Metrics for rsin A (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze484.0ms (4.9%)

Memory

9.9MiB live, 324.4MiB 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)

sample1.8s (17.8%)

Memory

47.5MiB live, 1 809.6MiB allocated

Samples

1.0s	5 830×	1	valid
224.0ms	2 426×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 977.0ms

ival-cos: 337.0ms (34.5% of total)

ival-sin: 327.0ms (33.5% of total)

adjust: 99.0ms (10.1% of total)

ival-add: 81.0ms (8.3% of total)

ival-div: 66.0ms (6.8% of total)

ival-mult: 57.0ms (5.8% of total)

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

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

Bogosity

explain146.0ms (1.5%)

Memory

-2.9MiB live, 194.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
64	126	(-1.5523596826771366e-88 1.1591856418383179e-57 -6631.094443661247)	-	`(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	190	0

Confusion

	Predicted +	Predicted -
+	64	0
-	126	66

Precision

0.3368421052631579

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	0
-	126	0	66

Precision?

0.3368421052631579

Recall?

1.0

Freqs

test

number	freq
0	66
1	190

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

75.0ms	356×	1	valid
11.0ms	156×	0	valid

Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions

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

ival-sin: 28.0ms (43.5% of total)

ival-cos: 16.0ms (24.9% of total)

adjust: 6.0ms (9.3% of total)

ival-add: 5.0ms (7.8% of total)

ival-div: 4.0ms (6.2% of total)

ival-mult: 4.0ms (6.2% of total)

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

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

preprocess110.0ms (1.1%)

Memory

-10.0MiB live, 27.4MiB allocated

Algorithm

1×	egg-herbie

Rules

692×	`times-frac`
392×	`associate-r`
382×	`unsub-neg`
370×	`div-sub`
360×	`distribute-rgt-in`

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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.9%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

5.6MiB live, 5.6MiB 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)))

Rules

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

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

localize54.0ms (0.5%)

Memory

-3.3MiB live, 73.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 b)
accuracy	0.16015625	(*.f64 r (sin.f64 b))
accuracy	0.25390625	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy	14.008757465887452	(cos.f64 (+.f64 a b))

Samples

29.0ms	178×	1	valid
8.0ms	78×	0	valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

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

ival-sin: 9.0ms (34.6% of total)

ival-cos: 8.0ms (30.7% of total)

adjust: 3.0ms (11.5% of total)

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

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

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

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

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

series17.0ms (0.2%)

Memory

-3.0MiB live, 30.2MiB 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
5.0ms	r	@	-inf	((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
2.0ms	b	@	0	((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
1.0ms	a	@	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)))
1.0ms	r	@	inf	((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))

simplify277.0ms (2.8%)

Memory

-36.8MiB live, 277.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 934×	`lower-fma.f64`
10 934×	`lower-fma.f32`
4 746×	`lower-*.f64`
4 746×	`lower-*.f32`
2 894×	`lower-+.f64`

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)

rewrite166.0ms (1.7%)

Memory

28.7MiB live, 251.8MiB allocated

Rules

6 510×	`lower-*.f32`
6 508×	`lower-*.f64`
3 846×	`lower-fma.f64`
3 846×	`lower-fma.f32`
3 176×	`lower-/.f32`

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

eval34.0ms (0.3%)

Memory: -17.4MiB live, 63.7MiB allocated
Compiler: Compiled 3 822 to 552 computations (85.6% saved)

prune38.0ms (0.4%)

Memory

13.4MiB live, 89.3MiB allocated

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	199	34	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	34	234

Accuracy

99.8%

Counts

234 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.0%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64))
	77.3%	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
▶	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	79.6%	(/.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))) (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)))))
	99.2%	(/.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)))))))
	77.8%	(/.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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	79.6%	(/.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))) (pow.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))) #s(literal -1 binary64))))
	50.3%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b)))))
▶	51.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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))))
	51.3%	(/.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))))
	57.3%	(/.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))))
	51.4%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	58.0%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	60.2%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	53.6%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	50.0%	(/.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)))
	50.4%	(/.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)))
	50.5%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	77.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	77.4%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	77.3%	(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
	77.7%	(*.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)))
▶	77.8%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	77.8%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	79.6%	(.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))))
	77.9%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	77.9%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	77.9%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
▶	77.9%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	36.0%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	60.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
▶	50.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))

Compiler

Compiled 1 174 to 854 computations (27.3% saved)

simplify153.0ms (1.6%)

Memory

32.3MiB live, 150.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos (+ a b)) (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)))
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 (+ a b)) (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))))
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	(neg.f64 r)
cost-diff	0	(sin.f64 b)
cost-diff	0	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
cost-diff	448	(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a 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))))

Rules

5 266×	`lower-fma.f32`
5 258×	`lower-fma.f64`
2 208×	`lower-*.f32`
2 192×	`lower-*.f64`
1 422×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	294
0	74	290
1	129	285
2	246	277
3	490	277
4	1286	277
5	2665	277
6	4451	277
7	5680	277
8	6770	277
9	7580	277
0	8062	277

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

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

localize338.0ms (3.4%)

Memory

-40.3MiB live, 526.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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))))
accuracy	0.2890625	(*.f64 #s(literal 1/6 binary64) b)
accuracy	3.1743286620574063	(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))
accuracy	31.66956252995131	#s(approx (cos (+ a b)) (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)))
accuracy	0.19921875	(*.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	(/.f64 r (cos.f64 (+.f64 a b)))
accuracy	0.25390625	(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))
accuracy	14.008757465887452	(cos.f64 (+.f64 a b))
accuracy	0.171875	(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))
accuracy	0.19921875	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
accuracy	0.21875	(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
accuracy	14.008757465887452	(cos.f64 (+.f64 a b))
accuracy	0.00390625	(cos.f64 a)
accuracy	0.109375	(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy	0.12109375	(/.f64 r (cos.f64 a))
accuracy	31.615363938154516	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy	0.13804261891570707	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy	0.16015625	(*.f64 r (sin.f64 b))
accuracy	0.23828125	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy	0.25390625	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

Samples

224.0ms	174×	1	valid
50.0ms	82×	0	valid

Compiler

Compiled 257 to 40 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-cos: 64.0ms (32.5% of total)

ival-mult: 35.0ms (17.8% of total)

ival-sin: 30.0ms (15.2% of total)

adjust: 22.0ms (11.2% of total)

ival-div: 20.0ms (10.2% of total)

ival-add: 11.0ms (5.6% of total)

ival-pow: 6.0ms (3% of total)

const: 5.0ms (2.5% of total)

ival-neg: 3.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series83.0ms (0.8%)

Memory

33.1MiB live, 69.6MiB allocated

Counts

23 → 564

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 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (patch (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) #<representation:binary64>) () ())
#s(alt (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) (patch (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) #<representation:binary64>) () ())
#s(alt (neg.f64 r) (patch (neg.f64 r) #<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 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) (patch (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) #<representation:binary64>) () ())
#s(alt #s(approx (cos (+ a b)) (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))) (patch #s(approx (cos (+ a b)) (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))) #<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 (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation:binary64>) () ())
#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation:binary64>) () ())
#s(alt (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)) (patch (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)) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) b) (patch (.f64 #s(literal 1/6 binary64) 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>) () ())) ())
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#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)) #s(approx (cos (+ a b)) (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)))) (patch (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) #<representation:binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (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))) (patch #s(approx (cos (+ a b)) (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))) #<representation:binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (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))) (patch #s(approx (cos (+ a b)) (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))) #<representation:binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (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))) (patch #s(approx (cos (+ a b)) (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))) #<representation:binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 (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))) (patch #s(approx (cos (+ a b)) (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))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* b (sin a))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation:binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation:binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation:binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation:binary64>) () ())) ())
#s(alt (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 (/ -1 (cos a)) (taylor 0 b) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation:binary64>) () ())) ())
#s(alt (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))) (taylor 0 b) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation:binary64>) () ())) ())
#s(alt (- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) (taylor 0 b) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation:binary64>) () ())) ())
#s(alt (- (* 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))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))) (taylor 0 b) (#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation:binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor 0 b) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation:binary64>) () ())) ())
#s(alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) (taylor 0 b) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 b) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 b) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (sin a)) (taylor 0 b) (#s(alt (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)) (patch (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)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))) (taylor 0 b) (#s(alt (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)) (patch (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)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))) (taylor 0 b) (#s(alt (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)) (patch (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)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))) (taylor 0 b) (#s(alt (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)) (patch (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)) #<representation:binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor 0 b) (#s(alt (.f64 #s(literal 1/6 binary64) b) (patch (.f64 #s(literal 1/6 binary64) b) #<representation:binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor 0 b) (#s(alt (.f64 #s(literal 1/6 binary64) b) (patch (.f64 #s(literal 1/6 binary64) b) #<representation:binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor 0 b) (#s(alt (.f64 #s(literal 1/6 binary64) b) (patch (.f64 #s(literal 1/6 binary64) b) #<representation:binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor 0 b) (#s(alt (.f64 #s(literal 1/6 binary64) b) (patch (.f64 #s(literal 1/6 binary64) b) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (.f64 r (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 b) (#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 b) (#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 b) (#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 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt #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 b) (#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 b) (#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 b) (#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 b) (#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 b) (#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 b) (#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 b) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation:binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (patch (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) #<representation:binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (patch (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) #<representation:binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (patch (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) #<representation:binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (patch (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) (patch (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) (patch (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 r) (taylor inf r) (#s(alt (neg.f64 r) (patch (neg.f64 r) #<representation:binary64>) () ())) ())
#s(alt (* -1 r) (taylor inf r) (#s(alt (neg.f64 r) (patch (neg.f64 r) #<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)) #s(approx (cos (+ a b)) (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)))) (patch (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) (patch (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) (patch (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) (patch (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) #<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 (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (patch (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) #<representation:binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (patch (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) #<representation:binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (patch (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) #<representation:binary64>) () ())) ())
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (patch (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) (patch (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) (patch (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) (patch (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) (patch (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) #<representation:binary64>) () ())) ())
#s(alt (* -1 r) (taylor -inf r) (#s(alt (neg.f64 r) (patch (neg.f64 r) #<representation:binary64>) () ())) ())
#s(alt (* -1 r) (taylor -inf r) (#s(alt (neg.f64 r) (patch (neg.f64 r) #<representation:binary64>) () ())) ())
#s(alt (* -1 r) (taylor -inf r) (#s(alt (neg.f64 r) (patch (neg.f64 r) #<representation:binary64>) () ())) ())
#s(alt (* -1 r) (taylor -inf r) (#s(alt (neg.f64 r) (patch (neg.f64 r) #<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)) #s(approx (cos (+ a b)) (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)))) (patch (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) (patch (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) (patch (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) #<representation:binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) (patch (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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)))) #<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
15.0ms	r	@	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) (* (neg r) (/ -1 (cos (+ a b)))) (* (sin b) (* (neg r) (/ -1 (cos (+ a b))))) (neg r) (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 (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) -1/2) b)) (* 1/6 b))
12.0ms	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) (* (neg r) (/ -1 (cos (+ a b)))) (* (sin b) (* (neg r) (/ -1 (cos (+ a b))))) (neg r) (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 (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) -1/2) b)) (* 1/6 b))
8.0ms	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) (* (neg r) (/ -1 (cos (+ a b)))) (* (sin b) (* (neg r) (/ -1 (cos (+ a b))))) (neg r) (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 (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) -1/2) b)) (* 1/6 b))
6.0ms	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) (* (neg r) (/ -1 (cos (+ a b)))) (* (sin b) (* (neg r) (/ -1 (cos (+ a b))))) (neg r) (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 (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) -1/2) b)) (* 1/6 b))
5.0ms	a	@	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) (* (neg r) (/ -1 (cos (+ a b)))) (* (sin b) (* (neg r) (/ -1 (cos (+ a b))))) (neg r) (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 (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (cos (+ a b)) (/ -1 (cos (+ a b))) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) -1/2) b)) (* 1/6 b))

simplify236.0ms (2.4%)

Memory

-14.5MiB live, 293.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 966×	`lower-*.f64`
7 966×	`lower-*.f32`
7 740×	`lower-fma.f64`
7 740×	`lower-fma.f32`
2 432×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	464	6683
1	1460	6383
2	4905	6311
0	8460	6070

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 561

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 (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)))
(/ (* 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)))
(/ (* 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))))
(* -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)))))))))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(/ -1 (cos b))
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b)))
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b)))
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (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)))
(* -1/2 b)
(+ (* -1/2 b) (* a (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* 1/4 (* a b))) 1)))
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* a (+ (* -1/6 (* a (- (* 1/6 (pow b 2)) 1))) (* 1/4 b)))) 1)))
(/ (* 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 (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)))
(/ (* 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))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ -1 (cos (+ a b)))
(/ -1 (cos (+ a b)))
(/ -1 (cos (+ a b)))
(/ -1 (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(/ (* 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 (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (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)) (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)) (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)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(/ -1 (cos (- b (* -1 a))))
(/ -1 (cos (- b (* -1 a))))
(/ -1 (cos (- b (* -1 a))))
(/ -1 (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 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))))
(* 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))
(/ 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)))
(/ (* 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
(* 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 (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin 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)))))))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(/ -1 (cos a))
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))
(- (* 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))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(* -1 (sin a))
(+ (* -1 (sin a)) (* -1/2 (* b (cos a))))
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 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 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 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)))
(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)) (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))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ -1 (cos (+ a b)))
(/ -1 (cos (+ a b)))
(/ -1 (cos (+ a b)))
(/ -1 (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(* 1/6 (* (pow b 2) (sin a)))
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))))
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))))
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 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))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (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))))
(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)) (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)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ -1 (cos (- a (* -1 b))))
(/ -1 (cos (- a (* -1 b))))
(/ -1 (cos (- a (* -1 b))))
(/ -1 (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(* 1/6 (* (pow b 2) (sin a)))
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a))))
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a))))
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 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 (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)))
(* -1 r)
(* -1 r)
(* -1 r)
(* -1 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 (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 (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)))
(* -1 r)
(* -1 r)
(* -1 r)
(* -1 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 (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 (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)))
(* -1 r)
(* -1 r)
(* -1 r)
(* -1 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 (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 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) r)) (/.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 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) r)) (/.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))
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r
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1
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(/ r (cos b))
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(* -1 (* a (sin b)))
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(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(* -1 r)
(neg.f64 r)
(* -1 r)
(neg.f64 r)
(* -1 r)
(neg.f64 r)
(* -1 r)
(neg.f64 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 (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 (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ 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)))
(* -1 r)
(neg.f64 r)
(* -1 r)
(neg.f64 r)
(* -1 r)
(neg.f64 r)
(* -1 r)
(neg.f64 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 (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)))

rewrite230.0ms (2.3%)

Memory

35.5MiB live, 383.7MiB allocated

Rules

5 952×	`lower-fma.f32`
5 944×	`lower-fma.f64`
4 170×	`lower-*.f32`
4 154×	`lower-*.f64`
3 764×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	206
0	74	217
1	245	175
2	1558	175
0	8311	175

Stop Event

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

Counts

23 → 830

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

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

eval376.0ms (3.8%)

Memory: -25.5MiB live, 559.5MiB allocated
Compiler: Compiled 36 301 to 3 154 computations (91.3% saved)

prune225.0ms (2.3%)

Memory

-15.8MiB live, 304.4MiB allocated

Pruning

78 alts after pruning (76 fresh and 2 done)

	Pruned	Kept	Total
New	1 706	64	1 770
Fresh	17	12	29
Picked	3	2	5
Done	0	0	0
Total	1 726	78	1 804

Accuracy

99.9%

Counts

1 804 → 78

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (/.f64 (neg.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))))
	98.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	48.8%	(/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	47.2%	(/.f64 (.f64 r (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (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)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.3%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.3%	(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
	50.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) (sin.f64 a))))
	48.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (sin.f64 b))))) (sin.f64 a))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	54.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
	55.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)) (sin.f64 a))))
▶	65.7%	(/.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)))))
	61.3%	(/.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))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	50.3%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b)))))
	51.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	58.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	60.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
	53.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
	51.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ ( (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) -1/2) b)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
	50.0%	(/.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)))
	50.3%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (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))))
	77.8%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	50.4%	(/.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)))
	50.5%	(/.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 (+ a b)) (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))))
	50.5%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	50.4%	(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (cos (+ a b)) (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))))
	77.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	77.8%	(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
	77.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b)) (neg.f64 r)))
	77.4%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	77.3%	(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
	38.5%	(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	39.0%	(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	39.0%	(.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	63.9%	(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	99.2%	(.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)))))
	60.2%	(*.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 b))))
	53.5%	(*.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))))
	51.1%	(.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	50.4%	(*.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	77.8%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
	77.8%	(.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	77.9%	(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
	77.8%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
▶	77.9%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	77.8%	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
	77.7%	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
	77.9%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	38.5%	(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
	77.8%	(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)))
	52.9%	(.f64 (sin.f64 b) (.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	99.3%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))))
	99.2%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (-.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))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))))))
	77.9%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))))))
	51.4%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))))
	60.2%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b)))))
	53.6%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a)))))
	45.5%	(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))))
	60.2%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b))))
	53.5%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 a))))
	38.1%	(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 r (cos.f64 (+.f64 a b))))
	36.0%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	50.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	50.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	49.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
	50.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
▶	50.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
✓	50.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	31.5%	#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))
	31.6%	#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))
	50.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	26.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (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)) b))
	27.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
	50.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
▶	32.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 375 to 1 919 computations (19.2% saved)

simplify159.0ms (1.6%)

Memory

12.8MiB live, 86.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.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)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
cost-diff	0	(pow.f64 (cos.f64 a) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
cost-diff	6080	(*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64))))
cost-diff	6848	(/.f64 b (pow.f64 r #s(literal -1 binary64)))
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
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))))

Rules

1 696×	`lower-fma.f32`
1 692×	`lower-fma.f64`
1 328×	`lower-*.f32`
1 316×	`lower-*.f64`
782×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	232
0	65	230
1	101	230
2	145	222
3	208	222
4	294	222
5	413	222
6	624	222
7	1101	222
8	1474	222
9	2507	222
10	3338	222
11	3991	222
12	4351	222
13	4427	222
14	4433	222
15	4439	222
16	4441	222
17	4487	222
18	4507	222
19	4507	222
0	4507	222

Stop Event

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

localize192.0ms (1.9%)

Memory

-5.5MiB live, 307.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.13804261891570707	(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))
accuracy	0.16015625	(*.f64 r (sin.f64 b))
accuracy	0.25390625	(/.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)))))
accuracy	29.956637438396665	#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))
accuracy	0.11328125	(pow.f64 (cos.f64 a) #s(literal -1 binary64))
accuracy	0.154628759768442	(*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64))))
accuracy	0.2265625	(/.f64 b (pow.f64 r #s(literal -1 binary64)))
accuracy	31.615363938154516	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
accuracy	0	(sin.f64 b)
accuracy	0.2109375	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	0.21875	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
accuracy	14.008757465887452	(cos.f64 (+.f64 a b))
accuracy	0	(*.f64 b r)
accuracy	23.31573527532561	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy	31.615363938154516	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy	0.0703125	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.15481354494288058	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.16015625	(*.f64 r (sin.f64 b))
accuracy	0.25390625	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

132.0ms	176×	1	valid
29.0ms	80×	0	valid

Compiler

Compiled 194 to 34 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-cos: 32.0ms (24.2% of total)

ival-add: 26.0ms (19.6% of total)

ival-mult: 22.0ms (16.6% of total)

ival-div: 19.0ms (14.3% of total)

ival-sin: 13.0ms (9.8% of total)

adjust: 10.0ms (7.6% of total)

ival-pow: 7.0ms (5.3% of total)

ival-neg: 3.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.7%)

Memory

8.8MiB live, 134.2MiB allocated

Counts

18 → 492

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	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) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ b (pow r -1)) (* (pow (cos a) -1) (/ b (pow r -1))) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (/ (* 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)) (* (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) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ b (pow r -1)) (* (pow (cos a) -1) (/ b (pow r -1))) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (/ (* 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)) (* (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) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ b (pow r -1)) (* (pow (cos a) -1) (/ b (pow r -1))) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (/ (* 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)) (* (neg (sin b)) (sin a)))
4.0ms	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) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ b (pow r -1)) (* (pow (cos a) -1) (/ b (pow r -1))) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (/ (* 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)) (* (neg (sin b)) (sin a)))
3.0ms	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) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ b (pow r -1)) (* (pow (cos a) -1) (/ b (pow r -1))) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (/ (* 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)) (* (neg (sin b)) (sin a)))

simplify265.0ms (2.7%)

Memory

26.6MiB live, 295.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 742×	`lower-fma.f64`
9 742×	`lower-fma.f32`
7 476×	`lower-*.f64`
7 476×	`lower-*.f32`
3 340×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	6018
1	1173	5710
2	3940	5650
0	8479	5472

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 491

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)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(* 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)))
1
(+ 1 (* 1/2 (pow a 2)))
(+ 1 (* (pow a 2) (+ 1/2 (* 5/24 (pow a 2)))))
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 5/24 (* 61/720 (pow a 2)))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (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)))))))
(* -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)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* 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)))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -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))
(* -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))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (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))))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -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))
(* -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))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(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)
(* b r)
(* b r)
(* b r)
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (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 (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)))))))
(* -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)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* 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)))
(/ (* 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))
(* -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))))
(/ (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)))
(cos (- a (* -1 b)))
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* 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))))
(/ (* 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))
(* -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)))
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* 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)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (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)))
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* 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)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (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)))
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* 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)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))

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

rewrite236.0ms (2.4%)

Memory

-14.6MiB live, 337.8MiB allocated

Rules

6 694×	`lower-fma.f32`
6 690×	`lower-fma.f64`
5 152×	`lower-*.f32`
5 140×	`lower-*.f64`
3 888×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	181
0	65	193
1	194	157
2	1067	157
0	8829	157

Stop Event

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

Counts

18 → 677

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

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

eval269.0ms (2.7%)

Memory: -4.6MiB live, 546.0MiB allocated
Compiler: Compiled 27 617 to 2 235 computations (91.9% saved)

prune162.0ms (1.6%)

Memory

9.7MiB live, 406.5MiB allocated

Pruning

84 alts after pruning (79 fresh and 5 done)

	Pruned	Kept	Total
New	1 272	26	1 298
Fresh	18	53	71
Picked	2	3	5
Done	0	2	2
Total	1 292	84	1 376

Accuracy

99.9%

Counts

1 376 → 84

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.6%	(/.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))
	99.2%	(/.f64 (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
	77.8%	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))
	99.2%	(/.f64 (/.f64 (neg.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))))
▶	77.7%	(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (.f64 (pow.f64 r #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b))))
	47.2%	(/.f64 (.f64 r (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (sin.f64 b))))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.2%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	61.3%	(/.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))))
	54.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
	99.3%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.3%	(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
	50.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) (sin.f64 a))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	54.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
	55.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)) (sin.f64 a))))
	61.3%	(/.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))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	50.3%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b)))))
	51.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	58.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	60.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
	51.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ ( (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) -1/2) b)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
	39.4%	(/.f64 (.f64 r #s(approx (sin b) (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))) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
	50.0%	(/.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)))
	50.3%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (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))))
	77.8%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	50.4%	(/.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)))
	50.5%	(/.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 (+ a b)) (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))))
	39.9%	(/.f64 #s(approx (* r (sin b)) (.f64 b r)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
	50.5%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	50.4%	(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (cos (+ a b)) (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))))
	77.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	77.8%	(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
	77.4%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	77.4%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (neg.f64 r)))
	38.5%	(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	39.0%	(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	39.0%	(.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	60.2%	(*.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 b))))
	53.5%	(*.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))))
	51.1%	(.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	50.4%	(*.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
▶	77.8%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
	77.8%	(.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
▶	99.4%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
	65.7%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))) r)
✓	77.9%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	51.4%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r)
	60.2%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
	53.6%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	77.8%	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
	77.7%	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
	77.9%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	38.5%	(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
	99.2%	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.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))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))
	77.8%	(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)))
	52.9%	(.f64 (sin.f64 b) (.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	99.3%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))))
	60.2%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b)))))
	53.6%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a)))))
	45.5%	(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))))
▶	60.2%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b))))
	53.5%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 a))))
	38.1%	(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 r (cos.f64 (+.f64 a b))))
	37.5%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))) r)
	50.5%	(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
	50.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a))))
	50.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	49.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
	50.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
✓	50.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	31.5%	#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))
	31.6%	#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))
	50.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	26.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (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)) b))
▶	27.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
	32.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
	32.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
	32.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) b))))
	32.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 r (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))))
✓	32.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 395 to 1 965 computations (18% saved)

simplify180.0ms (1.8%)

Memory

-14.1MiB live, 135.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 r #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b))
cost-diff	5824	(pow.f64 r #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
cost-diff	832	(/.f64 (neg.f64 r) #s(literal -1 binary64))
cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
cost-diff	0	(/.f64 r (cos.f64 b))
cost-diff	0	#s(approx (* (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b))))
cost-diff	0	(fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)
cost-diff	0	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
cost-diff	0	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) 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 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
cost-diff	0	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)

Rules

2 506×	`lower-fma.f32`
2 502×	`lower-fma.f64`
1 950×	`lower-*.f32`
1 932×	`lower-*.f64`
1 824×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	280
0	78	274
1	129	271
2	243	259
3	531	257
4	1268	257
5	2732	257
6	4487	257
7	6479	257
8	7025	257
9	7175	257
10	7247	257
11	7271	257
12	7702	257
13	7967	257
0	8025	257

Stop Event

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

Calls

Call 1

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

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

localize251.0ms (2.6%)

Memory

13.7MiB live, 322.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(*.f64 (pow.f64 r #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b)))
accuracy	0.28744125976844204	(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (.f64 (pow.f64 r #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b))))
accuracy	0.328125	(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b))
accuracy	14.008757465887452	(cos.f64 (+.f64 a b))
accuracy	0.171875	(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))
accuracy	0.21875	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
accuracy	0.3255462890737681	(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
accuracy	14.008757465887452	(cos.f64 (+.f64 a b))
accuracy	0	(cos.f64 b)
accuracy	0.1328125	(/.f64 r (cos.f64 b))
accuracy	0.19921875	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b))))
accuracy	27.60133116034215	#s(approx (* (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b)))
accuracy	0.109375	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
accuracy	7.552194526169669	(.f64 (.f64 a a) r)
accuracy	29.98410628389519	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
accuracy	31.615363938154516	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
accuracy	0.13804261891570707	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy	0.2109375	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
accuracy	0.21875	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
accuracy	0.23828125	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))

Samples

133.0ms	174×	1	valid
57.0ms	82×	0	valid

Compiler

Compiled 242 to 42 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-div: 44.0ms (29% of total)

ival-mult: 27.0ms (17.8% of total)

ival-add: 24.0ms (15.8% of total)

ival-cos: 24.0ms (15.8% of total)

ival-sin: 13.0ms (8.6% of total)

adjust: 9.0ms (5.9% of total)

ival-pow: 6.0ms (4% of total)

ival-sqrt: 2.0ms (1.3% of total)

ival-neg: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series76.0ms (0.8%)

Memory

22.5MiB live, 133.5MiB allocated

Counts

23 → 600

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	a	@	-inf	((* (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) r) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (sin b) (* (neg r) (/ -1 (cos (+ a b))))) (* (neg r) (/ -1 (cos (+ a b)))) (/ r (cos b)) (/ (/ -1 (cos (+ a b))) (/ -1 (sin b))) (/ (neg r) -1) (* (/ (/ -1 (cos (+ a b))) (/ -1 (sin b))) (/ (neg r) -1)) (/ -1 (cos (+ a b))) (pow r 1/2) (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b))) (* (neg (sin b)) (sin a)) (* (* a a) r) (cos b) (cos (+ a b)) (/ (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b)))))
7.0ms	r	@	0	((* (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) r) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (sin b) (* (neg r) (/ -1 (cos (+ a b))))) (* (neg r) (/ -1 (cos (+ a b)))) (/ r (cos b)) (/ (/ -1 (cos (+ a b))) (/ -1 (sin b))) (/ (neg r) -1) (* (/ (/ -1 (cos (+ a b))) (/ -1 (sin b))) (/ (neg r) -1)) (/ -1 (cos (+ a b))) (pow r 1/2) (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b))) (* (neg (sin b)) (sin a)) (* (* a a) r) (cos b) (cos (+ a b)) (/ (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b)))))
7.0ms	r	@	-inf	((* (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) r) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (sin b) (* (neg r) (/ -1 (cos (+ a b))))) (* (neg r) (/ -1 (cos (+ a b)))) (/ r (cos b)) (/ (/ -1 (cos (+ a b))) (/ -1 (sin b))) (/ (neg r) -1) (* (/ (/ -1 (cos (+ a b))) (/ -1 (sin b))) (/ (neg r) -1)) (/ -1 (cos (+ a b))) (pow r 1/2) (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b))) (* (neg (sin b)) (sin a)) (* (* a a) r) (cos b) (cos (+ a b)) (/ (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b)))))
5.0ms	r	@	inf	((* (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) r) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (sin b) (* (neg r) (/ -1 (cos (+ a b))))) (* (neg r) (/ -1 (cos (+ a b)))) (/ r (cos b)) (/ (/ -1 (cos (+ a b))) (/ -1 (sin b))) (/ (neg r) -1) (* (/ (/ -1 (cos (+ a b))) (/ -1 (sin b))) (/ (neg r) -1)) (/ -1 (cos (+ a b))) (pow r 1/2) (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b))) (* (neg (sin b)) (sin a)) (* (* a a) r) (cos b) (cos (+ a b)) (/ (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b)))))
4.0ms	a	@	inf	((* (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) r) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (sin b) (* (neg r) (/ -1 (cos (+ a b))))) (* (neg r) (/ -1 (cos (+ a b)))) (/ r (cos b)) (/ (/ -1 (cos (+ a b))) (/ -1 (sin b))) (/ (neg r) -1) (* (/ (/ -1 (cos (+ a b))) (/ -1 (sin b))) (/ (neg r) -1)) (/ -1 (cos (+ a b))) (pow r 1/2) (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b))) (* (neg (sin b)) (sin a)) (* (* a a) r) (cos b) (cos (+ a b)) (/ (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b)))))

simplify216.0ms (2.2%)

Memory

0.6MiB live, 359.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 428×	`lower-fma.f64`
9 428×	`lower-fma.f32`
7 684×	`lower-*.f64`
7 684×	`lower-*.f32`
2 176×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	535	7386
1	1735	7006
2	5948	6928
0	8196	6694

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 584

Calls

Call 1

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

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

rewrite251.0ms (2.5%)

Memory

-7.7MiB live, 366.3MiB allocated

Rules

4 630×	`lower-fma.f32`
4 626×	`lower-fma.f64`
4 170×	`lower-*.f32`
4 154×	`lower-*.f64`
3 532×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	225
0	78	234
1	247	176
2	1509	175
0	8452	175

Stop Event

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

Counts

23 → 900

Calls

Call 1

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

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

eval383.0ms (3.9%)

Memory: 24.7MiB live, 508.6MiB allocated
Compiler: Compiled 35 867 to 3 107 computations (91.3% saved)

prune172.0ms (1.7%)

Memory

-33.4MiB live, 376.8MiB allocated

Pruning

99 alts after pruning (91 fresh and 8 done)

	Pruned	Kept	Total
New	1 689	41	1 730
Fresh	24	50	74
Picked	2	3	5
Done	0	5	5
Total	1 715	99	1 814

Accuracy

99.9%

Counts

1 814 → 99

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
	77.8%	(/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r))
	99.2%	(/.f64 (/.f64 (neg.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))))
	99.1%	(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (fma.f64 (pow.f64 r #s(literal -1/2 binary64)) (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (pow.f64 r #s(literal -1/2 binary64)) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
	99.0%	(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sqrt.f64 r)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sqrt.f64 r))))
	99.1%	(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (.f64 (pow.f64 r #s(literal -1/2 binary64)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
	60.0%	(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) #s(approx ( (pow r -1/2) (cos (+ a b))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) r)) (cos.f64 b))))
	15.4%	(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) #s(approx ( (pow r -1/2) (cos (+ a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) r)))))
	53.4%	(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) #s(approx ( (pow r -1/2) (cos (+ a b))) (*.f64 (cos.f64 a) (sqrt.f64 (/.f64 #s(literal 1 binary64) r)))))
	77.6%	(/.f64 (*.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (pow.f64 r #s(literal -1/2 binary64)))
	77.6%	(/.f64 (*.f64 (sqrt.f64 r) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 r)))
	99.2%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	61.3%	(/.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))))
	54.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
	99.3%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	50.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) (sin.f64 a))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	54.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
	55.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)) (sin.f64 a))))
	61.3%	(/.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))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	51.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	58.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	60.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
	51.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ ( (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) -1/2) b)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
	50.0%	(/.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)))
	50.3%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (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))))
	77.5%	(/.f64 (sqrt.f64 r) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 r)) (sin.f64 b)))
	77.8%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	50.4%	(/.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)))
	50.5%	(/.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 (+ a b)) (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))))
	50.5%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	50.4%	(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (cos (+ a b)) (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))))
	77.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	77.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	77.4%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	77.4%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (neg.f64 r)))
	39.0%	(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	53.5%	(*.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))))
	77.8%	(.f64 (pow.f64 r #s(literal 3/4 binary64)) (/.f64 (sin.f64 b) (.f64 (pow.f64 r #s(literal -1/4 binary64)) (cos.f64 (+.f64 a b)))))
	72.7%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (exp.f64 (log.f64 r)))
	77.8%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) r)
	53.6%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
	77.6%	(.f64 (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 a b))) (.f64 (sqrt.f64 r) (sin.f64 b)))
	99.4%	(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) r)
✓	99.4%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
	65.7%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))) r)
	51.4%	(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
	54.4%	(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
✓	77.9%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	60.2%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))) r)
	53.6%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) r)
	77.8%	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
	77.9%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	77.6%	(.f64 (.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (sqrt.f64 r))
	52.9%	(.f64 (sin.f64 b) (.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	77.6%	(.f64 (sin.f64 b) (.f64 (sqrt.f64 r) (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 a b)))))
	99.3%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))))
	60.2%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b)))))
	53.6%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a)))))
	45.5%	(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))))
✓	60.2%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b))))
	53.5%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 a))))
	33.5%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
	33.4%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))))
	33.6%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	36.4%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))))
	60.2%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) r))))
	39.9%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 b) r)) #s(literal -1 binary64)))))
	32.5%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) #s(approx (/ r (cos b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 b b) r) #s(literal 5/24 binary64))) (.f64 b b) r))))
	32.6%	(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) #s(approx (/ r (cos b)) (fma.f64 (.f64 (.f64 b b) r) #s(literal 1/2 binary64) r))))
	38.1%	(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 r (cos.f64 (+.f64 a b))))
	37.5%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))) r)
	50.5%	(.f64 #s(approx (/ (sin b) (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))) r)
	32.7%	(.f64 #s(approx (sin b) (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)) #s(approx (* (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b))))
	15.4%	#s(approx (/ (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b)))) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	50.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a))))
	50.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	49.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
	50.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
✓	50.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	31.5%	#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))
	31.6%	#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))
	26.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (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)) b))
✓	27.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
	27.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))) b))
	27.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (neg.f64 (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 r #s(literal -1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))) b))
	20.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 (fma.f64 r r (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)))) (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r))))) b))
	20.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r))) (fma.f64 r r (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (*.f64 a a) r) #s(literal 2 binary64))))))) b))
	27.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)))) b))
	10.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))) b))
	32.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
	32.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
	32.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) b))))
	32.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 r (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))))
✓	32.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 4 098 to 1 824 computations (55.5% saved)

regimes250.0ms (2.5%)

Memory

42.1MiB live, 389.8MiB allocated

Counts

166 → 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 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (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)) 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(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))) 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))
#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 (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(.f64 #s(approx (/ (sin b) (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))) r)
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) #s(approx (/ r (cos b)) (fma.f64 (.f64 (.f64 b b) r) #s(literal 1/2 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) #s(approx (/ r (cos b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 b b) r) #s(literal 5/24 binary64))) (.f64 b b) r))))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))))
(/.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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (neg.f64 (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 r #s(literal -1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 (fma.f64 r r (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)))) (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r))))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r))) (fma.f64 r r (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (*.f64 a a) r) #s(literal 2 binary64))))))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 r (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 a))))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin 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) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b)))) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a)))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b)))))
(/.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 (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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) r))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ ( (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) -1/2) b)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(*.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 #s(approx (sin b) (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)) #s(approx (* (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) r)
(.f64 (sin.f64 b) (.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b)))))
(.f64 (sin.f64 b) (.f64 (sqrt.f64 r) (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (sqrt.f64 r))
(.f64 (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 a b))) (.f64 (sqrt.f64 r) (sin.f64 b)))
(/.f64 (*.f64 (sqrt.f64 r) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
(/.f64 (sqrt.f64 r) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 r)) (sin.f64 b)))
(.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r)
(/.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) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (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))))
(*.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 b))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a 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 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (pow.f64 r #s(literal -1/2 binary64)))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) #s(approx ( (pow r -1/2) (cos (+ a b))) (*.f64 (cos.f64 a) (sqrt.f64 (/.f64 #s(literal 1 binary64) r)))))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) #s(approx ( (pow r -1/2) (cos (+ a b))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) r)) (cos.f64 b))))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) #s(approx ( (pow r -1/2) (cos (+ a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) r)))))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (cos (+ a b)) (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))))
(/.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 (+ a b)) (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))))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.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))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #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 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))) r)
(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a 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 (pow.f64 r #s(literal 3/4 binary64)) (/.f64 (sin.f64 b) (.f64 (pow.f64 r #s(literal -1/4 binary64)) (cos.f64 (+.f64 a b)))))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (.f64 (pow.f64 r #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b))))
(.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))) r)
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))) r)
(/.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 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 r #s(literal -1/2 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 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.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 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (exp.f64 (log.f64 r)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)) (sin.f64 a))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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))))
(/.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 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (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))))
(/.f64 (.f64 r #s(approx (sin b) (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))) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) 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 (cos.f64 (+.f64 a b))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (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 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) r)
(/.f64 (/.f64 (neg.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 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(/.f64 (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) (.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 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sqrt.f64 r)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sqrt.f64 r))))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (.f64 (pow.f64 r #s(literal -1/2 binary64)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (sin.f64 b))))) (sin.f64 a))))
(/.f64 (.f64 r (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (sin.f64 b))))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) r)) (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 (cos.f64 b) (cos.f64 a) (.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) (sin.f64 a))))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (fma.f64 (pow.f64 r #s(literal -1/2 binary64)) (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (pow.f64 r #s(literal -1/2 binary64)) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(.f64 (.f64 r (/.f64 (sin.f64 b) (-.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))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (-.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))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (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 (-.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 (-.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))) (pow.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))) #s(literal -1 binary64))))
(/.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)))))))

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

Calls

4 calls:

80.0ms	b
68.0ms	a
48.0ms	r
46.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
99.4%	1	`r`
99.4%	1	`a`
99.4%	1	`b`
99.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes174.0ms (1.8%)

Memory

-40.3MiB live, 262.2MiB allocated

Counts

140 → 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 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (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)) 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(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))) 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))
#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 (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(.f64 #s(approx (/ (sin b) (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))) r)
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) #s(approx (/ r (cos b)) (fma.f64 (.f64 (.f64 b b) r) #s(literal 1/2 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) #s(approx (/ r (cos b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 b b) r) #s(literal 5/24 binary64))) (.f64 b b) r))))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))))
(/.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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (neg.f64 (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 r #s(literal -1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 (fma.f64 r r (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)))) (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r))))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r))) (fma.f64 r r (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (*.f64 a a) r) #s(literal 2 binary64))))))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 r (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 a))))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin 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) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b)))) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a)))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b)))))
(/.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 (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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) r))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ ( (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) -1/2) b)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(*.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 #s(approx (sin b) (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)) #s(approx (* (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) r)
(.f64 (sin.f64 b) (.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b)))))
(.f64 (sin.f64 b) (.f64 (sqrt.f64 r) (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (sqrt.f64 r))
(.f64 (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 a b))) (.f64 (sqrt.f64 r) (sin.f64 b)))
(/.f64 (*.f64 (sqrt.f64 r) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
(/.f64 (sqrt.f64 r) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 r)) (sin.f64 b)))
(.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r)
(/.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) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (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))))
(*.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 b))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a 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 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (pow.f64 r #s(literal -1/2 binary64)))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) #s(approx ( (pow r -1/2) (cos (+ a b))) (*.f64 (cos.f64 a) (sqrt.f64 (/.f64 #s(literal 1 binary64) r)))))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) #s(approx ( (pow r -1/2) (cos (+ a b))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) r)) (cos.f64 b))))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) #s(approx ( (pow r -1/2) (cos (+ a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) r)))))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (cos (+ a b)) (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))))
(/.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 (+ a b)) (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))))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.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))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #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 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))) r)
(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a 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 (pow.f64 r #s(literal 3/4 binary64)) (/.f64 (sin.f64 b) (.f64 (pow.f64 r #s(literal -1/4 binary64)) (cos.f64 (+.f64 a b)))))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (.f64 (pow.f64 r #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b))))
(.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))) r)
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))) r)
(/.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 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 r #s(literal -1/2 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 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.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 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (exp.f64 (log.f64 r)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)) (sin.f64 a))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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))))
(/.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 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (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))))
(/.f64 (.f64 r #s(approx (sin b) (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))) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) 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 (cos.f64 (+.f64 a b))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))

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

Calls

4 calls:

51.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
40.0ms	a
38.0ms	b
37.0ms	r

Results

Accuracy	Segments	Branch
99.4%	1	`a`
99.4%	1	`b`
99.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
99.4%	1	`r`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes164.0ms (1.7%)

Memory

-1.1MiB live, 310.7MiB allocated

Counts

138 → 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 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (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)) 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(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))) 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))
#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 (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(.f64 #s(approx (/ (sin b) (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))) r)
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) #s(approx (/ r (cos b)) (fma.f64 (.f64 (.f64 b b) r) #s(literal 1/2 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) #s(approx (/ r (cos b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 b b) r) #s(literal 5/24 binary64))) (.f64 b b) r))))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))))
(/.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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (neg.f64 (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 r #s(literal -1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 (fma.f64 r r (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)))) (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r))))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r))) (fma.f64 r r (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (*.f64 a a) r) #s(literal 2 binary64))))))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 r (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 a))))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) r)
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin 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) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* (pow r 1/2) (sin b)) (* (pow r -1/2) (cos (+ a b)))) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a)))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b)))))
(/.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 (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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) r))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ ( (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) -1/2) b)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(*.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(.f64 #s(approx (sin b) (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)) #s(approx (* (neg r) (/ -1 (cos (+ a b)))) (/.f64 r (cos.f64 b))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (neg.f64 r)))
(/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b)) (neg.f64 r)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) r)
(.f64 (sin.f64 b) (.f64 (/.f64 (neg.f64 (*.f64 r r)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(.f64 (pow.f64 #s(approx (/ -1 (neg (sin b))) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b)))))
(.f64 (sin.f64 b) (.f64 (sqrt.f64 r) (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (sqrt.f64 r))
(.f64 (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 a b))) (.f64 (sqrt.f64 r) (sin.f64 b)))
(/.f64 (*.f64 (sqrt.f64 r) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
(/.f64 (sqrt.f64 r) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sqrt.f64 r)) (sin.f64 b)))
(.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r)
(/.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) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (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))))
(*.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 b))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a 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 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (pow.f64 r #s(literal -1/2 binary64)))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) #s(approx ( (pow r -1/2) (cos (+ a b))) (*.f64 (cos.f64 a) (sqrt.f64 (/.f64 #s(literal 1 binary64) r)))))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) #s(approx ( (pow r -1/2) (cos (+ a b))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) r)) (cos.f64 b))))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) #s(approx ( (pow r -1/2) (cos (+ a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) r)))))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (cos (+ a b)) (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))))
(/.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 (+ a b)) (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))))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.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))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #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 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))) r)
(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a 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 (pow.f64 r #s(literal 3/4 binary64)) (/.f64 (sin.f64 b) (.f64 (pow.f64 r #s(literal -1/4 binary64)) (cos.f64 (+.f64 a b)))))
(/.f64 (.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (.f64 (pow.f64 r #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b))))
(.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))) r)
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))) r)
(/.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 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 r #s(literal -1/2 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 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.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 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (exp.f64 (log.f64 r)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)) (sin.f64 a))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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))))
(/.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 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (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))))
(/.f64 (.f64 r #s(approx (sin b) (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))) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) 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 (cos.f64 (+.f64 a b))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))

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

Calls

4 calls:

42.0ms	b
39.0ms	a
39.0ms	r
38.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
77.9%	1	`r`
77.9%	1	`a`
77.9%	1	`b`
77.9%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes55.0ms (0.6%)

Memory

26.1MiB live, 102.4MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

14.0ms	a
13.0ms	b
12.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
12.0ms	r

Results

Accuracy	Segments	Branch
77.8%	3	`b`
60.2%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
77.7%	3	`a`
62.1%	2	`r`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes15.0ms (0.1%)

Memory

-11.3MiB live, 25.4MiB allocated

Counts

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

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

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
77.8%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes45.0ms (0.5%)

Memory

-24.6MiB live, 71.8MiB 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 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (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)) 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(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))) 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))
#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 (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(.f64 #s(approx (/ (sin b) (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))) r)
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) #s(approx (/ r (cos b)) (fma.f64 (.f64 (.f64 b b) r) #s(literal 1/2 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) #s(approx (/ r (cos b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 b b) r) #s(literal 5/24 binary64))) (.f64 b b) r))))
(.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64))))))
(/.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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (neg.f64 (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 r #s(literal -1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 (fma.f64 r r (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)))) (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r))))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r))) (fma.f64 r r (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (*.f64 a a) r) #s(literal 2 binary64))))))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 r (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))))

Outputs

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

Calls

4 calls:

13.0ms	a
10.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
9.0ms	r
9.0ms	b

Results

Accuracy	Segments	Branch
50.5%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
50.5%	1	`r`
50.5%	1	`a`
54.5%	3	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

28 → 2

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
52.8%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes24.0ms (0.2%)

Memory

-16.5MiB live, 61.0MiB 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 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (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)) 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(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))) 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))
#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 (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(.f64 #s(approx (/ (sin b) (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 b (cos.f64 a))) r)

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

Calls

4 calls:

7.0ms	b
6.0ms	r
5.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms	a

Results

Accuracy	Segments	Branch
50.5%	1	`r`
50.5%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
50.5%	1	`a`
50.5%	1	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes20.0ms (0.2%)

Memory

-1.4MiB live, 40.6MiB allocated

Counts

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
50.5%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
50.5%	1	`r`
50.5%	1	`a`
50.5%	1	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes16.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated

Accuracy

Total -15.0b remaining (-34.9%)

Threshold costs -15b (-34.9%)

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
32.9%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
32.9%	1	`r`
32.9%	1	`a`
32.9%	1	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch31.0ms (0.3%)

Memory

1.4MiB live, 38.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0018472603394702866	2.4880753875639385
12.0ms	-97.45387652555804	-53.4309286020453

Samples

11.0ms	80×	1	valid
10.0ms	112×	0	valid

Compiler

Compiled 360 to 302 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-cos: 6.0ms (39.1% of total)

ival-sin: 4.0ms (26% of total)

ival-add: 1.0ms (6.5% of total)

ival-div: 1.0ms (6.5% of total)

adjust: 1.0ms (6.5% of total)

ival-mult: 1.0ms (6.5% of total)

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

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

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0018472603394702866	2.4880753875639385
1.0ms	-97.45387652555804	-53.4309286020453

Compiler

Compiled 360 to 302 computations (16.1% saved)

bsearch55.0ms (0.6%)

Memory

-5.2MiB live, 70.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.314612267497276	445582.28612293967
26.0ms	-28872591933481.17	-4080386.775312543

Samples

23.0ms	129×	1	valid
17.0ms	159×	0	valid

Compiler

Compiled 534 to 464 computations (13.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sin: 10.0ms (33.5% of total)

ival-cos: 9.0ms (30.2% of total)

ival-mult: 4.0ms (13.4% of total)

ival-add: 2.0ms (6.7% of total)

ival-div: 2.0ms (6.7% of total)

adjust: 2.0ms (6.7% of total)

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

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

bsearch29.0ms (0.3%)

Memory

-7.2MiB live, 38.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-67982180282475040.0	-28872591933481.17

Samples

22.0ms	124×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 132 to 158 computations (-19.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 7.0ms (38.7% of total)

ival-cos: 6.0ms (33.2% of total)

adjust: 2.0ms (11.1% of total)

ival-add: 1.0ms (5.5% of total)

ival-div: 1.0ms (5.5% of total)

ival-mult: 1.0ms (5.5% of total)

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

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

simplify30.0ms (0.3%)

Memory

-18.4MiB live, 58.2MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	332
1	94	332
2	102	332
3	109	332
4	112	332
5	113	332

Stop Event

1×

saturated

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 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(if (<=.f64 b #s(literal -55 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) (if (<=.f64 b #s(literal 3242591731706757/144115188075855872 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)))))
(if (<=.f64 b #s(literal -55 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3242591731706757/144115188075855872 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)))))
(if (<=.f64 b #s(literal -39000000 binary64)) (.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 22 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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -330000000000000 binary64)) (.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64))))) #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 b r) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

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 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(if (<=.f64 b #s(literal -55 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) (if (<=.f64 b #s(literal 3242591731706757/144115188075855872 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)))))
(if (<=.f64 b #s(literal -55 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3242591731706757/144115188075855872 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)))))
(if (<=.f64 b #s(literal -39000000 binary64)) (.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 22 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 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -39000000 binary64)) (.f64 #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 22 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 #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))))
(if (<=.f64 b #s(literal -330000000000000 binary64)) (.f64 (sin.f64 b) #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64))))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))))
(if (<=.f64 b #s(literal -330000000000000 binary64)) (.f64 #s(approx ( (neg r) (/ -1 (cos (+ a b)))) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 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 b r) (cos.f64 a)))
#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))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

soundness1.2s (12.6%)

Memory

12.9MiB live, 776.4MiB allocated

Rules

10 934×	`lower-fma.f64`
10 934×	`lower-fma.f32`
9 742×	`lower-fma.f64`
9 742×	`lower-fma.f32`
9 428×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	206
0	74	217
1	245	175
2	1558	175
0	8311	175
0	41	181
0	65	193
1	194	157
2	1067	157
0	8829	157
0	535	7386
1	1735	7006
2	5948	6928
0	8196	6694
0	361	6018
1	1173	5710
2	3940	5650
0	8479	5472
0	167	960
1	517	928
2	1602	886
3	5424	885
0	8361	853
0	8	19
0	13	19
1	44	19
2	234	19
3	2050	19
0	8441	19
0	464	6683
1	1460	6383
2	4905	6311
0	8460	6070

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

Compiler

Compiled 454 to 257 computations (43.4% saved)

preprocess80.0ms (0.8%)

Memory: 13.4MiB live, 91.3MiB allocated
Remove: (negabs r)
Compiler: Compiled 574 to 236 computations (58.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze484.0ms (4.9%)

sample1.8s (17.8%)

explain146.0ms (1.5%)

preprocess110.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize54.0ms (0.5%)

series17.0ms (0.2%)

simplify277.0ms (2.8%)

rewrite166.0ms (1.7%)

eval34.0ms (0.3%)

prune38.0ms (0.4%)

simplify153.0ms (1.6%)

localize338.0ms (3.4%)

series83.0ms (0.8%)

simplify236.0ms (2.4%)

rewrite230.0ms (2.3%)

eval376.0ms (3.8%)

prune225.0ms (2.3%)

simplify159.0ms (1.6%)

localize192.0ms (1.9%)

series67.0ms (0.7%)

simplify265.0ms (2.7%)

rewrite236.0ms (2.4%)

eval269.0ms (2.7%)

prune162.0ms (1.6%)

simplify180.0ms (1.8%)

localize251.0ms (2.6%)

series76.0ms (0.8%)

simplify216.0ms (2.2%)

rewrite251.0ms (2.5%)

eval383.0ms (3.9%)

prune172.0ms (1.7%)

regimes250.0ms (2.5%)

regimes174.0ms (1.8%)

regimes164.0ms (1.7%)

regimes55.0ms (0.6%)

regimes15.0ms (0.1%)

regimes45.0ms (0.5%)

regimes9.0ms (0.1%)

regimes24.0ms (0.2%)

regimes20.0ms (0.2%)

regimes16.0ms (0.2%)

bsearch31.0ms (0.3%)

bsearch2.0ms (0%)

bsearch55.0ms (0.6%)

bsearch29.0ms (0.3%)

simplify30.0ms (0.3%)

soundness1.2s (12.6%)

preprocess80.0ms (0.8%)

end0.0ms (0%)

Profiling