Metrics for rsin A (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze315.0ms (2.7%)

Memory

11.2MiB live, 249.4MiB 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)

sample2.9s (24.7%)

Memory

-81.6MiB live, 1 854.4MiB allocated

Samples

2.4s	5 864×	1	valid
194.0ms	2 392×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-add: 709.0ms (35.1% of total)

ival-cos: 489.0ms (24.2% of total)

ival-div: 359.0ms (17.7% of total)

ival-sin: 232.0ms (11.5% of total)

adjust: 169.0ms (8.4% of total)

ival-mult: 56.0ms (2.8% of total)

ival-true: 6.0ms (0.3% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain154.0ms (1.3%)

Memory

5.6MiB live, 168.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
72	114	(3.182159005705254e+154 1.5536784453926944e+114 1.5411178924762219e-120)	-	`(cos.f64 (+.f64 a b))`
0	0	-	-	`(+.f64 a b)`
0	0	-	-	`(sin.f64 b)`
0	0	-	-	`a`
0	0	-	-	`(*.f64 r (sin.f64 b))`
0	0	-	-	`r`
0	0	-	-	`b`
0	0	-	-	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (+.f64 a b))`	sensitivity	186	0

Confusion

	Predicted +	Predicted -
+	72	0
-	114	70

Precision

0.3870967741935484

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	114	0	70

Precision?

0.3870967741935484

Recall?

1.0

Freqs

test

number	freq
0	70
1	186

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

93.0ms	354×	1	valid
11.0ms	158×	0	valid

Compiler

Compiled 66 to 28 computations (57.6% saved)

Precisions

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

ival-add: 33.0ms (40% of total)

ival-cos: 18.0ms (21.8% of total)

adjust: 12.0ms (14.5% of total)

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

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

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

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

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

preprocess145.0ms (1.2%)

Memory

-23.8MiB live, 56.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs r)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.4%)

Memory

9.1MiB live, 79.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 b)
accuracy	0.109375	(*.f64 r (sin.f64 b))
accuracy	0.20703125	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy	15.37801931141456	(cos.f64 (+.f64 a b))

Samples

28.0ms	177×	1	valid
10.0ms	79×	0	valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

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

ival-sin: 11.0ms (40.1% of total)

ival-cos: 7.0ms (25.5% of total)

adjust: 3.0ms (10.9% of total)

ival-add: 2.0ms (7.3% of total)

ival-div: 2.0ms (7.3% of total)

ival-mult: 2.0ms (7.3% of total)

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

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

series17.0ms (0.1%)

Memory

-5.6MiB live, 32.0MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify182.0ms (1.6%)

Memory

22.6MiB live, 225.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite149.0ms (1.3%)

Memory

-2.7MiB live, 256.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 138

Calls

Call 1

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

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

eval81.0ms (0.7%)

Memory: -10.8MiB live, 106.7MiB allocated
Compiler: Compiled 3 827 to 515 computations (86.5% saved)

prune55.0ms (0.5%)

Memory

26.4MiB live, 144.9MiB allocated

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	203	30	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	204	30	234

Accuracy

99.9%

Counts

234 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))
▶	75.9%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
▶	75.8%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
	99.6%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	75.8%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal -1 binary64))))
	60.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
	61.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
	51.8%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	61.5%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	63.1%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	54.4%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	50.2%	(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
	50.0%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	50.5%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	75.8%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	75.3%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	75.2%	(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
	75.7%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
	75.8%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	75.8%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	78.5%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
▶	75.8%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	75.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	75.8%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	33.0%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	60.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)))
	63.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
▶	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))

Compiler

Compiled 1 174 to 706 computations (39.9% saved)

simplify102.0ms (0.9%)

Memory

-18.7MiB live, 134.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3 348×	`lower-*.f32`
3 338×	`lower-*.f64`
2 602×	`lower-fma.f32`
2 600×	`lower-fma.f64`
2 274×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	219
0	58	191
1	90	191
2	158	191
3	342	191
4	930	191
5	2284	191
6	2582	191
7	2954	191
8	3848	191
9	6416	191
0	8230	191

Stop Event

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

Calls

Call 1

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

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

localize257.0ms (2.2%)

Memory

34.6MiB live, 389.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3203125	(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
accuracy	0.32259750976844204	(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))
accuracy	15.099615960957722	(cos.f64 (-.f64 b a))
accuracy	15.37801931141456	(cos.f64 (+.f64 a b))
accuracy	0.17578125	(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
accuracy	0.20703125	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
accuracy	0.2578125	(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
accuracy	15.37801931141456	(cos.f64 (+.f64 a b))
accuracy	0	(sin.f64 b)
accuracy	0.16015625	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
accuracy	0.21875	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	15.37801931141456	(cos.f64 (+.f64 a b))
accuracy	0	(cos.f64 a)
accuracy	0.09375	(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy	0.109375	(/.f64 r (cos.f64 a))
accuracy	31.75194496368582	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy	0.0703125	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.09507753907376808	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.109375	(*.f64 r (sin.f64 b))
accuracy	0.20703125	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

204.0ms	174×	1	valid
19.0ms	82×	0	valid

Compiler

Compiled 216 to 32 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-div: 78.0ms (40.5% of total)

ival-cos: 36.0ms (18.7% of total)

ival-add: 23.0ms (11.9% of total)

ival-sin: 20.0ms (10.4% of total)

ival-mult: 14.0ms (7.3% of total)

adjust: 9.0ms (4.7% of total)

ival-pow: 9.0ms (4.7% of total)

ival-sub: 2.0ms (1% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series89.0ms (0.8%)

Memory

-1.9MiB live, 116.0MiB allocated

Counts

19 → 504

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	a	@	inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (pow (cos (+ a b)) -1)) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (cos b) (cos a)) (pow (cos (+ a b)) -1) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
20.0ms	b	@	-inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (pow (cos (+ a b)) -1)) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (cos b) (cos a)) (pow (cos (+ a b)) -1) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
7.0ms	a	@	-inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (pow (cos (+ a b)) -1)) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (cos b) (cos a)) (pow (cos (+ a b)) -1) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
5.0ms	a	@	0	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (pow (cos (+ a b)) -1)) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (cos b) (cos a)) (pow (cos (+ a b)) -1) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
4.0ms	r	@	-inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (pow (cos (+ a b)) -1)) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (* (cos b) (cos a)) (pow (cos (+ a b)) -1) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))

simplify206.0ms (1.8%)

Memory

-4.5MiB live, 222.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 948×	`lower-fma.f64`
8 948×	`lower-fma.f32`
7 224×	`lower-*.f64`
7 224×	`lower-*.f32`
2 148×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	490	6160
1	1586	5812
2	5210	5695
0	8277	5492

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 502

Calls

Call 1

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

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

rewrite305.0ms (2.6%)

Memory

-38.7MiB live, 359.4MiB allocated

Rules

3 992×	`lower-/.f32`
3 982×	`lower-/.f64`
3 964×	`lower-*.f32`
3 954×	`lower-*.f64`
3 610×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	159
0	58	173
1	197	117
2	1234	117
0	8593	117

Stop Event

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

Counts

19 → 1 121

Calls

Call 1

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

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

eval313.0ms (2.7%)

Memory: 39.9MiB live, 697.4MiB allocated
Compiler: Compiled 51 304 to 2 992 computations (94.2% saved)

prune296.0ms (2.5%)

Memory

-17.1MiB live, 557.2MiB allocated

Pruning

66 alts after pruning (64 fresh and 2 done)

	Pruned	Kept	Total
New	2 070	55	2 125
Fresh	16	9	25
Picked	3	2	5
Done	0	0	0
Total	2 089	66	2 155

Accuracy

100.0%

Counts

2 155 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.0%	(fma.f64 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 a) (sin.f64 b))))
✓	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	61.0%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
	61.0%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	64.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
	55.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
	55.2%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	48.6%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
	48.6%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))
	99.5%	(/.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 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))))
	62.9%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))
▶	53.9%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))
	54.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a))) (cos.f64 (-.f64 b a))))
	64.0%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
	56.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #s(literal -1 binary64))))
	55.1%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
	63.1%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
	54.4%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
▶	99.6%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	99.4%	(/.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 a) (sin.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))))
	61.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
	51.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	63.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
	54.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))
	50.0%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	50.5%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	75.8%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	75.3%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	75.8%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	75.7%	(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
▶	75.8%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) r)
	99.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
	76.2%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
	99.6%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) r)
	55.2%	(*.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) r)
	75.8%	(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r)
	99.5%	(.f64 (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))) r)
	75.8%	(.f64 (/.f64 (sin.f64 b) (.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b))))) r)
	48.6%	(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
	60.9%	(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) r)
	61.5%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
	63.1%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
▶	54.4%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	75.7%	(.f64 (/.f64 r (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b)))))
	75.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	75.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r)
	75.8%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	50.3%	(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
	33.0%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	63.1%	#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	49.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
	49.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
✓	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
	28.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
	29.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
▶	37.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 517 to 1 502 computations (40.3% saved)

simplify159.0ms (1.4%)

Memory

23.0MiB live, 98.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	384	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))
cost-diff	0	(pow.f64 (sin.f64 b) #s(literal -1 binary64))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) r)
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
cost-diff	0	#s(approx (cos (+ a b)) (cos.f64 a))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))
cost-diff	0	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
cost-diff	0	(*.f64 b r)
cost-diff	0	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
cost-diff	0	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	6336	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))

Rules

5 274×	`lower-fma.f64`
5 274×	`lower-fma.f32`
3 398×	`lower-*.f32`
3 384×	`lower-*.f64`
1 962×	`lower-/.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	42	251
0	66	247
1	103	239
2	169	239
3	377	239
4	995	239
5	1948	239
6	2272	239
7	2862	236
8	3559	236
9	5682	236
0	8024	236

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

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

localize195.0ms (1.7%)

Memory

6.1MiB live, 318.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.32259750976844204	(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a)))
accuracy	15.099615960957722	(cos.f64 (-.f64 b a))
accuracy	15.37801931141456	(cos.f64 (+.f64 a b))
accuracy	29.404042212833684	#s(approx (cos (- b a)) (cos.f64 a))
accuracy	0.16015625	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) r)
accuracy	0.21875	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b)))
accuracy	0.26171875	(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
accuracy	15.37801931141456	(cos.f64 (+.f64 a b))
accuracy	0	(cos.f64 a)
accuracy	0.16015625	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
accuracy	0.21875	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))
accuracy	29.2890713339968	#s(approx (cos (+ a b)) (cos.f64 a))
accuracy	0	(*.f64 b r)
accuracy	21.816233591346773	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy	31.75194496368582	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy	0.09832001953688403	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
accuracy	0.109375	(*.f64 r (sin.f64 b))
accuracy	0.20703125	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
accuracy	0.221035009768442	(*.f64 (sin.f64 a) (sin.f64 b))

Samples

120.0ms	174×	1	valid
27.0ms	82×	0	valid

Compiler

Compiled 220 to 33 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-cos: 31.0ms (27.5% of total)

ival-mult: 19.0ms (16.9% of total)

ival-div: 16.0ms (14.2% of total)

ival-sin: 16.0ms (14.2% of total)

ival-pow: 12.0ms (10.6% of total)

adjust: 11.0ms (9.8% of total)

ival-sub: 4.0ms (3.5% of total)

ival-add: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series91.0ms (0.8%)

Memory

-21.9MiB live, 99.4MiB allocated

Counts

21 → 528

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	b	@	-inf	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (pow (sin b) -1)) (* (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) r) (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (pow (sin b) -1) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* (sin a) (sin b)) (cos a) (cos (+ a b)) (cos (- b a)) (cos (- b a)))
9.0ms	a	@	0	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (pow (sin b) -1)) (* (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) r) (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (pow (sin b) -1) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* (sin a) (sin b)) (cos a) (cos (+ a b)) (cos (- b a)) (cos (- b a)))
4.0ms	r	@	-inf	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (pow (sin b) -1)) (* (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) r) (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (pow (sin b) -1) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* (sin a) (sin b)) (cos a) (cos (+ a b)) (cos (- b a)) (cos (- b a)))
4.0ms	r	@	inf	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (pow (sin b) -1)) (* (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) r) (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (pow (sin b) -1) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* (sin a) (sin b)) (cos a) (cos (+ a b)) (cos (- b a)) (cos (- b a)))
3.0ms	b	@	inf	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (/ 1 (pow (sin b) -1)) (* (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) r) (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (pow (sin b) -1) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* (sin a) (sin b)) (cos a) (cos (+ a b)) (cos (- b a)) (cos (- b a)))

simplify253.0ms (2.2%)

Memory

28.6MiB live, 250.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 186×	`lower-fma.f64`
9 186×	`lower-fma.f32`
7 550×	`lower-*.f64`
7 550×	`lower-*.f32`
3 360×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	6046
1	1163	5819
2	3688	5746
0	8616	5522

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 526

Calls

Call 1

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

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

rewrite207.0ms (1.8%)

Memory

18.8MiB live, 315.2MiB allocated

Rules

4 990×	`lower-/.f32`
4 978×	`lower-/.f64`
4 316×	`lower-*.f32`
4 302×	`lower-*.f64`
2 450×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	190
0	66	166
1	215	164
2	1317	164
0	8432	164

Stop Event

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

Counts

21 → 646

Calls

Call 1

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

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

eval239.0ms (2%)

Memory: -2.8MiB live, 564.8MiB allocated
Compiler: Compiled 31 538 to 2 659 computations (91.6% saved)

prune296.0ms (2.5%)

Memory

-21.7MiB live, 646.3MiB allocated

Pruning

75 alts after pruning (70 fresh and 5 done)

	Pruned	Kept	Total
New	1 455	30	1 485
Fresh	19	40	59
Picked	2	3	5
Done	0	2	2
Total	1 476	75	1 551

Accuracy

100.0%

Counts

1 551 → 75

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
	98.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 r))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
	54.4%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
✓	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	61.0%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	64.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
	55.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
	48.6%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))
	99.5%	(/.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 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))))
	85.8%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))
	54.3%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (.f64 #s(approx (cos (- b a)) (cos.f64 a)) #s(literal 2 binary64))))
	41.2%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) #s(approx (cos a) #s(literal 1 binary64)))))
	64.0%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
▶	56.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #s(literal -1 binary64))))
	63.1%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
	54.4%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
	50.6%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
	50.6%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)))))
▶	99.6%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))))
✓	99.6%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	64.1%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))))
	69.2%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 a (sin.f64 b)))))
	61.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
	51.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	63.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
	50.0%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	50.5%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	75.8%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	75.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
	53.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) r))
	75.3%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	53.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
	75.8%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	41.7%	(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) r)
	29.1%	(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	26.2%	(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	41.7%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cos.f64 (+.f64 a b))) r)
	85.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) r)
	75.8%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) r)
▶	50.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
	50.9%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
	50.4%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))) (cos.f64 (+.f64 a b))) r)
	54.3%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	99.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
	99.6%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) r)
▶	75.8%	(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r)
	75.8%	(.f64 (/.f64 (sin.f64 b) (.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b))))) r)
	48.6%	(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
	61.5%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
	63.1%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
✓	54.4%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	38.4%	(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r)
	41.9%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)
	75.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	54.4%	(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
	75.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) r)
	75.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r)
	75.7%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) r)
	75.8%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	50.3%	(*.f64 #s(approx (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
	63.1%	#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	49.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
✓	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
	28.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
▶	29.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
✓	37.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 675 to 1 647 computations (38.4% saved)

simplify101.0ms (0.9%)

Memory

-24.1MiB live, 90.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	384	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
cost-diff	0	(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r)
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
cost-diff	0	#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
cost-diff	320	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
cost-diff	0	(fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)
cost-diff	0	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
cost-diff	0	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
cost-diff	0	(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 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))

Rules

2 866×	`lower-fma.f32`
2 858×	`lower-fma.f64`
2 430×	`lower-*.f32`
2 412×	`lower-*.f64`
1 706×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	457
0	99	439
1	158	429
2	293	427
3	680	427
4	1553	427
5	3117	427
6	5397	427
7	7490	427
0	8042	427

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

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

localize290.0ms (2.5%)

Memory

-0.9MiB live, 359.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(pow.f64 (cos.f64 a) #s(literal 2 binary64))
accuracy	0.32259750976844204	(/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
accuracy	15.099615960957722	(cos.f64 (-.f64 b a))
accuracy	27.233129847267836	#s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
accuracy	0.17578125	(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))
accuracy	0.21875	(/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
accuracy	0.2578125	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
accuracy	15.37801931141456	(cos.f64 (+.f64 a b))
accuracy	0.26171875	(/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)))
accuracy	0.9303118557925623	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
accuracy	15.37801931141456	(cos.f64 (+.f64 a b))
accuracy	31.96997519454095	#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
accuracy	0.09375	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
accuracy	7.92912784959957	(.f64 (.f64 a a) r)
accuracy	29.815385860557765	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
accuracy	31.75194496368582	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
accuracy	0.109375	(*.f64 r (sin.f64 b))
accuracy	0.20703125	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))))
accuracy	0.221035009768442	(*.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
accuracy	0.26171875	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))

Samples

207.0ms	174×	1	valid
32.0ms	82×	0	valid

Compiler

Compiled 344 to 54 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-mult: 56.0ms (28.6% of total)

ival-cos: 31.0ms (15.8% of total)

ival-div: 30.0ms (15.3% of total)

ival-sin: 30.0ms (15.3% of total)

adjust: 13.0ms (6.6% of total)

const: 11.0ms (5.6% of total)

ival-add: 8.0ms (4.1% of total)

ival-pow: 6.0ms (3.1% of total)

ival-pow2: 5.0ms (2.6% of total)

ival-sub: 4.0ms (2% of total)

exact: 1.0ms (0.5% of total)

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

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

series58.0ms (0.5%)

Memory

30.3MiB live, 105.8MiB allocated

Counts

25 → 600

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))) #<representation binary64>) () ())
#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) (patch (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) #<representation binary64>) () ())
#s(alt #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) (patch #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) (patch (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r) (patch (.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) (patch (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #<representation binary64>) () ())
#s(alt #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) (patch #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r) (patch (.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) (patch (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) (patch (/.f64 #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 a a) r) (patch (.f64 (.f64 a a) r) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (patch #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) #<representation binary64>) () ())) ())
#s(alt (* b r) (taylor 0 a) (#s(alt (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) (patch (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) (taylor 0 a) (#s(alt (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) (patch (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) (taylor 0 a) (#s(alt (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) (patch (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) (taylor 0 a) (#s(alt (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) (patch (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) #<representation binary64>) () ())) ())
#s(alt r (taylor 0 a) (#s(alt #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) (patch #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) #<representation binary64>) () ())) ())
#s(alt (+ r (* 1/2 (* (pow a 2) r))) (taylor 0 a) (#s(alt #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) (patch #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) #<representation binary64>) () ())) ())
#s(alt (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) (taylor 0 a) (#s(alt #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) (patch #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) #<representation binary64>) () ())) ())
#s(alt (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) (taylor 0 a) (#s(alt #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) (patch #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) #<representation binary64>) () ())) ())
#s(alt r (taylor 0 a) (#s(alt (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) (patch (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) #<representation binary64>) () ())) ())
#s(alt (+ r (* 1/2 (* (pow a 2) r))) (taylor 0 a) (#s(alt (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) (patch (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) #<representation binary64>) () ())) ())
#s(alt (+ r (* 1/2 (* (pow a 2) r))) (taylor 0 a) (#s(alt (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) (patch (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) #<representation binary64>) () ())) ())
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#s(alt (/ (* b r) (cos a)) (taylor -inf r) (#s(alt (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) (patch (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf r) (#s(alt (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) (patch (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf r) (#s(alt #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) (patch #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf r) (#s(alt #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) (patch #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf r) (#s(alt #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) (patch #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf r) (#s(alt #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) (patch #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* r (- (* -1/2 (pow a 2)) 1))) (taylor -inf r) (#s(alt (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) (patch (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) #<representation binary64>) () ())) ())
#s(alt (* -1 (* r (- (* -1/2 (pow a 2)) 1))) (taylor -inf r) (#s(alt (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) (patch (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) #<representation binary64>) () ())) ())
#s(alt (* -1 (* r (- (* -1/2 (pow a 2)) 1))) (taylor -inf r) (#s(alt (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) (patch (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) #<representation binary64>) () ())) ())
#s(alt (* -1 (* r (- (* -1/2 (pow a 2)) 1))) (taylor -inf r) (#s(alt (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) (patch (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r) (patch (.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r) (patch (.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r) (patch (.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r) (patch (.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r) (patch (.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r) (patch (.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r) (patch (.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r) (patch (.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf r) (#s(alt (.f64 (.f64 a a) r) (patch (.f64 (.f64 a a) r) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf r) (#s(alt (.f64 (.f64 a a) r) (patch (.f64 (.f64 a a) r) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf r) (#s(alt (.f64 (.f64 a a) r) (patch (.f64 (.f64 a a) r) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) r) (taylor -inf r) (#s(alt (.f64 (.f64 a a) r) (patch (.f64 (.f64 a a) r) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	r	@	0	((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (/ -1 (/ -1 (sin b)))))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) r) (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/ 1 (pow (sin b) -1)) (pow (sin b) -1) (/ -1 (/ -1 (cos (+ a b)))) (* (/ (sin b) (/ -1 (/ -1 (cos (+ a b))))) r) (/ (sin b) (/ -1 (/ -1 (cos (+ a b))))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* (sin a) (/ -1 (/ -1 (sin b)))) (* (* a a) r) (cos (+ a b)) (/ (+ (* (+ (* (+ (* 31/15120 (* b b)) 7/360) (* b b)) 1/6) (* b b)) 1) b) (/ -1 (cos (+ a b))) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2))
5.0ms	r	@	-inf	((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (/ -1 (/ -1 (sin b)))))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) r) (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/ 1 (pow (sin b) -1)) (pow (sin b) -1) (/ -1 (/ -1 (cos (+ a b)))) (* (/ (sin b) (/ -1 (/ -1 (cos (+ a b))))) r) (/ (sin b) (/ -1 (/ -1 (cos (+ a b))))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* (sin a) (/ -1 (/ -1 (sin b)))) (* (* a a) r) (cos (+ a b)) (/ (+ (* (+ (* (+ (* 31/15120 (* b b)) 7/360) (* b b)) 1/6) (* b b)) 1) b) (/ -1 (cos (+ a b))) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2))
4.0ms	r	@	inf	((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (/ -1 (/ -1 (sin b)))))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) r) (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/ 1 (pow (sin b) -1)) (pow (sin b) -1) (/ -1 (/ -1 (cos (+ a b)))) (* (/ (sin b) (/ -1 (/ -1 (cos (+ a b))))) r) (/ (sin b) (/ -1 (/ -1 (cos (+ a b))))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* (sin a) (/ -1 (/ -1 (sin b)))) (* (* a a) r) (cos (+ a b)) (/ (+ (* (+ (* (+ (* 31/15120 (* b b)) 7/360) (* b b)) 1/6) (* b b)) 1) b) (/ -1 (cos (+ a b))) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2))
4.0ms	a	@	inf	((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (/ -1 (/ -1 (sin b)))))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) r) (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/ 1 (pow (sin b) -1)) (pow (sin b) -1) (/ -1 (/ -1 (cos (+ a b)))) (* (/ (sin b) (/ -1 (/ -1 (cos (+ a b))))) r) (/ (sin b) (/ -1 (/ -1 (cos (+ a b))))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* (sin a) (/ -1 (/ -1 (sin b)))) (* (* a a) r) (cos (+ a b)) (/ (+ (* (+ (* (+ (* 31/15120 (* b b)) 7/360) (* b b)) 1/6) (* b b)) 1) b) (/ -1 (cos (+ a b))) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2))
3.0ms	b	@	-inf	((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (/ -1 (/ -1 (sin b)))))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) r) (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/ 1 (pow (sin b) -1)) (pow (sin b) -1) (/ -1 (/ -1 (cos (+ a b)))) (* (/ (sin b) (/ -1 (/ -1 (cos (+ a b))))) r) (/ (sin b) (/ -1 (/ -1 (cos (+ a b))))) (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a))) (* (sin a) (/ -1 (/ -1 (sin b)))) (* (* a a) r) (cos (+ a b)) (/ (+ (* (+ (* (+ (* 31/15120 (* b b)) 7/360) (* b b)) 1/6) (* b b)) 1) b) (/ -1 (cos (+ a b))) (* (cos (- b a)) (cos (+ a b))) (cos (- b a)) (pow (cos a) 2))

simplify205.0ms (1.7%)

Memory

-1.8MiB live, 247.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 588×	`lower-fma.f64`
9 588×	`lower-fma.f32`
8 126×	`lower-*.f64`
8 126×	`lower-*.f32`
2 484×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	553	7019
1	1789	6686
2	5808	6544
0	9233	6289

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 595

Calls

Call 1

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

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

rewrite211.0ms (1.8%)

Memory

-6.3MiB live, 299.7MiB allocated

Rules

5 088×	`lower-*.f32`
5 070×	`lower-*.f64`
4 554×	`lower-/.f32`
4 532×	`lower-/.f64`
2 664×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	342
0	99	341
1	350	309
2	2234	309
0	8771	309

Stop Event

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

Counts

25 → 889

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(neg.f64 (neg.f64 (sin.f64 b)))
(sin.f64 b)
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sin.f64 b)))
(.f64 (/.f64 r (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(.f64 (/.f64 r (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 r #s(literal -1 binary64)))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 r #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (.f64 r (sin.f64 b)))
(.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(.f64 (.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (.f64 r (sin.f64 b)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) #s(literal 1 binary64))
(.f64 (.f64 r (sin.f64 b)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) r))
(.f64 (sin.f64 b) (.f64 r (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 #s(literal -1 binary64) (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64))) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(neg.f64 (neg.f64 (sin.f64 b)))
(sin.f64 b)
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)) b))
(.f64 #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)) b)
(.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)))
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) r))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 r (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (*.f64 (neg.f64 r) r))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 r (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 r r) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) #s(literal 2 binary64)))) (neg.f64 (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r)))))
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(fma.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 (/.f64 (.f64 b b) (+.f64 a b))) (cos.f64 (/.f64 (.f64 a a) (+.f64 a b))) (.f64 (sin.f64 (/.f64 (.f64 b b) (+.f64 a b))) (sin.f64 (/.f64 (*.f64 a a) (+.f64 a b)))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (.f64 b b)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (.f64 b b)))) (.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (.f64 b b)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b))))))
(fma.f64 (/.f64 (neg.f64 (sin.f64 a)) #s(literal -1 binary64)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (.f64 (sin.f64 a) #s(literal 1 binary64)) (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (/.f64 (sin.f64 a) #s(literal -1 binary64)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (/.f64 (sin.f64 a) #s(literal -1 binary64)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (+.f64 a b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 (neg.f64 b))) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 (-.f64 a b))
(cos.f64 (-.f64 b a))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 b b) (+.f64 a b))) (cos.f64 (/.f64 (.f64 a a) (+.f64 a b)))) (.f64 (sin.f64 (/.f64 (.f64 b b) (+.f64 a b))) (sin.f64 (/.f64 (.f64 a a) (+.f64 a b)))))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (.f64 b b)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (.f64 b b))))) (.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (.f64 b b)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (.f64 b b))))))
(+.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 a))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 a)))
(pow.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a)))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a))) #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (cos.f64 a)) (log.f64 (cos.f64 a))))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))

eval321.0ms (2.7%)

Memory: 33.4MiB live, 570.7MiB allocated
Compiler: Compiled 42 699 to 3 711 computations (91.3% saved)

prune378.0ms (3.2%)

Memory

5.8MiB live, 654.2MiB allocated

Pruning

81 alts after pruning (75 fresh and 6 done)

	Pruned	Kept	Total
New	1 715	16	1 731
Fresh	6	59	65
Picked	4	1	5
Done	0	5	5
Total	1 725	81	1 806

Accuracy

100.0%

Counts

1 806 → 81

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
	98.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 r))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
	54.4%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
✓	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	61.0%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	64.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
	55.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
	48.6%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))
	99.5%	(/.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 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))))
	85.8%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))
	54.3%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (.f64 #s(approx (cos (- b a)) (cos.f64 a)) #s(literal 2 binary64))))
	41.2%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) #s(approx (cos a) #s(literal 1 binary64)))))
	64.0%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
	56.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (cos.f64 (-.f64 b a))))
	44.7%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (cos.f64 (-.f64 b a))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #s(literal -1 binary64))))
	63.1%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
	54.4%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
	99.6%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (neg.f64 (sin.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))
	50.6%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
	50.6%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)))))
✓	99.6%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	64.1%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (/ -1 (/ -1 (sin b)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))))
	69.2%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (/ -1 (/ -1 (sin b)))) (*.f64 a (sin.f64 b)))))
	61.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
	63.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
	50.0%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	50.5%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	75.8%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	50.8%	(/.f64 r (.f64 (cos.f64 (+.f64 a b)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))))
	75.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
	53.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) r))
	75.3%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	53.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
	75.8%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	41.7%	(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) r)
	29.1%	(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	26.2%	(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	41.7%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cos.f64 (+.f64 a b))) r)
	85.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) r)
	75.8%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) r)
	50.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r)
	37.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b))) r)
	50.9%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
	50.4%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))) (cos.f64 (+.f64 a b))) r)
	54.3%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	99.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
	99.6%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
	99.5%	(.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))))) r)
	63.0%	(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))))) r)
	75.8%	(.f64 (/.f64 (sin.f64 b) (.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b))))) r)
	48.6%	(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
	61.5%	(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
	63.1%	(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 b))) r)
✓	54.4%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	38.4%	(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r)
	41.9%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)
	75.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	54.4%	(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
	75.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) r)
	75.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r)
	75.7%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) r)
	75.8%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	50.3%	(*.f64 #s(approx (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
	63.1%	#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	49.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
✓	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
	28.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
✓	29.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
	20.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r))))) b))
	10.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
	10.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
✓	37.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 3 786 to 1 377 computations (63.6% saved)

regimes254.0ms (2.2%)

Memory

-25.2MiB live, 251.5MiB allocated

Counts

132 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 #s(approx (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 r (.f64 (cos.f64 (+.f64 a b)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r))))) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (cos.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) r))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) r)
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))))) r)
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a 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) (sin.f64 b)) (.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) r)
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) r)
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) r)
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (/ -1 (/ -1 (sin b)))) (*.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (/ -1 (/ -1 (sin b)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))))
(.f64 (/.f64 (sin.f64 b) (.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b))))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (.f64 #s(approx (cos (- b a)) (cos.f64 a)) #s(literal 2 binary64))))
(.f64 (/.f64 r (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) r)
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal -1 binary64))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (neg.f64 (sin.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 r))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #s(literal -1 binary64))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))
(fma.f64 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (/.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))) 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 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))))))

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

Calls

4 calls:

94.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
51.0ms	a
42.0ms	r
38.0ms	b

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes186.0ms (1.6%)

Memory

-3.0MiB live, 204.3MiB allocated

Counts

111 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 #s(approx (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 r (.f64 (cos.f64 (+.f64 a b)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r))))) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (cos.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) r))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) r)
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))))) r)
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a 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) (sin.f64 b)) (.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) r)
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) r)
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) r)
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (/ -1 (/ -1 (sin b)))) (*.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (/ -1 (/ -1 (sin b)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))))
(.f64 (/.f64 (sin.f64 b) (.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b))))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (.f64 #s(approx (cos (- b a)) (cos.f64 a)) #s(literal 2 binary64))))
(.f64 (/.f64 r (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) r)
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

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

Calls

4 calls:

58.0ms	r
51.0ms	b
36.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
36.0ms	a

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes237.0ms (2%)

Memory

4.8MiB live, 124.9MiB allocated

Counts

109 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 #s(approx (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 r (.f64 (cos.f64 (+.f64 a b)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r))))) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (cos.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) r))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) r)
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))))) r)
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a 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) (sin.f64 b)) (.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) r)
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) r)
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) r)
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (/ -1 (/ -1 (sin b)))) (*.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (/ -1 (/ -1 (sin b)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))))
(.f64 (/.f64 (sin.f64 b) (.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b))))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (.f64 #s(approx (cos (- b a)) (cos.f64 a)) #s(literal 2 binary64))))
(.f64 (/.f64 r (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) r)
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)

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

Calls

4 calls:

73.0ms	b
70.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
61.0ms	r
28.0ms	a

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes247.0ms (2.1%)

Memory

-6.7MiB live, 150.2MiB allocated

Counts

107 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 #s(approx (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 r (.f64 (cos.f64 (+.f64 a b)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r))))) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (cos.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) r))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) r)
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))))) r)
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a 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) (sin.f64 b)) (.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) r)
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) r)
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) r)
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (/ -1 (/ -1 (sin b)))) (*.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (/ -1 (/ -1 (sin b)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))))
(.f64 (/.f64 (sin.f64 b) (.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b))))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (.f64 #s(approx (cos (- b a)) (cos.f64 a)) #s(literal 2 binary64))))
(.f64 (/.f64 r (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))

Outputs
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))

Calls

4 calls:

71.0ms	b
71.0ms	a
65.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
35.0ms	r

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)

regimes149.0ms (1.3%)

Memory

20.8MiB live, 180.5MiB allocated

Counts

106 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 #s(approx (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 r (.f64 (cos.f64 (+.f64 a b)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r))))) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (cos.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) r))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) r)
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))))) r)
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) r)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a 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) (sin.f64 b)) (.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))) r)
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) r)
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) r)
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (/ -1 (/ -1 (sin b)))) (*.f64 a (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 b a))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 a))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(approx (cos (- b a)) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (/ -1 (/ -1 (sin b)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a #s(literal 1 binary64)) (sin.f64 b)) a))))
(.f64 (/.f64 (sin.f64 b) (.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b))))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (.f64 #s(approx (cos (- b a)) (cos.f64 a)) #s(literal 2 binary64))))
(.f64 (/.f64 r (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b)))))

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

Calls

4 calls:

46.0ms	a
41.0ms	r
31.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
27.0ms	b

Results

Accuracy	Segments	Branch
75.9%	1	`a`
75.9%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
75.9%	1	`r`
75.9%	1	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes58.0ms (0.5%)

Memory

-23.8MiB live, 95.3MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 #s(approx (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 r (.f64 (cos.f64 (+.f64 a b)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r))))) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)

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

Calls

4 calls:

18.0ms	b
13.0ms	r
13.0ms	a
11.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
75.9%	1	`b`
75.9%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
75.9%	1	`a`
75.9%	1	`r`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes48.0ms (0.4%)

Memory

2.9MiB live, 77.2MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 #s(approx (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 r (.f64 (cos.f64 (+.f64 a b)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r))))) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ ( (cos (- b a)) (cos (+ a b))) (cos (- b a))) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))

Outputs

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

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

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

Calls

4 calls:

12.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
11.0ms	a
11.0ms	r
10.0ms	b

Results

Accuracy	Segments	Branch
76.1%	3	`b`
63.1%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
66.3%	3	`r`
76.1%	3	`a`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes23.0ms (0.2%)

Memory

14.3MiB live, 50.5MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 #s(approx (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 r (.f64 (cos.f64 (+.f64 a b)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r))))) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))

Outputs

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

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

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

Calls

2 calls:

12.0ms	a
10.0ms	b

Results

Accuracy	Segments	Branch
76.1%	3	`a`
76.1%	3	`b`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes26.0ms (0.2%)

Memory

24.0MiB live, 66.6MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 #s(approx (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 r (.f64 (cos.f64 (+.f64 a b)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r))))) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (/ (* (cos (- b a)) (cos (+ a b))) (cos (- b a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 b))) r)

Outputs

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

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

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

Calls

2 calls:

15.0ms	a
9.0ms	b

Results

Accuracy	Segments	Branch
76.1%	3	`b`
76.1%	3	`a`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes36.0ms (0.3%)

Memory

3.0MiB live, 78.9MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 #s(approx (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)
(/.f64 r (.f64 (cos.f64 (+.f64 a b)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r))))) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 b))) r)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))) r)

Outputs

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

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

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

Calls

4 calls:

11.0ms	b
8.0ms	r
8.0ms	a
8.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
50.9%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
50.9%	1	`r`
50.9%	1	`a`
55.0%	3	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

-22.7MiB live, 16.0MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
55.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
54.9%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory

2.2MiB live, 49.5MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
50.3%	1	`a`
50.3%	1	`r`
50.3%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
50.3%	1	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes15.0ms (0.1%)

Memory

-8.1MiB live, 31.1MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
50.3%	1	`a`
50.3%	1	`r`
50.3%	1	`b`
50.3%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.1%)

Memory

-4.5MiB live, 34.9MiB allocated

Accuracy

Total -20.8b remaining (-52%)

Threshold costs -20.8b (-52%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.4%	1	`a`
37.4%	1	`r`
37.4%	1	`b`
37.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch49.0ms (0.4%)

Memory

15.4MiB live, 94.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	8.47114769844442e-20	5.86915888911677e-10
24.0ms	-26268960234.92332	-7.344457912825137e-12

Samples

19.0ms	145×	1	valid
14.0ms	191×	0	valid

Compiler

Compiled 519 to 350 computations (32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 8.0ms (34.3% of total)

ival-sin: 6.0ms (25.7% of total)

ival-add: 2.0ms (8.6% of total)

ival-div: 2.0ms (8.6% of total)

adjust: 2.0ms (8.6% of total)

ival-mult: 2.0ms (8.6% of total)

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

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

bsearch46.0ms (0.4%)

Memory

-25.4MiB live, 90.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	303000312.95875007	65623764906581816.0
19.0ms	-0.13531899046798393	-0.0003824036890916288

Samples

21.0ms	132×	1	valid
10.0ms	140×	0	valid

Compiler

Compiled 423 to 286 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 8.0ms (34.9% of total)

ival-sin: 7.0ms (30.6% of total)

ival-add: 2.0ms (8.7% of total)

ival-div: 2.0ms (8.7% of total)

adjust: 2.0ms (8.7% of total)

ival-mult: 2.0ms (8.7% of total)

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

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

bsearch24.0ms (0.2%)

Memory

-35.2MiB live, 38.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.47114769844442e-20	5.86915888911677e-10
11.0ms	-26268960234.92332	-7.344457912825137e-12

Samples

5.0ms	37×	1	valid
3.0ms	43×	0	valid

Compiler

Compiled 498 to 329 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 2.0ms (39.8% of total)

ival-add: 1.0ms (19.9% of total)

ival-div: 1.0ms (19.9% of total)

adjust: 1.0ms (19.9% of total)

ival-mult: 1.0ms (19.9% of total)

ival-sin: 1.0ms (19.9% of total)

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

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

bsearch58.0ms (0.5%)

Memory

33.6MiB live, 110.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.4385309075594959	50957.03020031397
30.0ms	-3.726077750144585e+24	-4000607722875702.0

Samples

34.0ms	203×	1	valid
9.0ms	85×	0	valid

Compiler

Compiled 681 to 410 computations (39.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-cos: 13.0ms (38.9% of total)

ival-sin: 10.0ms (29.9% of total)

adjust: 3.0ms (9% of total)

ival-add: 2.0ms (6% of total)

ival-div: 2.0ms (6% of total)

ival-mult: 2.0ms (6% of total)

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

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

bsearch38.0ms (0.3%)

Memory

-12.3MiB live, 71.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.4385309075594959	50957.03020031397
14.0ms	-3.726077750144585e+24	-4000607722875702.0

Samples

21.0ms	128×	1	valid
7.0ms	64×	0	valid

Compiler

Compiled 465 to 302 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 8.0ms (37.9% of total)

ival-sin: 6.0ms (28.4% of total)

ival-add: 2.0ms (9.5% of total)

adjust: 2.0ms (9.5% of total)

ival-div: 1.0ms (4.7% of total)

ival-mult: 1.0ms (4.7% of total)

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

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

bsearch41.0ms (0.4%)

Memory

-3.6MiB live, 72.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.4385309075594959	50957.03020031397
27.0ms	-26268960234.92332	-7.344457912825137e-12

Samples

17.0ms	107×	1	valid
12.0ms	117×	0	valid

Compiler

Compiled 475 to 314 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sin: 8.0ms (36.4% of total)

ival-cos: 7.0ms (31.8% of total)

ival-add: 2.0ms (9.1% of total)

ival-div: 2.0ms (9.1% of total)

adjust: 2.0ms (9.1% of total)

ival-mult: 1.0ms (4.5% of total)

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

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

simplify88.0ms (0.8%)

Memory

-8.8MiB live, 74.2MiB allocated

Algorithm

1×	egg-herbie

Rules

528×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
388×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
346×	`neg-mul-1-binary64-*.f64-neg.f64`
328×	`cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64`
302×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	465
1	149	465
2	176	465
3	202	465
4	242	465
5	315	465
6	402	465
7	553	465
8	695	465
9	806	465
10	981	465
11	1156	465
12	1354	465
13	1548	465
14	1683	465
15	1771	465
16	1814	465
17	1844	465
18	1856	465
19	1860	465
20	1860	465

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 b #s(literal -4574792530279969/73786976294838206464 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 a #s(literal -7194230188746725/18446744073709551616 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 310000000 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 b #s(literal -3984496719921263/36893488147419103232 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (/.f64 (.f64 b r) (cos.f64 a))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -720000000000000000 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r) (if (<=.f64 b #s(literal 72 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)))
(if (<=.f64 b #s(literal -1600000000000000000 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r) (if (<=.f64 b #s(literal 3100 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 b r)) (cos.f64 (+.f64 a b))) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)))
(if (<=.f64 b #s(literal -68 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r) (if (<=.f64 b #s(literal 3900 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (/.f64 (.f64 b r) (cos.f64 a))) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Outputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)) (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 b #s(literal -4574792530279969/73786976294838206464 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -4574792530279969/73786976294838206464 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 a #s(literal -7194230188746725/18446744073709551616 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 310000000 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -7194230188746725/18446744073709551616 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 310000000 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 b #s(literal -3984496719921263/36893488147419103232 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (/.f64 (.f64 b r) (cos.f64 a))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -720000000000000000 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r) (if (<=.f64 b #s(literal 72 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)))
(if (<=.f64 b #s(literal -1600000000000000000 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r) (if (<=.f64 b #s(literal 3100 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 b r)) (cos.f64 (+.f64 a b))) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)))
(if (<=.f64 b #s(literal -68 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r) (if (<=.f64 b #s(literal 3900 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (/.f64 (.f64 b r) (cos.f64 a))) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

soundness1.3s (11.4%)

Memory

10.6MiB live, 1 128.7MiB allocated

Rules

10 934×	`lower-fma.f64`
10 934×	`lower-fma.f32`
9 186×	`lower-fma.f64`
9 186×	`lower-fma.f32`
8 948×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	490	6160
1	1586	5812
2	5210	5695
0	8277	5492
0	8	19
0	13	19
1	44	19
2	234	19
3	2050	19
0	8441	19
0	369	6046
1	1163	5819
2	3688	5746
0	8616	5522
0	42	190
0	66	166
1	215	164
2	1317	164
0	8432	164
0	167	960
1	517	928
2	1602	886
3	5424	885
0	8361	853
0	34	159
0	58	173
1	197	117
2	1234	117
0	8593	117

Stop Event

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

Compiler

Compiled 800 to 375 computations (53.1% saved)

preprocess110.0ms (0.9%)

Memory: 22.2MiB live, 133.6MiB allocated
Remove: (negabs r)
Compiler: Compiled 856 to 322 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze315.0ms (2.7%)

sample2.9s (24.7%)

explain154.0ms (1.3%)

preprocess145.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize45.0ms (0.4%)

series17.0ms (0.1%)

simplify182.0ms (1.6%)

rewrite149.0ms (1.3%)

eval81.0ms (0.7%)

prune55.0ms (0.5%)

simplify102.0ms (0.9%)

localize257.0ms (2.2%)

series89.0ms (0.8%)

simplify206.0ms (1.8%)

rewrite305.0ms (2.6%)

eval313.0ms (2.7%)

prune296.0ms (2.5%)

simplify159.0ms (1.4%)

localize195.0ms (1.7%)

series91.0ms (0.8%)

simplify253.0ms (2.2%)

rewrite207.0ms (1.8%)

eval239.0ms (2%)

prune296.0ms (2.5%)

simplify101.0ms (0.9%)

localize290.0ms (2.5%)

series58.0ms (0.5%)

simplify205.0ms (1.7%)

rewrite211.0ms (1.8%)

eval321.0ms (2.7%)

prune378.0ms (3.2%)

regimes254.0ms (2.2%)

regimes186.0ms (1.6%)

regimes237.0ms (2%)

regimes247.0ms (2.1%)

regimes149.0ms (1.3%)

regimes58.0ms (0.5%)

regimes48.0ms (0.4%)

regimes23.0ms (0.2%)

regimes26.0ms (0.2%)

regimes36.0ms (0.3%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes20.0ms (0.2%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

bsearch49.0ms (0.4%)

bsearch46.0ms (0.4%)

bsearch24.0ms (0.2%)

bsearch58.0ms (0.5%)

bsearch38.0ms (0.3%)

bsearch41.0ms (0.4%)

simplify88.0ms (0.8%)

soundness1.3s (11.4%)

preprocess110.0ms (0.9%)

end0.0ms (0%)

Profiling