
(cos (* -1 (- b (* -1 a))))
(cos (* -1 (- b (* -1 a))))
(cos (* -1 (- b (* -1 a))))
(cos (* -1 (- b (* -1 a))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* 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)))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -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))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -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)))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 (- a (* -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))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* 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 (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 (* -1 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 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 (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 (- 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 (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)))
(/ 1 (cos a))
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (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 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos b))
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 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))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 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))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(* a (sin (neg b)))
(* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b))))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b))))))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b)))))))))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* -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)))))))))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (neg b)))
(* (sin a) (sin (* -1 b)))
(* (sin a) (sin (* -1 b)))
(* (sin a) (sin (* -1 b)))
(* (sin a) (sin (* -1 b)))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(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))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 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))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 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))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))

Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
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(fma.f64 b (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)) (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* b r))
(/.f64 #s(literal 1 binary64) (*.f64 r b))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/.f64 (fma.f64 b (.f64 b (fma.f64 (/.f64 (.f64 b b) r) #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) r))) (/.f64 #s(literal 1 binary64) r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/.f64 (fma.f64 b (.f64 b (fma.f64 (.f64 b b) (fma.f64 (/.f64 (*.f64 b b) r) #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) r)) (/.f64 #s(literal 1/6 binary64) r))) (/.f64 #s(literal 1 binary64) r)) b)
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))

rewrite235.0ms (1.9%)

Memory

-13.6MiB live, 321.1MiB allocated

Rules

3 396×	`lower-/.f32`
3 382×	`lower-/.f64`
3 312×	`lower-*.f32`
3 296×	`lower-*.f64`
2 374×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	261
0	93	245
1	307	204
2	1871	199
0	8841	199

Stop Event

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

Counts

23 → 882

Calls

Call 1

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

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

eval417.0ms (3.5%)

Memory: 24.3MiB live, 408.6MiB allocated
Compiler: Compiled 37 447 to 2 698 computations (92.8% saved)

prune503.0ms (4.2%)

Memory

16.4MiB live, 696.1MiB allocated

Pruning

82 alts after pruning (76 fresh and 6 done)

	Pruned	Kept	Total
New	1 541	26	1 567
Fresh	7	50	57
Picked	2	3	5
Done	0	3	3
Total	1 550	82	1 632

Accuracy

100.0%

Counts

1 632 → 82

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.0%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
	77.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	51.5%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))))
	77.6%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	77.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
	52.0%	(.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
	59.4%	(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
	98.8%	(.f64 (/.f64 r (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
	77.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	98.8%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
	31.1%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
	31.1%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
	77.4%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)) #s(literal -1 binary64)))
	77.4%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64)))
	43.1%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (.f64 r (sin.f64 b))))))
	52.0%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 #s(approx (/ 1 ( r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) #s(literal -1 binary64)))
	77.8%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	43.3%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 (.f64 r (sin.f64 b)))))
	51.8%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (pow (/ 1 ( r (sin b))) -1) (*.f64 r b)))
	55.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
	45.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sqrt.f64 (.f64 r (sin.f64 b)))) (sqrt.f64 (.f64 r (sin.f64 b))))
	77.4%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
	62.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))
	56.8%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.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 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
	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 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (-.f64 (neg.f64 (.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 a 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 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
	45.1%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1/2 binary64)))))
	20.6%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 b) a)))) #s(literal -1 binary64)))))
	37.3%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))))))
	41.6%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (/.f64 (-.f64 a b) (/.f64 #s(literal -1 binary64) (-.f64 a b))) (/.f64 (+.f64 b a) (.f64 (+.f64 b a) (-.f64 a b))))))))
	23.2%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a)))))))))
	33.4%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))))
✓	71.2%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))))
▶	41.8%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
	72.3%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))))
	20.7%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 b) a))) #s(literal -1 binary64))))))
	40.2%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ ( (+ b a) (- a b)) (neg (- a b))) (.f64 a (fma.f64 b (/.f64 b (.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))))))
	64.2%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ ( (+ b a) (- a b)) (neg (- a b))) (neg.f64 (fma.f64 b (/.f64 a b) b))))))
	59.2%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))))
	52.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (sin.f64 (neg.f64 a)) (.f64 (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))))
	59.7%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
	61.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
▶	55.9%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
	52.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx ( b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
	36.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 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 (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (.f64 b (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))))))
	51.7%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
	51.6%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
	51.8%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
	77.9%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
▶	52.3%	(.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b)))
	59.7%	(.f64 r (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (sin.f64 b)))
	98.8%	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))))
	99.5%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)))
	77.8%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
✓	77.9%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	53.8%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b)))
	61.1%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)))
	55.8%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)))
	51.9%	(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
	28.5%	(exp.f64 (fma.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64) (log.f64 (*.f64 r (sin.f64 b)))))
	61.2%	#s(approx (* (/ 1 (cos (+ b a))) (pow (/ 1 (* r (sin b))) -1)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
▶	99.6%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))
✓	99.6%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
	68.6%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (sin a) (sin (neg b))) (neg.f64 (*.f64 (sin.f64 b) a))))))
	98.7%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (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) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 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)))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 b) (cos.f64 a)))))))
	53.8%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (sin (neg b)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
	55.9%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (sin (neg b)))) (cos.f64 a))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
	51.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
	51.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
✓	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
	34.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	34.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	34.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
	25.4%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
▶	26.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r))))
✓	35.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))

Compiler

Compiled 3 407 to 2 094 computations (38.5% saved)

simplify215.0ms (1.8%)

Memory

-23.5MiB live, 277.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64))
cost-diff	0	(.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b)))
cost-diff	320	(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))
cost-diff	12224	(pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	128	(cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))
cost-diff	832	(/.f64 (-.f64 (neg.f64 b) a) (*.f64 (+.f64 b a) (-.f64 a b)))
cost-diff	1088	(/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
cost-diff	1600	(.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
cost-diff	0	#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (.f64 r (.f64 a a)) r)
cost-diff	0	#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (.f64 a a)) r))
cost-diff	0	(.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r)))
cost-diff	0	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
cost-diff	0	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))

Rules

8 728×	`lower-fma.f32`
8 724×	`lower-fma.f64`
3 024×	`lower-*.f32`
3 004×	`lower-*.f64`
1 674×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	421
0	94	444
1	150	430
2	296	346
3	907	323
4	3743	323
0	8163	323

Stop Event

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

Calls

Call 1

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

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

localize391.0ms (3.2%)

Memory

16.1MiB live, 598.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b)))
accuracy	0.11328125	(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))
accuracy	0.19597626953688402	(pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	6.7554635546713175	(cos.f64 (+.f64 b a))
accuracy	0.10546875	(/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
accuracy	6.7554635546713175	(cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))
accuracy	17.595759102808675	(/.f64 (-.f64 (neg.f64 b) a) (*.f64 (+.f64 b a) (-.f64 a b)))
accuracy	17.653339039996933	(.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
accuracy	0	(cos.f64 a)
accuracy	0.07421875	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
accuracy	0.08984375	(/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
accuracy	14.367889441779052	#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))
accuracy	0.046875	(.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r)))
accuracy	4.687210599429619	(.f64 r (.f64 a a))
accuracy	15.7429264840063	#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (.f64 a a)) r))
accuracy	16.210144730985412	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r))))
accuracy	0.03125	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.04032003162065376	(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.05859375	(*.f64 r (sin.f64 b))
accuracy	0.12728500976844204	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

146.0ms	86×	1	invalid
111.0ms	100×	1	valid
48.0ms	61×	0	valid
6.0ms	9×	0	invalid

Compiler

Compiled 366 to 50 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-div: 83.0ms (32.3% of total)

ival-cos: 74.0ms (28.8% of total)

ival-mult: 40.0ms (15.6% of total)

ival-sin: 19.0ms (7.4% of total)

adjust: 15.0ms (5.8% of total)

ival-add: 9.0ms (3.5% of total)

ival-pow: 6.0ms (2.3% of total)

ival-sub: 4.0ms (1.6% of total)

ival-pow2: 4.0ms (1.6% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series44.0ms (0.4%)

Memory

-19.8MiB live, 93.7MiB allocated

Counts

24 → 624

Calls

Call 1

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

Outputs
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) (patch #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 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 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 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 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 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 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b r) (taylor 0 b) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ r (* -1/6 (* (pow b 2) r)))) (taylor 0 b) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) (taylor 0 b) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) (taylor 0 b) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))) (patch (.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) (patch (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) (patch (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (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 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) (patch (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (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 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) (patch (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) (patch (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) (patch (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) (patch (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) (patch (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) (patch (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) (patch (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) (patch (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) (patch (.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos a))) (taylor 0 b) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 (cos a))) (* 1/2 (* (* b (sin a)) (sqrt (/ 1 (pow (cos a) 3)))))) (taylor 0 b) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 (cos a))) (* b (+ (* 1/2 (* (sqrt (/ 1 (pow (cos a) 3))) (sin a))) (* 1/2 (* (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/4 (/ (pow (sin a) 2) (pow (cos a) 3)))))) (sqrt (cos a))))))) (taylor 0 b) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 (cos a))) (* b (+ (* 1/2 (* (sqrt (/ 1 (pow (cos a) 3))) (sin a))) (* b (+ (* -1/2 (* (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (+ (* 1/6 (/ (sin a) (pow (cos a) 2))) (* 1/2 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/4 (/ (pow (sin a) 2) (pow (cos a) 3)))))) (cos a))))))) (sqrt (cos a)))) (* 1/2 (* (sqrt (cos a)) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/4 (/ (pow (sin a) 2) (pow (cos a) 3)))))))))))) (taylor 0 b) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (+ a b)))) (taylor inf b) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (+ a b)))) (taylor inf b) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (+ a b)))) (taylor inf b) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (+ a b)))) (taylor inf b) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (- a (* -1 b))))) (taylor -inf b) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (- a (* -1 b))))) (taylor -inf b) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (- a (* -1 b))))) (taylor -inf b) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (- a (* -1 b))))) (taylor -inf b) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos b))) (taylor 0 a) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 (cos b))) (* 1/2 (* (* a (sin b)) (sqrt (/ 1 (pow (cos b) 3)))))) (taylor 0 a) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 (cos b))) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow (cos b) 3))) (sin b))) (* 1/2 (* (* a (- (* 1/2 (/ 1 (cos b))) (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))) (* 1/4 (/ (pow (sin b) 2) (pow (cos b) 3)))))) (sqrt (cos b))))))) (taylor 0 a) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 (cos b))) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow (cos b) 3))) (sin b))) (* a (+ (* -1/2 (* (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (+ (* 1/6 (/ (sin b) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))) (* 1/4 (/ (pow (sin b) 2) (pow (cos b) 3)))))) (cos b))))))) (sqrt (cos b)))) (* 1/2 (* (sqrt (cos b)) (- (* 1/2 (/ 1 (cos b))) (+ (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))) (* 1/4 (/ (pow (sin b) 2) (pow (cos b) 3)))))))))))) (taylor 0 a) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (+ a b)))) (taylor inf a) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (+ a b)))) (taylor inf a) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (+ a b)))) (taylor inf a) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (+ a b)))) (taylor inf a) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (- b (* -1 a))))) (taylor -inf a) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (- b (* -1 a))))) (taylor -inf a) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (- b (* -1 a))))) (taylor -inf a) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (cos (- b (* -1 a))))) (taylor -inf a) (#s(alt (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 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 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.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 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (sin (neg b)))) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b))))))))) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor inf a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor inf a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor inf a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor inf a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor -inf a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor -inf a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor -inf a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor -inf a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) (taylor 0 b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) (taylor 0 b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) (taylor 0 b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) (taylor 0 a) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) (taylor 0 a) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) (taylor 0 a) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 r) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 r) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 r) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 r) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf r) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf r) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf r) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf r) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf r) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf r) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf r) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf r) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 a) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 a) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 a) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor 0 a) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf a) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf a) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf a) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor inf a) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf a) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf a) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf a) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf a) (#s(alt (.f64 r (.f64 a a)) (patch (.f64 r (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow a 2))) (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) (taylor 0 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>) () ())) ())
#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>) () ())) ())
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b 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 (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<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 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())

Calls

156 calls:

Time	Variable		Point	Expression
3.0ms	r	@	0	(+ (* 1/2 (* r (* a a))) r)
2.0ms	a	@	-inf	(* (/ (- (neg b) a) (* (+ b a) (- a b))) (/ (- a b) (/ 1 (+ b a))))
1.0ms	a	@	0	(pow (cos (+ b a)) -1/2)
1.0ms	b	@	0	(pow (cos (+ b a)) -1/2)
1.0ms	r	@	inf	(+ (* 1/2 (* r (* a a))) r)

simplify311.0ms (2.6%)

Memory

0.8MiB live, 451.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 066×	`lower-fma.f64`
9 066×	`lower-fma.f32`
6 426×	`lower-*.f64`
6 426×	`lower-*.f32`
3 382×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	762	8409
1	2402	7936
0	8069	7571

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 621

Calls

Call 1

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

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

rewrite353.0ms (2.9%)

Memory

15.6MiB live, 441.3MiB allocated

Rules

4 718×	`lower-/.f32`
4 708×	`lower-/.f64`
3 874×	`lower-fma.f32`
3 870×	`lower-fma.f64`
3 334×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	301
0	90	291
1	310	192
2	2282	192
0	8646	192

Stop Event

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

Counts

24 → 1 104

Calls

Call 1

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

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

eval250.0ms (2.1%)

Memory: 14.0MiB live, 446.6MiB allocated
Compiler: Compiled 50 696 to 5 278 computations (89.6% saved)

prune615.0ms (5.1%)

Memory

1.7MiB live, 1 013.8MiB allocated

Pruning

101 alts after pruning (92 fresh and 9 done)

	Pruned	Kept	Total
New	1 742	35	1 777
Fresh	14	57	71
Picked	2	3	5
Done	0	6	6
Total	1 758	101	1 859

Accuracy

100.0%

Counts

1 859 → 101

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.0%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
	55.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
	77.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	51.5%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))))
	77.6%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	55.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (*.f64 r (sin.f64 b))))
	77.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
	52.0%	(.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
	98.8%	(.f64 (/.f64 r (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
	77.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	98.8%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
	31.1%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
	31.1%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
	77.4%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)) #s(literal -1 binary64)))
	77.4%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64)))
	43.1%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (.f64 r (sin.f64 b))))))
	77.8%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	43.3%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 (.f64 r (sin.f64 b)))))
	51.8%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (pow (/ 1 ( r (sin b))) -1) (*.f64 r b)))
	55.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
	45.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sqrt.f64 (.f64 r (sin.f64 b)))) (sqrt.f64 (.f64 r (sin.f64 b))))
	55.8%	(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
	55.8%	(.f64 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
	77.4%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
	56.8%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.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 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
	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 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (-.f64 (neg.f64 (.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 a 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 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
	20.6%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 b) a)))) #s(literal -1 binary64)))))
	72.9%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (-.f64 b a) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b))))))
	78.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (-.f64 a b) (/.f64 (-.f64 b a) (+.f64 b a))))))
	41.6%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (/.f64 (-.f64 a b) (/.f64 #s(literal -1 binary64) (-.f64 a b))) (/.f64 (+.f64 b a) (.f64 (+.f64 b a) (-.f64 a b))))))))
	33.4%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))))
✓	71.2%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))))
	40.6%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (/.f64 b (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 b (.f64 (+.f64 b a) (-.f64 a b)))) (.f64 (/.f64 a (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 a (.f64 (+.f64 b a) (-.f64 a b))))) (+.f64 (/.f64 (neg.f64 b) (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 a (.f64 (+.f64 b a) (-.f64 a b))))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
	33.2%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (fma.f64 b (+.f64 b a) (.f64 a a))) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))))))))
	17.3%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b)))) #s(literal -1 binary64)))))))
	27.0%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) #s(approx (/ (- a b) (/ 1 (+ b a))) (.f64 (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal -1 binary64))) b) b))))))
	40.2%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) #s(approx (/ (- a b) (/ 1 (+ b a))) (.f64 b (neg.f64 b)))))))
	36.3%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) #s(approx (/ (- a b) (/ 1 (+ b a))) (.f64 a a))))))
	41.6%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (/.f64 (.f64 a a) (-.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
	72.8%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)))))))
	72.3%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a)))))))
	42.0%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (-.f64 a b))) (*.f64 (+.f64 b a) (-.f64 b a))))))))
	20.0%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 #s(approx (/ (- (neg b) a) (* (+ b a) (- a b))) (/.f64 (-.f64 (fma.f64 a (.f64 a (/.f64 a (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 a b)))) b)) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
	29.9%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 #s(approx (/ (- (neg b) a) (* (+ b a) (- a b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 a))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
	24.9%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 #s(approx (/ (- (neg b) a) (* (+ b a) (- a b))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (/.f64 a b) a) (neg.f64 b))) (neg.f64 b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
	32.1%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 #s(approx (/ (- (neg b) a) (* (+ b a) (- a b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
	20.7%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 b) a))) #s(literal -1 binary64))))))
	40.2%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ ( (+ b a) (- a b)) (neg (- a b))) (.f64 a (fma.f64 b (/.f64 b (.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))))))
	64.2%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ ( (+ b a) (- a b)) (neg (- a b))) (neg.f64 (fma.f64 b (/.f64 a b) b))))))
	59.2%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))))
	52.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (sin.f64 (neg.f64 a)) (.f64 (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))))
	59.7%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
	61.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
✓	55.9%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
	36.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	39.7%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
	52.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx ( b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
	36.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 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 (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (.f64 b (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))))))
	51.7%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
	51.2%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
	51.8%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
	55.8%	(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (sin.f64 b))))
	62.5%	(.f64 r (.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b)))
	59.6%	(.f64 r (.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (sin.f64 b)))
	52.1%	(.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (sin.f64 b)))
	59.7%	(.f64 r (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (sin.f64 b)))
	49.1%	(.f64 r (.f64 (pow.f64 #s(approx (pow (cos (+ b a)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)))) #s(literal 2 binary64)) (sin.f64 b)))
	98.8%	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))))
	99.5%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)))
	77.8%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
✓	77.9%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	53.8%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b)))
	61.1%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)))
	51.9%	(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
	61.2%	#s(approx (* (/ 1 (cos (+ b a))) (pow (/ 1 (* r (sin b))) -1)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
✓	99.6%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))
	62.3%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos b) (cos a)) (cos.f64 b)))))
	56.8%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos b) (cos a)) (cos.f64 a)))))
✓	99.6%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
	68.6%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (sin a) (sin (neg b))) (neg.f64 (*.f64 (sin.f64 b) a))))))
	98.7%	#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (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) (neg.f64 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) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 b) (cos.f64 a)))))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
	51.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
	51.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
✓	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
	34.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	34.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	34.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
	25.4%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
✓	26.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r))))
	19.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) (neg.f64 r))))))
	26.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r))))))
	19.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 r #s(literal 1/2 binary64)) (neg.f64 r)))))))
	10.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) #s(approx (+ ( 1/2 (* r (* a a))) r) (.f64 r (.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
✓	35.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))

Compiler

Compiled 5 261 to 1 995 computations (62.1% saved)

regimes221.0ms (1.8%)

Memory

-12.1MiB live, 338.0MiB allocated

Counts

149 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) #s(approx (+ ( 1/2 (* r (* a a))) r) (.f64 r (.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) (neg.f64 r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 r #s(literal 1/2 binary64)) (neg.f64 r)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (pow (/ 1 ( r (sin b))) -1) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 a (fma.f64 a (fma.f64 (.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (neg.f64 b)) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (sin (neg b)))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ 1 (cos (+ b a))) (pow (/ 1 (* r (sin b))) -1)) (/.f64 (*.f64 r (sin.f64 b)) (cos.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 (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (*.f64 r (sin.f64 b))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (.f64 b (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ ( (+ b a) (- a b)) (neg (- a b))) (neg.f64 (fma.f64 b (/.f64 a b) b))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a)))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (-.f64 a b) (/.f64 (-.f64 b a) (+.f64 b a))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (-.f64 b a) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) #s(approx (/ (- a b) (/ 1 (+ b a))) (.f64 a a))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) #s(approx (/ (- a b) (/ 1 (+ b a))) (.f64 b (neg.f64 b)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 #s(approx (/ (- (neg b) a) (* (+ b a) (- a b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 #s(approx (/ 1 ( r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (-.f64 a b))) (*.f64 (+.f64 b a) (-.f64 b a))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 #s(approx (/ (- (neg b) a) (* (+ b a) (- a b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 a))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) #s(approx (/ (- a b) (/ 1 (+ b a))) (.f64 (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal -1 binary64))) b) b))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ ( (+ b a) (- a b)) (neg (- a b))) (.f64 a (fma.f64 b (/.f64 b (.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 #s(approx (/ (- (neg b) a) (* (+ b a) (- a b))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (/.f64 a b) a) (neg.f64 b))) (neg.f64 b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (/.f64 (-.f64 a b) (/.f64 #s(literal -1 binary64) (-.f64 a b))) (/.f64 (+.f64 b a) (.f64 (+.f64 b a) (-.f64 a b))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a)))))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (sin (neg b)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (fma.f64 b (+.f64 b a) (.f64 a a))) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))))))))
(.f64 r (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (sin.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx ( b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 #s(approx (/ (- (neg b) a) (* (+ b a) (- a b))) (/.f64 (-.f64 (fma.f64 a (.f64 a (/.f64 a (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 a b)))) b)) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 r (.f64 (pow.f64 #s(approx (pow (cos (+ b a)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)))) #s(literal 2 binary64)) (sin.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (/.f64 (.f64 a a) (-.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (sin.f64 (neg.f64 a)) (.f64 (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1/2 binary64)))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sqrt.f64 (.f64 r (sin.f64 b)))) (sqrt.f64 (.f64 r (sin.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (/.f64 b (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 b (.f64 (+.f64 b a) (-.f64 a b)))) (.f64 (/.f64 a (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 a (.f64 (+.f64 b a) (-.f64 a b))))) (+.f64 (/.f64 (neg.f64 b) (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 a (.f64 (+.f64 b a) (-.f64 a b))))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b)))
(.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (sin.f64 b)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos b) (cos a)) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos b) (cos a)) (cos.f64 b)))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 (.f64 r (sin.f64 b)))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 r (.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (sin.f64 b)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 b) a))) #s(literal -1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (sin a) (sin (neg b))) (neg.f64 (*.f64 (sin.f64 b) a))))))
(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 b (/.f64 (.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b)))) #s(literal -1 binary64)))))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64) (log.f64 (*.f64 r (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 b) a)))) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (.f64 r (sin.f64 b))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(.f64 r (.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 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) 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) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))))
(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 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 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (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) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 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)))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 b) (cos.f64 a)))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (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) (neg.f64 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) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 b) (cos.f64 a)))))))
(.f64 (/.f64 r (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
(.f64 (/.f64 (.f64 r (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)))) (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)) (cos.f64 (-.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 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (-.f64 (neg.f64 (.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 a 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 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(.f64 r (/.f64 (sin.f64 b) (/.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)))) (-.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 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))

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

Calls

5 calls:

44.0ms	a
43.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
42.0ms	r
41.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
40.0ms	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)

regimes200.0ms (1.7%)

Memory

16.4MiB live, 375.9MiB allocated

Counts

131 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) #s(approx (+ ( 1/2 (* r (* a a))) r) (.f64 r (.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) (neg.f64 r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 r #s(literal 1/2 binary64)) (neg.f64 r)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (pow (/ 1 ( r (sin b))) -1) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 a (fma.f64 a (fma.f64 (.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (neg.f64 b)) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (sin (neg b)))) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
#s(approx (* (/ 1 (cos (+ b a))) (pow (/ 1 (* r (sin b))) -1)) (/.f64 (*.f64 r (sin.f64 b)) (cos.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 (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(.f64 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)) (*.f64 r (sin.f64 b))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (.f64 b (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ ( (+ b a) (- a b)) (neg (- a b))) (neg.f64 (fma.f64 b (/.f64 a b) b))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (-.f64 b a)))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (-.f64 a b) (/.f64 (-.f64 b a) (+.f64 b a))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (-.f64 b a) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) #s(approx (/ (- a b) (/ 1 (+ b a))) (.f64 a a))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) #s(approx (/ (- a b) (/ 1 (+ b a))) (.f64 b (neg.f64 b)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 #s(approx (/ (- (neg b) a) (* (+ b a) (- a b))) (/.f64 #s(literal 1 binary64) b)) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 #s(approx (/ 1 ( r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (-.f64 a b))) (*.f64 (+.f64 b a) (-.f64 b a))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 #s(approx (/ (- (neg b) a) (* (+ b a) (- a b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 a))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) #s(approx (/ (- a b) (/ 1 (+ b a))) (.f64 (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal -1 binary64))) b) b))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ ( (+ b a) (- a b)) (neg (- a b))) (.f64 a (fma.f64 b (/.f64 b (.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 #s(approx (/ (- (neg b) a) (* (+ b a) (- a b))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (/.f64 a b) a) (neg.f64 b))) (neg.f64 b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (/.f64 (-.f64 a b) (/.f64 #s(literal -1 binary64) (-.f64 a b))) (/.f64 (+.f64 b a) (.f64 (+.f64 b a) (-.f64 a b))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a)))))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (sin (neg b)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (fma.f64 b (+.f64 b a) (.f64 a a))) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))))))))
(.f64 r (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (sin.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx ( b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 #s(approx (/ (- (neg b) a) (* (+ b a) (- a b))) (/.f64 (-.f64 (fma.f64 a (.f64 a (/.f64 a (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 a b)))) b)) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 r (.f64 (pow.f64 #s(approx (pow (cos (+ b a)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)))) #s(literal 2 binary64)) (sin.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (/.f64 (.f64 a a) (-.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (sin.f64 (neg.f64 a)) (.f64 (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1/2 binary64)))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sqrt.f64 (.f64 r (sin.f64 b)))) (sqrt.f64 (.f64 r (sin.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (/.f64 b (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 b (.f64 (+.f64 b a) (-.f64 a b)))) (.f64 (/.f64 a (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 a (.f64 (+.f64 b a) (-.f64 a b))))) (+.f64 (/.f64 (neg.f64 b) (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 a (.f64 (+.f64 b a) (-.f64 a b))))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b)))
(.f64 r (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (sin.f64 b)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos b) (cos a)) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos b) (cos a)) (cos.f64 b)))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 (.f64 r (sin.f64 b)))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 r (.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (sin.f64 b)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 b) a))) #s(literal -1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (sin a) (sin (neg b))) (neg.f64 (*.f64 (sin.f64 b) a))))))
(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 b (/.f64 (.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (-.f64 (neg.f64 b) a) (.f64 (+.f64 b a) (-.f64 a b))) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b)))) #s(literal -1 binary64)))))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64) (log.f64 (*.f64 r (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 b) a)))) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (.f64 r (sin.f64 b))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))

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

Calls

5 calls:

43.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
41.0ms	a
38.0ms	r
37.0ms	b
35.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Accuracy	Segments	Branch
78.0%	1	`r`
78.0%	1	`a`
78.0%	1	`b`
78.0%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
78.0%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes93.0ms (0.8%)

Memory

5.6MiB live, 126.3MiB allocated

Counts

64 → 1

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	a
18.0ms	b
18.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
17.0ms	r
17.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Accuracy	Segments	Branch
78.0%	1	`r`
78.0%	1	`b`
78.0%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
78.0%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
78.0%	1	`a`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes60.0ms (0.5%)

Memory

-39.6MiB live, 82.9MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

12.0ms	b
12.0ms	a
11.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
11.0ms	r
11.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Accuracy	Segments	Branch
61.2%	1	`r`
77.6%	3	`b`
64.4%	3	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
77.6%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
78.3%	3	`a`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes11.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
78.2%	3	`a`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory

5.6MiB live, 44.0MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

9.0ms	a
9.0ms	b

Results

Accuracy	Segments	Branch
77.6%	3	`b`
76.4%	3	`a`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes47.0ms (0.4%)

Memory

-24.0MiB live, 96.0MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

10.0ms	r
10.0ms	a
9.0ms	b
8.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
8.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Accuracy	Segments	Branch
51.9%	1	`r`
51.9%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
51.9%	1	`a`
56.4%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
56.4%	3	`b`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes18.0ms (0.1%)

Memory

8.5MiB live, 44.7MiB allocated

Counts

23 → 3

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) #s(approx (+ ( 1/2 (* r (* a a))) r) (.f64 r (.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) (neg.f64 r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 r #s(literal 1/2 binary64)) (neg.f64 r)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (pow (/ 1 ( r (sin b))) -1) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))

Outputs

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

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

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

Calls

2 calls:

9.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms	b

Results

Accuracy	Segments	Branch
56.1%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
56.1%	3	`b`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes20.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) #s(approx (+ ( 1/2 (* r (* a a))) r) (.f64 r (.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) (neg.f64 r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 r #s(literal 1/2 binary64)) (neg.f64 r)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.9%	1	`r`
51.9%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
51.9%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
51.9%	1	`b`

Compiler

Compiled 30 to 21 computations (30% saved)

regimes28.0ms (0.2%)

Memory

-41.8MiB live, 45.9MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) #s(approx (+ ( 1/2 (* r (* a a))) r) (.f64 r (.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) (neg.f64 r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 r #s(literal 1/2 binary64)) (neg.f64 r)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))

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

Calls

5 calls:

9.0ms	b
6.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	a
4.0ms	r

Results

Accuracy	Segments	Branch
51.9%	1	`b`
51.9%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
51.9%	1	`a`
51.9%	1	`r`
51.9%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes20.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) #s(approx (+ ( 1/2 (* r (* a a))) r) (.f64 r (.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) (neg.f64 r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 r #s(literal 1/2 binary64)) (neg.f64 r)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.9%	1	`b`
51.9%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
51.9%	1	`a`
51.9%	1	`r`
51.9%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes20.0ms (0.2%)

Memory

2.5MiB live, 41.2MiB allocated

Accuracy

Total -17.2b remaining (-41.8%)

Threshold costs -17.2b (-41.8%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) #s(approx (+ ( 1/2 (* r (* a a))) r) (.f64 r (.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 r (*.f64 a a)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (fma.f64 (.f64 a a) (*.f64 r #s(literal 1/2 binary64)) (neg.f64 r))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 r #s(literal 1/2 binary64)) (neg.f64 r)))))))

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

Calls

5 calls:

4.0ms	a
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	b
3.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms	r

Results

Accuracy	Segments	Branch
35.6%	1	`b`
35.6%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
35.6%	1	`a`
35.6%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
35.6%	1	`r`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch50.0ms (0.4%)

Memory

-10.6MiB live, 64.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.1393990612391205e-8	0.02005115565107535
24.0ms	-1226981.879457853	-7.62611824572183e-6

Samples

26.0ms	142×	1	valid
10.0ms	162×	0	valid

Compiler

Compiled 481 to 318 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-sin: 8.0ms (30.9% of total)

ival-cos: 7.0ms (27% of total)

ival-add: 3.0ms (11.6% of total)

ival-mult: 3.0ms (11.6% of total)

ival-div: 2.0ms (7.7% of total)

adjust: 2.0ms (7.7% of total)

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

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

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	2.1393990612391205e-8	0.02005115565107535
1.0ms	-1226981.879457853	-7.62611824572183e-6

Compiler

Compiled 490 to 318 computations (35.1% saved)

bsearch50.0ms (0.4%)

Memory

-4.0MiB live, 79.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.153613761379443e-6	1.1044407553388464e-5
32.0ms	-7.783316975983229e+21	-17481993179903644.0

Samples

30.0ms	185×	1	valid
6.0ms	55×	0	valid

Compiler

Compiled 495 to 314 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-cos: 9.0ms (34.8% of total)

ival-sin: 6.0ms (23.2% of total)

adjust: 3.0ms (11.6% of total)

ival-mult: 3.0ms (11.6% of total)

ival-add: 2.0ms (7.7% of total)

ival-div: 2.0ms (7.7% of total)

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

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

bsearch54.0ms (0.4%)

Memory

-7.3MiB live, 69.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.1044407553388464e-5	886767.9532154166
23.0ms	-135427450361.34286	-12735726.937503833

Samples

21.0ms	129×	1	valid
19.0ms	159×	0	valid

Compiler

Compiled 591 to 374 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sin: 11.0ms (35.4% of total)

ival-cos: 9.0ms (28.9% of total)

ival-add: 3.0ms (9.6% of total)

ival-mult: 3.0ms (9.6% of total)

ival-div: 2.0ms (6.4% of total)

adjust: 2.0ms (6.4% of total)

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

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

bsearch58.0ms (0.5%)

Memory

12.6MiB live, 95.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	886767.9532154166	1643193758353304.0
29.0ms	-12735726.937503833	-6.559695333242822e-5

Samples

26.0ms	142×	1	valid
17.0ms	162×	0	valid

Compiler

Compiled 452 to 299 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sin: 11.0ms (35.7% of total)

ival-cos: 10.0ms (32.5% of total)

ival-mult: 3.0ms (9.7% of total)

ival-add: 2.0ms (6.5% of total)

ival-div: 2.0ms (6.5% of total)

adjust: 2.0ms (6.5% of total)

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

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

simplify12.0ms (0.1%)

Memory

-20.8MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	498
1	124	498
2	130	498
3	133	498
4	134	498

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (-.f64 a b) (/.f64 (-.f64 b a) (+.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (sin (neg b)))) (cos.f64 a)))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (sin (neg b)))) (cos.f64 a)))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))) #s(approx ( r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (sin (neg b)))) (cos.f64 a))))))
(if (<=.f64 b #s(literal -17500000000000000 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 3246626956972881/295147905179352825856 binary64)) (.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -150000000 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3800 binary64)) (.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -37 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 13000000 binary64)) (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))

Outputs
#s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (-.f64 a b) (/.f64 (-.f64 b a) (+.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (sin (neg b)))) (cos.f64 a)))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) #s(approx (* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (sin (neg b)))) (cos.f64 a)))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))) #s(approx ( r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (sin (neg b)))) (cos.f64 a))))))
(if (<=.f64 b #s(literal -17500000000000000 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 3246626956972881/295147905179352825856 binary64)) (.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -17500000000000000 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 3246626956972881/295147905179352825856 binary64)) (.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -150000000 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3800 binary64)) (.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -150000000 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 3800 binary64)) (.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -37 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 13000000 binary64)) (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos a) #s(literal 1 binary64)))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))

soundness1.4s (11.9%)

Memory

3.6MiB live, 620.5MiB allocated

Rules

9 408×	`lower-fma.f64`
9 408×	`lower-fma.f32`
9 066×	`lower-fma.f64`
9 066×	`lower-fma.f32`
8 298×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	1226
1	660	1174
2	2069	1116
3	7705	1116
0	8285	1075
0	42	250
0	74	261
1	244	190
2	1657	190
0	8788	190
0	647	7650
1	2063	7182
2	7195	7013
0	8137	6842
0	789	8936
1	2495	8273
0	8680	7974
0	762	8409
1	2402	7936
0	8069	7571
0	57	301
0	90	291
1	310	192
2	2282	192
0	8646	192
0	8	22
0	13	22
1	44	22
2	234	22
3	1985	22
0	10212	22

Stop Event

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

Compiler

Compiled 678 to 344 computations (49.3% saved)

preprocess105.0ms (0.9%)

Memory: -6.4MiB live, 111.4MiB allocated
Remove: (negabs r)
Compiler: Compiled 604 to 206 computations (65.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze399.0ms (3.3%)

sample1.7s (14%)

explain136.0ms (1.1%)

preprocess102.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize56.0ms (0.5%)

series250.0ms (2.1%)

simplify249.0ms (2.1%)

rewrite269.0ms (2.2%)

eval30.0ms (0.2%)

prune105.0ms (0.9%)

simplify167.0ms (1.4%)

localize354.0ms (2.9%)

series147.0ms (1.2%)

simplify367.0ms (3.1%)

rewrite376.0ms (3.1%)

eval213.0ms (1.8%)

prune439.0ms (3.7%)

simplify186.0ms (1.5%)

localize309.0ms (2.6%)

series49.0ms (0.4%)

simplify294.0ms (2.4%)

rewrite235.0ms (1.9%)

eval417.0ms (3.5%)

prune503.0ms (4.2%)

simplify215.0ms (1.8%)

localize391.0ms (3.2%)

series44.0ms (0.4%)

simplify311.0ms (2.6%)

rewrite353.0ms (2.9%)

eval250.0ms (2.1%)

prune615.0ms (5.1%)

regimes221.0ms (1.8%)

regimes200.0ms (1.7%)

regimes93.0ms (0.8%)

regimes60.0ms (0.5%)

regimes11.0ms (0.1%)

regimes20.0ms (0.2%)

regimes47.0ms (0.4%)

regimes18.0ms (0.1%)

regimes20.0ms (0.2%)

regimes28.0ms (0.2%)

regimes20.0ms (0.2%)

regimes20.0ms (0.2%)

bsearch50.0ms (0.4%)

bsearch2.0ms (0%)

bsearch50.0ms (0.4%)

bsearch54.0ms (0.4%)

bsearch58.0ms (0.5%)

simplify12.0ms (0.1%)

soundness1.4s (11.9%)

preprocess105.0ms (0.9%)

end0.0ms (0%)

Profiling