Metrics for rsin A (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze325.0ms (2.8%)

Memory

8.1MiB live, 373.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample2.5s (21.2%)

Memory

-8.2MiB live, 1 908.1MiB allocated

Samples

2.0s	5 862×	1	valid
163.0ms	2 394×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-sin: 970.0ms (54.8% of total)

ival-cos: 318.0ms (18% of total)

adjust: 166.0ms (9.4% of total)

ival-div: 143.0ms (8.1% of total)

ival-mult: 84.0ms (4.7% of total)

ival-add: 78.0ms (4.4% of total)

ival-true: 7.0ms (0.4% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain145.0ms (1.2%)

Memory

24.2MiB live, 185.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
81	104	(-1.3585979117611086e+25 2.4446166542946025e+217 -3.1759057888056298e-260)	-	`(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	185	0

Confusion

	Predicted +	Predicted -
+	81	0
-	104	71

Precision

0.43783783783783786

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	0
-	104	0	71

Precision?

0.43783783783783786

Recall?

1.0

Freqs

test

number	freq
0	71
1	185

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms	346×	1	valid
15.0ms	166×	0	valid

Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-cos: 16.0ms (32.3% of total)

ival-sin: 12.0ms (24.2% of total)

ival-div: 6.0ms (12.1% of total)

adjust: 6.0ms (12.1% of total)

ival-add: 5.0ms (10.1% of total)

ival-mult: 4.0ms (8.1% of total)

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

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

preprocess111.0ms (1%)

Memory

-13.9MiB live, 24.4MiB 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

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.2%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize43.0ms (0.4%)

Memory

11.5MiB live, 49.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sin.f64 b)
accuracy	0.12890625	(*.f64 r (sin.f64 b))
accuracy	0.17578125	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy	17.14421074913348	(cos.f64 (+.f64 a b))

Samples

31.0ms	173×	1	valid
6.0ms	83×	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 (33.5% of total)

ival-sin: 6.0ms (25.1% 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)

series74.0ms (0.6%)

Memory

-21.7MiB live, 16.6MiB 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
61.0ms	r	@	-inf	((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
2.0ms	b	@	0	((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
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)))

simplify163.0ms (1.4%)

Memory

18.8MiB live, 131.9MiB 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)

rewrite197.0ms (1.7%)

Memory

14.0MiB live, 202.9MiB 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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eval53.0ms (0.5%)

Memory: -23.0MiB live, 67.4MiB allocated
Compiler: Compiled 3 824 to 548 computations (85.7% saved)

prune36.0ms (0.3%)

Memory

2.3MiB live, 75.9MiB allocated

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	199	34	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	34	234

Accuracy

99.8%

Counts

234 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.7%	(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))
▶	73.1%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
	73.1%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	36.1%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
	57.1%	(/.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))))
	50.9%	(/.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))))
	51.0%	(/.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))))
▶	56.9%	(/.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))))
	51.4%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	57.4%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	60.0%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	53.7%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	49.6%	(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
	49.7%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	50.1%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
▶	73.2%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	72.3%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	73.1%	(*.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)))
	73.2%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	73.2%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	73.1%	(*.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)))
	73.2%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	73.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	73.2%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	73.2%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	73.2%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	73.1%	(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	32.0%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	60.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
▶	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))

Compiler

Compiled 1 044 to 806 computations (22.8% saved)

simplify267.0ms (2.3%)

Memory

20.7MiB live, 144.8MiB 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 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) 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 (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) 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)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
cost-diff	0	(+.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

4 368×	`lower-fma.f32`
4 364×	`lower-fma.f64`
3 016×	`lower-*.f32`
3 006×	`lower-*.f64`
2 624×	`div-sub`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	36	239
0	62	231
1	97	231
2	151	231
3	253	231
4	395	231
5	642	231
6	989	231
7	1499	231
8	2127	231
9	2736	231
10	3698	228
11	4371	228
12	4658	228
13	4706	228
14	4719	228
15	4775	228
16	5134	228
17	5560	228
18	6023	228
19	6278	228
20	6364	228
21	6408	228
22	6436	228
23	6476	228
24	6668	228
0	8612	228

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

localize368.0ms (3.2%)

Memory

19.0MiB live, 251.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)
accuracy	0.12890625	(*.f64 r (sin.f64 b))
accuracy	0.17578125	(/.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))))
accuracy	31.69852985169254	#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)))
accuracy	0.1640625	(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
accuracy	0.17578125	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
accuracy	0.23046875	(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
accuracy	17.14421074913348	(cos.f64 (+.f64 a b))
accuracy	0.0078125	(sin.f64 b)
accuracy	0.18359375	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
accuracy	0.23046875	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
accuracy	17.14421074913348	(cos.f64 (+.f64 a b))
accuracy	0	(cos.f64 a)
accuracy	0.12109375	(/.f64 r (cos.f64 a))
accuracy	0.12109375	(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy	31.79540386742993	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy	0.11981416149207616	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.12890625	(*.f64 r (sin.f64 b))
accuracy	0.1328125	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.17578125	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

316.0ms	171×	1	valid
24.0ms	85×	0	valid

Compiler

Compiled 209 to 33 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 303.0ms

ival-mult: 184.0ms (60.7% of total)

ival-cos: 57.0ms (18.8% of total)

ival-sin: 17.0ms (5.6% of total)

ival-div: 15.0ms (4.9% of total)

adjust: 9.0ms (3% of total)

ival-pow: 9.0ms (3% of total)

ival-add: 8.0ms (2.6% of total)

ival-sub: 2.0ms (0.7% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series98.0ms (0.8%)

Memory

0.5MiB live, 111.1MiB allocated

Counts

19 → 504

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())
#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())
#s(alt (/.f64 r (cos.f64 a)) (patch (/.f64 r (cos.f64 a)) #<representation binary64>) () ())
#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())
#s(alt (/.f64 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 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) #<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>) () ())) ())
#s(alt (+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b))) (taylor 0 a) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (cos b) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ())
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#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) #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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (cos a) (taylor 0 b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) (taylor 0 b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) (taylor 0 b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) (taylor 0 b) (#s(alt (.f64 (cos.f64 b) (cos.f64 a)) (patch (.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos a)) (taylor 0 b) (#s(alt (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) (taylor 0 b) (#s(alt (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) (taylor 0 b) (#s(alt (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 b) (#s(alt (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 a) (taylor 0 b) (#s(alt (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) (taylor 0 b) (#s(alt (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a)))) (taylor 0 b) (#s(alt (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2)))))))) (taylor 0 b) (#s(alt (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (patch (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (.f64 r (sin.f64 b)) (patch (.f64 r (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor inf b) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor inf b) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor inf b) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* b r) (cos a)) (taylor inf b) (#s(alt (.f64 (/.f64 r (cos.f64 a)) b) (patch (.f64 (/.f64 r (cos.f64 a)) b) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (patch (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (+ a b)) (sin b)) (taylor inf b) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (patch (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #<representation binary64>) () ())) ())
#s(alt (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 b (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#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 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) #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)))) (patch (/.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)))) #<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 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) (patch (/.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)))) #<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 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) (patch (/.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)))) #<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 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) (patch (/.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)))) #<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 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) (patch (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) #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)))) (patch (/.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)))) #<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 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) (patch (/.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)))) #<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 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) (patch (/.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)))) #<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 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))) (patch (/.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)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	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) (/ 1 (pow (cos (+ a b)) -1)) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (pow (cos (+ a b)) -1) (* (* -1/2 (cos b)) a))
10.0ms	a	@	0	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (/ 1 (pow (cos (+ a b)) -1)) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (pow (cos (+ a b)) -1) (* (* -1/2 (cos b)) a))
7.0ms	a	@	-inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (/ 1 (pow (cos (+ a b)) -1)) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (pow (cos (+ a b)) -1) (* (* -1/2 (cos b)) a))
6.0ms	b	@	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) (/ 1 (pow (cos (+ a b)) -1)) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (pow (cos (+ a b)) -1) (* (* -1/2 (cos b)) a))
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) (/ 1 (pow (cos (+ a b)) -1)) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (pow (cos (+ a b)) -1) (* (* -1/2 (cos b)) a))

simplify227.0ms (1.9%)

Memory

1.8MiB live, 250.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 302×	`lower-fma.f64`
8 302×	`lower-fma.f32`
7 316×	`lower-*.f64`
7 316×	`lower-*.f32`
2 678×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	410	5739
1	1258	5496
2	4018	5444
0	8188	5244

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 496

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))
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(/ (cos b) (sin b))
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(cos b)
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b
(+ a b)
(+ a b)
(+ a b)
(cos b)
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(/ (* r (sin b)) (cos b))
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(/ (* r (sin b)) (cos b))
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(cos b)
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(cos b)
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(/ 1 (cos b))
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(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
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(+ (* -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)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* 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 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* 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))))
(+ (* -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)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* 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 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(/ 1 (cos (- b (* -1 a))))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (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)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (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 (cos a))
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))
(* -1/2 a)
(+ (* -1/2 a) (* 1/4 (* a (pow b 2))))
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* 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)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* 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 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(/ 1 (cos (+ a b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -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)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* 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 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(/ 1 (cos (- a (* -1 b))))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* a (cos b)))
(* -1/2 (* 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))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))

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

rewrite189.0ms (1.6%)

Memory

5.7MiB live, 233.8MiB allocated

Rules

4 264×	`lower-*.f32`
4 254×	`lower-*.f64`
4 112×	`lower-/.f32`
4 100×	`lower-/.f64`
3 332×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	163
0	62	183
1	212	141
2	1232	141
0	8339	141

Stop Event

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

Counts

19 → 766

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

Outputs
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eval353.0ms (3%)

Memory: 16.1MiB live, 603.8MiB allocated
Compiler: Compiled 34 741 to 2 689 computations (92.3% saved)

prune333.0ms (2.9%)

Memory

-62.9MiB live, 404.6MiB allocated

Pruning

73 alts after pruning (70 fresh and 3 done)

	Pruned	Kept	Total
New	1 560	57	1 617
Fresh	16	13	29
Picked	2	3	5
Done	0	0	0
Total	1 578	73	1 651

Accuracy

100.0%

Counts

1 651 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.7%	(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	73.1%	(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
	98.6%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.5%	(/.f64 (.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	57.0%	(/.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))))))
	61.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
	55.3%	(/.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))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	54.5%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	50.5%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64))))
	54.5%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
	50.5%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	73.1%	(/.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))))))
	60.0%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
	53.6%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	36.1%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
	51.4%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	57.4%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	60.0%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 b)))
▶	53.7%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
✓	56.9%	(/.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))))
	56.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* -1/2 (cos b)) a) (*.f64 #s(literal -1/2 binary64) a)) (sin.f64 b)) a (cos.f64 b))))
	73.2%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	49.7%	(/.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)))
	35.3%	(/.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 (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
	50.2%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	35.3%	(/.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 (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
	50.1%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	99.4%	(/.f64 r (fma.f64 (.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
	99.5%	(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))
▶	73.1%	(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)))
	67.4%	(/.f64 r (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (fma.f64 (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))))
	84.6%	(/.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))))
	99.3%	(/.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))))))
	46.1%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 b)))
	67.2%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
	62.3%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)))
	60.0%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
	53.6%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
	73.1%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	99.5%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	73.1%	(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	50.8%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
	54.0%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
	50.2%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	57.4%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	73.2%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	99.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
▶	73.2%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	73.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	73.2%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	73.2%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	73.1%	(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	60.0%	#s(approx (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	49.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
✓	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	36.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	36.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	36.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
	29.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
	30.8%	#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))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
▶	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 246 to 1 710 computations (23.9% saved)

simplify80.0ms (0.7%)

Memory

35.3MiB live, 112.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (sin.f64 b) r)
cost-diff	14208	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b))
cost-diff	384	(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
cost-diff	0	#s(approx (/ 1 (pow (cos (+ a b)) -1)) (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 (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
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	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.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))))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))

Rules

2 902×	`lower-*.f32`
2 890×	`lower-*.f64`
2 138×	`lower-/.f32`
2 122×	`lower-/.f64`
1 810×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	259
0	70	245
1	117	217
2	220	217
3	587	217
4	1832	217
5	3601	217
6	6621	217
0	8082	217

Stop Event

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

Calls

Call 1

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

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

localize257.0ms (2.2%)

Memory

-10.4MiB live, 267.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
accuracy	0.29916000976844204	(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
accuracy	17.14421074913348	(cos.f64 (+.f64 a b))
accuracy	17.250243817102145	(cos.f64 (-.f64 b a))
accuracy	0.18359375	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b))
accuracy	0.23046875	(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)))
accuracy	0.23046875	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
accuracy	17.14421074913348	(cos.f64 (+.f64 a b))
accuracy	0.0078125	(sin.f64 b)
accuracy	0.12890625	(*.f64 r (sin.f64 b))
accuracy	0.17578125	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
accuracy	29.772176311437054	#s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))
accuracy	0	(*.f64 b r)
accuracy	22.797738002919214	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy	31.79540386742993	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy	0.12890625	(*.f64 r (sin.f64 b))
accuracy	0.1328125	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.17578125	(/.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))))
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))

Samples

195.0ms	171×	1	valid
25.0ms	85×	0	valid

Compiler

Compiled 242 to 38 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-pow: 61.0ms (32.8% of total)

ival-cos: 32.0ms (17.2% of total)

ival-mult: 32.0ms (17.2% of total)

ival-div: 23.0ms (12.4% of total)

ival-sin: 20.0ms (10.7% of total)

adjust: 10.0ms (5.4% of total)

ival-add: 4.0ms (2.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series85.0ms (0.7%)

Memory

-11.9MiB live, 75.9MiB allocated

Counts

19 → 504

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	b	@	0	((/ 1 (pow (sin b) -1)) (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ 1 (pow (cos (+ a b)) -1)) (/ -1 (/ -1 (cos (+ a b)))) (/ r (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b))) (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/ -1 (cos (+ a b))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)))
4.0ms	r	@	-inf	((/ 1 (pow (sin b) -1)) (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ 1 (pow (cos (+ a b)) -1)) (/ -1 (/ -1 (cos (+ a b)))) (/ r (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b))) (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/ -1 (cos (+ a b))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)))
3.0ms	r	@	inf	((/ 1 (pow (sin b) -1)) (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ 1 (pow (cos (+ a b)) -1)) (/ -1 (/ -1 (cos (+ a b)))) (/ r (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b))) (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/ -1 (cos (+ a b))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)))
3.0ms	a	@	-inf	((/ 1 (pow (sin b) -1)) (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ 1 (pow (cos (+ a b)) -1)) (/ -1 (/ -1 (cos (+ a b)))) (/ r (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b))) (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/ -1 (cos (+ a b))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)))
3.0ms	b	@	-inf	((/ 1 (pow (sin b) -1)) (/ (* r (sin b)) (+ (* (/ 1 (pow (sin b) -1)) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (/ 1 (pow (cos (+ a b)) -1)) (/ -1 (/ -1 (cos (+ a b)))) (/ r (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b))) (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/ -1 (cos (+ a b))) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (cos b) (cos a)) (cos (+ a b)) (cos (- b a)))

simplify193.0ms (1.7%)

Memory

13.4MiB live, 200.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 808×	`lower-fma.f64`
7 808×	`lower-fma.f32`
6 944×	`lower-*.f64`
6 944×	`lower-*.f32`
2 370×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	424	5799
1	1363	5479
2	4437	5363
0	8082	5163

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 502

Calls

Call 1

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

rewrite182.0ms (1.6%)

Memory

29.4MiB live, 254.9MiB allocated

Rules

4 876×	`lower-*.f32`
4 864×	`lower-*.f64`
4 292×	`lower-/.f32`
4 276×	`lower-/.f64`
3 012×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	175
0	70	172
1	251	140
2	1534	140
0	8425	140

Stop Event

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

Counts

19 → 808

Calls

Call 1

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

Outputs
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eval400.0ms (3.4%)

Memory: 32.3MiB live, 601.8MiB allocated
Compiler: Compiled 41 691 to 3 865 computations (90.7% saved)

prune446.0ms (3.8%)

Memory

-127.8MiB live, 555.9MiB allocated

Pruning

91 alts after pruning (86 fresh and 5 done)

	Pruned	Kept	Total
New	1 683	37	1 720
Fresh	16	49	65
Picked	3	2	5
Done	0	3	3
Total	1 702	91	1 793

Accuracy

100.0%

Counts

1 793 → 91

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	27.3%	(/.f64 (*.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
	26.0%	(/.f64 (*.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
	46.9%	(/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (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))))
▶	26.0%	(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
	99.5%	(/.f64 (.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	57.0%	(/.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))))))
	61.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
	55.3%	(/.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))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	54.5%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64))))
	54.5%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
	50.5%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	60.0%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
	53.6%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
▶	36.1%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
	51.4%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	57.4%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	60.0%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 b)))
✓	53.7%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
✓	56.9%	(/.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))))
	56.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* -1/2 (cos b)) a) (*.f64 #s(literal -1/2 binary64) a)) (sin.f64 b)) a (cos.f64 b))))
	73.2%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	73.1%	(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
	49.7%	(/.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)))
	35.3%	(/.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 (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
	50.2%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	49.3%	(/.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 (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
	35.3%	(/.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 (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
	50.1%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	50.2%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
	99.4%	(/.f64 r (fma.f64 (.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
	47.0%	(/.f64 r (/.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (sqrt.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))
	99.5%	(/.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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b)))
	34.7%	(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
	34.8%	(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))))
	73.1%	(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))
	53.6%	(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a)))) (sin.f64 b)))
	84.6%	(/.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))))
	46.1%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 b)))
	67.2%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
	62.3%	(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b))) (sin.f64 b)))
	60.0%	(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 b)) (sin.f64 b)))
▶	53.6%	(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b)))
	73.1%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	99.5%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	73.1%	(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))
	50.8%	(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)))
	54.0%	(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
	50.2%	(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (cos.f64 a) b)))
	57.4%	(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	52.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)) (*.f64 r (sin.f64 b))))
	99.2%	(.f64 (/.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (cos.f64 (-.f64 a b)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
	73.6%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))))) (cos.f64 (-.f64 b a)))
	99.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
	73.7%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
	99.5%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 (-.f64 b a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))) (cos.f64 (-.f64 b a)))
	59.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
	60.0%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	60.7%	(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
	55.7%	(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
	73.6%	(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
	50.5%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (+.f64 a b)))))
	73.6%	(.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
	73.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	53.7%	(*.f64 (/.f64 (sin.f64 b) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))) r)
	73.1%	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	73.2%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	53.7%	(*.f64 (sin.f64 b) (/.f64 r #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))))
	73.1%	(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	24.1%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	60.0%	#s(approx (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	49.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
✓	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	36.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	36.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	36.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
	29.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
▶	30.8%	#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))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 r (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
✓	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 815 to 2 230 computations (20.8% saved)

simplify111.0ms (1%)

Memory

10.5MiB live, 83.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
cost-diff	128	(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
cost-diff	0	(sqrt.f64 (sin.f64 b))
cost-diff	0	(*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
cost-diff	7104	(pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))
cost-diff	0	(cos.f64 a)
cost-diff	0	#s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a))
cost-diff	0	(/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))
cost-diff	384	(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b)))
cost-diff	0	(fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)
cost-diff	0	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
cost-diff	0	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))

Rules

3 178×	`lower-fma.f32`
3 172×	`lower-fma.f64`
2 530×	`lower-*.f32`
2 520×	`lower-*.f64`
1 448×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	347
0	86	320
1	140	304
2	254	304
3	587	304
4	1373	304
5	2738	304
6	5007	304
7	7213	304
8	7830	304
0	8048	304

Stop Event

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

Calls

Call 1

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

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

localize227.0ms (1.9%)

Memory

0.2MiB live, 444.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
accuracy	0.8984333716604117	(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
accuracy	7.886530983878196	(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
accuracy	17.933449156471394	(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
accuracy	0.0546875	(*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)))
accuracy	0.08984375	(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
accuracy	0.265625	(pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))
accuracy	13.568808257944987	#s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))
accuracy	0.0078125	(sin.f64 b)
accuracy	0.08203125	(/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))
accuracy	0.109375	(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b)))
accuracy	13.568808257944987	#s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a))
accuracy	0.0625	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
accuracy	1.9889574192467299	(.f64 (.f64 a a) r)
accuracy	14.369768145858126	#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	14.437776576621534	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
accuracy	0.0546875	(*.f64 r (sin.f64 b))
accuracy	0.06512666149207616	(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.08984375	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
accuracy	0.11328125	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))

Samples

104.0ms	84×	1	valid
59.0ms	135×	0	invalid
19.0ms	37×	0	valid

Compiler

Compiled 308 to 51 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-div: 40.0ms (26.7% of total)

ival-cos: 33.0ms (22% of total)

ival-mult: 20.0ms (13.3% of total)

ival-pow: 17.0ms (11.3% of total)

ival-sin: 16.0ms (10.7% of total)

adjust: 7.0ms (4.7% of total)

ival-add: 7.0ms (4.7% of total)

ival-neg: 3.0ms (2% of total)

ival-pow2: 3.0ms (2% of total)

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

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

exact: 1.0ms (0.7% of total)

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

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

series296.0ms (2.5%)

Memory

-5.4MiB live, 110.5MiB allocated

Counts

23 → 564

Calls

Call 1

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

Outputs
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)) b)) (patch #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)) #<representation binary64>) () ())) ())
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#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 (/ (* 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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) #<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 #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)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))) (patch (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))) (patch (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))) (patch (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))) (patch (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))) (patch (/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))) (patch (/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))) (patch (/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))) (patch (/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (patch (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (patch (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (patch (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (patch (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))) (taylor -inf r) (#s(alt (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) (patch (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))) #<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
199.0ms	r	@	0	((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* 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 (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b))) (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/ -1 (/ -1 (cos (+ a b)))) (cos a) (pow (sqrt (sin b)) 2) (/ (* r (pow (sqrt (sin b)) 2)) (/ 1 (pow (cos (+ a b)) -1))) (* r (pow (sqrt (sin b)) 2)) (sqrt (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* (* a a) r) (/ 1 (pow (cos (+ a b)) -1)) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3)))
35.0ms	a	@	0	((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* 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 (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b))) (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/ -1 (/ -1 (cos (+ a b)))) (cos a) (pow (sqrt (sin b)) 2) (/ (* r (pow (sqrt (sin b)) 2)) (/ 1 (pow (cos (+ a b)) -1))) (* r (pow (sqrt (sin b)) 2)) (sqrt (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* (* a a) r) (/ 1 (pow (cos (+ a b)) -1)) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3)))
7.0ms	r	@	-inf	((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* 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 (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b))) (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/ -1 (/ -1 (cos (+ a b)))) (cos a) (pow (sqrt (sin b)) 2) (/ (* r (pow (sqrt (sin b)) 2)) (/ 1 (pow (cos (+ a b)) -1))) (* r (pow (sqrt (sin b)) 2)) (sqrt (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* (* a a) r) (/ 1 (pow (cos (+ a b)) -1)) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3)))
7.0ms	r	@	inf	((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* 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 (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b))) (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/ -1 (/ -1 (cos (+ a b)))) (cos a) (pow (sqrt (sin b)) 2) (/ (* r (pow (sqrt (sin b)) 2)) (/ 1 (pow (cos (+ a b)) -1))) (* r (pow (sqrt (sin b)) 2)) (sqrt (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* (* a a) r) (/ 1 (pow (cos (+ a b)) -1)) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3)))
5.0ms	a	@	inf	((/ -1 (/ -1 (sin b))) (/ (* r (sin b)) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a)))) (* 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 (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b))) (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/ -1 (/ -1 (cos (+ a b)))) (cos a) (pow (sqrt (sin b)) 2) (/ (* r (pow (sqrt (sin b)) 2)) (/ 1 (pow (cos (+ a b)) -1))) (* r (pow (sqrt (sin b)) 2)) (sqrt (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (+ (* (/ -1 (/ -1 (sin b))) (neg (sin a))) (* (cos b) (cos a))) (* (* a a) r) (/ 1 (pow (cos (+ a b)) -1)) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3)))

simplify178.0ms (1.5%)

Memory

-4.0MiB live, 153.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 512×	`lower-fma.f64`
6 512×	`lower-fma.f32`
5 620×	`lower-*.f64`
5 620×	`lower-*.f32`
1 752×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	566	6713
1	1741	6389
2	5933	6282
0	8353	6041

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 559

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)))
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(/ (* r (sin b)) (cos b))
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(* b r)
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r
(+ r (* 1/2 (* (pow a 2) r)))
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r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* 1/2 (* (pow a 2) r)))
(/ (* r (sin b)) (cos b))
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(/ (cos b) (sin b))
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(cos b)
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1
(+ 1 (* -1/2 (pow a 2)))
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(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
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(cos (* -1 b))
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(/ (* r (sin b)) (cos (* -1 b)))
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(cos b)
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(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(cos b)
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(* -1 b)
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(pow b 3)
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(* 1/2 (* (pow a 2) r))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
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(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
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(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
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(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1))
(pow a 3)
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(/ (* 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))))
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(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(* 1/2 (* (pow a 2) r))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(+ (* -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)))
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(* -1 a)
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a)))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a) (pow b 2))) a))) a)))))
(pow a 3)
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (cos a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b 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)))))))
(sqrt b)
(+ (sqrt b) (* -1/12 (sqrt (pow b 5))))
(+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* 1/240 (sqrt (pow b 3))))))
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(cos (* -1 a))
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(/ (* b r) (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))
(cos a)
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(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
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(* -1 a)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(pow a 3)
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(+ (pow a 3) (pow b 3))
(sin b)
(sin b)
(sin b)
(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 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))
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sqrt (sin b))
(sqrt (sin b))
(sqrt (sin b))
(sqrt (sin b))
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(* -1 b)
(* b (- (* -1 (/ a b)) 1))
(* b (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b))))
(* b (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2)))))))
(pow b 3)
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(sin b)
(sin b)
(sin b)
(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)) (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)))
(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))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sqrt (sin b))
(sqrt (sin b))
(sqrt (sin b))
(sqrt (sin b))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(* -1 b)
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)))))
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b) (pow a 2))) b))) b)))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 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))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(/ r (cos a))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(* r (+ 1 (* 1/2 (pow a 2))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(* (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)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (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 (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(* (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)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (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 (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)
(* (pow a 2) r)

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

rewrite184.0ms (1.6%)

Memory

3.7MiB live, 240.4MiB allocated

Rules

5 016×	`lower-fma.f32`
5 010×	`lower-fma.f64`
4 634×	`lower-*.f32`
4 624×	`lower-*.f64`
4 186×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	266
0	86	245
1	322	170
2	2020	170
0	8647	170

Stop Event

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

Counts

23 → 798

Calls

Call 1

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

Outputs
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eval202.0ms (1.7%)

Memory: 23.7MiB live, 471.4MiB allocated
Compiler: Compiled 31 654 to 2 730 computations (91.4% saved)

prune247.0ms (2.1%)

Memory

21.8MiB live, 499.0MiB allocated

Pruning

100 alts after pruning (92 fresh and 8 done)

	Pruned	Kept	Total
New	1 508	29	1 537
Fresh	18	63	81
Picked	1	4	5
Done	1	4	5
Total	1 528	100	1 628

Accuracy

100.0%

Counts

1 628 → 100

Alt Table

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Status	Accuracy	Program
	98.6%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	46.9%	(/.f64 (.f64 (.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
	26.0%	(/.f64 (*.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
	46.9%	(/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	28.8%	(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 b)))
✓	26.0%	(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
	20.1%	(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) #s(approx (cos a) #s(literal 1 binary64))))
	35.1%	(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (fabs.f64 (sin.f64 b))) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
	99.5%	(/.f64 (.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	61.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	57.0%	(/.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))))))
	61.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (cos.f64 b))))
	55.3%	(/.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))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	54.5%	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64))))
	50.5%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	60.0%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
	53.6%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	38.4%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) b (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
	38.4%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
	36.0%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
	22.7%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
	42.2%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (+.f64 a b) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
	21.3%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal -1 binary64)))))
	45.7%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ ( (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 a b) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a b)))) b))))
	62.5%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ ( (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b))))
	57.4%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	60.0%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 b)))
✓	56.9%	(/.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))))
	56.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* -1/2 (cos b)) a) (*.f64 #s(literal -1/2 binary64) a)) (sin.f64 b)) a (cos.f64 b))))
	35.2%	(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
	73.2%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	73.1%	(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
	49.3%	(/.f64 #s(approx (* r (pow (sqrt (sin b)) 2)) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
	50.2%	(/.f64 #s(approx (* r (pow (sqrt (sin b)) 2)) (*.f64 b r)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
	49.7%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	50.2%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	50.1%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	99.4%	(/.f64 r (fma.f64 (.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
	47.0%	(/.f64 r (/.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (sqrt.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))
	99.5%	(/.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 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b)))
	34.7%	(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
	34.8%	(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))))
	73.1%	(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))
	53.6%	(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a)))) (sin.f64 b)))
	84.6%	(/.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))))
	46.1%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 b)))
	67.2%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
	60.0%	(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 b)) (sin.f64 b)))
	26.0%	(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))))
✓	53.6%	(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b)))
	37.3%	(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sin.f64 b)))
	40.8%	(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b)))
	73.1%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	99.5%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	26.0%	(/.f64 r (*.f64 (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 b)))))
	73.1%	(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))
	50.8%	(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
	54.0%	(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
	50.2%	(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (cos.f64 a) b)))
	57.4%	(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	52.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)) (*.f64 r (sin.f64 b))))
	99.2%	(.f64 (/.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (cos.f64 (-.f64 a b)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
	73.6%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))))) (cos.f64 (-.f64 b a)))
	73.7%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
	99.5%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (.f64 (cos.f64 (-.f64 b a)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))) (cos.f64 (-.f64 b a)))
	59.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
	60.0%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	60.7%	(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
	55.7%	(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
	73.6%	(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
	73.6%	(.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
	73.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	53.7%	(*.f64 (/.f64 (sin.f64 b) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))) r)
	53.7%	(*.f64 (/.f64 r #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a))) (sin.f64 b))
	73.1%	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	73.2%	(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
	53.7%	(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))))
	73.1%	(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	24.1%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	60.0%	#s(approx (/ (* r (pow (sqrt (sin b)) 2)) (/ 1 (pow (cos (+ a b)) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
✓	50.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	36.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	36.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	36.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
	50.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
	29.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
✓	30.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
	17.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
	11.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
✓	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 4 151 to 1 865 computations (55.1% saved)

regimes308.0ms (2.6%)

Memory

-69.6MiB live, 372.7MiB allocated

Counts

158 → 1

Calls

Call 1

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

85.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
73.0ms	r
60.0ms	a
43.0ms	b

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes170.0ms (1.5%)

Memory

42.0MiB live, 301.1MiB allocated

Counts

135 → 1

Calls

Call 1

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

44.0ms	a
42.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
40.0ms	r
36.0ms	b

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes158.0ms (1.4%)

Memory

-1.2MiB live, 329.4MiB allocated

Counts

134 → 1

Calls

Call 1

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

41.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
38.0ms	b
37.0ms	a
36.0ms	r

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes211.0ms (1.8%)

Memory

6.1MiB live, 245.4MiB allocated

Counts

133 → 1

Calls

Call 1

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

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

Calls

4 calls:

93.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
38.0ms	r
37.0ms	a
37.0ms	b

Results

Accuracy	Segments	Branch
73.7%	1	`r`
73.7%	1	`a`
73.7%	1	`b`
73.7%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes170.0ms (1.5%)

Memory

-27.4MiB live, 253.0MiB 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 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 #s(approx (* r (pow (sqrt (sin b)) 2)) (*.f64 b r)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
(/.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 (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 #s(approx (* r (pow (sqrt (sin b)) 2)) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sin.f64 b)))
(/.f64 #s(approx (* 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 r (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* r (pow (sqrt (sin b)) 2)) (/ 1 (pow (cos (+ a b)) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 b)))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) #s(approx (/ 1 (pow (cos (+ a b)) -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 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 (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (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 #s(approx (/ (/ -1 (/ -1 (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 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) #s(approx (cos a) #s(literal 1 binary64))))
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (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 a b)))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ ( (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b))))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
(/.f64 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 a b))) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a)))) (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 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 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 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (+.f64 a b) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) b (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ ( (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 a b) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a b)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (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 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 b)))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (fabs.f64 (sin.f64 b))) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* -1/2 (cos b)) a) (*.f64 #s(literal -1/2 binary64) a)) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))))
(/.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 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #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 (.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (+.f64 a b)))))
(/.f64 r (*.f64 (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 b)))))
(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 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 (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 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 (*.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(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 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) 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)) (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 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #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 (.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))

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

Calls

4 calls:

36.0ms	a
34.0ms	r
33.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
33.0ms	b

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes162.0ms (1.4%)

Memory

15.3MiB live, 283.6MiB 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 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a a) r) #s(literal 5/24 binary64))) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 #s(approx (* r (pow (sqrt (sin b)) 2)) (*.f64 b r)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
(/.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 (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 #s(approx (* r (pow (sqrt (sin b)) 2)) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sin.f64 b)))
(/.f64 #s(approx (* 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 r (.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (/ 1 (pow (cos (+ a b)) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* r (pow (sqrt (sin b)) 2)) (/ 1 (pow (cos (+ a b)) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 b)))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) #s(approx (/ 1 (pow (cos (+ a b)) -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 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 (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (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 #s(approx (/ (/ -1 (/ -1 (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 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (.f64 (neg.f64 r) (sin.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) #s(approx (cos a) #s(literal 1 binary64))))
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (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 a b)))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ ( (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b))))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
(/.f64 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 a b))) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a)))) (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 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 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 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (+.f64 a b) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) b (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ ( (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 a b) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 a b)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (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 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 b)))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (fabs.f64 (sin.f64 b))) #s(literal 2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* -1/2 (cos b)) a) (*.f64 #s(literal -1/2 binary64) a)) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))))
(/.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 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (/ -1 (/ -1 (cos (+ a b)))) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/3 binary64) (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #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 (.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (+.f64 a b)))))
(/.f64 r (*.f64 (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) (cos.f64 a)) (sqrt.f64 (sin.f64 b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 b)))))
(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 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 (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 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(/.f64 (*.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (pow (cos (+ a b)) -1)) (cos.f64 a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(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 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 #s(approx (cos (- b a)) (cos.f64 b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) 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)) (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 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))))
(/.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #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))))

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

Calls

4 calls:

47.0ms	b
38.0ms	a
37.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
33.0ms	r

Results

Accuracy	Segments	Branch
73.2%	1	`r`
73.2%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
73.2%	1	`a`
73.2%	1	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes46.0ms (0.4%)

Memory

4.2MiB live, 86.9MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
63.4%	3	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
73.4%	3	`b`
60.0%	1	`r`
72.9%	3	`a`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes11.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
73.4%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes33.0ms (0.3%)

Memory

-9.8MiB live, 67.2MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

8.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
8.0ms	b
8.0ms	a
7.0ms	r

Results

Accuracy	Segments	Branch
50.3%	1	`r`
50.3%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
50.3%	1	`a`
54.4%	3	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory

-26.0MiB live, 18.2MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
54.3%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

30.5MiB live, 30.5MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	b
5.0ms	a

Results

Accuracy	Segments	Branch
50.3%	1	`a`
50.3%	1	`b`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes15.0ms (0.1%)

Memory

-18.5MiB live, 18.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
50.2%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
50.2%	1	`r`
50.2%	1	`b`
50.2%	1	`a`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes15.0ms (0.1%)

Memory

-4.4MiB live, 32.6MiB allocated

Accuracy

Total -19.1b remaining (-47.2%)

Threshold costs -19.1b (-47.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
36.7%	1	`r`
36.7%	1	`a`
36.7%	1	`b`
36.7%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch31.0ms (0.3%)

Memory

4.1MiB live, 41.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	13737283019.043604	25534757881560.223
5.0ms	-4.5638205958857895e-6	-4.002445822895401e-6

Samples

15.0ms	92×	1	valid
7.0ms	68×	0	valid

Compiler

Compiled 162 to 184 computations (-13.6% saved)

Precisions

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

ival-sin: 5.0ms (30.3% of total)

ival-cos: 5.0ms (30.3% of total)

adjust: 2.0ms (12.1% of total)

ival-add: 1.0ms (6.1% of total)

ival-div: 1.0ms (6.1% of total)

ival-mult: 1.0ms (6.1% of total)

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

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	13737283019.043604	25534757881560.223
0.0ms	-4.5638205958857895e-6	-4.002445822895401e-6

Compiler

Compiled 162 to 184 computations (-13.6% saved)

bsearch62.0ms (0.5%)

Memory

-12.9MiB live, 80.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	1.809420869411533e-22	721.8964915556378
29.0ms	-2403051301560.5737	-31153.63528790399

Samples

26.0ms	146×	1	valid
19.0ms	174×	0	valid

Compiler

Compiled 592 to 514 computations (13.2% saved)

Precisions

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

ival-sin: 14.0ms (38.9% of total)

ival-cos: 12.0ms (33.3% of total)

ival-add: 2.0ms (5.6% of total)

ival-div: 2.0ms (5.6% of total)

adjust: 2.0ms (5.6% of total)

ival-mult: 2.0ms (5.6% of total)

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

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

bsearch46.0ms (0.4%)

Memory

28.1MiB live, 65.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.809420869411533e-22	721.8964915556378
25.0ms	-2403051301560.5737	-31153.63528790399

Samples

22.0ms	146×	1	valid
11.0ms	110×	0	valid

Compiler

Compiled 312 to 374 computations (-19.9% saved)

Precisions

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

ival-cos: 10.0ms (40.5% of total)

ival-sin: 6.0ms (24.3% of total)

ival-add: 2.0ms (8.1% of total)

ival-div: 2.0ms (8.1% of total)

adjust: 2.0ms (8.1% of total)

ival-mult: 2.0ms (8.1% of total)

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

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

simplify87.0ms (0.7%)

Memory

-32.4MiB live, 92.6MiB allocated

Algorithm

1×	egg-herbie

Rules

558×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
322×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
294×	`neg-mul-1-binary64-*.f64-neg.f64`
274×	`neg-sub0-binary64--.f64-neg.f64`
242×	`cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	402
1	142	402
2	168	402
3	193	402
4	231	402
5	305	402
6	383	402
7	507	402
8	615	402
9	708	402
10	813	402
11	956	402
12	1140	402
13	1348	402
14	1515	402
15	1618	402
16	1671	402
17	1699	402
18	1706	402
19	1707	402
20	1707	402

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 (.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 b #s(literal -2597301565578305/590295810358705651712 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 14000000000 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -2597301565578305/590295810358705651712 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 14000000000 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -45000 binary64)) (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b))) (if (<=.f64 b #s(literal 22 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 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b)))))
(if (<=.f64 b #s(literal -270000000000 binary64)) (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b))) (if (<=.f64 b #s(literal 5224175567749775/9007199254740992 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#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 (.f64 (sin.f64 b) r) (*.f64 (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))) #s(literal 1/2 binary64))) (cos.f64 (-.f64 b a)))
(.f64 (cos.f64 (-.f64 b a)) (/.f64 (.f64 (sin.f64 b) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b))))))
(.f64 (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 b #s(literal -2597301565578305/590295810358705651712 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 14000000000 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -2597301565578305/590295810358705651712 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 14000000000 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -2597301565578305/590295810358705651712 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 14000000000 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -45000 binary64)) (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b))) (if (<=.f64 b #s(literal 22 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 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b)))))
(if (<=.f64 b #s(literal -270000000000 binary64)) (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b))) (if (<=.f64 b #s(literal 5224175567749775/9007199254740992 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 r (/.f64 #s(approx (/ -1 (/ -1 (cos (+ a b)))) #s(approx (cos a) #s(literal 1 binary64))) (sin.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

soundness1.3s (11%)

Memory

26.8MiB live, 594.9MiB allocated

Rules

10 934×	`lower-fma.f64`
10 934×	`lower-fma.f32`
8 302×	`lower-fma.f64`
8 302×	`lower-fma.f32`
7 808×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	410	5739
1	1258	5496
2	4018	5444
0	8188	5244
0	424	5799
1	1363	5479
2	4437	5363
0	8082	5163
0	36	163
0	62	183
1	212	141
2	1232	141
0	8339	141
0	167	960
1	517	928
2	1602	886
3	5424	885
0	8361	853
0	43	175
0	70	172
1	251	140
2	1534	140
0	8425	140
0	8	19
0	13	19
1	44	19
2	234	19
3	2050	19
0	8441	19
0	566	6713
1	1741	6389
2	5933	6282
0	8353	6041

Stop Event

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

Compiler

Compiled 567 to 312 computations (45% saved)

preprocess267.0ms (2.3%)

Memory: -9.5MiB live, 70.1MiB allocated
Remove: (negabs r)
Compiler: Compiled 754 to 340 computations (54.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze325.0ms (2.8%)

sample2.5s (21.2%)

explain145.0ms (1.2%)

preprocess111.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize43.0ms (0.4%)

series74.0ms (0.6%)

simplify163.0ms (1.4%)

rewrite197.0ms (1.7%)

eval53.0ms (0.5%)

prune36.0ms (0.3%)

simplify267.0ms (2.3%)

localize368.0ms (3.2%)

series98.0ms (0.8%)

simplify227.0ms (1.9%)

rewrite189.0ms (1.6%)

eval353.0ms (3%)

prune333.0ms (2.9%)

simplify80.0ms (0.7%)

localize257.0ms (2.2%)

series85.0ms (0.7%)

simplify193.0ms (1.7%)

rewrite182.0ms (1.6%)

eval400.0ms (3.4%)

prune446.0ms (3.8%)

simplify111.0ms (1%)

localize227.0ms (1.9%)

series296.0ms (2.5%)

simplify178.0ms (1.5%)

rewrite184.0ms (1.6%)

eval202.0ms (1.7%)

prune247.0ms (2.1%)

regimes308.0ms (2.6%)

regimes170.0ms (1.5%)

regimes158.0ms (1.4%)

regimes211.0ms (1.8%)

regimes170.0ms (1.5%)

regimes162.0ms (1.4%)

regimes46.0ms (0.4%)

regimes11.0ms (0.1%)

regimes33.0ms (0.3%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch31.0ms (0.3%)

bsearch1.0ms (0%)

bsearch62.0ms (0.5%)

bsearch46.0ms (0.4%)

simplify87.0ms (0.7%)

soundness1.3s (11%)

preprocess267.0ms (2.3%)

end0.0ms (0%)

Profiling