Metrics for rsin A (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze240.0ms (2.2%)

Memory

30.8MiB live, 421.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (16.7%)

Memory

11.0MiB live, 1 889.0MiB allocated

Samples

1.2s	5 845×	1	valid
285.0ms	2 411×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-sin: 313.0ms (30.7% of total)

ival-cos: 278.0ms (27.3% of total)

ival-mult: 124.0ms (12.2% of total)

adjust: 121.0ms (11.9% of total)

ival-add: 92.0ms (9% of total)

ival-div: 80.0ms (7.9% of total)

ival-true: 7.0ms (0.7% of total)

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

Bogosity

explain137.0ms (1.3%)

Memory

-21.0MiB live, 192.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
78	110	(-5.751385527558951e+280 -1.5877958952191294e+267 -9.831235479942062e-305)	-	`(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	188	0

Confusion

	Predicted +	Predicted -
+	78	0
-	110	68

Precision

0.4148936170212766

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	110	0	68

Precision?

0.4148936170212766

Recall?

1.0

Freqs

test

number	freq
0	68
1	188

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms	352×	1	valid
14.0ms	160×	0	valid

Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions

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

ival-cos: 18.0ms (32.9% of total)

ival-sin: 12.0ms (22% of total)

adjust: 11.0ms (20.1% of total)

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

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

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

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

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

preprocess111.0ms (1%)

Memory

-6.2MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.6%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

4.9MiB live, 4.9MiB 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

localize54.0ms (0.5%)

Memory

15.4MiB live, 52.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 b)
accuracy	0.1484375	(*.f64 r (sin.f64 b))
accuracy	0.23894501953688402	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy	16.83637547290879	(cos.f64 (+.f64 a b))

Samples

42.0ms	176×	1	valid
6.0ms	80×	0	valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-cos: 8.0ms (33.7% of total)

ival-sin: 6.0ms (25.3% of total)

adjust: 3.0ms (12.6% of total)

ival-add: 2.0ms (8.4% of total)

ival-div: 2.0ms (8.4% of total)

ival-mult: 2.0ms (8.4% of total)

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

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

series16.0ms (0.1%)

Memory

-18.0MiB live, 20.2MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify191.0ms (1.8%)

Memory

26.9MiB live, 173.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	960
1	517	928
2	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)

rewrite208.0ms (1.9%)

Memory

12.3MiB live, 205.4MiB 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
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eval60.0ms (0.6%)

Memory: -26.9MiB live, 60.6MiB allocated
Compiler: Compiled 3 824 to 548 computations (85.7% saved)

prune72.0ms (0.7%)

Memory

-7.4MiB live, 115.2MiB allocated

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	198	35	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	199	35	234

Accuracy

99.8%

Counts

234 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.9%	(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	31.5%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64))
▶	73.1%	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
▶	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.2%	(/.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)))))))
	73.5%	(/.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))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	51.5%	(/.f64 (.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))
	60.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
	47.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))))
▶	47.6%	(/.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))))
	60.9%	(/.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))))
	48.4%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	61.0%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	62.3%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	50.4%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	46.5%	(/.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)))
	46.4%	(/.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)))
	46.6%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
▶	73.6%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	73.1%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	73.4%	(*.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)))
	73.4%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	73.6%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	73.5%	(*.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)))
	75.7%	(.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))))
	73.5%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	73.6%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	73.6%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	73.5%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	31.5%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	46.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b))
	62.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
▶	46.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))

Compiler

Compiled 1 154 to 862 computations (25.3% saved)

simplify209.0ms (2%)

Memory

35.1MiB live, 254.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#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)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.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))))
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 (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	6336	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Rules

15 996×	`lower-fma.f32`
15 992×	`lower-fma.f64`
2 740×	`lower-*.f32`
2 728×	`lower-*.f64`
2 420×	`lower-+.f32`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	36	238
0	63	234
1	96	234
2	145	234
3	235	234
4	374	234
5	564	234
6	992	234
7	1705	234
8	2692	234
9	4482	231
10	5679	231
11	6403	231
12	6652	231
13	6790	231
14	7964	231
0	8376	231

Stop Event

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

Calls

Call 1

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

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

localize297.0ms (2.8%)

Memory

-9.8MiB live, 422.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
accuracy	0.1484375	(*.f64 r (sin.f64 b))
accuracy	0.23894501953688402	(/.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))))
accuracy	34.0729077811978	#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)))
accuracy	0.1484375	(*.f64 (sin.f64 b) r)
accuracy	0.25390625	(pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))
accuracy	0.5496461259981734	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
accuracy	16.83637547290879	(cos.f64 (+.f64 a b))
accuracy	0	(sin.f64 b)
accuracy	0.26953125	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
accuracy	0.27734375	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
accuracy	16.83637547290879	(cos.f64 (+.f64 a b))
accuracy	0	(cos.f64 a)
accuracy	0.09375	(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy	0.1484375	(/.f64 r (cos.f64 a))
accuracy	34.0086500332271	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy	0.09375	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.13891500946961358	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.1484375	(*.f64 r (sin.f64 b))
accuracy	0.23894501953688402	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

200.0ms	176×	1	valid
67.0ms	80×	0	valid

Compiler

Compiled 208 to 33 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

adjust: 56.0ms (23.9% of total)

ival-cos: 41.0ms (17.5% of total)

ival-mult: 38.0ms (16.2% of total)

ival-sub: 32.0ms (13.6% of total)

ival-pow: 22.0ms (9.4% of total)

ival-sin: 20.0ms (8.5% of total)

ival-div: 15.0ms (6.4% of total)

ival-add: 8.0ms (3.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (0.6%)

Memory

10.2MiB live, 204.8MiB allocated

Counts

20 → 528

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	a	@	-inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ 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) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (pow (* (sin b) r) -1) (* (sin b) r) (* (* (cos a) -1/2) b))
8.0ms	r	@	0	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ 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) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (pow (* (sin b) r) -1) (* (sin b) r) (* (* (cos a) -1/2) 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) (/ 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) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (pow (* (sin b) r) -1) (* (sin b) r) (* (* (cos a) -1/2) b))
6.0ms	r	@	-inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ 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) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (pow (* (sin b) r) -1) (* (sin b) r) (* (* (cos a) -1/2) b))
5.0ms	a	@	inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ 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) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (pow (* (sin b) r) -1) (* (sin b) r) (* (* (cos a) -1/2) b))

simplify282.0ms (2.6%)

Memory

-15.1MiB live, 284.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 590×	`lower-fma.f64`
8 590×	`lower-fma.f32`
7 614×	`lower-*.f64`
7 614×	`lower-*.f32`
2 778×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	5913
1	1325	5662
2	4249	5608
0	8533	5402

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 520

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)))
(/ (* 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))))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 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))))
(+ (* -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)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -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))))
(/ (* 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)))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b 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)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(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)
(* 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)))))))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* 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)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(* (cos a) (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)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* 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))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(* (cos a) (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)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* 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))
(* r (sin b))
(* r (sin b))
(* 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))
(* r (sin b))
(* r (sin b))
(* 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))
(* r (sin b))
(* r (sin b))
(* 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))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b))))) a)) a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.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))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b))))) a)) a))
(* b r)
(*.f64 b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) r (.f64 (.f64 #s(literal 5/24 binary64) (.f64 b r)) (.f64 a a))) (.f64 a a) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) r (.f64 (fma.f64 (.f64 (fma.f64 (.f64 b r) #s(literal 7/360 binary64) (.f64 (.f64 b r) #s(literal -5/48 binary64))) a) (neg.f64 a) (.f64 #s(literal 5/24 binary64) (.f64 b r))) (.f64 a a))) (.f64 a a) (*.f64 b r))
r
(+ r (* 1/2 (* (pow a 2) r)))
(fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (.f64 a a) r)
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 r #s(literal 7/360 binary64) (.f64 r #s(literal -5/48 binary64))) a) (neg.f64 a) (.f64 #s(literal 5/24 binary64) r)) (.f64 a a) (.f64 #s(literal 1/2 binary64) r)) (.f64 a a) r)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.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))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
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(/ (* r (sin b)) (+ (* -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))
(*.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)) (+ (* -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))
(*.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)) (+ (* -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))
(*.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)

rewrite168.0ms (1.6%)

Memory

17.1MiB live, 327.6MiB allocated

Rules

4 548×	`lower-*.f32`
4 536×	`lower-*.f64`
4 438×	`lower-/.f32`
4 426×	`lower-/.f64`
3 324×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	165
0	63	182
1	214	147
2	1263	147
0	8472	147

Stop Event

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

Counts

20 → 860

Calls

Call 1

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

Outputs
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eval255.0ms (2.4%)

Memory: 3.9MiB live, 509.7MiB allocated
Compiler: Compiled 36 528 to 2 885 computations (92.1% saved)

prune124.0ms (1.2%)

Memory

1.7MiB live, 277.1MiB allocated

Pruning

73 alts after pruning (71 fresh and 2 done)

	Pruned	Kept	Total
New	1 683	61	1 744
Fresh	20	10	30
Picked	3	2	5
Done	0	0	0
Total	1 706	73	1 779

Accuracy

100.0%

Counts

1 779 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(/.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)))
	51.5%	(/.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 b) r) #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))))
	50.9%	(/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	29.6%	(/.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)))
	72.9%	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (pow.f64 r #s(literal -1 binary64))))
	47.0%	(/.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)))
	99.3%	(/.f64 (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
	73.5%	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))
	73.5%	(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
	73.1%	(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	60.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
▶	60.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	64.0%	(/.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))))
	51.9%	(/.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))))
▶	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	55.6%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	99.2%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))))
	99.1%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	60.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
▶	62.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
	50.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
	47.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))
	73.6%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	61.9%	(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	49.9%	(/.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)))
	46.4%	(/.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)))
	46.6%	(/.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 (neg.f64 (sin.f64 a)) (sin.f64 b))) (sin.f64 b)))
	55.5%	(/.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 b)))
	85.8%	(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
	99.1%	(/.f64 r (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (.f64 (neg.f64 (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))
	44.3%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 b)))
	67.3%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
	63.1%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)))
	62.3%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	50.3%	(/.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))))
	73.5%	(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	47.7%	(/.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)))
	50.3%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
	46.7%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	61.0%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	73.0%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))))
	73.1%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	73.6%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	73.6%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	73.4%	(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	73.6%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	73.3%	(*.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))))
	73.5%	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
	73.5%	(.f64 (sin.f64 b) (pow.f64 (.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
	73.5%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	31.5%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	62.3%	#s(approx (/ (pow (cos (+ a b)) -1) (pow (* (sin b) r) -1)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	46.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	46.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
	46.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
▶	46.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
✓	46.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	35.4%	#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))
	35.4%	#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))
	35.6%	#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))
	46.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
	46.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	46.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
	28.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
	29.3%	#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))
▶	35.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 199 to 1 727 computations (21.5% saved)

simplify230.0ms (2.2%)

Memory

10.5MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
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) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
cost-diff	0	(pow.f64 (cos.f64 a) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
cost-diff	6080	(*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64))))
cost-diff	6848	(/.f64 b (pow.f64 r #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
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 (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

2 168×	`lower-fma.f32`
2 162×	`lower-fma.f64`
1 704×	`lower-*.f32`
1 692×	`lower-*.f64`
1 006×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	268
0	72	264
1	111	264
2	153	256
3	213	256
4	304	256
5	443	256
6	745	256
7	1430	256
8	1904	256
9	2949	256
10	3600	256
11	4351	256
12	5033	256
13	5181	256
14	5210	256
15	5231	256
16	5264	256
17	5465	256
18	5631	256
19	5658	256
20	5675	256
21	5680	256
22	5683	256
23	5691	256
0	5691	256

Stop Event

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

localize507.0ms (4.7%)

Memory

-110.1MiB live, 432.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.13891500946961358	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
accuracy	0.1484375	(*.f64 r (sin.f64 b))
accuracy	0.23894501953688402	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
accuracy	29.807549321460208	#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.09375	(pow.f64 (cos.f64 a) #s(literal -1 binary64))
accuracy	0.1484375	(*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64))))
accuracy	0.1875	(/.f64 b (pow.f64 r #s(literal -1 binary64)))
accuracy	34.0086500332271	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
accuracy	0	(cos.f64 b)
accuracy	0.1484375	(*.f64 r (sin.f64 b))
accuracy	0.23894501953688402	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
accuracy	28.00521653971828	#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))
accuracy	0	(*.f64 b r)
accuracy	22.272937039354428	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy	34.0086500332271	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy	0.1484375	(*.f64 r (sin.f64 b))
accuracy	0.1496062813218253	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy	0.1796875	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy	0.23894501953688402	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

Samples

201.0ms	175×	1	valid
22.0ms	81×	0	valid

Compiler

Compiled 215 to 35 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-cos: 66.0ms (39.3% of total)

ival-mult: 40.0ms (23.8% of total)

ival-sin: 15.0ms (8.9% of total)

ival-add: 13.0ms (7.7% of total)

ival-div: 12.0ms (7.2% of total)

adjust: 10.0ms (6% of total)

ival-pow: 8.0ms (4.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory

34.0MiB live, 154.1MiB allocated

Counts

18 → 468

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	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) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ b (pow r -1)) (* (pow (cos a) -1) (/ b (pow r -1))) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin b)) (sin a)) (cos b) (cos a))
6.0ms	r	@	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) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ b (pow r -1)) (* (pow (cos a) -1) (/ b (pow r -1))) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin b)) (sin a)) (cos b) (cos a))
4.0ms	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) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ b (pow r -1)) (* (pow (cos a) -1) (/ b (pow r -1))) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin b)) (sin a)) (cos b) (cos a))
4.0ms	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) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ b (pow r -1)) (* (pow (cos a) -1) (/ b (pow r -1))) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin b)) (sin a)) (cos b) (cos a))
3.0ms	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) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ b (pow r -1)) (* (pow (cos a) -1) (/ b (pow r -1))) (/ (* r (sin b)) (cos (+ a b))) (pow (cos a) -1) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin b)) (sin a)) (cos b) (cos a))

simplify254.0ms (2.4%)

Memory

-42.1MiB live, 287.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 480×	`lower-fma.f64`
13 480×	`lower-fma.f32`
6 568×	`lower-*.f64`
6 568×	`lower-*.f32`
3 914×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	5884
1	900	5558
2	2988	5358
0	8234	5220

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 467

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

Outputs
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 a) (.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 (fma.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (.f64 (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 (.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a))) a)) a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 a) (.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 (fma.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (.f64 (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 (.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a))) a)) a))
(* b r)
(*.f64 b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (neg.f64 (.f64 (.f64 b r) (fma.f64 #s(literal -5/24 binary64) (.f64 a a) #s(literal -1/2 binary64)))) (.f64 a a) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) r) b (.f64 (fma.f64 (.f64 (.f64 (.f64 b r) #s(literal -61/720 binary64)) a) (neg.f64 a) (.f64 #s(literal 5/24 binary64) (.f64 b r))) (.f64 a a))) (.f64 a a) (.f64 b r))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 a) (.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 (fma.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (.f64 (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 (.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a))) a)) a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
(* b r)
(*.f64 b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (neg.f64 (.f64 (.f64 b r) (fma.f64 #s(literal -5/24 binary64) (.f64 a a) #s(literal -1/2 binary64)))) (.f64 a a) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) r) b (.f64 (fma.f64 (.f64 (.f64 (.f64 b r) #s(literal -61/720 binary64)) a) (neg.f64 a) (.f64 #s(literal 5/24 binary64) (.f64 b r))) (.f64 a a))) (.f64 a a) (.f64 b r))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 a) (.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 (fma.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (.f64 (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 (.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a))) a)) a))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (+ 1/2 (* 5/24 (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 a a) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 5/24 (* 61/720 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (.f64 a a) #s(literal 5/24 binary64)) (.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
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(+ (* 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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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(* r (sin b))
(*.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)
(* b r)
(*.f64 b r)
(* b r)
(*.f64 b r)
(* b r)
(*.f64 b r)
(* b r)
(*.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)))))
(* b r)
(*.f64 b r)
(* b r)
(*.f64 b r)
(* b r)
(*.f64 b r)
(* b r)
(*.f64 b r)
(/ (* 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 (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))

rewrite160.0ms (1.5%)

Memory

28.7MiB live, 292.3MiB allocated

Rules

4 972×	`lower-*.f32`
4 960×	`lower-*.f64`
4 912×	`lower-/.f32`
4 904×	`lower-/.f64`
4 064×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	198
0	72	194
1	232	158
2	1386	158
0	8318	158

Stop Event

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

Counts

18 → 533

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

Outputs
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eval264.0ms (2.5%)

Memory: 3.1MiB live, 404.2MiB allocated
Compiler: Compiled 22 159 to 2 007 computations (90.9% saved)

prune195.0ms (1.8%)

Memory

7.5MiB live, 321.3MiB allocated

Pruning

82 alts after pruning (76 fresh and 6 done)

	Pruned	Kept	Total
New	1 102	24	1 126
Fresh	14	52	66
Picked	1	4	5
Done	0	2	2
Total	1 117	82	1 199

Accuracy

100.0%

Counts

1 199 → 82

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(/.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)))
	51.5%	(/.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 b) r) #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))))
	50.9%	(/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	29.6%	(/.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)))
	72.9%	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (pow.f64 r #s(literal -1 binary64))))
	73.4%	(/.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))
	99.3%	(/.f64 (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
	73.5%	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))
	73.5%	(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
	73.1%	(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))
	62.3%	(/.f64 (.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) r))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
▶	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
✓	60.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	64.0%	(/.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))))
	51.9%	(/.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))))
	54.2%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	62.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 a (sin.f64 b)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))))))
	66.3%	(/.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)))))
▶	51.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	55.6%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	99.1%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
✓	62.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
	50.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
▶	36.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
	36.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64)))))
	36.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	40.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
	47.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))
	73.6%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	62.2%	(/.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
	49.9%	(/.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)))
	46.4%	(/.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)))
	35.5%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
	46.6%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	35.7%	(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 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 (neg.f64 (sin.f64 a)) (sin.f64 b))) (sin.f64 b)))
	55.5%	(/.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 b)))
	85.8%	(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
	99.1%	(/.f64 r (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (.f64 (neg.f64 (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))
	44.3%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 b)))
	67.3%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
	63.1%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)))
	62.3%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	50.3%	(/.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))))
	73.5%	(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	47.7%	(/.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)))
	50.3%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
	61.0%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	73.0%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))))
	61.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
	73.6%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	62.3%	(.f64 (pow.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
	73.6%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	62.3%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)
▶	73.4%	(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	99.2%	(.f64 (/.f64 r (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
	73.6%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	73.5%	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
	73.6%	(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
	73.5%	(.f64 (sin.f64 b) (pow.f64 (.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
	62.3%	(.f64 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
	73.5%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	28.4%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	46.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)))
	46.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64)))))
✓	46.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	35.4%	#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))
	35.4%	#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))
	35.6%	#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))
	46.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
	46.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
	28.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
▶	29.3%	#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))
	35.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
	35.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
✓	35.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 447 to 1 927 computations (21.3% saved)

simplify152.0ms (1.4%)

Memory

2.4MiB live, 94.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (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	6336	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
cost-diff	0	(neg.f64 r)
cost-diff	0	(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))
cost-diff	256	(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
cost-diff	0	#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)
cost-diff	0	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
cost-diff	0	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	6336	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))))))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))

Rules

5 504×	`lower-fma.f32`
5 492×	`lower-fma.f64`
2 192×	`lower-*.f32`
2 176×	`lower-*.f64`
1 466×	`div-sub`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	58	388
0	98	390
1	161	364
2	280	362
3	616	362
4	1162	362
5	2518	362
6	4413	362
7	6072	362
8	6785	362
9	7092	362
10	7428	362
11	7458	362
12	7569	356
0	8180	356

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

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

localize336.0ms (3.1%)

Memory

17.2MiB live, 589.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1496062813218253	(fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy	0.1796875	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy	0.23894501953688402	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
accuracy	31.543815487779383	#s(approx (cos b) #s(literal 1 binary64))
accuracy	0.2109375	(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))
accuracy	0.23828125	(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
accuracy	0.503925131910701	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
accuracy	16.83637547290879	(cos.f64 (+.f64 a b))
accuracy	0.23894501953688402	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
accuracy	0.5304192695080301	(fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
accuracy	28.00521653971828	#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))
accuracy	34.10559723311084	#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
accuracy	0.09375	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
accuracy	8.397292482186646	(.f64 (.f64 a a) r)
accuracy	29.67732464065198	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
accuracy	34.0086500332271	#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	0.13891500946961358	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))
accuracy	0.1484375	(*.f64 r (sin.f64 b))
accuracy	0.23894501953688402	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))))))

Samples

211.0ms	175×	1	valid
67.0ms	81×	0	valid

Compiler

Compiled 304 to 51 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-sin: 51.0ms (22.4% of total)

ival-pow: 41.0ms (18% of total)

ival-mult: 37.0ms (16.3% of total)

ival-cos: 29.0ms (12.7% of total)

ival-div: 24.0ms (10.5% of total)

adjust: 16.0ms (7% of total)

ival-add: 15.0ms (6.6% of total)

const: 11.0ms (4.8% of total)

ival-neg: 4.0ms (1.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series125.0ms (1.2%)

Memory

-22.1MiB live, 139.1MiB allocated

Counts

23 → 552

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	a	@	inf	((/ 1 (pow (cos a) -1)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1))))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ 1 (/ -1 (sin b))) (* (/ (neg r) (cos (+ a b))) (/ 1 (/ -1 (sin b)))) (/ (neg r) (cos (+ a b))) (neg r) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1)))) (* (* a a) r) (cos b) (+ (* (* b b) -1/720) 1/24) (cos (+ a b)) (cos b) (* (neg (sin b)) (sin a)))
11.0ms	r	@	inf	((/ 1 (pow (cos a) -1)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1))))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ 1 (/ -1 (sin b))) (* (/ (neg r) (cos (+ a b))) (/ 1 (/ -1 (sin b)))) (/ (neg r) (cos (+ a b))) (neg r) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1)))) (* (* a a) r) (cos b) (+ (* (* b b) -1/720) 1/24) (cos (+ a b)) (cos b) (* (neg (sin b)) (sin a)))
6.0ms	r	@	-inf	((/ 1 (pow (cos a) -1)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1))))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ 1 (/ -1 (sin b))) (* (/ (neg r) (cos (+ a b))) (/ 1 (/ -1 (sin b)))) (/ (neg r) (cos (+ a b))) (neg r) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1)))) (* (* a a) r) (cos b) (+ (* (* b b) -1/720) 1/24) (cos (+ a b)) (cos b) (* (neg (sin b)) (sin a)))
5.0ms	r	@	0	((/ 1 (pow (cos a) -1)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1))))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ 1 (/ -1 (sin b))) (* (/ (neg r) (cos (+ a b))) (/ 1 (/ -1 (sin b)))) (/ (neg r) (cos (+ a b))) (neg r) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1)))) (* (* a a) r) (cos b) (+ (* (* b b) -1/720) 1/24) (cos (+ a b)) (cos b) (* (neg (sin b)) (sin a)))
3.0ms	b	@	-inf	((/ 1 (pow (cos a) -1)) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1))))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ 1 (/ -1 (sin b))) (* (/ (neg r) (cos (+ a b))) (/ 1 (/ -1 (sin b)))) (/ (neg r) (cos (+ a b))) (neg r) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (+ (* (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1)))) (* (* a a) r) (cos b) (+ (* (* b b) -1/720) 1/24) (cos (+ a b)) (cos b) (* (neg (sin b)) (sin a)))

simplify210.0ms (2%)

Memory

36.2MiB live, 309.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 890×	`lower-fma.f64`
10 890×	`lower-fma.f32`
7 948×	`lower-*.f64`
7 948×	`lower-*.f32`
3 622×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	386	6769
1	1251	6429
2	4097	6377
0	8866	6170

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 549

Calls

Call 1

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

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

rewrite223.0ms (2.1%)

Memory

-9.9MiB live, 286.0MiB allocated

Rules

5 412×	`lower-fma.f32`
5 400×	`lower-fma.f64`
4 594×	`lower-*.f32`
4 578×	`lower-*.f64`
3 992×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	281
0	98	285
1	342	231
2	2180	231
0	8640	231

Stop Event

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

Counts

23 → 906

Calls

Call 1

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

Outputs
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eval261.0ms (2.4%)

Memory: 4.7MiB live, 497.6MiB allocated
Compiler: Compiled 35 635 to 2 904 computations (91.9% saved)

prune242.0ms (2.3%)

Memory

-29.3MiB live, 394.1MiB allocated

Pruning

97 alts after pruning (89 fresh and 8 done)

	Pruned	Kept	Total
New	1 537	30	1 567
Fresh	12	59	71
Picked	3	2	5
Done	0	6	6
Total	1 552	97	1 649

Accuracy

100.0%

Counts

1 649 → 97

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(/.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)))
	51.5%	(/.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 b) r) #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))))
	50.9%	(/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
	29.6%	(/.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)))
	72.9%	(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (pow.f64 r #s(literal -1 binary64))))
	73.4%	(/.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))
	99.3%	(/.f64 (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
	73.5%	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))
	73.5%	(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
	73.5%	(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))
	73.1%	(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))
	62.3%	(/.f64 (.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) r))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64) (.f64 (cos.f64 b) (cos.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 (cos.f64 b) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 a)) #s(literal -1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	76.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 2 binary64)))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 a))))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
✓	60.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	64.0%	(/.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))))
	51.9%	(/.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))))
	54.2%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	62.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 a (sin.f64 b)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))))))
	66.3%	(/.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)))))
	55.6%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	99.1%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	50.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1)))) (cos.f64 a)))
✓	62.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
✓	36.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
	36.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	40.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
	47.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))
	34.8%	(/.f64 (.f64 r #s(approx (sin b) (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))) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
	73.6%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	62.2%	(/.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
	49.9%	(/.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)))
	35.5%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
	35.1%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
	35.2%	(/.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))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
	47.1%	(/.f64 #s(approx (* r (sin b)) (.f64 b r)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	46.6%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	35.7%	(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
	35.8%	(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
	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 (neg.f64 (sin.f64 a)) (sin.f64 b))) (sin.f64 b)))
	55.5%	(/.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 b)))
	99.1%	(/.f64 r (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (.f64 (neg.f64 (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))
	44.3%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 b)))
	67.3%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
	63.1%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)))
	62.3%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	50.3%	(/.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))))
	73.5%	(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
	47.7%	(/.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)))
	50.3%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
	61.0%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	61.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
	73.0%	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
	62.3%	(.f64 (pow.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
	51.9%	(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
	73.6%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)))
	73.6%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	62.3%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)
	99.3%	(.f64 (/.f64 (neg.f64 r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	98.9%	(.f64 (/.f64 (neg.f64 r) (/.f64 (fma.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (cos.f64 a)) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 b)))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	39.6%	(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
	46.5%	(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)))
	46.5%	(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)))
	46.6%	(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)))
	73.5%	(*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
	73.6%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	73.4%	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)))
	73.6%	(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
	73.5%	(.f64 (sin.f64 b) (pow.f64 (.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
	51.9%	(.f64 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
	62.3%	(.f64 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
	73.5%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	20.6%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	28.4%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	46.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)))
	46.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64)))))
✓	46.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	35.4%	#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))
	35.4%	#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))
	35.6%	#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))
	46.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
	46.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
	28.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 r (.f64 a a)) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
✓	29.3%	#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))
	14.2%	#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 r #s(literal 1/2 binary64) (/.f64 r (*.f64 a a))) a) a))) b))
	9.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a a)) r))) b))
	35.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
	35.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
✓	35.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 4 026 to 1 822 computations (54.7% saved)

regimes197.0ms (1.8%)

Memory

19.3MiB live, 382.4MiB allocated

Counts

151 → 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 #s(literal 1/2 binary64) (*.f64 a a)) 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))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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 r #s(literal 1/2 binary64) (/.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 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 r (.f64 a a)) #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))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (neg.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 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r #s(approx (sin b) (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))) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#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 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (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 (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 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 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 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
(/.f64 (.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) r))
(/.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 b)))
(.f64 (pow.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
(/.f64 (*.f64 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 (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))
(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(*.f64 (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 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.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 (sin.f64 b) (pow.f64 (.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.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)) (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 (.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))
(/.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 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.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 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 r #s(literal -1/2 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 (/.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 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 a (sin.f64 b)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (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))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (pow.f64 r #s(literal -1 binary64))))
(/.f64 (pow.f64 (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 -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
(/.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 (neg.f64 (sin.f64 a)) (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 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 a))))))
(.f64 (/.f64 (neg.f64 r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64) (.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 2 binary64)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(/.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 (sin.f64 b)) (fma.f64 (/.f64 (cos.f64 b) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 a)) #s(literal -1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 b) r) #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 (neg.f64 r) (/.f64 (fma.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (cos.f64 a)) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 b)))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (.f64 (sin.f64 b) (.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b))
(/.f64 r (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (.f64 (neg.f64 (sin.f64 b)) (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)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))
(.f64 (/.f64 r (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (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))))))

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

Calls

4 calls:

50.0ms	r
48.0ms	b
47.0ms	a
44.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
99.4%	1	`r`
99.4%	1	`a`
99.4%	1	`b`
99.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes159.0ms (1.5%)

Memory

-0.8MiB live, 306.1MiB allocated

Counts

127 → 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 #s(literal 1/2 binary64) (*.f64 a a)) 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))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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 r #s(literal 1/2 binary64) (/.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 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 r (.f64 a a)) #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))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (neg.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 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r #s(approx (sin b) (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))) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#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 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (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 (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 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 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 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
(/.f64 (.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) r))
(/.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 b)))
(.f64 (pow.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
(/.f64 (*.f64 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 (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))
(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(*.f64 (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 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.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 (sin.f64 b) (pow.f64 (.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.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)) (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 (.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))
(/.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 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.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 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 r #s(literal -1/2 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 (/.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 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 a (sin.f64 b)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (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))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (pow.f64 r #s(literal -1 binary64))))
(/.f64 (pow.f64 (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 -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

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

Calls

4 calls:

41.0ms	r
39.0ms	b
37.0ms	a
35.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
99.4%	1	`r`
99.4%	1	`a`
99.4%	1	`b`
99.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes165.0ms (1.5%)

Memory

-9.2MiB live, 364.3MiB allocated

Counts

126 → 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 #s(literal 1/2 binary64) (*.f64 a a)) 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))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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 r #s(literal 1/2 binary64) (/.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 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 r (.f64 a a)) #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))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (neg.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 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r #s(approx (sin b) (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))) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#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 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (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 (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 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 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 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
(/.f64 (.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) r))
(/.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 b)))
(.f64 (pow.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
(/.f64 (*.f64 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 (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))
(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(*.f64 (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 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.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 (sin.f64 b) (pow.f64 (.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.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)) (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 (.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))
(/.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 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.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 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 r #s(literal -1/2 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 (/.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 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 a (sin.f64 b)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (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))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (pow.f64 r #s(literal -1 binary64))))
(/.f64 (pow.f64 (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 -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
(/.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:

42.0ms	b
41.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
40.0ms	a
35.0ms	r

Results

Accuracy	Segments	Branch
99.4%	1	`r`
99.4%	1	`a`
99.4%	1	`b`
99.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes147.0ms (1.4%)

Memory

-4.7MiB live, 231.3MiB allocated

Counts

125 → 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 #s(literal 1/2 binary64) (*.f64 a a)) 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))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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 r #s(literal 1/2 binary64) (/.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 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 r (.f64 a a)) #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))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (neg.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 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r #s(approx (sin b) (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))) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#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 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (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 (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1)))) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 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 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 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))
(/.f64 (.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) r))
(/.f64 (neg.f64 (sin.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 b)))
(.f64 (pow.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (/.f64 b (pow.f64 r #s(literal -1 binary64)))))
(/.f64 (*.f64 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 (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1 binary64)))
(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
(/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(*.f64 (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 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.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 (sin.f64 b) (pow.f64 (.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.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)) (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 (.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))
(/.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 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.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 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (pow.f64 r #s(literal -1/2 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 (/.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 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal -1/2 binary64))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin b)) (sin a)) (.f64 (.f64 a (sin.f64 b)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal -1/2 binary64)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (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))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (pow.f64 r #s(literal -1 binary64))))
(/.f64 (pow.f64 (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 -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))

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

Calls

4 calls:

37.0ms	r
36.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
35.0ms	a
34.0ms	b

Results

Accuracy	Segments	Branch
73.6%	1	`r`
73.6%	1	`a`
73.6%	1	`b`
73.6%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes58.0ms (0.5%)

Memory

26.5MiB live, 101.2MiB allocated

Counts

46 → 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 #s(literal 1/2 binary64) (*.f64 a a)) 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))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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 r #s(literal 1/2 binary64) (/.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 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 r (.f64 a a)) #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))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (neg.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 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r #s(approx (sin b) (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))) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#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 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (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 (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1)))) (cos.f64 a)))
(*.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:

15.0ms	r
14.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
13.0ms	b
13.0ms	a

Results

Accuracy	Segments	Branch
73.6%	1	`a`
73.6%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
73.6%	1	`b`
73.6%	1	`r`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes58.0ms (0.5%)

Memory

-5.5MiB live, 79.4MiB allocated

Counts

45 → 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 #s(literal 1/2 binary64) (*.f64 a a)) 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))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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 r #s(literal 1/2 binary64) (/.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 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 r (.f64 a a)) #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))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (neg.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 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r #s(approx (sin b) (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))) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#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 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (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 (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (/ 1 (pow (cos a) -1)))) (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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
73.5%	3	`a`
62.3%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
73.2%	3	`b`
64.1%	2	`r`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes28.0ms (0.3%)

Memory

-19.6MiB live, 54.9MiB allocated

Counts

40 → 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 #s(literal 1/2 binary64) (*.f64 a a)) 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))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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 r #s(literal 1/2 binary64) (/.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 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 r (.f64 a a)) #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))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (neg.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 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r #s(approx (sin b) (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))) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#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 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)

Outputs

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

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

Calls

2 calls:

14.0ms	b
13.0ms	a

Results

Accuracy	Segments	Branch
73.2%	3	`b`
72.0%	3	`a`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes13.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

39 → 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 #s(literal 1/2 binary64) (*.f64 a a)) 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))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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 r #s(literal 1/2 binary64) (/.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 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 r (.f64 a a)) #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))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (neg.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 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r #s(approx (sin b) (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))) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#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 (sin.f64 b) (/.f64 r #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (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 (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 (/.f64 r (cos.f64 b)) (sin.f64 b)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
73.1%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes49.0ms (0.5%)

Memory

-21.9MiB live, 68.1MiB 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 #s(literal 1/2 binary64) (*.f64 a a)) 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))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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 r #s(literal 1/2 binary64) (/.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 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 r (.f64 a a)) #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))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (neg.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 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 a)) (.f64 (neg.f64 b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)))
(/.f64 (.f64 r #s(approx (sin b) (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))) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))

Outputs

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

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

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

Calls

4 calls:

14.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
12.0ms	b
10.0ms	a
10.0ms	r

Results

Accuracy	Segments	Branch
46.8%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
46.8%	1	`r`
46.8%	1	`a`
51.7%	3	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes14.0ms (0.1%)

Memory

-2.0MiB live, 34.6MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
51.6%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
51.5%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB 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 #s(literal 1/2 binary64) (*.f64 a a)) 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))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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 r #s(literal 1/2 binary64) (/.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 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 r (.f64 a a)) #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))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))
(/.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) b) (/.f64 #s(literal -1 binary64) (cos.f64 a))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (neg.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 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (neg.f64 (/.f64 b (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)))

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
51.2%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

-16.4MiB live, 21.4MiB 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 #s(literal 1/2 binary64) (*.f64 a a)) 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))) #s(approx (* (/ r (cos a)) b) (/.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) r))))
#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 r #s(literal 1/2 binary64) (/.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 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 r (.f64 a a)) #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))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #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)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 b r) #s(literal -1 binary64)))))

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
51.2%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory

-7.0MiB live, 30.0MiB allocated

Counts

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

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

Calls

2 calls:

7.0ms	r
5.0ms	b

Results

Accuracy	Segments	Branch
46.8%	1	`r`
46.8%	1	`b`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes19.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

5.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms	r
4.0ms	a
4.0ms	b

Results

Accuracy	Segments	Branch
35.8%	1	`a`
35.8%	1	`b`
35.8%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
35.8%	1	`r`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes17.0ms (0.2%)

Memory

-10.7MiB live, 36.7MiB allocated

Accuracy

Total -19.4b remaining (-47.3%)

Threshold costs -19.4b (-47.3%)

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

5.0ms	r
4.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms	a
4.0ms	b

Results

Accuracy	Segments	Branch
35.8%	1	`b`
35.8%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
35.8%	1	`r`
35.8%	1	`a`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch48.0ms (0.4%)

Memory

-6.8MiB live, 68.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.1060218392085973e-14	1.011662576121602e-6
21.0ms	-31.601107854421056	-0.0007873423039074652

Samples

26.0ms	149×	1	valid
9.0ms	123×	0	valid

Compiler

Compiled 284 to 320 computations (-12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-cos: 10.0ms (38% of total)

ival-sin: 7.0ms (26.6% of total)

ival-add: 2.0ms (7.6% of total)

ival-div: 2.0ms (7.6% of total)

adjust: 2.0ms (7.6% of total)

ival-mult: 2.0ms (7.6% of total)

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

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

bsearch35.0ms (0.3%)

Memory

18.1MiB live, 56.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.1206858425318814e-5	0.0009175815963907223
15.0ms	-3.6511436449852014e-6	-7.088615227044498e-8

Samples

14.0ms	105×	1	valid
9.0ms	119×	0	valid

Compiler

Compiled 418 to 350 computations (16.3% saved)

Precisions

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

ival-cos: 5.0ms (30.4% of total)

ival-div: 3.0ms (18.2% of total)

ival-sin: 3.0ms (18.2% of total)

ival-add: 2.0ms (12.2% of total)

adjust: 2.0ms (12.2% of total)

ival-mult: 2.0ms (12.2% of total)

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

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

bsearch2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1206858425318814e-5	0.0009175815963907223
1.0ms	-3.6511436449852014e-6	-7.088615227044498e-8

Compiler

Compiled 418 to 350 computations (16.3% saved)

bsearch61.0ms (0.6%)

Memory

-22.5MiB live, 99.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	0.1713026618633437	12945712553.785086
30.0ms	-66103110.84504692	-3.6511436449852014e-6

Samples

26.0ms	141×	1	valid
19.0ms	179×	0	valid

Compiler

Compiled 712 to 594 computations (16.6% saved)

Precisions

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

ival-cos: 11.0ms (33.9% of total)

ival-sin: 10.0ms (30.8% of total)

ival-mult: 4.0ms (12.3% of total)

ival-add: 2.0ms (6.2% of total)

ival-div: 2.0ms (6.2% of total)

adjust: 2.0ms (6.2% of total)

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

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

bsearch84.0ms (0.8%)

Memory

-5.2MiB live, 77.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	0.1713026618633437	12945712553.785086
51.0ms	-66103110.84504692	-3.6511436449852014e-6

Samples

20.0ms	126×	1	valid
16.0ms	146×	0	valid

Compiler

Compiled 592 to 514 computations (13.2% saved)

Precisions

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

ival-sin: 9.0ms (32.9% of total)

ival-cos: 9.0ms (32.9% of total)

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

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

adjust: 2.0ms (7.3% of total)

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

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

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

bsearch8.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.1713026618633437	12945712553.785086
1.0ms	-66103110.84504692	-3.6511436449852014e-6

Samples

2.0ms	20×	0	valid
2.0ms	12×	1	valid

Compiler

Compiled 512 to 514 computations (-0.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sin: 1.0ms (32.1% of total)

ival-cos: 1.0ms (32.1% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch62.0ms (0.6%)

Memory

5.5MiB live, 44.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	0.1713026618633437	12945712553.785086
14.0ms	-66103110.84504692	-3.6511436449852014e-6

Samples

35.0ms	126×	0	valid
15.0ms	98×	1	valid

Compiler

Compiled 352 to 394 computations (-11.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 23.0ms (52.8% of total)

ival-sin: 8.0ms (18.4% of total)

ival-cos: 7.0ms (16.1% of total)

ival-add: 2.0ms (4.6% of total)

adjust: 2.0ms (4.6% of total)

ival-mult: 2.0ms (4.6% of total)

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

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

bsearch56.0ms (0.5%)

Memory

-5.4MiB live, 32.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.1713026618633437	12945712553.785086
43.0ms	-66103110.84504692	-3.6511436449852014e-6

Samples

37.0ms	91×	0	valid
10.0ms	69×	1	valid

Compiler

Compiled 312 to 374 computations (-19.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-cos: 33.0ms (77.3% of total)

ival-sin: 5.0ms (11.7% of total)

ival-add: 1.0ms (2.3% of total)

ival-div: 1.0ms (2.3% of total)

adjust: 1.0ms (2.3% of total)

ival-mult: 1.0ms (2.3% of total)

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

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

simplify57.0ms (0.5%)

Memory

5.9MiB live, 44.7MiB allocated

Algorithm

1×	egg-herbie

Rules

56×	`-commutative-binary64-.f64`
24×	`neg-sub0-binary64--.f64-neg.f64`
24×	`+-commutative-binary64-+.f64`
24×	`neg-mul-1-binary64-*.f64-neg.f64`
22×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	705
1	170	705
2	192	705
3	215	705
4	227	705
5	234	705
6	236	705

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (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) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 a #s(literal -4150517416584649/4611686018427387904 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))))
(if (<=.f64 b #s(literal -8500259669165361/2361183241434822606848 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) (if (<=.f64 b #s(literal 4150517416584649/4611686018427387904 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)))
(if (<=.f64 b #s(literal -8500259669165361/2361183241434822606848 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4150517416584649/4611686018427387904 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3321404725185741/562949953421312 binary64)) (.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -110 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 90 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -280 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 52000 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 b r)) (cos.f64 (+.f64 a b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -5404319552844595/4503599627370496 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 5404319552844595/1125899906842624 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 b (cos.f64 a)) r)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Outputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (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 (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) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 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 -4150517416584649/4611686018427387904 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))))
(if (<=.f64 a #s(literal -4150517416584649/4611686018427387904 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))))
(if (<=.f64 b #s(literal -8500259669165361/2361183241434822606848 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r) (if (<=.f64 b #s(literal 4150517416584649/4611686018427387904 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)))
(if (<=.f64 b #s(literal -8500259669165361/2361183241434822606848 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4150517416584649/4611686018427387904 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3321404725185741/562949953421312 binary64)) (.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3321404725185741/562949953421312 binary64)) (.f64 #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -110 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 90 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -110 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 90 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 100 binary64)) (.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 100 binary64)) (.f64 #s(approx (/ 1 (/ -1 (sin b))) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -280 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 52000 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 b r)) (cos.f64 (+.f64 a b))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -280 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 52000 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 b r)) (cos.f64 (+.f64 a b))) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -5404319552844595/4503599627370496 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 5404319552844595/1125899906842624 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 b (cos.f64 a)) r)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -5404319552844595/4503599627370496 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 5404319552844595/1125899906842624 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 b (cos.f64 a)) r)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
(/.f64 #s(approx (* r (sin b)) (.f64 b r)) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

soundness1.7s (15.7%)

Memory

-24.5MiB live, 745.6MiB allocated

Rules

13 480×	`lower-fma.f64`
13 480×	`lower-fma.f32`
10 934×	`lower-fma.f64`
10 934×	`lower-fma.f32`
10 890×	`lower-fma.f64`

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
0	386	6769
1	1251	6429
2	4097	6377
0	8866	6170
0	433	5913
1	1325	5662
2	4249	5608
0	8533	5402
0	167	960
1	517	928
2	1602	886
3	5424	885
0	8361	853
0	36	165
0	63	182
1	214	147
2	1263	147
0	8472	147
0	281	5884
1	900	5558
2	2988	5358
0	8234	5220
0	46	198
0	72	194
1	232	158
2	1386	158
0	8318	158

Stop Event

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

Compiler

Compiled 1 032 to 575 computations (44.3% saved)

preprocess142.0ms (1.3%)

Memory: 28.5MiB live, 223.8MiB allocated
Remove: (negabs r)
Compiler: Compiled 994 to 354 computations (64.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze240.0ms (2.2%)

sample1.8s (16.7%)

explain137.0ms (1.3%)

preprocess111.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize54.0ms (0.5%)

series16.0ms (0.1%)

simplify191.0ms (1.8%)

rewrite208.0ms (1.9%)

eval60.0ms (0.6%)

prune72.0ms (0.7%)

simplify209.0ms (2%)

localize297.0ms (2.8%)

series69.0ms (0.6%)

simplify282.0ms (2.6%)

rewrite168.0ms (1.6%)

eval255.0ms (2.4%)

prune124.0ms (1.2%)

simplify230.0ms (2.2%)

localize507.0ms (4.7%)

series54.0ms (0.5%)

simplify254.0ms (2.4%)

rewrite160.0ms (1.5%)

eval264.0ms (2.5%)

prune195.0ms (1.8%)

simplify152.0ms (1.4%)

localize336.0ms (3.1%)

series125.0ms (1.2%)

simplify210.0ms (2%)

rewrite223.0ms (2.1%)

eval261.0ms (2.4%)

prune242.0ms (2.3%)

regimes197.0ms (1.8%)

regimes159.0ms (1.5%)

regimes165.0ms (1.5%)

regimes147.0ms (1.4%)

regimes58.0ms (0.5%)

regimes58.0ms (0.5%)

regimes28.0ms (0.3%)

regimes13.0ms (0.1%)

regimes49.0ms (0.5%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes13.0ms (0.1%)

regimes19.0ms (0.2%)

regimes17.0ms (0.2%)

bsearch48.0ms (0.4%)

bsearch35.0ms (0.3%)

bsearch2.0ms (0%)

bsearch61.0ms (0.6%)

bsearch84.0ms (0.8%)

bsearch8.0ms (0.1%)

bsearch62.0ms (0.6%)

bsearch56.0ms (0.5%)

simplify57.0ms (0.5%)

soundness1.7s (15.7%)

preprocess142.0ms (1.3%)

end0.0ms (0%)

Profiling