Metrics for rsin B (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze299.0ms (3.4%)

Memory

5.2MiB live, 334.8MiB 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)

sample1.9s (21.1%)

Memory

53.3MiB live, 1 684.1MiB allocated

Samples

1.3s	6 023×	1	valid
235.0ms	2 233×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-cos: 311.0ms (28.7% of total)

ival-sin: 305.0ms (28.1% of total)

adjust: 176.0ms (16.2% of total)

ival-add: 111.0ms (10.2% of total)

ival-mult: 98.0ms (9% of total)

ival-div: 74.0ms (6.8% of total)

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

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

Bogosity

explain145.0ms (1.6%)

Memory

-6.3MiB live, 195.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
66	127	(-1.1373791347748714e-250 1.2247459733207371e+141 4.61991807217366e-232)	-	`(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	193	0

Confusion

	Predicted +	Predicted -
+	66	0
-	127	63

Precision

0.34196891191709844

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	127	0	63

Precision?

0.34196891191709844

Recall?

1.0

Freqs

test

number	freq
0	63
1	193

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

82.0ms	376×	1	valid
9.0ms	136×	0	valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-add: 18.0ms (26.4% of total)

ival-cos: 18.0ms (26.4% of total)

ival-sin: 12.0ms (17.6% of total)

adjust: 10.0ms (14.7% of total)

ival-mult: 6.0ms (8.8% of total)

ival-div: 4.0ms (5.9% of total)

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

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

preprocess127.0ms (1.4%)

Memory

4.0MiB live, 137.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	90
1	101	88
2	204	88
3	425	88
4	760	88
5	1600	88
6	3320	88
7	6245	88
0	8	9
0	13	9
1	24	9
2	41	9
3	64	9
4	77	9
5	79	9
6	93	9
7	126	9
8	231	9
9	571	9
10	1520	9
11	3317	9
12	6749	9
0	8021	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify127.0ms (1.4%)

Memory

11.0MiB live, 154.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	24	28
2	41	28
3	64	28
4	77	28
5	79	28
6	93	28
7	126	28
8	231	28
9	571	28
10	1520	28
11	3317	28
12	6749	28
0	8021	28

Stop Event

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

Calls

Call 1

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

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

localize50.0ms (0.6%)

Memory

-11.5MiB live, 80.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 b)
accuracy	0.17578125	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy	0.265625	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	13.369911065030417	(cos.f64 (+.f64 a b))

Samples

37.0ms	188×	1	valid
5.0ms	68×	0	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-cos: 8.0ms (26.2% of total)

ival-mult: 6.0ms (19.6% of total)

ival-sin: 6.0ms (19.6% of total)

adjust: 5.0ms (16.3% of total)

ival-add: 3.0ms (9.8% of total)

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

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

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

series30.0ms (0.3%)

Memory

-12.2MiB live, 38.2MiB allocated

Counts

4 → 38

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	b	@	0	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
7.0ms	b	@	inf	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
3.0ms	b	@	-inf	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms	a	@	inf	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms	r	@	0	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))

simplify245.0ms (2.8%)

Memory

27.7MiB live, 216.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	832
1	696	794
2	2437	727
0	8298	692

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

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

Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(/.f64 (fma.f64 (sin.f64 b) r (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (cos.f64 b))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (neg.f64 a) (.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 #s(literal 1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b))))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) a (neg.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 (sin.f64 b) (cos.f64 b)))))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (+.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 b)) (cos.f64 b)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a)) r) (cos.f64 a)) b)
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b)
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (.f64 b b) (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (/.f64 (.f64 #s(literal -1/3 binary64) (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a)))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 b b)) #s(literal 1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 b b)) #s(literal 1/6 binary64))) b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b) (sin.f64 a)) b (cos.f64 a))
(sin b)
(sin.f64 b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))

rewrite187.0ms (2.1%)

Memory

6.0MiB live, 195.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	13	22
1	46	22
2	268	22
3	2877	22
0	8306	22

Stop Event

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

Counts

4 → 185

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

eval33.0ms (0.4%)

Memory: -16.1MiB live, 76.0MiB allocated
Compiler: Compiled 5 380 to 1 052 computations (80.4% saved)

prune26.0ms (0.3%)

Memory

24.2MiB live, 71.1MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	187	29	216
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	188	29	217

Accuracy

99.8%

Counts

217 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.9%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	78.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	78.9%	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
	31.3%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
	6.7%	(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
▶	6.7%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
▶	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))))
	99.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
▶	42.3%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
	42.3%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
	42.3%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))))))
	78.4%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
▶	54.1%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
	60.9%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
	61.5%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))))
	54.3%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
	63.0%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
	56.8%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	9.1%	(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
	52.9%	(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
	80.1%	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
	78.8%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
	53.1%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	53.1%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
	59.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (neg.f64 a) (.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)))
▶	53.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	63.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))

Compiler

Compiled 1 080 to 772 computations (28.5% saved)

simplify83.0ms (0.9%)

Memory

-34.2MiB live, 109.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
cost-diff	0	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
cost-diff	4	(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
cost-diff	0	(neg.f64 (+.f64 (PI.f64) b))
cost-diff	0	(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
cost-diff	3	(sin.f64 (neg.f64 (+.f64 (PI.f64) b)))
cost-diff	0	(cos.f64 a)
cost-diff	0	(/.f64 r (cos.f64 a))
cost-diff	0	(*.f64 (/.f64 r (cos.f64 a)) b)
cost-diff	0	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
cost-diff	0	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	301
0	79	298
1	134	296
2	221	292
3	401	280
4	834	280
5	2044	280
6	4503	280
0	8376	280

Stop Event

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

Calls

Call 1

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

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

localize346.0ms (3.9%)

Memory

4.4MiB live, 334.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
accuracy	0.17578125	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
accuracy	0.265625	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
accuracy	29.763770618575194	#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
accuracy	0.00390625	(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.17578125	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
accuracy	0.265625	(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
accuracy	42.8033314704646	(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
accuracy	0.17578125	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
accuracy	0.265625	(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))
accuracy	13.369911065030417	(cos.f64 (+.f64 a b))
accuracy	60.91212114914693	(sin.f64 (neg.f64 (+.f64 (PI.f64) b)))
accuracy	0.0	(cos.f64 a)
accuracy	0.08984375	(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy	0.1171875	(/.f64 r (cos.f64 a))
accuracy	29.960399005571507	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy	0.08431625976844201	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.08431625976844202	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.17578125	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
accuracy	0.265625	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))

Samples

195.0ms	194×	1	valid
103.0ms	62×	2	valid

Compiler

Compiled 258 to 41 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-sin: 85.0ms (33.9% of total)

ival-mult: 44.0ms (17.5% of total)

adjust: 42.0ms (16.7% of total)

ival-cos: 31.0ms (12.3% of total)

ival-div: 20.0ms (8% of total)

ival-add: 13.0ms (5.2% of total)

ival-neg: 6.0ms (2.4% of total)

ival-sub: 5.0ms (2% of total)

ival-pi: 5.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series86.0ms (1%)

Memory

25.9MiB live, 113.1MiB allocated

Counts

22 → 140

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	b	@	0	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b))
15.0ms	r	@	-inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b))
7.0ms	a	@	inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b))
7.0ms	a	@	-inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b))
7.0ms	r	@	0	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b))

simplify166.0ms (1.9%)

Memory

2.3MiB live, 186.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	715	3812
1	2398	3436
0	8770	3265

Stop Event

1×	iter limit
1×	node limit

Counts

140 → 138

Calls

Call 1

Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ r (cos a))
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b)))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(/ (* r (sin (neg (+ b (PI))))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (PI))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(/ (sin (neg (+ b (PI)))) (cos b))
(+ (/ (sin (neg (+ b (PI)))) (cos b)) (/ (* a (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b)))
(sin (- (* 1/2 (PI)) b))
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))
(+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(/ (sin b) (sin (- (* 1/2 (PI)) b)))
(+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos a)
(/ (sin (neg (+ b (PI)))) (cos (+ a b)))
(sin (- (* 1/2 (PI)) (+ a b)))
(/ (sin b) (sin (- (* 1/2 (PI)) (+ a b))))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(* (cos a) (cos b))
(* -1/2 (* b (cos a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin (neg (+ b (PI))))) (cos (- b (* -1 a))))
(/ (sin (neg (+ b (PI)))) (cos (- b (* -1 a))))
(sin (- (+ (* -1 a) (* 1/2 (PI))) b))
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))
(/ (sin b) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(+ (cos a) (* -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))))))))
(sin (neg (PI)))
(+ (sin (neg (PI))) (* -1 (* b (cos (neg (PI))))))
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* -1/2 (* b (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* b (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* b (cos (neg (PI))))))))))
(/ (* r (sin (neg (PI)))) (cos a))
(+ (* b (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (neg (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(/ (sin (neg (PI))) (cos a))
(+ (* b (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (neg (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(* -1 (PI))
(- (* -1 b) (PI))
(sin (- (* 1/2 (PI)) a))
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))
(/ (* b r) (sin (- (* 1/2 (PI)) a)))
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))
(/ b (sin (- (* 1/2 (PI)) a)))
(* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) 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) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* 1/2 (PI))
(+ (* -1 b) (* 1/2 (PI)))
(sin b)
(sin (neg (+ b (PI))))
(* -1 b)
(* b (- (* -1 (/ (PI) b)) 1))
(* b (- (* 1/2 (/ (PI) b)) 1))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(sin (- (* -1 b) (PI)))
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b))))
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b))))
(* -1 (* b (+ 1 (/ (PI) b))))
(sin (- (+ (* -1 b) (* 1/2 (PI))) a))
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(/ (sin b) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b)))))

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

rewrite536.0ms (6.1%)

Memory

-45.7MiB live, 183.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	220
0	79	241
1	258	177
2	1849	177
0	8388	177

Stop Event

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

Counts

22 → 444

Calls

Call 1

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

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

eval87.0ms (1%)

Memory: 29.8MiB live, 127.2MiB allocated
Compiler: Compiled 12 504 to 2 244 computations (82.1% saved)

prune83.0ms (0.9%)

Memory

-51.9MiB live, 101.9MiB allocated

Pruning

56 alts after pruning (53 fresh and 3 done)

	Pruned	Kept	Total
New	394	40	434
Fresh	11	13	24
Picked	2	3	5
Done	0	0	0
Total	407	56	463

Accuracy

99.9%

Counts

463 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.9%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	78.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	78.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
	78.9%	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
	10.9%	(.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b))))
	31.3%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
	6.7%	(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
✓	6.7%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
	19.5%	(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
	65.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (cos.f64 b) (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (sin.f64 b))))))
	32.6%	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (neg.f64 a)))) #s(literal 2 binary64)))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	61.2%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))))))
	61.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
▶	61.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
	64.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
	54.1%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (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)))))
	56.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))))
	99.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
▶	42.3%	(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
	41.9%	(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
	42.3%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
	42.3%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))))))
	78.4%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
	60.9%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
	54.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
	61.5%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	63.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
	41.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
	54.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
	56.8%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	9.1%	(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
	52.9%	(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
	53.2%	(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
▶	38.6%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
	53.1%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
	80.1%	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
	78.8%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
	19.1%	(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
	53.1%	(.f64 r #s(approx (/ (sin b) (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
	38.9%	(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
▶	99.5%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
	63.0%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
	53.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
	38.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
✓	53.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	37.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	36.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	37.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	63.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	26.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
	30.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))))
▶	38.3%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 492 to 1 799 computations (27.8% saved)

simplify111.0ms (1.3%)

Memory

62.0MiB live, 144.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
cost-diff	0	(sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
cost-diff	0	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
cost-diff	1	(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	2	(.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
cost-diff	3	(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
cost-diff	0	(*.f64 b r)
cost-diff	0	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
cost-diff	0	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (sin.f64 b) r)
cost-diff	0	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a))))
cost-diff	0	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	426
0	107	425
1	182	425
2	327	425
3	669	408
4	1359	402
5	2713	402
6	5161	402
0	8026	398

Stop Event

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

Calls

Call 1

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

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

localize353.0ms (4%)

Memory

-17.6MiB live, 360.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08431625976844202	(.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	0.17578125	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
accuracy	0.265625	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
accuracy	31.532543212659082	#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.00390625	(-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)
accuracy	0.17578125	(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
accuracy	0.265625	(/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))
accuracy	42.8033314704646	(sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))
accuracy	0.17578125	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
accuracy	0.265625	(/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
accuracy	29.826051367793372	#s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
accuracy	42.8033314704646	(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
accuracy	0.0	(*.f64 b r)
accuracy	21.768381666927098	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy	29.960399005571507	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy	0.08431625976844201	(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.08431625976844202	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.09375	(*.f64 (sin.f64 b) r)
accuracy	0.25619125976844204	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

277.0ms	192×	1	valid
23.0ms	64×	0	valid

Compiler

Compiled 312 to 48 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-sin: 86.0ms (32.7% of total)

ival-mult: 45.0ms (17.1% of total)

ival-neg: 33.0ms (12.5% of total)

ival-cos: 25.0ms (9.5% of total)

adjust: 24.0ms (9.1% of total)

ival-add: 23.0ms (8.7% of total)

ival-div: 14.0ms (5.3% of total)

const: 6.0ms (2.3% of total)

ival-sub: 4.0ms (1.5% of total)

ival-pi: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series41.0ms (0.5%)

Memory

21.7MiB live, 67.7MiB allocated

Counts

24 → 104

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	r	@	-inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* b r) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* (+ (* (* b b) -1/6) 1) b) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (sin b) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (- (+ (neg b) (/ (PI) 2)) a) (cos a) (* (cos b) (cos a)))
4.0ms	r	@	inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* b r) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* (+ (* (* b b) -1/6) 1) b) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (sin b) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (- (+ (neg b) (/ (PI) 2)) a) (cos a) (* (cos b) (cos a)))
4.0ms	b	@	-inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* b r) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* (+ (* (* b b) -1/6) 1) b) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (sin b) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (- (+ (neg b) (/ (PI) 2)) a) (cos a) (* (cos b) (cos a)))
4.0ms	b	@	inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* b r) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* (+ (* (* b b) -1/6) 1) b) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (sin b) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (- (+ (neg b) (/ (PI) 2)) a) (cos a) (* (cos b) (cos a)))
4.0ms	r	@	0	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* b r) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* (+ (* (* b b) -1/6) 1) b) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (sin b) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (- (+ (neg b) (/ (PI) 2)) a) (cos a) (* (cos b) (cos a)))

simplify222.0ms (2.5%)

Memory

-37.8MiB live, 219.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	534	2650
1	1843	2511
2	7172	2495
0	8965	2382

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 103

Calls

Call 1

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

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

rewrite146.0ms (1.7%)

Memory

21.1MiB live, 155.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	333
0	107	332
1	349	304
2	2239	304
0	8161	304

Stop Event

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

Counts

24 → 241

Calls

Call 1

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

Outputs
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 (neg.f64 b) a)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
(*.f64 r b)
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a))))))
(fma.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (cos.f64 b) (*.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (sin.f64 b))))
(fma.f64 (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (*.f64 (cos.f64 b) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 (neg.f64 b) a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (sin.f64 a)))
(sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))
(-.f64 (.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)))) (cos.f64 (/.f64 (.f64 a a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a))))) (.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)))) (sin.f64 (/.f64 (.f64 a a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a))))))
(-.f64 (.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 3 binary64)) (fma.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 2 binary64)))))) (.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 3 binary64)) (fma.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) #s(literal 2 binary64)))))))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(+.f64 (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (cos.f64 b)) (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (sin.f64 b))))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 #s(literal 0 binary64) (sin.f64 (-.f64 (neg.f64 b) a))))
(+.f64 (.f64 (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (.f64 (cos.f64 b) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (sin.f64 a)))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) b)
(.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) b) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 b b)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64)) b) (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 b b)))))
(/.f64 (.f64 b (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 b b)) #s(literal 1 binary64)))
(/.f64 (.f64 b (fma.f64 #s(literal -1/216 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 b b)))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 b b)) b (*.f64 #s(literal 1 binary64) b))
(fma.f64 #s(literal 1 binary64) b (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))
(fma.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b)) (*.f64 b #s(literal 1 binary64)))
(fma.f64 b #s(literal 1 binary64) (.f64 b (.f64 #s(literal -1/6 binary64) (*.f64 b b))))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 b b)) b) (.f64 #s(literal 1 binary64) b))
(+.f64 (.f64 #s(literal 1 binary64) b) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 b b)) b))
(+.f64 (.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b))) (.f64 b #s(literal 1 binary64)))
(+.f64 (.f64 b #s(literal 1 binary64)) (.f64 b (.f64 #s(literal -1/6 binary64) (.f64 b b))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 b b) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b)))
(fma.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 b))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fabs.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 b))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (.f64 b b))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (.f64 b b))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(.f64 (/.f64 #s(approx (sin b) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))) r)
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))))
(/.f64 (.f64 (neg.f64 #s(approx (sin b) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) r) (neg.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))))
(/.f64 (.f64 r (neg.f64 #s(approx (sin b) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)))) (neg.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))))
(/.f64 (neg.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)) r)) (neg.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))))
(/.f64 (.f64 #s(approx (sin b) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b)) r) (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))))
(.f64 (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))) r)
(.f64 (sin.f64 b) (/.f64 r (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(/.f64 (.f64 (sin.f64 b) r) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))
(/.f64 (.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))))
(/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sin.f64 a)) #s(literal 2 binary64))) (sin.f64 (+.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sin.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (cos.f64 a)) (.f64 (cos.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sin.f64 a))))))
(fma.f64 (sin.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (cos.f64 a) (.f64 (neg.f64 (cos.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) (sin.f64 a)))
(fma.f64 (cos.f64 a) (sin.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (.f64 (neg.f64 (cos.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) (sin.f64 a)))
(sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))
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(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))) (cos.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 b)) a)) (cos.f64 (-.f64 (neg.f64 (neg.f64 b)) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 (neg.f64 a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 b (neg.f64 (neg.f64 a)))) (cos.f64 (-.f64 b (neg.f64 (neg.f64 a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 a)) b)) (cos.f64 (-.f64 (neg.f64 (neg.f64 a)) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 (neg.f64 b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 (neg.f64 b)))) (cos.f64 (-.f64 a (neg.f64 (neg.f64 b))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (+.f64 (neg.f64 b) a)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (neg.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 (neg.f64 b) a)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 b)) (cos.f64 a)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 (neg.f64 b) a)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (/.f64 (.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (.f64 b b) (-.f64 a b))) (.f64 (sin.f64 (/.f64 (.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 b (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (neg.f64 a) b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))
(sin.f64 (+.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))
(-.f64 (.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (.f64 b (-.f64 b a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (.f64 b (-.f64 b a)))))) (.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (.f64 b (-.f64 b a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (.f64 b (-.f64 b a)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (/.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))
(-.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b)))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a))))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 a b)))))
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a))))
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b)))
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a)))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (.f64 b b) (-.f64 a b)))) (.f64 (sin.f64 (/.f64 (.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (.f64 b b) (-.f64 a b)))))
(+.f64 (.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(+.f64 (/.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 (neg.f64 b) a)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (+.f64 (neg.f64 b) a)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))
(+.f64 (.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(+.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (sin b) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) b))
(/.f64 (neg.f64 (neg.f64 #s(approx (sin b) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) b)))) (neg.f64 (neg.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))))))
(/.f64 (neg.f64 #s(approx (sin b) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) b))) (neg.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))))
(/.f64 #s(approx (sin b) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))))
(neg.f64 (/.f64 (neg.f64 #s(approx (sin b) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))))
(neg.f64 (/.f64 #s(approx (sin b) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (.f64 a a))) (neg.f64 (+.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a (+.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a) (pow.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (.f64 a a)) (+.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a (+.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a) (pow.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (+.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)) (/.f64 (.f64 a a) (+.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)) (fma.f64 a (+.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a) (pow.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a) (pow.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))))
(-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))
(.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))) (cos.f64 b))
(.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))

eval75.0ms (0.8%)

Memory: 1.3MiB live, 104.0MiB allocated
Compiler: Compiled 14 105 to 1 832 computations (87% saved)

prune90.0ms (1%)

Memory

-1.8MiB live, 87.6MiB allocated

Pruning

61 alts after pruning (55 fresh and 6 done)

	Pruned	Kept	Total
New	341	14	355
Fresh	7	41	48
Picked	2	3	5
Done	0	3	3
Total	350	61	411

Accuracy

99.9%

Counts

411 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.9%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	78.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	78.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
	61.1%	(.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
▶	42.3%	(.f64 (sin.f64 b) (/.f64 r (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
	78.9%	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
	10.9%	(.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b))))
	31.3%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
	6.7%	(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
✓	6.7%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
	19.5%	(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
	65.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (cos.f64 b) (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (sin.f64 b))))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	61.2%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))))))
	61.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
✓	61.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
	64.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
▶	54.1%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (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)))))
	56.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))))
	42.3%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
	42.3%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))))))
	41.4%	(.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
	19.3%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
	78.4%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
	60.9%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
	54.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
	61.5%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	63.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
	54.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
	56.8%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	9.1%	(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
	52.9%	(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
	53.2%	(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
▶	38.6%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
	17.3%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
	39.0%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))))
	53.1%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
	80.1%	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
	78.8%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
	19.1%	(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
	53.1%	(.f64 r #s(approx (/ (sin b) (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
	38.9%	(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
	41.4%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)))) #s(literal 2 binary64)))))
✓	99.5%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
	99.5%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
	99.3%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))))))
	99.5%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	42.3%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
	63.0%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
	63.1%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	53.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
	38.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
✓	53.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	37.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	36.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	37.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	26.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
▶	30.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
✓	38.3%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 885 to 2 059 computations (28.6% saved)

simplify195.0ms (2.2%)

Memory

-2.3MiB live, 96.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	468
0	100	468
1	174	468
2	342	468
3	842	464
4	2280	454
5	4654	454
6	7549	454
0	8350	450

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

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

localize385.0ms (4.4%)

Memory

-30.4MiB live, 320.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08431625976844201	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))
accuracy	0.17578125	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
accuracy	0.265625	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))
accuracy	29.776763662259558	#s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))
accuracy	0.00390625	(-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)
accuracy	0.18359375	(.f64 (sin.f64 b) (/.f64 r (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
accuracy	0.2109375	(/.f64 r (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)))
accuracy	42.8033314704646	(sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))
accuracy	0.265625	(/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a)))
accuracy	29.826051367793372	#s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
accuracy	29.98908799233993	#s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy	42.8033314704646	(sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))
accuracy	0.0	(*.f64 a a)
accuracy	8.178127160058574	(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
accuracy	28.768884570230156	#s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))
accuracy	29.960399005571507	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
accuracy	0.09994125976844201	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
accuracy	0.17578125	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
accuracy	0.19140625	(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
accuracy	0.265625	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))

Samples

283.0ms	192×	1	valid
46.0ms	64×	0	valid

Compiler

Compiled 336 to 55 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 287.0ms

ival-mult: 126.0ms (43.9% of total)

ival-div: 38.0ms (13.2% of total)

ival-sin: 35.0ms (12.2% of total)

adjust: 30.0ms (10.5% of total)

ival-cos: 26.0ms (9.1% of total)

ival-add: 13.0ms (4.5% of total)

const: 11.0ms (3.8% of total)

ival-sub: 4.0ms (1.4% of total)

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

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

exact: 1.0ms (0.3% of total)

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

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

series69.0ms (0.8%)

Memory

-4.9MiB live, 133.1MiB allocated

Counts

24 → 124

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	b	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* (+ (* (* a a) 1/2) 1) (* b r)) (+ (* (* a a) 1/2) 1) (* (+ (* (* b b) -1/6) 1) b) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin b) (* (sin b) (/ r (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ r (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (* a a) (sin (- (+ (neg b) (/ (PI) 2)) a)) (+ (neg b) (/ (PI) 2)) (- (+ (neg b) (/ (PI) 2)) a) (* (cos b) (cos a)))
10.0ms	r	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* (+ (* (* a a) 1/2) 1) (* b r)) (+ (* (* a a) 1/2) 1) (* (+ (* (* b b) -1/6) 1) b) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin b) (* (sin b) (/ r (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ r (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (* a a) (sin (- (+ (neg b) (/ (PI) 2)) a)) (+ (neg b) (/ (PI) 2)) (- (+ (neg b) (/ (PI) 2)) a) (* (cos b) (cos a)))
5.0ms	a	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* (+ (* (* a a) 1/2) 1) (* b r)) (+ (* (* a a) 1/2) 1) (* (+ (* (* b b) -1/6) 1) b) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin b) (* (sin b) (/ r (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ r (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (* a a) (sin (- (+ (neg b) (/ (PI) 2)) a)) (+ (neg b) (/ (PI) 2)) (- (+ (neg b) (/ (PI) 2)) a) (* (cos b) (cos a)))
5.0ms	r	@	0	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* (+ (* (* a a) 1/2) 1) (* b r)) (+ (* (* a a) 1/2) 1) (* (+ (* (* b b) -1/6) 1) b) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin b) (* (sin b) (/ r (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ r (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (* a a) (sin (- (+ (neg b) (/ (PI) 2)) a)) (+ (neg b) (/ (PI) 2)) (- (+ (neg b) (/ (PI) 2)) a) (* (cos b) (cos a)))
5.0ms	r	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (* (+ (* (* a a) 1/2) 1) (* b r)) (+ (* (* a a) 1/2) 1) (* (+ (* (* b b) -1/6) 1) b) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin b) (* (sin b) (/ r (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ r (sin (- (+ (neg b) (/ (PI) 2)) a))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (* a a) (sin (- (+ (neg b) (/ (PI) 2)) a)) (+ (neg b) (/ (PI) 2)) (- (+ (neg b) (/ (PI) 2)) a) (* (cos b) (cos a)))

simplify170.0ms (1.9%)

Memory

43.1MiB live, 179.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	602	3275
1	2095	3102
0	8151	2959

Stop Event

1×	iter limit
1×	node limit

Counts

124 → 123

Calls

Call 1

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

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

rewrite218.0ms (2.5%)

Memory

-29.6MiB live, 207.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	358
0	100	337
1	339	337
2	2276	337
0	8226	337

Stop Event

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

Counts

24 → 285

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

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

eval107.0ms (1.2%)

Memory: 31.7MiB live, 133.9MiB allocated
Compiler: Compiled 14 254 to 2 124 computations (85.1% saved)

prune109.0ms (1.2%)

Memory

-39.1MiB live, 113.1MiB allocated

Pruning

68 alts after pruning (57 fresh and 11 done)

	Pruned	Kept	Total
New	404	11	415
Fresh	4	46	50
Picked	0	5	5
Done	0	6	6
Total	408	68	476

Accuracy

99.9%

Counts

476 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.9%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	78.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	78.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
	61.1%	(.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
✓	42.3%	(.f64 (sin.f64 b) (/.f64 r (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
	41.4%	(.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
	19.3%	(*.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
	78.9%	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
	10.9%	(.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b))))
	31.3%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
	6.7%	(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
✓	6.7%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
	19.5%	(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
	65.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (cos.f64 b) (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (sin.f64 b))))))
✓	99.6%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	61.2%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))))))
	61.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
✓	61.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
	64.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
✓	54.1%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (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)))))
	62.9%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
	56.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
	62.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))))
	67.2%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
	56.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))))
	42.3%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
	42.3%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))))))
	19.3%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
	78.4%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
	54.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
	61.5%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	63.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
	56.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 a))))
	54.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
	9.1%	(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
	52.9%	(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
	53.2%	(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
✓	38.6%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
	17.3%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
	39.0%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))))
	53.1%	(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
	80.1%	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
	78.8%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
	19.1%	(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
	53.1%	(.f64 r #s(approx (/ (sin b) (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
	38.9%	(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
	41.4%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)))) #s(literal 2 binary64)))))
✓	99.5%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
	99.5%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
	99.3%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))))))
	99.5%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	42.3%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
	63.0%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
	63.1%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	53.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
	38.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
✓	53.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	37.1%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	36.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	37.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	26.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
✓	30.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
	12.7%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.f64 #s(approx (+ ( (* a a) 1/2) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
✓	38.3%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
	18.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) r) b (.f64 (/.f64 r a) (/.f64 b a))) (.f64 a a)))))
	10.3%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) b) r))))

Compiler

Compiled 4 059 to 1 758 computations (56.7% saved)

regimes147.0ms (1.7%)

Memory

-9.4MiB live, 180.5MiB allocated

Counts

95 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.f64 #s(approx (+ ( (* a a) 1/2) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.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 (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) r) b (.f64 (/.f64 r a) (/.f64 b a))) (.f64 a a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.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 b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(.f64 (sin.f64 b) (/.f64 r (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (cos.f64 b) (.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (sin.f64 b))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (/.f64 (+.f64 (sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 b) a)))) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (neg.f64 a)))) #s(literal 2 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (neg.f64 a) (.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)))
(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))))))
(.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 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))))
(.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))))
(.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))))
(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))))))))

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

Calls

5 calls:

35.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
27.0ms	b
24.0ms	r
23.0ms	a
23.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes137.0ms (1.6%)

Memory

57.6MiB live, 188.0MiB allocated

Counts

84 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.f64 #s(approx (+ ( (* a a) 1/2) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.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 (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) r) b (.f64 (/.f64 r a) (/.f64 b a))) (.f64 a a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.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 b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(.f64 (sin.f64 b) (/.f64 r (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))

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

Calls

5 calls:

45.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
24.0ms	a
23.0ms	r
20.0ms	b
20.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes157.0ms (1.8%)

Memory

-27.4MiB live, 219.9MiB allocated

Counts

81 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.f64 #s(approx (+ ( (* a a) 1/2) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.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 (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) r) b (.f64 (/.f64 r a) (/.f64 b a))) (.f64 a a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.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 b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(.f64 (sin.f64 b) (/.f64 r (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))

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

Calls

5 calls:

49.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
23.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
22.0ms	a
22.0ms	b
19.0ms	r

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes112.0ms (1.3%)

Memory

-16.9MiB live, 179.0MiB allocated

Counts

80 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.f64 #s(approx (+ ( (* a a) 1/2) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.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 (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) r) b (.f64 (/.f64 r a) (/.f64 b a))) (.f64 a a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.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 b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(.f64 (sin.f64 b) (/.f64 r (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))

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

Calls

5 calls:

26.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
22.0ms	a
22.0ms	b
21.0ms	r
19.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes114.0ms (1.3%)

Memory

38.5MiB live, 172.5MiB allocated

Counts

79 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.f64 #s(approx (+ ( (* a a) 1/2) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.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 (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) r) b (.f64 (/.f64 r a) (/.f64 b a))) (.f64 a a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.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 b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
(*.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (- (+ (neg b) (/ (PI) 2)) a) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(.f64 (sin.f64 b) (/.f64 r (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))))))
(.f64 r (/.f64 #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))))

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

Calls

5 calls:

28.0ms	a
23.0ms	r
21.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
19.0ms	b
19.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Accuracy	Segments	Branch
78.9%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
78.9%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
78.9%	1	`r`
78.9%	1	`a`
78.9%	1	`b`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes61.0ms (0.7%)

Memory

-21.2MiB live, 36.2MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
9.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
8.0ms	r
8.0ms	b
8.0ms	a

Results

Accuracy	Segments	Branch
78.9%	1	`r`
78.9%	1	`a`
78.9%	1	`b`
78.9%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
78.9%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes45.0ms (0.5%)

Memory

10.3MiB live, 55.9MiB allocated

Counts

31 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
63.1%	1	`r`
77.9%	3	`b`
77.9%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
78.5%	3	`a`
66.3%	3	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes26.0ms (0.3%)

Memory

-20.3MiB live, 24.0MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))

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

Calls

2 calls:

18.0ms	a
7.0ms	b

Results

Accuracy	Segments	Branch
77.9%	3	`b`
76.5%	3	`a`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes35.0ms (0.4%)

Memory

18.9MiB live, 61.2MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))

Calls

5 calls:

9.0ms	a
6.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
6.0ms	b
6.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
6.0ms	r

Results

Accuracy	Segments	Branch
53.2%	1	`r`
53.2%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
53.2%	1	`a`
53.2%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
53.2%	1	`b`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes27.0ms (0.3%)

Memory

-21.0MiB live, 35.1MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) b) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.f64 #s(approx (+ ( (* a a) 1/2) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (.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 (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) r) b (.f64 (/.f64 r a) (/.f64 b a))) (.f64 a a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.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 b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))

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

Calls

5 calls:

8.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms	b
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	r
4.0ms	a

Results

Accuracy	Segments	Branch
53.1%	1	`r`
53.1%	1	`b`
53.1%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
53.1%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
53.1%	1	`a`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes23.0ms (0.3%)

Memory

-10.1MiB live, 36.7MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	r
4.0ms	b
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	a
4.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Accuracy	Segments	Branch
53.1%	1	`r`
53.1%	1	`a`
53.1%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
53.1%	1	`b`
53.1%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes17.0ms (0.2%)

Memory

37.4MiB live, 37.4MiB allocated

Accuracy

Total -19.5b remaining (-49.3%)

Threshold costs -19.5b (-49.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
38.3%	1	`r`
38.3%	1	`a`
38.3%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
38.3%	1	`b`
38.3%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch40.0ms (0.5%)

Memory

-17.2MiB live, 71.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0018428862644532386	0.005263074837840561
21.0ms	-0.7784550040368451	-0.005386838068751228

Samples

20.0ms	101×	1	valid
6.0ms	91×	0	valid

Compiler

Compiled 360 to 314 computations (12.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 5.0ms (28.6% of total)

ival-cos: 5.0ms (28.6% of total)

adjust: 3.0ms (17.2% of total)

ival-add: 2.0ms (11.4% of total)

ival-mult: 2.0ms (11.4% of total)

ival-div: 1.0ms (5.7% of total)

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

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

bsearch87.0ms (1%)

Memory

12.7MiB live, 110.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
52.0ms	9.424632590999448e-6	7.623319343755572e+20
31.0ms	-222251434.7054048	-885.4514038972192

Samples

55.0ms	161×	1	valid
14.0ms	159×	0	valid

Compiler

Compiled 812 to 674 computations (17% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-cos: 9.0ms (26.5% of total)

adjust: 8.0ms (23.5% of total)

ival-sin: 8.0ms (23.5% of total)

ival-add: 3.0ms (8.8% of total)

ival-mult: 3.0ms (8.8% of total)

ival-div: 2.0ms (5.9% of total)

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

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

simplify73.0ms (0.8%)

Memory

13.6MiB live, 101.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	287
1	145	282
2	215	278
3	370	278
4	738	278
5	1800	278
6	4406	278

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -3170534137668829/576460752303423488 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 b #s(literal -900 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 3804640965202595/1152921504606846976 binary64)) (.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Outputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -3170534137668829/576460752303423488 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (or (<=.f64 a #s(literal -3170534137668829/576460752303423488 binary64)) (not (<=.f64 a #s(literal 1152921504606847/288230376151711744 binary64)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) #s(approx ( r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(if (<=.f64 b #s(literal -900 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 3804640965202595/1152921504606846976 binary64)) (.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (or (<=.f64 b #s(literal -900 binary64)) (not (<=.f64 b #s(literal 3804640965202595/1152921504606846976 binary64)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) b) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

derivations774.0ms (8.8%)

Memory

-19.0MiB live, 750.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	13	22
1	46	22
2	268	22
3	2877	22
0	8306	22
0	715	3812
1	2398	3436
0	8770	3265
0	67	333
0	107	332
1	349	304
2	2239	304
0	8161	304
0	215	832
1	696	794
2	2437	727
0	8298	692

Stop Event

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

Compiler

Compiled 287 to 91 computations (68.3% saved)

preprocess146.0ms (1.7%)

Memory: 5.4MiB live, 110.0MiB allocated
Remove: (negabs r)
Compiler: Compiled 688 to 270 computations (60.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze299.0ms (3.4%)

sample1.9s (21.1%)

explain145.0ms (1.6%)

preprocess127.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify127.0ms (1.4%)

localize50.0ms (0.6%)

series30.0ms (0.3%)

simplify245.0ms (2.8%)

rewrite187.0ms (2.1%)

eval33.0ms (0.4%)

prune26.0ms (0.3%)

simplify83.0ms (0.9%)

localize346.0ms (3.9%)

series86.0ms (1%)

simplify166.0ms (1.9%)

rewrite536.0ms (6.1%)

eval87.0ms (1%)

prune83.0ms (0.9%)

simplify111.0ms (1.3%)

localize353.0ms (4%)

series41.0ms (0.5%)

simplify222.0ms (2.5%)

rewrite146.0ms (1.7%)

eval75.0ms (0.8%)

prune90.0ms (1%)

simplify195.0ms (2.2%)

localize385.0ms (4.4%)

series69.0ms (0.8%)

simplify170.0ms (1.9%)

rewrite218.0ms (2.5%)

eval107.0ms (1.2%)

prune109.0ms (1.2%)

regimes147.0ms (1.7%)

regimes137.0ms (1.6%)

regimes157.0ms (1.8%)

regimes112.0ms (1.3%)

regimes114.0ms (1.3%)

regimes61.0ms (0.7%)

regimes45.0ms (0.5%)

regimes26.0ms (0.3%)

regimes35.0ms (0.4%)

regimes27.0ms (0.3%)

regimes23.0ms (0.3%)

regimes17.0ms (0.2%)

bsearch40.0ms (0.5%)

bsearch87.0ms (1%)

simplify73.0ms (0.8%)

derivations774.0ms (8.8%)

preprocess146.0ms (1.7%)

end0.0ms (0%)

Profiling