Metrics for rsin A (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze301.0ms (2.5%)

Memory

-25.5MiB live, 330.7MiB 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)

sample2.3s (19.3%)

Memory

37.9MiB live, 1 879.5MiB allocated

Samples

1.1s	5 782×	1	valid
817.0ms	2 474×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-cos: 918.0ms (56.4% of total)

ival-sin: 274.0ms (16.8% of total)

ival-mult: 139.0ms (8.5% of total)

adjust: 107.0ms (6.6% of total)

ival-div: 106.0ms (6.5% of total)

ival-add: 75.0ms (4.6% of total)

ival-true: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain139.0ms (1.1%)

Memory

-5.7MiB live, 199.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
70	131	(-8.125335959032774e+250 -4.837973549215801e+159 -1.100762101118604e-224)	-	`(cos.f64 (+.f64 a b))`
0	0	-	-	`(+.f64 a b)`
0	0	-	-	`(sin.f64 b)`
0	0	-	-	`a`
0	0	-	-	`(*.f64 r (sin.f64 b))`
0	0	-	-	`r`
0	0	-	-	`b`
0	0	-	-	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (+.f64 a b))`	sensitivity	201	0

Confusion

	Predicted +	Predicted -
+	70	0
-	131	55

Precision

0.3482587064676617

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	70	0	0
-	131	0	55

Precision?

0.3482587064676617

Recall?

1.0

Freqs

test

number	freq
0	55
1	201

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms	374×	1	valid
10.0ms	138×	0	valid

Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-cos: 16.0ms (33.6% of total)

ival-sin: 12.0ms (25.2% of total)

adjust: 7.0ms (14.7% of total)

ival-add: 5.0ms (10.5% of total)

ival-div: 4.0ms (8.4% of total)

ival-mult: 4.0ms (8.4% of total)

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

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

preprocess119.0ms (1%)

Memory

11.9MiB live, 50.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.3%)

Memory

12.4MiB live, 50.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 b)
accuracy	0.09765625	(*.f64 r (sin.f64 b))
accuracy	0.25619125976844204	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy	15.393622343406848	(cos.f64 (+.f64 a b))

Samples

30.0ms	187×	1	valid
5.0ms	69×	0	valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

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

ival-cos: 8.0ms (34.8% of total)

ival-sin: 6.0ms (26.1% of total)

adjust: 3.0ms (13.1% of total)

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

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

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

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

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

series16.0ms (0.1%)

Memory

-18.8MiB live, 19.5MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify154.0ms (1.3%)

Memory

13.9MiB live, 131.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite195.0ms (1.6%)

Memory

-9.7MiB live, 185.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 138

Calls

Call 1

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

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

eval42.0ms (0.3%)

Memory: 30.4MiB live, 73.1MiB allocated
Compiler: Compiled 3 824 to 548 computations (85.7% saved)

prune45.0ms (0.4%)

Memory

0.9MiB live, 73.7MiB allocated

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	201	32	233
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	201	33	234

Accuracy

99.9%

Counts

234 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	75.4%	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))
▶	75.7%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	77.3%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
	30.8%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
✓	75.8%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
	56.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
	48.6%	(/.f64 (.f64 r (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))))
	56.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
	49.8%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	56.5%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	58.8%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	52.2%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	47.6%	(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
	47.5%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	48.1%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
▶	75.8%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	75.4%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	75.6%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
	75.6%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	75.8%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	75.8%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	75.7%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	75.7%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	34.2%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	55.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)))
	47.7%	#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))
	58.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
▶	47.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))

Compiler

Compiled 1 117 to 814 computations (27.1% saved)

simplify97.0ms (0.8%)

Memory

-3.0MiB live, 117.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))
cost-diff	7744	(/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
cost-diff	0	(+.f64 a b)
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
cost-diff	12928	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 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	(cos.f64 a)
cost-diff	0	(/.f64 r (cos.f64 a))
cost-diff	0	(*.f64 (/.f64 r (cos.f64 a)) b)
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

Rules

3 906×	`lower-*.f32`
3 896×	`lower-*.f64`
2 180×	`lower-/.f32`
2 164×	`lower-/.f64`
1 958×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	236
0	62	200
1	97	200
2	168	200
3	350	200
4	1028	200
5	2852	200
6	3341	200
7	4378	200
8	5656	200
0	8057	200

Stop Event

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

Calls

Call 1

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

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

localize399.0ms (3.3%)

Memory

-22.2MiB live, 247.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.265625	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))
accuracy	0.36947250976844204	(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
accuracy	15.393622343406848	(cos.f64 (+.f64 a b))
accuracy	15.566287576494615	(cos.f64 (-.f64 b a))
accuracy	0.1640625	(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
accuracy	0.22265625	(pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))
accuracy	0.4951869676315235	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
accuracy	15.393622343406848	(cos.f64 (+.f64 a b))
accuracy	0	(sin.f64 b)
accuracy	0.21484375	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
accuracy	0.23046875	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
accuracy	15.393622343406848	(cos.f64 (+.f64 a b))
accuracy	0	(cos.f64 a)
accuracy	0.1015625	(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy	0.13671875	(/.f64 r (cos.f64 a))
accuracy	33.28097108451274	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy	0.09137623993272953	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy	0.09765625	(*.f64 r (sin.f64 b))
accuracy	0.228847509768442	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy	0.25619125976844204	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

Samples

142.0ms	180×	1	valid
35.0ms	76×	0	valid

Compiler

Compiled 233 to 34 computations (85.4% saved)

Precisions

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

ival-cos: 35.0ms (28.8% of total)

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

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

ival-sin: 17.0ms (14% of total)

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

adjust: 10.0ms (8.2% of total)

ival-add: 4.0ms (3.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series68.0ms (0.6%)

Memory

-8.3MiB live, 108.6MiB allocated

Counts

21 → 552

Calls

Call 1

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

Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (* b r) (taylor 0 a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) (taylor 0 a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) (taylor 0 a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt r (taylor 0 a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ r (* 1/2 (* (pow a 2) r))) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) (taylor 0 a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow a 2))) (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (cos b) (sin b)) (taylor 0 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 (+ (* -1 a) (/ (cos b) (sin b))) (taylor 0 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 (+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) (taylor 0 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 (+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b))) (taylor 0 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 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 b (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
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#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)) (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 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 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (cos (+ a b))) (taylor inf a) (#s(alt (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (+ a b))) (taylor inf a) (#s(alt (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (+ a b))) (taylor inf a) (#s(alt (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (patch (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (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 (* (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 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor -inf a) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ r (cos a)) (taylor -inf a) (#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (- b (* -1 a))) (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 (- b (* -1 a))) (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 (- b (* -1 a))) (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 (- b (* -1 a))) (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 (- 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 a (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
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#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf a) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (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>) () ())) ())
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#s(alt (* (cos (+ b (* -1 a))) (cos (- b (* -1 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 (+ b (* -1 a))) (cos (- b (* -1 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 (+ b (* -1 a))) (cos (- b (* -1 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 (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b r) (taylor 0 b) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) (taylor 0 b) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
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#s(alt (cos a) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
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#s(alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ())
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#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* 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 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 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 (/ (cos a) b) (taylor 0 b) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b) (taylor 0 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 (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b) (taylor 0 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) (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>) () ())) ())
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#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
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#s(alt (cos a) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) (taylor 0 b) (#s(alt (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* b r)) (taylor 0 b) (#s(alt (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b) (taylor 0 b) (#s(alt (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b) (taylor 0 b) (#s(alt (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b) (taylor 0 b) (#s(alt (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (neg a)) (taylor 0 b) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg a)) (* -1 (* b (sin (neg a))))) (taylor 0 b) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a))))) (taylor 0 b) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a))))) (taylor 0 b) (#s(alt (cos.f64 (-.f64 b a)) (patch (cos.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (cos a) (cos (neg a))) (taylor 0 b) (#s(alt (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (patch (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
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#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 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* r (sin b))) (taylor -inf r) (#s(alt (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* r (sin b))) (taylor -inf r) (#s(alt (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* r (sin b))) (taylor -inf r) (#s(alt (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* r (sin b))) (taylor -inf r) (#s(alt (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) (patch (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	a	@	0	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (pow (cos (+ a b)) -1) (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) (/ 1 (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))) (/ (* r (sin b)) (/ 1 (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))))) (* (neg (sin b)) (sin a)) (pow (* (sin b) r) -1) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
7.0ms	b	@	inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (pow (cos (+ a b)) -1) (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) (/ 1 (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))) (/ (* r (sin b)) (/ 1 (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))))) (* (neg (sin b)) (sin a)) (pow (* (sin b) r) -1) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
7.0ms	a	@	-inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (pow (cos (+ a b)) -1) (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) (/ 1 (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))) (/ (* r (sin b)) (/ 1 (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))))) (* (neg (sin b)) (sin a)) (pow (* (sin b) r) -1) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
5.0ms	a	@	inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (pow (cos (+ a b)) -1) (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) (/ 1 (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))) (/ (* r (sin b)) (/ 1 (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))))) (* (neg (sin b)) (sin a)) (pow (* (sin b) r) -1) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))
5.0ms	r	@	-inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (pow (cos (+ a b)) -1) (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))) (/ 1 (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))) (/ (* r (sin b)) (/ 1 (/ (cos (- b a)) (* (cos (- b a)) (cos (+ a b)))))) (* (neg (sin b)) (sin a)) (pow (* (sin b) r) -1) (cos (- b a)) (* (cos (- b a)) (cos (+ a b))))

simplify188.0ms (1.5%)

Memory

7.0MiB live, 275.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 090×	`lower-fma.f64`
9 090×	`lower-fma.f32`
7 512×	`lower-*.f64`
7 512×	`lower-*.f32`
2 162×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	522	6525
1	1675	6172
2	5386	6055
0	8550	5840

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 544

Calls

Call 1

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

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

rewrite288.0ms (2.4%)

Memory

13.2MiB live, 434.8MiB allocated

Rules

4 942×	`lower-*.f32`
4 932×	`lower-*.f64`
4 344×	`lower-/.f32`
4 330×	`lower-/.f64`
3 112×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	179
0	62	178
1	218	129
2	1373	129
0	8222	129

Stop Event

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

Counts

21 → 1 599

Calls

Call 1

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

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

eval467.0ms (3.9%)

Memory: 13.0MiB live, 834.7MiB allocated
Compiler: Compiled 63 424 to 4 456 computations (93% saved)

prune279.0ms (2.3%)

Memory

-4.9MiB live, 376.2MiB allocated

Pruning

81 alts after pruning (79 fresh and 2 done)

	Pruned	Kept	Total
New	2 616	67	2 683
Fresh	15	12	27
Picked	4	1	5
Done	0	1	1
Total	2 635	81	2 716

Accuracy

100.0%

Counts

2 716 → 81

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (pow.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	50.3%	(/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	31.0%	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	75.3%	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (pow.f64 r #s(literal -1 binary64)) (sin.f64 b)))
	47.9%	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (* (sin b) r) -1) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) r)) b)))
	47.7%	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (* (sin b) r) -1) (/.f64 #s(literal 1 binary64) (*.f64 b r))))
	99.2%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 b) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	75.4%	(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	63.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
	56.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	60.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	50.4%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))
	75.7%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))
	50.3%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
	99.3%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))))))
	76.0%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (/.f64 (+.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) (cos.f64 (-.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 2 binary64)))))
	75.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.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)))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))))
	58.7%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 #s(approx (cos (- b a)) (cos.f64 b)) (cos.f64 (+.f64 a b))))))
	60.1%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) #s(approx ( (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))
	58.7%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (- b a)) (cos.f64 b)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
	51.9%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (- b a)) (cos.f64 a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
	52.1%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (- b a)) ( (cos (- b a)) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
✓	75.8%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
	49.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ 1 (/ (cos (- b a)) ( (cos (- b a)) (cos (+ a b))))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	56.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ 1 (/ (cos (- b a)) ( (cos (- b a)) (cos (+ a b))))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	58.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ 1 (/ (cos (- b a)) ( (cos (- b a)) (cos (+ a b))))) (cos.f64 b)))
	52.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ 1 (/ (cos (- b a)) ( (cos (- b a)) (cos (+ a b))))) (cos.f64 a)))
	47.6%	(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
	51.8%	(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	47.5%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	47.9%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	48.0%	(/.f64 #s(approx (* r (sin b)) (.f64 b r)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
	48.1%	(/.f64 #s(approx (* r (sin b)) (*.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)))
	99.4%	(/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
	50.3%	(/.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 b)))
	99.2%	(/.f64 r (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (sin.f64 b)))
	99.2%	(/.f64 r (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (sin.f64 b)))
	75.6%	(/.f64 r (/.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) (*.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))) (sin.f64 b)))
	84.8%	(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
	32.2%	(/.f64 r (/.f64 (cos.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (*.f64 (-.f64 a b) (-.f64 a b)))) (sin.f64 b)))
	45.4%	(/.f64 r (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)))) (sin.f64 b)))
	40.2%	(/.f64 r (/.f64 (cos.f64 (.f64 (/.f64 (+.f64 a b) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (-.f64 b a) (pow.f64 (+.f64 a b) #s(literal -1 binary64))))) (sin.f64 b)))
	60.5%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
	58.7%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	52.1%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
	99.4%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	48.8%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)))
	51.9%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
	47.8%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	56.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	75.4%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
▶	75.6%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	99.0%	(.f64 (/.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (pow.f64 r #s(literal -1/2 binary64))))
	99.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
▶	75.7%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
▶	75.8%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	75.8%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	75.4%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))))
	75.7%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	75.7%	(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
	75.7%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	34.2%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	58.7%	#s(approx (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	47.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	47.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	47.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
	30.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	30.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	30.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	47.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	24.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
	24.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
	47.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
	47.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
▶	31.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 887 to 2 082 computations (27.9% saved)

simplify101.0ms (0.8%)

Memory

8.7MiB live, 124.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))))
cost-diff	256	(-.f64 a (+.f64 a b))
cost-diff	256	(-.f64 (-.f64 (-.f64 b a) a) b)
cost-diff	384	(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
cost-diff	0	(neg.f64 (sin.f64 b))
cost-diff	0	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
cost-diff	128	(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
cost-diff	7168	(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
cost-diff	0	(*.f64 b r)
cost-diff	0	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
cost-diff	0	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Rules

5 882×	`lower-fma.f32`
5 880×	`lower-fma.f64`
3 348×	`lower-*.f32`
3 334×	`lower-*.f64`
1 736×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	298
0	82	288
1	134	269
2	254	264
3	598	244
4	2271	244
5	5878	244
0	8048	243

Stop Event

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

Calls

Call 1

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

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

localize309.0ms (2.6%)

Memory

-24.6MiB live, 436.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.49124659847835067	(+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))
accuracy	15.566287576494615	(cos.f64 (-.f64 a b))
accuracy	27.526126491489407	(-.f64 (-.f64 (-.f64 b a) a) b)
accuracy	30.223138876198377	(-.f64 a (+.f64 a b))
accuracy	0.1875	(/.f64 r (cos.f64 (+.f64 a b)))
accuracy	0.21875	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
accuracy	0.26953125	(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))
accuracy	15.393622343406848	(cos.f64 (+.f64 a b))
accuracy	0	(sin.f64 b)
accuracy	0.2265625	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	0.23046875	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
accuracy	15.393622343406848	(cos.f64 (+.f64 a b))
accuracy	0	(*.f64 b r)
accuracy	25.060740494166637	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy	33.28097108451274	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy	0.09765625	(*.f64 r (sin.f64 b))
accuracy	0.10546875	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.14416754138909577	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.25619125976844204	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

235.0ms	233×	1	valid
25.0ms	15×	0	valid
7.0ms	8×	2	valid

Compiler

Compiled 287 to 44 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-cos: 64.0ms (28.1% of total)

ival-div: 42.0ms (18.5% of total)

ival-mult: 32.0ms (14.1% of total)

ival-sin: 32.0ms (14.1% of total)

adjust: 25.0ms (11% of total)

ival-sub: 14.0ms (6.2% of total)

ival-pow: 7.0ms (3.1% of total)

ival-add: 6.0ms (2.6% of total)

ival-neg: 3.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series144.0ms (1.2%)

Memory

16.4MiB live, 125.1MiB allocated

Counts

22 → 576

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	b	@	inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (* (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/ (cos (- a b)) 1/2)) (- (- (- b a) a) b) (- a (+ a b)) (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (* (cos b) (cos a)) (/ r (cos (+ a b))) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))
28.0ms	r	@	inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (* (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/ (cos (- a b)) 1/2)) (- (- (- b a) a) b) (- a (+ a b)) (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (* (cos b) (cos a)) (/ r (cos (+ a b))) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))
26.0ms	a	@	0	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (* (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/ (cos (- a b)) 1/2)) (- (- (- b a) a) b) (- a (+ a b)) (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (* (cos b) (cos a)) (/ r (cos (+ a b))) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))
8.0ms	r	@	-inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (* (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/ (cos (- a b)) 1/2)) (- (- (- b a) a) b) (- a (+ a b)) (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (* (cos b) (cos a)) (/ r (cos (+ a b))) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))
7.0ms	b	@	-inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (* (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/ (cos (- a b)) 1/2)) (- (- (- b a) a) b) (- a (+ a b)) (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (* (cos b) (cos a)) (/ r (cos (+ a b))) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))

simplify262.0ms (2.2%)

Memory

-1.5MiB live, 237.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 070×	`lower-fma.f64`
11 070×	`lower-fma.f32`
7 516×	`lower-*.f64`
7 516×	`lower-*.f32`
3 860×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	7512
1	2014	7274
2	6368	7193
0	8147	6989

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)))
(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)))
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b
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b
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(* b (+ (* (pow b 2) (- (* -1/6 (/ r (+ 1 (cos (neg (* 2 a)))))) (* -2 (/ r (pow (+ 1 (cos (neg (* 2 a)))) 2))))) (/ r (+ 1 (cos (neg (* 2 a)))))))
(* b (+ (* (pow b 2) (- (+ (* -1/6 (/ r (+ 1 (cos (neg (* 2 a)))))) (* (pow b 2) (- (* 1/120 (/ r (+ 1 (cos (neg (* 2 a)))))) (+ (* -2 (/ (- (* -1/6 (/ r (+ 1 (cos (neg (* 2 a)))))) (* -2 (/ r (pow (+ 1 (cos (neg (* 2 a)))) 2)))) (+ 1 (cos (neg (* 2 a)))))) (* 2/3 (/ r (pow (+ 1 (cos (neg (* 2 a)))) 2))))))) (* -2 (/ r (pow (+ 1 (cos (neg (* 2 a)))) 2))))) (/ r (+ 1 (cos (neg (* 2 a)))))))
(* b (+ (* (pow b 2) (- (+ (* -1/6 (/ r (+ 1 (cos (neg (* 2 a)))))) (* (pow b 2) (- (+ (* 1/120 (/ r (+ 1 (cos (neg (* 2 a)))))) (* (pow b 2) (- (* -1/5040 (/ r (+ 1 (cos (neg (* 2 a)))))) (+ (* -2 (/ (- (* 1/120 (/ r (+ 1 (cos (neg (* 2 a)))))) (+ (* -2 (/ (- (* -1/6 (/ r (+ 1 (cos (neg (* 2 a)))))) (* -2 (/ r (pow (+ 1 (cos (neg (* 2 a)))) 2)))) (+ 1 (cos (neg (* 2 a)))))) (* 2/3 (/ r (pow (+ 1 (cos (neg (* 2 a)))) 2))))) (+ 1 (cos (neg (* 2 a)))))) (+ (* -4/45 (/ r (pow (+ 1 (cos (neg (* 2 a)))) 2))) (* 2/3 (/ (- (* -1/6 (/ r (+ 1 (cos (neg (* 2 a)))))) (* -2 (/ r (pow (+ 1 (cos (neg (* 2 a)))) 2)))) (+ 1 (cos (neg (* 2 a))))))))))) (+ (* -2 (/ (- (* -1/6 (/ r (+ 1 (cos (neg (* 2 a)))))) (* -2 (/ r (pow (+ 1 (cos (neg (* 2 a)))) 2)))) (+ 1 (cos (neg (* 2 a)))))) (* 2/3 (/ r (pow (+ 1 (cos (neg (* 2 a)))) 2))))))) (* -2 (/ r (pow (+ 1 (cos (neg (* 2 a)))) 2))))) (/ r (+ 1 (cos (neg (* 2 a)))))))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(cos a)
(+ (cos a) (* 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)))))
(+ 1 (cos (neg (* 2 a))))
(+ 1 (+ (cos (neg (* 2 a))) (* -2 (pow b 2))))
(+ 1 (+ (cos (neg (* 2 a))) (* (pow b 2) (- (* 2/3 (pow b 2)) 2))))
(+ 1 (+ (cos (neg (* 2 a))) (* (pow b 2) (- (* (pow b 2) (+ 2/3 (* -4/45 (pow b 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))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(sin b)
(sin b)
(sin b)
(sin b)
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin 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)))))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(/ (* r (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (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))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (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))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(sin b)
(sin b)
(sin b)
(sin b)
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ 1 (sin b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin 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))))))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(/ (* r (sin b)) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/ (* r (sin b)) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/ (* r (sin b)) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/ (* r (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))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (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))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* 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 (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* 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 (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* 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 (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))

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

rewrite212.0ms (1.7%)

Memory

3.2MiB live, 232.3MiB allocated

Rules

4 752×	`lower-/.f32`
4 740×	`lower-/.f64`
3 856×	`lower-*.f32`
3 842×	`lower-*.f64`
2 334×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	210
0	82	221
1	316	173
2	2476	173
0	8341	169

Stop Event

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

Counts

22 → 914

Calls

Call 1

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

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

eval252.0ms (2.1%)

Memory: 38.9MiB live, 572.2MiB allocated
Compiler: Compiled 42 932 to 3 730 computations (91.3% saved)

prune175.0ms (1.4%)

Memory

-21.1MiB live, 630.5MiB allocated

Pruning

87 alts after pruning (83 fresh and 4 done)

	Pruned	Kept	Total
New	1 681	33	1 714
Fresh	24	50	74
Picked	2	3	5
Done	1	1	2
Total	1 708	87	1 795

Accuracy

100.0%

Counts

1 795 → 87

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	47.7%	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(approx (pow (* (sin b) r) -1) (/.f64 #s(literal 1 binary64) (*.f64 b r))))
	99.2%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 b) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	75.4%	(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))
	74.6%	(/.f64 (.f64 (.f64 (sin.f64 b) r) #s(literal 1 binary64)) (*.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (-.f64 a b)))))
	49.9%	(/.f64 (.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	56.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b)))))
	60.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
	53.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
	63.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
	60.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	50.4%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	50.3%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
	75.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.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)))))
	58.7%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 #s(approx (cos (- b a)) (cos.f64 b)) (cos.f64 (+.f64 a b))))))
	58.7%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (- b a)) (cos.f64 b)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
	52.1%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos (- b a)) ( (cos (- b a)) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
✓	75.8%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
	49.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ 1 (/ (cos (- b a)) ( (cos (- b a)) (cos (+ a b))))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	56.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ 1 (/ (cos (- b a)) ( (cos (- b a)) (cos (+ a b))))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	58.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ 1 (/ (cos (- b a)) ( (cos (- b a)) (cos (+ a b))))) (cos.f64 b)))
	52.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ 1 (/ (cos (- b a)) ( (cos (- b a)) (cos (+ a b))))) (cos.f64 a)))
	75.8%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
▶	51.8%	(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	47.5%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
▶	47.9%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	48.1%	(/.f64 #s(approx (* r (sin b)) (*.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)))
	50.3%	(/.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 b)))
	99.2%	(/.f64 r (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (sin.f64 b)))
	32.2%	(/.f64 r (/.f64 (cos.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (*.f64 (-.f64 a b) (-.f64 a b)))) (sin.f64 b)))
	45.4%	(/.f64 r (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)))) (sin.f64 b)))
	40.2%	(/.f64 r (/.f64 (cos.f64 (.f64 (/.f64 (+.f64 a b) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (-.f64 b a) (pow.f64 (+.f64 a b) #s(literal -1 binary64))))) (sin.f64 b)))
	60.5%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
	58.7%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
▶	52.1%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
	48.8%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)))
	51.9%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
	47.8%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	56.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	75.4%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	38.0%	(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	99.3%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))))
	56.3%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
	52.0%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
	35.6%	(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b))) r)
	99.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
	99.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
	76.1%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
	57.9%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 #s(approx (cos (- a b)) (cos.f64 b)) #s(literal 1/2 binary64)))
	75.8%	(.f64 (/.f64 (.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)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
	55.7%	(.f64 (/.f64 (.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)) (fma.f64 (.f64 #s(literal -2 binary64) a) a #s(literal 1 binary64))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
	59.8%	(.f64 (/.f64 (.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)))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
	54.0%	(.f64 (/.f64 (.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)))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
	99.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
	99.3%	(.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))) r)
✓	75.8%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	58.7%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
	52.2%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	99.2%	(.f64 (/.f64 r (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
	75.8%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	75.6%	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
	75.7%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	75.7%	(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
	74.6%	(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 a b))) (sin.f64 b)) (/.f64 r (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))))))
	75.7%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	47.5%	(*.f64 #s(approx (pow (/ -1 (neg (sin b))) -1) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (/.f64 r (cos.f64 (+.f64 a b))))
	47.9%	(.f64 #s(approx (/ ( (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/.f64 (.f64 b r) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64)))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
	47.9%	(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
	58.7%	#s(approx (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	47.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	47.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	47.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
	30.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	30.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	30.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	47.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	24.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
▶	24.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
	47.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
✓	31.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
	47.7%	#s(approx (* (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/ (cos (- a b)) 1/2)) (/.f64 (.f64 (.f64 (.f64 (cos.f64 a) r) b) #s(literal 2 binary64)) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64))))
	58.4%	#s(approx (* (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/ (cos (- a b)) 1/2)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 r (cos.f64 b))) (sin.f64 b)) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))))
	75.0%	#s(approx (* (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/ (cos (- a b)) 1/2)) (/.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)))))

Compiler

Compiled 2 905 to 2 212 computations (23.9% saved)

simplify144.0ms (1.2%)

Memory

6.5MiB live, 125.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r)
cost-diff	0	#s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b))
cost-diff	0	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
cost-diff	0	(cos.f64 a)
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 a))
cost-diff	0	#s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
cost-diff	6848	(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
cost-diff	0	(cos.f64 a)
cost-diff	0	#s(approx (cos (+ a b)) (cos.f64 a))
cost-diff	0	(/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b))
cost-diff	384	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
cost-diff	0	(fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)
cost-diff	0	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
cost-diff	0	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
cost-diff	0	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))

Rules

2 308×	`lower-*.f32`
2 288×	`lower-*.f64`
2 196×	`lower-fma.f32`
2 190×	`lower-fma.f64`
1 852×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	314
0	76	314
1	118	314
2	176	312
3	276	312
4	509	309
5	647	309
6	904	309
7	1192	309
8	1637	309
9	2337	309
10	3639	309
11	5356	309
12	7730	309
0	8083	306

Stop Event

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

Calls

Call 1

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

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

localize287.0ms (2.4%)

Memory

16.8MiB live, 289.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14416754138909577	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.25619125976844204	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
accuracy	3.2859952788396978	(.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r)
accuracy	33.29848358295645	#s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b))
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (cos.f64 a))
accuracy	0.22265625	(pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))
accuracy	0.4951869676315235	(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
accuracy	30.664147003116373	#s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
accuracy	0	(cos.f64 a)
accuracy	0.21484375	(/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b))
accuracy	0.23046875	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
accuracy	30.740569774948657	#s(approx (cos (+ a b)) (cos.f64 a))
accuracy	0.1015625	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
accuracy	7.394432215353248	(.f64 (.f64 a a) r)
accuracy	32.11636604714577	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
accuracy	33.28097108451274	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
accuracy	0.10546875	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.14453125	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
accuracy	0.228847509768442	(*.f64 (sin.f64 a) (sin.f64 b))
accuracy	0.25619125976844204	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))

Samples

229.0ms	186×	1	valid
24.0ms	70×	0	valid

Compiler

Compiled 247 to 43 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-pow: 95.0ms (44% of total)

ival-mult: 31.0ms (14.4% of total)

ival-cos: 24.0ms (11.1% of total)

ival-div: 19.0ms (8.8% of total)

ival-sin: 19.0ms (8.8% of total)

adjust: 12.0ms (5.6% of total)

ival-add: 7.0ms (3.2% of total)

const: 5.0ms (2.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series66.0ms (0.5%)

Memory

-9.6MiB live, 108.6MiB allocated

Counts

24 → 600

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (cos a) (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (pow (cos (+ a b)) -1) (/ 1 (cos a)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (+ (* (* b b) -1/6) 1) (* (sin a) (sin b)) (* (cos b) (cos a)) (* (* a a) r) (pow (* (sin b) r) -1) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))
6.0ms	r	@	0	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (cos a) (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (pow (cos (+ a b)) -1) (/ 1 (cos a)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (+ (* (* b b) -1/6) 1) (* (sin a) (sin b)) (* (cos b) (cos a)) (* (* a a) r) (pow (* (sin b) r) -1) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))
6.0ms	r	@	-inf	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (cos a) (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (pow (cos (+ a b)) -1) (/ 1 (cos a)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (+ (* (* b b) -1/6) 1) (* (sin a) (sin b)) (* (cos b) (cos a)) (* (* a a) r) (pow (* (sin b) r) -1) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))
6.0ms	r	@	inf	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (cos a) (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (pow (cos (+ a b)) -1) (/ 1 (cos a)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (+ (* (* b b) -1/6) 1) (* (sin a) (sin b)) (* (cos b) (cos a)) (* (* a a) r) (pow (* (sin b) r) -1) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))
5.0ms	b	@	inf	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (cos a) (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (pow (cos (+ a b)) -1) (/ 1 (cos a)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (* (+ (* (* b b) -1/6) 1) r) (+ (* (* b b) -1/6) 1) (* (sin a) (sin b)) (* (cos b) (cos a)) (* (* a a) r) (pow (* (sin b) r) -1) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))

simplify218.0ms (1.8%)

Memory

-14.3MiB live, 196.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 574×	`lower-*.f64`
7 574×	`lower-*.f32`
7 142×	`lower-fma.f64`
7 142×	`lower-fma.f32`
2 382×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	467	6835
1	1465	6620
2	4682	6566
0	8031	6309

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 596

Calls

Call 1

Inputs
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* 1/2 (* (pow a 2) r)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (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))))
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)))
(/ 1 (cos b))
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))
1
(+ 1 (* 1/2 (pow a 2)))
(+ 1 (* (pow a 2) (+ 1/2 (* 5/24 (pow a 2)))))
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 5/24 (* 61/720 (pow a 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)))
(* 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) (* -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) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(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 a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(* 1/2 (* (pow a 2) r))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (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)
(cos a)
(cos a)
(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)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(+ (* -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) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(* 1/2 (* (pow a 2) r))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (cos a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ 1 (cos a))
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
r
(+ r (* -1/6 (* (pow b 2) r)))
(+ r (* -1/6 (* (pow b 2) r)))
(+ r (* -1/6 (* (pow b 2) r)))
1
(+ 1 (* -1/6 (pow b 2)))
(+ 1 (* -1/6 (pow b 2)))
(+ 1 (* -1/6 (pow b 2)))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(/ 1 (* b r))
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* -1/6 (* (pow b 2) r))
(* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2))))
(* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2))))
(* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2))))
(* -1/6 (pow b 2))
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6))
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6))
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ (* r (sin b)) (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))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* -1/6 (* (pow b 2) r))
(* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2))))
(* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2))))
(* (pow b 2) (+ (* -1/6 r) (/ r (pow b 2))))
(* -1/6 (pow b 2))
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6))
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6))
(* (pow b 2) (- (/ 1 (pow b 2)) 1/6))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (+ 1 (* -1/6 (pow b 2))))
(* r (+ 1 (* -1/6 (pow b 2))))
(* r (+ 1 (* -1/6 (pow b 2))))
(* r (+ 1 (* -1/6 (pow b 2))))
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (+ 1 (* -1/6 (pow b 2))))
(* r (+ 1 (* -1/6 (pow b 2))))
(* r (+ 1 (* -1/6 (pow b 2))))
(* r (+ 1 (* -1/6 (pow b 2))))
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(* -1 (* r (- (* -1/2 (pow a 2)) 1)))
(* -1 (* r (- (* -1/2 (pow a 2)) 1)))
(* -1 (* r (- (* -1/2 (pow a 2)) 1)))
(* -1 (* r (- (* -1/2 (pow a 2)) 1)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (+ 1 (* -1/6 (pow b 2))))
(* r (+ 1 (* -1/6 (pow b 2))))
(* r (+ 1 (* -1/6 (pow b 2))))
(* r (+ 1 (* -1/6 (pow b 2))))
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))
(/ 1 (* r (sin b)))

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

rewrite234.0ms (1.9%)

Memory

2.7MiB live, 275.9MiB allocated

Rules

5 022×	`lower-fma.f32`
5 016×	`lower-fma.f64`
4 594×	`lower-/.f32`
4 582×	`lower-/.f64`
4 132×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	246
0	76	218
1	265	216
2	1493	216
0	8342	216

Stop Event

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

Counts

24 → 649

Calls

Call 1

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

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

eval277.0ms (2.3%)

Memory: 7.9MiB live, 437.4MiB allocated
Compiler: Compiled 31 247 to 2 759 computations (91.2% saved)

prune205.0ms (1.7%)

Memory

15.9MiB live, 497.2MiB allocated

Pruning

94 alts after pruning (87 fresh and 7 done)

	Pruned	Kept	Total
New	1 383	26	1 409
Fresh	17	61	78
Picked	2	3	5
Done	0	4	4
Total	1 402	94	1 496

Accuracy

100.0%

Counts

1 496 → 94

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	99.2%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 b) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	75.4%	(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))
	74.6%	(/.f64 (.f64 (.f64 (sin.f64 b) r) #s(literal 1 binary64)) (*.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (-.f64 a b)))))
	52.2%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
	49.9%	(/.f64 (.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	56.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b)))))
	60.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
	53.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 a))))
	63.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))
	50.4%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	50.3%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
	75.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.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)))))
	58.7%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 #s(approx (cos (- b a)) (cos.f64 b)) (cos.f64 (+.f64 a b))))))
	58.7%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (- b a)) (cos.f64 b)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	53.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 #s(approx ( (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
✓	75.8%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
	56.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ 1 (/ (cos (- b a)) ( (cos (- b a)) (cos (+ a b))))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	58.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (/ 1 (/ (cos (- b a)) ( (cos (- b a)) (cos (+ a b))))) (cos.f64 b)))
	75.8%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	52.1%	(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r))
	40.9%	(/.f64 #s(approx (pow (cos (+ a b)) -1) (pow.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	26.6%	(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	29.6%	(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r)))))
	47.9%	(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) #s(approx (pow (* (sin b) r) -1) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) r)) b)))
	47.5%	(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) #s(approx (pow (* (sin b) r) -1) (/.f64 #s(literal 1 binary64) (*.f64 b r))))
	35.4%	(/.f64 #s(approx (pow (cos (+ a b)) -1) #s(approx (/ 1 (cos a)) #s(literal 1 binary64))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	48.4%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	47.5%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a))))
	47.4%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	47.7%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
	48.1%	(/.f64 #s(approx (* r (sin b)) (*.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)))
	50.3%	(/.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 b)))
	99.2%	(/.f64 r (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (sin.f64 b)))
	32.2%	(/.f64 r (/.f64 (cos.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (*.f64 (-.f64 a b) (-.f64 a b)))) (sin.f64 b)))
	45.4%	(/.f64 r (/.f64 (cos.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)))) (sin.f64 b)))
	40.2%	(/.f64 r (/.f64 (cos.f64 (.f64 (/.f64 (+.f64 a b) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (-.f64 b a) (pow.f64 (+.f64 a b) #s(literal -1 binary64))))) (sin.f64 b)))
	60.5%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
	58.7%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
✓	52.1%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
	32.5%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sin.f64 b)))
	35.4%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b)))
	52.1%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))))
	48.8%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
	51.9%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
	47.8%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	56.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	51.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
	75.4%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	38.0%	(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	99.3%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))))
	56.3%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
	35.6%	(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (cos.f64 (+.f64 a b))) r)
	99.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
	99.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (pow.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
	76.1%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
	57.9%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 #s(approx (cos (- a b)) (cos.f64 b)) #s(literal 1/2 binary64)))
	75.8%	(.f64 (/.f64 (.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)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
	59.8%	(.f64 (/.f64 (.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)))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
	54.0%	(.f64 (/.f64 (.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)))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
	99.5%	(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
	99.3%	(.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))) r)
✓	75.8%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	58.7%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r)
	99.2%	(.f64 (/.f64 r (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
	52.2%	(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
	75.6%	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 r (cos.f64 (+.f64 a b))))
	75.7%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	52.0%	(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
	75.7%	(.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
	74.6%	(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 a b))) (sin.f64 b)) (/.f64 r (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))))))
	75.7%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	47.5%	(*.f64 #s(approx (pow (/ -1 (neg (sin b))) -1) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (/.f64 r (cos.f64 (+.f64 a b))))
	47.9%	(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
	22.9%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	58.7%	#s(approx (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	47.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	47.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	30.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	30.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	30.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	24.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
✓	24.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
	17.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)))) b))
	10.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
	7.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))) b))
✓	31.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
	47.7%	#s(approx (* (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/ (cos (- a b)) 1/2)) (/.f64 (.f64 (.f64 (.f64 (cos.f64 a) r) b) #s(literal 2 binary64)) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64))))
	58.4%	#s(approx (* (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/ (cos (- a b)) 1/2)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 r (cos.f64 b))) (sin.f64 b)) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))))
	75.0%	#s(approx (* (/ (* (sin b) r) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/ (cos (- a b)) 1/2)) (/.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)))))

Compiler

Compiled 4 502 to 1 859 computations (58.7% saved)

regimes233.0ms (1.9%)

Memory

25.1MiB live, 486.4MiB allocated

Counts

159 → 1

Calls

Call 1

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

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

Calls

4 calls:

83.0ms	r
48.0ms	b
47.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
46.0ms	a

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes167.0ms (1.4%)

Memory

-45.2MiB live, 332.9MiB allocated

Counts

131 → 1

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
39.0ms	b
37.0ms	a
37.0ms	r

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes191.0ms (1.6%)

Memory

0.9MiB live, 237.2MiB allocated

Counts

130 → 1

Calls

Call 1

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

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

Calls

4 calls:

67.0ms	a
40.0ms	r
38.0ms	b
36.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes164.0ms (1.3%)

Memory

-15.0MiB live, 236.9MiB allocated

Counts

129 → 1

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	a
37.0ms	b
36.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
35.0ms	r

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes150.0ms (1.2%)

Memory

26.3MiB live, 300.6MiB allocated

Counts

120 → 1

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	r
37.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
36.0ms	b
33.0ms	a

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes48.0ms (0.4%)

Memory

13.3MiB live, 90.7MiB allocated

Counts

38 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes49.0ms (0.4%)

Memory

-13.9MiB live, 106.5MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes51.0ms (0.4%)

Memory

-13.9MiB live, 75.5MiB allocated

Counts

36 → 3

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	r
13.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
10.0ms	b
10.0ms	a

Results

Accuracy	Segments	Branch
63.1%	3	`r`
75.6%	3	`a`
75.6%	3	`b`
61.9%	3	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes21.0ms (0.2%)

Memory

-7.6MiB live, 30.3MiB allocated

Counts

31 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	b
9.0ms	a

Results

Accuracy	Segments	Branch
75.5%	3	`b`
75.5%	3	`a`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

30 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
75.5%	3	`a`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
75.5%	3	`a`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes19.0ms (0.2%)

Memory

-12.5MiB live, 26.1MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

8.0ms	a
8.0ms	b

Results

Accuracy	Segments	Branch
75.5%	3	`b`
75.5%	3	`a`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes19.0ms (0.2%)

Memory

1.2MiB live, 38.5MiB allocated

Counts

27 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	b
8.0ms	a

Results

Accuracy	Segments	Branch
75.5%	3	`b`
73.5%	3	`a`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes49.0ms (0.4%)

Memory

-22.4MiB live, 61.1MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

23.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
9.0ms	a
8.0ms	r
8.0ms	b

Results

Accuracy	Segments	Branch
48.1%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
48.1%	1	`r`
48.1%	1	`a`
52.3%	3	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
52.3%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes16.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.1%	1	`a`
48.1%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
48.1%	1	`b`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes23.0ms (0.2%)

Memory

-1.3MiB live, 37.1MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	b
4.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms	a
4.0ms	r

Results

Accuracy	Segments	Branch
47.9%	1	`r`
47.9%	1	`a`
47.9%	1	`b`
47.9%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes15.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.9%	1	`r`
47.9%	1	`a`
47.9%	1	`b`
47.9%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes22.0ms (0.2%)

Memory

-6.1MiB live, 32.8MiB allocated

Accuracy

Total -18.0b remaining (-40.9%)

Threshold costs -18b (-40.9%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms	a
3.0ms	b
3.0ms	r

Results

Accuracy	Segments	Branch
31.4%	1	`r`
31.4%	1	`a`
31.4%	1	`b`
31.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch42.0ms (0.3%)

Memory

-8.0MiB live, 36.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.3669520981932073e-5	6.882912273739782e-5
25.0ms	-0.00031017087080591145	-1.3508834755954175e-6

Samples

17.0ms	108×	1	valid
6.0ms	100×	0	valid

Compiler

Compiled 220 to 248 computations (-12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sin: 5.0ms (31% of total)

ival-cos: 5.0ms (31% of total)

ival-add: 2.0ms (12.4% of total)

adjust: 2.0ms (12.4% of total)

ival-div: 1.0ms (6.2% of total)

ival-mult: 1.0ms (6.2% of total)

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

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

bsearch2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3669520981932073e-5	6.882912273739782e-5
1.0ms	-0.00031017087080591145	-1.3508834755954175e-6

Compiler

Compiled 220 to 248 computations (-12.7% saved)

bsearch2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3669520981932073e-5	6.882912273739782e-5
1.0ms	-0.00031017087080591145	-1.3508834755954175e-6

Compiler

Compiled 220 to 248 computations (-12.7% saved)

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.3669520981932073e-5	6.882912273739782e-5
1.0ms	-0.00031017087080591145	-1.3508834755954175e-6

Compiler

Compiled 220 to 248 computations (-12.7% saved)

bsearch2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.3669520981932073e-5	6.882912273739782e-5
1.0ms	-0.00031017087080591145	-1.3508834755954175e-6

Compiler

Compiled 220 to 248 computations (-12.7% saved)

bsearch60.0ms (0.5%)

Memory

5.7MiB live, 43.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.2355399954746e-19	2.7420096576132985e-17
41.0ms	-29504321126865863000.0	-302364531941.4931

Samples

39.0ms	168×	1	valid
7.0ms	88×	0	valid

Compiler

Compiled 380 to 382 computations (-0.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sin: 20.0ms (53% of total)

ival-cos: 9.0ms (23.8% of total)

adjust: 3.0ms (7.9% of total)

ival-add: 2.0ms (5.3% of total)

ival-div: 2.0ms (5.3% of total)

ival-mult: 2.0ms (5.3% of total)

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

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

bsearch42.0ms (0.3%)

Memory

-9.5MiB live, 28.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2355399954746e-19	2.7420096576132985e-17
39.0ms	-29504321126865863000.0	-302364531941.4931

Samples

15.0ms	90×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 380 to 398 computations (-4.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 4.0ms (32.1% of total)

ival-cos: 4.0ms (32.1% of total)

adjust: 2.0ms (16.1% of total)

ival-add: 1.0ms (8% of total)

ival-div: 1.0ms (8% of total)

ival-mult: 1.0ms (8% of total)

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

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

bsearch45.0ms (0.4%)

Memory

-1.6MiB live, 37.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	5253180498.999554	1405340640158660900.0
1.0ms	-29504321126865863000.0	-302364531941.4931

Samples

35.0ms	137×	1	valid
1.0ms	7×	0	valid

Compiler

Compiled 318 to 356 computations (-11.9% saved)

Precisions

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

ival-cos: 20.0ms (64.4% of total)

ival-sin: 5.0ms (16.1% of total)

adjust: 2.0ms (6.4% of total)

ival-add: 1.0ms (3.2% of total)

ival-div: 1.0ms (3.2% of total)

ival-mult: 1.0ms (3.2% of total)

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

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

simplify90.0ms (0.7%)

Memory

-22.6MiB live, 60.7MiB allocated

Algorithm

1×	egg-herbie

Rules

550×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
396×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
368×	`neg-mul-1-binary64-*.f64-neg.f64`
326×	`cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64`
324×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	588
1	159	588
2	185	588
3	211	588
4	250	588
5	320	588
6	408	588
7	571	588
8	713	588
9	847	588
10	1077	588
11	1296	588
12	1519	588
13	1716	588
14	1833	588
15	1888	588
16	1919	588
17	1941	588
18	1949	588
19	1952	588

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 a #s(literal -2674777890687885/18446744073709551616 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4574792530279969/73786976294838206464 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -2674777890687885/18446744073709551616 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4574792530279969/73786976294838206464 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) (*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -2674777890687885/18446744073709551616 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 4574792530279969/73786976294838206464 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) (*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -2674777890687885/18446744073709551616 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 4574792530279969/73786976294838206464 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -2674777890687885/18446744073709551616 binary64)) (.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 4574792530279969/73786976294838206464 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 b #s(literal -310000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -3200000000000 binary64)) (/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b))) (if (<=.f64 b #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b)))))
(if (<=.f64 b #s(literal -320000000000 binary64)) (/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b))) (if (<=.f64 b #s(literal 980000000000000 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Outputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)) (/.f64 (.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 a #s(literal -2674777890687885/18446744073709551616 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4574792530279969/73786976294838206464 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -2674777890687885/18446744073709551616 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4574792530279969/73786976294838206464 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) (*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -2674777890687885/18446744073709551616 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4574792530279969/73786976294838206464 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) (*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -2674777890687885/18446744073709551616 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4574792530279969/73786976294838206464 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) (*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -2674777890687885/18446744073709551616 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 4574792530279969/73786976294838206464 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) (*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -2674777890687885/18446744073709551616 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 4574792530279969/73786976294838206464 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -2674777890687885/18446744073709551616 binary64)) (.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 4574792530279969/73786976294838206464 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 b #s(literal -310000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -3200000000000 binary64)) (/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b))) (if (<=.f64 b #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b)))))
(if (<=.f64 b #s(literal -320000000000 binary64)) (/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b))) (if (<=.f64 b #s(literal 980000000000000 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

soundness2.3s (18.6%)

Memory

8.6MiB live, 1 089.7MiB allocated

Rules

11 070×	`lower-fma.f64`
11 070×	`lower-fma.f32`
10 934×	`lower-fma.f64`
10 934×	`lower-fma.f32`
9 090×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	246
0	76	218
1	265	216
2	1493	216
0	8342	216
0	467	6835
1	1465	6620
2	4682	6566
0	8031	6309
0	633	7512
1	2014	7274
2	6368	7193
0	8147	6989
0	167	960
1	517	928
2	1602	886
3	5424	885
0	8361	853
0	36	179
0	62	178
1	218	129
2	1373	129
0	8222	129
0	48	210
0	82	221
1	316	173
2	2476	173
0	8341	169
0	522	6525
1	1675	6172
2	5386	6055
0	8550	5840
0	8	19
0	13	19
1	44	19
2	234	19
3	2050	19
0	8441	19

Stop Event

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

Compiler

Compiled 1 196 to 652 computations (45.5% saved)

preprocess244.0ms (2%)

Memory: 5.7MiB live, 277.3MiB allocated
Remove: (negabs r)
Compiler: Compiled 1 048 to 390 computations (62.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze301.0ms (2.5%)

sample2.3s (19.3%)

explain139.0ms (1.1%)

preprocess119.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize42.0ms (0.3%)

series16.0ms (0.1%)

simplify154.0ms (1.3%)

rewrite195.0ms (1.6%)

eval42.0ms (0.3%)

prune45.0ms (0.4%)

simplify97.0ms (0.8%)

localize399.0ms (3.3%)

series68.0ms (0.6%)

simplify188.0ms (1.5%)

rewrite288.0ms (2.4%)

eval467.0ms (3.9%)

prune279.0ms (2.3%)

simplify101.0ms (0.8%)

localize309.0ms (2.6%)

series144.0ms (1.2%)

simplify262.0ms (2.2%)

rewrite212.0ms (1.7%)

eval252.0ms (2.1%)

prune175.0ms (1.4%)

simplify144.0ms (1.2%)

localize287.0ms (2.4%)

series66.0ms (0.5%)

simplify218.0ms (1.8%)

rewrite234.0ms (1.9%)

eval277.0ms (2.3%)

prune205.0ms (1.7%)

regimes233.0ms (1.9%)

regimes167.0ms (1.4%)

regimes191.0ms (1.6%)

regimes164.0ms (1.3%)

regimes150.0ms (1.2%)

regimes48.0ms (0.4%)

regimes49.0ms (0.4%)

regimes51.0ms (0.4%)

regimes21.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes19.0ms (0.2%)

regimes19.0ms (0.2%)

regimes49.0ms (0.4%)

regimes7.0ms (0.1%)

regimes16.0ms (0.1%)

regimes23.0ms (0.2%)

regimes15.0ms (0.1%)

regimes22.0ms (0.2%)

bsearch42.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch60.0ms (0.5%)

bsearch42.0ms (0.3%)

bsearch45.0ms (0.4%)

simplify90.0ms (0.7%)

soundness2.3s (18.6%)

preprocess244.0ms (2%)

end0.0ms (0%)

Profiling