Metrics for rsin B (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze269.0ms (2.2%)

Memory

6.0MiB live, 392.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample2.7s (22.3%)

Memory

23.5MiB live, 2 046.0MiB allocated

Samples

2.0s	5 816×	1	valid
333.0ms	2 440×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-cos: 499.0ms (41.5% of total)

ival-sin: 195.0ms (16.2% of total)

adjust: 192.0ms (16% of total)

ival-add: 116.0ms (9.7% of total)

ival-mult: 101.0ms (8.4% of total)

ival-div: 86.0ms (7.2% of total)

ival-true: 8.0ms (0.7% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain137.0ms (1.1%)

Memory

-11.5MiB live, 185.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
74	120	(2.9854410756157248e-173 -5.150688944292881e-297 -2.1758144737005538e+260)	-	`(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	194	0

Confusion

	Predicted +	Predicted -
+	74	0
-	120	62

Precision

0.38144329896907214

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	74	0	0
-	120	0	62

Precision?

0.38144329896907214

Recall?

1.0

Freqs

test

number	freq
0	62
1	194

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms	368×	1	valid
13.0ms	144×	0	valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-cos: 18.0ms (33.7% of total)

ival-sin: 12.0ms (22.4% of total)

adjust: 7.0ms (13.1% of total)

ival-mult: 6.0ms (11.2% of total)

ival-add: 5.0ms (9.3% of total)

ival-div: 4.0ms (7.5% of total)

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

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

preprocess104.0ms (0.9%)

Memory

9.7MiB live, 48.4MiB allocated

Algorithm

1×	egg-herbie

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 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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))))

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

localize53.0ms (0.4%)

Memory

-17.3MiB live, 63.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 b)
accuracy	0.1640625	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy	0.22265625	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	15.322924221957834	(cos.f64 (+.f64 a b))

Samples

41.0ms	184×	1	valid
5.0ms	72×	0	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-cos: 13.0ms (42.2% of total)

ival-sin: 6.0ms (19.5% of total)

ival-add: 3.0ms (9.7% of total)

adjust: 3.0ms (9.7% of total)

ival-mult: 3.0ms (9.7% of total)

ival-div: 2.0ms (6.5% of total)

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

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

series18.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB 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
3.0ms	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)))

simplify184.0ms (1.5%)

Memory

10.3MiB live, 159.6MiB allocated

Algorithm

1×	egg-herbie

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)))

rewrite276.0ms (2.3%)

Memory

-23.2MiB live, 216.5MiB allocated

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
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eval52.0ms (0.4%)

Memory: -8.1MiB live, 73.7MiB allocated
Compiler: Compiled 4 670 to 761 computations (83.7% saved)

prune61.0ms (0.5%)

Memory

5.5MiB live, 82.4MiB allocated

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	225	30	255
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	225	31	256

Accuracy

99.8%

Counts

256 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.7%	(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
	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)))
	75.5%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	75.7%	(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
▶	75.9%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	75.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
▶	35.5%	(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	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)))))
	77.3%	(.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))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))))
	99.4%	(.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))))))))
	75.9%	(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
▶	99.6%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
✓	76.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	49.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a)))))
	49.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
	59.4%	(.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)))))
	50.4%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
	59.8%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	62.2%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
	53.0%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	48.0%	(*.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))))
	75.8%	(.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)))))
▶	75.9%	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
	34.3%	(.f64 r (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))))
	48.6%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
▶	48.5%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	33.2%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	48.7%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.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))
	62.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))

Compiler

Compiled 979 to 734 computations (25% saved)

simplify96.0ms (0.8%)

Memory

9.7MiB live, 128.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (sin.f64 b) r)
cost-diff	14208	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
cost-diff	0	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
cost-diff	0	(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff	12928	(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))
cost-diff	0	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (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	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	260
0	65	251
1	104	246
2	208	236
3	417	236
4	1241	236
5	3483	236
6	7392	236
0	8172	236

Stop Event

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

Calls

Call 1

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

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

localize252.0ms (2.1%)

Memory

-5.6MiB live, 369.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.125	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
accuracy	0.12890625	(/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
accuracy	7.381370541251397	(cos.f64 (-.f64 b a))
accuracy	7.383852786624064	(cos.f64 (+.f64 a b))
accuracy	0.078125	(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64))
accuracy	0.08984375	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
accuracy	0.284198779305326	(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	7.383852786624064	(cos.f64 (+.f64 a b))
accuracy	0.0546875	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
accuracy	0.09375	(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))
accuracy	0.11947250976844202	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))
accuracy	7.383852786624064	(cos.f64 (+.f64 a b))
accuracy	0	(cos.f64 a)
accuracy	0.05078125	(/.f64 b (cos.f64 a))
accuracy	0.0546875	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
accuracy	15.32703153496889	#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
accuracy	0.048920163890847704	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
accuracy	0.0546875	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
accuracy	0.0703125	(*.f64 (sin.f64 a) (sin.f64 b))
accuracy	0.109375	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))

Samples

115.0ms	101×	1	invalid
82.0ms	82×	1	valid
14.0ms	39×	0	valid
10.0ms	34×	0	invalid

Compiler

Compiled 252 to 36 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-sin: 42.0ms (25.6% of total)

ival-cos: 32.0ms (19.5% of total)

ival-mult: 30.0ms (18.3% of total)

ival-div: 19.0ms (11.6% of total)

adjust: 19.0ms (11.6% of total)

ival-pow: 6.0ms (3.7% of total)

ival-add: 4.0ms (2.4% of total)

ival-sub: 4.0ms (2.4% of total)

ival-pow2: 4.0ms (2.4% of total)

ival-neg: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series303.0ms (2.5%)

Memory

13.1MiB live, 131.1MiB allocated

Counts

22 → 576

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
224.0ms	b	@	-inf	((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (pow (pow (/ (cos (+ a b)) (sin b)) -1/2) 2) (* r (pow (pow (/ (cos (+ a b)) (sin b)) -1/2) 2)) (pow (/ (cos (+ a b)) (sin b)) -1/2) (/ (cos (+ a b)) (sin b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (sin a) (sin b)) (cos (- b a)) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))))
13.0ms	a	@	inf	((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (pow (pow (/ (cos (+ a b)) (sin b)) -1/2) 2) (* r (pow (pow (/ (cos (+ a b)) (sin b)) -1/2) 2)) (pow (/ (cos (+ a b)) (sin b)) -1/2) (/ (cos (+ a b)) (sin b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (sin a) (sin b)) (cos (- b a)) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))))
12.0ms	r	@	inf	((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (pow (pow (/ (cos (+ a b)) (sin b)) -1/2) 2) (* r (pow (pow (/ (cos (+ a b)) (sin b)) -1/2) 2)) (pow (/ (cos (+ a b)) (sin b)) -1/2) (/ (cos (+ a b)) (sin b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (sin a) (sin b)) (cos (- b a)) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))))
6.0ms	b	@	0	((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (pow (pow (/ (cos (+ a b)) (sin b)) -1/2) 2) (* r (pow (pow (/ (cos (+ a b)) (sin b)) -1/2) 2)) (pow (/ (cos (+ a b)) (sin b)) -1/2) (/ (cos (+ a b)) (sin b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (sin a) (sin b)) (cos (- b a)) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))))
6.0ms	b	@	inf	((* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (pow (pow (/ (cos (+ a b)) (sin b)) -1/2) 2) (* r (pow (pow (/ (cos (+ a b)) (sin b)) -1/2) 2)) (pow (/ (cos (+ a b)) (sin b)) -1/2) (/ (cos (+ a b)) (sin b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (sin a) (sin b)) (cos (- b a)) (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))))

simplify211.0ms (1.7%)

Memory

-0.2MiB live, 337.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	667	8825
1	2251	8183
2	7957	8107
0	8143	7864

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 574

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

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

rewrite215.0ms (1.8%)

Memory

-12.9MiB live, 286.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	202
0	65	157
1	206	157
2	1276	157
0	8490	157

Stop Event

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

Counts

22 → 1 471

Calls

Call 1

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

Outputs
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eval421.0ms (3.5%)

Memory: 17.3MiB live, 634.3MiB allocated
Compiler: Compiled 59 105 to 4 575 computations (92.3% saved)

prune585.0ms (4.8%)

Memory

-145.0MiB live, 458.3MiB allocated

Pruning

70 alts after pruning (67 fresh and 3 done)

	Pruned	Kept	Total
New	2 359	56	2 415
Fresh	14	11	25
Picked	3	2	5
Done	0	1	1
Total	2 376	70	2 446

Accuracy

99.9%

Counts

2 446 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.7%	(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
	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)))
	75.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
	75.5%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	75.1%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 a b) (+.f64 a b))) (cos.f64 (-.f64 (-.f64 a b) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
	75.1%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
	99.4%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 (-.f64 b a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))) (cos.f64 (-.f64 b a)))
	52.7%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a)))
	62.1%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 b)))) (cos.f64 (-.f64 b a)))
	63.1%	(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
	54.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
	75.1%	(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
	75.2%	(.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
	75.9%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) r)))
	48.6%	(.f64 (/.f64 #s(approx ( (sin b) r) (.f64 b r)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	75.7%	(*.f64 (/.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
	75.2%	(.f64 (/.f64 r (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
	75.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	75.5%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) r))) (cos.f64 (-.f64 b a)))
	75.9%	(.f64 (.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
	75.9%	(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	75.8%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 b a)))
	75.9%	(.f64 (.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
	48.6%	(.f64 #s(approx (/ ( (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b)) (cos.f64 (-.f64 b a)))
	39.0%	(*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
	46.9%	(.f64 r (pow.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	39.1%	(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
▶	35.4%	(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
	32.2%	(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	25.4%	(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	25.1%	(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	35.5%	(*.f64 r (pow.f64 #s(approx (pow (/ (cos (+ a b)) (sin b)) -1/2) (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64)))
	23.3%	(*.f64 r (pow.f64 #s(approx (pow (/ (cos (+ a b)) (sin b)) -1/2) (sqrt.f64 (/.f64 b (cos.f64 a)))) #s(literal 2 binary64)))
	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)))))
	85.4%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))))
	75.9%	(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
▶	99.6%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	52.4%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b)))))
	62.2%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)))))
	63.3%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b)))))
✓	76.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	50.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
	59.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	62.2%	(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
	53.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
	48.0%	(*.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))))
	75.8%	(.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)))))
	99.5%	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (neg.f64 (sin.f64 b))))
	50.3%	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) (neg.f64 (sin.f64 b))))
	62.2%	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
	52.9%	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (neg.f64 (sin.f64 b))))
▶	75.8%	(.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))))
	24.4%	(.f64 r (.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))) (neg.f64 (sin.f64 b))))
	34.3%	(.f64 r (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))))
✓	48.5%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	33.9%	(.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))))))
	34.1%	(.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))))))
	33.8%	(.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))))))
▶	35.1%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
	48.4%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
	48.5%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
	26.6%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (.f64 b #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))))
	27.1%	(.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))))
	33.2%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	48.5%	#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 r (cos.f64 a)) b))
	62.2%	#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	99.5%	#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))

Compiler

Compiled 2 188 to 1 723 computations (21.3% saved)

simplify383.0ms (3.2%)

Memory

3.3MiB live, 118.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))
cost-diff	0	(.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))))
cost-diff	448	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))
cost-diff	14208	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
cost-diff	0	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
cost-diff	0	(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64))
cost-diff	0	(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
cost-diff	0	(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
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	#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) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))))
cost-diff	1792	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	317
0	70	288
1	109	286
2	220	267
3	714	265
4	2396	265
5	4303	265
6	6380	265
7	7074	265
8	7394	265
9	7552	265
10	7665	265
0	8217	265

Stop Event

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

Calls

Call 1

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

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

localize291.0ms (2.4%)

Memory

1.9MiB live, 348.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
accuracy	0.11947250976844202	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))
accuracy	7.381370541251397	(cos.f64 (-.f64 a b))
accuracy	7.383852786624064	(cos.f64 (+.f64 a b))
accuracy	0.0546875	(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
accuracy	0.08984375	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
accuracy	0.43765273444260866	(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
accuracy	7.383852786624064	(cos.f64 (+.f64 a b))
accuracy	0	(sin.f64 b)
accuracy	0.08984375	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
accuracy	0.12109375	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
accuracy	7.383852786624064	(cos.f64 (+.f64 a b))
accuracy	0.05078125	(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
accuracy	0.0546875	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
accuracy	12.066635052472591	#s(approx (cos a) #s(literal 1 binary64))
accuracy	15.32703153496889	#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
accuracy	0.0703125	(*.f64 (sin.f64 a) (sin.f64 b))
accuracy	0.109375	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))
accuracy	0.109375	(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))
accuracy	0.4575496791575366	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))

Samples

120.0ms	100×	1	invalid
84.0ms	81×	1	valid
39.0ms	35×	0	invalid
12.0ms	40×	0	valid

Compiler

Compiled 301 to 38 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-cos: 88.0ms (41.3% of total)

ival-pow: 38.0ms (17.8% of total)

ival-mult: 27.0ms (12.7% of total)

ival-div: 23.0ms (10.8% of total)

ival-sin: 18.0ms (8.4% of total)

adjust: 11.0ms (5.2% of total)

ival-sub: 4.0ms (1.9% of total)

ival-add: 2.0ms (0.9% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series404.0ms (3.3%)

Memory

0.5MiB live, 388.9MiB allocated

Counts

22 → 564

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) #<representation binary64>) () ())
#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) (patch (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) #<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 (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 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))) (patch (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())
#s(alt (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (patch (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())
#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())

Outputs
#s(alt (* a (sin b)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) (patch (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) (patch (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) (patch (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) (patch (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) #<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 #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>) () ())) ())
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#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
#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 a (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (/ (* 1 (sin b)) (cos (+ a b))) 1/4) (taylor inf a) (#s(alt (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (/ (* 1 (sin b)) (cos (+ a b))) 1/4) (taylor inf a) (#s(alt (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (/ (* 1 (sin b)) (cos (+ a b))) 1/4) (taylor inf a) (#s(alt (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (/ (* 1 (sin b)) (cos (+ a b))) 1/4) (taylor inf a) (#s(alt (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))) (patch (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))) (patch (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))) (patch (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))) (patch (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf a) (#s(alt (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (patch (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf a) (#s(alt (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (patch (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf a) (#s(alt (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (patch (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf a) (#s(alt (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (patch (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))) (patch (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (.f64 (sin.f64 a) (sin.f64 b)) (patch (.f64 (sin.f64 a) (sin.f64 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>) () ())) ())
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#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) (patch (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) (patch (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) (patch (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))) (patch (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 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))) (/.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>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b))))))) (patch (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 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))) (/.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)) (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 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
169.0ms	b	@	inf	((/ 1 (/ 1 (* (sin a) (sin b)))) (* r (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b))))))) (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b)))))) (sin b) (* 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 (pow (pow (/ (cos (+ a b)) (sin b)) -1/4) 4)) (pow (pow (/ (cos (+ a b)) (sin b)) -1/4) 4) (pow (/ (cos (+ a b)) (sin b)) -1/4) (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (* (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (neg (sin b))) (* r (* (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (neg (sin b)))) (* (cos (- a b)) (cos (+ a b))) (/ 1 (* (sin a) (sin b))) (* (sin a) (sin b)) (cos (- a b)))
102.0ms	a	@	inf	((/ 1 (/ 1 (* (sin a) (sin b)))) (* r (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b))))))) (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b)))))) (sin b) (* 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 (pow (pow (/ (cos (+ a b)) (sin b)) -1/4) 4)) (pow (pow (/ (cos (+ a b)) (sin b)) -1/4) 4) (pow (/ (cos (+ a b)) (sin b)) -1/4) (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (* (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (neg (sin b))) (* r (* (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (neg (sin b)))) (* (cos (- a b)) (cos (+ a b))) (/ 1 (* (sin a) (sin b))) (* (sin a) (sin b)) (cos (- a b)))
24.0ms	b	@	-inf	((/ 1 (/ 1 (* (sin a) (sin b)))) (* r (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b))))))) (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b)))))) (sin b) (* 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 (pow (pow (/ (cos (+ a b)) (sin b)) -1/4) 4)) (pow (pow (/ (cos (+ a b)) (sin b)) -1/4) 4) (pow (/ (cos (+ a b)) (sin b)) -1/4) (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (* (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (neg (sin b))) (* r (* (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (neg (sin b)))) (* (cos (- a b)) (cos (+ a b))) (/ 1 (* (sin a) (sin b))) (* (sin a) (sin b)) (cos (- a b)))
23.0ms	a	@	-inf	((/ 1 (/ 1 (* (sin a) (sin b)))) (* r (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b))))))) (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b)))))) (sin b) (* 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 (pow (pow (/ (cos (+ a b)) (sin b)) -1/4) 4)) (pow (pow (/ (cos (+ a b)) (sin b)) -1/4) 4) (pow (/ (cos (+ a b)) (sin b)) -1/4) (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (* (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (neg (sin b))) (* r (* (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (neg (sin b)))) (* (cos (- a b)) (cos (+ a b))) (/ 1 (* (sin a) (sin b))) (* (sin a) (sin b)) (cos (- a b)))
4.0ms	b	@	0	((/ 1 (/ 1 (* (sin a) (sin b)))) (* r (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b))))))) (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b)))))) (sin b) (* 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 (pow (pow (/ (cos (+ a b)) (sin b)) -1/4) 4)) (pow (pow (/ (cos (+ a b)) (sin b)) -1/4) 4) (pow (/ (cos (+ a b)) (sin b)) -1/4) (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (* (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (neg (sin b))) (* r (* (* (/ -1 (* (cos (- a b)) (cos (+ a b)))) (cos (- a b))) (neg (sin b)))) (* (cos (- a b)) (cos (+ a b))) (/ 1 (* (sin a) (sin b))) (* (sin a) (sin b)) (cos (- a b)))

simplify219.0ms (1.8%)

Memory

7.8MiB live, 283.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	650	8209
1	2105	7782
2	7014	7700
0	8113	7441

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 556

Calls

Call 1

Inputs
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (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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(/ b (cos a))
(/ b (cos a))
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(/ (cos (+ a b)) (sin b))
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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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(exp (* 1/4 (+ (log b) (log (/ 1 (cos a))))))
(+ (exp (* 1/4 (+ (log b) (log (/ 1 (cos a)))))) (* 1/4 (/ (* b (* (exp (* 1/4 (+ (log b) (log (/ 1 (cos a)))))) (sin a))) (cos a))))
(+ (exp (* 1/4 (+ (log b) (log (/ 1 (cos a)))))) (* b (+ (* 1/4 (/ (* (exp (* 1/4 (+ (log b) (log (/ 1 (cos a)))))) (sin a)) (cos a))) (* b (* (exp (* 1/4 (+ (log b) (log (/ 1 (cos a)))))) (+ (* 1/32 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 1/8 (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (* (cos a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))))))))))))
(+ (exp (* 1/4 (+ (log b) (log (/ 1 (cos a)))))) (* b (+ (* 1/4 (/ (* (exp (* 1/4 (+ (log b) (log (/ 1 (cos a)))))) (sin a)) (cos a))) (* b (+ (* b (* (exp (* 1/4 (+ (log b) (log (/ 1 (cos a)))))) (+ (* 1/384 (/ (pow (sin a) 3) (pow (cos a) 3))) (+ (* 1/32 (/ (* (sin a) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (* (cos a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))))))) (cos a))) (* 1/24 (+ (* -6 (* (cos a) (+ (* -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))))))) (+ (* -6 (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))))) (* 2 (/ (pow (sin a) 3) (pow (cos a) 3)))))))))) (* (exp (* 1/4 (+ (log b) (log (/ 1 (cos a)))))) (+ (* 1/32 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 1/8 (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (* 2 (* (cos a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))))))))))))))
(/ -1 (cos a))
(- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))
(- (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))
(- (* b (- (* b (- (* -1 (* b (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/2 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (cos a)))))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(pow (cos a) 2)
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))
(/ 1 (* b (sin a)))
(/ (+ (* 1/6 (/ (pow b 2) (sin a))) (/ 1 (sin a))) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) (sin a))) (* 1/6 (/ 1 (sin a))))) (/ 1 (sin a))) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) (sin a))) (* 7/360 (/ 1 (sin a))))) (* 1/6 (/ 1 (sin a))))) (/ 1 (sin a))) b)
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(cos a)
(+ (cos a) (* b (sin a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(sin b)
(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)) (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)))
(pow (/ (* 1 (sin b)) (cos (+ a b))) 1/4)
(pow (/ (* 1 (sin b)) (cos (+ a b))) 1/4)
(pow (/ (* 1 (sin b)) (cos (+ a b))) 1/4)
(pow (/ (* 1 (sin b)) (cos (+ a b))) 1/4)
(/ -1 (cos (+ a b)))
(/ -1 (cos (+ a b)))
(/ -1 (cos (+ a b)))
(/ -1 (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (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)))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(sin b)
(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)) (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))))
(pow (/ (* 1 (sin b)) (cos (- a (* -1 b)))) 1/4)
(pow (/ (* 1 (sin b)) (cos (- a (* -1 b)))) 1/4)
(pow (/ (* 1 (sin b)) (cos (- a (* -1 b)))) 1/4)
(pow (/ (* 1 (sin b)) (cos (- a (* -1 b)))) 1/4)
(/ -1 (cos (- a (* -1 b))))
(/ -1 (cos (- a (* -1 b))))
(/ -1 (cos (- a (* -1 b))))
(/ -1 (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(* (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)))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ 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) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ 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) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ 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
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)) a)
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (.f64 a a) #s(literal -1/6 binary64))) (*.f64 (sin.f64 b) a))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (.f64 a a) #s(literal 1/120 binary64))) (.f64 a a) (.f64 #s(literal -1/6 binary64) (sin.f64 b))) (*.f64 (sin.f64 b) a))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (neg.f64 (fma.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 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(/ (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 (neg.f64 a) (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 (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 (-.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)))) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b))) 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)))
(/ (* 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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1
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b
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(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/4 binary64))
(/ -1 (cos (- a (* -1 b))))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))
(/ -1 (cos (- a (* -1 b))))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))
(/ -1 (cos (- a (* -1 b))))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))
(/ -1 (cos (- a (* -1 b))))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
(/ 1 (* (sin a) (sin b)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 a)) (sin.f64 b))
(/ 1 (* (sin a) (sin b)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 a)) (sin.f64 b))
(/ 1 (* (sin a) (sin b)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 a)) (sin.f64 b))
(/ 1 (* (sin a) (sin b)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 a)) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(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) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
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(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

rewrite222.0ms (1.8%)

Memory

21.6MiB live, 182.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	228
0	70	168
1	224	159
2	1367	158
0	8334	158

Stop Event

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

Counts

22 → 1 003

Calls

Call 1

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

Outputs
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eval350.0ms (2.9%)

Memory: 8.1MiB live, 672.3MiB allocated
Compiler: Compiled 54 512 to 6 027 computations (88.9% saved)

prune407.0ms (3.4%)

Memory

21.4MiB live, 332.1MiB allocated

Pruning

74 alts after pruning (70 fresh and 4 done)

	Pruned	Kept	Total
New	2 117	34	2 151
Fresh	26	36	62
Picked	4	1	5
Done	0	3	3
Total	2 147	74	2 221

Accuracy

100.0%

Counts

2 221 → 74

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.9%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	99.4%	(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))
	85.8%	(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
	28.9%	(/.f64 r (/.f64 (cos.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (pow.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 b)))
	43.3%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)))
	22.2%	(/.f64 r (/.f64 (cos.f64 (.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (sin.f64 b)))
	58.3%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
	62.1%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	52.9%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
	75.8%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	99.4%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))
	75.7%	(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))))
	75.8%	(/.f64 r (.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) #s(literal -1 binary64))))
	49.5%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
	52.1%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) b)))
	48.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	59.6%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	75.5%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	75.1%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
	99.4%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 (-.f64 b a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))) (cos.f64 (-.f64 b a)))
	52.7%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a)))
	62.1%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 b)))) (cos.f64 (-.f64 b a)))
	63.1%	(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
	54.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
▶	75.1%	(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
	75.2%	(.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
	75.9%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) r)))
	75.7%	(*.f64 (/.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
	75.2%	(.f64 (/.f64 r (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
	75.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	75.5%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) r))) (cos.f64 (-.f64 b a)))
	75.9%	(.f64 (.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
	75.9%	(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	75.8%	(.f64 (.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 b a))))
	38.9%	(*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64)))
	46.7%	(.f64 r (pow.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
	46.9%	(.f64 r (pow.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	39.1%	(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	32.1%	(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
	32.2%	(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	25.4%	(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	25.0%	(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
	25.1%	(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	23.3%	(*.f64 r (pow.f64 #s(approx (pow (/ (cos (+ a b)) (sin b)) -1/2) (sqrt.f64 (/.f64 b (cos.f64 a)))) #s(literal 2 binary64)))
	75.9%	(.f64 r (/.f64 (.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (-.f64 b a)))) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))
▶	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)))))
	99.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	63.3%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b)))))
✓	76.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	62.2%	(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
	53.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
	48.0%	(*.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))))
	75.8%	(.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 b a)))))
	99.5%	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (neg.f64 (sin.f64 b))))
▶	62.2%	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
	52.9%	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (neg.f64 (sin.f64 b))))
	75.5%	(.f64 r (.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 (-.f64 b a))) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 a b) b) a)) (cos.f64 (-.f64 a (-.f64 b (+.f64 b a)))))) #s(literal 2 binary64)) (neg.f64 (sin.f64 b))))
	63.1%	(.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx ( (cos (- a b)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))))
	34.3%	(.f64 r (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))))
✓	48.5%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	33.9%	(.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))))))
	34.1%	(.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))))))
	33.8%	(.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))))))
✓	35.1%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
	35.0%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
	48.5%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
	26.6%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (.f64 b #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))))
▶	27.1%	(.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))))
	33.2%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	48.5%	#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	62.2%	#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	99.5%	#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b))))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))

Compiler

Compiled 2 299 to 1 813 computations (21.1% saved)

simplify114.0ms (0.9%)

Memory

8.4MiB live, 121.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))))
cost-diff	0	(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
cost-diff	256	(-.f64 a (+.f64 a b))
cost-diff	256	(-.f64 (-.f64 (-.f64 b a) a) b)
cost-diff	0	(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
cost-diff	0	(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (cos (+ a b)) (cos.f64 b))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b)))
cost-diff	0	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (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	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	390
0	94	390
1	154	370
2	315	361
3	740	341
4	2680	341
5	4929	341
6	6980	341
0	8049	340

Stop Event

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

Calls

Call 1

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

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

localize551.0ms (4.6%)

Memory

-49.3MiB live, 698.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5284434259943129	(+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))
accuracy	15.532888856015827	(cos.f64 (-.f64 a b))
accuracy	28.778501031714747	(-.f64 a (+.f64 a b))
accuracy	29.617109901228346	(-.f64 (-.f64 (-.f64 b a) a) b)
accuracy	0.2265625	(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))
accuracy	0.44273378907376815	(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64))
accuracy	15.07151418903294	(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
accuracy	15.322924221957834	(cos.f64 (+.f64 b a))
accuracy	0.15625	(/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b)))
accuracy	0.1640625	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
accuracy	0.27572250976844204	(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))
accuracy	28.67437241275038	#s(approx (cos (+ a b)) (cos.f64 b))
accuracy	0.1640625	(.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	6.616919287762257	(.f64 (.f64 a a) b)
accuracy	30.871582951867726	#s(approx (/ b (cos a)) (fma.f64 (.f64 (.f64 a a) b) #s(literal 1/2 binary64) b))
accuracy	33.03092524451288	#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	0.11003876953688403	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.1640625	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
accuracy	0.22265625	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))

Samples

389.0ms	232×	1	valid
52.0ms	21×	0	valid
4.0ms	3×	2	valid

Compiler

Compiled 347 to 52 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 399.0ms

ival-mult: 80.0ms (20.1% of total)

adjust: 71.0ms (17.8% of total)

ival-cos: 62.0ms (15.5% of total)

ival-sin: 57.0ms (14.3% of total)

ival-sub: 50.0ms (12.5% of total)

ival-add: 41.0ms (10.3% of total)

ival-div: 17.0ms (4.3% of total)

ival-pow: 11.0ms (2.8% of total)

ival-pow2: 5.0ms (1.3% of total)

ival-neg: 3.0ms (0.8% of total)

exact: 1.0ms (0.3% of total)

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

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

series102.0ms (0.8%)

Memory

18.1MiB live, 215.1MiB allocated

Counts

25 → 660

Calls

Call 1

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

Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.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 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.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>) () ())) ())
#s(alt (+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 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>) () ())) ())
#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 #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 (taylor 0 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 (+ b (* 1/2 (* (pow a 2) b))) (taylor 0 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 (+ b (* 1/2 (* (pow a 2) b))) (taylor 0 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 (+ b (* 1/2 (* (pow a 2) b))) (taylor 0 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 (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) (patch (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) (patch (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) (patch (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) (patch (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (cos b) (taylor 0 a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (cos (* 2 b))) (taylor 0 a) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ 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>) () ())) ())
#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 (* 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>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) (patch (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) (patch (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) (patch (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) (patch (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
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#s(alt (/ -1 (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (patch (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (cos (+ a b)) 2) (pow (sin b) 2)) (taylor inf a) (#s(alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (cos (+ a b)) 2) (pow (sin b) 2)) (taylor inf a) (#s(alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (cos (+ a b)) 2) (pow (sin b) 2)) (taylor inf a) (#s(alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (cos (+ a b)) 2) (pow (sin b) 2)) (taylor inf a) (#s(alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf a) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf a) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf a) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf a) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* -2 a) (taylor inf a) (#s(alt (-.f64 (-.f64 (-.f64 b a) a) b) (patch (-.f64 (-.f64 (-.f64 b a) a) b) #<representation binary64>) () ())) ())
#s(alt (* -2 a) (taylor inf a) (#s(alt (-.f64 (-.f64 (-.f64 b a) a) b) (patch (-.f64 (-.f64 (-.f64 b a) a) b) #<representation binary64>) () ())) ())
#s(alt (* -2 a) (taylor inf a) (#s(alt (-.f64 (-.f64 (-.f64 b a) a) b) (patch (-.f64 (-.f64 (-.f64 b a) a) b) #<representation binary64>) () ())) ())
#s(alt (* -2 a) (taylor inf a) (#s(alt (-.f64 (-.f64 (-.f64 b a) a) b) (patch (-.f64 (-.f64 (-.f64 b a) a) b) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor inf a) (#s(alt (-.f64 a (+.f64 a b)) (patch (-.f64 a (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor inf a) (#s(alt (-.f64 a (+.f64 a b)) (patch (-.f64 a (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor inf a) (#s(alt (-.f64 a (+.f64 a b)) (patch (-.f64 a (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor inf a) (#s(alt (-.f64 a (+.f64 a b)) (patch (-.f64 a (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor inf a) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor inf a) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor inf a) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor inf a) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor inf a) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor inf a) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor inf a) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor inf a) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<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 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<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 (+ (cos (neg (* 2 a))) (cos (* 2 b))) (taylor inf a) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg (* 2 a))) (cos (* 2 b))) (taylor inf a) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg (* 2 a))) (cos (* 2 b))) (taylor inf a) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg (* 2 a))) (cos (* 2 b))) (taylor inf a) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (.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 (* (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 (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
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#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* -2 a)) (cos (* 2 b))) (taylor -inf a) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* -2 a)) (cos (* 2 b))) (taylor -inf a) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* -2 a)) (cos (* 2 b))) (taylor -inf a) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* -2 a)) (cos (* 2 b))) (taylor -inf a) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (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 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (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 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (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 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (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) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1/6 (pow b 2)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (fma.f64 (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 (/ (* 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 (cos a)) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) (patch (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) (patch (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 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 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) (patch (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 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 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) (patch (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (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 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (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 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 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 (/ (pow (cos (+ a b)) 2) (pow (sin b) 2)) (taylor inf b) (#s(alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* -2 a) (taylor inf b) (#s(alt (-.f64 (-.f64 (-.f64 b a) a) b) (patch (-.f64 (-.f64 (-.f64 b a) a) b) #<representation binary64>) () ())) ())
#s(alt (* -2 a) (taylor inf b) (#s(alt (-.f64 (-.f64 (-.f64 b a) a) b) (patch (-.f64 (-.f64 (-.f64 b a) a) b) #<representation binary64>) () ())) ())
#s(alt (* -2 a) (taylor inf b) (#s(alt (-.f64 (-.f64 (-.f64 b a) a) b) (patch (-.f64 (-.f64 (-.f64 b a) a) b) #<representation binary64>) () ())) ())
#s(alt (* -2 a) (taylor inf b) (#s(alt (-.f64 (-.f64 (-.f64 b a) a) b) (patch (-.f64 (-.f64 (-.f64 b a) a) b) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor inf b) (#s(alt (-.f64 a (+.f64 a b)) (patch (-.f64 a (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor inf b) (#s(alt (-.f64 a (+.f64 a b)) (patch (-.f64 a (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor inf b) (#s(alt (-.f64 a (+.f64 a b)) (patch (-.f64 a (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor inf b) (#s(alt (-.f64 a (+.f64 a b)) (patch (-.f64 a (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor inf b) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor inf b) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor inf b) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor inf b) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor inf b) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor inf b) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor inf b) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor inf b) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<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 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (cos (- a b)) (taylor inf b) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a b)) (taylor inf b) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a b)) (taylor inf b) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (cos (- a b)) (taylor inf b) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg (* 2 a))) (cos (* 2 b))) (taylor inf b) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg (* 2 a))) (cos (* 2 b))) (taylor inf b) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg (* 2 a))) (cos (* 2 b))) (taylor inf b) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg (* 2 a))) (cos (* 2 b))) (taylor inf b) (#s(alt (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (patch (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf b) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- a (* -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>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor inf r) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor inf r) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor inf r) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor inf r) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor inf r) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor inf r) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor inf r) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor inf r) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) (patch (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (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)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) (patch (.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (patch (.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor -inf r) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor -inf r) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor -inf r) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))) (taylor -inf r) (#s(alt (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) (patch (.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor -inf r) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor -inf r) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor -inf r) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))) (taylor -inf r) (#s(alt (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (patch (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	a	@	inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (* r (pow (pow (/ (cos (+ b a)) (sin b)) 2) -1/2)) (pow (pow (/ (cos (+ b a)) (sin b)) 2) -1/2) (pow (/ (cos (+ b a)) (sin b)) 2) (/ (cos (+ b a)) (sin b)) (- (- (- b a) a) b) (- a (+ a b)) (* (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) 2) (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (* (cos b) (cos a)) (* (* a a) b) (cos (+ b a)) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))
12.0ms	b	@	inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (* r (pow (pow (/ (cos (+ b a)) (sin b)) 2) -1/2)) (pow (pow (/ (cos (+ b a)) (sin b)) 2) -1/2) (pow (/ (cos (+ b a)) (sin b)) 2) (/ (cos (+ b a)) (sin b)) (- (- (- b a) a) b) (- a (+ a b)) (* (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) 2) (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (* (cos b) (cos a)) (* (* a a) b) (cos (+ b a)) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))
10.0ms	r	@	-inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (* r (pow (pow (/ (cos (+ b a)) (sin b)) 2) -1/2)) (pow (pow (/ (cos (+ b a)) (sin b)) 2) -1/2) (pow (/ (cos (+ b a)) (sin b)) 2) (/ (cos (+ b a)) (sin b)) (- (- (- b a) a) b) (- a (+ a b)) (* (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) 2) (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (* (cos b) (cos a)) (* (* a a) b) (cos (+ b a)) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))
10.0ms	b	@	-inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (* r (pow (pow (/ (cos (+ b a)) (sin b)) 2) -1/2)) (pow (pow (/ (cos (+ b a)) (sin b)) 2) -1/2) (pow (/ (cos (+ b a)) (sin b)) 2) (/ (cos (+ b a)) (sin b)) (- (- (- b a) a) b) (- a (+ a b)) (* (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) 2) (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (* (cos b) (cos a)) (* (* a a) b) (cos (+ b a)) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))
8.0ms	a	@	-inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (* r (pow (pow (/ (cos (+ b a)) (sin b)) 2) -1/2)) (pow (pow (/ (cos (+ b a)) (sin b)) 2) -1/2) (pow (/ (cos (+ b a)) (sin b)) 2) (/ (cos (+ b a)) (sin b)) (- (- (- b a) a) b) (- a (+ a b)) (* (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) 2) (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (* (cos b) (cos a)) (* (* a a) b) (cos (+ b a)) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))

simplify220.0ms (1.8%)

Memory

40.3MiB live, 410.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	658	9265
1	2080	8912
2	6185	8835
0	8085	8570

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 657

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))))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* 1/2 (* (pow a 2) b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ -1 (cos b))
(- (* -1 (/ (* a (sin b)) (pow (cos b) 2))) (/ 1 (cos b)))
(- (* a (- (* -1 (* a (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b)))
(- (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (sin b) (pow (cos b) 2))) (+ (* 1/2 (/ (sin b) (pow (cos b) 2))) (/ (* (sin b) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3)))) (cos b)))))) (+ (* 1/2 (/ 1 (cos b))) (/ (pow (sin b) 2) (pow (cos b) 3))))) (/ (sin b) (pow (cos b) 2)))) (/ 1 (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (+ (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (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 (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))))) (/ (pow (sin b) 2) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(/ (pow (cos b) 2) (pow (sin b) 2))
(+ (* -2 (/ (* a (cos b)) (sin b))) (/ (pow (cos b) 2) (pow (sin b) 2)))
(+ (* a (+ (* -2 (/ (cos b) (sin b))) (* a (+ 1 (* -1 (/ (pow (cos b) 2) (pow (sin b) 2))))))) (/ (pow (cos b) 2) (pow (sin b) 2)))
(+ (* a (+ (* -2 (/ (cos b) (sin b))) (* a (+ 1 (+ (* -1 (/ (pow (cos b) 2) (pow (sin b) 2))) (* a (+ (* 1/3 (/ (cos b) (sin b))) (/ (cos b) (sin b))))))))) (/ (pow (cos b) 2) (pow (sin b) 2)))
(/ (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)))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 2 (/ (* r (* (cos (neg b)) (sin b))) (+ 1 (cos (* 2 b)))))
(+ (* -2 (/ (* a (* r (* (sin b) (sin (neg b))))) (+ 1 (cos (* 2 b))))) (* 2 (/ (* r (* (cos (neg b)) (sin b))) (+ 1 (cos (* 2 b))))))
(+ (* 2 (/ (* r (* (cos (neg b)) (sin b))) (+ 1 (cos (* 2 b))))) (* a (+ (* -2 (/ (* r (* (sin b) (sin (neg b)))) (+ 1 (cos (* 2 b))))) (* 2 (* a (- (* -1/2 (/ (* r (* (cos (neg b)) (sin b))) (+ 1 (cos (* 2 b))))) (* -2 (/ (* r (* (cos (neg b)) (sin b))) (pow (+ 1 (cos (* 2 b))) 2)))))))))
(+ (* 2 (/ (* r (* (cos (neg b)) (sin b))) (+ 1 (cos (* 2 b))))) (* a (+ (* -2 (/ (* r (* (sin b) (sin (neg b)))) (+ 1 (cos (* 2 b))))) (* a (+ (* 2 (* a (- (* 1/6 (/ (* r (* (sin b) (sin (neg b)))) (+ 1 (cos (* 2 b))))) (* 2 (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (cos (* 2 b))) 2)))))) (* 2 (- (* -1/2 (/ (* r (* (cos (neg b)) (sin b))) (+ 1 (cos (* 2 b))))) (* -2 (/ (* r (* (cos (neg b)) (sin b))) (pow (+ 1 (cos (* 2 b))) 2))))))))))
(/ (* r (* (cos (neg b)) (sin b))) (+ 1 (cos (* 2 b))))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (+ 1 (cos (* 2 b))))) (/ (* r (* (cos (neg b)) (sin b))) (+ 1 (cos (* 2 b)))))
(+ (* a (+ (* -1 (/ (* r (* (sin b) (sin (neg b)))) (+ 1 (cos (* 2 b))))) (* a (- (* -1/2 (/ (* r (* (cos (neg b)) (sin b))) (+ 1 (cos (* 2 b))))) (* -2 (/ (* r (* (cos (neg b)) (sin b))) (pow (+ 1 (cos (* 2 b))) 2))))))) (/ (* r (* (cos (neg b)) (sin b))) (+ 1 (cos (* 2 b)))))
(+ (* a (+ (* -1 (/ (* r (* (sin b) (sin (neg b)))) (+ 1 (cos (* 2 b))))) (* a (- (+ (* -1/2 (/ (* r (* (cos (neg b)) (sin b))) (+ 1 (cos (* 2 b))))) (* a (- (* 1/6 (/ (* r (* (sin b) (sin (neg b)))) (+ 1 (cos (* 2 b))))) (* 2 (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (cos (* 2 b))) 2)))))) (* -2 (/ (* r (* (cos (neg b)) (sin b))) (pow (+ 1 (cos (* 2 b))) 2))))))) (/ (* r (* (cos (neg b)) (sin b))) (+ 1 (cos (* 2 b)))))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (neg b))
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(+ 1 (cos (* 2 b)))
(+ 1 (+ (cos (* 2 b)) (* -2 (pow a 2))))
(+ 1 (+ (cos (* 2 b)) (* (pow a 2) (- (* 2/3 (pow a 2)) 2))))
(+ 1 (+ (cos (* 2 b)) (* (pow a 2) (- (* (pow a 2) (+ 2/3 (* -4/45 (pow a 2)))) 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))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (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))
(* 1/2 (* (pow a 2) b))
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2))))
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2))))
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2))))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ -1 (cos (+ a b)))
(/ -1 (cos (+ a b)))
(/ -1 (cos (+ a b)))
(/ -1 (cos (+ a b)))
(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)))
(/ (pow (cos (+ a b)) 2) (pow (sin b) 2))
(/ (pow (cos (+ a b)) 2) (pow (sin b) 2))
(/ (pow (cos (+ a b)) 2) (pow (sin b) 2))
(/ (pow (cos (+ a b)) 2) (pow (sin b) 2))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(+ (cos (neg (* 2 a))) (cos (* 2 b)))
(+ (cos (neg (* 2 a))) (cos (* 2 b)))
(+ (cos (neg (* 2 a))) (cos (* 2 b)))
(+ (cos (neg (* 2 a))) (cos (* 2 b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (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))
(* 1/2 (* (pow a 2) b))
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2))))
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2))))
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
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b
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(/ (pow (cos (- a (* -1 b))) 2) (pow (sin b) 2))
(/ (pow (cos (- a (* -1 b))) 2) (pow (sin b) 2))
(/ (pow (cos (- a (* -1 b))) 2) (pow (sin b) 2))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 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)) (cos (+ 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)))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 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)))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 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)))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))

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

rewrite247.0ms (2%)

Memory

-18.2MiB live, 351.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	295
0	94	308
1	341	252
2	2774	252
0	9393	248

Stop Event

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

Counts

25 → 922

Calls

Call 1

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

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eval287.0ms (2.4%)

Memory: -21.2MiB live, 454.0MiB allocated
Compiler: Compiled 41 997 to 4 394 computations (89.5% saved)

prune133.0ms (1.1%)

Memory

43.4MiB live, 311.2MiB allocated

Pruning

77 alts after pruning (70 fresh and 7 done)

	Pruned	Kept	Total
New	1 607	20	1 627
Fresh	15	50	65
Picked	2	3	5
Done	0	4	4
Total	1 624	77	1 701

Accuracy

100.0%

Counts

1 701 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.2%	(/.f64 (.f64 (.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(approx (cos (+ a b)) (cos.f64 b)))
	75.9%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	99.4%	(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))
	85.8%	(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
	28.9%	(/.f64 r (/.f64 (cos.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (pow.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 b)))
	43.3%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)))
	22.2%	(/.f64 r (/.f64 (cos.f64 (.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (sin.f64 b)))
	58.3%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
	62.1%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	52.9%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
	75.8%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
	99.4%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))
	75.7%	(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))))
	75.8%	(/.f64 r (.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) #s(literal -1 binary64))))
	49.5%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
	52.1%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) b)))
	48.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	59.6%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	75.5%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	99.4%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 (-.f64 b a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))) (cos.f64 (-.f64 b a)))
	52.7%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a)))
	75.5%	(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
	58.3%	(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) (neg.f64 b)) (-.f64 a (neg.f64 (+.f64 a b)))))))) #s(literal 2 binary64))
	75.1%	(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 #s(approx (- (- (- b a) a) b) (.f64 #s(literal -2 binary64) a))) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
	62.9%	(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))) #s(literal 2 binary64))
	74.8%	(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) a)) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
	54.2%	(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64)))) #s(literal 2 binary64))
	75.9%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) r)))
	75.7%	(*.f64 (/.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
	75.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	75.5%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) r))) (cos.f64 (-.f64 b a)))
	62.2%	(.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (.f64 (neg.f64 (sin.f64 b)) r))
	61.9%	(.f64 #s(approx (/ ( (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/.f64 (.f64 (.f64 r (cos.f64 b)) (sin.f64 b)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))) #s(literal 2 binary64))
	38.9%	(*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64)))
	46.7%	(.f64 r (pow.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
	46.9%	(.f64 r (pow.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	39.1%	(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	36.4%	(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	29.8%	(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	25.4%	(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	39.1%	(.f64 r (pow.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	28.3%	(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ b a)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	25.0%	(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
	25.1%	(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	23.3%	(*.f64 r (pow.f64 #s(approx (pow (/ (cos (+ a b)) (sin b)) -1/2) (sqrt.f64 (/.f64 b (cos.f64 a)))) #s(literal 2 binary64)))
	75.9%	(.f64 r (/.f64 (.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (-.f64 b a)))) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))
✓	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)))))
	63.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b)))))
	54.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos 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)))))
	99.4%	(.f64 r (/.f64 (sin.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)))))))))
	99.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
✓	76.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	62.2%	(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
	53.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))))
	48.0%	(*.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))))
	75.8%	(.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 b a)))))
	99.5%	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (neg.f64 (sin.f64 b))))
	52.9%	(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (neg.f64 (sin.f64 b))))
	75.5%	(.f64 r (.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 (-.f64 b a))) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 a b) b) a)) (cos.f64 (-.f64 a (-.f64 b (+.f64 b a)))))) #s(literal 2 binary64)) (neg.f64 (sin.f64 b))))
✓	48.5%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	33.9%	(.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))))))
	34.1%	(.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))))))
	33.8%	(.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))))))
✓	35.1%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
	35.0%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
	48.5%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
	26.6%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (.f64 b #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b))))
✓	27.1%	(.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))))
	17.9%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64)) (.f64 (neg.f64 b) b)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b) (neg.f64 b))))))
	17.8%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b) (neg.f64 b)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64)) (.f64 (neg.f64 b) b)))))))
	14.1%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
	11.7%	(.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)))))
	48.5%	#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	62.2%	#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	99.5%	#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b))))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))

Compiler

Compiled 3 687 to 1 628 computations (55.8% saved)

regimes232.0ms (1.9%)

Memory

2.8MiB live, 444.4MiB allocated

Counts

141 → 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 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)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (.f64 b #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) b)) (*.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 (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 r (cos.f64 a)) b))
#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 (cos.f64 a))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64)) (.f64 (neg.f64 b) b)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b) (neg.f64 b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b) (neg.f64 b)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64)) (.f64 (neg.f64 b) b)))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (sin.f64 b) (/.f64 r (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)) (* (sin a) (sin b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(approx (cos (+ a b)) (cos.f64 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 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (neg.f64 (sin.f64 b))))
(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (.f64 (neg.f64 (sin.f64 b)) r))
(/.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 r (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
(*.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 r (pow.f64 #s(approx (pow (/ (cos (+ a b)) (sin b)) -1/2) (sqrt.f64 (/.f64 b (cos.f64 a)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)))
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 b 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)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(.f64 #s(approx (/ ( (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b)) (cos.f64 (-.f64 b a)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 r (pow.f64 #s(approx (pow (/ (cos (+ a b)) (sin b)) -1/2) (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64)))
(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) (neg.f64 (sin.f64 b))))
(*.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 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(.f64 #s(approx (/ ( (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/.f64 (.f64 (.f64 r (cos.f64 b)) (sin.f64 b)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 #s(approx ( (sin b) r) (.f64 b r)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 r (.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (pow.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 b)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #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 r (.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))) (neg.f64 (sin.f64 b))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(.f64 r (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ b a)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.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)))))
(.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 b a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)))))
(.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx ( (cos (- a b)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 b)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a)))
(.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 (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 r (pow.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
(.f64 r (/.f64 (.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (-.f64 b a)))) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 (.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) a)) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b)))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 #s(approx (- (- (- b a) a) b) (.f64 #s(literal -2 binary64) a))) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) r)))
(.f64 (.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 b a))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a)))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) r))) (cos.f64 (-.f64 b a)))
(.f64 r (.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 (-.f64 b a))) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 a b) b) a)) (cos.f64 (-.f64 a (-.f64 b (+.f64 b a)))))) #s(literal 2 binary64)) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 r (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 a b) (+.f64 a b))) (cos.f64 (-.f64 (-.f64 a b) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (sin.f64 b)))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) (neg.f64 b)) (-.f64 a (neg.f64 (+.f64 a b)))))))) #s(literal 2 binary64))
(*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b))))))) (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(.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 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (neg.f64 (sin.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))))
(.f64 r (pow.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 r (pow.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 (-.f64 b a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.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))
(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 a) (sin.f64 b)))))))
(.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))) (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 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 (sin.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)))))))))

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

Calls

5 calls:

54.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
45.0ms	a
43.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
43.0ms	b
41.0ms	r

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 19 to 24 computations (-26.3% saved)

regimes219.0ms (1.8%)

Memory

-23.3MiB live, 255.7MiB allocated

Counts

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

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

Calls

5 calls:

59.0ms	r
44.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
38.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
37.0ms	a
34.0ms	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 19 to 24 computations (-26.3% saved)

regimes231.0ms (1.9%)

Memory

-14.2MiB live, 209.6MiB allocated

Counts

124 → 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 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)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (.f64 b #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) b)) (*.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 (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 r (cos.f64 a)) b))
#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 (cos.f64 a))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64)) (.f64 (neg.f64 b) b)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b) (neg.f64 b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b) (neg.f64 b)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64)) (.f64 (neg.f64 b) b)))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (sin.f64 b) (/.f64 r (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)) (* (sin a) (sin b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(approx (cos (+ a b)) (cos.f64 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 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (neg.f64 (sin.f64 b))))
(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (.f64 (neg.f64 (sin.f64 b)) r))
(/.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 r (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
(*.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 r (pow.f64 #s(approx (pow (/ (cos (+ a b)) (sin b)) -1/2) (sqrt.f64 (/.f64 b (cos.f64 a)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)))
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 b 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)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(.f64 #s(approx (/ ( (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b)) (cos.f64 (-.f64 b a)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 r (pow.f64 #s(approx (pow (/ (cos (+ a b)) (sin b)) -1/2) (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64)))
(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) (neg.f64 (sin.f64 b))))
(*.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 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(.f64 #s(approx (/ ( (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/.f64 (.f64 (.f64 r (cos.f64 b)) (sin.f64 b)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 #s(approx ( (sin b) r) (.f64 b r)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 r (.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (pow.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 b)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #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 r (.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))) (neg.f64 (sin.f64 b))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(.f64 r (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ b a)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.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)))))
(.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 b a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)))))
(.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx ( (cos (- a b)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 b)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a)))
(.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 (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 r (pow.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
(.f64 r (/.f64 (.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (-.f64 b a)))) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 (.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) a)) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b)))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 #s(approx (- (- (- b a) a) b) (.f64 #s(literal -2 binary64) a))) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) r)))
(.f64 (.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 b a))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a)))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) r))) (cos.f64 (-.f64 b a)))
(.f64 r (.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 (-.f64 b a))) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 a b) b) a)) (cos.f64 (-.f64 a (-.f64 b (+.f64 b a)))))) #s(literal 2 binary64)) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 r (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 a b) (+.f64 a b))) (cos.f64 (-.f64 (-.f64 a b) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (sin.f64 b)))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) (neg.f64 b)) (-.f64 a (neg.f64 (+.f64 a b)))))))) #s(literal 2 binary64))
(*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64)))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (/ 1 (/ 1 (* (sin a) (sin b))))))) (/.f64 (.f64 r (sin.f64 b)) (fma.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)) (* (sin a) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))

Calls

5 calls:

66.0ms	r
50.0ms	b
38.0ms	a
37.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
35.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes277.0ms (2.3%)

Memory

-5.7MiB live, 185.6MiB allocated

Counts

122 → 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 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)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (.f64 b #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) b)) (*.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 (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 r (cos.f64 a)) b))
#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 (cos.f64 a))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64)) (.f64 (neg.f64 b) b)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b) (neg.f64 b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b) (neg.f64 b)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64)) (.f64 (neg.f64 b) b)))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (sin.f64 b) (/.f64 r (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)) (* (sin a) (sin b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(approx (cos (+ a b)) (cos.f64 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 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (neg.f64 (sin.f64 b))))
(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (.f64 (neg.f64 (sin.f64 b)) r))
(/.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 r (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
(*.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 r (pow.f64 #s(approx (pow (/ (cos (+ a b)) (sin b)) -1/2) (sqrt.f64 (/.f64 b (cos.f64 a)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)))
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 b 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)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(.f64 #s(approx (/ ( (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) b)) (cos.f64 (-.f64 b a)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 r (pow.f64 #s(approx (pow (/ (cos (+ a b)) (sin b)) -1/2) (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64)))
(.f64 r (.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))) (neg.f64 (sin.f64 b))))
(*.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 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(.f64 #s(approx (/ ( (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/.f64 (.f64 (.f64 r (cos.f64 b)) (sin.f64 b)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 #s(approx ( (sin b) r) (.f64 b r)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 r (.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (pow.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 b)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #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 r (.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))) (neg.f64 (sin.f64 b))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(.f64 r (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) b)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(*.f64 r (pow.f64 (pow.f64 #s(approx (/ (cos (+ b a)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.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)))))
(.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 b a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 a) b)))))
(.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx ( (cos (- a b)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) #s(approx (cos (+ a b)) (cos.f64 b)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a)))
(.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 (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 r (pow.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
(.f64 r (/.f64 (.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (-.f64 b a)))) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 (.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 b a)))
(.f64 r (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) a)) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a)) b)))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 #s(approx (- (- (- b a) a) b) (.f64 #s(literal -2 binary64) a))) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) r)))
(.f64 (.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 b a))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) (cos.f64 (-.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a)))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) r))) (cos.f64 (-.f64 b a)))
(.f64 r (.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 (-.f64 b a))) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 a b) b) a)) (cos.f64 (-.f64 a (-.f64 b (+.f64 b a)))))) #s(literal 2 binary64)) (neg.f64 (sin.f64 b))))
(.f64 (/.f64 r (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 a b) (+.f64 a b))) (cos.f64 (-.f64 (-.f64 a b) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (sin.f64 b)))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) (neg.f64 b)) (-.f64 a (neg.f64 (+.f64 a b)))))))) #s(literal 2 binary64))
(*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 r (pow.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64)))

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

Calls

5 calls:

75.0ms	r
58.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
56.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
47.0ms	a
31.0ms	b

Results

Accuracy	Segments	Branch
76.0%	1	`r`
76.0%	1	`a`
76.0%	1	`b`
76.0%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
76.0%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes48.0ms (0.4%)

Memory

0.5MiB live, 50.1MiB allocated

Counts

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

Outputs
(*.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 (+ a b)) (cos.f64 a))))

Calls

5 calls:

17.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms	r
7.0ms	b
7.0ms	a
7.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Accuracy	Segments	Branch
62.2%	1	`r`
75.7%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
62.2%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
76.1%	3	`a`
75.7%	3	`b`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes8.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB 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 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)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (.f64 b #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) b)) (*.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 (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 r (cos.f64 a)) b))
#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 (cos.f64 a))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64)) (.f64 (neg.f64 b) b)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b) (neg.f64 b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b) (neg.f64 b)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64)) (.f64 (neg.f64 b) b)))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (sin.f64 b) (/.f64 r (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))))

Outputs

(*.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)))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
76.1%	3	`a`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes14.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB 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 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)) #s(approx (+ ( (* (* a a) b) 1/2) b) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (.f64 b #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) b)) (*.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 (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (/.f64 r (cos.f64 a)) b))
#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 (cos.f64 a))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64)) (.f64 (neg.f64 b) b)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b) (neg.f64 b))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b) (neg.f64 b)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64)) (.f64 (neg.f64 b) b)))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.f64 (sin.f64 b) (/.f64 r (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 (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.7%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
73.9%	3	`a`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes98.0ms (0.8%)

Memory

-29.9MiB live, 46.5MiB allocated

Counts

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

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

Calls

5 calls:

44.0ms	r
36.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
6.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
5.0ms	b
5.0ms	a

Results

Accuracy	Segments	Branch
48.5%	1	`r`
48.5%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
48.5%	1	`a`
48.5%	1	`b`
48.5%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes21.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
48.5%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
48.5%	1	`a`
48.5%	1	`b`
48.5%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
48.5%	1	`r`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes45.0ms (0.4%)

Memory

-4.2MiB live, 33.7MiB allocated

Accuracy

Total -18.5b remaining (-44.5%)

Threshold costs -18.5b (-44.5%)

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

31.0ms	b
3.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms	r
3.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms	a

Results

Accuracy	Segments	Branch
35.1%	1	`a`
35.1%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
35.1%	1	`b`
35.1%	1	`r`
35.1%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch100.0ms (0.8%)

Memory

3.3MiB live, 87.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	5.316447007590654e-10	0.0007531323845480119
56.0ms	-3249085339269.76	-1.5782852529217483e-10

Samples

73.0ms	162×	1	valid
10.0ms	158×	0	valid

Compiler

Compiled 332 to 374 computations (-12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-cos: 34.0ms (47% of total)

adjust: 22.0ms (30.4% of total)

ival-sin: 8.0ms (11.1% of total)

ival-add: 3.0ms (4.2% of total)

ival-div: 3.0ms (4.2% of total)

ival-mult: 3.0ms (4.2% of total)

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

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

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.316447007590654e-10	0.0007531323845480119
1.0ms	-3249085339269.76	-1.5782852529217483e-10

Compiler

Compiled 332 to 374 computations (-12.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00010761557532165226	0.02371501939679413
0.0ms	-3.7558340359861374e-7	-7.546356353070484e-13

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify63.0ms (0.5%)

Memory

-18.6MiB live, 58.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	295
1	106	295
2	124	295
3	137	295
4	147	295
5	171	295
6	207	295

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -2102928824402889/36893488147419103232 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 8500259669165361/2361183241434822606848 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -2102928824402889/36893488147419103232 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 8500259669165361/2361183241434822606848 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -944473296573929/4722366482869645213696 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 7378697629483821/36893488147419103232 binary64)) (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.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
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))) r)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) r)
#s(approx (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (.f64 (cos.f64 a) (cos.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 a #s(literal -2102928824402889/36893488147419103232 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 8500259669165361/2361183241434822606848 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -2102928824402889/36893488147419103232 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 8500259669165361/2361183241434822606848 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)))
(if (<=.f64 a #s(literal -2102928824402889/36893488147419103232 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 8500259669165361/2361183241434822606848 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -2102928824402889/36893488147419103232 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 8500259669165361/2361183241434822606848 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -944473296573929/4722366482869645213696 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 7378697629483821/36893488147419103232 binary64)) (.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #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 -944473296573929/4722366482869645213696 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 7378697629483821/36893488147419103232 binary64)) (.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(*.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)
#s(approx (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (*.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)

soundness759.0ms (6.3%)

Memory

25.2MiB live, 788.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	202
0	65	157
1	206	157
2	1276	157
0	8490	157
0	8	22
0	13	22
1	44	22
2	234	22
3	1985	22
0	10212	22
0	215	1226
1	660	1174
2	2060	1116
3	7691	1116
0	8271	1075
0	667	8825
1	2251	8183
2	7957	8107
0	8143	7864

Stop Event

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

Compiler

Compiled 391 to 212 computations (45.8% saved)

preprocess108.0ms (0.9%)

Memory: -0.0MiB live, 157.4MiB allocated
Remove: (negabs r)
Compiler: Compiled 638 to 316 computations (50.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze269.0ms (2.2%)

sample2.7s (22.3%)

explain137.0ms (1.1%)

preprocess104.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize53.0ms (0.4%)

series18.0ms (0.1%)

simplify184.0ms (1.5%)

rewrite276.0ms (2.3%)

eval52.0ms (0.4%)

prune61.0ms (0.5%)

simplify96.0ms (0.8%)

localize252.0ms (2.1%)

series303.0ms (2.5%)

simplify211.0ms (1.7%)

rewrite215.0ms (1.8%)

eval421.0ms (3.5%)

prune585.0ms (4.8%)

simplify383.0ms (3.2%)

localize291.0ms (2.4%)

series404.0ms (3.3%)

simplify219.0ms (1.8%)

rewrite222.0ms (1.8%)

eval350.0ms (2.9%)

prune407.0ms (3.4%)

simplify114.0ms (0.9%)

localize551.0ms (4.6%)

series102.0ms (0.8%)

simplify220.0ms (1.8%)

rewrite247.0ms (2%)

eval287.0ms (2.4%)

prune133.0ms (1.1%)

regimes232.0ms (1.9%)

regimes219.0ms (1.8%)

regimes231.0ms (1.9%)

regimes277.0ms (2.3%)

regimes48.0ms (0.4%)

regimes8.0ms (0.1%)

regimes14.0ms (0.1%)

regimes98.0ms (0.8%)

regimes21.0ms (0.2%)

regimes45.0ms (0.4%)

bsearch100.0ms (0.8%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

simplify63.0ms (0.5%)

soundness759.0ms (6.3%)

preprocess108.0ms (0.9%)

end0.0ms (0%)

Profiling