Metrics for rsin A (should all be same)

analyze309.0ms (2.8%)

Memory

8.3MiB live, 327.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (13.4%)

Memory

49.1MiB live, 2 330.1MiB allocated

Samples

1.0s	5 867×	1	valid
183.0ms	2 389×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 844.0ms

ival-cos: 267.0ms (31.6% of total)

ival-sin: 198.0ms (23.5% of total)

adjust: 126.0ms (14.9% of total)

ival-div: 99.0ms (11.7% of total)

ival-add: 79.0ms (9.4% of total)

ival-mult: 66.0ms (7.8% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess111.0ms (1%)

Memory

-8.5MiB live, 33.3MiB 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 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

Symmetry

(negabs r)

explain173.0ms (1.5%)

Memory

14.9MiB live, 255.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
63	123	(4.0837887384896697e-53 1.2277974121348307e+188 -2.5218820864031392e-113)	-	`(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	186	0

Confusion

	Predicted +	Predicted -
+	63	0
-	123	70

Precision

0.3387096774193548

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	63	0	0
-	123	0	70

Precision?

0.3387096774193548

Recall?

1.0

Freqs

test

number	freq
0	70
1	186

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms	350×	1	valid
44.0ms	162×	0	valid

Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions

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

ival-mult: 35.0ms (42.3% of total)

ival-cos: 16.0ms (19.4% of total)

ival-sin: 11.0ms (13.3% of total)

adjust: 10.0ms (12.1% of total)

ival-add: 6.0ms (7.3% of total)

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

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.0%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

-29.4MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize47.0ms (0.4%)

Memory

7.0MiB live, 87.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 b)
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
✓	accuracy	79.1%	(cos.f64 (+.f64 a b))

Samples

32.0ms	175×	1	valid
6.0ms	81×	0	valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sin: 9.0ms (33.2% of total)

ival-cos: 9.0ms (33.2% of total)

ival-add: 3.0ms (11.1% of total)

adjust: 3.0ms (11.1% of total)

ival-div: 2.0ms (7.4% of total)

ival-mult: 2.0ms (7.4% of total)

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

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

series13.0ms (0.1%)

Memory

-12.1MiB live, 26.6MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (cos.f64 (+.f64 a b))>

Outputs
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<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)))>
#<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)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>

Calls

24 calls:

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

simplify353.0ms (3.2%)

Memory

6.3MiB live, 640.0MiB 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	1595	886
3	5409	885
0	8292	853

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite504.0ms (4.5%)

Memory

27.5MiB live, 471.6MiB allocated

Algorithm

1×	batch-egg-rewrite

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

eval30.0ms (0.3%)

Memory: -15.1MiB live, 60.4MiB allocated
Compiler: Compiled 3 974 to 535 computations (86.5% saved)

prune67.0ms (0.6%)

Memory

13.0MiB live, 100.9MiB allocated

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	196	37	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	37	234

Accuracy

99.9%

Counts

234 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	41.1%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
	78.6%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
▶	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	98.7%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
▶	78.9%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))))
	78.3%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b)))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
	78.9%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
▶	36.6%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
	51.7%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
	51.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
	61.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))))
	61.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
	61.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
	52.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
▶	64.5%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	55.3%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	50.7%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
	50.7%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
	50.7%	(/.f64 (.f64 r #s(approx (sin b) (.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (cos.f64 (+.f64 a b)))
	51.2%	(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
	50.8%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (fma.f64 r (.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 r #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b)))
	50.7%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b)))
	50.7%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
	78.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	78.8%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	78.9%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
	79.0%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	78.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
	79.0%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	78.9%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	78.9%	(.f64 (sin.f64 (neg.f64 b)) (.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
	78.9%	(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
	41.1%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
▶	51.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))

Compiler

Compiled 1 548 to 922 computations (40.4% saved)

simplify182.0ms (1.6%)

Memory

2.7MiB live, 236.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))))
✓	cost-diff	14208	(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (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 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
✓	cost-diff	128	(cos.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b)))))
✓	cost-diff	0	#s(approx (cos (+ a b)) (cos.f64 b))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	0	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
✓	cost-diff	0	(cos.f64 a)
✓	cost-diff	0	(*.f64 r b)
✓	cost-diff	0	(/.f64 (*.f64 r b) (cos.f64 a))
✓	cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
✓	cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.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) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))

Rules

3 736×	`lower-*.f32`
3 722×	`lower-*.f64`
2 866×	`lower-fma.f32`
2 860×	`lower-fma.f64`
2 848×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	294
0	69	260
1	120	258
2	213	258
3	416	258
4	791	258
5	1703	258
6	2923	258
7	5197	258
8	7813	258
0	8095	258

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

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

localize298.0ms (2.7%)

Memory

-32.4MiB live, 304.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
✓	accuracy	99.5%	(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))
✓	accuracy	79.1%	(cos.f64 (+.f64 b a))
✓	accuracy	78.7%	(cos.f64 (-.f64 a b))
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
✓	accuracy	97.1%	(fma.f64 b (.f64 b b) (.f64 a (*.f64 a a)))
✓	accuracy	79.1%	(cos.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b)))))
✓	accuracy	36.3%	(/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b))))
✓	accuracy	100.0%	(cos.f64 b)
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
✓	accuracy	58.6%	#s(approx (cos (+ a b)) (cos.f64 b))
✓	accuracy	100.0%	(*.f64 r b)
✓	accuracy	100.0%	(cos.f64 a)
✓	accuracy	99.8%	(/.f64 (*.f64 r b) (cos.f64 a))
✓	accuracy	51.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
✓	accuracy	99.9%	(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
✓	accuracy	99.6%	(*.f64 (sin.f64 b) (sin.f64 a))

Samples

194.0ms	181×	1	valid
46.0ms	75×	0	valid

Compiler

Compiled 294 to 38 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-cos: 48.0ms (33.5% of total)

ival-mult: 25.0ms (17.4% of total)

ival-sub: 18.0ms (12.6% of total)

ival-div: 15.0ms (10.5% of total)

ival-sin: 13.0ms (9.1% of total)

adjust: 12.0ms (8.4% of total)

ival-add: 9.0ms (6.3% of total)

ival-neg: 3.0ms (2.1% of total)

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

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

series61.0ms (0.5%)

Memory

24.0MiB live, 104.4MiB allocated

Counts

21 → 540

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))>
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))>
#<alt (/.f64 (*.f64 r b) (cos.f64 a))>
#<alt (*.f64 r b)>
#<alt (cos.f64 a)>
#<alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))>
#<alt #s(approx (cos (+ a b)) (cos.f64 b))>
#<alt (cos.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b)))))>
#<alt (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))>
#<alt (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))>
#<alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))))>
#<alt (*.f64 (sin.f64 b) (sin.f64 a))>
#<alt (cos.f64 b)>
#<alt (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b))))>
#<alt (fma.f64 b (.f64 b b) (.f64 a (*.f64 a a)))>
#<alt (cos.f64 (-.f64 a b))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))>

Outputs
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<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)))>
#<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)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
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#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<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)))>
#<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)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (* -1 a)>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (* -1 (/ a b)) 1))>
#<alt (* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2)))) 1))>
#<alt (* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3)) (/ (pow a 2) (pow b 2))))) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (/ a b))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b) (pow a 2))) b))) b)))))>
#<alt (* -1 b)>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (* -1 a)>
#<alt (* a (- (* -1 (/ b a)) 1))>
#<alt (* a (- (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2))) (+ 1 (/ b a))))>
#<alt (* a (- (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3))) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ b a) (/ (pow b 2) (pow a 2)))))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (/ b a))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a) (pow b 2))) a))) a)))))>
#<alt (pow a 3)>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (pow b 3)>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (pow b 3)>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (cos (neg b))>
#<alt (+ (cos (neg b)) (* -1 (* a (sin (neg b)))))>
#<alt (+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))>
#<alt (+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos a)>
#<alt (+ (cos a) (* b (sin a)))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (* (cos b) (cos (neg b)))>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b))))>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b))))>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b))))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))>
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))>
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))>
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))>
#<alt (pow (cos a) 2)>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>

Calls

135 calls:

Time	Variable		Point	Expression
9.0ms	a	@	0	(* (cos (- a b)) (cos (+ b a)))
5.0ms	r	@	inf	(/ (* r b) (cos a))
4.0ms	b	@	0	(/ (* r b) (cos a))
4.0ms	r	@	0	(/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
3.0ms	r	@	0	(/ (* r (sin b)) (cos (/ (+ (* b (* b b)) (* a (* a a))) (neg (+ (* a (- a b)) (* b b))))))

simplify328.0ms (2.9%)

Memory

-34.2MiB live, 442.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 076×	`lower-fma.f64`
8 076×	`lower-fma.f32`
5 016×	`lower-*.f64`
5 016×	`lower-*.f32`
2 888×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	597	6591
1	1999	6241
2	6630	6110
0	8385	5915

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 539

Calls

Call 1

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

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

rewrite336.0ms (3%)

Memory

31.9MiB live, 733.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 288×	`lower-*.f32`
5 274×	`lower-*.f64`
4 048×	`lower-/.f32`
4 038×	`lower-/.f64`
3 360×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	213
0	69	139
1	249	126
2	1747	126
0	8292	126

Stop Event

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

Counts

21 → 779

Calls

Call 1

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

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

eval255.0ms (2.3%)

Memory: -2.2MiB live, 561.7MiB allocated
Compiler: Compiled 42 187 to 2 397 computations (94.3% saved)

prune331.0ms (3%)

Memory

22.2MiB live, 497.5MiB allocated

Pruning

80 alts after pruning (77 fresh and 3 done)

	Pruned	Kept	Total
New	1 501	68	1 569
Fresh	23	9	32
Picked	2	3	5
Done	0	0	0
Total	1 526	80	1 606

Accuracy

99.9%

Counts

1 606 → 80

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.1%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
	78.6%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
	78.9%	(/.f64 (.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
✓	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	54.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (sin.f64 a)))))
	55.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)) (sin.f64 a)))))
▶	56.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a)))))
	67.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx ( (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
	63.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx ( (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
	63.0%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx ( (sin b) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
	61.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
	61.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	61.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
	65.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	51.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
	51.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	51.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
	56.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (cos.f64 (-.f64 a b)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (fma.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)) (.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))))
	78.6%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (-.f64 a b) (+.f64 b a))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))))) (cos.f64 (-.f64 a b))))
	99.0%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))
	78.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 a b) (+.f64 b a))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) (.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (cos.f64 (-.f64 a b))))
	64.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(approx (cos (- a b)) (cos.f64 b))))
	55.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(approx (cos (- a b)) (cos.f64 a))))
	65.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))))
	57.2%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	78.9%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))
	98.7%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))))))
	38.9%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ ( b (* b b)) (* a (* a a))) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
	33.2%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ ( b (* b b)) (* a (* a a))) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
	72.6%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))
	33.7%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) #s(literal -1 binary64)))))
	22.8%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64)))))
	61.7%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ ( b (* b b)) (* a (* a a))) (neg (+ (* a (- a b)) (* b b)))) (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 b a))))))
	41.5%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ ( b (* b b)) (* a (* a a))) (neg (+ (* a (- a b)) (* b b)))) (.f64 a (-.f64 #s(literal -1 binary64) (-.f64 (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 b a)) (.f64 b (/.f64 b (.f64 a a)))))))))
	51.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- a b)) (cos (+ b a))) (cos (- a b))) (fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
	61.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- a b)) (cos (+ b a))) (cos (- a b))) (fma.f64 a (-.f64 (.f64 a (.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))
	61.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- a b)) (cos (+ b a))) (cos (- a b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
	52.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- a b)) (cos (+ b a))) (cos (- a b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
	55.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- a b)) (cos (+ b a))) (cos (- a b))) (cos.f64 a)))
✓	64.5%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	37.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	37.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	36.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	41.1%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
	36.3%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
	36.2%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
	50.7%	(/.f64 (.f64 r #s(approx (sin b) (.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (cos.f64 (+.f64 a b)))
	29.2%	(/.f64 #s(approx (* r (sin b)) (.f64 r b)) (cos.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
	36.7%	(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	36.3%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) #s(approx (cos (+ a b)) (cos.f64 b)))
	78.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	64.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (*.f64 r (sin.f64 b))))
	78.7%	(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (sin.f64 b)) #s(literal -1 binary64)))
	98.5%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))))
	79.0%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	64.5%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
▶	78.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
	79.0%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	64.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (.f64 r (sin.f64 b)))
▶	64.5%	(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	64.4%	(.f64 (sin.f64 b) (.f64 r (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b)))))
	78.9%	(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
	41.1%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	33.3%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
✓	51.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
	35.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	34.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	35.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	50.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
	51.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
	51.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
	51.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
	28.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 a) (.f64 r b))) #s(literal -1 binary64))))
	31.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
▶	36.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

Compiler

Compiled 3 434 to 2 057 computations (40.1% saved)

simplify259.0ms (2.3%)

Memory

-4.2MiB live, 205.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 840×	`lower-fma.f32`
2 834×	`lower-fma.f64`
2 600×	`lower-*.f32`
2 584×	`lower-*.f64`
1 712×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	281
0	72	273
1	116	273
2	169	267
3	267	267
4	448	267
5	835	267
6	1439	264
7	2460	264
8	3528	264
9	4394	264
10	5207	264
11	5745	264
12	5931	264
13	5967	264
14	6235	264
15	6836	264
16	7480	264
17	7686	264
18	7930	264
0	8037	258

Stop Event

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

Calls

Call 1

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

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

localize243.0ms (2.2%)

Memory

-16.8MiB live, 378.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a)))))
✓	accuracy	99.6%	(.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a))
✓	accuracy	99.4%	(*.f64 b #s(literal -1/6 binary64))
✓	accuracy	50.8%	#s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b))
✓	accuracy	99.7%	(/.f64 r (cos.f64 (+.f64 b a)))
✓	accuracy	99.7%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
✓	accuracy	99.7%	(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))
✓	accuracy	79.1%	(cos.f64 (+.f64 b a))
✓	accuracy	100.0%	(cos.f64 b)
✓	accuracy	99.7%	(/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))
✓	accuracy	99.7%	(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
✓	accuracy	58.6%	#s(approx (cos (+ a b)) (cos.f64 b))
✓	accuracy	100.0%	(*.f64 r b)
✓	accuracy	66.9%	#s(approx (/ (* r b) (cos a)) (*.f64 r b))
✓	accuracy	51.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
✓	accuracy	99.9%	(*.f64 (cos.f64 b) (cos.f64 a))
✓	accuracy	99.9%	(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

147.0ms	174×	1	valid
25.0ms	81×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 219 to 40 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-cos: 31.0ms (22.2% of total)

ival-sin: 25.0ms (17.9% of total)

ival-mult: 24.0ms (17.2% of total)

ival-div: 21.0ms (15% of total)

adjust: 12.0ms (8.6% of total)

ival-add: 9.0ms (6.4% of total)

ival-pow: 6.0ms (4.3% of total)

ival-neg: 6.0ms (4.3% of total)

const: 5.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory

-0.9MiB live, 36.4MiB allocated

Counts

21 → 540

Calls

Call 1

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

Outputs
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
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#<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)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (+ a b)))>
#<alt (/ r (cos (- b (* -1 a))))>
#<alt (/ r (cos (- b (* -1 a))))>
#<alt (/ r (cos (- b (* -1 a))))>
#<alt (/ r (cos (- b (* -1 a))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<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)))>
#<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)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* -1/6 b)>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>

Calls

135 calls:

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

simplify359.0ms (3.2%)

Memory

27.9MiB live, 624.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 318×	`lower-fma.f64`
9 318×	`lower-fma.f32`
7 566×	`lower-*.f64`
7 566×	`lower-*.f32`
2 516×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	384	6495
1	1260	6144
2	4380	6067
0	8761	5852

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 537

Calls

Call 1

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

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

rewrite351.0ms (3.1%)

Memory

3.8MiB live, 565.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 398×	`lower-fma.f32`
4 392×	`lower-fma.f64`
4 388×	`lower-/.f32`
4 378×	`lower-/.f64`
3 708×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	203
0	72	209
1	238	177
2	1432	177
0	8585	173

Stop Event

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

Counts

21 → 681

Calls

Call 1

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

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

eval244.0ms (2.2%)

Memory: 7.5MiB live, 401.1MiB allocated
Compiler: Compiled 34 881 to 2 137 computations (93.9% saved)

prune262.0ms (2.3%)

Memory

-19.2MiB live, 591.8MiB allocated

Pruning

97 alts after pruning (91 fresh and 6 done)

	Pruned	Kept	Total
New	1 374	38	1 412
Fresh	19	53	72
Picked	2	3	5
Done	0	3	3
Total	1 395	97	1 492

Accuracy

100.0%

Counts

1 492 → 97

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.1%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
	64.4%	(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
	78.6%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
	78.9%	(/.f64 (.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
	99.4%	(/.f64 (.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	98.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) #s(literal 0 binary64)) (*.f64 (cos.f64 b) (cos.f64 a)))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	51.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a))))
	51.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (cos.f64 a))))
	61.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))))
	65.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
	56.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
✓	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	54.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (sin.f64 a)))))
	55.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b)) (sin.f64 a)))))
▶	63.0%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx ( (sin b) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
	61.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
	61.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	65.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	51.2%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a)))))
	51.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a)))))
	56.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (cos.f64 (-.f64 a b)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))))
	78.6%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (-.f64 a b) (+.f64 b a))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))))) (cos.f64 (-.f64 a b))))
	98.9%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (.f64 (cos.f64 b) (cos.f64 a))))) (.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (.f64 (cos.f64 b) (cos.f64 a)))))))
	78.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 a b) (+.f64 b a))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) (.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (cos.f64 (-.f64 a b))))
	64.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(approx (cos (- a b)) (cos.f64 b))))
	55.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(approx (cos (- a b)) (cos.f64 a))))
	57.2%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	78.9%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))
	99.0%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))
	98.7%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))))))
	38.9%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ ( b (* b b)) (* a (* a a))) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
	33.2%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ ( b (* b b)) (* a (* a a))) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
	72.6%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))
	22.8%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64)))))
	61.7%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ ( b (* b b)) (* a (* a a))) (neg (+ (* a (- a b)) (* b b)))) (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 b a))))))
	41.5%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ ( b (* b b)) (* a (* a a))) (neg (+ (* a (- a b)) (* b b)))) (.f64 a (-.f64 #s(literal -1 binary64) (-.f64 (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 b a)) (.f64 b (/.f64 b (.f64 a a)))))))))
	61.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- a b)) (cos (+ b a))) (cos (- a b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
	52.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- a b)) (cos (+ b a))) (cos (- a b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
	55.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- a b)) (cos (+ b a))) (cos (- a b))) (cos.f64 a)))
	61.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos b) (cos a))) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))))
	51.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos b) (cos a))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))))
✓	64.5%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	37.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	37.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	36.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	41.1%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
	36.3%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
	36.2%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
	51.1%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a)))))
	78.9%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	64.4%	(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r))
	29.2%	(/.f64 #s(approx (* r (sin b)) (.f64 r b)) (cos.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
	36.7%	(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	36.3%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) #s(approx (cos (+ a b)) (cos.f64 b)))
	51.3%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a)))))
	78.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	78.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
	64.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r) (sin.f64 b)))
	64.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (*.f64 r (sin.f64 b))))
▶	31.3%	(.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) #s(literal 1/2 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	98.6%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))
	98.5%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))))
	36.3%	(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
	98.9%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (.f64 (cos.f64 b) (cos.f64 a)))))))
	79.0%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	64.5%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
	99.4%	(.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
	31.2%	(.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
	31.2%	(.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) #s(literal 1/2 binary64)))
	78.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	64.4%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	64.4%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
	64.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (.f64 r (sin.f64 b)))
✓	64.5%	(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	55.2%	(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
	64.4%	(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) r))
	48.3%	(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r)) #s(literal -1 binary64))))
	36.2%	(.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
▶	64.4%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b)))
	41.1%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	33.3%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	51.0%	#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos b) (cos a)))) (*.f64 r (/.f64 b (cos.f64 a))))
✓	51.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
	35.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	34.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	35.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	50.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
	51.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
	51.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
	28.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 a) (.f64 r b))) #s(literal -1 binary64))))
▶	31.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
✓	36.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

Compiler

Compiled 4 356 to 2 633 computations (39.6% saved)

simplify228.0ms (2%)

Memory

-4.9MiB live, 262.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (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) (neg.f64 #s(approx ( (sin b) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
✓	cost-diff	0	(.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) #s(literal 1/2 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) (neg.f64 b))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))
✓	cost-diff	5824	(pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b))))) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (cos (+ a b)) (cos.f64 b))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b)))
✓	cost-diff	0	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
✓	cost-diff	0	#s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
✓	cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
✓	cost-diff	0	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.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)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

Rules

3 768×	`lower-fma.f32`
3 762×	`lower-fma.f64`
2 808×	`lower-*.f32`
2 782×	`lower-*.f64`
1 456×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	383
0	82	381
1	144	371
2	253	371
3	498	366
4	883	366
5	1074	366
6	1410	366
7	1964	366
8	2763	366
9	3476	366
10	4689	366
11	5645	366
12	6123	366
13	6687	366
14	7610	366
0	8096	358

Stop Event

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

Calls

Call 1

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

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

localize283.0ms (2.5%)

Memory

-11.2MiB live, 476.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx ( (sin b) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
✓	accuracy	96.2%	(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 b))
✓	accuracy	54.6%	#s(approx (* (sin b) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))
✓	accuracy	99.7%	(.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) #s(literal 1/2 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
✓	accuracy	78.1%	(pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b))))) #s(literal 1/2 binary64))
✓	accuracy	75.5%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))
✓	accuracy	58.6%	#s(approx (cos (+ a b)) (cos.f64 b))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b)))
✓	accuracy	99.7%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
✓	accuracy	58.6%	#s(approx (cos (+ a b)) (cos.f64 b))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	92.1%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
✓	accuracy	58.6%	#s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
✓	accuracy	51.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
✓	accuracy	99.9%	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
✓	accuracy	99.6%	(*.f64 (sin.f64 b) (sin.f64 a))

Samples

111.0ms	154×	1	valid
69.0ms	70×	2	valid
19.0ms	17×	3	valid
8.0ms	15×	0	valid

Compiler

Compiled 294 to 45 computations (84.7% saved)

Precisions

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

ival-cos: 48.0ms (31.1% of total)

ival-mult: 34.0ms (22% of total)

adjust: 23.0ms (14.9% of total)

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

ival-sin: 12.0ms (7.8% of total)

ival-add: 7.0ms (4.5% of total)

const: 5.0ms (3.2% of total)

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

ival-sqrt: 3.0ms (1.9% 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)

series37.0ms (0.3%)

Memory

23.4MiB live, 60.6MiB allocated

Counts

23 → 564

Calls

Call 1

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

Outputs
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<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)))>
#<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)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<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)))>
#<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)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
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#<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)))>
#<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)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (sin b)>
#<alt (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))>
#<alt (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))>
#<alt (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))>
#<alt (* -1/6 (* (pow a 2) (sin b)))>
#<alt (* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))>
#<alt (* -1/6 (* (pow a 2) (sin b)))>
#<alt (* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))>
#<alt (* b (+ 1 (* -1/6 (pow a 2))))>
#<alt (* b (+ 1 (+ (* -1/6 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))) (* -1/6 (pow a 2)))))>
#<alt (* b (+ 1 (+ (* -1/6 (pow a 2)) (* (pow b 2) (+ (* -1/6 (+ 1 (* -1/6 (pow a 2)))) (* 1/120 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))))))))>
#<alt (* b (+ 1 (+ (* -1/6 (pow a 2)) (* (pow b 2) (+ (* -1/6 (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))) (* 1/120 (+ 1 (* -1/6 (pow a 2)))))))))))>
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* -1/6 (* (pow a 3) (sin b)))>
#<alt (* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))>
#<alt (* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))>
#<alt (* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))>
#<alt (* -1/6 (* (pow a 3) (sin b)))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b)))))>
#<alt (* a (* b (+ 1 (* -1/6 (pow a 2)))))>
#<alt (* b (+ (* -1/6 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* a (+ 1 (* -1/6 (pow a 2))))))>
#<alt (* b (+ (* a (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/6 (* a (+ 1 (* -1/6 (pow a 2))))) (* 1/120 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))))))))>
#<alt (* b (+ (* a (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/6 (* a (+ 1 (* -1/6 (pow a 2))))) (* (pow b 2) (+ (* -1/5040 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* 1/120 (* a (+ 1 (* -1/6 (pow a 2)))))))))))>
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))>
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))>
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))>
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))>
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))>
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))>
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))>
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))>

Calls

141 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(* (+ (* -1/6 (* a a)) 1) (sin b))
2.0ms	b	@	0	(* a (* (+ (* -1/6 (* a a)) 1) (sin b)))
1.0ms	r	@	0	(* (pow (- 1/2 (* 1/2 (cos (* 2 (neg b))))) 1/2) (/ r (cos (+ a b))))
1.0ms	r	@	0	(* (+ (* 1/2 (* a a)) 1) (* r b))
1.0ms	a	@	inf	(* (pow (- 1/2 (* 1/2 (cos (* 2 (neg b))))) 1/2) (/ r (cos (+ a b))))

simplify403.0ms (3.6%)

Memory

5.7MiB live, 603.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 954×	`lower-fma.f64`
9 954×	`lower-fma.f32`
8 508×	`lower-*.f64`
8 508×	`lower-*.f32`
2 306×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	506	7615
1	1735	7235
2	6078	7167
0	9139	6819

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 562

Calls

Call 1

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

Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 b (fma.f64 r (/.f64 (.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 b (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (/.f64 (.f64 r #s(literal -1/6 binary64)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (.f64 b (fma.f64 (fma.f64 (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (/.f64 (.f64 r #s(literal -1/6 binary64)) (cos.f64 a)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (.f64 (.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (/.f64 (.f64 r #s(literal -1/6 binary64)) (cos.f64 a))))))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 r (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (.f64 r (sin.f64 b)) (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 a (fma.f64 a (-.f64 (fma.f64 r (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (.f64 a (fma.f64 (-.f64 (/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))))) (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* b r)
(*.f64 r b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 r #s(literal -1/6 binary64))) r))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (.f64 b b) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (.f64 b b) (.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (fma.f64 b (.f64 (sin.f64 a) #s(literal 1/6 binary64)) (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 a))) (cos.f64 a))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
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(* -1/6 (* (pow a 2) (sin b)))
(.f64 (sin.f64 b) (.f64 a (*.f64 a #s(literal -1/6 binary64))))
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))
(.f64 (.f64 a a) (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (*.f64 a a))))
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))
(.f64 (.f64 a a) (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (*.f64 a a))))
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))
(.f64 (.f64 a a) (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (*.f64 a a))))
(* b (+ 1 (* -1/6 (pow a 2))))
(fma.f64 b (.f64 a (.f64 a #s(literal -1/6 binary64))) b)
(* b (+ 1 (+ (* -1/6 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))) (* -1/6 (pow a 2)))))
(fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) b) b (.f64 a (.f64 a #s(literal -1/6 binary64)))) b)
(* b (+ 1 (+ (* -1/6 (pow a 2)) (* (pow b 2) (+ (* -1/6 (+ 1 (* -1/6 (pow a 2)))) (* 1/120 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))))))))
(fma.f64 b (fma.f64 (.f64 b b) (.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 a (.f64 a #s(literal -1/6 binary64)))) b)
(* b (+ 1 (+ (* -1/6 (pow a 2)) (* (pow b 2) (+ (* -1/6 (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))) (* 1/120 (+ 1 (* -1/6 (pow a 2)))))))))))
(.f64 b (fma.f64 a (.f64 a #s(literal -1/6 binary64)) (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (.f64 a a) #s(literal 1/36 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* (sin b) (+ 1 (* -1/6 (pow a 2))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* (sin b) (+ 1 (* -1/6 (pow a 2))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* (sin b) (+ 1 (* -1/6 (pow a 2))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* (sin b) (+ 1 (* -1/6 (pow a 2))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* (sin b) (+ 1 (* -1/6 (pow a 2))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* (sin b) (+ 1 (* -1/6 (pow a 2))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* (sin b) (+ 1 (* -1/6 (pow a 2))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* (sin b) (+ 1 (* -1/6 (pow a 2))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a (*.f64 a #s(literal -1/6 binary64))) a))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a (*.f64 a #s(literal -1/6 binary64))) a))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a (*.f64 a #s(literal -1/6 binary64))) a))
(* -1/6 (* (pow a 3) (sin b)))
(.f64 (sin.f64 b) (.f64 a (.f64 a (.f64 a #s(literal -1/6 binary64)))))
(* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))
(.f64 (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (.f64 a a))) (.f64 a (.f64 a a)))
(* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))
(.f64 (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (.f64 a a))) (.f64 a (.f64 a a)))
(* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))
(.f64 (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (.f64 a a))) (.f64 a (.f64 a a)))
(* -1/6 (* (pow a 3) (sin b)))
(.f64 (sin.f64 b) (.f64 a (.f64 a (.f64 a #s(literal -1/6 binary64)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b)))))
(.f64 (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (.f64 a a))) (.f64 a (.f64 a a)))
(* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b)))))
(.f64 (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (.f64 a a))) (.f64 a (.f64 a a)))
(* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b)))))
(.f64 (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (.f64 a a))) (.f64 a (.f64 a a)))
(* a (* b (+ 1 (* -1/6 (pow a 2)))))
(.f64 a (fma.f64 b (.f64 a (*.f64 a #s(literal -1/6 binary64))) b))
(* b (+ (* -1/6 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* a (+ 1 (* -1/6 (pow a 2))))))
(.f64 b (fma.f64 a (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 a (.f64 b b)) (fma.f64 (.f64 a a) #s(literal 1/36 binary64) #s(literal -1/6 binary64)))))
(* b (+ (* a (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/6 (* a (+ 1 (* -1/6 (pow a 2))))) (* 1/120 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))))))))
(.f64 b (fma.f64 a (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 b b) (fma.f64 (.f64 b b) (.f64 a (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/120 binary64))) (.f64 a (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/6 binary64)))))))
(* b (+ (* a (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/6 (* a (+ 1 (* -1/6 (pow a 2))))) (* (pow b 2) (+ (* -1/5040 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* 1/120 (* a (+ 1 (* -1/6 (pow a 2)))))))))))
(.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 a (.f64 (.f64 b b) (.f64 #s(literal -1/5040 binary64) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (.f64 a (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/120 binary64)))) (.f64 a (fma.f64 (.f64 a a) #s(literal 1/36 binary64) #s(literal -1/6 binary64)))) (fma.f64 a (.f64 a (*.f64 a #s(literal -1/6 binary64))) a)))
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a (*.f64 a #s(literal -1/6 binary64))) a))
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a (*.f64 a #s(literal -1/6 binary64))) a))
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a (*.f64 a #s(literal -1/6 binary64))) a))
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a (*.f64 a #s(literal -1/6 binary64))) a))
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a (*.f64 a #s(literal -1/6 binary64))) a))
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a (*.f64 a #s(literal -1/6 binary64))) a))
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a (*.f64 a #s(literal -1/6 binary64))) a))
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a (*.f64 a #s(literal -1/6 binary64))) a))

rewrite327.0ms (2.9%)

Memory

-12.7MiB live, 583.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 494×	`lower-*.f32`
5 468×	`lower-*.f64`
5 032×	`lower-/.f32`
5 024×	`lower-/.f64`
3 284×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	276
0	82	258
1	274	243
2	1629	238
0	9150	238

Stop Event

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

Counts

23 → 529

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))))
(/.f64 (.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b 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 b) (sin.f64 a)) #s(literal 3 binary64))) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))
(/.f64 (.f64 (.f64 r (sin.f64 b)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (.f64 r (sin.f64 b)) (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (sin.f64 b) (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(.f64 (neg.f64 (.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
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(pow.f64 (/.f64 (fma.f64 (neg.f64 #s(approx (* (sin b) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) (-.f64 (neg.f64 #s(approx ( (sin b) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 #s(approx ( (sin b) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 #s(approx ( (sin b) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))))))) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (pow.f64 #s(approx ( (sin b) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 #s(approx ( (sin b) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) (-.f64 (neg.f64 #s(approx ( (sin b) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (pow.f64 #s(approx ( (sin b) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 #s(approx (* (sin b) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))))))))
(-.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 b) (cos.f64 a))) #s(literal 2 binary64)) (/.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
#s(approx (* (sin b) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(+.f64 (sin.f64 b) (.f64 (sin.f64 b) (.f64 a (*.f64 a #s(literal -1/6 binary64)))))
(+.f64 (sin.f64 b) (.f64 (.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b)))
(+.f64 (.f64 (sin.f64 b) (.f64 a (*.f64 a #s(literal -1/6 binary64)))) (sin.f64 b))
(+.f64 (.f64 (.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) (sin.f64 b))
(fma.f64 (sin.f64 b) #s(literal 1 binary64) (.f64 (sin.f64 b) (.f64 a (*.f64 a #s(literal -1/6 binary64)))))
(fma.f64 (sin.f64 b) #s(literal 1 binary64) (.f64 (.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b)))
(fma.f64 (sin.f64 b) (.f64 a (.f64 a #s(literal -1/6 binary64))) (sin.f64 b))
(fma.f64 #s(literal 1 binary64) (sin.f64 b) (.f64 (sin.f64 b) (.f64 a (*.f64 a #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1 binary64) (sin.f64 b) (.f64 (.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b)))
(fma.f64 (.f64 a (.f64 a #s(literal -1/6 binary64))) (sin.f64 b) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 a (*.f64 a #s(literal -1/6 binary64)))))
(/.f64 (.f64 (sin.f64 b) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (sin.f64 b)) (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 a (*.f64 a #s(literal -1/6 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (sin.f64 b) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 a (*.f64 a #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (sin.f64 b) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (sin.f64 b))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 a (*.f64 a #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (sin.f64 b))) (neg.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (.f64 a (.f64 a #s(literal -1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (sin.f64 b) (.f64 a (.f64 a #s(literal -1/6 binary64)))) (.f64 (sin.f64 b) (.f64 a (.f64 a #s(literal -1/6 binary64))))) (.f64 (sin.f64 b) (.f64 (sin.f64 b) (.f64 a (*.f64 a #s(literal -1/6 binary64))))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a (.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 a (.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) (.f64 (.f64 a (.f64 a #s(literal -1/6 binary64))) (sin.f64 b))) (.f64 (sin.f64 b) (.f64 (.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 b) (.f64 a (.f64 a #s(literal -1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 b) (.f64 a (.f64 a #s(literal -1/6 binary64)))) (.f64 (sin.f64 b) (.f64 a (.f64 a #s(literal -1/6 binary64)))) (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (sin.f64 b) (.f64 a (.f64 a #s(literal -1/6 binary64)))) (sin.f64 b)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a (.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 a (.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) (.f64 (.f64 a (.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 a (.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) (sin.f64 b)))))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 b))
(.f64 (sin.f64 b) (.f64 a (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 a (.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) a))
(.f64 (.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) a)
(.f64 (.f64 a (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sin.f64 b))
(.f64 (.f64 a (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))

eval156.0ms (1.4%)

Memory: 14.3MiB live, 320.3MiB allocated
Compiler: Compiled 29 940 to 2 435 computations (91.9% saved)

prune358.0ms (3.2%)

Memory

-15.6MiB live, 406.0MiB allocated

Pruning

114 alts after pruning (106 fresh and 8 done)

	Pruned	Kept	Total
New	1 201	25	1 226
Fresh	5	81	86
Picked	3	2	5
Done	0	6	6
Total	1 209	114	1 323

Accuracy

100.0%

Counts

1 323 → 114

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.1%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
	64.4%	(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
	78.6%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
	31.3%	(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))))))))) r) (.f64 (fabs.f64 (cos.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))))
	31.3%	(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))))))))) #s(literal 1 binary64)) (.f64 (fabs.f64 (cos.f64 b)) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r)))
	99.4%	(/.f64 (.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	98.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) #s(literal 0 binary64)) (*.f64 (cos.f64 b) (cos.f64 a)))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	51.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a))))
	51.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (cos.f64 a))))
	61.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))))
	65.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
	56.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
✓	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	54.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (sin.f64 a)))))
	55.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b)) (sin.f64 a)))))
	61.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
	61.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	65.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	51.2%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a)))))
	51.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a)))))
	56.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (cos.f64 (-.f64 a b)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))))
	98.9%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (.f64 (cos.f64 b) (cos.f64 a))))) (.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (.f64 (cos.f64 b) (cos.f64 a)))))))
	78.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 a b) (+.f64 b a))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) (.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (cos.f64 (-.f64 a b))))
	64.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(approx (cos (- a b)) (cos.f64 b))))
	55.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(approx (cos (- a b)) (cos.f64 a))))
	57.2%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	78.9%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))
	99.0%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))
	98.7%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))))))
	38.9%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ ( b (* b b)) (* a (* a a))) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
	33.2%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ ( b (* b b)) (* a (* a a))) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
	72.6%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a))))))
	22.8%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64)))))
	61.7%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ ( b (* b b)) (* a (* a a))) (neg (+ (* a (- a b)) (* b b)))) (*.f64 a (-.f64 #s(literal -1 binary64) (/.f64 b a))))))
	41.5%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ ( b (* b b)) (* a (* a a))) (neg (+ (* a (- a b)) (* b b)))) (.f64 a (-.f64 #s(literal -1 binary64) (-.f64 (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 b a)) (.f64 b (/.f64 b (.f64 a a)))))))))
	61.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- a b)) (cos (+ b a))) (cos (- a b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
	52.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- a b)) (cos (+ b a))) (cos (- a b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
	55.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- a b)) (cos (+ b a))) (cos (- a b))) (cos.f64 a)))
	61.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos b) (cos a))) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))))
	51.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos b) (cos a))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))))
✓	64.5%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	37.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	37.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (*.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	36.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	41.1%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))
	45.9%	(/.f64 (*.f64 r (fabs.f64 (sin.f64 (neg.f64 b)))) #s(approx (cos (+ a b)) (cos.f64 b)))
	36.3%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
	36.2%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (cos (+ a b)) (cos.f64 b)))
	51.1%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a)))))
	78.9%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	64.4%	(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r))
	29.2%	(/.f64 #s(approx (* r (sin b)) (.f64 r b)) (cos.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
	36.7%	(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	36.3%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) #s(approx (cos (+ a b)) (cos.f64 b)))
	51.3%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a)))))
	78.9%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	78.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
	64.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r) (sin.f64 b)))
	64.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (*.f64 r (sin.f64 b))))
	45.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (*.f64 r (fabs.f64 (sin.f64 (neg.f64 b))))))
	19.8%	(.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) #s(literal 1/2 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
	18.3%	(*.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	24.6%	(.f64 (pow.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 (neg b))))) (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	98.6%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))
	98.5%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))))
	31.2%	(.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))))))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal -2 binary64) b)) #s(literal -1/2 binary64))))) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	31.3%	(.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 b #s(literal 2 binary64))))))))) (fabs.f64 (cos.f64 b))) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	36.3%	(*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
	98.9%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (neg.f64 (.f64 (cos.f64 b) (cos.f64 a)))))))
	79.0%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	64.5%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
	99.4%	(.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
	31.2%	(.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
	78.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	31.2%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))))))))))) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	64.4%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
	64.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (.f64 r (sin.f64 b)))
	31.2%	(.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64))))) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	45.9%	(.f64 (.f64 r (fabs.f64 (sin.f64 (neg.f64 b)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))))
	31.3%	(.f64 (sqrt.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) b)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	63.0%	(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))))))))
✓	64.5%	(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	55.2%	(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
	64.4%	(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) r))
	48.3%	(.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r)) #s(literal -1 binary64))))
	9.5%	(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	36.2%	(.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))
	64.4%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b))))
	51.3%	(.f64 r (.f64 (pow.f64 (pow.f64 #s(approx (cos (+ a b)) (cos.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 b)))
✓	64.4%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b)))
	36.3%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b))))
	36.2%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b))))
	51.0%	(.f64 r #s(approx ( (/ 1 (cos (+ a b))) (sin b)) (/.f64 b (cos.f64 a))))
	41.1%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	33.3%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
✓	51.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
	35.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	34.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	35.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	50.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
	51.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
	51.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
	28.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 a) (.f64 r b))) #s(literal -1 binary64))))
	29.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) b) r)))
	12.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 #s(literal 1/2 binary64) (.f64 a a))) (*.f64 r b))))
✓	36.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
	21.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 a (.f64 a (fma.f64 r (.f64 b #s(literal 1/2 binary64)) (.f64 r (/.f64 b (*.f64 a a)))))))))
	15.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 a (.f64 a (.f64 r (.f64 b #s(literal 1/2 binary64))))))))
	31.2%	#s(approx (* (pow (- 1/2 (* 1/2 (cos (* 2 (neg b))))) 1/2) (/ r (cos (+ a b)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 b #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 (+.f64 b a)))))

Compiler

Compiled 5 906 to 2 165 computations (63.3% saved)

regimes275.0ms (2.5%)

Memory

23.1MiB live, 175.7MiB allocated

Counts

169 → 1

Calls

Call 1

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

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

Calls

4 calls:

75.0ms	r
67.0ms	a
66.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
58.0ms	b

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes242.0ms (2.2%)

Memory

-15.9MiB live, 146.1MiB allocated

Counts

149 → 1

Calls

Call 1

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

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

Calls

4 calls:

68.0ms	b
68.0ms	a
39.0ms	r
37.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes255.0ms (2.3%)

Memory

-19.1MiB live, 145.2MiB allocated

Counts

147 → 1

Calls

Call 1

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

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

Calls

4 calls:

73.0ms	b
65.0ms	r
54.0ms	a
36.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
79.0%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
79.0%	1	`r`
79.0%	1	`a`
79.0%	1	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes65.0ms (0.6%)

Memory

-2.1MiB live, 42.8MiB allocated

Counts

42 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
79.0%	1	`r`
79.0%	1	`b`
79.0%	1	`a`
79.0%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes64.0ms (0.6%)

Memory

4.5MiB live, 43.6MiB allocated

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.5%	1	`r`
64.5%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
78.9%	3	`a`
79.0%	3	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes43.0ms (0.4%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.2%	1	`r`
55.2%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
55.2%	1	`a`
55.2%	1	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes58.0ms (0.5%)

Memory

-16.1MiB live, 23.3MiB allocated

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

26.0ms	b
10.0ms	a
10.0ms	r
10.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
51.2%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
51.2%	1	`r`
51.2%	1	`a`
56.0%	3	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
55.9%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
55.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Memory

-34.9MiB live, 4.8MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
55.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
55.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
55.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.0%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
51.0%	1	`r`
51.0%	1	`a`
51.0%	1	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes15.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.0%	1	`r`
51.0%	1	`a`
51.0%	1	`b`
51.0%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes93.0ms (0.8%)

Memory

-30.2MiB live, 11.3MiB allocated

Accuracy

Total -19.1b remaining (-46.9%)

Threshold costs -19.1b (-46.9%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	r
3.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
36.5%	1	`r`
36.5%	1	`a`
36.5%	1	`b`
36.5%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch44.0ms (0.4%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.103622999090616e-11	0.1847638022343249
19.0ms	-1.35078850094174e-6	-7.862137987806433e-13

Samples

19.0ms	149×	1	valid
10.0ms	155×	0	valid

Compiler

Compiled 452 to 299 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 7.0ms (35.7% of total)

ival-sin: 3.0ms (15.3% of total)

ival-add: 2.0ms (10.2% of total)

ival-div: 2.0ms (10.2% of total)

adjust: 2.0ms (10.2% of total)

ival-mult: 2.0ms (10.2% of total)

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

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

bsearch37.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.863273831255785	465.57032416691743
16.0ms	-6.087395536442874	-0.6627092336529397

Samples

15.0ms	99×	1	valid
11.0ms	109×	0	valid

Compiler

Compiled 561 to 352 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sin: 7.0ms (35.5% of total)

ival-cos: 7.0ms (35.5% of total)

ival-add: 2.0ms (10.1% of total)

adjust: 2.0ms (10.1% of total)

ival-div: 1.0ms (5.1% of total)

ival-mult: 1.0ms (5.1% of total)

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

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

bsearch21.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.863273831255785	465.57032416691743
9.0ms	-6.087395536442874	-0.6627092336529397

Samples

8.0ms	53×	1	valid
6.0ms	59×	0	valid

Compiler

Compiled 496 to 300 computations (39.5% saved)

Precisions

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

ival-sin: 4.0ms (38.2% of total)

ival-cos: 3.0ms (28.7% of total)

ival-add: 1.0ms (9.6% of total)

ival-div: 1.0ms (9.6% of total)

adjust: 1.0ms (9.6% of total)

ival-mult: 1.0ms (9.6% of total)

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

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

bsearch12.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.6579383444074074	2.863273831255785
1.0ms	-6.087395536442874	-0.6627092336529397

Samples

4.0ms	29×	1	valid
4.0ms	35×	0	valid

Compiler

Compiled 335 to 214 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sin: 2.0ms (33.2% of total)

ival-cos: 2.0ms (33.2% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.6579383444074074	2.863273831255785
1.0ms	-6.087395536442874	-0.6627092336529397

Compiler

Compiled 335 to 214 computations (36.1% saved)

bsearch70.0ms (0.6%)

Memory

-36.3MiB live, 3.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
64.0ms	2.863273831255785	465.57032416691743
5.0ms	-6.087395536442874	-0.6627092336529397

Samples

2.0ms	21×	0	valid
2.0ms	11×	1	valid

Compiler

Compiled 340 to 222 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sin: 1.0ms (35.2% of total)

ival-cos: 1.0ms (35.2% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch24.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.103622999090616e-11	0.1847638022343249
6.0ms	-6.087395536442874	-0.6627092336529397

Samples

10.0ms	80×	1	valid
6.0ms	80×	0	valid

Compiler

Compiled 383 to 254 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 4.0ms (35.4% of total)

ival-sin: 2.0ms (17.7% of total)

ival-add: 1.0ms (8.8% of total)

ival-div: 1.0ms (8.8% of total)

adjust: 1.0ms (8.8% of total)

ival-mult: 1.0ms (8.8% of total)

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

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

simplify12.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	498
1	150	498
2	161	498
3	166	498
4	168	498

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(if (<=.f64 b #s(literal -1983393922805251/2361183241434822606848 binary64)) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 7526271582073497/147573952589676412928 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 b (cos.f64 a)) r)) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
(if (<=.f64 b #s(literal -3039929748475085/562949953421312 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 115 binary64)) (/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -2476979795053773/562949953421312 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 40 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -3039929748475085/562949953421312 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 5854679515581645/2251799813685248 binary64)) (/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -3039929748475085/562949953421312 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 5854679515581645/2251799813685248 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (.f64 b b)) r))) (cos.f64 (+.f64 a b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 40 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 r b)) (cos.f64 (+.f64 a b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3278620528725721/18014398509481984 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 b (cos.f64 a)) r)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

Outputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(if (<=.f64 b #s(literal -1983393922805251/2361183241434822606848 binary64)) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 7526271582073497/147573952589676412928 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 b (cos.f64 a)) r)) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))))
(if (<=.f64 b #s(literal -1983393922805251/2361183241434822606848 binary64)) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 7526271582073497/147573952589676412928 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 r (/.f64 b (cos.f64 a)))) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
(if (<=.f64 b #s(literal -3039929748475085/562949953421312 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 115 binary64)) (/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -3039929748475085/562949953421312 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 115 binary64)) (/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -2476979795053773/562949953421312 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 40 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -2476979795053773/562949953421312 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 40 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -3039929748475085/562949953421312 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 5854679515581645/2251799813685248 binary64)) (/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -3039929748475085/562949953421312 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 5854679515581645/2251799813685248 binary64)) (/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -3039929748475085/562949953421312 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 5854679515581645/2251799813685248 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (.f64 b b)) r))) (cos.f64 (+.f64 a b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -3039929748475085/562949953421312 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 5854679515581645/2251799813685248 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (.f64 b b)) r))) (cos.f64 (+.f64 b a))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 40 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 r b)) (cos.f64 (+.f64 a b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 40 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 r b)) (cos.f64 (+.f64 b a))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3278620528725721/18014398509481984 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 b (cos.f64 a)) r)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3278620528725721/18014398509481984 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 r (/.f64 b (cos.f64 a)))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos b) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

soundness1.2s (11.1%)

Memory

4.9MiB live, 1 115.1MiB allocated

Rules

10 934×	`lower-fma.f64`
10 934×	`lower-fma.f32`
9 318×	`lower-fma.f64`
9 318×	`lower-fma.f32`
8 076×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	384	6495
1	1260	6144
2	4380	6067
0	8761	5852
0	167	960
1	517	928
2	1595	886
3	5409	885
0	8292	853
0	38	213
0	69	139
1	249	126
2	1747	126
0	8292	126
0	597	6591
1	1999	6241
2	6630	6110
0	8385	5915
0	8	19
0	13	19
1	44	19
2	234	19
3	2050	19
0	8441	19

Stop Event

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

Compiler

Compiled 815 to 374 computations (54.1% saved)

preprocess95.0ms (0.8%)

Memory: 25.5MiB live, 303.2MiB allocated
Remove: (negabs r)
Compiler: Compiled 914 to 318 computations (65.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze309.0ms (2.8%)

sample1.5s (13.4%)

preprocess111.0ms (1%)

explain173.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize47.0ms (0.4%)

series13.0ms (0.1%)

simplify353.0ms (3.2%)

rewrite504.0ms (4.5%)

eval30.0ms (0.3%)

prune67.0ms (0.6%)

simplify182.0ms (1.6%)

localize298.0ms (2.7%)

series61.0ms (0.5%)

simplify328.0ms (2.9%)

rewrite336.0ms (3%)

eval255.0ms (2.3%)

prune331.0ms (3%)

simplify259.0ms (2.3%)

localize243.0ms (2.2%)

series44.0ms (0.4%)

simplify359.0ms (3.2%)

rewrite351.0ms (3.1%)

eval244.0ms (2.2%)

prune262.0ms (2.3%)

simplify228.0ms (2%)

localize283.0ms (2.5%)

series37.0ms (0.3%)

simplify403.0ms (3.6%)

rewrite327.0ms (2.9%)

eval156.0ms (1.4%)

prune358.0ms (3.2%)

regimes275.0ms (2.5%)

regimes242.0ms (2.2%)

regimes255.0ms (2.3%)

regimes65.0ms (0.6%)

regimes64.0ms (0.6%)

regimes43.0ms (0.4%)

regimes58.0ms (0.5%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes26.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes21.0ms (0.2%)

regimes15.0ms (0.1%)

regimes93.0ms (0.8%)

bsearch44.0ms (0.4%)

bsearch37.0ms (0.3%)

bsearch21.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch70.0ms (0.6%)

bsearch24.0ms (0.2%)

simplify12.0ms (0.1%)

soundness1.2s (11.1%)

preprocess95.0ms (0.8%)

end0.0ms (0%)

Profiling