Metrics for rsin B (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze269.0ms (2.2%)

Memory

15.0MiB live, 487.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (13.5%)

Memory

71.0MiB live, 2 733.9MiB allocated

Samples

1.0s	5 784×	1	valid
265.0ms	2 472×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 998.0ms

ival-cos: 349.0ms (35% of total)

ival-sin: 225.0ms (22.6% of total)

adjust: 118.0ms (11.8% of total)

ival-mult: 110.0ms (11% of total)

ival-div: 96.0ms (9.6% of total)

ival-add: 90.0ms (9% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain399.0ms (3.3%)

Memory

-161.9MiB live, 329.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
64	124	(4.29083211059448e+105 -1.1221776436945084e-140 1.511838854901516e+293)	-	`(cos.f64 (+.f64 a b))`
0	0	-	-	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
0	0	-	-	`(+.f64 a b)`
0	0	-	-	`(sin.f64 b)`
0	0	-	-	`a`
0	0	-	-	`r`
0	0	-	-	`b`
0	0	-	-	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (+.f64 a b))`	sensitivity	188	1

Confusion

	Predicted +	Predicted -
+	64	0
-	124	68

Precision

0.3404255319148936

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	0
-	124	1	67

Precision?

0.3386243386243386

Recall?

1.0

Freqs

test

number	freq
0	68
1	188

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

276.0ms	154×	0	valid
65.0ms	358×	1	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 319.0ms

ival-add: 270.0ms (84.7% of total)

ival-cos: 16.0ms (5% of total)

ival-sin: 11.0ms (3.5% of total)

ival-div: 7.0ms (2.2% of total)

adjust: 6.0ms (1.9% of total)

ival-mult: 6.0ms (1.9% of total)

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

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

preprocess99.0ms (0.8%)

Memory

19.1MiB live, 58.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs r)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.8%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

Memory

-29.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (0.4%)

Memory

25.8MiB live, 118.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 b)
accuracy	0.16796875	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy	0.19921875	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	13.526269723076476	(cos.f64 (+.f64 a b))

Samples

34.0ms	179×	1	valid
9.0ms	77×	0	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-cos: 8.0ms (28.7% of total)

ival-sin: 6.0ms (21.5% of total)

ival-mult: 6.0ms (21.5% of total)

ival-add: 3.0ms (10.8% of total)

adjust: 3.0ms (10.8% of total)

ival-div: 2.0ms (7.2% of total)

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

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

series19.0ms (0.2%)

Memory

-1.5MiB live, 37.6MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))>
#<alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))>
#<alt (sin.f64 b)>
#<alt (cos.f64 (+.f64 a b))>

Outputs
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<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)))>
#<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)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>

Calls

24 calls:

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

simplify372.0ms (3%)

Memory

-15.6MiB live, 492.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	1226
1	660	1174
2	2069	1116
3	7705	1116
0	8285	1075

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

rewrite309.0ms (2.5%)

Memory

16.7MiB live, 481.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 160

Calls

Call 1

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

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

eval34.0ms (0.3%)

Memory: -5.8MiB live, 79.9MiB allocated
Compiler: Compiled 4 900 to 748 computations (84.7% saved)

prune50.0ms (0.4%)

Memory

31.2MiB live, 109.7MiB allocated

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	223	32	255
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	224	32	256

Accuracy

99.8%

Counts

256 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.6%	(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
▶	78.7%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
	78.6%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	77.8%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	78.7%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	77.8%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
▶	78.5%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	78.6%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	78.7%	(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
	37.4%	(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	78.6%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
	77.7%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
▶	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	97.9%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
	55.5%	(.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))))
	58.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
▶	58.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
	59.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))))
	54.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))))
	61.1%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
	56.3%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	52.1%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
	51.9%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
	78.6%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	78.7%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
	78.7%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	52.0%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	34.7%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	57.3%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (.f64 r (.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
	61.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
▶	52.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))

Compiler

Compiled 1 214 to 738 computations (39.2% saved)

simplify421.0ms (3.4%)

Memory

-12.8MiB live, 276.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
cost-diff	6080	(fma.f64 a (-.f64 (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
cost-diff	0	(cos.f64 (+.f64 b a))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
cost-diff	1088	(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
cost-diff	0	(cos.f64 (+.f64 b a))
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 b a)))
cost-diff	0	(cos.f64 a)
cost-diff	0	(/.f64 r (cos.f64 a))
cost-diff	0	(*.f64 b (/.f64 r (cos.f64 a)))
cost-diff	0	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
cost-diff	0	(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
cost-diff	0	(sin.f64 b)
cost-diff	320	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
cost-diff	6016	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))

Rules

3 760×	`lower-fma.f32`
3 756×	`lower-fma.f64`
2 688×	`lower-*.f32`
2 672×	`lower-*.f64`
2 360×	`lower-/.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	38	262
0	66	256
1	102	256
2	154	256
3	289	256
4	502	256
5	752	256
6	1157	252
7	2012	252
8	2817	252
9	3622	252
10	4566	252
11	5135	252
12	5290	252
13	5390	252
14	6186	252
15	6554	252
16	6746	252
17	6950	252
18	6974	252
19	6974	252
20	6974	252
21	6974	252
22	7920	252
0	8314	252

Stop Event

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

Calls

Call 1

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

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

localize246.0ms (2%)

Memory

-18.5MiB live, 333.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)))
accuracy	0.16796875	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
accuracy	0.19921875	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
accuracy	29.948646852016843	#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))
accuracy	0.21484375	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
accuracy	0.27734375	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
accuracy	0.296875	(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))
accuracy	13.526269723076478	(cos.f64 (+.f64 b a))
accuracy	0	(sin.f64 b)
accuracy	0.140625	(*.f64 r (sin.f64 b))
accuracy	0.2578125	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
accuracy	13.526269723076478	(cos.f64 (+.f64 b a))
accuracy	0	(cos.f64 a)
accuracy	0.12109375	(/.f64 r (cos.f64 a))
accuracy	0.125	(*.f64 b (/.f64 r (cos.f64 a)))
accuracy	30.66988073069785	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
accuracy	0.0859375	(*.f64 (cos.f64 a) (cos.f64 b))
accuracy	0.12404252930532605	(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy	0.16796875	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
accuracy	0.19921875	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))

Samples

155.0ms	179×	1	valid
34.0ms	77×	0	valid

Compiler

Compiled 219 to 37 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-sin: 45.0ms (28.7% of total)

ival-mult: 40.0ms (25.5% of total)

ival-cos: 33.0ms (21.1% of total)

ival-div: 15.0ms (9.6% of total)

adjust: 11.0ms (7% of total)

ival-add: 8.0ms (5.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series121.0ms (1%)

Memory

23.2MiB live, 180.6MiB allocated

Counts

20 → 528

Calls

Call 1

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

Outputs
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
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#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 a)>
#<alt (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))>
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))>
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>
#<alt (* -1/2 (* a (cos b)))>

Calls

132 calls:

Time	Variable		Point	Expression
23.0ms	b	@	inf	(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))
7.0ms	b	@	0	(* a (* -1/2 (cos b)))
6.0ms	r	@	inf	(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))
3.0ms	r	@	0	(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))
3.0ms	a	@	inf	(/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))

simplify401.0ms (3.3%)

Memory

-15.1MiB live, 588.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 806×	`lower-fma.f64`
8 806×	`lower-fma.f32`
7 806×	`lower-*.f64`
7 806×	`lower-*.f32`
2 020×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	6717
1	1627	6416
2	5608	6285
0	8829	6061

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 526

Calls

Call 1

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

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

rewrite473.0ms (3.9%)

Memory

18.7MiB live, 566.3MiB allocated

Rules

5 200×	`lower-fma.f32`
5 196×	`lower-fma.f64`
4 172×	`lower-/.f32`
4 158×	`lower-/.f64`
3 850×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	199
0	66	214
1	229	172
2	1429	172
0	8468	172

Stop Event

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

Counts

20 → 857

Calls

Call 1

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

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

eval274.0ms (2.2%)

Memory: 24.6MiB live, 511.4MiB allocated
Compiler: Compiled 39 850 to 2 644 computations (93.4% saved)

prune317.0ms (2.6%)

Memory

11.3MiB live, 582.5MiB allocated

Pruning

72 alts after pruning (69 fresh and 3 done)

	Pruned	Kept	Total
New	1 621	61	1 682
Fresh	19	8	27
Picked	2	3	5
Done	0	0	0
Total	1 642	72	1 714

Accuracy

100.0%

Counts

1 714 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.6%	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
	58.1%	(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) r))
	77.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
	36.8%	(/.f64 (.f64 r (.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 b a)))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
	84.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))
	98.0%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))))) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
	97.9%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (.f64 (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (.f64 (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b))))))
✓	78.7%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
	54.0%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))))
	58.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 a (sin.f64 (neg.f64 b)) (.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
	59.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
	61.1%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 b)))
	56.3%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a)))
	52.1%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b))) (cos.f64 (+.f64 b a)))
	78.5%	(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
	51.9%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))) (cos.f64 (+.f64 b a)))
	52.0%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
	78.6%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	77.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
	77.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 r))))
	77.8%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
	77.8%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))))
	59.3%	(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	98.0%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b))))
	97.9%	(.f64 (/.f64 r (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
	78.7%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	84.3%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	78.5%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
	51.8%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
	78.6%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) r))
▶	51.9%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
	60.9%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	56.2%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	97.8%	(.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (.f64 (sin.f64 (neg.f64 b)) (.f64 (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	78.6%	(*.f64 (sin.f64 (neg.f64 b)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
	78.7%	(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
	37.4%	(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
	58.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
	58.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
▶	62.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))
	57.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 a)))))
▶	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
	54.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))))
	61.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
	56.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
	30.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
	34.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
	35.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	7.2%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (.f64 a (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
	51.9%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
	78.6%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	78.7%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
	78.7%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	52.0%	(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
	34.7%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	51.9%	#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
	51.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 b r)))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))))
✓	52.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
	32.7%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	32.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	32.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	27.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
	29.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
▶	34.4%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))

Compiler

Compiled 3 311 to 1 791 computations (45.9% saved)

simplify324.0ms (2.6%)

Memory

-28.8MiB live, 297.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))
cost-diff	0	(sin.f64 b)
cost-diff	320	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))
cost-diff	6016	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
cost-diff	0	(cos.f64 (+.f64 b a))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
cost-diff	1088	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
cost-diff	0	(+.f64 b a)
cost-diff	0	(cos.f64 (+.f64 b a))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
cost-diff	0	(*.f64 b r)
cost-diff	0	#s(approx (* b (/ r (cos a))) (*.f64 b r))
cost-diff	0	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
cost-diff	0	(sin.f64 b)
cost-diff	320	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
cost-diff	6016	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))

Rules

3 764×	`lower-fma.f32`
3 758×	`lower-fma.f64`
2 762×	`lower-*.f32`
2 748×	`lower-*.f64`
1 632×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	287
0	75	285
1	125	279
2	186	279
3	299	276
4	438	276
5	615	276
6	1112	270
7	2161	268
8	3845	268
9	5180	268
10	6285	268
11	6953	268
12	7492	268
13	7637	268
14	7720	268
0	8011	265

Stop Event

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

Calls

Call 1

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

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

localize253.0ms (2.1%)

Memory

5.3MiB live, 430.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12404252930532605	(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))
accuracy	0.16796875	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))
accuracy	0.19921875	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
accuracy	27.071109640515562	#s(approx (* (cos a) (cos b)) (cos.f64 b))
accuracy	0	(sin.f64 b)
accuracy	0.19921875	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
accuracy	0.31869125976844204	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
accuracy	13.526269723076478	(cos.f64 (+.f64 b a))
accuracy	0.21484375	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
accuracy	0.27734375	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
accuracy	13.526269723076478	(cos.f64 (+.f64 b a))
accuracy	30.414723237364896	#s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r)))
accuracy	0	(*.f64 b r)
accuracy	23.18352195798285	#s(approx (* b (/ r (cos a))) (*.f64 b r))
accuracy	30.66988073069785	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
accuracy	0.12716472313939609	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
accuracy	0.16796875	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
accuracy	0.1796875	(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
accuracy	0.19921875	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))

Samples

151.0ms	179×	1	valid
44.0ms	77×	0	valid

Compiler

Compiled 248 to 44 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-mult: 55.0ms (33.8% of total)

ival-cos: 31.0ms (19% of total)

ival-div: 26.0ms (16% of total)

ival-sin: 20.0ms (12.3% of total)

adjust: 13.0ms (8% of total)

ival-add: 10.0ms (6.1% of total)

const: 5.0ms (3.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series108.0ms (0.9%)

Memory

-0.8MiB live, 226.2MiB allocated

Counts

19 → 516

Calls

Call 1

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

Outputs
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<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)))>
#<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)))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
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#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (* -1 (* a (sin b)))>
#<alt (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))>
#<alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* b (sin a)))>
#<alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))>
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>

Calls

129 calls:

Time	Variable		Point	Expression
16.0ms	a	@	-inf	(* r (/ (sin b) (cos (+ a b))))
4.0ms	r	@	-inf	(* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))))
2.0ms	b	@	inf	(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))))
2.0ms	r	@	0	(/ (/ (sin b) (cos (+ b a))) (/ 1 r))
2.0ms	r	@	0	(* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))))

simplify404.0ms (3.3%)

Memory

-21.2MiB live, 697.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 176×	`lower-fma.f64`
8 176×	`lower-fma.f32`
7 474×	`lower-*.f64`
7 474×	`lower-*.f32`
1 846×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	491	7120
1	1580	6732
2	5495	6646
0	8536	6438

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 509

Calls

Call 1

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

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

rewrite407.0ms (3.3%)

Memory

42.7MiB live, 595.1MiB allocated

Rules

4 464×	`lower-/.f32`
4 454×	`lower-/.f64`
4 196×	`lower-*.f32`
4 182×	`lower-*.f64`
4 040×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	212
0	75	231
1	257	183
2	1614	183
0	8337	183

Stop Event

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

Counts

19 → 739

Calls

Call 1

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

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

eval300.0ms (2.4%)

Memory: 1.4MiB live, 414.9MiB allocated
Compiler: Compiled 37 732 to 2 623 computations (93% saved)

prune338.0ms (2.8%)

Memory

16.2MiB live, 619.2MiB allocated

Pruning

86 alts after pruning (80 fresh and 6 done)

	Pruned	Kept	Total
New	1 519	29	1 548
Fresh	13	51	64
Picked	2	3	5
Done	0	3	3
Total	1 534	86	1 620

Accuracy

100.0%

Counts

1 620 → 86

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.5%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
	99.4%	(/.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (/.f64 #s(literal 1 binary64) r))
	84.4%	(/.f64 (/.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))) (/.f64 #s(literal 1 binary64) r))
	72.7%	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) r))
	65.5%	(/.f64 (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (/.f64 #s(literal 1 binary64) r))
	58.9%	(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (/.f64 #s(literal 1 binary64) r))
	61.0%	(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r))
	56.2%	(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
	77.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
▶	78.5%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
	84.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))
	98.0%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))))) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
✓	78.7%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
	54.0%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))))
	58.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 a (sin.f64 (neg.f64 b)) (.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
	59.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
	61.1%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 b)))
	56.3%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a)))
	52.1%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b))) (cos.f64 (+.f64 b a)))
	78.6%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	78.5%	(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
	51.9%	(/.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
	51.9%	(/.f64 #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 b (.f64 (*.f64 b r) #s(literal -1/6 binary64)) r))) (cos.f64 (+.f64 b a)))
	52.0%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
▶	62.6%	(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b)))
	62.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b)) r))
	77.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
	77.8%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
	77.8%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))))
	59.3%	(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	78.5%	(.f64 (/.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) r)))
	78.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
	98.0%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b))))
	62.7%	(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
	97.9%	(.f64 (/.f64 r (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
	78.7%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	52.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (fma.f64 b (fma.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)) (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (.f64 b b) #s(literal -1 binary64)))) (cos.f64 a)))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))))
	52.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
	33.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))))
	51.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))))
	60.9%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	34.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
	56.2%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	51.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
	97.8%	(.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (.f64 (sin.f64 (neg.f64 b)) (.f64 (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	78.7%	(.f64 (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (sin.f64 b))
	78.6%	(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r)))
	37.4%	(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
	58.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
	58.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
✓	62.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))
	57.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 a)))))
✓	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
	61.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 a (.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))))))
	62.6%	(.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))))
	62.7%	(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
	54.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))))
	61.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
	56.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
▶	30.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
	34.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
	35.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	7.2%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (.f64 a (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
	51.9%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
	78.6%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	78.7%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
	78.7%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	52.0%	(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
	34.7%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	51.9%	#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
	51.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 b r)))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))))
✓	52.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
	32.7%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	32.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	32.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	27.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
▶	29.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
✓	34.4%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))

Compiler

Compiled 3 703 to 2 076 computations (43.9% saved)

simplify345.0ms (2.8%)

Memory

-21.4MiB live, 620.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 b)
cost-diff	0	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))
cost-diff	0	(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b)))
cost-diff	6720	(/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b))
cost-diff	0	(cos.f64 (+.f64 b a))
cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
cost-diff	1088	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
cost-diff	0	#s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
cost-diff	0	#s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))
cost-diff	0	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))

Rules

10 106×	`lower-fma.f32`
10 092×	`lower-fma.f64`
3 320×	`lower-*.f32`
3 302×	`lower-*.f64`
2 336×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	485
0	107	461
1	192	459
2	373	459
3	767	459
4	1554	453
5	2739	453
6	5217	453
7	7391	453
0	8198	449

Stop Event

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

Calls

Call 1

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

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

localize351.0ms (2.9%)

Memory

-1.4MiB live, 687.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12404252930532605	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))
accuracy	0.22265625	(/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b))
accuracy	0.2890625	(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b)))
accuracy	27.071109640515562	#s(approx (* (cos a) (cos b)) (cos.f64 b))
accuracy	0.21484375	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
accuracy	0.27181625976844204	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
accuracy	0.31869125976844204	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
accuracy	13.526269723076476	(cos.f64 (+.f64 b a))
accuracy	3.5443663590418333	(fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a))
accuracy	10.476533601622886	(fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	25.574404578741266	#s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy	29.948646852016843	#s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
accuracy	0	(*.f64 a a)
accuracy	4.771276051708259	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
accuracy	28.17119776602909	#s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))
accuracy	30.66988073069785	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (cos.f64 a))
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
accuracy	0.16796875	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)))))
accuracy	0.19921875	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b))))

Samples

200.0ms	179×	1	valid
79.0ms	77×	0	valid

Compiler

Compiled 341 to 61 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-mult: 102.0ms (44.1% of total)

ival-cos: 34.0ms (14.7% of total)

ival-div: 25.0ms (10.8% of total)

ival-sin: 24.0ms (10.4% of total)

ival-add: 23.0ms (9.9% of total)

adjust: 17.0ms (7.4% of total)

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

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

exact: 1.0ms (0.4% of total)

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

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

series101.0ms (0.8%)

Memory

-1.6MiB live, 209.8MiB allocated

Counts

24 → 600

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))>
#<alt (.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)))))>
#<alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b))))>
#<alt (sin.f64 b)>
#<alt #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))>
#<alt #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))>
#<alt (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))>
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))>
#<alt (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))>
#<alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))>
#<alt #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))>
#<alt (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b))>
#<alt (/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b)))>
#<alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b)))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 a))>
#<alt (*.f64 a a)>
#<alt #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a))>
#<alt #s(approx (* (cos a) (cos b)) (cos.f64 b))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<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))))>
#<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))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<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)))>
#<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)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<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)))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (* 1/2 (* (pow a 2) (* b r)))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* 1/2 (* (pow a 2) (* b r)))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
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#<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)))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (+ 1/2 (* 5/24 (pow a 2)))))>
#<alt (+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 5/24 (* 61/720 (pow a 2)))))))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (/ 1 (cos a))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))>
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2))))>
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))>
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2))))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2))))>
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))>
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))>
#<alt (* (pow b 2) (- (* 1/4 (pow a 2)) 1/2))>
#<alt (* (pow b 2) (- (+ (* -1 (/ a b)) (* 1/4 (pow a 2))) 1/2))>
#<alt (* (pow b 2) (- (+ (* -1/2 (/ (pow a 2) (pow b 2))) (+ (* 1/4 (pow a 2)) (/ 1 (pow b 2)))) (+ 1/2 (/ a b))))>
#<alt (* (pow b 2) (- (+ (* -1/2 (/ (pow a 2) (pow b 2))) (+ (* 1/4 (pow a 2)) (/ 1 (pow b 2)))) (+ 1/2 (/ a b))))>
#<alt (* (pow b 2) (- (* 1/4 (pow a 2)) 1/2))>
#<alt (* (pow b 2) (- (+ (* -1 (/ a b)) (* 1/4 (pow a 2))) 1/2))>
#<alt (* (pow b 2) (- (+ (* -1 (/ (+ a (* -1 (/ (+ 1 (* -1/2 (pow a 2))) b))) b)) (* 1/4 (pow a 2))) 1/2))>
#<alt (* (pow b 2) (- (+ (* -1 (/ (+ a (* -1 (/ (+ 1 (* -1/2 (pow a 2))) b))) b)) (* 1/4 (pow a 2))) 1/2))>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))>
#<alt (* (pow a 2) (- (* 1/4 (pow b 2)) 1/2))>
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (* 1/4 (pow b 2))) 1/2))>
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* 1/4 (pow b 2)) (/ 1 (pow a 2))))) 1/2))>
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* 1/4 (pow b 2)) (/ 1 (pow a 2))))) 1/2))>
#<alt (* (pow a 2) (- (* 1/4 (pow b 2)) 1/2))>
#<alt (* (pow a 2) (- (+ (* -1 (/ b a)) (* 1/4 (pow b 2))) 1/2))>
#<alt (* (pow a 2) (- (+ (* -1 (/ (+ b (* -1 (/ (+ 1 (* -1/2 (pow b 2))) a))) a)) (* 1/4 (pow b 2))) 1/2))>
#<alt (* (pow a 2) (- (+ (* -1 (/ (+ b (* -1 (/ (+ 1 (* -1/2 (pow b 2))) a))) a)) (* 1/4 (pow b 2))) 1/2))>
#<alt (* -1 a)>
#<alt (- (* b (- (* 1/4 (pow a 2)) 1/2)) a)>
#<alt (- (* b (- (* 1/4 (pow a 2)) 1/2)) a)>
#<alt (- (* b (- (* 1/4 (pow a 2)) 1/2)) a)>
#<alt (* b (- (* 1/4 (pow a 2)) 1/2))>
#<alt (* b (- (+ (* -1 (/ a b)) (* 1/4 (pow a 2))) 1/2))>
#<alt (* b (- (+ (* -1 (/ a b)) (* 1/4 (pow a 2))) 1/2))>
#<alt (* b (- (+ (* -1 (/ a b)) (* 1/4 (pow a 2))) 1/2))>
#<alt (* b (- (* 1/4 (pow a 2)) 1/2))>
#<alt (* -1 (* b (+ (* -1 (- (* 1/4 (pow a 2)) 1/2)) (/ a b))))>
#<alt (* -1 (* b (+ (* -1 (- (* 1/4 (pow a 2)) 1/2)) (/ a b))))>
#<alt (* -1 (* b (+ (* -1 (- (* 1/4 (pow a 2)) 1/2)) (/ a b))))>
#<alt (* -1/2 b)>
#<alt (+ (* -1 a) (* -1/2 b))>
#<alt (+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))>
#<alt (+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))>
#<alt (* 1/4 (* (pow a 2) b))>
#<alt (* (pow a 2) (- (* 1/4 b) (/ 1 a)))>
#<alt (* (pow a 2) (- (+ (* -1/2 (/ b (pow a 2))) (* 1/4 b)) (/ 1 a)))>
#<alt (* (pow a 2) (- (+ (* -1/2 (/ b (pow a 2))) (* 1/4 b)) (/ 1 a)))>
#<alt (* 1/4 (* (pow a 2) b))>
#<alt (* (pow a 2) (- (* 1/4 b) (/ 1 a)))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/4 b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/4 b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>

Calls

150 calls:

Time	Variable		Point	Expression
4.0ms	r	@	inf	(* b (/ r (cos a)))
3.0ms	a	@	inf	(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))))
3.0ms	r	@	-inf	(/ r (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)))
2.0ms	r	@	0	(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))))
2.0ms	r	@	-inf	(* r (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))))

simplify569.0ms (4.6%)

Memory

3.0MiB live, 552.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 166×	`lower-fma.f64`
9 166×	`lower-fma.f32`
6 694×	`lower-*.f64`
6 694×	`lower-*.f32`
2 508×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	598	8521
1	1809	8009
2	5956	7932
0	8140	7598

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 599

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (cos b))
(+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
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))))
(sin b)
(sin b)
(sin b)
(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)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* 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 (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))))
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1
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b r) (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))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
1
(+ 1 (* 1/2 (pow a 2)))
(+ 1 (* (pow a 2) (+ 1/2 (* 5/24 (pow a 2)))))
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 5/24 (* 61/720 (pow a 2)))))))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(/ 1 (cos a))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(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)) (* -1/2 (* a (cos b))))))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2))))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))
(* (pow b 2) (- (* 1/4 (pow a 2)) 1/2))
(* (pow b 2) (- (+ (* -1 (/ a b)) (* 1/4 (pow a 2))) 1/2))
(* (pow b 2) (- (+ (* -1/2 (/ (pow a 2) (pow b 2))) (+ (* 1/4 (pow a 2)) (/ 1 (pow b 2)))) (+ 1/2 (/ a b))))
(* (pow b 2) (- (+ (* -1/2 (/ (pow a 2) (pow b 2))) (+ (* 1/4 (pow a 2)) (/ 1 (pow b 2)))) (+ 1/2 (/ a b))))
(* (pow b 2) (- (* 1/4 (pow a 2)) 1/2))
(* (pow b 2) (- (+ (* -1 (/ a b)) (* 1/4 (pow a 2))) 1/2))
(* (pow b 2) (- (+ (* -1 (/ (+ a (* -1 (/ (+ 1 (* -1/2 (pow a 2))) b))) b)) (* 1/4 (pow a 2))) 1/2))
(* (pow b 2) (- (+ (* -1 (/ (+ a (* -1 (/ (+ 1 (* -1/2 (pow a 2))) b))) b)) (* 1/4 (pow a 2))) 1/2))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))
(* (pow a 2) (- (* 1/4 (pow b 2)) 1/2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (* 1/4 (pow b 2))) 1/2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* 1/4 (pow b 2)) (/ 1 (pow a 2))))) 1/2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* 1/4 (pow b 2)) (/ 1 (pow a 2))))) 1/2))
(* (pow a 2) (- (* 1/4 (pow b 2)) 1/2))
(* (pow a 2) (- (+ (* -1 (/ b a)) (* 1/4 (pow b 2))) 1/2))
(* (pow a 2) (- (+ (* -1 (/ (+ b (* -1 (/ (+ 1 (* -1/2 (pow b 2))) a))) a)) (* 1/4 (pow b 2))) 1/2))
(* (pow a 2) (- (+ (* -1 (/ (+ b (* -1 (/ (+ 1 (* -1/2 (pow b 2))) a))) a)) (* 1/4 (pow b 2))) 1/2))
(* -1 a)
(- (* b (- (* 1/4 (pow a 2)) 1/2)) a)
(- (* b (- (* 1/4 (pow a 2)) 1/2)) a)
(- (* b (- (* 1/4 (pow a 2)) 1/2)) a)
(* b (- (* 1/4 (pow a 2)) 1/2))
(* b (- (+ (* -1 (/ a b)) (* 1/4 (pow a 2))) 1/2))
(* b (- (+ (* -1 (/ a b)) (* 1/4 (pow a 2))) 1/2))
(* b (- (+ (* -1 (/ a b)) (* 1/4 (pow a 2))) 1/2))
(* b (- (* 1/4 (pow a 2)) 1/2))
(* -1 (* b (+ (* -1 (- (* 1/4 (pow a 2)) 1/2)) (/ a b))))
(* -1 (* b (+ (* -1 (- (* 1/4 (pow a 2)) 1/2)) (/ a b))))
(* -1 (* b (+ (* -1 (- (* 1/4 (pow a 2)) 1/2)) (/ a b))))
(* -1/2 b)
(+ (* -1 a) (* -1/2 b))
(+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))
(+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))
(* 1/4 (* (pow a 2) b))
(* (pow a 2) (- (* 1/4 b) (/ 1 a)))
(* (pow a 2) (- (+ (* -1/2 (/ b (pow a 2))) (* 1/4 b)) (/ 1 a)))
(* (pow a 2) (- (+ (* -1/2 (/ b (pow a 2))) (* 1/4 b)) (/ 1 a)))
(* 1/4 (* (pow a 2) b))
(* (pow a 2) (- (* 1/4 b) (/ 1 a)))
(* (pow a 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/4 b)))
(* (pow a 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/4 b)))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(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)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))

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

rewrite348.0ms (2.8%)

Memory

19.7MiB live, 565.3MiB allocated

Rules

4 600×	`lower-*.f32`
4 582×	`lower-*.f64`
4 084×	`lower-fma.f32`
4 082×	`lower-/.f32`
4 070×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	386
0	107	382
1	406	354
2	2933	354
0	9078	350

Stop Event

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

Counts

24 → 791

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (cos.f64 a)))
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 1 binary64)))
(cos.f64 a)
(neg.f64 (neg.f64 (cos.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(/.f64 (cos.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 a)))
(/.f64 (neg.f64 (cos.f64 a)) #s(literal -1 binary64))
(pow.f64 (cos.f64 a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 a) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 a))
(*.f64 (cos.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 a)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 a) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) r))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 a b)))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 (neg.f64 b)) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) r))))
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 (neg.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (sin.f64 (neg.f64 b)) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) r))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 (neg.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (neg.f64 b)) r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) r)))
(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) r))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (.f64 r (sin.f64 b)))
(.f64 (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b))
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(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64)) #s(literal -1/8 binary64)) b) (+.f64 #s(literal 0 binary64) a) (.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/8 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 a a)))) (.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 a a) #s(literal -1/8 binary64)))) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) b) (+.f64 #s(literal 0 binary64) (fma.f64 a a (.f64 #s(literal 0 binary64) a))) (.f64 (fma.f64 (.f64 a a) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))))) (.f64 (fma.f64 (.f64 a a) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (.f64 #s(literal 0 binary64) a)))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) b) (+.f64 #s(literal 0 binary64) a) (.f64 (fma.f64 (.f64 a a) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 a a)))) (.f64 (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) (-.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (neg.f64 a))) (.f64 (-.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (neg.f64 a)) (.f64 a a))) (.f64 (-.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (neg.f64 a)) (-.f64 (.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (neg.f64 a))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 b (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (.f64 a (.f64 a a)))) (neg.f64 (fma.f64 b (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (fma.f64 a a (.f64 (.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) a)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 b (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (.f64 b (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b b)) (.f64 a (neg.f64 a))))) (neg.f64 (neg.f64 (-.f64 (.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (.f64 b (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) (neg.f64 (-.f64 (neg.f64 a) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (.f64 b (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (fma.f64 a (.f64 a a) (.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 b (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (neg.f64 a)) (fma.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b b)) (*.f64 a (neg.f64 a)))) #s(literal -1 binary64))
(.f64 (fma.f64 a (.f64 a a) (.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 b (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (.f64 b (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))))
(.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 b b)) (.f64 a (neg.f64 a))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (neg.f64 a))))
#s(approx (* (cos a) (cos b)) (cos.f64 b))

eval250.0ms (2%)

Memory: -4.8MiB live, 439.4MiB allocated
Compiler: Compiled 45 623 to 3 634 computations (92% saved)

prune302.0ms (2.5%)

Memory

10.3MiB live, 599.2MiB allocated

Pruning

92 alts after pruning (83 fresh and 9 done)

	Pruned	Kept	Total
New	1 421	25	1 446
Fresh	17	58	75
Picked	2	3	5
Done	0	6	6
Total	1 440	92	1 532

Accuracy

100.0%

Counts

1 532 → 92

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.5%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
	99.4%	(/.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) (/.f64 #s(literal 1 binary64) r))
	84.4%	(/.f64 (/.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))) (/.f64 #s(literal 1 binary64) r))
	72.7%	(/.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) r))
	65.5%	(/.f64 (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (/.f64 #s(literal 1 binary64) r))
	58.9%	(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (/.f64 #s(literal 1 binary64) r))
	59.3%	(/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) #s(literal -1/2 binary64)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
	78.4%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) r))
	60.9%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
	56.2%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
	84.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))
	98.0%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))))) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
✓	78.7%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
	54.0%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))))
	58.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 a (sin.f64 (neg.f64 b)) (.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
	61.1%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 b)))
	56.3%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a)))
	52.1%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b))) (cos.f64 (+.f64 b a)))
	78.6%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	78.6%	(/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 a b))))
	51.9%	(/.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
	51.9%	(/.f64 #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 b (.f64 (*.f64 b r) #s(literal -1/6 binary64)) r))) (cos.f64 (+.f64 b a)))
	52.0%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
	99.4%	(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)))
✓	62.6%	(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b)))
	57.5%	(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a))) (sin.f64 b)))
	62.6%	(/.f64 r (/.f64 (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
	61.0%	(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b)) (sin.f64 b)))
	62.5%	(/.f64 r (.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos a) (cos b)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	55.1%	(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)))
	51.9%	(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (cos.f64 a) b)))
	58.9%	(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	62.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b)) r))
	77.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
	77.8%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
	77.8%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))))
	59.3%	(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	78.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
	98.0%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b))))
	62.7%	(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
	97.9%	(.f64 (/.f64 r (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))))
	78.7%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	52.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (fma.f64 b (fma.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)) (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (.f64 b b) #s(literal -1 binary64)))) (cos.f64 a)))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))))
	33.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))))
	51.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))))
	34.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
	56.2%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	97.8%	(.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (.f64 (sin.f64 (neg.f64 b)) (.f64 (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	78.7%	(.f64 (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (sin.f64 b))
	37.4%	(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	79.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (pow.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cos.f64 b)))))
✓	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (cos.f64 b)))))
	56.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (cos a)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (cos.f64 b)))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
	58.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (/ 1 (/ 1 (cos a))) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
	58.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (/ 1 (/ 1 (cos a))) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
✓	62.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))
	57.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 a)))))
✓	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
	61.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 a (.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))))))
	62.6%	(.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))))
	62.7%	(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
	61.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
	56.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
	34.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
	35.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	34.9%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) #s(approx (+ (* b (+ (* b (+ (* a (* a 1/4)) -1/2)) (neg a))) (+ (* a (* a -1/2)) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))))))
	29.3%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
	51.9%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
	29.2%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
	78.7%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
	78.7%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	52.0%	(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))) (/.f64 b (cos.f64 a))))
	34.7%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	51.9%	#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
	51.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 b r)))
	51.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))))
✓	52.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
	32.7%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	32.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	32.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
	27.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
	27.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 r b)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
✓	29.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
	27.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (*.f64 b r))))
	10.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
✓	34.4%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
	8.8%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* 1/2 (* a a)) 1) (* b r)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) b))))

Compiler

Compiled 4 874 to 1 686 computations (65.4% saved)

regimes398.0ms (3.2%)

Memory

7.1MiB live, 416.2MiB allocated

Counts

148 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* 1/2 (* a a)) 1) (* b r)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 r b)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (cos.f64 a) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) #s(approx (+ (* b (+ (* b (+ (* a (* a 1/4)) -1/2)) (neg a))) (+ (* a (* a -1/2)) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))) (cos.f64 (+.f64 b a)))
(/.f64 #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 b (.f64 (*.f64 b r) #s(literal -1/6 binary64)) r))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b))) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b)) (sin.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) r))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (.f64 a (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
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(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))))) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))))

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

Calls

5 calls:

101.0ms	a
95.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
87.0ms	r
66.0ms	b
42.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes392.0ms (3.2%)

Memory

-20.6MiB live, 330.4MiB allocated

Counts

129 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* 1/2 (* a a)) 1) (* b r)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 r b)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (cos.f64 a) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) #s(approx (+ (* b (+ (* b (+ (* a (* a 1/4)) -1/2)) (neg a))) (+ (* a (* a -1/2)) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))) (cos.f64 (+.f64 b a)))
(/.f64 #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 b (.f64 (*.f64 b r) #s(literal -1/6 binary64)) r))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b))) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b)) (sin.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) r))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (.f64 a (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 r))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 a (sin.f64 (neg.f64 b)) (.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (/.f64 #s(literal 1 binary64) r))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) #s(literal -1/2 binary64)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) r))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (fma.f64 b (fma.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)) (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (.f64 b b) #s(literal -1 binary64)))) (cos.f64 a)))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))
(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
(.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
(/.f64 r (/.f64 (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b)))
(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(/.f64 r (.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos a) (cos b)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (/ 1 (/ 1 (cos a))) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b)) r))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 a (.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
(.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (/ 1 (/ 1 (cos a))) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (cos a)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (cos.f64 b)))))
(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(.f64 (/.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (.f64 r (.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))

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

Calls

5 calls:

89.0ms	a
87.0ms	r
80.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
65.0ms	b
44.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes198.0ms (1.6%)

Memory

21.6MiB live, 426.1MiB allocated

Counts

127 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* 1/2 (* a a)) 1) (* b r)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 r b)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (cos.f64 a) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) #s(approx (+ (* b (+ (* b (+ (* a (* a 1/4)) -1/2)) (neg a))) (+ (* a (* a -1/2)) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))) (cos.f64 (+.f64 b a)))
(/.f64 #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 b (.f64 (*.f64 b r) #s(literal -1/6 binary64)) r))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b))) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b)) (sin.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (sin.f64 b))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) r))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)))
(/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (.f64 a (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))))))))
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))
(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 r))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) r))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 a (sin.f64 (neg.f64 b)) (.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (/.f64 #s(literal 1 binary64) r))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) #s(literal -1/2 binary64)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) r))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (fma.f64 b (fma.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)) (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (.f64 b b) #s(literal -1 binary64)))) (cos.f64 a)))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))
(.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b))
(.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))))
(.f64 r (/.f64 (sin.f64 b) (+.f64 (.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(approx (* (cos a) (cos b)) (cos.f64 b)))))
(/.f64 r (/.f64 (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b)))
(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(/.f64 r (.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos a) (cos b)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (/ 1 (/ 1 (cos a))) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 b))) (sin.f64 b)) r))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 a (.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64))))
(.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos a) (cos b)) (cos.f64 b)))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (/ 1 (/ 1 (cos a))) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (cos a)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (cos.f64 b)))))
(/.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) r))
(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(.f64 (/.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 (.f64 r (.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 b a)))

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

Calls

5 calls:

44.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
40.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
38.0ms	b
35.0ms	a
34.0ms	r

Results

Accuracy	Segments	Branch
78.8%	1	`r`
78.8%	1	`a`
78.8%	1	`b`
78.8%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
78.8%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes69.0ms (0.6%)

Memory

7.8MiB live, 164.6MiB allocated

Counts

44 → 3

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* 1/2 (* a a)) 1) (* b r)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 r b)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (cos.f64 a) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) #s(approx (+ (* b (+ (* b (+ (* a (* a 1/4)) -1/2)) (neg a))) (+ (* a (* a -1/2)) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))) (cos.f64 (+.f64 b a)))
(/.f64 #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 b (.f64 (*.f64 b r) #s(literal -1/6 binary64)) r))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b))) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 b)))

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

Calls

5 calls:

14.0ms	b
14.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
14.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
13.0ms	a
12.0ms	r

Results

Accuracy	Segments	Branch
64.4%	3	`r`
67.0%	3	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
78.8%	3	`b`
78.8%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
78.8%	3	`a`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes14.0ms (0.1%)

Memory

-18.0MiB live, 20.5MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* 1/2 (* a a)) 1) (* b r)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 r b)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (cos.f64 a) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) #s(approx (+ (* b (+ (* b (+ (* a (* a 1/4)) -1/2)) (neg a))) (+ (* a (* a -1/2)) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))) (cos.f64 (+.f64 b a)))
(/.f64 #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 b (.f64 (*.f64 b r) #s(literal -1/6 binary64)) r))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b))) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
78.8%	3	`a`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes38.0ms (0.3%)

Memory

-6.4MiB live, 75.1MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* 1/2 (* a a)) 1) (* b r)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 r b)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (cos.f64 a) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) #s(approx (+ (* b (+ (* b (+ (* a (* a 1/4)) -1/2)) (neg a))) (+ (* a (* a -1/2)) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))) (cos.f64 (+.f64 b a)))
(/.f64 #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 b (.f64 (*.f64 b r) #s(literal -1/6 binary64)) r))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b))) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))

Outputs

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

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

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

Calls

3 calls:

13.0ms	a
11.0ms	b
11.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
78.7%	3	`b`
78.7%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
77.2%	3	`a`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes83.0ms (0.7%)

Memory

-36.4MiB live, 108.0MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* 1/2 (* a a)) 1) (* b r)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 r b)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (cos.f64 a) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) #s(approx (+ (* b (+ (* b (+ (* a (* a 1/4)) -1/2)) (neg a))) (+ (* a (* a -1/2)) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))) (cos.f64 (+.f64 b a)))
(/.f64 #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 b (.f64 (*.f64 b r) #s(literal -1/6 binary64)) r))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (.f64 (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b))) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))))

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
52.1%	1	`r`
52.1%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
52.1%	1	`a`
53.8%	2	`b`
53.7%	2	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes11.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* 1/2 (* a a)) 1) (* b r)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 r b)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (cos.f64 a) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) #s(approx (+ (* b (+ (* b (+ (* a (* a 1/4)) -1/2)) (neg a))) (+ (* a (* a -1/2)) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (*.f64 b r)) r))) (cos.f64 (+.f64 b a)))
(/.f64 #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 b (.f64 (*.f64 b r) #s(literal -1/6 binary64)) r))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (/.f64 #s(literal 1 binary64) r))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (.f64 b r)) r))))

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
53.8%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes80.0ms (0.6%)

Memory

-8.5MiB live, 65.8MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* 1/2 (* a a)) 1) (* b r)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 r b)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))) (/.f64 b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (sin b)) (/.f64 (cos.f64 a) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) #s(approx (+ (* b (+ (* b (+ (* a (* a 1/4)) -1/2)) (neg a))) (+ (* a (* a -1/2)) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) (/.f64 #s(literal 1 binary64) r))

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

Calls

5 calls:

45.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
11.0ms	a
8.0ms	b
7.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms	r

Results

Accuracy	Segments	Branch
52.0%	1	`a`
52.0%	1	`r`
52.0%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
52.0%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
52.0%	1	`b`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes29.0ms (0.2%)

Memory

23.8MiB live, 61.7MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* 1/2 (* a a)) 1) (* b r)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 r b)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (/.f64 b (cos.f64 a))))
(.f64 r #s(approx (/ (sin b) (+ ( (sin (neg b)) (sin a)) (* (/ 1 (/ 1 (cos a))) (cos b)))) (/.f64 b (cos.f64 a))))

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

Calls

5 calls:

7.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
5.0ms	b
5.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
5.0ms	a
5.0ms	r

Results

Accuracy	Segments	Branch
52.0%	1	`b`
52.0%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
52.0%	1	`r`
52.0%	1	`a`
52.0%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes24.0ms (0.2%)

Memory

-9.3MiB live, 37.2MiB allocated

Accuracy

Total -17.8b remaining (-42.3%)

Threshold costs -17.8b (-42.3%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* 1/2 (* a a)) 1) (* b r)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b #s(approx (/ r (cos a)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 r b)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (*.f64 b r))))

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

Calls

5 calls:

6.0ms	b
4.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	a
4.0ms	r

Results

Accuracy	Segments	Branch
34.4%	1	`r`
34.4%	1	`a`
34.4%	1	`b`
34.4%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
34.4%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch46.0ms (0.4%)

Memory

8.9MiB live, 85.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0027689670290954294	0.1452485231954852
25.0ms	-102.61110510628608	-1.8294837780475395e-10

Samples

22.0ms	121×	1	valid
11.0ms	151×	0	valid

Compiler

Compiled 423 to 286 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-cos: 7.0ms (32.4% of total)

ival-sin: 6.0ms (27.7% of total)

ival-add: 2.0ms (9.2% of total)

ival-div: 2.0ms (9.2% of total)

adjust: 2.0ms (9.2% of total)

ival-mult: 2.0ms (9.2% of total)

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

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0027689670290954294	0.1452485231954852
1.0ms	-102.61110510628608	-1.8294837780475395e-10

Compiler

Compiled 423 to 286 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0542455731913049e-11	5.799021808032227e-8
0.0ms	-0.0034802572258243528	-7.91355668686615e-9

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch24.0ms (0.2%)

Memory

-6.0MiB live, 31.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-95.05444306186594	-0.006484618643598342

Samples

10.0ms	53×	1	valid
8.0ms	75×	0	valid

Compiler

Compiled 351 to 214 computations (39% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 6.0ms (43.1% of total)

ival-sin: 4.0ms (28.7% of total)

ival-add: 1.0ms (7.2% of total)

ival-div: 1.0ms (7.2% of total)

adjust: 1.0ms (7.2% of total)

ival-mult: 1.0ms (7.2% of total)

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

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

bsearch16.0ms (0.1%)

Memory

-6.9MiB live, 36.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-95.05444306186594	-0.006484618643598342

Samples

9.0ms	33×	1	valid
3.0ms	31×	0	valid

Compiler

Compiled 311 to 198 computations (36.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (38.8% of total)

ival-sin: 2.0ms (19.4% of total)

ival-cos: 2.0ms (19.4% of total)

ival-add: 1.0ms (9.7% of total)

adjust: 1.0ms (9.7% of total)

ival-mult: 1.0ms (9.7% of total)

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

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

simplify11.0ms (0.1%)

Memory

-15.9MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	364
1	129	364
2	140	364
3	146	364
4	148	364

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -4980620899901579/36893488147419103232 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 6456360425798343/2305843009213693952 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -4980620899901579/36893488147419103232 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 6456360425798343/2305843009213693952 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r (cos.f64 a)))) #s(approx ( r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -72 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))))
(if (<=.f64 b #s(literal -30 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))

Outputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(if (<=.f64 a #s(literal -4980620899901579/36893488147419103232 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 6456360425798343/2305843009213693952 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -4980620899901579/36893488147419103232 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 6456360425798343/2305843009213693952 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r (cos.f64 a)))) #s(approx ( r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 b (/.f64 r (cos.f64 a)))) #s(approx ( r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -72 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))))
(if (<=.f64 b #s(literal -72 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 b a)))))
(if (<=.f64 b #s(literal -30 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))))
(if (<=.f64 b #s(literal -30 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 b a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))

soundness817.0ms (6.7%)

Memory

36.3MiB live, 749.6MiB allocated

Rules

9 408×	`lower-fma.f64`
9 408×	`lower-fma.f32`
8 806×	`lower-fma.f64`
8 806×	`lower-fma.f32`
7 806×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	1226
1	660	1174
2	2069	1116
3	7705	1116
0	8285	1075
0	8	22
0	13	22
1	44	22
2	234	22
3	1985	22
0	10212	22
0	520	6717
1	1627	6416
2	5608	6285
0	8829	6061

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

Compiler

Compiled 509 to 234 computations (54% saved)

preprocess101.0ms (0.8%)

Memory: -3.0MiB live, 241.0MiB allocated
Remove: (negabs r)
Compiler: Compiled 662 to 262 computations (60.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze269.0ms (2.2%)

sample1.6s (13.5%)

explain399.0ms (3.3%)

preprocess99.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize52.0ms (0.4%)

series19.0ms (0.2%)

simplify372.0ms (3%)

rewrite309.0ms (2.5%)

eval34.0ms (0.3%)

prune50.0ms (0.4%)

simplify421.0ms (3.4%)

localize246.0ms (2%)

series121.0ms (1%)

simplify401.0ms (3.3%)

rewrite473.0ms (3.9%)

eval274.0ms (2.2%)

prune317.0ms (2.6%)

simplify324.0ms (2.6%)

localize253.0ms (2.1%)

series108.0ms (0.9%)

simplify404.0ms (3.3%)

rewrite407.0ms (3.3%)

eval300.0ms (2.4%)

prune338.0ms (2.8%)

simplify345.0ms (2.8%)

localize351.0ms (2.9%)

series101.0ms (0.8%)

simplify569.0ms (4.6%)

rewrite348.0ms (2.8%)

eval250.0ms (2%)

prune302.0ms (2.5%)

regimes398.0ms (3.2%)

regimes392.0ms (3.2%)

regimes198.0ms (1.6%)

regimes69.0ms (0.6%)

regimes14.0ms (0.1%)

regimes38.0ms (0.3%)

regimes83.0ms (0.7%)

regimes11.0ms (0.1%)

regimes80.0ms (0.6%)

regimes29.0ms (0.2%)

regimes24.0ms (0.2%)

bsearch46.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch24.0ms (0.2%)

bsearch16.0ms (0.1%)

simplify11.0ms (0.1%)

soundness817.0ms (6.7%)

preprocess101.0ms (0.8%)

end0.0ms (0%)

Profiling