Metrics for rsin A (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze301.0ms (2.8%)

Memory

-17.1MiB live, 476.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (16.5%)

Memory

-1.4MiB live, 2 259.2MiB allocated

Samples

1.3s	5 892×	1	valid
159.0ms	2 364×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 962.0ms

ival-cos: 297.0ms (30.9% of total)

ival-sin: 260.0ms (27% of total)

adjust: 125.0ms (13% of total)

ival-div: 94.0ms (9.8% of total)

ival-add: 93.0ms (9.7% of total)

ival-mult: 83.0ms (8.6% of total)

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

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

Bogosity

explain352.0ms (3.3%)

Memory

1.6MiB live, 312.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
73	120	(1.009167376440306e-222 -1.1262123939089794e+24 -3.1513496797149e-254)	-	`(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	193	0

Confusion

	Predicted +	Predicted -
+	73	0
-	120	63

Precision

0.37823834196891193

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	120	0	63

Precision?

0.37823834196891193

Recall?

1.0

Freqs

test

number	freq
0	63
1	193

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	370×	1	valid
10.0ms	142×	0	valid

Compiler

Compiled 66 to 28 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-cos: 16.0ms (30.6% of total)

ival-sin: 13.0ms (24.9% of total)

adjust: 8.0ms (15.3% of total)

ival-div: 6.0ms (11.5% of total)

ival-add: 5.0ms (9.6% of total)

ival-mult: 4.0ms (7.6% of total)

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

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

preprocess112.0ms (1%)

Memory

25.2MiB live, 60.7MiB 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)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize62.0ms (0.6%)

Memory

-13.9MiB live, 101.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 b)
accuracy	0.10546875	(*.f64 r (sin.f64 b))
accuracy	0.240566259768442	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy	15.186935564422267	(cos.f64 (+.f64 a b))

Samples

48.0ms	185×	1	valid
5.0ms	71×	0	valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-cos: 16.0ms (50.6% of total)

ival-sin: 6.0ms (19% of total)

adjust: 3.0ms (9.5% of total)

ival-add: 2.0ms (6.3% of total)

ival-div: 2.0ms (6.3% of total)

ival-mult: 2.0ms (6.3% of total)

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

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

series11.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB 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	r	@	inf	(/ (* r (sin b)) (cos (+ a b)))
1.0ms	a	@	inf	(/ (* r (sin b)) (cos (+ a b)))

simplify256.0ms (2.4%)

Memory

-10.2MiB live, 380.1MiB 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 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (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 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 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 (sin.f64 b) (/.f64 r (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))

rewrite312.0ms (2.9%)

Memory

-16.2MiB live, 434.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 138

Calls

Call 1

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

Outputs
(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: 11.3MiB live, 84.7MiB allocated
Compiler: Compiled 3 974 to 536 computations (86.5% saved)

prune74.0ms (0.7%)

Memory

-10.0MiB live, 152.0MiB allocated

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	197	36	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	198	36	234

Accuracy

99.8%

Counts

234 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	36.2%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
	75.6%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	98.6%	(/.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))))))))
	76.2%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))))
	75.9%	(/.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)))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
	76.1%	(/.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)))))
	46.6%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
	54.9%	(/.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))))
	54.8%	(/.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))))
	53.7%	(/.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))))
	53.6%	(/.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))))
	54.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
	55.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
	56.2%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	57.3%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	53.3%	(/.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)))
	54.1%	(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
	53.3%	(/.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)))
	76.0%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	75.7%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	76.0%	(*.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)))
▶	76.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	76.2%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
▶	75.6%	(.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))))
	76.1%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	76.1%	(.f64 (sin.f64 (neg.f64 b)) (.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
	76.2%	(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
	36.2%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	52.6%	#s(approx (/ (* r (sin b)) (cos (+ a 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 (sin.f64 b) (/.f64 r (cos.f64 b)))))
▶	54.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
	56.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
▶	54.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.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)))))

Compiler

Compiled 1 466 to 878 computations (40.1% saved)

simplify156.0ms (1.5%)

Memory

23.0MiB live, 173.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
cost-diff	0	(.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))))
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.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)))))
cost-diff	6464	(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
cost-diff	320	(.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))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
cost-diff	0	(cos.f64 (+.f64 b a))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
cost-diff	0	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
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	6336	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))

Rules

3 502×	`lower-fma.f32`
3 498×	`lower-fma.f64`
2 962×	`lower-*.f32`
2 948×	`lower-*.f64`
1 494×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	251
0	64	241
1	114	241
2	201	241
3	375	238
4	855	238
5	1898	238
6	2939	235
7	4013	235
8	6196	235
0	8100	232

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

localize242.0ms (2.3%)

Memory

-13.0MiB live, 413.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.234375	(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
accuracy	0.26009750976844204	(pow.f64 (cos.f64 a) #s(literal 2 binary64))
accuracy	1.3743039889859483	(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
accuracy	29.188409312522033	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.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)))))
accuracy	0.2265625	(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
accuracy	0.2734375	(.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))))
accuracy	0.5298988195467612	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
accuracy	15.186935564422276	(cos.f64 (+.f64 b a))
accuracy	0	(sin.f64 b)
accuracy	0.16796875	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
accuracy	0.2265625	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
accuracy	15.186935564422276	(cos.f64 (+.f64 b a))
accuracy	0	(*.f64 r b)
accuracy	0	(cos.f64 a)
accuracy	0.11328125	(/.f64 (*.f64 r b) (cos.f64 a))
accuracy	29.23776505097064	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
accuracy	0.10546875	(*.f64 r (sin.f64 b))
accuracy	0.16517735241743065	(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy	0.21484375	(*.f64 (sin.f64 b) (sin.f64 a))
accuracy	0.240566259768442	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))

Samples

170.0ms	185×	1	valid
23.0ms	71×	0	valid

Compiler

Compiled 232 to 37 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-cos: 53.0ms (33.5% of total)

ival-div: 31.0ms (19.6% of total)

ival-mult: 23.0ms (14.5% of total)

ival-sin: 15.0ms (9.5% of total)

ival-add: 13.0ms (8.2% of total)

ival-pow2: 12.0ms (7.6% of total)

adjust: 10.0ms (6.3% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory

-18.7MiB live, 137.9MiB allocated

Counts

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

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)>
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#<alt (* -1 (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))))>
#<alt r>
#<alt (+ r (* a (* b r)))>
#<alt (+ r (* a (+ (* 1/2 (* a r)) (* b r))))>
#<alt (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<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)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2))>
#<alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2))>
#<alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))>
#<alt (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))>
#<alt (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))>
#<alt (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))>
#<alt (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))>
#<alt (* b r)>
#<alt (+ (* a (* (pow b 2) r)) (* b r))>
#<alt (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))>
#<alt (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (* a r)>
#<alt (* a (+ r (* (pow a 2) (- (* -1/6 r) (* -1 r)))))>
#<alt (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))>
#<alt (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (+ (* 1/120 r) (* (pow a 2) (- (* -1/5040 r) (+ (* -1 (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r)))) (+ (* -2/45 r) (* 1/3 (- (* -1/6 r) (* -1 r)))))))) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos a) 2))>
#<alt (/ (* r (sin a)) (pow (cos 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 1>
#<alt (+ 1 (* -1 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>
#<alt (pow (cos a) 2)>

Calls

135 calls:

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

simplify299.0ms (2.8%)

Memory

2.7MiB live, 407.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 824×	`lower-*.f64`
7 824×	`lower-*.f32`
7 134×	`lower-fma.f64`
7 134×	`lower-fma.f32`
2 502×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	431	6731
1	1399	6523
2	4541	6466
0	8271	6209

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 538

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))
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1
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r
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(* a r)
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(* 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))
1
(+ 1 (* -1 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos a) 2)
(pow (cos 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 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 r (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ 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 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 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 (fma.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (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 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 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 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 r a) (/.f64 (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 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (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 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 (fma.f64 (sin.f64 b) (/.f64 (fma.f64 r (neg.f64 (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))) (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) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))))) (/.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 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 b (.f64 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 b (.f64 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 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 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos 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 #s(literal -1/2 binary64) (.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (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)))
(-.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 (-.f64 (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 b) a) (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (sin.f64 b)) (cos.f64 b))
(- (* (cos a) (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)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
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(.f64 r (fma.f64 a (.f64 b b) b))
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))
(fma.f64 a (fma.f64 r (.f64 b b) (.f64 a (.f64 (.f64 r b) #s(literal 1/2 binary64)))) (*.f64 r b))
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))
(fma.f64 a (.f64 a (fma.f64 b (.f64 (.f64 b (.f64 r a)) #s(literal 5/6 binary64)) (.f64 (.f64 r b) #s(literal 1/2 binary64)))) (.f64 r (fma.f64 a (.f64 b b) b)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 r (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 r (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 r (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 r (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 r (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 r (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 r (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 r (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(* a r)
(*.f64 r a)
(* a (+ r (* (pow a 2) (- (* -1/6 r) (* -1 r)))))
(.f64 a (fma.f64 a (.f64 a (*.f64 r #s(literal 5/6 binary64))) r))
(* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))
(.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/3 binary64) (.f64 r #s(literal 5/6 binary64)))) (*.f64 r #s(literal 5/6 binary64))) r))
(* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (+ (* 1/120 r) (* (pow a 2) (- (* -1/5040 r) (+ (* -1 (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r)))) (+ (* -2/45 r) (* 1/3 (- (* -1/6 r) (* -1 r)))))))) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))
(.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 (.f64 a a) (-.f64 (fma.f64 r #s(literal -1/5040 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/3 binary64) (.f64 r #s(literal 5/6 binary64))))) (fma.f64 r #s(literal -2/45 binary64) (.f64 r #s(literal 5/18 binary64)))) (fma.f64 r #s(literal -1/3 binary64) (.f64 r #s(literal 5/6 binary64))))) (.f64 r #s(literal 5/6 binary64))) r))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(/ (* r (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(.f64 b (.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #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 b (.f64 b #s(literal -1/6 binary64)) #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 a a) (.f64 (.f64 a a) (.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (.f64 a a) #s(literal 1/120 binary64)))))))
(* (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))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow a 2)))
(-.f64 #s(literal 1 binary64) (*.f64 a a))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (*.f64 a a) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))

rewrite429.0ms (4%)

Memory

9.5MiB live, 434.4MiB allocated

Rules

5 070×	`lower-/.f32`
5 054×	`lower-/.f64`
4 842×	`lower-*.f32`
4 828×	`lower-*.f64`
2 564×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	186
0	64	162
1	229	162
2	1488	154
0	8410	154

Stop Event

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

Counts

20 → 1 183

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

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

eval378.0ms (3.5%)

Memory: 52.2MiB live, 548.5MiB allocated
Compiler: Compiled 49 450 to 3 422 computations (93.1% saved)

prune377.0ms (3.5%)

Memory

-21.8MiB live, 770.3MiB allocated

Pruning

85 alts after pruning (82 fresh and 3 done)

	Pruned	Kept	Total
New	1 942	69	2 011
Fresh	18	13	31
Picked	2	3	5
Done	0	0	0
Total	1 962	85	2 047

Accuracy

99.9%

Counts

2 047 → 85

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	36.2%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
	54.6%	(/.f64 (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	98.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	75.6%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
	54.5%	(/.f64 (.f64 (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	99.2%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	75.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	57.2%	(/.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)))))
	62.9%	(/.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)))))
	63.5%	(/.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))))))
	55.9%	(/.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)))))))
	53.8%	(/.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)))))
	53.8%	(/.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)))))
	53.7%	(/.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)))))
	57.5%	(/.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)))))
	98.9%	(/.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) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
	98.9%	(/.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) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
	75.9%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (cos.f64 (-.f64 b a)))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	46.6%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
	55.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
	56.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
	57.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
	54.6%	(/.f64 #s(approx (* r (sin b)) (.f64 r b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	54.1%	(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
	53.3%	(/.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)))
	76.0%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	75.7%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	75.7%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
	30.7%	(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	76.1%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b))
	76.1%	(.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)))))
▶	99.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))) r)
	98.6%	(.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))) r)
✓	76.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	54.8%	(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))) r)
	54.3%	(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))) r)
	56.2%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r)
	57.3%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)
	53.3%	(.f64 (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a))) r)
	76.1%	(.f64 (/.f64 r (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
	76.2%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
▶	30.9%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 r (sin.f64 b)) (.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	75.5%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
▶	75.5%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	76.1%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r)
	98.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
	98.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 b) (cos.f64 a))))))
	98.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 b) (cos.f64 a)))))))
	54.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
	56.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))))
	56.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	53.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx ( r (sin b)) (*.f64 r b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	76.0%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	76.1%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	53.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	76.1%	(.f64 (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) r)
	76.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r)
	76.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
	41.1%	(.f64 (exp.f64 (log.f64 (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	54.2%	(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r)
	54.1%	(.f64 #s(approx (/ 1 (/ 1 ( r (sin b)))) (*.f64 r b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	53.2%	(.f64 #s(approx (/ 1 (/ 1 ( r (sin b)))) (.f64 b (fma.f64 r (.f64 b (*.f64 b #s(literal -1/6 binary64))) r))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	36.2%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	54.2%	#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
	54.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 b (cos.f64 a)) r (.f64 (.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (*.f64 b b))))
	54.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (.f64 (.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (.f64 b b))))
✓	54.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
	33.0%	#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)))))
	33.0%	#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)))))
	33.2%	#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)))))
	54.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	53.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
	54.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (fma.f64 b (.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (/.f64 r (cos.f64 a))) b))
▶	56.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	54.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
	53.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 b (fma.f64 b (/.f64 (.f64 r (sin.f64 a)) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a)))))
	31.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 b #s(approx (+ ( b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
	27.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 b #s(approx (+ ( b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 a (*.f64 r (fma.f64 a #s(literal 1/2 binary64) b)) r))))
	28.9%	#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))))
▶	34.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
	32.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r (fma.f64 a (.f64 b b) b))))

Compiler

Compiled 3 573 to 2 100 computations (41.2% saved)

simplify296.0ms (2.8%)

Memory

3.2MiB live, 297.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))
cost-diff	0	(pow.f64 (.f64 (.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 r (sin.f64 b)) (.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
cost-diff	0	(/.f64 #s(literal 1 binary64) r)
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
cost-diff	0	(/.f64 r (cos.f64 b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (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 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff	0	(sin.f64 b)
cost-diff	320	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))) r)
cost-diff	6016	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))

Rules

8 270×	`lower-fma.f32`
8 268×	`lower-fma.f64`
2 412×	`lower-*.f32`
2 396×	`lower-*.f64`
1 632×	`lower-+.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	40	260
0	64	258
1	111	248
2	181	248
3	325	248
4	606	248
5	1155	248
6	1959	248
7	3006	244
8	4767	244
9	5846	244
10	6877	244
11	7519	244
12	7600	244
13	7669	244
0	8341	244

Stop Event

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

Calls

Call 1

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

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

localize248.0ms (2.3%)

Memory

-2.2MiB live, 531.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2780075195368841	(.f64 (.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))
accuracy	0.5298988195467612	(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
accuracy	15.186935564422276	(cos.f64 (+.f64 b a))
accuracy	26.27602817962835	(pow.f64 (.f64 (.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))
accuracy	0.2734375	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
accuracy	0.30306625976844204	(/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))
accuracy	0.5298988195467612	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))
accuracy	15.186935564422276	(cos.f64 (+.f64 b a))
accuracy	0	(cos.f64 b)
accuracy	0.08984375	(/.f64 r (cos.f64 b))
accuracy	0.15625	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
accuracy	27.971031364572056	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
accuracy	0	(*.f64 r b)
accuracy	26.318332474837778	#s(approx (/ (* r b) (cos a)) (*.f64 r b))
accuracy	29.23776505097064	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
accuracy	0.16517735241743065	(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy	0.16796875	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))) r)
accuracy	0.21484375	(*.f64 (sin.f64 b) (sin.f64 a))
accuracy	0.2265625	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))

Samples

164.0ms	185×	1	valid
29.0ms	71×	0	valid

Compiler

Compiled 242 to 36 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-cos: 32.0ms (22.7% of total)

ival-div: 31.0ms (22% of total)

ival-mult: 27.0ms (19.1% of total)

ival-sin: 18.0ms (12.7% of total)

ival-pow: 15.0ms (10.6% of total)

adjust: 10.0ms (7.1% of total)

ival-add: 6.0ms (4.2% of total)

ival-neg: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory

-9.2MiB live, 70.1MiB allocated

Counts

21 → 540

Calls

Call 1

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

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

Calls

135 calls:

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

simplify256.0ms (2.4%)

Memory

8.9MiB live, 479.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 624×	`lower-fma.f64`
7 624×	`lower-fma.f32`
7 540×	`lower-*.f64`
7 540×	`lower-*.f32`
2 434×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	6190
1	1347	5966
2	4534	5828
0	8304	5662

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 538

Calls

Call 1

Inputs
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (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)) (- (* (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
(* 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))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(* b r)
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
r
(+ r (* 1/2 (* (pow b 2) r)))
(+ r (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos b))
(/ r (cos 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))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ (* 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))))
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ 1 r)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(/ (* 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))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* 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))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow b 2) (pow r 2))
(* (pow b 2) (+ (* -1/3 (* (pow b 2) (pow r 2))) (pow r 2)))
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* 2/45 (* (pow b 2) (pow r 2))))) (pow r 2)))
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* (pow b 2) (+ (* -1/315 (* (pow b 2) (pow r 2))) (* 2/45 (pow r 2)))))) (pow r 2)))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 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))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos 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)))

Outputs
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 b (*.f64 b (fma.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (fma.f64 (fma.f64 (sin.f64 a) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (neg.f64 (cos.f64 a))) (/.f64 (.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (.f64 b b) (/.f64 b (cos.f64 a)))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b)) (.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 b (fma.f64 b (/.f64 (.f64 (sin.f64 a) r) (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 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 (sin.f64 a) r) (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))))
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(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* -1 (* r (sin b)))
(neg.f64 (*.f64 (sin.f64 b) r))
(* -1 (* r (sin b)))
(neg.f64 (*.f64 (sin.f64 b) r))
(* -1 (* r (sin b)))
(neg.f64 (*.f64 (sin.f64 b) r))
(* -1 (* r (sin b)))
(neg.f64 (*.f64 (sin.f64 b) r))
(* b r)
(*.f64 b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(.f64 b (fma.f64 b (.f64 b (*.f64 r #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 r (.f64 b b)) (fma.f64 b (.f64 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 b (.f64 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 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ -1 (* r (sin b)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))
(/ -1 (* r (sin b)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))
(/ -1 (* r (sin b)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))
(/ -1 (* r (sin b)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* b r))
(/.f64 #s(literal 1 binary64) (*.f64 b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/.f64 (fma.f64 (/.f64 (.f64 b b) r) (fma.f64 (.f64 b b) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/.f64 (fma.f64 (.f64 b b) (fma.f64 (/.f64 (.f64 b b) r) (fma.f64 (*.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow b 2) (pow r 2))
(.f64 r (.f64 r (*.f64 b b)))
(* (pow b 2) (+ (* -1/3 (* (pow b 2) (pow r 2))) (pow r 2)))
(.f64 (.f64 b b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 r r)))
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* 2/45 (* (pow b 2) (pow r 2))))) (pow r 2)))
(.f64 (.f64 b b) (fma.f64 (.f64 r (.f64 r (.f64 b b))) (fma.f64 (.f64 b b) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 r r)))
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* (pow b 2) (+ (* -1/315 (* (pow b 2) (pow r 2))) (* 2/45 (pow r 2)))))) (pow r 2)))
(.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 (.f64 r (.f64 r (.f64 b b))) (fma.f64 (.f64 b b) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) (.f64 r (.f64 r #s(literal -1/3 binary64)))) (.f64 r r)))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* 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 b (.f64 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 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* a (sin b))
(*.f64 a (sin.f64 b))
(* 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 a a) (.f64 (.f64 a a) (.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (.f64 a a) #s(literal 1/120 binary64)))))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
1
#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 (.f64 b 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)
(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 (cos.f64 a) (.f64 b #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 (-.f64 (.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 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 a (sin.f64 b)))
(+ (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 (-.f64 (.f64 a (fma.f64 a (.f64 (sin.f64 b) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (sin.f64 b)) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))

rewrite230.0ms (2.1%)

Memory

-1.3MiB live, 351.2MiB allocated

Rules

3 868×	`lower-/.f32`
3 856×	`lower-/.f64`
3 852×	`lower-*.f32`
3 838×	`lower-*.f64`
3 064×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	200
0	64	149
1	235	141
2	1371	135
0	8464	135

Stop Event

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

Counts

21 → 1 031

Calls

Call 1

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

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

eval315.0ms (2.9%)

Memory: 6.1MiB live, 470.1MiB allocated
Compiler: Compiled 42 514 to 2 884 computations (93.2% saved)

prune281.0ms (2.6%)

Memory

-12.1MiB live, 619.8MiB allocated

Pruning

96 alts after pruning (90 fresh and 6 done)

	Pruned	Kept	Total
New	1 808	51	1 859
Fresh	38	39	77
Picked	2	3	5
Done	0	3	3
Total	1 848	96	1 944

Accuracy

99.9%

Counts

1 944 → 96

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	36.2%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
	54.6%	(/.f64 (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	98.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	75.6%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	75.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	57.2%	(/.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)))))
	62.9%	(/.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)))))
	63.5%	(/.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))))))
	53.8%	(/.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)))))
	53.8%	(/.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)))))
	53.7%	(/.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)))))
	57.5%	(/.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)))))
	98.9%	(/.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) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
▶	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	55.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
	56.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))
	57.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))
	53.3%	(/.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)))
	76.0%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	75.7%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))))
	43.6%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sin.f64 b) r))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
▶	43.6%	(.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	99.3%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))) r)
	76.1%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b))
	34.4%	(.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r)
	75.8%	(.f64 (/.f64 (sqrt.f64 r) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (*.f64 (sin.f64 b) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
	75.9%	(.f64 (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) (sqrt.f64 r)) #s(literal 1 binary64)))
	27.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (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 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 (cos.f64 b) (cos.f64 a)))) r)
	86.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) r)
✓	99.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))) r)
	63.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx ( (sin b) (sin a)) (*.f64 b (sin.f64 a)))))) r)
	54.9%	(.f64 (/.f64 (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))))) r)
	58.5%	(.f64 (/.f64 (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))))) r)
	86.4%	(.f64 (/.f64 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 (cos.f64 b) (cos.f64 a))) (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 b) (cos.f64 a)))))) r)
	98.9%	(.f64 (/.f64 (sin.f64 b) (.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b 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 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) r)
	76.0%	(.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)))))
✓	76.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	54.8%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) r)
	54.3%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) r)
	57.3%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
	76.0%	(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	76.2%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	19.2%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r) r) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
▶	27.8%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 r (sin.f64 b)) (.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	83.2%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
	98.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	54.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))))
	55.9%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))))
	56.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	70.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 r) #s(literal -1 binary64))) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	76.1%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r)
	98.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
	98.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 b) (cos.f64 a)))))))
	54.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
	76.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) r)
	76.1%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) r))
	53.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow ( (* r (sin b)) (* r (sin b))) -1/2) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	14.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow ( (* r (sin b)) (* r (sin b))) -1/2) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	43.6%	(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sin.f64 b) r)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r)))))
	75.8%	(.f64 (.f64 (*.f64 (sin.f64 b) (sqrt.f64 r)) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	18.9%	(.f64 (sqrt.f64 (.f64 (.f64 r r) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	41.1%	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 b) r))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	54.2%	(.f64 #s(approx (/ (sin b) (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))) r)
	14.1%	(.f64 #s(approx (/ 1 (pow ( (* r (sin b)) (* r (sin b))) -1/2)) (neg.f64 (*.f64 (sin.f64 b) r))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	36.2%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	54.2%	#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
	54.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 b (cos.f64 a)) r (.f64 (.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (*.f64 b b))))
	54.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (.f64 (.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (.f64 b b))))
✓	54.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
	33.0%	#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)))))
	33.0%	#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)))))
	33.2%	#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)))))
	55.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))))
	56.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))
	54.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (fma.f64 b (.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (/.f64 r (cos.f64 a))) b))
	28.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 b))) (/.f64 r (cos.f64 b))))
	56.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
	24.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 r (cos.f64 b))))
✓	56.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	34.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	37.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))))
	56.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r)))
	40.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 b) r)) #s(literal -1 binary64)))))
	54.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
	53.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 b (fma.f64 b (/.f64 (.f64 r (sin.f64 a)) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a)))))
	31.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 b #s(approx (+ ( b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
	27.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 b #s(approx (+ ( b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 a (*.f64 r (fma.f64 a #s(literal 1/2 binary64) b)) r))))
	34.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
	28.9%	#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))))
✓	34.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
	34.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (sin b) (/ r (cos b))) (.f64 b (fma.f64 b (.f64 b (*.f64 r #s(literal 1/3 binary64))) r))))
▶	32.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r (fma.f64 a (.f64 b b) b))))
▶	14.1%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))))

Compiler

Compiled 3 847 to 2 381 computations (38.1% saved)

simplify197.0ms (1.8%)

Memory

-10.7MiB live, 183.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))
cost-diff	0	(pow.f64 (.f64 (.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))
cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 r (sin.f64 b)) (.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
cost-diff	0	(*.f64 (sin.f64 b) r)
cost-diff	0	(sqrt.f64 (*.f64 (sin.f64 b) r))
cost-diff	320	(.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
cost-diff	7104	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) #s(literal 2 binary64))
cost-diff	0	(*.f64 (sin.f64 b) r)
cost-diff	0	(neg.f64 (*.f64 (sin.f64 b) r))
cost-diff	0	(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a)))
cost-diff	0	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))))
cost-diff	0	(fma.f64 a (*.f64 b b) b)
cost-diff	0	(.f64 r (fma.f64 a (.f64 b b) b))
cost-diff	0	#s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r (fma.f64 a (.f64 b b) b)))
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r (fma.f64 a (.f64 b b) 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

5 826×	`lower-fma.f32`
5 824×	`lower-fma.f64`
4 094×	`lower-*.f32`
4 076×	`lower-*.f64`
1 510×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	333
0	87	325
1	163	321
2	286	311
3	561	307
4	1003	307
5	1401	307
6	1661	307
7	2130	307
8	3485	307
9	5282	307
10	6927	307
11	7428	307
12	7589	307
13	7666	307
14	7811	307
0	8039	305

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

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

localize274.0ms (2.6%)

Memory

16.9MiB live, 266.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 r (sin.f64 b)) (.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
accuracy	0.14910126953688402	(.f64 (.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))
accuracy	13.08011168309517	#s(approx (cos (+ b a)) (cos.f64 a))
accuracy	13.827363968143692	(pow.f64 (.f64 (.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))
accuracy	0.1328125	(.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
accuracy	0.250663769536884	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) #s(literal 2 binary64))
accuracy	3.107268648301741	(sqrt.f64 (*.f64 (sin.f64 b) r))
accuracy	7.169187124296918	(cos.f64 (+.f64 b a))
accuracy	0.046875	(*.f64 (sin.f64 b) r)
accuracy	0.12109375	(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a)))
accuracy	7.169187124296918	(cos.f64 (+.f64 b a))
accuracy	28.63434881160573	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))))
accuracy	1.6901539033607154	(.f64 r (fma.f64 a (.f64 b b) b))
accuracy	2.498096189628563	(fma.f64 a (*.f64 b b) b)
accuracy	13.854522599092334	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r (fma.f64 a (.f64 b b) b))))
accuracy	14.123154084326549	#s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r (fma.f64 a (.f64 b b) b)))
accuracy	0.053066259768442016	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.053781970018659864	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
accuracy	0.1171875	(*.f64 (sin.f64 b) (sin.f64 a))
accuracy	0.12109375	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

Samples

94.0ms	98×	1	valid
46.0ms	125×	0	invalid
10.0ms	33×	0	valid

Compiler

Compiled 280 to 44 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-cos: 37.0ms (30.4% of total)

ival-mult: 25.0ms (20.6% of total)

ival-sin: 15.0ms (12.3% of total)

ival-div: 13.0ms (10.7% of total)

ival-pow: 8.0ms (6.6% of total)

ival-add: 6.0ms (4.9% of total)

adjust: 6.0ms (4.9% of total)

ival-pow2: 6.0ms (4.9% of total)

ival-sub: 2.0ms (1.6% of total)

ival-sqrt: 2.0ms (1.6% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory

-16.5MiB live, 20.5MiB allocated

Counts

23 → 636

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

Calls

159 calls:

Time	Variable		Point	Expression
10.0ms	r	@	-inf	(pow (sqrt (* (sin b) r)) 2)
1.0ms	r	@	0	(* r (+ (* a (* b b)) b))
1.0ms	r	@	-inf	(* (pow (sqrt (* (sin b) r)) 2) (/ 1 (cos (+ b a))))
0.0ms	a	@	0	(/ (neg (* (sin b) r)) (cos (+ b a)))
0.0ms	b	@	0	(/ (neg (* (sin b) r)) (cos (+ b a)))

simplify363.0ms (3.4%)

Memory

27.3MiB live, 306.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 134×	`lower-fma.f64`
10 134×	`lower-fma.f32`
8 068×	`lower-*.f64`
8 068×	`lower-*.f32`
2 566×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	436	7367
1	1437	7135
2	4675	7081
0	8800	6801

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 633

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 (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2))
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(/ (* (pow b 2) (* r (sin a))) (pow (cos a) 2))
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (pow (cos a) 2))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))
(* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))))
(* b r)
(+ (* a (* (pow b 2) r)) (* b r))
(+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* r (+ b (* a (pow b 2))))
(* r (+ b (* a (pow b 2))))
(* r (+ b (* a (pow b 2))))
(* r (+ b (* a (pow b 2))))
(* r (+ b (* a (pow b 2))))
(* r (+ b (* a (pow b 2))))
(* r (+ b (* a (pow b 2))))
(* r (+ b (* a (pow b 2))))
(* r (+ b (* a (pow b 2))))
(* r (+ b (* a (pow b 2))))
(* r (+ b (* a (pow b 2))))
(* r (+ b (* a (pow b 2))))
(* b r)
(+ (* a (* (pow b 2) r)) (* b r))
(+ (* a (* (pow b 2) r)) (* b r))
(+ (* a (* (pow b 2) r)) (* b r))
(* a (* (pow b 2) r))
(* a (+ (* (pow b 2) r) (/ (* b r) a)))
(* a (+ (* (pow b 2) r) (/ (* b r) a)))
(* a (+ (* (pow b 2) r) (/ (* b r) a)))
(* a (* (pow b 2) r))
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a)))))
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a)))))
(* -1 (* a (+ (* -1 (* (pow b 2) r)) (* -1 (/ (* b r) a)))))
(* b r)
(* b (+ r (* a (* b r))))
(* b (+ r (* a (* b r))))
(* b (+ r (* a (* b r))))
(* a (* (pow b 2) r))
(* (pow b 2) (+ (* a r) (/ r b)))
(* (pow b 2) (+ (* a r) (/ r b)))
(* (pow b 2) (+ (* a r) (/ r b)))
(* a (* (pow b 2) r))
(* (pow b 2) (+ (* a r) (/ r b)))
(* (pow b 2) (+ (* a r) (/ r b)))
(* (pow b 2) (+ (* a r) (/ r b)))
b
(+ b (* a (pow b 2)))
(+ b (* a (pow b 2)))
(+ b (* a (pow b 2)))
(* a (pow b 2))
(* a (+ (/ b a) (pow b 2)))
(* a (+ (/ b a) (pow b 2)))
(* a (+ (/ b a) (pow b 2)))
(* a (pow b 2))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2)))))
b
(* b (+ 1 (* a b)))
(* b (+ 1 (* a b)))
(* b (+ 1 (* a b)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ 1 b)))
(* (pow b 2) (+ a (/ 1 b)))
(* (pow b 2) (+ a (/ 1 b)))
(* a (pow b 2))
(* (pow b 2) (+ a (/ 1 b)))
(* (pow b 2) (+ a (/ 1 b)))
(* (pow b 2) (+ a (/ 1 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(/ (* 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))))
(* -1 (/ (* b r) (cos a)))
(* b (+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))))
(* b (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (* 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)))))))
(* b (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* 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 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (- a (* -1 b)))))
(* -1 (/ (* r (sin b)) (cos (- a (* -1 b)))))
(* -1 (/ (* r (sin b)) (cos (- a (* -1 b)))))
(* -1 (/ (* r (sin b)) (cos (- a (* -1 b)))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos b)))
(+ (* -1 (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2))) (* -1 (/ (* r (sin b)) (cos b))))
(+ (* -1 (/ (* r (sin b)) (cos b))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))))))
(+ (* -1 (/ (* r (sin b)) (cos b))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (+ (* -1/2 (/ (* r (sin b)) (cos b))) (* 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 (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (- b (* -1 a)))))
(* -1 (/ (* r (sin b)) (cos (- b (* -1 a)))))
(* -1 (/ (* r (sin b)) (cos (- b (* -1 a)))))
(* -1 (/ (* r (sin b)) (cos (- b (* -1 a)))))
(* -1 (* b r))
(* b (- (* 1/6 (* (pow b 2) r)) r))
(* b (- (* (pow b 2) (- (* -1/120 (* (pow b 2) r)) (* -1/6 r))) r))
(* b (- (* (pow b 2) (- (* (pow b 2) (- (* 1/5040 (* (pow b 2) r)) (* 1/120 r))) (* -1/6 r))) r))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* 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))
(* 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))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* -1 (* r (* (sin b) (pow (sqrt -1) 2))))
(* -1 (* r (* (sin b) (pow (sqrt -1) 2))))
(* -1 (* r (* (sin b) (pow (sqrt -1) 2))))
(* -1 (* r (* (sin b) (pow (sqrt -1) 2))))
(/ (* 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 (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* -1 (/ (* r (* (sin b) (pow (sqrt -1) 2))) (cos (+ a b))))
(* -1 (/ (* r (* (sin b) (pow (sqrt -1) 2))) (cos (+ a b))))
(* -1 (/ (* r (* (sin b) (pow (sqrt -1) 2))) (cos (+ a b))))
(* -1 (/ (* r (* (sin b) (pow (sqrt -1) 2))) (cos (+ a b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(sqrt (* b r))
(+ (sqrt (* b r)) (* -1/12 (sqrt (* (pow b 5) r))))
(+ (sqrt (* b r)) (* (pow b 3) (+ (* -1/12 (sqrt (/ r b))) (* 1/240 (sqrt (* (pow b 3) r))))))
(+ (sqrt (* b r)) (* (pow b 3) (+ (* -1/12 (sqrt (/ r b))) (* (pow b 2) (+ (* -1/288 (sqrt (/ r b))) (* 1/240 (sqrt (/ r b))))))))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(sqrt (* r (sin b)))
(* -1 (* (sqrt (* r (sin b))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* r (sin b))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* r (sin b))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* r (sin b))) (pow (sqrt -1) 2)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(* -1 (/ (* r (sin b)) (cos (+ a b))))
(/ (* 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))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* r (sin b)))
(* -1 (* 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))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ -1 (* r (sin b)))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow b 2) (pow r 2))
(* (pow b 2) (+ (* -1/3 (* (pow b 2) (pow r 2))) (pow r 2)))
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* 2/45 (* (pow b 2) (pow r 2))))) (pow r 2)))
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* (pow b 2) (+ (* -1/315 (* (pow b 2) (pow r 2))) (* 2/45 (pow r 2)))))) (pow r 2)))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 2))
(* (pow r 2) (pow (sin b) 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))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(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 a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))

Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin 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 (.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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))))
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(* 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))))
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(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ -1 (* r (sin b)))
(/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))
(/ -1 (* r (sin b)))
(/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))
(/ -1 (* r (sin b)))
(/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))
(/ -1 (* r (sin b)))
(/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* b r))
(/.f64 #s(literal 1 binary64) (*.f64 r b))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/.f64 (fma.f64 b (.f64 b (fma.f64 (/.f64 (.f64 b b) r) #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) r))) (/.f64 #s(literal 1 binary64) r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 (/.f64 (*.f64 b b) r) #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) r)) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(/ 1 (* r (sin b)))
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow b 2) (pow r 2))
(.f64 r (.f64 r (*.f64 b b)))
(* (pow b 2) (+ (* -1/3 (* (pow b 2) (pow r 2))) (pow r 2)))
(.f64 (.f64 b b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 r r)))
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* 2/45 (* (pow b 2) (pow r 2))))) (pow r 2)))
(.f64 (.f64 b b) (fma.f64 (.f64 b b) (.f64 (.f64 r r) (fma.f64 (.f64 b b) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) (*.f64 r r)))
(* (pow b 2) (+ (* (pow b 2) (+ (* -1/3 (pow r 2)) (* (pow b 2) (+ (* -1/315 (* (pow b 2) (pow r 2))) (* 2/45 (pow r 2)))))) (pow r 2)))
(.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (.f64 (.f64 r r) (fma.f64 (.f64 b b) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) (.f64 r (.f64 r #s(literal -1/3 binary64)))) (.f64 r r)))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* (pow r 2) (pow (sin b) 2))
(.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 r r))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(.f64 b (.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #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 b (.f64 b #s(literal -1/6 binary64)) #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))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (.f64 b b) (.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (.f64 (cos.f64 a) (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 b b) (*.f64 b b))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(.f64 (fma.f64 #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))
(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 (-.f64 (.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) b))) (sin.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 (cos.f64 b) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 b) a))) (neg.f64 (sin.f64 b))) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.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 (-.f64 (.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) b))) (sin.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 (cos.f64 b) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 b) a))) (neg.f64 (sin.f64 b))) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))

rewrite386.0ms (3.6%)

Memory

-1.0MiB live, 231.4MiB allocated

Rules

4 704×	`lower-*.f32`
4 686×	`lower-*.f64`
3 450×	`lower-/.f32`
3 440×	`lower-/.f64`
2 428×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	264
0	87	213
1	308	203
2	1924	199
0	8163	197

Stop Event

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

Counts

23 → 764

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

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

eval344.0ms (3.2%)

Memory: -2.9MiB live, 384.4MiB allocated
Compiler: Compiled 36 698 to 3 127 computations (91.5% saved)

prune320.0ms (3%)

Memory

15.7MiB live, 825.4MiB allocated

Pruning

118 alts after pruning (111 fresh and 7 done)

	Pruned	Kept	Total
New	1 760	49	1 809
Fresh	23	62	85
Picked	4	1	5
Done	0	6	6
Total	1 787	118	1 905

Accuracy

99.9%

Counts

1 905 → 118

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	36.2%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
	54.6%	(/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	98.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	50.7%	(/.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) r) (sqrt.f64 (sin.f64 b))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
	99.1%	(/.f64 (.f64 (.f64 (sin.f64 b) (sqrt.f64 r)) (sqrt.f64 r)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	75.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	57.2%	(/.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)))))
	62.9%	(/.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)))))
	53.8%	(/.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)))))
	53.8%	(/.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)))))
	53.7%	(/.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)))))
	98.9%	(/.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) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	54.9%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) (*.f64 (sin.f64 b) (sin.f64 a))))
	57.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 #s(approx ( (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
	58.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 #s(approx ( (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	55.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (- ( (cos b) (cos a)) (* (sin b) (sin a))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
	56.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (- ( (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b)))
	57.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (- ( (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a)))
	53.3%	(/.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)))
	76.0%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	56.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (*.f64 r (sin.f64 b))))
	56.7%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(approx (cos (+ b a)) (cos.f64 a))))
	75.7%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))))
	43.6%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sin.f64 b) r))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	27.7%	(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	25.2%	(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) r)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	32.3%	(.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 b) r)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))))
	46.5%	(.f64 (pow.f64 (sqrt.f64 (fabs.f64 (.f64 r (sin.f64 b)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	32.7%	(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 r (sin.f64 b))))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	99.3%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))) r)
	76.1%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b))
	34.4%	(.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r)
	75.8%	(.f64 (/.f64 (sqrt.f64 r) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (*.f64 (sin.f64 b) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
	75.9%	(.f64 (/.f64 (sqrt.f64 r) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (sin.f64 b) (sqrt.f64 r)) #s(literal 1 binary64)))
	27.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (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 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 (cos.f64 b) (cos.f64 a)))) r)
	86.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))) r)
✓	99.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))) r)
	63.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx ( (sin b) (sin a)) (*.f64 b (sin.f64 a)))))) r)
	58.5%	(.f64 (/.f64 (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))))) r)
	86.4%	(.f64 (/.f64 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 (cos.f64 b) (cos.f64 a))) (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 b) (cos.f64 a)))))) r)
	98.9%	(.f64 (/.f64 (sin.f64 b) (.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b 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 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) r)
	76.0%	(.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)))))
✓	76.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	54.8%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) r)
	54.3%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) r)
	57.3%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r)
	76.0%	(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	98.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	54.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))))
	56.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	70.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 r) #s(literal -1 binary64))) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	98.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
	98.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 b) (cos.f64 a)))))))
	54.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
	17.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	53.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow ( (* r (sin b)) (* r (sin b))) -1/2) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	16.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow ( (* r (sin b)) (* r (sin b))) -1/2) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	57.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (.f64 r (sin.f64 b)))
	43.6%	(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sin.f64 b) r)))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r)))))
	57.0%	(.f64 (.f64 (*.f64 (sin.f64 b) (sqrt.f64 r)) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	17.3%	(.f64 (.f64 (sqrt.f64 r) (sqrt.f64 (.f64 r (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	15.8%	(.f64 (sqrt.f64 (.f64 (.f64 r r) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	32.8%	(.f64 (exp.f64 (log.f64 (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	54.2%	(.f64 #s(approx (/ (sin b) (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))) r)
	16.4%	(.f64 #s(approx (/ 1 (pow ( (* r (sin b)) (* r (sin b))) -1/2)) (neg.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
	36.2%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	54.2%	#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
	54.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 b (cos.f64 a)) r (.f64 (.f64 (/.f64 r (cos.f64 a)) (tan.f64 a)) (*.f64 b b))))
✓	54.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
	33.0%	#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)))))
	33.0%	#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)))))
	33.2%	#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)))))
	55.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) r) (sin.f64 b))))
	56.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))
	28.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 b))) (/.f64 r (cos.f64 b))))
	56.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
	24.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 r (cos.f64 b))))
✓	56.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	34.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	37.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))))
	56.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r)))
	40.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (sin.f64 b) (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 b) r)) #s(literal -1 binary64)))))
	54.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
	53.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 b (fma.f64 b (/.f64 (.f64 r (sin.f64 a)) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a)))))
	31.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 b #s(approx (+ ( b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
	27.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 b #s(approx (+ ( b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 a (*.f64 r (fma.f64 a #s(literal 1/2 binary64) b)) r))))
	34.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
	28.9%	#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))))
✓	34.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
	34.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (sin b) (/ r (cos b))) (.f64 b (fma.f64 b (.f64 b (*.f64 r #s(literal 1/3 binary64))) r))))
	32.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 (.f64 b a) (.f64 r b) (*.f64 r b))))
	12.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (.f64 (.f64 r (.f64 b (.f64 b a))) (.f64 r (.f64 b (.f64 b a)))) (.f64 (.f64 r b) (.f64 r b))) (-.f64 (.f64 r (.f64 b (.f64 b a))) (.f64 r b)))))
	20.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (.f64 (.f64 (fma.f64 b (.f64 b a) b) (fma.f64 b (.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
	22.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r (/.f64 (-.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 a (.f64 b (.f64 b a))))) (-.f64 b (.f64 b (*.f64 b a)))))))
	11.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r #s(approx (+ ( a (* b b)) b) (.f64 b (.f64 b a))))))
	31.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r #s(approx (+ ( a (* b b)) b) (*.f64 a (fma.f64 b b (/.f64 b a)))))))
	21.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* a (* b b)) b)) (.f64 (.f64 b b) (fma.f64 r a (/.f64 r b))))))
	12.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* a (* b b)) b)) (.f64 a (.f64 r (*.f64 b b))))))
	4.9%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 r r) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (+.f64 #s(literal 0 binary64) (.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a))))
	29.4%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64))) (cos.f64 (+.f64 b a))))
	11.3%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) #s(literal 2 binary64))) (cos.f64 (+.f64 b a))))
	11.3%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 r (sin.f64 b)))))) (cos.f64 (+.f64 b a))))
	14.1%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 (.f64 (.f64 (sin.f64 b) (sqrt.f64 r)) (sqrt.f64 r))) (cos.f64 (+.f64 b a))))
	25.5%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) r)) (cos.f64 (+.f64 b a))))
	25.5%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 (.f64 (sqrt.f64 r) (sqrt.f64 (.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))))) (cos.f64 (+.f64 b a))))
	16.7%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) #s(approx (cos (+ b a)) (cos.f64 b))))
	16.4%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) #s(approx (cos (+ b a)) (cos.f64 a))))
	11.3%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b))))) (cos.f64 (+.f64 b a))))
	12.4%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 #s(approx (* (sin b) r) (*.f64 r b))) (cos.f64 (+.f64 b a))))
	14.1%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (*.f64 (sin.f64 b) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))))
	14.1%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
	14.1%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	6.6%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (neg.f64 (sin.f64 b))))) #s(literal -1 binary64))))
	12.4%	#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) #s(approx (/ (neg (* (sin b) r)) (cos (+ b a))) (/.f64 (*.f64 r (neg.f64 b)) (cos.f64 a))))

Compiler

Compiled 6 064 to 2 084 computations (65.6% saved)

regimes242.0ms (2.3%)

Memory

-24.3MiB live, 578.2MiB allocated

Counts

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

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:

63.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
56.0ms	b
56.0ms	r
55.0ms	a

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)

regimes217.0ms (2%)

Memory

-10.2MiB live, 587.6MiB allocated

Counts

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

Calls

4 calls:

53.0ms	r
50.0ms	b
48.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
48.0ms	a

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)

regimes206.0ms (1.9%)

Memory

14.9MiB live, 368.4MiB allocated

Counts

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

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

Calls

4 calls:

52.0ms	a
50.0ms	r
49.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
46.0ms	b

Results

Accuracy	Segments	Branch
76.2%	1	`r`
76.2%	1	`a`
76.2%	1	`b`
76.2%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes72.0ms (0.7%)

Memory

5.4MiB live, 88.6MiB allocated

Counts

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

21.0ms	r
20.0ms	a
14.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
14.0ms	b

Results

Accuracy	Segments	Branch
76.2%	1	`a`
76.2%	1	`b`
76.2%	1	`r`
76.2%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes70.0ms (0.6%)

Memory

15.1MiB live, 87.1MiB allocated

Counts

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

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

Calls

4 calls:

20.0ms	b
19.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
14.0ms	r
14.0ms	a

Results

Accuracy	Segments	Branch
76.2%	3	`a`
75.8%	3	`b`
64.1%	2	`r`
61.6%	3	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes21.0ms (0.2%)

Memory

-31.3MiB live, 17.4MiB allocated

Counts

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
76.2%	3	`a`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.3%)

Memory

9.6MiB live, 47.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

15.0ms	b
11.0ms	a

Results

Accuracy	Segments	Branch
75.8%	3	`b`
74.3%	3	`a`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-6.6MiB live, 31.6MiB 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 (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* a (* b b)) b)) (.f64 a (.f64 r (*.f64 b b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r #s(approx (+ ( a (* b b)) b) (.f64 b (.f64 b a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r (fma.f64 a (.f64 b b) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 b #s(approx (+ ( b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 r (*.f64 b a) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (fma.f64 (.f64 b a) (.f64 r b) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (sin b) (/ r (cos b))) (.f64 b (fma.f64 b (.f64 b (*.f64 r #s(literal 1/3 binary64))) 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))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 b #s(approx (+ ( b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a))) (fma.f64 a (*.f64 r (fma.f64 a #s(literal 1/2 binary64) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) #s(approx (* r (+ (* a (* b b)) b)) (.f64 (.f64 b b) (fma.f64 r a (/.f64 r b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r #s(approx (+ ( a (* b b)) b) (*.f64 a (fma.f64 b b (/.f64 b a)))))))
#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))) (/.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))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (.f64 (.f64 (fma.f64 b (.f64 b a) b) (fma.f64 b (.f64 b a) (neg.f64 b))) r) (fma.f64 b (*.f64 b a) (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (.f64 r (/.f64 (-.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 a (.f64 b (.f64 b a))))) (-.f64 b (.f64 b (*.f64 b a)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* b (+ (* b (/ (* r (sin a)) (pow (cos a) 2))) (/ r (cos a)))) (/.f64 (-.f64 (.f64 (.f64 r (.f64 b (.f64 b a))) (.f64 r (.f64 b (.f64 b a)))) (.f64 (.f64 r b) (.f64 r b))) (-.f64 (.f64 r (.f64 b (.f64 b a))) (.f64 r b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r)
(.f64 #s(approx (/ (sin b) (+ ( (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a))) r)
#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) #s(approx (/ (neg (* (sin b) r)) (cos (+ b a))) (/.f64 (*.f64 r (neg.f64 b)) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (* (/ 1 (pow (* (* r (sin b)) (* r (sin b))) -1/2)) (/ 1 (cos (+ b a)))) (/.f64 (neg.f64 #s(approx (* (sin b) r) (*.f64 r b))) (cos.f64 (+.f64 b a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(.f64 #s(approx (/ 1 (/ 1 ( r (sin b)))) (*.f64 r b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(.f64 (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a))) r)
(/.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 #s(approx (/ 1 (/ 1 ( r (sin b)))) (.f64 b (fma.f64 r (.f64 b (*.f64 b #s(literal -1/6 binary64))) r))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx ( r (sin b)) (*.f64 r b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow ( (* r (sin b)) (* r (sin b))) -1/2) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( r (sin b))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow ( (* r (sin b)) (* r (sin b))) -1/2) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
75.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.3%)

Memory

22.0MiB live, 59.8MiB allocated

Counts

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

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

Calls

4 calls:

8.0ms	a
6.0ms	b
6.0ms	r
6.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
56.2%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
56.2%	1	`r`
56.2%	1	`a`
56.2%	1	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes26.0ms (0.2%)

Memory

2.0MiB live, 48.3MiB allocated

Accuracy

Total -21.1b remaining (-50.6%)

Threshold costs -21.1b (-50.6%)

Counts

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

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

Calls

4 calls:

8.0ms	a
5.0ms	b
5.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms	r

Results

Accuracy	Segments	Branch
34.7%	1	`r`
34.7%	1	`b`
34.7%	1	`a`
34.7%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch34.0ms (0.3%)

Memory

-12.2MiB live, 63.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4700.247877040096	60475.715417627056
16.0ms	-0.0007189828346258939	-0.00017114921334654963

Samples

13.0ms	80×	1	valid
12.0ms	112×	0	valid

Compiler

Compiled 267 to 182 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 6.0ms (32% of total)

ival-cos: 5.0ms (26.6% of total)

ival-add: 3.0ms (16% of total)

ival-div: 1.0ms (5.3% of total)

adjust: 1.0ms (5.3% of total)

ival-mult: 1.0ms (5.3% of total)

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

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

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4700.247877040096	60475.715417627056
0.0ms	-0.0007189828346258939	-0.00017114921334654963

Compiler

Compiled 267 to 182 computations (31.8% saved)

bsearch51.0ms (0.5%)

Memory

-2.7MiB live, 90.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	7.623014010012439	4170098.071277462
22.0ms	-3962076.3970495462	-1.6871703379614472e-10

Samples

23.0ms	150×	1	valid
14.0ms	154×	0	valid

Compiler

Compiled 425 to 281 computations (33.9% saved)

Precisions

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

ival-cos: 9.0ms (33.9% of total)

ival-sin: 7.0ms (26.4% of total)

ival-add: 4.0ms (15.1% of total)

adjust: 3.0ms (11.3% of total)

ival-div: 2.0ms (7.5% of total)

ival-mult: 2.0ms (7.5% of total)

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

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.623014010012439	4170098.071277462
1.0ms	-3962076.3970495462	-1.6871703379614472e-10

Compiler

Compiled 395 to 261 computations (33.9% saved)

simplify10.0ms (0.1%)

Memory

-21.1MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	283
1	79	283
2	88	283
3	93	283
4	95	283

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 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(if (<=.f64 a #s(literal -7378697629483821/36893488147419103232 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 4800 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (tan.f64 b) r)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))))
(if (<=.f64 a #s(literal -7378697629483821/36893488147419103232 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 4800 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (tan.f64 b) r)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)))
(if (<=.f64 b #s(literal -8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 8669429282688205/1125899906842624 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) (cos.f64 a))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))))
(if (<=.f64 b #s(literal -8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (tan.f64 b) r)) (if (<=.f64 b #s(literal 8669429282688205/1125899906842624 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) (cos.f64 a))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#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 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))) r)
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.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 a #s(literal -7378697629483821/36893488147419103232 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 4800 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (tan.f64 b) r)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))))
(if (<=.f64 a #s(literal -7378697629483821/36893488147419103232 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a)))) (if (<=.f64 a #s(literal 4800 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 r (tan.f64 b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))))
(if (<=.f64 a #s(literal -7378697629483821/36893488147419103232 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 4800 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (tan.f64 b) r)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r)))
(if (<=.f64 a #s(literal -7378697629483821/36893488147419103232 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a)))) (if (<=.f64 a #s(literal 4800 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 r (tan.f64 b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))))))
(if (<=.f64 b #s(literal -8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 8669429282688205/1125899906842624 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) (cos.f64 a))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))))
(if (<=.f64 b #s(literal -8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 8669429282688205/1125899906842624 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) (cos.f64 a))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 b #s(literal -8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (tan.f64 b) r)) (if (<=.f64 b #s(literal 8669429282688205/1125899906842624 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) (cos.f64 a))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))))
(if (<=.f64 b #s(literal -8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 8669429282688205/1125899906842624 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) (cos.f64 a))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

soundness767.0ms (7.1%)

Memory

13.9MiB live, 367.9MiB allocated

Rules

10 934×	`lower-fma.f64`
10 934×	`lower-fma.f32`
7 824×	`lower-*.f64`
7 824×	`lower-*.f32`
7 134×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	200
0	64	149
1	235	141
2	1371	135
0	8464	135
0	167	960
1	517	928
2	1595	886
3	5409	885
0	8292	853
0	431	6731
1	1399	6523
2	4541	6466
0	8271	6209
0	37	186
0	64	162
1	229	162
2	1488	154
0	8410	154
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×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 555 to 264 computations (52.4% saved)

preprocess141.0ms (1.3%)

Memory: 9.7MiB live, 87.5MiB allocated
Remove: (negabs r)
Compiler: Compiled 562 to 224 computations (60.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze301.0ms (2.8%)

sample1.8s (16.5%)

explain352.0ms (3.3%)

preprocess112.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize62.0ms (0.6%)

series11.0ms (0.1%)

simplify256.0ms (2.4%)

rewrite312.0ms (2.9%)

eval30.0ms (0.3%)

prune74.0ms (0.7%)

simplify156.0ms (1.5%)

localize242.0ms (2.3%)

series65.0ms (0.6%)

simplify299.0ms (2.8%)

rewrite429.0ms (4%)

eval378.0ms (3.5%)

prune377.0ms (3.5%)

simplify296.0ms (2.8%)

localize248.0ms (2.3%)

series27.0ms (0.2%)

simplify256.0ms (2.4%)

rewrite230.0ms (2.1%)

eval315.0ms (2.9%)

prune281.0ms (2.6%)

simplify197.0ms (1.8%)

localize274.0ms (2.6%)

series30.0ms (0.3%)

simplify363.0ms (3.4%)

rewrite386.0ms (3.6%)

eval344.0ms (3.2%)

prune320.0ms (3%)

regimes242.0ms (2.3%)

regimes217.0ms (2%)

regimes206.0ms (1.9%)

regimes72.0ms (0.7%)

regimes70.0ms (0.6%)

regimes21.0ms (0.2%)

regimes28.0ms (0.3%)

regimes15.0ms (0.1%)

regimes27.0ms (0.3%)

regimes26.0ms (0.2%)

bsearch34.0ms (0.3%)

bsearch1.0ms (0%)

bsearch51.0ms (0.5%)

bsearch1.0ms (0%)

simplify10.0ms (0.1%)

soundness767.0ms (7.1%)

preprocess141.0ms (1.3%)

end0.0ms (0%)

Profiling