Metrics for rsin B (should all be same)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze325.0ms (3.6%)

Memory

3.4MiB live, 277.1MiB allocated; 52ms collecting garbage

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 (20.8%)

Memory

50.3MiB live, 1 874.7MiB allocated; 425ms collecting garbage

Samples

1.3s	5 989×	1	valid
177.0ms	2 267×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-cos: 361.0ms (31.1% of total)

ival-sin: 278.0ms (23.9% of total)

adjust: 166.0ms (14.3% of total)

ival-add: 149.0ms (12.8% of total)

ival-div: 105.0ms (9% of total)

ival-mult: 94.0ms (8.1% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain138.0ms (1.5%)

Memory

7.1MiB live, 153.2MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
69	128	(-7.62354695460957e+195 -2.985649542798514e-194 -1.8641594689303438e+298)	-	`(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	197	0

Confusion

	Predicted +	Predicted -
+	69	0
-	128	59

Precision

0.350253807106599

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	0
-	128	0	59

Precision?

0.350253807106599

Recall?

1.0

Freqs

test

number	freq
0	59
1	197

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms	388×	1	valid
9.0ms	124×	0	valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-cos: 18.0ms (31.7% of total)

ival-sin: 13.0ms (22.9% of total)

adjust: 10.0ms (17.6% of total)

ival-mult: 6.0ms (10.6% of total)

ival-add: 5.0ms (8.8% of total)

ival-div: 4.0ms (7.1% of total)

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

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

preprocess124.0ms (1.4%)

Memory

-28.8MiB live, 109.5MiB allocated; 18ms collecting garbage

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify76.0ms (0.8%)

Memory

29.0MiB live, 74.4MiB allocated; 4ms collecting garbage

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

localize57.0ms (0.6%)

Memory

3.6MiB live, 49.8MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sin.f64 b)
accuracy	0.203125	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy	0.21484375	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	14.706278904583773	(cos.f64 (+.f64 a b))

Samples

43.0ms	194×	1	valid
5.0ms	62×	0	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-cos: 9.0ms (27.1% of total)

adjust: 7.0ms (21.1% of total)

ival-sin: 7.0ms (21.1% of total)

ival-add: 3.0ms (9% of total)

ival-div: 3.0ms (9% of total)

ival-mult: 3.0ms (9% of total)

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

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

series22.0ms (0.2%)

Memory

-26.1MiB live, 19.4MiB allocated; 6ms collecting garbage

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
5.0ms	a	@	0	((* 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)))
3.0ms	r	@	0	((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms	b	@	0	((* 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)))

simplify179.0ms (2%)

Memory

-0.1MiB live, 139.1MiB allocated; 33ms collecting garbage

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))

rewrite478.0ms (5.3%)

Memory

-4.5MiB live, 168.3MiB allocated; 751ms collecting garbage

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: 6.3MiB live, 51.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 380 to 1 052 computations (80.4% saved)

prune27.0ms (0.3%)

Memory

-1.1MiB live, 45.0MiB allocated; 5ms collecting garbage

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	190	26	216
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	191	26	217

Accuracy

99.8%

Counts

217 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	76.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	76.9%	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
	36.7%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
	7.8%	(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
	7.6%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
▶	99.5%	(.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)))))
	99.2%	(.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))))))))
	49.9%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (sin.f64 (.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (-.f64 (.f64 b (/.f64 b (-.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (-.f64 (*.f64 b (/.f64 b (-.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
▶	34.8%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
	35.0%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
	75.9%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	44.7%	(.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)))))
▶	59.2%	(.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)))))
	59.9%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))))
	45.6%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
	61.7%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
	48.4%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	43.6%	(.f64 r (/.f64 #s(approx (sin b) (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)) (cos.f64 (+.f64 a b))))
	43.8%	(*.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))))
	78.3%	(.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)))))
	76.8%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
	43.9%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
▶	44.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	61.7%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))

Compiler

Compiled 992 to 690 computations (30.4% saved)

simplify120.0ms (1.3%)

Memory

-22.7MiB live, 126.7MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
cost-diff	0	(.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)))))
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	(cos.f64 (+.f64 a b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (sin.f64 b) r)
cost-diff	0	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a 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	41	279
0	73	279
1	123	279
2	202	279
3	355	267
4	738	267
5	1769	267
6	3898	267
7	7829	267
0	8825	267

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

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

localize283.0ms (3.1%)

Memory

43.5MiB live, 277.4MiB allocated; 37ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.125	(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)
accuracy	0.203125	(.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)))))
accuracy	0.21484375	(/.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))))
accuracy	28.029031586982356	#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))
accuracy	0.01171875	(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	0.203125	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
accuracy	0.21484375	(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
accuracy	43.427047145875534	(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
accuracy	0.0078125	(sin.f64 b)
accuracy	0.14453125	(*.f64 (sin.f64 b) r)
accuracy	0.20703125	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
accuracy	14.706278904583773	(cos.f64 (+.f64 a b))
accuracy	0.0	(cos.f64 a)
accuracy	0.0859375	(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy	0.125	(/.f64 r (cos.f64 a))
accuracy	35.82069934430801	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy	0.0859375	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.10841752930532605	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.203125	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
accuracy	0.21484375	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))

Samples

218.0ms	196×	1	valid
33.0ms	60×	0	valid

Compiler

Compiled 236 to 38 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-mult: 73.0ms (38% of total)

ival-cos: 35.0ms (18.2% of total)

ival-sin: 33.0ms (17.2% of total)

adjust: 20.0ms (10.4% of total)

ival-div: 15.0ms (7.8% of total)

ival-add: 8.0ms (4.2% of total)

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

ival-pi: 2.0ms (1% of total)

ival-neg: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series118.0ms (1.3%)

Memory

-5.5MiB live, 139.7MiB allocated; 79ms collecting garbage

Counts

20 → 112

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

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 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)))
(+ (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 (- (* 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) (* -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 (* a (cos b)))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos a)
(cos (+ a b))
(sin (- (* 1/2 (PI)) (+ a b)))
(/ (sin b) (sin (- (* 1/2 (PI)) (+ a b))))
(/ (sin b) (cos (+ a b)))
(* (cos a) (cos b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(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))))
(* 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))))))))
(* 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)))))))
(+ (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 (- (* 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) (* -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)))
(* -1/2 a)
(+ (* -1/2 a) (* 1/4 (* a (pow b 2))))
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))
(sin b)
(* -1 b)
(* b (- (* 1/2 (/ (PI) b)) 1))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 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))))
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b)))))

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	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 b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a 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)) (+ (neg b) (/ (PI) 2)) (* (* -1/2 (cos b)) a))
21.0ms	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 b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a 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)) (+ (neg b) (/ (PI) 2)) (* (* -1/2 (cos b)) a))
18.0ms	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 b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a 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)) (+ (neg b) (/ (PI) 2)) (* (* -1/2 (cos b)) a))
12.0ms	b	@	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 b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a 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)) (+ (neg b) (/ (PI) 2)) (* (* -1/2 (cos b)) a))
6.0ms	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 b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a 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)) (+ (neg b) (/ (PI) 2)) (* (* -1/2 (cos b)) a))

simplify223.0ms (2.5%)

Memory

-25.6MiB live, 208.1MiB allocated; 71ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	564	2780
1	1944	2648
2	7407	2626
0	8126	2495

Stop Event

1×	iter limit
1×	node limit

Counts

112 → 110

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 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)))
(+ (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 (- (* 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) (* -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 (* a (cos b)))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos a)
(cos (+ a b))
(sin (- (* 1/2 (PI)) (+ a b)))
(/ (sin b) (sin (- (* 1/2 (PI)) (+ a b))))
(/ (sin b) (cos (+ a b)))
(* (cos a) (cos b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(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))))
(* 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))))))))
(* 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)))))))
(+ (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 (- (* 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) (* -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)))
(* -1/2 a)
(+ (* -1/2 a) (* 1/4 (* a (pow b 2))))
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))
(sin b)
(* -1 b)
(* b (- (* 1/2 (/ (PI) b)) 1))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 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))))
(* -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 (/.f64 r (cos.f64 a)) b)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.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 (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))
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b
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(/ b (sin (- (* 1/2 (PI)) a)))
(/.f64 b (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))
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(* 1/2 (PI))
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(sin b)
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
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rewrite203.0ms (2.2%)

Memory

11.1MiB live, 205.0MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	202
0	73	216
1	240	181
2	1691	181
0	9125	181

Stop Event

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

Counts

20 → 468

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

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

eval108.0ms (1.2%)

Memory: 19.2MiB live, 125.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 13 498 to 2 175 computations (83.9% saved)

prune46.0ms (0.5%)

Memory

-14.3MiB live, 76.0MiB allocated; 7ms collecting garbage

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	407	33	440
Fresh	12	9	21
Picked	2	3	5
Done	0	0	0
Total	421	45	466

Accuracy

99.9%

Counts

466 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
▶	44.7%	(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))))
▶	43.6%	(/.f64 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
	43.9%	(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
	76.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	76.8%	(.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))))
	59.3%	(.f64 (sin.f64 b) (/.f64 r #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)))))
▶	36.7%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
	7.8%	(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
	7.6%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
✓	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	59.7%	(.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)))))))
	59.6%	(.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)))))))
	59.3%	(.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 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
	63.1%	(.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))))))
	44.7%	(.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)))))
	78.0%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.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 (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))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (.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))) (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)))))))
	99.2%	(.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))))))))
	33.9%	(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 (PI.f64) #s(literal 1/2 binary64))) a))))
	12.4%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
	35.0%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
	75.9%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	45.6%	(.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)))))
	59.9%	(.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)))))
	61.7%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
	33.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b)))))
	48.4%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	78.3%	(.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)))))
	76.8%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
	76.8%	(.f64 r (.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)))))
	43.9%	(.f64 r #s(approx (/ (sin b) (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
	29.7%	(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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)))))
	61.7%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	34.8%	#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 a) b)))))
	33.8%	#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 (sin.f64 b) r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
	29.7%	#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 b r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
	43.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
	29.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
✓	44.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	28.2%	#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))
	28.3%	#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))
	28.2%	#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))
▶	29.3%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 127 to 1 452 computations (31.7% saved)

simplify277.0ms (3%)

Memory

-8.4MiB live, 139.2MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (sin.f64 b) r)
cost-diff	0	(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))))
cost-diff	0	(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
cost-diff	1	(+.f64 (+.f64 (PI.f64) b) (PI.f64))
cost-diff	3	(sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)))
cost-diff	0	(fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r)
cost-diff	0	#s(approx (* (sin b) r) (.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))
cost-diff	0	(/.f64 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
cost-diff	2	(.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)
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	57	357
0	93	350
1	174	348
2	367	344
3	1028	341
4	3657	341
0	8034	337

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 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
#s(approx (* (sin b) r) (.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))
(.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)
(fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r)
(.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)))
r
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 b b)
b
#s(literal -1/6 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
r
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b)))
(sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)))
(+.f64 (+.f64 (PI.f64) b) (PI.f64))
(+.f64 (PI.f64) b)
(PI.f64)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(-.f64 (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a))
(.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))
(*.f64 (cos.f64 a) b)
(cos.f64 a)
a
#s(literal -1/2 binary64)
(sin.f64 a)

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

localize528.0ms (5.8%)

Memory

-14.9MiB live, 414.0MiB allocated; 47ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(*.f64 (cos.f64 a) b)
accuracy	0.14453125	(*.f64 (sin.f64 b) r)
accuracy	0.20703125	(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))))
accuracy	35.95877298982977	#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))
accuracy	0.203125	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
accuracy	0.21484375	(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b)))
accuracy	14.706278904583773	(cos.f64 (+.f64 a b))
accuracy	26.438687438064875	(sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)))
accuracy	0.30319729678130036	(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
accuracy	6.073896604403835	(.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)))
accuracy	14.706278904583773	(cos.f64 (+.f64 a b))
accuracy	35.90555071757385	#s(approx (* (sin b) r) (.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))
accuracy	0.0	(*.f64 b r)
accuracy	23.505376902121505	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy	35.82069934430801	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy	0.0859375	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.10841752930532605	(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.14453125	(*.f64 (sin.f64 b) r)
accuracy	0.20703125	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

389.0ms	212×	1	valid
60.0ms	42×	2	valid
29.0ms	2×	0	valid

Compiler

Compiled 276 to 48 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 405.0ms

ival-sin: 165.0ms (40.7% of total)

adjust: 82.0ms (20.2% of total)

ival-mult: 79.0ms (19.5% of total)

ival-cos: 29.0ms (7.2% of total)

ival-add: 18.0ms (4.4% of total)

ival-div: 16.0ms (3.9% of total)

const: 11.0ms (2.7% of total)

ival-pi: 2.0ms (0.5% of total)

ival-sub: 2.0ms (0.5% of total)

ival-neg: 2.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory

8.3MiB live, 103.9MiB allocated; 14ms collecting garbage

Counts

23 → 108

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

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)
(* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))
(* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(/ (* r (sin (+ b (* 2 (PI))))) (cos (+ a b)))
(* r (- (* 1/120 (pow b 2)) 1/6))
(* -1 (* b (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1))))
(* -1 (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1)))
(/ (* 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)))))
(/ (* r (sin (+ b (* 2 (PI))))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (+ b (* 2 (PI))))))) (pow (cos b) 2)) (/ (* r (sin (+ b (* 2 (PI))))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (+ b (* 2 (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (+ b (* 2 (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (+ b (* 2 (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (+ b (* 2 (PI))))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (+ b (* 2 (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (+ b (* 2 (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (+ b (* 2 (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (+ b (* 2 (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (+ b (* 2 (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (+ b (* 2 (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (+ b (* 2 (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (+ b (* 2 (PI))))) (cos b)))
(/ (sin (+ b (* 2 (PI)))) (cos b))
(+ (/ (sin (+ b (* 2 (PI)))) (cos b)) (/ (* a (* (sin b) (sin (+ b (* 2 (PI)))))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (+ b (* 2 (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (+ b (* 2 (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (+ b (* 2 (PI))))) (pow (cos b) 2))))) (/ (sin (+ b (* 2 (PI)))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (+ b (* 2 (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (+ b (* 2 (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (+ b (* 2 (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (+ b (* 2 (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (+ b (* 2 (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (+ b (* 2 (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (+ b (* 2 (PI))))) (pow (cos b) 2))))) (/ (sin (+ b (* 2 (PI)))) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(+ (cos b) (* 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)))))))
b
(+ b (* -1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (+ (* -1/2 b) (* 1/24 (* (pow a 2) b)))))
(+ b (* (pow a 2) (+ (* -1/2 b) (* (pow a 2) (+ (* -1/720 (* (pow a 2) b)) (* 1/24 b))))))
(/ (sin (+ b (* 2 (PI)))) (cos (+ a b)))
(cos (+ a b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (cos a) (cos b))
(* b (cos a))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin (+ b (* 2 (PI))))) (cos (- b (* -1 a))))
(/ (sin (+ b (* 2 (PI)))) (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 (+ 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 (+ 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))))
r
(+ r (* -1/6 (* (pow b 2) r)))
(+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))
(sin (* 2 (PI)))
(+ (sin (* 2 (PI))) (* b (cos (* 2 (PI)))))
(+ (sin (* 2 (PI))) (* b (+ (cos (* 2 (PI))) (* -1/2 (* b (sin (* 2 (PI))))))))
(+ (sin (* 2 (PI))) (* b (+ (cos (* 2 (PI))) (* b (+ (* -1/2 (sin (* 2 (PI)))) (* -1/6 (* b (cos (* 2 (PI))))))))))
(* 2 (PI))
(+ b (* 2 (PI)))
(/ (* r (sin (* 2 (PI)))) (cos a))
(+ (* b (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (/ (* r (sin (* 2 (PI)))) (cos a)))
(+ (* b (- (+ (/ (* b (* (sin a) (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2)))))) (cos a)) (/ (* r (cos (* 2 (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (/ (* r (sin (* 2 (PI)))) (cos a)))
(+ (* b (- (+ (* b (- (* b (- (* -1/6 (/ (* r (cos (* 2 (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (cos a))))) (/ (* r (cos (* 2 (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (/ (* r (sin (* 2 (PI)))) (cos a)))
(/ (sin (* 2 (PI))) (cos a))
(+ (* b (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (/ (sin (* 2 (PI))) (cos a)))
(+ (* b (- (+ (/ (cos (* 2 (PI))) (cos a)) (/ (* b (* (sin a) (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (/ (sin (* 2 (PI))) (cos a)))
(+ (* b (- (+ (* b (- (* b (- (* -1/6 (/ (cos (* 2 (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (cos a))))) (/ (cos (* 2 (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (/ (sin (* 2 (PI))) (cos a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(+ (cos a) (* 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)))))))
(* -1/6 r)
(+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))
-1/6
(- (* 1/120 (pow b 2)) 1/6)
(sin b)
(* 1/120 (* (pow b 5) r))
(* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))
(* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))
(* 1/120 (* (pow b 4) r))
(* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))
(* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))
(sin (+ b (* 2 (PI))))
(* b (+ 1 (* 2 (/ (PI) b))))
(* 1/120 (* (pow b 2) r))
(* (pow b 2) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))
(* 1/120 (pow b 2))
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* -1 (* (pow b 5) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2))))))
(* -1 (* (pow b 5) (+ (* -1 (/ r (pow b 4))) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2)))))))
(sin (- (* 2 (PI)) (* -1 b)))
(* -1 (* b (- (* -2 (/ (PI) b)) 1)))
(/ (* r (sin (- (* 2 (PI)) (* -1 b)))) (cos (- a (* -1 b))))
(/ (sin (- (* 2 (PI)) (* -1 b))) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	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) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (sin (+ (+ (PI) b) (PI))) (+ (+ (PI) b) (PI)) (* r (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b)))) (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos (+ a b)) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6) (* (cos a) b))
8.0ms	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) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (sin (+ (+ (PI) b) (PI))) (+ (+ (PI) b) (PI)) (* r (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b)))) (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos (+ a b)) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6) (* (cos a) b))
6.0ms	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) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (sin (+ (+ (PI) b) (PI))) (+ (+ (PI) b) (PI)) (* r (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b)))) (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos (+ a b)) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6) (* (cos a) b))
6.0ms	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) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (sin (+ (+ (PI) b) (PI))) (+ (+ (PI) b) (PI)) (* r (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b)))) (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos (+ a b)) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6) (* (cos a) b))
5.0ms	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) (* (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (+ (* (* r (+ (* 1/120 (* b b)) -1/6)) (* b b)) r) (sin (+ (+ (PI) b) (PI))) (+ (+ (PI) b) (PI)) (* r (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b)))) (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos (+ a b)) (* r (+ (* 1/120 (* b b)) -1/6)) (+ (* 1/120 (* b b)) -1/6) (* (cos a) b))

simplify168.0ms (1.8%)

Memory

-5.1MiB live, 160.9MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	2433
1	1608	2262
2	6406	2006
0	8243	1883

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

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)
(* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))
(* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(/ (* r (sin (+ b (* 2 (PI))))) (cos (+ a b)))
(* r (- (* 1/120 (pow b 2)) 1/6))
(* -1 (* b (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1))))
(* -1 (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1)))
(/ (* 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)))))
(/ (* r (sin (+ b (* 2 (PI))))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (+ b (* 2 (PI))))))) (pow (cos b) 2)) (/ (* r (sin (+ b (* 2 (PI))))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (+ b (* 2 (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (+ b (* 2 (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (+ b (* 2 (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (+ b (* 2 (PI))))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (+ b (* 2 (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (+ b (* 2 (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (+ b (* 2 (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (+ b (* 2 (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (+ b (* 2 (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (+ b (* 2 (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (+ b (* 2 (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (+ b (* 2 (PI))))) (cos b)))
(/ (sin (+ b (* 2 (PI)))) (cos b))
(+ (/ (sin (+ b (* 2 (PI)))) (cos b)) (/ (* a (* (sin b) (sin (+ b (* 2 (PI)))))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (+ b (* 2 (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (+ b (* 2 (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (+ b (* 2 (PI))))) (pow (cos b) 2))))) (/ (sin (+ b (* 2 (PI)))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (+ b (* 2 (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (+ b (* 2 (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (+ b (* 2 (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (+ b (* 2 (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (+ b (* 2 (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (+ b (* 2 (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (+ b (* 2 (PI))))) (pow (cos b) 2))))) (/ (sin (+ b (* 2 (PI)))) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(+ (cos b) (* 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)))))))
b
(+ b (* -1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (+ (* -1/2 b) (* 1/24 (* (pow a 2) b)))))
(+ b (* (pow a 2) (+ (* -1/2 b) (* (pow a 2) (+ (* -1/720 (* (pow a 2) b)) (* 1/24 b))))))
(/ (sin (+ b (* 2 (PI)))) (cos (+ a b)))
(cos (+ a b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (cos a) (cos b))
(* b (cos a))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin (+ b (* 2 (PI))))) (cos (- b (* -1 a))))
(/ (sin (+ b (* 2 (PI)))) (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 (+ 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 (+ 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))))
r
(+ r (* -1/6 (* (pow b 2) r)))
(+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))
(sin (* 2 (PI)))
(+ (sin (* 2 (PI))) (* b (cos (* 2 (PI)))))
(+ (sin (* 2 (PI))) (* b (+ (cos (* 2 (PI))) (* -1/2 (* b (sin (* 2 (PI))))))))
(+ (sin (* 2 (PI))) (* b (+ (cos (* 2 (PI))) (* b (+ (* -1/2 (sin (* 2 (PI)))) (* -1/6 (* b (cos (* 2 (PI))))))))))
(* 2 (PI))
(+ b (* 2 (PI)))
(/ (* r (sin (* 2 (PI)))) (cos a))
(+ (* b (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (/ (* r (sin (* 2 (PI)))) (cos a)))
(+ (* b (- (+ (/ (* b (* (sin a) (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2)))))) (cos a)) (/ (* r (cos (* 2 (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (/ (* r (sin (* 2 (PI)))) (cos a)))
(+ (* b (- (+ (* b (- (* b (- (* -1/6 (/ (* r (cos (* 2 (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (cos a))))) (/ (* r (cos (* 2 (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (/ (* r (sin (* 2 (PI)))) (cos a)))
(/ (sin (* 2 (PI))) (cos a))
(+ (* b (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (/ (sin (* 2 (PI))) (cos a)))
(+ (* b (- (+ (/ (cos (* 2 (PI))) (cos a)) (/ (* b (* (sin a) (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (/ (sin (* 2 (PI))) (cos a)))
(+ (* b (- (+ (* b (- (* b (- (* -1/6 (/ (cos (* 2 (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (cos a))))) (/ (cos (* 2 (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (/ (sin (* 2 (PI))) (cos a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(+ (cos a) (* 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)))))))
(* -1/6 r)
(+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))
-1/6
(- (* 1/120 (pow b 2)) 1/6)
(sin b)
(* 1/120 (* (pow b 5) r))
(* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))
(* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))
(* 1/120 (* (pow b 4) r))
(* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))
(* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))
(sin (+ b (* 2 (PI))))
(* b (+ 1 (* 2 (/ (PI) b))))
(* 1/120 (* (pow b 2) r))
(* (pow b 2) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))
(* 1/120 (pow b 2))
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* -1 (* (pow b 5) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2))))))
(* -1 (* (pow b 5) (+ (* -1 (/ r (pow b 4))) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2)))))))
(sin (- (* 2 (PI)) (* -1 b)))
(* -1 (* b (- (* -2 (/ (PI) b)) 1)))
(/ (* r (sin (- (* 2 (PI)) (* -1 b)))) (cos (- a (* -1 b))))
(/ (sin (- (* 2 (PI)) (* -1 b))) (cos (- a (* -1 b))))
(cos (- a (* -1 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)
(* b (* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))
(.f64 (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) r)
(* r (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 b b)) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) r)
(/ (* r (sin (+ b (* 2 (PI))))) (cos (+ a b)))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(* r (- (* 1/120 (pow b 2)) 1/6))
(.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) r)
(* -1 (* b (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1))))
(.f64 (.f64 (neg.f64 b) r) (-.f64 (.f64 (.f64 (neg.f64 b) b) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 b b)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(* -1 (* r (- (* -1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))) 1)))
(.f64 (neg.f64 r) (-.f64 (.f64 (.f64 (neg.f64 b) b) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/ (* r (sin b)) (cos b))
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(+ (* b (- (+ (* b (- (* b (- (* -1/6 (/ (* r (cos (* 2 (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (/ (* r (cos (* 2 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (cos a))))) (/ (* r (cos (* 2 (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (* 2 (PI))))) (pow (cos a) 2))))) (/ (* r (sin (* 2 (PI)))) (cos a)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) r) (cos.f64 a)) r) (cos.f64 a)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) r (neg.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) r) (cos.f64 a)) r) (cos.f64 a)) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) r) (cos.f64 a)) r) (cos.f64 a)) (/.f64 (sin.f64 a) (cos.f64 a)))) b (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) r) (cos.f64 a)) r) (cos.f64 a))) b (*.f64 #s(literal 0 binary64) (/.f64 r (cos.f64 a))))
(/ (sin (* 2 (PI))) (cos a))
(/.f64 #s(literal 0 binary64) (cos.f64 a))
(+ (* b (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (/ (sin (* 2 (PI))) (cos a)))
(fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b (/.f64 #s(literal 0 binary64) (cos.f64 a)))
(+ (* b (- (+ (/ (cos (* 2 (PI))) (cos a)) (/ (* b (* (sin a) (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (/ (sin (* 2 (PI))) (cos a)))
(fma.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) (fma.f64 (.f64 (sin.f64 a) b) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) #s(literal 1 binary64))) (cos.f64 a)) b (/.f64 #s(literal 0 binary64) (cos.f64 a)))
(+ (* b (- (+ (* b (- (* b (- (* -1/6 (/ (cos (* 2 (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (/ (cos (* 2 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (cos a))))) (/ (cos (* 2 (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (* 2 (PI)))) (pow (cos a) 2))))) (/ (sin (* 2 (PI))) (cos a)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) (sin.f64 a) (neg.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) (/.f64 (sin.f64 a) (cos.f64 a)))) b (/.f64 (+.f64 (/.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a))) b (/.f64 #s(literal 0 binary64) (cos.f64 a)))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) 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) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (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))
(* -1/6 r)
(*.f64 #s(literal -1/6 binary64) r)
(+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))
(.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow b 2)) 1/6)
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 b b)) #s(literal 1/6 binary64))
(sin b)
(sin.f64 b)
(* 1/120 (* (pow b 5) r))
(.f64 (.f64 (pow.f64 b #s(literal 5 binary64)) r) #s(literal 1/120 binary64))
(* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))
(.f64 (fma.f64 (/.f64 r (.f64 b b)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) r)) (pow.f64 b #s(literal 5 binary64)))
(* (pow b 5) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))
(.f64 (fma.f64 (/.f64 r (.f64 b b)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) r (/.f64 r (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 5 binary64)))
(* 1/120 (* (pow b 4) r))
(.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) r) #s(literal 1/120 binary64))
(* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))
(.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (/.f64 r (.f64 b b)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) r)))
(* (pow b 4) (+ (* -1/6 (/ r (pow b 2))) (+ (* 1/120 r) (/ r (pow b 4)))))
(.f64 (fma.f64 (/.f64 r (.f64 b b)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) r (/.f64 r (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(sin (+ b (* 2 (PI))))
(neg.f64 (neg.f64 (sin.f64 b)))
(* b (+ 1 (* 2 (/ (PI) b))))
(*.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64) #s(literal 1 binary64)) b)
(* 1/120 (* (pow b 2) r))
(.f64 (.f64 (*.f64 b b) r) #s(literal 1/120 binary64))
(* (pow b 2) (+ (* -1/6 (/ r (pow b 2))) (* 1/120 r)))
(.f64 (.f64 (fma.f64 (/.f64 r (.f64 b b)) #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) r)) b) b)
(* 1/120 (pow b 2))
(.f64 #s(literal 1/120 binary64) (.f64 b b))
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b))) b) b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(* -1 (* (pow b 5) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2))))))
(.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))) (fma.f64 #s(literal -1/120 binary64) r (.f64 (/.f64 r (*.f64 b b)) #s(literal 1/6 binary64))))
(* -1 (* (pow b 5) (+ (* -1 (/ r (pow b 4))) (+ (* -1/120 r) (* 1/6 (/ r (pow b 2)))))))
(*.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 r b) (fma.f64 #s(literal -1/120 binary64) r (/.f64 (neg.f64 r) (pow.f64 b #s(literal 4 binary64))))))
(sin (- (* 2 (PI)) (* -1 b)))
(neg.f64 (neg.f64 (sin.f64 b)))
(* -1 (* b (- (* -2 (/ (PI) b)) 1)))
(.f64 (neg.f64 b) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (PI.f64) b)) #s(literal 1 binary64)))
(/ (* r (sin (- (* 2 (PI)) (* -1 b)))) (cos (- a (* -1 b))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/ (sin (- (* 2 (PI)) (* -1 b))) (cos (- a (* -1 b))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))

rewrite251.0ms (2.8%)

Memory

-17.5MiB live, 213.3MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	276
0	93	283
1	327	237
2	2168	237
0	8138	237

Stop Event

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

Counts

23 → 379

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

Outputs
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))
(.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 (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 (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 r (cos.f64 (+.f64 a b))) (sin.f64 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 (neg.f64 (sin.f64 b))) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (neg.f64 (neg.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))))
(/.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)))))
(*.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 (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)
(.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (.f64 b b) r))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 r) r)) b) (-.f64 (.f64 (.f64 (.f64 b b) r) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 r #s(literal 3 binary64))) b) (fma.f64 r (-.f64 r (.f64 (.f64 (.f64 b b) r) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (.f64 (pow.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (.f64 b (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 r) r))) (-.f64 (.f64 (.f64 (.f64 b b) r) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))
(/.f64 (.f64 b (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 r (-.f64 r (.f64 (.f64 (.f64 b b) r) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (.f64 (pow.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 b b) r) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b (*.f64 b r))
(fma.f64 b (.f64 (.f64 (.f64 b b) r) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 b r))
(fma.f64 b r (.f64 (.f64 (.f64 (.f64 b b) r) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b))
(fma.f64 b r (.f64 b (.f64 (.f64 (.f64 b b) r) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))
(fma.f64 r b (.f64 (.f64 (.f64 (.f64 b b) r) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b))
(fma.f64 r b (.f64 b (.f64 (.f64 (.f64 b b) r) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))
(+.f64 (.f64 (.f64 (.f64 (.f64 b b) r) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b) (.f64 b r))
(+.f64 (.f64 b (.f64 (.f64 (.f64 b b) r) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (.f64 b r))
(+.f64 (.f64 b r) (.f64 (.f64 (.f64 (.f64 b b) r) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b))
(+.f64 (.f64 b r) (.f64 b (.f64 (.f64 (.f64 b b) r) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (.f64 b b) r) b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) r) (.f64 b b) r) b))) (neg.f64 (cos.f64 (+.f64 a b))))
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(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
(fma.f64 b (fabs.f64 (*.f64 (neg.f64 b) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(fma.f64 b (fabs.f64 (*.f64 #s(literal 1/120 binary64) b)) #s(literal -1/6 binary64))
(fma.f64 b (*.f64 #s(literal 1/120 binary64) b) #s(literal -1/6 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(-.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/120 binary64) b)) b))
(-.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 (.f64 b b)) #s(literal 1/120 binary64)))
(-.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 b b)))
(+.f64 (/.f64 (.f64 #s(literal 1/1728000 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 b b) #s(literal -1/720 binary64))))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 b b) #s(literal -1/720 binary64))))))
(+.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) #s(literal 1/120 binary64)))
(*.f64 (cos.f64 a) b)
(*.f64 b (cos.f64 a))

eval78.0ms (0.9%)

Memory: 41.9MiB live, 125.3MiB allocated; 15ms collecting garbage
Compiler: Compiled 14 268 to 2 198 computations (84.6% saved)

prune68.0ms (0.7%)

Memory

-12.4MiB live, 94.5MiB allocated; 14ms collecting garbage

Pruning

57 alts after pruning (50 fresh and 7 done)

	Pruned	Kept	Total
New	400	17	417
Fresh	4	33	37
Picked	1	4	5
Done	0	3	3
Total	405	57	462

Accuracy

99.9%

Counts

462 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	45.6%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	61.7%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
	48.4%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
✓	43.6%	(/.f64 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
	43.2%	(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r #s(approx (+ (* 1/120 (* b b)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 b b)))) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	43.9%	(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
	43.5%	(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))))
	76.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	76.8%	(.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))))
	59.3%	(.f64 (sin.f64 b) (/.f64 r #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)))))
	36.6%	(.f64 r (/.f64 (-.f64 (.f64 (neg.f64 (sin.f64 b)) (cos.f64 (.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (neg.f64 (cos.f64 b)) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (cos.f64 (+.f64 a b))))
	3.8%	(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (+.f64 (PI.f64) (PI.f64)))) (cos.f64 (+.f64 a b))))
	18.2%	(.f64 r (/.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) b) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (PI.f64) b) (PI.f64)))) (cos.f64 (+.f64 a b))))
	36.7%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b))))
✓	36.7%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
	7.8%	(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
▶	7.5%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)))) (cos.f64 (+.f64 a b))))
	7.6%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
✓	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	59.7%	(.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)))))))
	59.6%	(.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)))))))
	63.1%	(.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))))))
	44.7%	(.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))))))
	78.0%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.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 (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))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (.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))) (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)))))))
	99.2%	(.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))))))))
	33.9%	(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 (PI.f64) #s(literal 1/2 binary64))) a))))
	12.4%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
	35.0%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
	59.9%	(.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)))))
	61.7%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
	33.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b)))))
	48.4%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	43.9%	(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
	78.3%	(.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)))))
	76.8%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
	76.8%	(.f64 r (.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)))))
	12.4%	(*.f64 r #s(approx (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
	43.9%	(.f64 r #s(approx (/ (sin b) (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
	29.7%	(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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)))))
▶	59.3%	#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) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))))
▶	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)))))
	99.5%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	43.8%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (.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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
	43.8%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
▶	61.7%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	34.8%	#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 a) b)))))
	33.8%	#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 (sin.f64 b) r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
	29.7%	#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 b r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
	43.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
	29.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
✓	44.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	28.2%	#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))
	28.3%	#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))
▶	28.2%	#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))
✓	29.3%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 729 to 1 862 computations (31.8% saved)

simplify122.0ms (1.3%)

Memory

-12.4MiB live, 129.2MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (sin.f64 b) r)
cost-diff	0	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b)))))
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) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))))
cost-diff	0	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)))) (cos.f64 (+.f64 a b))))
cost-diff	1	(+.f64 (+.f64 (PI.f64) b) (PI.f64))
cost-diff	2	(+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64))
cost-diff	4	(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64))))
cost-diff	0	(/.f64 r (cos.f64 b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
cost-diff	0	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
cost-diff	0	#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)
cost-diff	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))
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 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
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 (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	55	412
0	89	402
1	169	400
2	311	388
3	678	384
4	1672	384
5	3967	384
6	7936	384
0	8351	381

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

localize378.0ms (4.2%)

Memory

15.7MiB live, 496.1MiB allocated; 48ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10841752930532605	(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))
accuracy	0.14453125	(*.f64 (sin.f64 b) r)
accuracy	0.20703125	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b)))))
accuracy	27.961112443836083	#s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b)))
accuracy	0.203125	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)))) (cos.f64 (+.f64 a b))))
accuracy	0.21484375	(/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)))) (cos.f64 (+.f64 a b)))
accuracy	14.706278904583773	(cos.f64 (+.f64 a b))
accuracy	59.93084837576574	(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64))))
accuracy	0.0078125	(sin.f64 b)
accuracy	0.11328125	(/.f64 r (cos.f64 b))
accuracy	0.171875	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
accuracy	24.40392590989625	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
accuracy	0.0859375	(.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b)
accuracy	0.125	(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	27.970534683640945	#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	35.82069934430801	#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))
accuracy	0.11947250976844202	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
accuracy	0.14453125	(*.f64 (sin.f64 b) r)
accuracy	0.203125	(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
accuracy	0.20703125	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))

Samples

241.0ms	212×	1	valid
95.0ms	42×	2	valid
1.0ms	2×	0	valid

Compiler

Compiled 304 to 46 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-add: 67.0ms (24.4% of total)

ival-mult: 49.0ms (17.8% of total)

ival-sin: 46.0ms (16.7% of total)

adjust: 40.0ms (14.6% of total)

ival-div: 39.0ms (14.2% of total)

ival-cos: 26.0ms (9.5% of total)

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

ival-pi: 3.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory

-23.5MiB live, 73.9MiB allocated; 15ms collecting garbage

Counts

23 → 109

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	b	@	0	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (* (sin b) (/ r (cos b))) (/ r (cos b)) (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (+ (+ (+ (PI) b) (PI)) (PI)) (+ (+ (PI) b) (PI)) (* r (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (neg (sin a)) (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos (+ a b)) (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))))
10.0ms	r	@	inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (* (sin b) (/ r (cos b))) (/ r (cos b)) (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (+ (+ (+ (PI) b) (PI)) (PI)) (+ (+ (PI) b) (PI)) (* r (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (neg (sin a)) (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos (+ a b)) (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))))
6.0ms	r	@	-inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (* (sin b) (/ r (cos b))) (/ r (cos b)) (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (+ (+ (+ (PI) b) (PI)) (PI)) (+ (+ (PI) b) (PI)) (* r (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (neg (sin a)) (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos (+ a b)) (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))))
6.0ms	r	@	0	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (* (sin b) (/ r (cos b))) (/ r (cos b)) (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (+ (+ (+ (PI) b) (PI)) (PI)) (+ (+ (PI) b) (PI)) (* r (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (neg (sin a)) (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos (+ a b)) (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))))
5.0ms	b	@	-inf	((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (* (sin b) (/ r (cos b))) (/ r (cos b)) (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (+ (+ (+ (PI) b) (PI)) (PI)) (+ (+ (PI) b) (PI)) (* r (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (neg (sin a)) (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos (+ a b)) (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))))

simplify206.0ms (2.3%)

Memory

39.4MiB live, 227.5MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	544	2648
1	1912	2437
2	7624	2392
0	8072	2214

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 107

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))
(/ r (cos a))
(/ (* r (sin b)) (cos b))
(/ r (cos b))
(/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos (+ a b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI))))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(cos b)
(+ (cos b) (* -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) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b))
(+ (/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b)) (/ (* a (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b)))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(cos a)
(* -1 (* (sin a) (sin b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos (+ a b))
(/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos (+ a b)))
(* (cos a) (cos b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (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 (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(+ r (* 1/2 (* (pow b 2) r)))
(+ r (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(sin (neg (+ (PI) (* 2 (PI)))))
(+ (sin (neg (+ (PI) (* 2 (PI))))) (* -1 (* b (cos (neg (+ (PI) (* 2 (PI))))))))
(+ (sin (neg (+ (PI) (* 2 (PI))))) (* b (+ (* -1 (cos (neg (+ (PI) (* 2 (PI)))))) (* -1/2 (* b (sin (neg (+ (PI) (* 2 (PI))))))))))
(+ (sin (neg (+ (PI) (* 2 (PI))))) (* b (+ (* -1 (cos (neg (+ (PI) (* 2 (PI)))))) (* b (+ (* -1/2 (sin (neg (+ (PI) (* 2 (PI)))))) (* 1/6 (* b (cos (neg (+ (PI) (* 2 (PI))))))))))))
(+ (PI) (* 2 (PI)))
(+ b (+ (PI) (* 2 (PI))))
(* 2 (PI))
(+ b (* 2 (PI)))
(/ (* r (sin (neg (+ (PI) (* 2 (PI)))))) (cos a))
(+ (* b (- (* -1 (/ (* r (cos (neg (+ (PI) (* 2 (PI)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (+ (PI) (* 2 (PI))))))) (pow (cos a) 2))))) (/ (* r (sin (neg (+ (PI) (* 2 (PI)))))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (+ (PI) (* 2 (PI)))))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (neg (+ (PI) (* 2 (PI)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (+ (PI) (* 2 (PI))))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (+ (PI) (* 2 (PI))))))) (pow (cos a) 2))))) (/ (* r (sin (neg (+ (PI) (* 2 (PI)))))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (+ (PI) (* 2 (PI)))))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (neg (+ (PI) (* 2 (PI)))))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (neg (+ (PI) (* 2 (PI)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (+ (PI) (* 2 (PI))))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (neg (+ (PI) (* 2 (PI)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (+ (PI) (* 2 (PI))))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (neg (+ (PI) (* 2 (PI))))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (neg (+ (PI) (* 2 (PI)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (+ (PI) (* 2 (PI))))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (neg (+ (PI) (* 2 (PI))))))) (pow (cos a) 2))))) (/ (* r (sin (neg (+ (PI) (* 2 (PI)))))) (cos a)))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(+ (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) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(/ (sin (neg (+ (PI) (* 2 (PI))))) (cos a))
(+ (* b (- (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))) (/ (sin (neg (+ (PI) (* 2 (PI))))) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))) (/ (sin (neg (+ (PI) (* 2 (PI))))) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))) (/ (sin (neg (+ (PI) (* 2 (PI))))) (cos a)))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(sin b)
(sin (neg (+ b (+ (PI) (* 2 (PI))))))
(* b (+ 1 (+ (* 2 (/ (PI) b)) (/ (PI) b))))
(* b (+ 1 (* 2 (/ (PI) b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(sin (- (* -1 b) (+ (PI) (* 2 (PI)))))
(* -1 (* b (- (* -1 (/ (+ (PI) (* 2 (PI))) b)) 1)))
(* -1 (* b (- (* -2 (/ (PI) b)) 1)))
(/ (* r (sin (- (* -1 b) (+ (PI) (* 2 (PI)))))) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(/ (sin (- (* -1 b) (+ (PI) (* 2 (PI))))) (cos (- a (* -1 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)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos (+ a b)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) r) (cos.f64 (+.f64 a 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 (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))))
(* b r)
(*.f64 b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) r (.f64 (.f64 (neg.f64 a) a) (.f64 (.f64 b r) #s(literal -5/24 binary64)))) (.f64 a a) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) r (.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 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) (* 2 (PI))))))) (cos b))
(*.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI))))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) r (/.f64 (.f64 (.f64 a (*.f64 (sin.f64 b) r)) (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b)))) (cos.f64 b))) (cos.f64 b))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b)))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (/.f64 r (cos.f64 b))) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b)))) r) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (.f64 (.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (sin.f64 b)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (cos b)))
(fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 a) (fma.f64 (.f64 (.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (sin.f64 b)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (/.f64 r (cos.f64 b))) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b)))) r) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (/.f64 r (cos.f64 b))) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b)))) r) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a (.f64 (.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (sin.f64 b)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (/.f64 r (cos.f64 b))))
(* -1 (* a (sin b)))
(*.f64 (neg.f64 a) (sin.f64 b))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(.f64 (fma.f64 (.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (.f64 a a) #s(literal 1/6 binary64))) (.f64 a a) (neg.f64 (sin.f64 b))) a)
(* 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)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (.f64 a a) #s(literal -1/120 binary64))) (.f64 a a) (.f64 #s(literal 1/6 binary64) (sin.f64 b))) (.f64 a a) (neg.f64 (sin.f64 b))) a)
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 b)) a (.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 b)) a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b))
(/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b))
(/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (cos.f64 b))
(+ (/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b)) (/ (* a (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI)))))))) (pow (cos b) 2)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 a (sin.f64 b)) (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b)))) (cos.f64 b)) (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b)))) (cos.f64 b))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b)))
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(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (+ (PI) (* 2 (PI))))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (+ (PI) (* 2 (PI)))))) (cos b)))
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(fma.f64 (/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (sin.f64 a)) (cos.f64 a)) (cos.f64 (fma.f64 #s(literal -3 binary64) (PI.f64) (PI.f64)))) (cos.f64 a)) b (/.f64 (sin.f64 (*.f64 #s(literal -3 binary64) (PI.f64))) (cos.f64 a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))) (/ (sin (neg (+ (PI) (* 2 (PI))))) (cos a)))
(fma.f64 (/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (sin.f64 a)) (cos.f64 a)) (fma.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (sin.f64 a)) (cos.f64 a)) (cos.f64 (fma.f64 #s(literal -3 binary64) (PI.f64) (PI.f64)))) (cos.f64 a)) (sin.f64 a)) b (cos.f64 (fma.f64 #s(literal -3 binary64) (PI.f64) (PI.f64))))) (cos.f64 a)) b (/.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (cos.f64 a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (neg (+ (PI) (* 2 (PI))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (neg (+ (PI) (* 2 (PI)))))) (pow (cos a) 2))))) (/ (sin (neg (+ (PI) (* 2 (PI))))) (cos a)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (cos.f64 a)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (sin.f64 a)) (cos.f64 a)) (cos.f64 (fma.f64 #s(literal -3 binary64) (PI.f64) (PI.f64)))) (cos.f64 a)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64)))) (sin.f64 a) (neg.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (sin.f64 a)) (cos.f64 a)) (cos.f64 (fma.f64 #s(literal -3 binary64) (PI.f64) (PI.f64)))) (cos.f64 a)) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (.f64 (/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (sin.f64 a)) (cos.f64 a)) (cos.f64 (fma.f64 #s(literal -3 binary64) (PI.f64) (PI.f64)))) (cos.f64 a)) (/.f64 (sin.f64 a) (cos.f64 a)))) b (/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (sin.f64 a)) (cos.f64 a)) (cos.f64 (fma.f64 #s(literal -3 binary64) (PI.f64) (PI.f64)))) (cos.f64 a))) b (/.f64 (sin.f64 (*.f64 #s(literal -3 binary64) (PI.f64))) (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))
(sin b)
(sin.f64 b)
(sin (neg (+ b (+ (PI) (* 2 (PI))))))
(neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b)))
(* b (+ 1 (+ (* 2 (/ (PI) b)) (/ (PI) b))))
(*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) b) #s(literal 1 binary64)) b)
(* b (+ 1 (* 2 (/ (PI) b))))
(*.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 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) (* 2 (PI)))))
(neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b)))
(* -1 (* b (- (* -1 (/ (+ (PI) (* 2 (PI))) b)) 1)))
(.f64 (neg.f64 b) (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (PI.f64) b)) #s(literal 1 binary64)))
(* -1 (* b (- (* -2 (/ (PI) b)) 1)))
(.f64 (neg.f64 b) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (PI.f64) b)) #s(literal 1 binary64)))
(/ (* r (sin (- (* -1 b) (+ (PI) (* 2 (PI)))))) (cos (- a (* -1 b))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) r) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(/ (sin (- (* -1 b) (+ (PI) (* 2 (PI))))) (cos (- a (* -1 b))))
(/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (cos.f64 (+.f64 a b)))

rewrite226.0ms (2.5%)

Memory

-7.2MiB live, 271.8MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	326
0	89	281
1	314	278
2	2015	262
0	8290	260

Stop Event

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

Counts

23 → 391

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

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)) (cos.f64 (-.f64 a b)))) (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 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #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 b) (cos.f64 a)) #s(literal 2 binary64))))
(.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 b) (cos.f64 a)) #s(literal 3 binary64)))) (fma.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)) (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 (/.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))) (neg.f64 (neg.f64 (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)))))
(*.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))))) (/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b)
(.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
(.f64 r (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 r) b) (neg.f64 #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
(/.f64 (.f64 b (neg.f64 r)) (neg.f64 #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 b r)) (neg.f64 #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
(/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(/.f64 (neg.f64 r) (neg.f64 #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
(/.f64 r #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 r) #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
(neg.f64 (/.f64 r (neg.f64 #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
#s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 r (tan.f64 b))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (cos.f64 b))))
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 b)))
(/.f64 r (cos.f64 b))
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 b)))
(neg.f64 (/.f64 r (neg.f64 (cos.f64 b))))
(neg.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 1 binary64) (.f64 (neg.f64 (cos.f64 b)) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cos.f64 b))) (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) #s(literal -1 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) #s(literal 0 binary64)))
(sin.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b))))))
(sin.f64 (neg.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b))) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b)))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b))) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b)) (PI.f64)))
(sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b))))
(-.f64 (.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b))) #s(literal 0 binary64)) (.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) #s(literal -1 binary64)) (.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b))) #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) #s(literal -1 binary64)) (.f64 (neg.f64 (neg.f64 (cos.f64 b))) #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 b)) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cos.f64 b)))) (.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) b) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) (-.f64 (+.f64 (PI.f64) b) (.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) b) #s(literal 2 binary64))) (-.f64 (PI.f64) (fma.f64 #s(literal 2 binary64) (PI.f64) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) b) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (PI.f64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64)) (.f64 (+.f64 (PI.f64) b) (.f64 #s(literal 2 binary64) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) b) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) b) (PI.f64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) b) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (-.f64 (PI.f64) (fma.f64 #s(literal 2 binary64) (PI.f64) b)) (pow.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) b) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (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 #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) (-.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b)))))
(/.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (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 #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
(/.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) (-.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(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) a) a #s(literal 1 binary64)) (cos.f64 b))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))) (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))))
(-.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (/.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) (-.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) #s(literal 3 binary64)) (fma.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) (-.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))
(+.f64 #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))

eval125.0ms (1.4%)

Memory: 0.5MiB live, 148.9MiB allocated; 14ms collecting garbage
Compiler: Compiled 16 393 to 2 315 computations (85.9% saved)

prune91.0ms (1%)

Memory

11.8MiB live, 156.2MiB allocated; 16ms collecting garbage

Pruning

59 alts after pruning (48 fresh and 11 done)

	Pruned	Kept	Total
New	421	15	436
Fresh	12	33	45
Picked	1	4	5
Done	0	7	7
Total	434	59	493

Accuracy

99.9%

Counts

493 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	45.6%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	61.7%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
	48.4%	(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
✓	43.6%	(/.f64 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
	43.2%	(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r #s(approx (+ (* 1/120 (* b b)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 b b)))) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
	43.5%	(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))))
	76.8%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	37.0%	(.f64 r (/.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 1 binary64) (.f64 (neg.f64 (cos.f64 b)) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))) (cos.f64 (+.f64 a b))))
	3.8%	(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (+.f64 (PI.f64) (PI.f64)))) (cos.f64 (+.f64 a b))))
	18.2%	(.f64 r (/.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) b) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (PI.f64) b) (PI.f64)))) (cos.f64 (+.f64 a b))))
	36.6%	(*.f64 r (/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b)) (PI.f64))) (cos.f64 (+.f64 a b))))
✓	36.7%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
	7.8%	(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
	7.6%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
✓	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	59.7%	(.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)))))))
	59.6%	(.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)))))))
	63.1%	(.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))))))
	44.7%	(.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))))))
	99.2%	(.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))))))))
	33.9%	(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 (PI.f64) #s(literal 1/2 binary64))) a))))
	12.4%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
	35.0%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
	59.9%	(.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)))))
	61.7%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
	48.4%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	43.9%	(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
	76.8%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
	76.8%	(.f64 r (.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)))))
	5.3%	(.f64 r #s(approx (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (/.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (cos.f64 a))))
	7.3%	(*.f64 r #s(approx (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (cos.f64 b))))
	43.9%	(.f64 r #s(approx (/ (sin b) (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
	7.6%	#s(approx (* r (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b)))) (/.f64 (*.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) r) (cos.f64 (+.f64 a b))))
✓	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)))))
✓	59.3%	#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) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))))
✓	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)))))
	61.5%	#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) #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)))))
	51.1%	#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) #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)))))
	64.2%	#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) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a))))))
	66.4%	#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) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.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)))))
	28.2%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
	43.8%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (.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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
✓	61.7%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	28.9%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 (sin.f64 b) #s(approx (/ r (cos b)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r))))
	61.7%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
	29.0%	#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) #s(approx (* (sin b) (/ r (cos b))) (.f64 (fma.f64 (.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) b)))
	34.8%	#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 a) b)))))
	33.8%	#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 (sin.f64 b) r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
	29.7%	#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 b r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
	43.9%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
	29.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
✓	44.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	28.2%	#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))
	28.3%	#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))
✓	28.2%	#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))
	28.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
✓	29.3%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 3 804 to 1 563 computations (58.9% saved)

regimes120.0ms (1.3%)

Memory

2.6MiB live, 192.8MiB allocated; 15ms collecting garbage

Counts

92 → 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) #s(approx (* (sin b) (/ r (cos b))) (.f64 (fma.f64 (.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
#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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
#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)))) (.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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b 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 (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 (sin.f64 b) #s(approx (/ r (cos b)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 b r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r #s(approx (+ (* 1/120 (* b b)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 b b)))) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
#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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(*.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 #s(approx (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (/.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 (sin.f64 b) r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(*.f64 r #s(approx (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 (PI.f64) #s(literal 1/2 binary64))) 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 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))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 a) b)))))
#s(approx (* r (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b)))) (/.f64 (*.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) r) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b)) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.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 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(.f64 r (/.f64 #s(approx (sin b) (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)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (+.f64 (PI.f64) (PI.f64)))) (cos.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 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) b) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (PI.f64) b) (PI.f64)))) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) 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) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.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) #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 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) 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) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))))
(.f64 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)))))))
#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) #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)))))
#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) #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 (fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 1 binary64) (.f64 (neg.f64 (cos.f64 b)) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.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)))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (.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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (.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 (.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)))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.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)))))
#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) (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 (-.f64 (.f64 (neg.f64 (sin.f64 b)) (cos.f64 (.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (neg.f64 (cos.f64 b)) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (sin.f64 (.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (-.f64 (.f64 b (/.f64 b (-.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (-.f64 (*.f64 b (/.f64 b (-.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(.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)))))
(.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 (fma.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 (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))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (.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))) (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)))))))

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:

24.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
23.0ms	b
23.0ms	r
22.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
22.0ms	a

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)

regimes108.0ms (1.2%)

Memory

8.1MiB live, 145.8MiB allocated; 6ms collecting garbage

Counts

83 → 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) #s(approx (* (sin b) (/ r (cos b))) (.f64 (fma.f64 (.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
#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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
#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)))) (.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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b 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 (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 (sin.f64 b) #s(approx (/ r (cos b)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 b r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r #s(approx (+ (* 1/120 (* b b)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 b b)))) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
#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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(*.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 #s(approx (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (/.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 (sin.f64 b) r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(*.f64 r #s(approx (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 (PI.f64) #s(literal 1/2 binary64))) 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 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))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 a) b)))))
#s(approx (* r (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b)))) (/.f64 (*.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) r) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b)) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.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 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(.f64 r (/.f64 #s(approx (sin b) (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)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (+.f64 (PI.f64) (PI.f64)))) (cos.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 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) b) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (PI.f64) b) (PI.f64)))) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) 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) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.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) #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 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) 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) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))))
(.f64 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)))))))
#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) #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)))))
#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) #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 (fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 1 binary64) (.f64 (neg.f64 (cos.f64 b)) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.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)))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (.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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (.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 (.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)))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.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)))))
#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:

23.0ms	b
22.0ms	a
20.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
20.0ms	r
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)

regimes122.0ms (1.3%)

Memory

-53.6MiB live, 148.6MiB allocated; 14ms collecting garbage

Counts

82 → 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) #s(approx (* (sin b) (/ r (cos b))) (.f64 (fma.f64 (.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
#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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
#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)))) (.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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b 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 (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 (sin.f64 b) #s(approx (/ r (cos b)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 b r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r #s(approx (+ (* 1/120 (* b b)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 b b)))) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
#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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(*.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 #s(approx (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (/.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 (sin.f64 b) r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(*.f64 r #s(approx (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 (PI.f64) #s(literal 1/2 binary64))) 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 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))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 a) b)))))
#s(approx (* r (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b)))) (/.f64 (*.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) r) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b)) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.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 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(.f64 r (/.f64 #s(approx (sin b) (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)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (+.f64 (PI.f64) (PI.f64)))) (cos.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 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) b) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (PI.f64) b) (PI.f64)))) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) 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) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.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) #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 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) 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) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))))
(.f64 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)))))))
#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) #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)))))
#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) #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 (fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 1 binary64) (.f64 (neg.f64 (cos.f64 b)) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.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)))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (.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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (.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 (.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)))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.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)))))

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 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

Calls

5 calls:

21.0ms	a
20.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
20.0ms	b
20.0ms	r
19.0ms	(/.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)

regimes106.0ms (1.2%)

Memory

35.0MiB live, 175.1MiB allocated; 12ms collecting garbage

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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) #s(approx (* (sin b) (/ r (cos b))) (.f64 (fma.f64 (.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
#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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
#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)))) (.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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b 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 (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 (sin.f64 b) #s(approx (/ r (cos b)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 b r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r #s(approx (+ (* 1/120 (* b b)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 b b)))) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
#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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(*.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 #s(approx (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (/.f64 (sin.f64 (.f64 #s(literal -3 binary64) (PI.f64))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (neg.f64 b)) a))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 (sin.f64 b) r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(*.f64 r #s(approx (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b))) (/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (.f64 (PI.f64) #s(literal 1/2 binary64))) 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 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))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 a) b)))))
#s(approx (* r (/ (sin (neg (+ (+ (+ (PI) b) (PI)) (PI)))) (cos (+ a b)))) (/.f64 (*.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 3 binary64) (PI.f64) b))) r) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) b)) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.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 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(.f64 r (/.f64 #s(approx (sin b) (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)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (+.f64 (PI.f64) (PI.f64)))) (cos.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 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) b) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (PI.f64) b) (PI.f64)))) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) 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) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.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) #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 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) 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) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))))
(.f64 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)))))))
#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) #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)))))
#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) #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 (fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal 1 binary64) (.f64 (neg.f64 (cos.f64 b)) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.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)))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (.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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (.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 (.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)))))))

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

Calls

5 calls:

24.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
21.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
20.0ms	b
19.0ms	r
19.0ms	a

Results

Accuracy	Segments	Branch
76.9%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
76.9%	1	`a`
76.9%	1	`b`
76.9%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
76.9%	1	`r`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes66.0ms (0.7%)

Memory

-37.6MiB live, 62.7MiB allocated; 10ms collecting garbage

Counts

29 → 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) #s(approx (* (sin b) (/ r (cos b))) (.f64 (fma.f64 (.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
#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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
#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)))) (.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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b 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 (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 (sin.f64 b) #s(approx (/ r (cos b)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 b r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r #s(approx (+ (* 1/120 (* b b)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 b b)))) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
#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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(*.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:

19.0ms	a
8.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
8.0ms	b
8.0ms	r
7.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Accuracy	Segments	Branch
76.9%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
76.9%	1	`r`
76.9%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
76.9%	1	`a`
76.9%	1	`b`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes38.0ms (0.4%)

Memory

43.7MiB live, 43.7MiB allocated; 0ms collecting garbage

Counts

28 → 3

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) #s(approx (* (sin b) (/ r (cos b))) (.f64 (fma.f64 (.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
#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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
#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)))) (.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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b 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 (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 (sin.f64 b) #s(approx (/ r (cos b)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 b r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r #s(approx (+ (* 1/120 (* b b)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 b b)))) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
#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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
61.7%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
65.4%	2	`r`
76.5%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
76.9%	3	`a`
76.6%	3	`b`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes62.0ms (0.7%)

Memory

-40.8MiB live, 5.9MiB allocated; 2ms collecting garbage

Counts

26 → 3

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) #s(approx (* (sin b) (/ r (cos b))) (.f64 (fma.f64 (.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
#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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
#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)))) (.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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b 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 (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 (sin.f64 b) #s(approx (/ r (cos b)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 b r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r #s(approx (+ (* 1/120 (* b b)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 b b)))) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
#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))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))

Outputs

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

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

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

Calls

1 calls:

61.0ms

Results

Accuracy	Segments	Branch
76.9%	3	`a`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes14.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

23 → 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) #s(approx (* (sin b) (/ r (cos b))) (.f64 (fma.f64 (.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
#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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
#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)))) (.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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b 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 (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 (sin.f64 b) #s(approx (/ r (cos b)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 b r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r #s(approx (+ (* 1/120 (* b b)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 b b)))) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.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)) (cos.f64 (+.f64 a b)))
#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))))

Outputs

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

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

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

Calls

2 calls:

6.0ms	b
6.0ms	a

Results

Accuracy	Segments	Branch
76.6%	3	`b`
75.3%	3	`a`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

20 → 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) #s(approx (* (sin b) (/ r (cos b))) (.f64 (fma.f64 (.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
#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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
#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)))) (.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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b 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 (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 (sin.f64 b) #s(approx (/ r (cos b)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) r))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (.f64 b r) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(approx (* (sin b) r) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* (sin b) r) (.f64 (fma.f64 (.f64 r #s(approx (+ (* 1/120 (* b b)) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 b b)))) (*.f64 b b) r) b)) (cos.f64 (+.f64 a b)))

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
76.5%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
61.7%	1	`r`
61.7%	1	`a`
61.7%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
61.7%	1	`b`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes41.0ms (0.4%)

Memory

-23.8MiB live, 21.0MiB allocated; 4ms collecting garbage

Accuracy

Total -1.4b remaining (-3.2%)

Threshold costs -1.4b (-3.2%)

Counts

7 → 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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) #s(approx (* (sin b) (/ r (cos b))) (.f64 (fma.f64 (.f64 r #s(literal 1/3 binary64)) (*.f64 b b) r) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 r (/.f64 b #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
#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) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (.f64 b r) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
#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)))) (.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:

30.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
2.0ms	b
2.0ms	a
2.0ms	r

Results

Accuracy	Segments	Branch
29.3%	1	`a`
29.3%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
29.3%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
29.3%	1	`b`
29.3%	1	`r`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch87.0ms (1%)

Memory

24.1MiB live, 66.1MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	396342.44804220623	347861523.78222895
59.0ms	-1.6873073000360493e+44	-1.2844271586304132e+42

Samples

70.0ms	200×	1	valid
4.0ms	40×	0	valid

Compiler

Compiled 522 to 434 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

adjust: 42.0ms (64.5% of total)

ival-cos: 9.0ms (13.8% of total)

ival-sin: 6.0ms (9.2% of total)

ival-add: 3.0ms (4.6% of total)

ival-mult: 3.0ms (4.6% of total)

ival-div: 2.0ms (3.1% of total)

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

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

bsearch2.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	396342.44804220623	347861523.78222895
1.0ms	-1.6873073000360493e+44	-1.2844271586304132e+42

Compiler

Compiled 522 to 434 computations (16.9% saved)

bsearch69.0ms (0.8%)

Memory

-27.9MiB live, 26.9MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3726.5348399687214	419393.5159274148
46.0ms	-554.052860180147	-0.2679945000916397

Samples

40.0ms	145×	0	valid
15.0ms	95×	1	valid

Compiler

Compiled 717 to 524 computations (26.9% saved)

Precisions

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

ival-sin: 33.0ms (68.3% of total)

ival-cos: 7.0ms (14.5% of total)

ival-add: 2.0ms (4.1% of total)

ival-div: 2.0ms (4.1% of total)

adjust: 2.0ms (4.1% of total)

ival-mult: 2.0ms (4.1% of total)

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

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

bsearch21.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3726.5348399687214	419393.5159274148
18.0ms	-9.223709273505475e-5	-3.114753627829159e-9

Samples

8.0ms	55×	1	valid
5.0ms	73×	0	valid

Compiler

Compiled 582 to 464 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 3.0ms (34% of total)

ival-add: 1.0ms (11.3% of total)

ival-div: 1.0ms (11.3% of total)

adjust: 1.0ms (11.3% of total)

ival-mult: 1.0ms (11.3% of total)

ival-sin: 1.0ms (11.3% of total)

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

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

simplify85.0ms (0.9%)

Memory

0.7MiB live, 44.4MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	362
1	137	354
2	205	354
3	351	354
4	702	354
5	1728	354
6	4404	354

Stop Event

1×	node 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)))))
#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 a) (cos.f64 b)) (*.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 -1299999999999999950031673044027917767540736 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 400000 binary64)) #s(approx ( r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 r (tan.f64 b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -1299999999999999950031673044027917767540736 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 400000 binary64)) #s(approx ( r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 r (tan.f64 b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 b #s(literal -607985949695017/2251799813685248 binary64)) #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3800 binary64)) (/.f64 #s(approx ( (sin b) r) (.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)) (cos.f64 (+.f64 a b))) #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))))
(if (<=.f64 b #s(literal -8264141345021879/2361183241434822606848 binary64)) #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3800 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 a)) b)) #s(approx ( r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

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)))))
#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 a) (cos.f64 b)) (*.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 -1299999999999999950031673044027917767540736 binary64)) (/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 400000 binary64)) #s(approx ( r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 r (tan.f64 b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -1299999999999999950031673044027917767540736 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 400000 binary64)) #s(approx ( r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 r (tan.f64 b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (or (<=.f64 a #s(literal -1299999999999999950031673044027917767540736 binary64)) (not (<=.f64 a #s(literal 400000 binary64)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) #s(approx ( r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -607985949695017/2251799813685248 binary64)) #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3800 binary64)) (/.f64 #s(approx ( (sin b) r) (.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)) (cos.f64 (+.f64 a b))) #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))))
(if (or (<=.f64 b #s(literal -607985949695017/2251799813685248 binary64)) (not (<=.f64 b #s(literal 3800 binary64)))) #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 r (tan.f64 b))) (/.f64 #s(approx ( (sin b) r) (.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)) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -8264141345021879/2361183241434822606848 binary64)) #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 r (tan.f64 b))) (if (<=.f64 b #s(literal 3800 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 a)) b)) #s(approx ( r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))))
(if (or (<=.f64 b #s(literal -8264141345021879/2361183241434822606848 binary64)) (not (<=.f64 b #s(literal 3800 binary64)))) #s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (.f64 r (tan.f64 b))) #s(approx ( r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 r (tan.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

derivations977.0ms (10.8%)

Memory

6.1MiB live, 779.8MiB allocated; 84ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	326
0	89	281
1	314	278
2	2015	262
0	8290	260
0	468	2433
1	1608	2262
2	6406	2006
0	8243	1883
0	57	276
0	93	283
1	327	237
2	2168	237
0	8138	237
0	564	2780
1	1944	2648
2	7407	2626
0	8126	2495
0	8	22
0	13	22
1	46	22
2	268	22
3	2877	22
0	8306	22
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
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 362 to 87 computations (76% saved)

preprocess62.0ms (0.7%)

Memory: 13.1MiB live, 106.1MiB allocated; 5ms collecting garbage
Remove: (negabs r)
Compiler: Compiled 878 to 282 computations (67.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze325.0ms (3.6%)

sample1.9s (20.8%)

explain138.0ms (1.5%)

preprocess124.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify76.0ms (0.8%)

localize57.0ms (0.6%)

series22.0ms (0.2%)

simplify179.0ms (2%)

rewrite478.0ms (5.3%)

eval33.0ms (0.4%)

prune27.0ms (0.3%)

simplify120.0ms (1.3%)

localize283.0ms (3.1%)

series118.0ms (1.3%)

simplify223.0ms (2.5%)

rewrite203.0ms (2.2%)

eval108.0ms (1.2%)

prune46.0ms (0.5%)

simplify277.0ms (3%)

localize528.0ms (5.8%)

series55.0ms (0.6%)

simplify168.0ms (1.8%)

rewrite251.0ms (2.8%)

eval78.0ms (0.9%)

prune68.0ms (0.7%)

simplify122.0ms (1.3%)

localize378.0ms (4.2%)

series58.0ms (0.6%)

simplify206.0ms (2.3%)

rewrite226.0ms (2.5%)

eval125.0ms (1.4%)

prune91.0ms (1%)

regimes120.0ms (1.3%)

regimes108.0ms (1.2%)

regimes122.0ms (1.3%)

regimes106.0ms (1.2%)

regimes66.0ms (0.7%)

regimes38.0ms (0.4%)

regimes62.0ms (0.7%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes12.0ms (0.1%)

regimes41.0ms (0.4%)

bsearch87.0ms (1%)

bsearch2.0ms (0%)

bsearch69.0ms (0.8%)

bsearch21.0ms (0.2%)

simplify85.0ms (0.9%)

derivations977.0ms (10.8%)

preprocess62.0ms (0.7%)

end0.0ms (0%)

Profiling