Metrics for rsin A (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze274.0ms (2.4%)

Memory

6.2MiB live, 400.8MiB 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)

sample1.9s (16.5%)

Memory

10.4MiB live, 1 846.0MiB allocated

Samples

1.2s	5 942×	1	valid
256.0ms	2 314×	0	valid

Precisions

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

ival-cos: 437.0ms (39.1% of total)

ival-sin: 241.0ms (21.6% of total)

ival-add: 158.0ms (14.2% of total)

adjust: 107.0ms (9.6% of total)

ival-mult: 91.0ms (8.2% of total)

ival-div: 73.0ms (6.5% of total)

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

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

Bogosity

explain188.0ms (1.7%)

Memory

25.0MiB live, 254.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
72	124	(-3.1531654099589324e-258 5.990636194876768e+99 5.327568535602742e-52)	-	`(cos.f64 (+.f64 a b))`
0	0	-	-	`(+.f64 a b)`
0	0	-	-	`(sin.f64 b)`
0	0	-	-	`a`
0	0	-	-	`(*.f64 r (sin.f64 b))`
0	0	-	-	`r`
0	0	-	-	`b`
0	0	-	-	`(/.f64 (*.f64 r (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	196	0

Confusion

	Predicted +	Predicted -
+	72	0
-	124	60

Precision

0.3673469387755102

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	124	0	60

Precision?

0.3673469387755102

Recall?

1.0

Freqs

test

number	freq
0	60
1	196

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

124.0ms	370×	1	valid
11.0ms	142×	0	valid

Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-cos: 43.0ms (55.1% of total)

ival-sin: 12.0ms (15.4% of total)

ival-add: 8.0ms (10.2% of total)

adjust: 7.0ms (9% of total)

ival-div: 4.0ms (5.1% of total)

ival-mult: 4.0ms (5.1% of total)

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

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

preprocess109.0ms (1%)

Memory

3.5MiB live, 39.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	88
1	89	84
2	193	84
3	478	84
4	1399	84
5	2338	84
6	2925	84
7	3299	84
8	3481	84
9	3698	84
10	3927	84
11	3933	84
12	3933	84
13	3941	84
14	3961	84
15	3969	84
16	3969	84
0	8	9
0	13	9
1	17	9
2	20	9
3	21	9
0	21	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.5%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

6.4MiB live, 6.4MiB 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 r (sin.f64 b))
cost-diff	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	13	25
1	17	25
2	20	25
3	21	25
0	21	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (0.6%)

Memory

-33.8MiB live, 54.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 b)
accuracy	0.12890625	(*.f64 r (sin.f64 b))
accuracy	0.19921875	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy	14.284867920962864	(cos.f64 (+.f64 a b))

Samples

61.0ms	185×	1	valid
6.0ms	71×	0	valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

adjust: 19.0ms (38.1% of total)

ival-sin: 16.0ms (32.1% of total)

ival-cos: 8.0ms (16% of total)

ival-add: 2.0ms (4% of total)

ival-div: 2.0ms (4% of total)

ival-mult: 2.0ms (4% of total)

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

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

series14.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify178.0ms (1.6%)

Memory

33.1MiB live, 247.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	960
1	517	928
2	1602	886
3	5424	885
0	8361	853

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite239.0ms (2.1%)

Memory

-65.7MiB live, 419.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	44	19
2	234	19
3	2050	19
0	8441	19

Stop Event

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

Counts

4 → 138

Calls

Call 1

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

Outputs
#<batchref>
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eval47.0ms (0.4%)

Memory: -8.5MiB live, 71.4MiB allocated
Compiler: Compiled 3 824 to 548 computations (85.7% saved)

prune50.0ms (0.4%)

Memory

7.7MiB live, 83.3MiB allocated

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	200	33	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	201	33	234

Accuracy

99.8%

Counts

234 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.7%	(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	37.9%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
▶	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))
▶	77.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
	79.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))))
	77.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
	48.4%	(/.f64 (.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))
	55.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
	53.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
	55.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
	54.4%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	56.1%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	57.7%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	55.7%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	51.8%	(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
	52.1%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	52.5%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
▶	77.4%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	76.6%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	77.3%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
▶	77.4%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	79.5%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
	77.5%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	77.4%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	77.3%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	77.4%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	77.4%	(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	37.9%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	52.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b))
	57.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
▶	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))

Compiler

Compiled 1 076 to 804 computations (25.3% saved)

simplify103.0ms (0.9%)

Memory

8.1MiB live, 123.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
cost-diff	14208	(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))
cost-diff	0	(neg.f64 (sin.f64 b))
cost-diff	0	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
cost-diff	128	(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
cost-diff	7168	(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))
cost-diff	0	(+.f64 a b)
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
cost-diff	384	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
cost-diff	0	(cos.f64 a)
cost-diff	0	(/.f64 r (cos.f64 a))
cost-diff	0	(*.f64 (/.f64 r (cos.f64 a)) b)
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	223
0	59	193
1	93	192
2	163	192
3	344	192
4	1327	192
5	3314	192
6	6602	192
7	7374	192
8	7778	192
0	8005	192

Stop Event

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

Calls

Call 1

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

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

localize249.0ms (2.2%)

Memory

11.6MiB live, 357.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34212875976844204	(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
accuracy	0.36328125	(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))
accuracy	14.271166043801863	(cos.f64 (-.f64 b a))
accuracy	14.284867920962864	(cos.f64 (+.f64 a b))
accuracy	0.171875	(/.f64 r (cos.f64 (+.f64 a b)))
accuracy	0.20703125	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
accuracy	0.2421875	(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))
accuracy	14.284867920962864	(cos.f64 (+.f64 a b))
accuracy	0.00390625	(sin.f64 b)
accuracy	0.23046875	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
accuracy	0.234375	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
accuracy	14.284867920962864	(cos.f64 (+.f64 a b))
accuracy	0	(cos.f64 a)
accuracy	0.10546875	(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy	0.13671875	(/.f64 r (cos.f64 a))
accuracy	30.41650647717167	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy	0.10222626953688405	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy	0.12890625	(*.f64 r (sin.f64 b))
accuracy	0.1953125	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy	0.19921875	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

Samples

193.0ms	182×	1	valid
22.0ms	74×	0	valid

Compiler

Compiled 220 to 32 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-cos: 38.0ms (21.9% of total)

ival-sin: 35.0ms (20.2% of total)

ival-neg: 35.0ms (20.2% of total)

ival-div: 25.0ms (14.4% of total)

ival-mult: 17.0ms (9.8% of total)

adjust: 10.0ms (5.8% of total)

ival-pow: 7.0ms (4% of total)

ival-add: 4.0ms (2.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series74.0ms (0.7%)

Memory

35.8MiB live, 192.7MiB allocated

Counts

22 → 552

Calls

Call 1

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

Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.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 #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.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 #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.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 #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (* b r) (taylor 0 a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) (taylor 0 a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt r (taylor 0 a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ r (* 1/2 (* (pow a 2) r))) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 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 (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (cos b) (sin b)) (taylor 0 a) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 a) (/ (cos b) (sin b))) (taylor 0 a) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) (taylor 0 a) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b))) (taylor 0 a) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (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 b (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (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 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (patch (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (patch (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (patch (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (patch (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (cos (- b a)) (taylor inf a) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b a)) (taylor inf a) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b a)) (taylor inf a) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b a)) (taylor inf a) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- b a))) (taylor inf a) (#s(alt (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (patch (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- b a))) (taylor inf a) (#s(alt (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (patch (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- b a))) (taylor inf a) (#s(alt (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (patch (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- b a))) (taylor inf a) (#s(alt (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (patch (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (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 (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) (sin b)) (taylor -inf a) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) (sin b)) (taylor -inf a) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) (sin b)) (taylor -inf a) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) (sin b)) (taylor -inf a) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 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 a (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (patch (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (patch (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (patch (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) (patch (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* b r) (cos a)) (taylor inf b) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
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#s(alt (/ (* b r) (cos a)) (taylor inf b) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
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#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)) (cos (+ a b))) (taylor inf r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor inf r) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor inf r) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor inf r) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor inf r) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor inf r) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor inf r) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor inf r) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor inf r) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (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)) (cos (+ a b))) (taylor -inf r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf r) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf r) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf r) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf r) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	b	@	0	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (neg (sin b)) (sin a)) (/ r (cos (+ a b))) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
7.0ms	b	@	-inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (neg (sin b)) (sin a)) (/ r (cos (+ a b))) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
7.0ms	a	@	-inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (neg (sin b)) (sin a)) (/ r (cos (+ a b))) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
7.0ms	r	@	-inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (neg (sin b)) (sin a)) (/ r (cos (+ a b))) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
7.0ms	a	@	inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (neg (sin b)) (sin a)) (/ r (cos (+ a b))) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))

simplify255.0ms (2.2%)

Memory

-11.5MiB live, 260.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	6338
1	1685	5991
2	5481	5866
0	8804	5645

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 543

Calls

Call 1

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

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

rewrite248.0ms (2.2%)

Memory

-7.4MiB live, 281.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	171
0	59	176
1	202	126
2	1299	126
0	8419	126

Stop Event

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

Counts

22 → 1 395

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval468.0ms (4.1%)

Memory: 36.1MiB live, 910.1MiB allocated
Compiler: Compiled 61 218 to 4 540 computations (92.6% saved)

prune270.0ms (2.4%)

Memory

-25.6MiB live, 524.9MiB allocated

Pruning

68 alts after pruning (66 fresh and 2 done)

	Pruned	Kept	Total
New	2 563	55	2 618
Fresh	17	11	28
Picked	3	2	5
Done	0	0	0
Total	2 583	68	2 651

Accuracy

100.0%

Counts

2 651 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.9%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64))
	98.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	53.5%	(/.f64 (.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
✓	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	45.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal -1 binary64))) (sin.f64 a))))
	63.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (neg.f64 b)) (sin.f64 a))))
	56.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a))))
	64.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
	55.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
▶	55.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	55.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	59.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	77.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))
	55.8%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))
	59.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
	57.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
	77.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
	55.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
	54.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
	56.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
▶	57.7%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
	55.7%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))
	99.4%	(/.f64 (.f64 #s(literal -1 binary64) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	77.4%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	52.1%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	52.5%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	99.5%	(/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
	99.3%	(/.f64 r (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (sin.f64 b)))
	86.5%	(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
	46.4%	(/.f64 r (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)))) (sin.f64 b)))
	38.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64))))
	57.6%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	55.6%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
	77.3%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	99.5%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	77.3%	(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	53.2%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)))
	56.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
	52.3%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	55.9%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	76.6%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	38.9%	(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	99.5%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))))
	54.4%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
▶	55.6%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
	99.4%	(.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
	77.4%	(.f64 (/.f64 (sin.f64 b) (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) (/.f64 (neg.f64 r) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
	77.5%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	77.1%	(.f64 (/.f64 (neg.f64 r) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (neg.f64 (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))))
	77.4%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	77.3%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	77.3%	(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
	77.4%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	37.9%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	57.7%	#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
✓	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	31.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	31.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	31.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	52.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
	52.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
▶	32.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 127 to 1 629 computations (23.4% saved)

simplify425.0ms (3.7%)

Memory

10.1MiB live, 119.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
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 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
cost-diff	0	(neg.f64 (sin.f64 b))
cost-diff	0	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
cost-diff	128	(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
cost-diff	7168	(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
cost-diff	0	(*.f64 b r)
cost-diff	0	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
cost-diff	0	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
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 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	300
0	73	295
1	121	292
2	185	273
3	335	269
4	877	269
5	2457	269
6	5046	269
7	6652	269
8	7711	269
0	8027	269

Stop Event

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

Calls

Call 1

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

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

localize277.0ms (2.4%)

Memory

-14.2MiB live, 438.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(*.f64 r (sin.f64 b))
accuracy	0.1953125	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy	0.19921875	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
accuracy	32.11299266637809	#s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))
accuracy	0.171875	(/.f64 r #s(approx (cos (+ a b)) (cos.f64 a)))
accuracy	0.20703125	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
accuracy	0.2421875	(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))
accuracy	28.374341216303588	#s(approx (cos (+ a b)) (cos.f64 a))
accuracy	0.00390625	(sin.f64 b)
accuracy	0.12890625	(*.f64 r (sin.f64 b))
accuracy	0.19921875	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
accuracy	30.25404151196478	#s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))
accuracy	0	(*.f64 b r)
accuracy	24.014322064996488	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy	30.41650647717167	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy	0.0625	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.09669877930532605	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.12890625	(*.f64 r (sin.f64 b))
accuracy	0.19921875	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

177.0ms	182×	1	valid
49.0ms	74×	0	valid

Compiler

Compiled 243 to 43 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-mult: 37.0ms (24.5% of total)

ival-cos: 32.0ms (21.2% of total)

ival-sin: 19.0ms (12.6% of total)

ival-div: 18.0ms (11.9% of total)

adjust: 13.0ms (8.6% of total)

ival-add: 9.0ms (6% of total)

ival-sub: 7.0ms (4.6% of total)

ival-pow: 7.0ms (4.6% of total)

const: 6.0ms (4% of total)

ival-neg: 3.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory

5.9MiB live, 88.0MiB allocated

Counts

20 → 504

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (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 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 b r))) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ r (cos a)) b) (.f64 b r)) (patch #s(approx ( (/ r (cos a)) b) (*.f64 b r)) #<representation binary64>) () ())
#s(alt (.f64 b r) (patch (.f64 b r) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))) (patch (/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)) (patch #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) (patch (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a)))) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (neg.f64 (sin.f64 b)) (patch (neg.f64 (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())
#s(alt #s(approx (cos (+ a b)) (cos.f64 a)) (patch #s(approx (cos (+ a b)) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (patch (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) #<representation binary64>) () ())
#s(alt #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (patch #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	b	@	0	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (cos (+ a b)) (/ r (cos (+ a b))) (cos a) (* (neg (sin b)) (sin a)))
4.0ms	b	@	inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (cos (+ a b)) (/ r (cos (+ a b))) (cos a) (* (neg (sin b)) (sin a)))
4.0ms	r	@	-inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (cos (+ a b)) (/ r (cos (+ a b))) (cos a) (* (neg (sin b)) (sin a)))
4.0ms	r	@	inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (cos (+ a b)) (/ r (cos (+ a b))) (cos a) (* (neg (sin b)) (sin a)))
3.0ms	r	@	0	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (cos (+ a b)) (/ r (cos (+ a b))) (cos a) (* (neg (sin b)) (sin a)))

simplify209.0ms (1.8%)

Memory

-2.5MiB live, 223.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	374	6071
1	1200	5774
2	4029	5711
0	8629	5512

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 502

Calls

Call 1

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

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

rewrite213.0ms (1.9%)

Memory

19.5MiB live, 192.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	229
0	73	224
1	270	204
2	1745	204
0	8456	204

Stop Event

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

Counts

20 → 388

Calls

Call 1

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

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eval205.0ms (1.8%)

Memory: -6.4MiB live, 259.3MiB allocated
Compiler: Compiled 24 654 to 1 983 computations (92% saved)

prune209.0ms (1.8%)

Memory

-18.9MiB live, 310.3MiB allocated

Pruning

79 alts after pruning (74 fresh and 5 done)

	Pruned	Kept	Total
New	1 147	24	1 171
Fresh	11	50	61
Picked	2	3	5
Done	0	2	2
Total	1 160	79	1 239

Accuracy

100.0%

Counts

1 239 → 79

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.9%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64))
	98.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	55.7%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
	53.5%	(/.f64 (.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	31.5%	(/.f64 (.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
	33.9%	(/.f64 (.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64))) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	59.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
	57.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
✓	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	45.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal -1 binary64))) (sin.f64 a))))
	63.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (neg.f64 b)) (sin.f64 a))))
	55.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	52.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a))))
	55.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
	59.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	77.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))
	55.8%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))
	59.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
	57.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
	77.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))
	54.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
	56.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
✓	57.7%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
	99.4%	(/.f64 (.f64 #s(literal -1 binary64) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	77.4%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	55.7%	(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r))
	32.5%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
	52.5%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	33.0%	(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
	99.5%	(/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
	86.5%	(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
	46.4%	(/.f64 r (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)))) (sin.f64 b)))
	38.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64))))
	57.6%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	55.6%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
	77.3%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
▶	99.5%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	77.3%	(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
▶	53.2%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)))
	56.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
	52.3%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	55.9%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	57.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
	38.9%	(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	28.2%	(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
	99.5%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))))
	54.4%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
	99.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
	55.8%	(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos a) (fma.f64 (fma.f64 (.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
	99.4%	(.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
	77.4%	(.f64 (/.f64 (sin.f64 b) (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) (/.f64 (neg.f64 r) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
	57.7%	(.f64 (/.f64 (sin.f64 b) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))) r)
	77.1%	(.f64 (/.f64 (neg.f64 r) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (neg.f64 (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))))
▶	77.4%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	55.7%	(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
	55.6%	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
	77.3%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
▶	77.3%	(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
	55.6%	(.f64 (.f64 (sin.f64 b) r) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64)))
	57.7%	(.f64 (sin.f64 b) (/.f64 r #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))))
	77.4%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	27.4%	(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
	37.9%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	29.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
✓	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	31.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	31.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
▶	31.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	52.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
	52.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
✓	32.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 370 to 1 861 computations (21.5% saved)

simplify123.0ms (1.1%)

Memory

14.7MiB live, 202.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))
cost-diff	0	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b))))
cost-diff	14208	(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
cost-diff	0	(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))
cost-diff	0	#s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))
cost-diff	0	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)))
cost-diff	6400	(/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)
cost-diff	0	(+.f64 a b)
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(/.f64 r (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
cost-diff	0	#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
cost-diff	0	(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b))
cost-diff	0	(-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))
cost-diff	0	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
cost-diff	13824	(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	338
0	78	340
1	118	320
2	194	310
3	336	310
4	633	310
5	1354	310
6	4232	310
7	5595	310
0	8103	307

Stop Event

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

Calls

Call 1

Inputs
(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
r
(-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
a
(cos.f64 b)
b
(sin.f64 b)
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
(.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
r
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 a a)
a
#s(literal -1/2 binary64)
#s(literal 1 binary64)
b
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)))
r
#s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))
(-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a))
(.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b)
(*.f64 #s(literal -1/3 binary64) (cos.f64 a))
#s(literal -1/3 binary64)
(cos.f64 a)
a
b
(sin.f64 a)
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))
(sin.f64 b)
b
(cos.f64 (-.f64 a b))
(-.f64 a b)
a
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)

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

localize324.0ms (2.9%)

Memory

11.1MiB live, 575.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b))))
accuracy	0.26171875	(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
accuracy	14.271166043801863	(cos.f64 (-.f64 a b))
accuracy	14.284867920962864	(cos.f64 (+.f64 a b))
accuracy	0.234375	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)))
accuracy	0.3515625	(.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b)
accuracy	16.13686754703042	(/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)
accuracy	30.08437568001064	#s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))
accuracy	0.00390625	(sin.f64 b)
accuracy	0.171875	(/.f64 r (cos.f64 (+.f64 a b)))
accuracy	0.20703125	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
accuracy	14.284867920962864	(cos.f64 (+.f64 a b))
accuracy	0.10546875	(.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)
accuracy	0.13671875	(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	30.41650647717167	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
accuracy	32.145059151105016	#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.1953125	(*.f64 (sin.f64 a) (sin.f64 b))
accuracy	0.22265625	(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b))
accuracy	0.234375	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
accuracy	6.744791213484511	(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))

Samples

244.0ms	183×	1	valid
38.0ms	73×	0	valid

Compiler

Compiled 276 to 42 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-div: 65.0ms (30.4% of total)

ival-mult: 60.0ms (28.1% of total)

ival-cos: 36.0ms (16.8% of total)

ival-sin: 18.0ms (8.4% of total)

adjust: 12.0ms (5.6% of total)

const: 12.0ms (5.6% of total)

ival-sub: 6.0ms (2.8% of total)

ival-add: 6.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series79.0ms (0.7%)

Memory

-13.7MiB live, 143.2MiB allocated

Counts

23 → 624

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (patch (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) #<representation binary64>) () ())
#s(alt (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (patch (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())
#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) (patch (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) #<representation binary64>) () ())
#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (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 (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (patch (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) #<representation binary64>) () ())
#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())

Outputs
#s(alt a (taylor 0 a) (#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* -1/6 (pow a 2)))) (taylor 0 a) (#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))) (taylor 0 a) (#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))) (taylor 0 a) (#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (cos b) (sin b)) (taylor 0 a) (#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 a) (/ (cos b) (sin b))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (cos b) (sin b)) (taylor 0 a) (#s(alt (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* (pow a 2) (cos b)) (sin b))) (/ (cos b) (sin b))) (taylor 0 a) (#s(alt (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* -1/2 (/ (cos b) (sin b))) (* 1/24 (/ (* (pow a 2) (cos b)) (sin b))))) (/ (cos b) (sin b))) (taylor 0 a) (#s(alt (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* -1/2 (/ (cos b) (sin b))) (* (pow a 2) (+ (* -1/720 (/ (* (pow a 2) (cos b)) (sin b))) (* 1/24 (/ (cos b) (sin b))))))) (/ (cos b) (sin b))) (taylor 0 a) (#s(alt (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) 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 #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) 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 #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) 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 #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (* b r) (taylor 0 a) (#s(alt (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (patch (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) (taylor 0 a) (#s(alt (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (patch (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) (taylor 0 a) (#s(alt (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (patch (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))) (taylor 0 a) (#s(alt (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (patch (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt r (taylor 0 a) (#s(alt (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (patch (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ r (* 1/2 (* (pow a 2) r))) (taylor 0 a) (#s(alt (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (patch (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) (taylor 0 a) (#s(alt (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (patch (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) (taylor 0 a) (#s(alt (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (patch (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow a 2))) (taylor 0 a) (#s(alt #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) (taylor 0 a) (#s(alt #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) (taylor 0 a) (#s(alt #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos b)) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) #<representation binary64>) () ())) ())
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#s(alt a (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
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#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf a) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf a) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf a) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf a) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
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#s(alt (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) (taylor inf a) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) b) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) (patch (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) b) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) (patch (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) b) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) (patch (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) b) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) (patch (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) (sin b)) (taylor -inf a) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) (sin b)) (taylor -inf a) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) (sin b)) (taylor -inf a) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) (sin b)) (taylor -inf a) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) (taylor -inf a) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) (taylor -inf a) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) (taylor -inf a) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) (taylor -inf a) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) (taylor -inf a) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) (taylor -inf a) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) (taylor -inf a) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) (taylor -inf a) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (neg (+ 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 (neg (+ 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 (neg (+ 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 (neg (+ 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 a) (sin b)) (taylor -inf a) (#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* b (cos a))) (taylor -inf a) (#s(alt (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (patch (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* b (cos a))) (taylor -inf a) (#s(alt (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (patch (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* b (cos a))) (taylor -inf a) (#s(alt (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (patch (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* b (cos a))) (taylor -inf a) (#s(alt (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (patch (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (sin a) (taylor 0 b) (#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (sin a) (taylor 0 b) (#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (sin a) (taylor 0 b) (#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (sin a) (taylor 0 b) (#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.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 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (pow (cos a) 2))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* -1 (* b (+ (/ (* r (* (sin a) (- (* -1/2 (cos a)) (* -1/6 (cos a))))) (pow (cos a) 3)) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (pow (cos a) 2)))) (cos a))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (pow (cos a) 2))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (cos a) b) (taylor 0 b) (#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (cos a) (* -1 (* b (sin a)))) b) (taylor 0 b) (#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (cos a) (* b (- (* b (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (sin a)))) b) (taylor 0 b) (#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (cos a) (* b (- (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a)))) (sin a)))) b) (taylor 0 b) (#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (cos a) b) (taylor 0 b) (#s(alt (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/3 (* b (cos a)))))) b) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) (patch (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) #<representation binary64>) () ())) ())
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#s(alt (/ (cos a) b) (taylor 0 b) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
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#s(alt (cos a) (taylor 0 b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (* -1 (/ (sin a) b)) (+ (* -1/3 (cos a)) (/ (cos a) (pow b 2))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) (patch (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (sin a) b)) (+ (* -1/3 (cos a)) (/ (cos a) (pow b 2))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) (patch (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) (patch #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (pow b 2) (cos a))) (taylor inf b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/3 (cos a)))) (taylor inf b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (+ (* -1/3 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) (taylor inf b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (+ (* -1/3 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) (taylor inf b) (#s(alt (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) (patch (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf b) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf b) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf b) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf b) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (- a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf b) (#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* b (cos a))) (taylor inf b) (#s(alt (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (patch (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* b (cos a))) (taylor inf b) (#s(alt (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (patch (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* b (cos a))) (taylor inf b) (#s(alt (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (patch (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* b (cos a))) (taylor inf b) (#s(alt (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (patch (.f64 (.f64 #s(literal -1/3 binary64) (cos.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 (sin a) (taylor -inf b) (#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (sin a) (taylor -inf b) (#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (sin a) (taylor -inf b) (#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (sin a) (taylor -inf b) (#s(alt (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a))) (taylor -inf b) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a))) (taylor -inf b) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a))) (taylor -inf b) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a))) (taylor -inf b) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (- (/ (* (cos a) (cos b)) (sin b)) (sin a)) (taylor -inf b) (#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (/ (* (cos a) (cos b)) (sin b)) (sin a)) (taylor -inf b) (#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (/ (* (cos a) (cos b)) (sin b)) (sin a)) (taylor -inf b) (#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (- (/ (* (cos a) (cos b)) (sin b)) (sin a)) (taylor -inf b) (#s(alt (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) (patch (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* (cos a) (cos b)) (sin b)) (taylor -inf b) (#s(alt (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* (cos a) (cos b)) (sin b)) (taylor -inf b) (#s(alt (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* (cos a) (cos b)) (sin b)) (taylor -inf b) (#s(alt (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* (cos a) (cos b)) (sin b)) (taylor -inf b) (#s(alt (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (patch (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) #<representation binary64>) () ())) ())
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#s(alt (/ r (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a))) (taylor -inf r) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a))) (taylor -inf r) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a))) (taylor -inf r) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a))) (taylor -inf r) (#s(alt (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) (patch (/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf r) (#s(alt (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (patch (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf r) (#s(alt (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (patch (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf r) (#s(alt (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (patch (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf r) (#s(alt (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) (patch (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf r) (#s(alt (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (patch (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf r) (#s(alt (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (patch (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf r) (#s(alt (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (patch (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf r) (#s(alt (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (patch (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) (patch (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) (patch (/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (patch (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	((/ (* (sin a) (sin b)) (sin b)) (/ r (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b)))) (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b))) (/ (* (cos a) (cos b)) (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) b) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) (* (* (/ (sin b) (cos (- a b))) (/ r (cos (+ a b)))) (cos (- a b))) (* (/ (sin b) (cos (- a b))) (/ r (cos (+ a b)))) (/ (sin b) (cos (- a b))) (sin b) (* (sin a) (sin b)) (* (* -1/3 (cos a)) b) (cos (- a b)))
7.0ms	b	@	-inf	((/ (* (sin a) (sin b)) (sin b)) (/ r (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b)))) (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b))) (/ (* (cos a) (cos b)) (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) b) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) (* (* (/ (sin b) (cos (- a b))) (/ r (cos (+ a b)))) (cos (- a b))) (* (/ (sin b) (cos (- a b))) (/ r (cos (+ a b)))) (/ (sin b) (cos (- a b))) (sin b) (* (sin a) (sin b)) (* (* -1/3 (cos a)) b) (cos (- a b)))
7.0ms	r	@	-inf	((/ (* (sin a) (sin b)) (sin b)) (/ r (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b)))) (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b))) (/ (* (cos a) (cos b)) (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) b) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) (* (* (/ (sin b) (cos (- a b))) (/ r (cos (+ a b)))) (cos (- a b))) (* (/ (sin b) (cos (- a b))) (/ r (cos (+ a b)))) (/ (sin b) (cos (- a b))) (sin b) (* (sin a) (sin b)) (* (* -1/3 (cos a)) b) (cos (- a b)))
6.0ms	a	@	inf	((/ (* (sin a) (sin b)) (sin b)) (/ r (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b)))) (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b))) (/ (* (cos a) (cos b)) (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) b) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) (* (* (/ (sin b) (cos (- a b))) (/ r (cos (+ a b)))) (cos (- a b))) (* (/ (sin b) (cos (- a b))) (/ r (cos (+ a b)))) (/ (sin b) (cos (- a b))) (sin b) (* (sin a) (sin b)) (* (* -1/3 (cos a)) b) (cos (- a b)))
6.0ms	b	@	0	((/ (* (sin a) (sin b)) (sin b)) (/ r (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b)))) (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b))) (/ (* (cos a) (cos b)) (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) b) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) (* (* (/ (sin b) (cos (- a b))) (/ r (cos (+ a b)))) (cos (- a b))) (* (/ (sin b) (cos (- a b))) (/ r (cos (+ a b)))) (/ (sin b) (cos (- a b))) (sin b) (* (sin a) (sin b)) (* (* -1/3 (cos a)) b) (cos (- a b)))

simplify177.0ms (1.6%)

Memory

35.2MiB live, 258.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	766	8201
1	2519	7671
0	8477	7409

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 615

Calls

Call 1

Inputs
a
(* a (+ 1 (* -1/6 (pow a 2))))
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (cos b) (sin b))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))
(/ (cos b) (sin b))
(+ (* -1/2 (/ (* (pow a 2) (cos b)) (sin b))) (/ (cos b) (sin b)))
(+ (* (pow a 2) (+ (* -1/2 (/ (cos b) (sin b))) (* 1/24 (/ (* (pow a 2) (cos b)) (sin b))))) (/ (cos b) (sin b)))
(+ (* (pow a 2) (+ (* -1/2 (/ (cos b) (sin b))) (* (pow a 2) (+ (* -1/720 (/ (* (pow a 2) (cos b)) (sin b))) (* 1/24 (/ (cos b) (sin b))))))) (/ (cos b) (sin b)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(* 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)))))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 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)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
b
(+ a b)
(+ a b)
(+ a b)
(/ (+ 1 (* -1/3 (pow b 2))) b)
(+ (* -1 a) (+ (* -1/3 b) (/ 1 b)))
(+ (* -1/3 b) (+ (* a (- (* a (- (* 1/6 b) (* 1/2 (/ 1 b)))) 1)) (/ 1 b)))
(+ (* -1/3 b) (+ (* a (- (* a (- (+ (* 1/6 a) (* 1/6 b)) (* 1/2 (/ 1 b)))) 1)) (/ 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)))
(/ (cos b) (sin b))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))
(+ 1 (* -1/3 (pow b 2)))
(+ 1 (+ (* -1 (* a b)) (* -1/3 (pow b 2))))
(+ 1 (+ (* -1/3 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/6 (pow b 2)) 1/2))))))
(+ 1 (+ (* -1/3 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/6 (pow b 2))) 1/2))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (* (cos b) (cos (neg b))))
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))) (/ (* r (sin b)) (* (cos b) (cos (neg b)))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (/ (* r (sin b)) (* (cos b) (cos (neg b)))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (* (cos b) (cos (neg b))))) (/ (* r (* (sin b) (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b)))))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (/ (* r (sin b)) (* (cos b) (cos (neg b)))))
(/ (sin b) (cos (neg b)))
(+ (/ (sin b) (cos (neg b))) (/ (* a (* (sin b) (sin (neg b)))) (pow (cos (neg b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos (neg b)) 3))) (* -1/2 (/ (sin b) (cos (neg b))))))) (* -1 (/ (* (sin b) (sin (neg b))) (pow (cos (neg b)) 2))))) (/ (sin b) (cos (neg b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg b))) (pow (cos (neg b)) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg b))) (pow (cos (neg b)) 2))) (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos (neg b)) 3))) (* -1/2 (/ (sin b) (cos (neg b)))))) (cos (neg b))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos (neg b)) 3))) (* -1/2 (/ (sin b) (cos (neg b))))))) (* -1 (/ (* (sin b) (sin (neg b))) (pow (cos (neg b)) 2))))) (/ (sin b) (cos (neg b))))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* -1/3 b)
(+ (* -1/3 b) (* 1/6 (* (pow a 2) b)))
(+ (* -1/3 b) (* (pow a 2) (+ (* -1/72 (* (pow a 2) b)) (* 1/6 b))))
(+ (* -1/3 b) (* (pow a 2) (+ (* 1/6 b) (* (pow a 2) (+ (* -1/72 b) (* 1/2160 (* (pow a 2) b)))))))
(cos (neg b))
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(sin a)
(sin a)
(sin a)
(sin a)
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(- (/ (* (cos a) (cos b)) (sin b)) (sin a))
(- (/ (* (cos a) (cos b)) (sin b)) (sin a))
(- (/ (* (cos a) (cos b)) (sin b)) (sin a))
(- (/ (* (cos a) (cos b)) (sin b)) (sin a))
(/ (* (cos a) (cos b)) (sin b))
(/ (* (cos a) (cos b)) (sin b))
(/ (* (cos a) (cos b)) (sin b))
(/ (* (cos a) (cos 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)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(/ (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) b)
(/ (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) b)
(/ (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) b)
(/ (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) b)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/3 (* 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)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/ (sin b) (cos (- a b)))
(/ (sin b) (cos (- a b)))
(/ (sin b) (cos (- a b)))
(/ (sin b) (cos (- a b)))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* -1/3 (* b (cos a)))
(* -1/3 (* b (cos a)))
(* -1/3 (* b (cos a)))
(* -1/3 (* b (cos a)))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(sin a)
(sin a)
(sin a)
(sin a)
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(- (/ (* (cos a) (cos b)) (sin b)) (sin a))
(- (/ (* (cos a) (cos b)) (sin b)) (sin a))
(- (/ (* (cos a) (cos b)) (sin b)) (sin a))
(- (/ (* (cos a) (cos b)) (sin b)) (sin a))
(/ (* (cos a) (cos b)) (sin b))
(/ (* (cos a) (cos b)) (sin b))
(/ (* (cos a) (cos b)) (sin b))
(/ (* (cos a) (cos b)) (sin 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))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) b)
(/ (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) b)
(/ (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) b)
(/ (+ (cos a) (* b (- (* -1/3 (* b (cos a))) (sin a)))) b)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
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(* (sin a) (sin b))
(* (sin a) (sin b))
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(* -1/3 (* b (cos a)))
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(* -1/3 (* b (cos a)))
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(sin a)
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(/ (+ (cos a) (* b (- (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a)))) (sin a)))) b)
(/ (cos a) b)
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(/ (* b r) (cos a))
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(/ r (cos a))
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a
(+ a b)
(+ a b)
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(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/3 (* b (cos a)))))) b)
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(/ (cos a) b)
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(cos a)
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(/ (* b r) (cos a))
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(/ b (cos a))
(* b (+ (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))
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(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (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 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
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(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(* b (sin a))
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(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* -1/3 (* b (cos a)))
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(* -1/3 (* b (cos a)))
(* -1/3 (* b (cos a)))
(cos a)
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(sin a)
(sin a)
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(sin a)
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(cos (+ a b))
(cos (+ a b))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
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(* -1/3 (* b (cos a)))
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(* b (+ (* -1 (/ (sin a) b)) (+ (* -1/3 (cos a)) (/ (cos a) (pow b 2)))))
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(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(* -1/3 (* (pow b 2) (cos a)))
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(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
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(/ (sin b) (cos (- a b)))
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(sin b)
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(cos (- a b))
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(/ r (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
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(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
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(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1/3 (* b (cos a)))
(* -1 (* b (+ (* 1/3 (cos a)) (/ (sin a) b))))
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(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
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(/ (sin b) (cos (+ a (* -1 b))))
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(/ r (cos (+ a b)))
(/ r (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)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (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)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ 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 (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (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)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))

Outputs
a
(* a (+ 1 (* -1/6 (pow a 2))))
(.f64 (fma.f64 (.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a)
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 a a) #s(literal 1/120 binary64)) (.f64 a a) #s(literal -1/6 binary64)) (.f64 a a) #s(literal 1 binary64)) a)
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (.f64 (neg.f64 r) (/.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)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (.f64 (neg.f64 r) (/.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)))) a (fma.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(/ (cos b) (sin b))
(/.f64 (cos.f64 b) (sin.f64 b))
(+ (* -1 a) (/ (cos b) (sin b)))
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1 binary64)) a (/.f64 (cos.f64 b) (sin.f64 b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal -1 binary64)) a (/.f64 (cos.f64 b) (sin.f64 b)))
(/ (cos b) (sin b))
(/.f64 (cos.f64 b) (sin.f64 b))
(+ (* -1/2 (/ (* (pow a 2) (cos b)) (sin b))) (/ (cos b) (sin b)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 a a)) (/.f64 (cos.f64 b) (sin.f64 b)) (/.f64 (cos.f64 b) (sin.f64 b)))
(+ (* (pow a 2) (+ (* -1/2 (/ (cos b) (sin b))) (* 1/24 (/ (* (pow a 2) (cos b)) (sin b))))) (/ (cos b) (sin b)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) (/.f64 (cos.f64 b) (sin.f64 b)) (.f64 (cos.f64 b) (/.f64 #s(literal -1/2 binary64) (sin.f64 b)))) (.f64 a a) (/.f64 (cos.f64 b) (sin.f64 b)))
(+ (* (pow a 2) (+ (* -1/2 (/ (cos b) (sin b))) (* (pow a 2) (+ (* -1/720 (/ (* (pow a 2) (cos b)) (sin b))) (* 1/24 (/ (cos b) (sin b))))))) (/ (cos b) (sin b)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 a a)) (/.f64 (cos.f64 b) (sin.f64 b)) (/.f64 (.f64 (cos.f64 b) #s(literal 1/24 binary64)) (sin.f64 b))) (.f64 a a) (.f64 (cos.f64 b) (/.f64 #s(literal -1/2 binary64) (sin.f64 b)))) (.f64 a a) (/.f64 (cos.f64 b) (sin.f64 b)))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (.f64 (neg.f64 r) (/.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)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (.f64 (neg.f64 r) (/.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)))) a (fma.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(* b r)
(*.f64 b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (.f64 (.f64 b r) #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) (.f64 b r))) (.f64 a a) (*.f64 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)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 a) a) (fma.f64 (.f64 b r) #s(literal 7/360 binary64) (.f64 (.f64 b r) #s(literal -5/48 binary64))) (.f64 (.f64 b r) #s(literal 5/24 binary64))) (.f64 a a) (.f64 #s(literal 1/2 binary64) (.f64 b r))) (.f64 a a) (*.f64 b r))
r
(+ r (* 1/2 (* (pow a 2) r)))
(fma.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64) r)
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (.f64 r #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) r)) (.f64 a a) r)
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 a) a) (fma.f64 r #s(literal 7/360 binary64) (.f64 r #s(literal -5/48 binary64))) (.f64 r #s(literal 5/24 binary64))) (.f64 a a) (.f64 #s(literal 1/2 binary64) r)) (.f64 a a) r)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (.f64 (neg.f64 r) (/.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)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (.f64 (neg.f64 r) (/.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)))) a (fma.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(fma.f64 (*.f64 (sin.f64 b) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (neg.f64 a) (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 r (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (.f64 (-.f64 (.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))) a (-.f64 (.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) a (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 r (cos.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b))
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(/ (+ 1 (* -1/3 (pow b 2))) b)
(/.f64 (fma.f64 (*.f64 b b) #s(literal -1/3 binary64) #s(literal 1 binary64)) b)
(+ (* -1 a) (+ (* -1/3 b) (/ 1 b)))
(-.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 #s(literal 1 binary64) b)) a)
(+ (* -1/3 b) (+ (* a (- (* a (- (* 1/6 b) (* 1/2 (/ 1 b)))) 1)) (/ 1 b)))
(fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) b)) a #s(literal -1 binary64)) a (fma.f64 #s(literal -1/3 binary64) b (/.f64 #s(literal 1 binary64) b)))
(+ (* -1/3 b) (+ (* a (- (* a (- (+ (* 1/6 a) (* 1/6 b)) (* 1/2 (/ 1 b)))) 1)) (/ 1 b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (+.f64 b a) (/.f64 #s(literal -1/2 binary64) b)) a #s(literal -1 binary64)) a (fma.f64 #s(literal -1/3 binary64) b (/.f64 #s(literal 1 binary64) b)))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (.f64 (neg.f64 r) (/.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)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
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(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/3 (cos a))))
(.f64 (fma.f64 (cos.f64 a) #s(literal -1/3 binary64) (/.f64 (-.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)) (neg.f64 b))) (.f64 b b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))
(/ (sin b) (cos (+ a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))
(/ (sin b) (cos (+ a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))
(/ (sin b) (cos (+ a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* -1/3 (* b (cos a)))
(.f64 (.f64 (cos.f64 a) b) #s(literal -1/3 binary64))
(* -1/3 (* b (cos a)))
(.f64 (.f64 (cos.f64 a) b) #s(literal -1/3 binary64))
(* -1/3 (* b (cos a)))
(.f64 (.f64 (cos.f64 a) b) #s(literal -1/3 binary64))
(* -1/3 (* b (cos a)))
(.f64 (.f64 (cos.f64 a) b) #s(literal -1/3 binary64))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 a b))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 a b))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 a b))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 a b))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/ r (- (/ (* (cos a) (cos b)) (sin b)) (sin a)))
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))

rewrite197.0ms (1.7%)

Memory

7.2MiB live, 323.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	263
0	78	243
1	256	239
2	1885	238
0	8292	238

Stop Event

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

Counts

23 → 758

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))
(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
(-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))
(/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
(.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)))
#s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))
(sin.f64 b)
(*.f64 (sin.f64 a) (sin.f64 b))
(.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b)
(cos.f64 (-.f64 a b))

Outputs
#<batchref>
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eval742.0ms (6.5%)

Memory: -0.5MiB live, 438.2MiB allocated
Compiler: Compiled 36 085 to 3 794 computations (89.5% saved)

prune241.0ms (2.1%)

Memory

0.4MiB live, 208.3MiB allocated

Pruning

77 alts after pruning (71 fresh and 6 done)

	Pruned	Kept	Total
New	1 586	34	1 620
Fresh	32	37	69
Picked	3	2	5
Done	1	4	5
Total	1 622	77	1 699

Accuracy

100.0%

Counts

1 699 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	55.7%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
	31.5%	(/.f64 (.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
	33.9%	(/.f64 (.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64))) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	63.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (neg.f64 b)) (sin.f64 a))))
	59.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
	56.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
✓	57.7%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
	99.4%	(/.f64 (.f64 #s(literal -1 binary64) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	77.4%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	55.7%	(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r))
	32.5%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
	52.5%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	33.0%	(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
	99.5%	(/.f64 r (fma.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) #s(literal -1 binary64))))
	99.4%	(/.f64 r (fma.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) #s(literal -1 binary64))))
	99.4%	(/.f64 r (fma.f64 (cos.f64 b) (.f64 (cos.f64 a) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (.f64 (sin.f64 a) #s(literal -1 binary64))))
	99.3%	(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (pow.f64 (sin.f64 a) #s(literal -1 binary64))) (.f64 (sin.f64 b) #s(literal 1 binary64))) (.f64 (sin.f64 b) (pow.f64 (sin.f64 a) #s(literal -1 binary64)))))
	57.6%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	55.6%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
	77.3%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	55.8%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(approx (/ ( (sin a) (sin b)) (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 a a) #s(literal 1/120 binary64)) (.f64 a a) #s(literal -1/6 binary64)) (.f64 a a) #s(literal 1 binary64)) a))))
	56.2%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(approx (/ ( (sin a) (sin b)) (sin b)) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))))
	56.6%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(approx (/ ( (sin a) (sin b)) (sin b)) (.f64 (fma.f64 (.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a))))
	99.5%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(approx (/ ( (sin a) (sin b)) (sin b)) (sin.f64 a))))
	99.4%	(/.f64 r (-.f64 (.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b))) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	77.3%	(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	53.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 #s(approx (* (* -1/3 (cos a)) b) (*.f64 #s(literal -1/3 binary64) b)) (sin.f64 a)) b (cos.f64 a)) b)))
	56.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) b)))
	52.3%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	33.2%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 #s(approx (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/3 binary64) #s(literal 1 binary64))) b)))
	32.3%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 #s(approx (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) (fma.f64 (neg.f64 b) a (fma.f64 (*.f64 b b) #s(literal -1/3 binary64) #s(literal 1 binary64)))) b)))
	2.7%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 #s(approx (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) (.f64 (.f64 (*.f64 (cos.f64 a) b) b) #s(literal -1/3 binary64))) b)))
	55.9%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	31.5%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) #s(approx (/ (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) b) (fma.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) b)) a #s(literal -1 binary64)) a (fma.f64 #s(literal -1/3 binary64) b (/.f64 #s(literal 1 binary64) b))))))
	31.5%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) #s(approx (/ (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (+.f64 b a) (/.f64 #s(literal -1/2 binary64) b)) a #s(literal -1 binary64)) a (fma.f64 #s(literal -1/3 binary64) b (/.f64 #s(literal 1 binary64) b))))))
	32.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) #s(approx (/ (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) b) (-.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 #s(literal 1 binary64) b)) a))))
	2.9%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) #s(approx (/ (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) b) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/3 binary64)))))
	99.4%	(/.f64 r #s(approx (- (/ (* (cos a) (cos b)) (sin b)) (/ (* (sin a) (sin b)) (sin b))) (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b))) (sin.f64 a))))
	57.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)) r))
	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
	38.9%	(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	28.2%	(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
	55.8%	(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos a) (fma.f64 (fma.f64 (.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
	57.7%	(.f64 (/.f64 (sin.f64 b) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))) r)
	80.8%	(.f64 (/.f64 r (-.f64 (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (sin.f64 a)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))
	99.6%	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	46.4%	(.f64 (/.f64 r (cos.f64 (/.f64 (-.f64 (.f64 b b) (*.f64 a a)) (-.f64 b a)))) (sin.f64 b))
✓	77.4%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	54.4%	(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))) (sin.f64 b))
	57.7%	(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
	55.7%	(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
	77.4%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b))
	55.6%	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
	77.3%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	55.6%	(.f64 (.f64 (sin.f64 b) r) (pow.f64 #s(approx (cos (+ a b)) (cos.f64 a)) #s(literal -1 binary64)))
	52.3%	(.f64 (.f64 #s(approx (/ (sin b) (cos (- a b))) (/.f64 b (cos.f64 a))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
	77.4%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	29.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	31.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))))
	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	31.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r)))
	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
	31.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (.f64 r b))))
✓	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	31.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	31.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
✓	31.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	52.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	31.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) r)) b))
	52.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
	31.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))))
	52.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
✓	32.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 3 393 to 1 438 computations (57.6% saved)

regimes306.0ms (2.7%)

Memory

9.0MiB live, 201.2MiB allocated

Counts

147 → 1

Calls

Call 1

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

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

Calls

4 calls:

111.0ms	a
50.0ms	b
45.0ms	r
41.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes325.0ms (2.9%)

Memory

6.4MiB live, 167.7MiB allocated

Counts

123 → 1

Calls

Call 1

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

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

Calls

4 calls:

159.0ms	a
72.0ms	b
56.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
33.0ms	r

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes198.0ms (1.7%)

Memory

-16.6MiB live, 110.4MiB allocated

Counts

89 → 1

Calls

Call 1

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

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

Calls

4 calls:

80.0ms	a
51.0ms	b
23.0ms	r
23.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
77.5%	1	`r`
77.5%	1	`a`
77.5%	1	`b`
77.5%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes78.0ms (0.7%)

Memory

-6.9MiB live, 77.9MiB allocated

Counts

42 → 1

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	b
15.0ms	a
12.0ms	r
12.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
77.5%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
77.5%	1	`a`
77.5%	1	`r`
77.5%	1	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes76.0ms (0.7%)

Memory

6.9MiB live, 83.6MiB allocated

Counts

41 → 1

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	a
17.0ms	b
12.0ms	r
11.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
77.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
77.4%	1	`a`
77.4%	1	`r`
77.4%	1	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes78.0ms (0.7%)

Memory

2.6MiB live, 82.5MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

30.0ms	b
23.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
11.0ms	r
11.0ms	a

Results

Accuracy	Segments	Branch
77.2%	3	`a`
63.6%	3	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
60.1%	2	`r`
77.2%	3	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes24.0ms (0.2%)

Memory

-23.2MiB live, 15.5MiB allocated

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
77.2%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes31.0ms (0.3%)

Memory

-5.5MiB live, 33.4MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

10.0ms	b
10.0ms	a

Results

Accuracy	Segments	Branch
77.1%	3	`a`
77.1%	3	`b`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes49.0ms (0.4%)

Memory

11.5MiB live, 50.4MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
9.0ms	a
8.0ms	b
8.0ms	r

Results

Accuracy	Segments	Branch
52.5%	1	`r`
52.5%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
52.5%	1	`a`
52.5%	1	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes34.0ms (0.3%)

Memory

-3.7MiB live, 38.8MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	r
6.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
6.0ms	a
6.0ms	b

Results

Accuracy	Segments	Branch
52.4%	1	`b`
52.4%	1	`r`
52.4%	1	`a`
52.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes31.0ms (0.3%)

Memory

-3.8MiB live, 35.3MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	a
5.0ms	b
5.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms	r

Results

Accuracy	Segments	Branch
52.4%	1	`a`
52.4%	1	`b`
52.4%	1	`r`
52.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes31.0ms (0.3%)

Memory

-3.4MiB live, 34.9MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	b
5.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms	a
5.0ms	r

Results

Accuracy	Segments	Branch
52.4%	1	`b`
52.4%	1	`a`
52.4%	1	`r`
52.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes19.0ms (0.2%)

Memory

28.7MiB live, 28.7MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	r
5.0ms	a
5.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms	b

Results

Accuracy	Segments	Branch
33.2%	1	`a`
33.2%	1	`b`
33.2%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
33.2%	1	`r`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes18.0ms (0.2%)

Memory

-9.2MiB live, 30.2MiB allocated

Accuracy

Total -1.7b remaining (-3.9%)

Threshold costs -1.7b (-3.9%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) #s(approx (/ (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) b) (-.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 #s(literal 1 binary64) b)) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) r)))

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

Calls

4 calls:

9.0ms	a
3.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms	r
3.0ms	b

Results

Accuracy	Segments	Branch
32.8%	1	`r`
32.8%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
32.8%	1	`a`
32.8%	1	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch91.0ms (0.8%)

Memory

-14.8MiB live, 80.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	6.836983698101076e-7	1767.7715368446766
55.0ms	-26899912112863.395	-5241.299056090188

Samples

50.0ms	157×	1	valid
24.0ms	147×	0	valid

Compiler

Compiled 563 to 470 computations (16.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 29.0ms (45.4% of total)

ival-mult: 13.0ms (20.4% of total)

ival-cos: 10.0ms (15.7% of total)

ival-sin: 8.0ms (12.5% of total)

adjust: 3.0ms (4.7% of total)

ival-div: 2.0ms (3.1% of total)

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

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

bsearch3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.836983698101076e-7	1767.7715368446766
1.0ms	-26899912112863.395	-5241.299056090188

Compiler

Compiled 563 to 470 computations (16.5% saved)

bsearch3.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.836983698101076e-7	1767.7715368446766
1.0ms	-26899912112863.395	-5241.299056090188

Compiler

Compiled 563 to 470 computations (16.5% saved)

simplify37.0ms (0.3%)

Memory

4.8MiB live, 42.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	381
1	114	380
2	124	380
3	129	380
4	132	380
5	133	380

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 r (fma.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 b #s(literal -5300 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 3458764513820541/72057594037927936 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (.f64 (/.f64 (sin.f64 b) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))) r)))
(if (<=.f64 b #s(literal -5300 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))) r) (if (<=.f64 b #s(literal 3458764513820541/72057594037927936 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (.f64 (/.f64 (sin.f64 b) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))) r)))
(if (<=.f64 b #s(literal -5300 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3458764513820541/72057594037927936 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 #s(approx (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/3 binary64) #s(literal 1 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Outputs
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 r (fma.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a) (*.f64 (sin.f64 a) #s(literal -1 binary64))))
(/.f64 r (fma.f64 (pow.f64 (tan.f64 b) #s(literal -1 binary64)) (cos.f64 a) (neg.f64 (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 b #s(literal -5300 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 3458764513820541/72057594037927936 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (.f64 (/.f64 (sin.f64 b) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))) r)))
(if (<=.f64 b #s(literal -5300 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 3458764513820541/72057594037927936 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (.f64 (/.f64 (sin.f64 b) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))) r)))
(if (<=.f64 b #s(literal -5300 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))) r) (if (<=.f64 b #s(literal 3458764513820541/72057594037927936 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (.f64 (/.f64 (sin.f64 b) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b))) r)))
(if (<=.f64 b #s(literal -5300 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3458764513820541/72057594037927936 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 #s(approx (+ (* (- (* (* -1/3 (cos a)) b) (sin a)) b) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/3 binary64) #s(literal 1 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

soundness1.6s (13.7%)

Memory

-2.4MiB live, 1 193.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	229
0	73	224
1	270	204
2	1745	204
0	8456	204
0	45	263
0	78	243
1	256	239
2	1885	238
0	8292	238
0	8	19
0	13	19
1	44	19
2	234	19
3	2050	19
0	8441	19
0	766	8201
1	2519	7671
0	8477	7409
0	167	960
1	517	928
2	1602	886
3	5424	885
0	8361	853
0	34	171
0	59	176
1	202	126
2	1299	126
0	8419	126
0	520	6338
1	1685	5991
2	5481	5866
0	8804	5645

Stop Event

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

Compiler

Compiled 536 to 294 computations (45.1% saved)

preprocess165.0ms (1.5%)

Memory: -18.8MiB live, 137.4MiB allocated
Remove: (negabs r)
Compiler: Compiled 652 to 280 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze274.0ms (2.4%)

sample1.9s (16.5%)

explain188.0ms (1.7%)

preprocess109.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize73.0ms (0.6%)

series14.0ms (0.1%)

simplify178.0ms (1.6%)

rewrite239.0ms (2.1%)

eval47.0ms (0.4%)

prune50.0ms (0.4%)

simplify103.0ms (0.9%)

localize249.0ms (2.2%)

series74.0ms (0.7%)

simplify255.0ms (2.2%)

rewrite248.0ms (2.2%)

eval468.0ms (4.1%)

prune270.0ms (2.4%)

simplify425.0ms (3.7%)

localize277.0ms (2.4%)

series51.0ms (0.4%)

simplify209.0ms (1.8%)

rewrite213.0ms (1.9%)

eval205.0ms (1.8%)

prune209.0ms (1.8%)

simplify123.0ms (1.1%)

localize324.0ms (2.9%)

series79.0ms (0.7%)

simplify177.0ms (1.6%)

rewrite197.0ms (1.7%)

eval742.0ms (6.5%)

prune241.0ms (2.1%)

regimes306.0ms (2.7%)

regimes325.0ms (2.9%)

regimes198.0ms (1.7%)

regimes78.0ms (0.7%)

regimes76.0ms (0.7%)

regimes78.0ms (0.7%)

regimes24.0ms (0.2%)

regimes31.0ms (0.3%)

regimes49.0ms (0.4%)

regimes34.0ms (0.3%)

regimes31.0ms (0.3%)

regimes31.0ms (0.3%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

bsearch91.0ms (0.8%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

simplify37.0ms (0.3%)

soundness1.6s (13.7%)

preprocess165.0ms (1.5%)

end0.0ms (0%)

Profiling