Metrics for rsin B (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze359.0ms (3.2%)

Memory

-19.7MiB live, 453.0MiB 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)

sample2.6s (22.8%)

Memory

27.6MiB live, 2 046.9MiB allocated

Samples

2.1s	5 830×	1	valid
161.0ms	2 426×	0	valid

Precisions

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

adjust: 734.0ms (36.5% of total)

ival-sin: 620.0ms (30.9% of total)

ival-cos: 314.0ms (15.6% of total)

ival-mult: 118.0ms (5.9% of total)

ival-add: 108.0ms (5.4% of total)

ival-div: 106.0ms (5.3% of total)

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

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

Bogosity

explain129.0ms (1.1%)

Memory

17.6MiB live, 303.5MiB 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 (sin.f64 b) (cos.f64 (+.f64 a b)))`
0	0	-	-	`(+.f64 a b)`
0	0	-	-	`(sin.f64 b)`
0	0	-	-	`a`
0	0	-	-	`r`
0	0	-	-	`b`
0	0	-	-	`(*.f64 r (/.f64 (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

66.0ms	352×	1	valid
13.0ms	160×	0	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-cos: 15.0ms (27.3% of total)

ival-sin: 14.0ms (25.5% of total)

ival-add: 10.0ms (18.2% of total)

adjust: 6.0ms (10.9% of total)

ival-mult: 5.0ms (9.1% of total)

ival-div: 4.0ms (7.3% of total)

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

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

preprocess103.0ms (0.9%)

Memory

-13.9MiB live, 64.3MiB allocated

Algorithm

1×	egg-herbie

Rules

654×	`times-frac`
520×	`associate-r`
518×	`unsub-neg`
466×	`distribute-rgt-in`
464×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	88
1	89	84
2	178	84
3	431	84
4	1079	84
5	2510	84
6	3268	84
7	3664	84
8	4244	84
9	4620	84
10	4632	84
11	4636	84
12	4636	84
13	4676	84
14	4692	84
15	4692	84
0	8	9
0	13	9
1	17	9
2	19	9
3	21	9
4	22	9
0	22	9

Stop Event

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

Calls

Call 1

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

Outputs
(*.f64 r (/.f64 (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

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify3.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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 (sin.f64 b) (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	17	28
2	19	28
3	21	28
4	22	28
0	22	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 r (/.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

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

localize70.0ms (0.6%)

Memory

1.4MiB live, 40.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 b)
accuracy	0.16015625	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy	0.21875	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	15.37801931141456	(cos.f64 (+.f64 a b))

Samples

57.0ms	176×	1	valid
6.0ms	80×	0	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-add: 31.0ms (59.4% of total)

ival-cos: 8.0ms (15.3% of total)

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

adjust: 3.0ms (5.7% of total)

ival-mult: 3.0ms (5.7% of total)

ival-div: 2.0ms (3.8% of total)

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

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

series28.0ms (0.2%)

Memory

-13.2MiB live, 24.8MiB allocated

Counts

4 → 96

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	r	@	0	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
3.0ms	b	@	0	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms	a	@	0	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms	a	@	inf	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
1.0ms	a	@	-inf	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))

simplify427.0ms (3.8%)

Memory

-96.6MiB live, 185.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 408×	`lower-fma.f64`
9 408×	`lower-fma.f32`
5 356×	`lower-*.f64`
5 356×	`lower-*.f32`
2 876×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	1226
1	660	1174
2	2060	1116
3	7691	1116
0	8271	1075

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

rewrite448.0ms (4%)

Memory

-34.8MiB live, 202.0MiB allocated

Rules

6 400×	`lower-*.f32`
6 398×	`lower-*.f64`
4 812×	`lower-/.f32`
4 810×	`lower-/.f64`
3 770×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	13	22
1	44	22
2	234	22
3	1985	22
0	10212	22

Stop Event

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

Counts

4 → 160

Calls

Call 1

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

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

eval31.0ms (0.3%)

Memory: 10.3MiB live, 48.2MiB allocated
Compiler: Compiled 4 673 to 723 computations (84.5% saved)

prune61.0ms (0.5%)

Memory

14.2MiB live, 100.3MiB allocated

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	229	26	255
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	230	26	256

Accuracy

99.9%

Counts

256 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.9%	(/.f64 (*.f64 (sin.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 (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)))
	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))))
	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))))
	75.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	75.8%	(.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
▶	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	99.4%	(.f64 r (/.f64 (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))))))))
	75.8%	(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
	75.8%	(.f64 r (/.f64 (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 r (/.f64 (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)))))
	60.9%	(.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
	61.5%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	63.1%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
	54.4%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	50.2%	(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
	75.7%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	75.8%	(.f64 r (.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
▶	50.3%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	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 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 b) r)) (cos.f64 b))) a)) a)))
	63.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))

Compiler

Compiled 1 010 to 610 computations (39.6% saved)

simplify241.0ms (2.1%)

Memory

10.1MiB live, 85.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 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)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (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))))
cost-diff	0	(.f64 r (/.f64 (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)))))
cost-diff	0	#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
cost-diff	0	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
cost-diff	0	(+.f64 a b)
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
cost-diff	384	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
cost-diff	0	(cos.f64 a)
cost-diff	0	(/.f64 b (cos.f64 a))
cost-diff	0	#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
cost-diff	0	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))

Rules

6 180×	`lower-fma.f32`
6 170×	`lower-fma.f64`
2 692×	`lower-*.f32`
2 676×	`lower-*.f64`
2 044×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	329
0	73	329
1	116	329
2	183	329
3	321	329
4	565	329
5	932	329
6	1510	329
7	2456	329
8	3237	329
9	3883	329
10	4594	329
11	5420	329
12	6165	329
13	6681	329
14	7059	329
15	7387	329
16	7540	329
17	7546	329
18	7676	329
0	8023	329

Stop Event

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

Calls

Call 1

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

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

localize235.0ms (2.1%)

Memory

13.9MiB live, 279.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.21875	(/.f64 (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))))
accuracy	0.36328125	(*.f64 #s(literal 1/6 binary64) a)
accuracy	3.3330856778026137	(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))
accuracy	29.92491109137344	#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)))
accuracy	0.0625	(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
accuracy	0.16015625	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
accuracy	0.21875	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
accuracy	31.141143975200045	#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
accuracy	0	(sin.f64 b)
accuracy	0.2421875	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
accuracy	0.24609375	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
accuracy	15.37801931141456	(cos.f64 (+.f64 a b))
accuracy	0	(cos.f64 a)
accuracy	0.11328125	(/.f64 b (cos.f64 a))
accuracy	0.16015625	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
accuracy	31.83528502764678	#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
accuracy	0.12566376953688402	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy	0.16015625	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
accuracy	0.21875	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
accuracy	0.221035009768442	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))

Samples

161.0ms	176×	1	valid
36.0ms	80×	0	valid

Compiler

Compiled 247 to 37 computations (85% saved)

Precisions

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

ival-mult: 40.0ms (32.9% of total)

ival-cos: 24.0ms (19.7% of total)

ival-sin: 18.0ms (14.8% of total)

ival-add: 11.0ms (9.1% of total)

ival-div: 11.0ms (9.1% of total)

adjust: 10.0ms (8.2% of total)

const: 5.0ms (4.1% of total)

ival-neg: 3.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (0.6%)

Memory

-6.8MiB live, 118.2MiB allocated

Counts

22 → 552

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	a	@	0	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (* 1/6 a))
8.0ms	b	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (* 1/6 a))
8.0ms	a	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (* 1/6 a))
5.0ms	b	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (* 1/6 a))
5.0ms	a	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (+ (* (sin b) (+ (* (* 1/6 a) a) -1)) (* (* -1/2 (cos b)) a)) (* 1/6 a))

simplify284.0ms (2.5%)

Memory

17.3MiB live, 205.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 818×	`lower-fma.f64`
9 818×	`lower-fma.f32`
7 594×	`lower-*.f64`
7 594×	`lower-*.f32`
3 630×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	421	7196
1	1285	6840
2	3939	6759
0	8917	6509

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 544

Calls

Call 1

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

rewrite211.0ms (1.9%)

Memory

1.9MiB live, 280.8MiB allocated

Rules

5 586×	`lower-*.f32`
5 570×	`lower-*.f64`
4 538×	`lower-/.f32`
4 526×	`lower-/.f64`
4 142×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	253
0	73	267
1	238	232
2	1583	232
0	8405	232

Stop Event

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

Counts

22 → 655

Calls

Call 1

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

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 r (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(.f64 (/.f64 r (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.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 (/.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.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 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(.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 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b)))
(*.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (/.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(.f64 (.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.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 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 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 (sin.f64 b) (.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) r))
(*.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 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 r))) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 r (neg.f64 (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)))) (.f64 (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (+.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)) (neg.f64 (sin.f64 b)))))))
(/.f64 (.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(/.f64 (.f64 (.f64 (sin.f64 b) r) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))))
(/.f64 (.f64 r (.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (neg.f64 (neg.f64 (sin.f64 b)))) (.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))))
(/.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 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (+.f64 #s(literal 0 binary64) (sin.f64 b))))
(/.f64 (.f64 r (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 b) (*.f64 #s(literal 0 binary64) (sin.f64 b))))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b))) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 a (cos.f64 b)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 a (cos.f64 b)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 a (cos.f64 b)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)))))
(/.f64 (fma.f64 (pow.f64 (.f64 a (cos.f64 b)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b))) (pow.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (.f64 #s(literal 1/2 binary64) (.f64 a (cos.f64 b)))) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b))) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 a (cos.f64 b)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 3 binary64))))))
(fma.f64 (.f64 (sin.f64 b) (.f64 #s(literal 1/6 binary64) a)) a (fma.f64 #s(literal -1 binary64) (sin.f64 b) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)))
(fma.f64 (.f64 (sin.f64 b) #s(literal 1/6 binary64)) (.f64 a a) (fma.f64 #s(literal -1 binary64) (sin.f64 b) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)))
(fma.f64 (.f64 (sin.f64 b) a) (.f64 #s(literal 1/6 binary64) a) (fma.f64 #s(literal -1 binary64) (sin.f64 b) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)))
(fma.f64 (.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)))
(fma.f64 (.f64 a (cos.f64 b)) #s(literal -1/2 binary64) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) a) (sin.f64 b) (fma.f64 #s(literal -1 binary64) (sin.f64 b) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)))
(fma.f64 #s(literal -1/2 binary64) (.f64 a (cos.f64 b)) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a))
(fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 a (sin.f64 b)) (fma.f64 #s(literal -1 binary64) (sin.f64 b) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 a a) (sin.f64 b)) (fma.f64 #s(literal -1 binary64) (sin.f64 b) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)))
(fma.f64 a (.f64 (.f64 #s(literal 1/6 binary64) a) (sin.f64 b)) (fma.f64 #s(literal -1 binary64) (sin.f64 b) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)))
(fma.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (.f64 #s(literal -1/2 binary64) a) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)))
(fma.f64 (sin.f64 b) (.f64 (.f64 #s(literal 1/6 binary64) a) a) (fma.f64 #s(literal -1 binary64) (sin.f64 b) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)))
(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))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)))) (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (.f64 #s(literal 1/2 binary64) (.f64 a (cos.f64 b))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b) (.f64 #s(literal 1/2 binary64) (.f64 a (cos.f64 b))))))
(+.f64 (fma.f64 (.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (.f64 (.f64 (sin.f64 b) #s(literal 1/6 binary64)) (.f64 a a))) (neg.f64 (sin.f64 b)))
(+.f64 (.f64 (.f64 (sin.f64 b) #s(literal 1/6 binary64)) (.f64 a a)) (fma.f64 #s(literal -1 binary64) (sin.f64 b) (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)))
(+.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)))
(*.f64 #s(literal 1/6 binary64) a)
(*.f64 a #s(literal 1/6 binary64))

eval225.0ms (2%)

Memory: 22.6MiB live, 361.2MiB allocated
Compiler: Compiled 29 170 to 2 445 computations (91.6% saved)

prune212.0ms (1.9%)

Memory

4.0MiB live, 394.8MiB allocated

Pruning

53 alts after pruning (50 fresh and 3 done)

	Pruned	Kept	Total
New	1 245	40	1 285
Fresh	11	10	21
Picked	2	3	5
Done	0	0	0
Total	1 258	53	1 311

Accuracy

100.0%

Counts

1 311 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.7%	(/.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) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)))) (.f64 (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (+.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)) (neg.f64 (sin.f64 b)))))))
	99.1%	(/.f64 (.f64 (.f64 (sin.f64 b) r) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))))
	75.9%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	59.9%	(/.f64 (.f64 r (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (+.f64 #s(literal 0 binary64) (sin.f64 b))))
	99.5%	(/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
	99.4%	(/.f64 r (/.f64 (/.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)))))) (sin.f64 b)))
	99.4%	(/.f64 r (/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b)))
	87.4%	(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
▶	63.0%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
	63.0%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	54.3%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
	75.7%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	99.5%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	53.7%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
	50.2%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	61.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	75.3%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
▶	75.2%	(.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)))
	99.4%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
	75.8%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
	75.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	75.7%	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
	75.8%	(.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	64.1%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (sin.f64 b)) a)))))
	69.1%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
	61.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	64.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	99.4%	(.f64 r (/.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))) (+.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))))))))
	75.8%	(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
	99.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
	75.8%	(.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
	61.5%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	63.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
▶	54.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
✓	51.8%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
	38.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
	41.9%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
	75.7%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	38.1%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 (cos.f64 a))))))
✓	50.3%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	36.7%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
	36.6%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.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))))))
	36.7%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
▶	37.4%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
	28.8%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
	29.9%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
	33.0%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	50.3%	#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	63.1%	#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
▶	99.6%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))

Compiler

Compiled 2 327 to 1 256 computations (46% saved)

simplify102.0ms (0.9%)

Memory

9.2MiB live, 84.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
cost-diff	6080	(.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)))
cost-diff	12928	(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64))
cost-diff	0	(cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))
cost-diff	0	(/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b))
cost-diff	384	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
cost-diff	896	(fma.f64 (/.f64 b a) a a)
cost-diff	0	#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
cost-diff	0	#s(approx (cos a) #s(literal 1 binary64))
cost-diff	0	(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
cost-diff	0	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (sin.f64 b) r)
cost-diff	0	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
cost-diff	6336	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))

Rules

2 622×	`lower-*.f32`
2 612×	`lower-*.f64`
2 168×	`lower-fma.f32`
2 164×	`lower-fma.f64`
1 634×	`lower-/.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	47	305
0	75	300
1	110	294
2	151	288
3	221	276
4	331	276
5	726	276
6	1618	276
7	3075	267
8	4019	267
9	5330	267
10	6254	267
11	7868	267
0	8032	267

Stop Event

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

Calls

Call 1

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

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

localize317.0ms (2.8%)

Memory

6.6MiB live, 401.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.23046875	(.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)))
accuracy	0.24609375	(pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))
accuracy	0.5477845037530544	(pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy	15.37801931141456	(cos.f64 (+.f64 a b))
accuracy	0.2421875	(/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b))
accuracy	0.24609375	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
accuracy	7.535870758335453	(fma.f64 (/.f64 b a) a a)
accuracy	15.37801931141456	(cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))
accuracy	0	(cos.f64 a)
accuracy	0.16015625	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
accuracy	0.21875	(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
accuracy	29.2890713339968	#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
accuracy	0.11328125	(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
accuracy	0.16015625	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
accuracy	27.405902363641605	#s(approx (cos a) #s(literal 1 binary64))
accuracy	31.83528502764678	#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
accuracy	0.109375	(*.f64 (sin.f64 b) r)
accuracy	0.12566376953688402	(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
accuracy	0.20703125	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
accuracy	0.221035009768442	(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))

Samples

186.0ms	176×	1	valid
42.0ms	80×	0	valid

Compiler

Compiled 238 to 36 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-cos: 49.0ms (27.3% of total)

ival-mult: 45.0ms (25.1% of total)

ival-div: 25.0ms (13.9% of total)

ival-pow: 22.0ms (12.3% of total)

ival-sin: 18.0ms (10% of total)

adjust: 11.0ms (6.1% of total)

ival-add: 7.0ms (3.9% of total)

ival-neg: 2.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series98.0ms (0.9%)

Memory

-24.0MiB live, 133.6MiB allocated

Counts

23 → 588

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	a	@	inf	((/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (/ b a) a) a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (pow (pow (* (sin b) r) -1) -1) (* (pow (cos (+ a b)) -1) (pow (pow (* (sin b) r) -1) -1)) (pow (cos (+ a b)) -1) (cos (+ a b)) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) (pow (* (sin b) r) -1))
6.0ms	r	@	inf	((/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (/ b a) a) a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (pow (pow (* (sin b) r) -1) -1) (* (pow (cos (+ a b)) -1) (pow (pow (* (sin b) r) -1) -1)) (pow (cos (+ a b)) -1) (cos (+ a b)) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) (pow (* (sin b) r) -1))
5.0ms	b	@	0	((/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (/ b a) a) a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (pow (pow (* (sin b) r) -1) -1) (* (pow (cos (+ a b)) -1) (pow (pow (* (sin b) r) -1) -1)) (pow (cos (+ a b)) -1) (cos (+ a b)) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) (pow (* (sin b) r) -1))
4.0ms	r	@	-inf	((/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (/ b a) a) a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (pow (pow (* (sin b) r) -1) -1) (* (pow (cos (+ a b)) -1) (pow (pow (* (sin b) r) -1) -1)) (pow (cos (+ a b)) -1) (cos (+ a b)) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) (pow (* (sin b) r) -1))
4.0ms	b	@	inf	((/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (/ b a) a) a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (pow (pow (* (sin b) r) -1) -1) (* (pow (cos (+ a b)) -1) (pow (pow (* (sin b) r) -1) -1)) (pow (cos (+ a b)) -1) (cos (+ a b)) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) (pow (* (sin b) r) -1))

simplify215.0ms (1.9%)

Memory

-17.3MiB live, 252.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 846×	`lower-fma.f64`
8 846×	`lower-fma.f32`
7 588×	`lower-*.f64`
7 588×	`lower-*.f32`
3 014×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	456	7823
1	1395	7419
2	4432	7344
0	8937	7095

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 580

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

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

rewrite152.0ms (1.3%)

Memory

-6.0MiB live, 304.2MiB allocated

Rules

4 070×	`lower-*.f32`
4 060×	`lower-*.f64`
3 984×	`lower-/.f32`
3 972×	`lower-/.f64`
2 732×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	254
0	74	240
1	251	191
2	1280	179
0	8713	179

Stop Event

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

Counts

23 → 681

Calls

Call 1

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

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

eval246.0ms (2.2%)

Memory: 16.1MiB live, 518.2MiB allocated
Compiler: Compiled 28 666 to 2 374 computations (91.7% saved)

prune268.0ms (2.4%)

Memory

-9.3MiB live, 492.6MiB allocated

Pruning

72 alts after pruning (66 fresh and 6 done)

	Pruned	Kept	Total
New	1 415	41	1 456
Fresh	20	25	45
Picked	2	3	5
Done	0	3	3
Total	1 437	72	1 509

Accuracy

100.0%

Counts

1 509 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.4%	(pow.f64 (.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -2 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64))) #s(literal -1/2 binary64))
	99.1%	(/.f64 (.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))))))
	54.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
	59.9%	(/.f64 (.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (.f64 (neg.f64 (cos.f64 #s(approx (+ a b) (+.f64 a b)))) (sin.f64 b)))
	75.7%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
▶	75.7%	(/.f64 (sin.f64 b) (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
	99.5%	(/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
	99.4%	(/.f64 r (/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b)))
	87.4%	(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
✓	63.0%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
	70.3%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b)))
	63.0%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	75.7%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	99.5%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	75.7%	(/.f64 r (*.f64 (neg.f64 (cos.f64 #s(approx (+ a b) (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	53.7%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
	50.2%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	61.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	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 b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (*.f64 r (sin.f64 b))))
	53.8%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -1 binary64)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
	54.8%	(.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
	37.0%	(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	75.7%	(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64))))
	42.8%	(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (exp.f64 (log.f64 (.f64 r (sin.f64 b)))))
	50.5%	(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (pow ( (sin b) r) -1) -1) (*.f64 b r)))
	99.2%	(.f64 (/.f64 (pow.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))) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (pow.f64 r #s(literal -1 binary64))))
	75.8%	(*.f64 (/.f64 (neg.f64 r) (cos.f64 #s(approx (+ a b) (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	75.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
▶	54.4%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (sin.f64 b))
	54.4%	(.f64 (.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
	44.9%	(.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))
	75.8%	(.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
	63.0%	(.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
	53.8%	(.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
	54.3%	(.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	64.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	75.8%	(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
	61.5%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	63.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
✓	54.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
	38.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	41.9%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
✓	51.8%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
	38.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
	54.4%	(.f64 r (.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))))
	38.1%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 (cos.f64 a))))))
✓	50.3%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	36.7%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
	36.6%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.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))))))
	36.7%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
✓	37.4%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
	37.4%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
	28.8%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
▶	29.9%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
	33.0%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	50.3%	#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	63.1%	#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	55.8%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) #s(literal 2 binary64)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
	99.0%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 r (sin.f64 b)) #s(literal -1 binary64))) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
	50.3%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (.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))) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
▶	99.6%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	50.6%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (*.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))))))))
▶	64.1%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (sin a) (neg (sin b))) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
	69.2%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (sin a) (neg (sin b))) (*.f64 (neg.f64 a) (sin.f64 b))))))
	61.0%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
	64.6%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
	99.5%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (/.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 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))))))
	99.6%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	61.0%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (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)))))
	63.1%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))

Compiler

Compiled 2 744 to 1 602 computations (41.6% saved)

simplify151.0ms (1.3%)

Memory

13.2MiB live, 88.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (sin.f64 b) r)
cost-diff	0	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (sin a) (neg (sin b))) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a))))
cost-diff	0	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (sin a) (neg (sin b))) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
cost-diff	0	(pow.f64 r #s(literal -1 binary64))
cost-diff	0	(sin.f64 b)
cost-diff	384	(/.f64 (sin.f64 b) (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
cost-diff	6080	(*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))
cost-diff	0	(cos.f64 a)
cost-diff	0	#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
cost-diff	0	(/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
cost-diff	0	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (sin.f64 b))
cost-diff	0	(fma.f64 (.f64 (.f64 a a) b) #s(literal 1/2 binary64) b)
cost-diff	0	#s(approx (/ b (cos a)) (fma.f64 (.f64 (.f64 a a) b) #s(literal 1/2 binary64) b))
cost-diff	0	#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (.f64 a a) b) #s(literal 1/2 binary64) b)))
cost-diff	0	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (sin.f64 b) r)
cost-diff	0	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
cost-diff	0	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))

Rules

3 536×	`lower-fma.f32`
3 528×	`lower-fma.f64`
2 574×	`lower-*.f32`
2 554×	`lower-*.f64`
1 352×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	414
0	86	409
1	142	409
2	220	405
3	341	405
4	495	400
5	732	400
6	1233	400
7	2186	400
8	3460	400
9	4813	400
10	6000	400
11	6717	400
12	6917	400
13	6986	400
14	7727	400
0	8077	400

Stop Event

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

Calls

Call 1

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

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

localize234.0ms (2.1%)

Memory

22.3MiB live, 372.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx ( (sin a) (neg (sin b))) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a))))
accuracy	0.36328125	(*.f64 #s(literal 1/6 binary64) a)
accuracy	3.3575466894793244	(.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))
accuracy	29.892847306185622	#s(approx (* (sin a) (neg (sin b))) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a))
accuracy	0	(sin.f64 b)
accuracy	0.21875	(*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))
accuracy	0.25390625	(/.f64 (sin.f64 b) (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
accuracy	15.37801931141456	(cos.f64 (+.f64 a b))
accuracy	0	(cos.f64 a)
accuracy	0.1875	(/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
accuracy	0.21484375	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (sin.f64 b))
accuracy	29.2890713339968	#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
accuracy	0.16015625	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
accuracy	7.250072386256927	(.f64 (.f64 a a) b)
accuracy	29.66094089068665	#s(approx (/ b (cos a)) (fma.f64 (.f64 (.f64 a a) b) #s(literal 1/2 binary64) b))
accuracy	31.83528502764678	#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (.f64 a a) b) #s(literal 1/2 binary64) 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 (sin.f64 b) r)
accuracy	0.20703125	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

155.0ms	176×	1	valid
44.0ms	80×	0	valid

Compiler

Compiled 296 to 46 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-mult: 43.0ms (26.9% of total)

ival-add: 27.0ms (16.9% of total)

ival-cos: 25.0ms (15.7% of total)

adjust: 23.0ms (14.4% of total)

ival-div: 17.0ms (10.7% of total)

ival-sin: 13.0ms (8.1% of total)

const: 5.0ms (3.1% of total)

ival-pow: 4.0ms (2.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series112.0ms (1%)

Memory

-3.1MiB live, 117.9MiB allocated

Counts

24 → 636

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	b	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (/ r (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos a) (* (pow r -1) (cos (+ a b))) (/ (sin b) (* (pow r -1) (cos (+ a b)))) (pow r -1) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos b) (cos a)) (* (* a a) b) (cos (+ a b)) (* (sin a) (neg (sin b))) (* (sin b) (+ (* (* 1/6 a) a) -1)) (* 1/6 a))
5.0ms	r	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (/ r (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos a) (* (pow r -1) (cos (+ a b))) (/ (sin b) (* (pow r -1) (cos (+ a b)))) (pow r -1) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos b) (cos a)) (* (* a a) b) (cos (+ a b)) (* (sin a) (neg (sin b))) (* (sin b) (+ (* (* 1/6 a) a) -1)) (* 1/6 a))
5.0ms	b	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (/ r (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos a) (* (pow r -1) (cos (+ a b))) (/ (sin b) (* (pow r -1) (cos (+ a b)))) (pow r -1) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos b) (cos a)) (* (* a a) b) (cos (+ a b)) (* (sin a) (neg (sin b))) (* (sin b) (+ (* (* 1/6 a) a) -1)) (* 1/6 a))
4.0ms	a	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (/ r (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos a) (* (pow r -1) (cos (+ a b))) (/ (sin b) (* (pow r -1) (cos (+ a b)))) (pow r -1) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos b) (cos a)) (* (* a a) b) (cos (+ a b)) (* (sin a) (neg (sin b))) (* (sin b) (+ (* (* 1/6 a) a) -1)) (* 1/6 a))
4.0ms	a	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (/ r (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b)) (/ r (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos a) (* (pow r -1) (cos (+ a b))) (/ (sin b) (* (pow r -1) (cos (+ a b)))) (pow r -1) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos b) (cos a)) (* (* a a) b) (cos (+ a b)) (* (sin a) (neg (sin b))) (* (sin b) (+ (* (* 1/6 a) a) -1)) (* 1/6 a))

simplify287.0ms (2.5%)

Memory

-5.7MiB live, 294.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 924×	`lower-fma.f64`
7 924×	`lower-fma.f32`
7 898×	`lower-*.f64`
7 898×	`lower-*.f32`
2 414×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	484	9099
1	1547	8564
2	5145	8483
0	8625	8206

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 633

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)))
(/ (* 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)))
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b
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))

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

rewrite237.0ms (2.1%)

Memory

12.6MiB live, 422.2MiB allocated

Rules

5 486×	`lower-*.f32`
5 466×	`lower-*.f64`
4 908×	`lower-/.f32`
4 900×	`lower-/.f64`
4 072×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	326
0	86	333
1	287	261
2	1665	261
0	8400	261

Stop Event

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

Counts

24 → 692

Calls

Call 1

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

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

eval191.0ms (1.7%)

Memory: -17.5MiB live, 549.4MiB allocated
Compiler: Compiled 34 928 to 2 163 computations (93.8% saved)

prune333.0ms (3%)

Memory

-7.3MiB live, 547.6MiB allocated

Pruning

78 alts after pruning (69 fresh and 9 done)

	Pruned	Kept	Total
New	1 408	29	1 437
Fresh	21	40	61
Picked	2	3	5
Done	0	6	6
Total	1 431	78	1 509

Accuracy

100.0%

Counts

1 509 → 78

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.4%	(pow.f64 (.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -2 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64))) #s(literal -1/2 binary64))
	75.7%	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))
	99.1%	(/.f64 (.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (-.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))))))
	54.4%	(/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
	99.4%	(/.f64 (sin.f64 b) (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) r) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) r)))
	47.9%	(/.f64 (sin.f64 b) (.f64 (pow.f64 (.f64 r r) #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b))))
	70.9%	(/.f64 (sin.f64 b) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 r)) (cos.f64 (+.f64 a b))))
	75.5%	(/.f64 (sin.f64 b) (.f64 (pow.f64 r #s(literal -1/2 binary64)) (.f64 (pow.f64 r #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b)))))
	99.4%	(/.f64 (sin.f64 b) (.f64 (pow.f64 r #s(literal -1 binary64)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))))
	75.7%	(/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 a b))))
	71.0%	(/.f64 (sin.f64 b) (.f64 (exp.f64 (.f64 (log.f64 r) #s(literal -1 binary64))) (cos.f64 (+.f64 a b))))
	61.3%	(/.f64 (sin.f64 b) #s(approx (* (pow r -1) (cos (+ a b))) (fma.f64 (neg.f64 a) (/.f64 (sin.f64 b) r) (/.f64 (cos.f64 b) r))))
	63.0%	(/.f64 (sin.f64 b) #s(approx (* (pow r -1) (cos (+ a b))) (/.f64 (cos.f64 b) r)))
	99.4%	(/.f64 r (/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b)))
	87.4%	(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
✓	63.0%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
	70.3%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b)))
	63.0%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	75.7%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	99.5%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	75.7%	(/.f64 r (*.f64 (neg.f64 (cos.f64 #s(approx (+ a b) (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	53.7%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
	50.2%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	61.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	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 b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
	53.8%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal -1 binary64)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
	75.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 r #s(literal -1 binary64)) (sin.f64 b)) (cos.f64 (+.f64 a b))))
	37.0%	(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 r (sin.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	50.5%	(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (pow ( (sin b) r) -1) -1) (*.f64 b r)))
	99.0%	(.f64 (/.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)))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 r #s(literal -1/2 binary64))))
	75.8%	(*.f64 (/.f64 (neg.f64 r) (cos.f64 #s(approx (+ a b) (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	75.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	99.6%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (sin.f64 b))
	63.1%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))) (sin.f64 b))
✓	54.4%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (sin.f64 b))
	38.4%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
	41.9%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
	54.3%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) r)) (sin.f64 b))
	54.4%	(.f64 (.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
	44.9%	(.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))
	75.8%	(.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
	39.3%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) r)) #s(literal -1 binary64))) (sin.f64 b))
	63.0%	(.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
	53.8%	(.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
	54.3%	(.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	75.8%	(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
	61.5%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	63.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
✓	54.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
✓	51.8%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
	38.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
	54.4%	(.f64 r (.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))))
	38.1%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 (cos.f64 a))))))
✓	50.3%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	36.7%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
	36.6%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.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))))))
	36.7%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
✓	37.4%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
	37.4%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
	28.8%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
✓	29.9%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
	10.6%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
	50.3%	#s(approx (/ (sin b) (* (pow r -1) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	55.8%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (pow.f64 (sqrt.f64 (.f64 r (sin.f64 b))) #s(literal 2 binary64)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
	99.0%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 r (sin.f64 b)) #s(literal -1 binary64))) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
	50.3%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (.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))) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
✓	99.6%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	64.6%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b)))))
	55.5%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a)))))
	50.6%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (*.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))))))))
	59.7%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 #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))) (cos.f64 b) #s(approx ( (sin a) (neg (sin b))) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
	58.2%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b) #s(approx (* (sin a) (neg (sin b))) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
	60.9%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) #s(approx ( (sin a) (neg (sin b))) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
	99.6%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	63.1%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
	63.7%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (sin a) (neg (sin b))) (.f64 (.f64 a (sin.f64 b)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))))) (.f64 (sin.f64 b) r))))

Compiler

Compiled 3 992 to 1 359 computations (66% saved)

regimes189.0ms (1.7%)

Memory

12.1MiB live, 257.8MiB allocated

Counts

137 → 1

Calls

Call 1

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

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

Calls

5 calls:

39.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
39.0ms	a
35.0ms	r
35.0ms	b
35.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes206.0ms (1.8%)

Memory

2.3MiB live, 229.8MiB allocated

Counts

108 → 1

Calls

Call 1

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

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

Calls

5 calls:

59.0ms	r
51.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
31.0ms	b
31.0ms	a
29.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes193.0ms (1.7%)

Memory

-5.9MiB live, 243.0MiB allocated

Counts

106 → 1

Calls

Call 1

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

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

Calls

5 calls:

49.0ms	r
46.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
32.0ms	a
32.0ms	b
29.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes96.0ms (0.8%)

Memory

-10.4MiB live, 103.5MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.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 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (sin b) (* (pow r -1) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 (cos.f64 a))))))
(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (pow ( (sin b) r) -1) -1) (*.f64 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) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))

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

Calls

5 calls:

33.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
27.0ms	a
10.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
10.0ms	r
10.0ms	b

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes57.0ms (0.5%)

Memory

26.8MiB live, 133.7MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.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 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (sin b) (* (pow r -1) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 (cos.f64 a))))))
(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (pow ( (sin b) r) -1) -1) (*.f64 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) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

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

Calls

5 calls:

13.0ms	r
12.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
11.0ms	b
10.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
10.0ms	a

Results

Accuracy	Segments	Branch
75.8%	1	`b`
75.8%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
75.8%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
75.8%	1	`r`
75.8%	1	`a`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes80.0ms (0.7%)

Memory

0.7MiB live, 122.1MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.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 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (sin b) (* (pow r -1) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 (cos.f64 a))))))
(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (pow ( (sin b) r) -1) -1) (*.f64 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) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))

Outputs

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

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

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

Calls

5 calls:

33.0ms	b
15.0ms	a
11.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
9.0ms	r
9.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes11.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.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 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (sin b) (* (pow r -1) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 (cos.f64 a))))))
(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (pow ( (sin b) r) -1) -1) (*.f64 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) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))) (sin.f64 b))

Outputs

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

(*.f64 r (/.f64 (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

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
76.1%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.3%)

Memory

-13.0MiB live, 24.0MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.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 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (sin b) (* (pow r -1) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 (cos.f64 a))))))
(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (pow ( (sin b) r) -1) -1) (*.f64 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) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
76.1%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Memory

17.8MiB live, 56.1MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.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 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (sin b) (* (pow r -1) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 (cos.f64 a))))))
(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (pow ( (sin b) r) -1) -1) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))

Outputs

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

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

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

Calls

3 calls:

12.0ms	b
7.0ms	a
7.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
76.1%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
73.9%	3	`a`
76.1%	3	`b`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes40.0ms (0.4%)

Memory

-17.4MiB live, 90.2MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.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 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (sin b) (* (pow r -1) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 (cos.f64 a))))))
(.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (pow ( (sin b) r) -1) -1) (*.f64 b r)))

Outputs

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

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

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

Calls

5 calls:

9.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
8.0ms	a
6.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
6.0ms	r
6.0ms	b

Results

Accuracy	Segments	Branch
50.5%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
50.5%	1	`r`
50.5%	1	`a`
54.9%	3	`b`
54.9%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

20 → 3

Calls

Call 1

Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) b)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (.f64 (.f64 (.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.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 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (sin b) (* (pow r -1) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sin.f64 b))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 (cos.f64 a))))))

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
54.9%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes56.0ms (0.5%)

Memory

-25.3MiB live, 65.3MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	b
14.0ms	a
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms	r

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes19.0ms (0.2%)

Memory

14.4MiB live, 52.0MiB allocated

Accuracy

Total -18.4b remaining (-45.9%)

Threshold costs -18.4b (-45.9%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	b
3.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms	(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
37.4%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch61.0ms (0.5%)

Memory

-4.7MiB live, 148.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	8.47114769844442e-20	5.86915888911677e-10
31.0ms	-26268960234.92332	-7.344457912825137e-12

Samples

23.0ms	145×	1	valid
16.0ms	191×	0	valid

Compiler

Compiled 530 to 350 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-cos: 9.0ms (36.1% of total)

ival-div: 4.0ms (16% of total)

ival-sin: 4.0ms (16% of total)

ival-add: 3.0ms (12% of total)

ival-mult: 3.0ms (12% of total)

adjust: 2.0ms (8% of total)

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

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

bsearch2.0ms (0%)

Memory

5.8MiB live, 5.8MiB 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
1.0ms	-26268960234.92332	-7.344457912825137e-12

Compiler

Compiled 530 to 350 computations (34% saved)

bsearch14.0ms (0.1%)

Memory

-2.2MiB live, 36.5MiB 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
12.0ms	-26268960234.92332	-7.344457912825137e-12

Samples

4.0ms	32×	1	valid
4.0ms	48×	0	valid

Compiler

Compiled 509 to 329 computations (35.4% saved)

Precisions

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

ival-sin: 2.0ms (32% of total)

ival-cos: 2.0ms (32% of total)

ival-add: 1.0ms (16% of total)

ival-div: 1.0ms (16% of total)

adjust: 1.0ms (16% of total)

ival-mult: 1.0ms (16% of total)

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

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.8206619308533746e-11	5.86915888911677e-10
0.0ms	-0.03370068980083697	-8.212782259801021e-17

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch67.0ms (0.6%)

Memory

2.7MiB live, 161.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.4385309075594959	50957.03020031397
38.0ms	-3.726077750144585e+24	-4000607722875702.0

Samples

36.0ms	207×	1	valid
8.0ms	81×	0	valid

Compiler

Compiled 501 to 338 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-cos: 12.0ms (33.8% of total)

ival-sin: 11.0ms (31% of total)

ival-add: 3.0ms (8.4% of total)

ival-div: 3.0ms (8.4% of total)

adjust: 3.0ms (8.4% of total)

ival-mult: 3.0ms (8.4% of total)

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

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

bsearch58.0ms (0.5%)

Memory

-7.7MiB live, 149.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.4385309075594959	50957.03020031397
31.0ms	-26268960234.92332	-7.344457912825137e-12

Samples

25.0ms	137×	1	valid
17.0ms	151×	0	valid

Compiler

Compiled 475 to 314 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sin: 11.0ms (32.8% of total)

ival-cos: 10.0ms (29.8% of total)

adjust: 6.0ms (17.9% of total)

ival-mult: 3.0ms (8.9% of total)

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

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

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

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

simplify36.0ms (0.3%)

Memory

-25.7MiB live, 77.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	565
1	130	565
2	140	565
3	145	565
4	148	565
5	149	565

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -4574792530279969/73786976294838206464 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (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)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) (.f64 r (/.f64 (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 -4796153459164483/36893488147419103232 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) #s(approx (/ r (/ (cos (+ a b)) (sin b))) (.f64 (/.f64 r (cos.f64 a)) b)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (/ r (/ (cos (+ a b)) (sin b))) (.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -8500000000000000 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 4165829655317709/1125899906842624 binary64)) (.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (pow ( (sin b) r) -1) -1) (.f64 b r))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -75 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 5000 binary64)) #s(approx (/ r (/ (cos (+ a b)) (sin b))) (.f64 (/.f64 r (cos.f64 a)) b)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))

Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.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) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(if (<=.f64 b #s(literal -4574792530279969/73786976294838206464 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (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)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (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)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) (.f64 r (/.f64 (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)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) #s(approx ( r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -4796153459164483/36893488147419103232 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 5609415803011879/9671406556917033397649408 binary64)) #s(approx (/ r (/ (cos (+ a b)) (sin b))) (.f64 (/.f64 r (cos.f64 a)) b)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (/ r (/ (cos (+ a b)) (sin b))) (.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -8500000000000000 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 4165829655317709/1125899906842624 binary64)) (.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (pow ( (sin b) r) -1) -1) (.f64 b r))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -8500000000000000 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))) r) (if (<=.f64 b #s(literal 4165829655317709/1125899906842624 binary64)) (.f64 #s(approx (pow (pow ( (sin b) r) -1) -1) (.f64 b r)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))) r)))
(if (<=.f64 b #s(literal -75 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 5000 binary64)) #s(approx (/ r (/ (cos (+ a b)) (sin b))) (.f64 (/.f64 r (cos.f64 a)) b)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -75 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))) r) (if (<=.f64 b #s(literal 5000 binary64)) #s(approx (/ r (/ (cos (+ a b)) (sin b))) (.f64 (/.f64 r (cos.f64 a)) b)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))) r)))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) r)

soundness1.3s (11.2%)

Memory

7.0MiB live, 1 118.9MiB allocated

Rules

9 818×	`lower-fma.f64`
9 818×	`lower-fma.f32`
9 408×	`lower-fma.f64`
9 408×	`lower-fma.f32`
8 846×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	456	7823
1	1395	7419
2	4432	7344
0	8937	7095
0	215	1226
1	660	1174
2	2060	1116
3	7691	1116
0	8271	1075
0	47	254
0	74	240
1	251	191
2	1280	179
0	8713	179
0	8	22
0	13	22
1	44	22
2	234	22
3	1985	22
0	10212	22
0	421	7196
1	1285	6840
2	3939	6759
0	8917	6509

Stop Event

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

Compiler

Compiled 954 to 464 computations (51.4% saved)

preprocess120.0ms (1.1%)

Memory: 25.3MiB live, 218.8MiB allocated
Remove: (negabs r)
Compiler: Compiled 794 to 274 computations (65.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze359.0ms (3.2%)

sample2.6s (22.8%)

explain129.0ms (1.1%)

preprocess103.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize70.0ms (0.6%)

series28.0ms (0.2%)

simplify427.0ms (3.8%)

rewrite448.0ms (4%)

eval31.0ms (0.3%)

prune61.0ms (0.5%)

simplify241.0ms (2.1%)

localize235.0ms (2.1%)

series69.0ms (0.6%)

simplify284.0ms (2.5%)

rewrite211.0ms (1.9%)

eval225.0ms (2%)

prune212.0ms (1.9%)

simplify102.0ms (0.9%)

localize317.0ms (2.8%)

series98.0ms (0.9%)

simplify215.0ms (1.9%)

rewrite152.0ms (1.3%)

eval246.0ms (2.2%)

prune268.0ms (2.4%)

simplify151.0ms (1.3%)

localize234.0ms (2.1%)

series112.0ms (1%)

simplify287.0ms (2.5%)

rewrite237.0ms (2.1%)

eval191.0ms (1.7%)

prune333.0ms (3%)

regimes189.0ms (1.7%)

regimes206.0ms (1.8%)

regimes193.0ms (1.7%)

regimes96.0ms (0.8%)

regimes57.0ms (0.5%)

regimes80.0ms (0.7%)

regimes11.0ms (0.1%)

regimes36.0ms (0.3%)

regimes27.0ms (0.2%)

regimes40.0ms (0.4%)

regimes7.0ms (0.1%)

regimes56.0ms (0.5%)

regimes19.0ms (0.2%)

bsearch61.0ms (0.5%)

bsearch2.0ms (0%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch67.0ms (0.6%)

bsearch58.0ms (0.5%)

simplify36.0ms (0.3%)

soundness1.3s (11.2%)

preprocess120.0ms (1.1%)

end0.0ms (0%)

Profiling