Metrics for rsin B (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze277.0ms (3.2%)

Memory

38.6MiB live, 323.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (20.4%)

Memory

23.1MiB live, 1 653.3MiB allocated

Samples

1.2s	5 831×	1	valid
224.0ms	2 425×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 885.0ms

ival-cos: 289.0ms (32.7% of total)

ival-sin: 210.0ms (23.7% of total)

adjust: 122.0ms (13.8% of total)

ival-mult: 98.0ms (11.1% of total)

ival-add: 90.0ms (10.2% of total)

ival-div: 67.0ms (7.6% of total)

ival-true: 6.0ms (0.7% of total)

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

Bogosity

explain149.0ms (1.7%)

Memory

2.6MiB live, 188.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
67	122	(1.649138472908423e-222 -2.277049207197227e-235 -6.083049090215248e+146)	-	`(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	189	1

Confusion

	Predicted +	Predicted -
+	67	0
-	122	67

Precision

0.3544973544973545

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	0
-	122	1	66

Precision?

0.3526315789473684

Recall?

1.0

Freqs

test

number	freq
0	67
1	189

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	358×	1	valid
11.0ms	154×	0	valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-cos: 17.0ms (32.9% of total)

ival-sin: 12.0ms (23.2% of total)

adjust: 6.0ms (11.6% of total)

ival-mult: 6.0ms (11.6% of total)

ival-add: 5.0ms (9.7% of total)

ival-div: 4.0ms (7.7% of total)

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

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

preprocess136.0ms (1.6%)

Memory

1.6MiB live, 142.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify150.0ms (1.7%)

Memory

12.5MiB live, 170.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize53.0ms (0.6%)

Memory

-35.0MiB live, 59.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 b)
accuracy	0.171875	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy	0.2421875	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	14.350684687760008	(cos.f64 (+.f64 a b))

Samples

36.0ms	179×	1	valid
6.0ms	77×	0	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-add: 8.0ms (26% of total)

ival-cos: 8.0ms (26% of total)

ival-sin: 6.0ms (19.5% of total)

adjust: 3.0ms (9.7% of total)

ival-mult: 3.0ms (9.7% of total)

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

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

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

series17.0ms (0.2%)

Memory

31.2MiB live, 31.2MiB allocated

Counts

4 → 38

Calls

Call 1

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

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

Calls

9 calls:

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

simplify150.0ms (1.7%)

Memory

15.6MiB live, 158.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

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

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

rewrite183.0ms (2.1%)

Memory

-12.8MiB live, 169.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 185

Calls

Call 1

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

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

eval33.0ms (0.4%)

Memory: 9.5MiB live, 53.7MiB allocated
Compiler: Compiled 5 380 to 1 052 computations (80.4% saved)

prune29.0ms (0.3%)

Memory

3.3MiB live, 49.3MiB allocated

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	188	28	216
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	189	28	217

Accuracy

99.8%

Counts

217 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.4%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	79.5%	(.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))))
	77.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	34.6%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
	9.3%	(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
▶	9.4%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
	51.1%	(.f64 r (/.f64 (sin.f64 b) (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))))))))
▶	99.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
▶	99.4%	(.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))))))))
	62.4%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (cos.f64 (.f64 b (/.f64 b (-.f64 a b))))) (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))))
	39.7%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
	38.2%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
	60.6%	(.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)))))
	60.7%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))))
▶	49.9%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
	61.6%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
	52.3%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	48.4%	(*.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))))
	77.3%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
	55.9%	(.f64 r #s(approx (/ (sin b) (cos (+ a 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)))))
	60.2%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b))))
	48.0%	(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
	47.9%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.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)))
	47.6%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
	59.7%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (neg.f64 a) (.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)))
▶	48.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	61.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))

Compiler

Compiled 1 338 to 836 computations (37.5% saved)

simplify99.0ms (1.1%)

Memory

7.8MiB live, 111.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	260
0	65	257
1	123	255
2	214	251
3	420	251
4	902	251
5	2236	251
6	4786	251
0	8029	251

Stop Event

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

Calls

Call 1

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

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

localize264.0ms (3%)

Memory

-26.1MiB live, 255.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.14282125946961358	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.171875	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
accuracy	0.2421875	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
accuracy	0.06640625	(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))
accuracy	0.171875	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
accuracy	0.2421875	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
accuracy	32.45065502506642	#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))
accuracy	0.171875	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
accuracy	0.2421875	(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))
accuracy	14.350684687760008	(cos.f64 (+.f64 a b))
accuracy	59.69391442451567	(sin.f64 (neg.f64 (+.f64 (PI.f64) b)))
accuracy	0.00390625	(cos.f64 a)
accuracy	0.08984375	(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy	0.11328125	(/.f64 r (cos.f64 a))
accuracy	33.22818254484147	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy	0.1152025511575378	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
accuracy	0.171875	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
accuracy	0.23828125	(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
accuracy	0.2421875	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))

Samples

183.0ms	202×	1	valid
48.0ms	45×	2	valid
3.0ms	9×	0	valid

Compiler

Compiled 238 to 33 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-mult: 62.0ms (33.7% of total)

ival-sin: 49.0ms (26.7% of total)

ival-cos: 27.0ms (14.7% of total)

adjust: 16.0ms (8.7% of total)

ival-div: 13.0ms (7.1% of total)

ival-add: 10.0ms (5.4% of total)

ival-neg: 4.0ms (2.2% of total)

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

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

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

series78.0ms (0.9%)

Memory

1.2MiB live, 95.2MiB allocated

Counts

22 → 112

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	b	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (* (neg (sin a)) b) (cos a)) (* (cos b) (cos a)))
16.0ms	a	@	0	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (* (neg (sin a)) b) (cos a)) (* (cos b) (cos a)))
6.0ms	a	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (* (neg (sin a)) b) (cos a)) (* (cos b) (cos a)))
6.0ms	a	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (* (neg (sin a)) b) (cos a)) (* (cos b) (cos a)))
6.0ms	b	@	0	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (* (neg (sin a)) b) (cos a)) (* (cos b) (cos a)))

simplify175.0ms (2%)

Memory

5.8MiB live, 229.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	557	2419
1	1912	2156
2	7647	2100
0	8432	1969

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

Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ (* r (sin (neg (+ b (PI))))) (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 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 a) (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b)))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(/.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)))
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(+.f64 #s(literal 0 binary64) b)
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* -1/2 (* b (sin (neg (PI))))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) b #s(literal 1 binary64)) b #s(literal 0 binary64))
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* b (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* b (cos (neg (PI))))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))
(/ (* r (sin (neg (PI)))) (cos a))
(*.f64 #s(literal 0 binary64) (/.f64 r (cos.f64 a)))
(+ (* b (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1 binary64) r (/.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) r) (cos.f64 a))) (cos.f64 a)) b (*.f64 #s(literal 0 binary64) (/.f64 r (cos.f64 a))))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(fma.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) r) (cos.f64 a)) (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) r (/.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) r) (cos.f64 a))) (cos.f64 a)) (sin.f64 a)) b (.f64 #s(literal 1 binary64) r))) (cos.f64 a)) b (*.f64 #s(literal 0 binary64) (/.f64 r (cos.f64 a))))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (neg (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a))) (fma.f64 #s(literal 1/2 binary64) (.f64 r (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a))) (cos.f64 a))) (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) r (.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1 binary64) r (/.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) r) (cos.f64 a))) (cos.f64 a)))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) r (/.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) r) (cos.f64 a))) (cos.f64 a)) (/.f64 (sin.f64 a) (cos.f64 a)))) b (/.f64 (fma.f64 #s(literal 1 binary64) r (/.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) r) (cos.f64 a))) (cos.f64 a))) b (*.f64 #s(literal 0 binary64) (/.f64 r (cos.f64 a))))
(/ (sin (neg (PI))) (cos a))
(/.f64 #s(literal 0 binary64) (cos.f64 a))
(+ (* b (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (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 (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(fma.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) (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)) (*.f64 (sin.f64 a) b) #s(literal 1 binary64))) (cos.f64 a)) b (/.f64 #s(literal 0 binary64) (cos.f64 a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (neg (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(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) (.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 0 binary64) (sin.f64 a)) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)))) (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)))
(* -1 (PI))
(neg.f64 (PI.f64))
(- (* -1 b) (PI))
(neg.f64 (+.f64 (PI.f64) b))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a))
(* -1 (* b (sin a)))
(*.f64 (neg.f64 b) (sin.f64 a))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(.f64 (fma.f64 (.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (.f64 b b) #s(literal 1/6 binary64))) (.f64 b b) (neg.f64 (sin.f64 a))) b)
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (.f64 b b) #s(literal -1/120 binary64))) (.f64 b b) (.f64 #s(literal 1/6 binary64) (sin.f64 a))) (.f64 b b) (neg.f64 (sin.f64 a))) b)
(+ (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))))
(sin.f64 b)
(* -1 b)
(neg.f64 b)
(* b (- (* -1 (/ (PI) b)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) #s(literal 1 binary64)) b)
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(*.f64 (fma.f64 (sin.f64 a) #s(literal -1 binary64) (/.f64 (cos.f64 a) b)) b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(sin (- (* -1 b) (PI)))
(sin.f64 b)
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(* -1 (* b (+ 1 (/ (PI) b))))
(neg.f64 (fma.f64 (/.f64 (PI.f64) b) b b))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(*.f64 (neg.f64 b) (-.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)))

rewrite596.0ms (6.9%)

Memory

-22.0MiB live, 251.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	209
0	65	161
1	224	160
2	1464	160
0	9086	160

Stop Event

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

Counts

22 → 653

Calls

Call 1

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

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

eval104.0ms (1.2%)

Memory: 14.8MiB live, 173.5MiB allocated
Compiler: Compiled 14 566 to 2 674 computations (81.6% saved)

prune79.0ms (0.9%)

Memory

-3.5MiB live, 98.8MiB allocated

Pruning

48 alts after pruning (43 fresh and 5 done)

	Pruned	Kept	Total
New	491	32	523
Fresh	12	11	23
Picked	0	5	5
Done	0	0	0
Total	503	48	551

Accuracy

99.9%

Counts

551 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.4%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	79.5%	(.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))))
	77.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	77.3%	(.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))))
	7.3%	(.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (neg.f64 (fma.f64 b (-.f64 b (PI.f64)) (.f64 (PI.f64) (PI.f64)))))) (cos.f64 (+.f64 a b))))
▶	34.6%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
	9.3%	(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
✓	9.4%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
	13.9%	(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
	51.1%	(.f64 r (/.f64 (sin.f64 b) (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))))))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 2 binary64)))))
✓	99.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
	60.6%	(.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 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))))
	63.5%	(.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))))))
▶	49.1%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
✓	99.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
	53.1%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
	68.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
	78.5%	(.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 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 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 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 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))))))))
	62.4%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (cos.f64 (.f64 b (/.f64 b (-.f64 a b))))) (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))))
	39.7%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
	38.2%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
	60.7%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	61.6%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))))
✓	49.9%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
	52.3%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
▶	33.7%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
	49.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (*.f64 (neg.f64 b) (-.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)))))))
	11.1%	(*.f64 r (/.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (+.f64 a b))))
	48.4%	(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
	47.8%	(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
	77.3%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
	13.1%	(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
	48.0%	(.f64 r #s(approx (/ (sin b) (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
	47.9%	(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.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)))
	61.6%	#s(approx (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
▶	99.4%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
	48.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
	33.4%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
	33.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
✓	48.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	31.9%	#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))
	31.8%	#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))
	32.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
	27.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
	27.3%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
▶	32.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 337 to 1 510 computations (35.4% saved)

simplify109.0ms (1.3%)

Memory

-16.9MiB live, 116.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
cost-diff	0	(/.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	#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a 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) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.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	379
0	93	372
1	169	366
2	293	362
3	580	362
4	1346	362
5	3297	362
6	6584	362
0	8139	361

Stop Event

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

Calls

Call 1

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

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

localize433.0ms (5%)

Memory

-2.4MiB live, 334.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.14282125946961358	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))
accuracy	0.171875	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
accuracy	0.2421875	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))
accuracy	33.114248902460375	#s(approx (* (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))
accuracy	0.171875	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
accuracy	0.2421875	(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b)))
accuracy	14.350684687760008	(cos.f64 (+.f64 a b))
accuracy	28.951694322154204	(sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)))
accuracy	0.171875	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
accuracy	0.2421875	(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
accuracy	27.72088295692975	#s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))
accuracy	32.45065502506642	#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))
accuracy	0.0	(*.f64 b r)
accuracy	22.10333030234718	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy	33.22818254484147	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy	0.078125	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.1015625	(*.f64 (sin.f64 b) r)
accuracy	0.14282125946961358	(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.26009750976844204	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

244.0ms	202×	1	valid
99.0ms	45×	2	valid
46.0ms	9×	0	valid

Compiler

Compiled 265 to 45 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 350.0ms

ival-cos: 164.0ms (46.8% of total)

ival-mult: 76.0ms (21.7% of total)

ival-sin: 46.0ms (13.1% of total)

adjust: 23.0ms (6.6% of total)

ival-add: 21.0ms (6% of total)

ival-div: 15.0ms (4.3% of total)

ival-pi: 2.0ms (0.6% of total)

ival-sub: 2.0ms (0.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.5%)

Memory

11.8MiB live, 57.5MiB allocated

Counts

22 → 99

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (* (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 (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (PI) b) (PI))) (+ (+ (PI) b) (PI)) (* r (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b)))) (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) b) (cos a)) (cos (+ a b)) (* (cos b) (cos a)))
5.0ms	r	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (* (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 (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (PI) b) (PI))) (+ (+ (PI) b) (PI)) (* r (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b)))) (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) b) (cos a)) (cos (+ a b)) (* (cos b) (cos a)))
5.0ms	b	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (* (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 (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (PI) b) (PI))) (+ (+ (PI) b) (PI)) (* r (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b)))) (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) b) (cos a)) (cos (+ a b)) (* (cos b) (cos a)))
5.0ms	r	@	0	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (* (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 (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (PI) b) (PI))) (+ (+ (PI) b) (PI)) (* r (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b)))) (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) b) (cos a)) (cos (+ a b)) (* (cos b) (cos a)))
5.0ms	b	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (* (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 (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (sin (+ (+ (PI) b) (PI))) (+ (+ (PI) b) (PI)) (* r (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b)))) (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) b) (cos a)) (cos (+ a b)) (* (cos b) (cos a)))

simplify251.0ms (2.9%)

Memory

16.5MiB live, 163.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	497	2463
1	1694	2285
2	6614	1974
0	8939	1863

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 98

Calls

Call 1

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

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

rewrite227.0ms (2.6%)

Memory

-2.7MiB live, 222.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	309
0	93	274
1	321	266
2	2126	266
0	8121	266

Stop Event

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

Counts

22 → 345

Calls

Call 1

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

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

eval107.0ms (1.2%)

Memory: -23.9MiB live, 168.6MiB allocated
Compiler: Compiled 12 494 to 1 683 computations (86.5% saved)

prune106.0ms (1.2%)

Memory

11.7MiB live, 114.7MiB allocated

Pruning

62 alts after pruning (53 fresh and 9 done)

	Pruned	Kept	Total
New	330	23	353
Fresh	8	30	38
Picked	1	4	5
Done	0	5	5
Total	339	62	401

Accuracy

99.9%

Counts

401 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.4%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	33.7%	(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	79.5%	(.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))))
	77.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	33.7%	(.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
	35.0%	(.f64 r (/.f64 (fma.f64 (sin.f64 (+.f64 (PI.f64) (PI.f64))) (cos.f64 b) (.f64 (cos.f64 (+.f64 (PI.f64) (PI.f64))) (sin.f64 b))) (cos.f64 (+.f64 a b))))
	16.7%	(.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))))
	7.3%	(.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (neg.f64 (fma.f64 b (-.f64 b (PI.f64)) (.f64 (PI.f64) (PI.f64)))))) (cos.f64 (+.f64 a b))))
▶	34.4%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b))))
✓	34.6%	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
	9.3%	(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
	9.2%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)))) (cos.f64 (+.f64 a b))))
✓	9.4%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
	13.9%	(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
	51.1%	(.f64 r (/.f64 (sin.f64 b) (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))))))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 2 binary64)))))
✓	99.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
▶	60.6%	(.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 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))))
	63.5%	(.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))))))
✓	49.1%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
✓	99.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
	53.1%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
	68.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
	48.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) 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))))))
	78.5%	(.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 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 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 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 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))))
	39.7%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
	38.2%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
	60.7%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
	61.6%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))))
✓	49.9%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
	52.3%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	49.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b)))))
	4.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
	37.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
	11.1%	(*.f64 r (/.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (+.f64 a b))))
	48.4%	(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
	47.8%	(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
	31.6%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
	31.5%	(.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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
▶	31.8%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
	77.3%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
	13.1%	(*.f64 r #s(approx (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
	48.0%	(.f64 r #s(approx (/ (sin b) (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
	61.6%	#s(approx (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
✓	99.4%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
	60.7%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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))))))
▶	99.5%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
	99.2%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (/.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))))))))
	39.7%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))))
	48.1%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 #s(approx (* (sin b) r) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (.f64 r (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64))) (.f64 b b) (.f64 #s(literal -1/6 binary64) r)) (.f64 b r))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
	48.2%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
	48.8%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
	48.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
	33.4%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
	33.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
✓	48.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	31.9%	#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))
	31.8%	#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))
	32.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
	27.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
▶	27.3%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
✓	32.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 3 150 to 2 107 computations (33.1% saved)

simplify118.0ms (1.4%)

Memory

-27.3MiB live, 132.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))))
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	2	(+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)) (PI.f64))
cost-diff	3	(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)) (PI.f64)))
cost-diff	0	(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
cost-diff	0	#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
cost-diff	0	(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
cost-diff	0	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
cost-diff	0	(fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)
cost-diff	0	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
cost-diff	0	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
cost-diff	0	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 (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) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.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	67	465
0	111	455
1	204	449
2	399	437
3	941	431
4	1996	431
5	3964	431
6	7295	431
0	8089	428

Stop Event

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

Calls

Call 1

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

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

localize326.0ms (3.8%)

Memory

29.1MiB live, 352.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14282125946961358	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))
accuracy	0.171875	(.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 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))))
accuracy	0.2421875	(/.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 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
accuracy	28.023440062518407	#s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))
accuracy	0.171875	(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b))))
accuracy	0.2421875	(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b)))
accuracy	14.350684687760008	(cos.f64 (+.f64 a b))
accuracy	29.183578014718265	(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)) (PI.f64)) (PI.f64)))
accuracy	0.2421875	(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
accuracy	27.72088295692975	#s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))
accuracy	32.45065502506642	#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))
accuracy	33.0744522884848	#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
accuracy	0.08984375	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
accuracy	7.506997528182028	(.f64 (.f64 a a) r)
accuracy	27.99351182292327	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
accuracy	33.22818254484147	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
accuracy	0.1015625	(*.f64 (sin.f64 b) r)
accuracy	0.1152025511575378	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
accuracy	0.23828125	(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
accuracy	0.26009750976844204	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))

Samples

200.0ms	201×	1	valid
61.0ms	46×	2	valid
4.0ms	9×	0	valid

Compiler

Compiled 318 to 54 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-sin: 48.0ms (21.9% of total)

ival-mult: 37.0ms (16.9% of total)

ival-add: 33.0ms (15.1% of total)

adjust: 30.0ms (13.7% of total)

ival-cos: 25.0ms (11.4% of total)

ival-div: 15.0ms (6.8% of total)

ival-sub: 9.0ms (4.1% of total)

const: 8.0ms (3.7% of total)

ival-pow: 6.0ms (2.7% of total)

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

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

exact: 1.0ms (0.5% of total)

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

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

series70.0ms (0.8%)

Memory

-28.5MiB live, 70.2MiB allocated

Counts

28 → 124

Calls

Call 1

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

Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ r (cos a))
(* r (+ 1 (* 1/2 (pow a 2))))
(* (pow a 2) r)
(/ (* r (sin (+ b (* 4 (PI))))) (cos (+ a b)))
(* -1 (* r (- (* -1/2 (pow a 2)) 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)))
(* 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))))
(/ (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))))))))
(* -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) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* a (+ (* -1 b) (* -1/2 a))))
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))
(/ (sin (+ b (* 4 (PI)))) (cos b))
(+ (/ (sin (+ b (* 4 (PI)))) (cos b)) (/ (* a (* (sin b) (sin (+ b (* 4 (PI)))))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (+ b (* 4 (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (+ b (* 4 (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (+ b (* 4 (PI))))) (pow (cos b) 2))))) (/ (sin (+ b (* 4 (PI)))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (+ b (* 4 (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (+ b (* 4 (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (+ b (* 4 (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (+ b (* 4 (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (+ b (* 4 (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (+ b (* 4 (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (+ b (* 4 (PI))))) (pow (cos b) 2))))) (/ (sin (+ b (* 4 (PI)))) (cos b)))
(/ (* r (sin (+ b (* 4 (PI))))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (+ b (* 4 (PI))))))) (pow (cos b) 2)) (/ (* r (sin (+ b (* 4 (PI))))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (+ b (* 4 (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (+ b (* 4 (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (+ b (* 4 (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (+ b (* 4 (PI))))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (+ b (* 4 (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (+ b (* 4 (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (+ b (* 4 (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (+ b (* 4 (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (+ b (* 4 (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (+ b (* 4 (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (+ b (* 4 (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (+ b (* 4 (PI))))) (cos b)))
(+ 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)))
(* 1/2 (* (pow a 2) r))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* -1 (* (sin a) (sin b)))
(cos (+ a b))
(+ (cos a) (* -1 (* b (sin a))))
(/ (sin (+ b (* 4 (PI)))) (cos (+ a b)))
(cos a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(/ (sin (+ b (* 4 (PI)))) (cos (- b (* -1 a))))
(/ (* r (sin (+ b (* 4 (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 (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(sin (* 4 (PI)))
(+ (sin (* 4 (PI))) (* b (cos (* 4 (PI)))))
(+ (sin (* 4 (PI))) (* b (+ (cos (* 4 (PI))) (* -1/2 (* b (sin (* 4 (PI))))))))
(+ (sin (* 4 (PI))) (* b (+ (cos (* 4 (PI))) (* b (+ (* -1/2 (sin (* 4 (PI)))) (* -1/6 (* b (cos (* 4 (PI))))))))))
(* 4 (PI))
(+ b (* 4 (PI)))
(+ (PI) (* 2 (PI)))
(+ b (+ (PI) (* 2 (PI))))
(* 2 (PI))
(+ b (* 2 (PI)))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(* -1 (* 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) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(/ (sin (* 4 (PI))) (cos a))
(+ (* b (- (/ (cos (* 4 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 4 (PI)))) (pow (cos a) 2))))) (/ (sin (* 4 (PI))) (cos a)))
(+ (* b (- (+ (/ (cos (* 4 (PI))) (cos a)) (/ (* b (* (sin a) (- (/ (cos (* 4 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 4 (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (* 4 (PI)))) (pow (cos a) 2))))) (/ (sin (* 4 (PI))) (cos a)))
(+ (* b (- (+ (* b (- (* b (- (* -1/6 (/ (cos (* 4 (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (/ (cos (* 4 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 4 (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (/ (cos (* 4 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 4 (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (* 4 (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (/ (cos (* 4 (PI))) (cos a)) (* -1 (/ (* (sin a) (sin (* 4 (PI)))) (pow (cos a) 2))))) (cos a))))) (/ (cos (* 4 (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (* 4 (PI)))) (pow (cos a) 2))))) (/ (sin (* 4 (PI))) (cos a)))
(/ (* r (sin (* 4 (PI)))) (cos a))
(+ (* b (- (/ (* r (cos (* 4 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 4 (PI))))) (pow (cos a) 2))))) (/ (* r (sin (* 4 (PI)))) (cos a)))
(+ (* b (- (+ (/ (* b (* (sin a) (- (/ (* r (cos (* 4 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 4 (PI))))) (pow (cos a) 2)))))) (cos a)) (/ (* r (cos (* 4 (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (* 4 (PI))))) (pow (cos a) 2))))) (/ (* r (sin (* 4 (PI)))) (cos a)))
(+ (* b (- (+ (* b (- (* b (- (* -1/6 (/ (* r (cos (* 4 (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (/ (* r (cos (* 4 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 4 (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (/ (* r (cos (* 4 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 4 (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (* 4 (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (/ (* r (cos (* 4 (PI)))) (cos a)) (* -1 (/ (* r (* (sin a) (sin (* 4 (PI))))) (pow (cos a) 2))))) (cos a))))) (/ (* r (cos (* 4 (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (* 4 (PI))))) (pow (cos a) 2))))) (/ (* r (sin (* 4 (PI)))) (cos a)))
(sin b)
(* -1/6 (pow b 3))
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6))
(sin (+ b (* 4 (PI))))
(* b (+ 1 (* 4 (/ (PI) b))))
(* b (+ 1 (+ (* 2 (/ (PI) b)) (/ (PI) b))))
(* b (+ 1 (* 2 (/ (PI) b))))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(sin (- (* 4 (PI)) (* -1 b)))
(* -1 (* b (- (* -4 (/ (PI) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ (PI) (* 2 (PI))) b)) 1)))
(* -1 (* b (- (* -2 (/ (PI) b)) 1)))
(cos (- a (* -1 b)))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(/ (sin (- (* 4 (PI)) (* -1 b))) (cos (- a (* -1 b))))
(/ (* r (sin (- (* 4 (PI)) (* -1 b)))) (cos (- a (* -1 b))))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	r	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (* (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)) (+ (* (* (* a a) r) 1/2) r) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI)) (+ (+ (+ (PI) b) (PI)) (PI)) (+ (+ (PI) b) (PI)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (* a a) r) (cos (+ a b)) (+ (* (neg (sin a)) b) (cos a)) (cos (+ a b)) (/ (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (cos (+ a b))) (* r (/ (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (cos (+ a b)))) (cos a))
7.0ms	r	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (* (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)) (+ (* (* (* a a) r) 1/2) r) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI)) (+ (+ (+ (PI) b) (PI)) (PI)) (+ (+ (PI) b) (PI)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (* a a) r) (cos (+ a b)) (+ (* (neg (sin a)) b) (cos a)) (cos (+ a b)) (/ (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (cos (+ a b))) (* r (/ (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (cos (+ a b)))) (cos a))
6.0ms	r	@	0	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (* (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)) (+ (* (* (* a a) r) 1/2) r) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI)) (+ (+ (+ (PI) b) (PI)) (PI)) (+ (+ (PI) b) (PI)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (* a a) r) (cos (+ a b)) (+ (* (neg (sin a)) b) (cos a)) (cos (+ a b)) (/ (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (cos (+ a b))) (* r (/ (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (cos (+ a b)))) (cos a))
5.0ms	a	@	inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (* (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)) (+ (* (* (* a a) r) 1/2) r) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI)) (+ (+ (+ (PI) b) (PI)) (PI)) (+ (+ (PI) b) (PI)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (* a a) r) (cos (+ a b)) (+ (* (neg (sin a)) b) (cos a)) (cos (+ a b)) (/ (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (cos (+ a b))) (* r (/ (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (cos (+ a b)))) (cos a))
5.0ms	a	@	-inf	((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (* (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)) (+ (* (* (* a a) r) 1/2) r) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI)) (+ (+ (+ (PI) b) (PI)) (PI)) (+ (+ (PI) b) (PI)) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (* a a) r) (cos (+ a b)) (+ (* (neg (sin a)) b) (cos a)) (cos (+ a b)) (/ (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (cos (+ a b))) (* r (/ (sin (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI))) (cos (+ a b)))) (cos a))

simplify177.0ms (2%)

Memory

32.9MiB live, 262.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	582	2724
1	1971	2580
2	7378	2530
0	8063	2355

Stop Event

1×	iter limit
1×	node limit

Counts

124 → 122

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

rewrite256.0ms (2.9%)

Memory

0.0MiB live, 344.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	384
0	111	353
1	393	346
2	2773	340
0	8720	336

Stop Event

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

Counts

28 → 463

Calls

Call 1

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

Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.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 (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 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) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (.f64 #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)) b))
(.f64 #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)) b)
(.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)))
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) r))
(/.f64 (-.f64 (.f64 r r) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) #s(literal 2 binary64))) (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 r) r))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) r)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 r (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 r) r)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) r))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 r r (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r)) r))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 r (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 a r) r)
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) r r)
(fma.f64 (.f64 #s(literal 1/2 binary64) r) (.f64 a a) r)
(fma.f64 (fabs.f64 a) (.f64 (fabs.f64 a) (.f64 #s(literal 1/2 binary64) r)) r)
(fma.f64 (neg.f64 a) (.f64 (neg.f64 a) (.f64 #s(literal 1/2 binary64) r)) r)
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) r)
(fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)
(fma.f64 (.f64 a a) (.f64 #s(literal 1/2 binary64) r) r)
(fma.f64 a (.f64 (.f64 a r) #s(literal 1/2 binary64)) r)
(fma.f64 a (.f64 a (.f64 #s(literal 1/2 binary64) r)) r)
(fma.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64)) r)
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) r)) (/.f64 (.f64 r r) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) r)))
(-.f64 r (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 a a) r)))
(-.f64 r (.f64 (neg.f64 (.f64 (*.f64 a a) r)) #s(literal 1/2 binary64)))
(-.f64 r (.f64 (neg.f64 (.f64 a a)) (*.f64 #s(literal 1/2 binary64) r)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 r (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r)))))) (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 r (-.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r)) r)
(+.f64 r (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r)))
(.f64 (/.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) r)
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(/.f64 (.f64 (neg.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) r) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
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(/.f64 (neg.f64 (.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) r)) (neg.f64 #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
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(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))
(sin.f64 (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(-.f64 (.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (.f64 b (-.f64 b a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (.f64 b (-.f64 b a)))))) (.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (.f64 b (-.f64 b a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (.f64 b (-.f64 b a)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(-.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a)))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 a b)))))
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a))))
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b)))
(cos.f64 (-.f64 (neg.f64 b) (neg.f64 (neg.f64 a))))
(cos.f64 (+.f64 b (neg.f64 (neg.f64 a))))
(cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 b)))
(cos.f64 (+.f64 (neg.f64 (neg.f64 a)) b))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))
(cos.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (.f64 b b) (-.f64 a b)))) (.f64 (sin.f64 (/.f64 (.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (.f64 b b) (-.f64 a b)))))
(+.f64 (.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(+.f64 (/.f64 (pow.f64 (.f64 (cos.f64 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 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (.f64 (cos.f64 b) (cos.f64 a)))
(.f64 (/.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(.f64 (/.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 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 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) (neg.f64 (cos.f64 (+.f64 a b)))))
(neg.f64 (/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (cos.f64 (+.f64 a b))))
(+.f64 (/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) (cos.f64 (+.f64 a b))) (/.f64 (.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (neg.f64 (cos.f64 b))))) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 (.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) r) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(.f64 (/.f64 (.f64 (neg.f64 (neg.f64 (neg.f64 (neg.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 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (neg.f64 (cos.f64 (+.f64 a b)))) r)
(*.f64 r (/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) r) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) r) (cos.f64 (+.f64 a b)))
#s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))

eval124.0ms (1.4%)

Memory: -21.6MiB live, 119.6MiB allocated
Compiler: Compiled 18 063 to 2 794 computations (84.5% saved)

prune75.0ms (0.9%)

Memory

25.2MiB live, 159.2MiB allocated

Pruning

64 alts after pruning (53 fresh and 11 done)

	Pruned	Kept	Total
New	510	10	520
Fresh	5	43	48
Picked	2	3	5
Done	1	8	9
Total	518	64	582

Accuracy

99.9%

Counts

582 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.4%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	33.7%	(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	79.5%	(.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))))
	77.3%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	33.7%	(.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
	35.0%	(.f64 r (/.f64 (fma.f64 (sin.f64 (+.f64 (PI.f64) (PI.f64))) (cos.f64 b) (.f64 (cos.f64 (+.f64 (PI.f64) (PI.f64))) (sin.f64 b))) (cos.f64 (+.f64 a b))))
	16.7%	(.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))))
	7.3%	(.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (neg.f64 (fma.f64 b (-.f64 b (PI.f64)) (.f64 (PI.f64) (PI.f64)))))) (cos.f64 (+.f64 a b))))
	9.3%	(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
✓	9.4%	(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
	34.6%	(*.f64 r (/.f64 (sin.f64 #s(approx (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) b))) (cos.f64 (+.f64 a b))))
	13.9%	(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
	51.1%	(.f64 r (/.f64 (sin.f64 b) (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))))))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 2 binary64)))))
✓	99.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))))
✓	60.6%	(.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 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))))
	63.5%	(.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))))))
✓	49.1%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
✓	99.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
	53.1%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
	48.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) 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))))))
	78.5%	(.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 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 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 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 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))))
	39.7%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
	38.2%	(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
	60.7%	(.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)))))
	61.6%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
✓	49.9%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
	52.3%	(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
	49.8%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b)))))
	4.4%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
	37.0%	(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
	11.1%	(*.f64 r (/.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (+.f64 a b))))
	48.4%	(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
	47.8%	(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
	31.6%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
	31.5%	(.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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
	31.6%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a) b) a #s(literal 1 binary64))))))
	32.5%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
	31.8%	(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 b b)) b b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
	12.5%	(.f64 r (/.f64 #s(approx (sin b) #s(approx (+ ( (pow b 3) -1/6) b) (.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
	77.3%	(.f64 r (.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
	13.1%	(*.f64 r #s(approx (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
	48.0%	(.f64 r #s(approx (/ (sin b) (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
	61.6%	#s(approx (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
✓	99.4%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
✓	99.5%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
	68.7%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.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))))))
	99.2%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))))
	99.3%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (/.f64 (+.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))) (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))))
	39.7%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))))
	48.1%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 #s(approx (* (sin b) r) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (.f64 r (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64))) (.f64 b b) (.f64 #s(literal -1/6 binary64) r)) (.f64 b r))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
	48.2%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
	48.8%	#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
	48.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
	33.4%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
	33.5%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
✓	48.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
	31.9%	#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))
	31.8%	#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))
	32.0%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
	27.2%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
✓	27.3%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
	8.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
✓	32.6%	#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 4 402 to 1 770 computations (59.8% saved)

regimes189.0ms (2.2%)

Memory

1.7MiB live, 256.0MiB allocated

Counts

94 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 b b)) b b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a 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) (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) (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(.f64 r (/.f64 #s(approx (sin b) #s(approx (+ ( (pow b 3) -1/6) b) (.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a) b) a #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 #s(approx (sin b) (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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) b))) (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))))
(*.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 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))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (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 (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (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 a) (sin.f64 b) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (*.f64 (neg.f64 b) (-.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(.f64 r (/.f64 (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))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.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))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (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 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 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 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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)) (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 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) 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 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (neg.f64 (fma.f64 b (-.f64 b (PI.f64)) (.f64 (PI.f64) (PI.f64)))))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(.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))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.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) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b))))
(.f64 r (/.f64 (fma.f64 (sin.f64 (+.f64 (PI.f64) (PI.f64))) (cos.f64 b) (.f64 (cos.f64 (+.f64 (PI.f64) (PI.f64))) (sin.f64 b))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 #s(approx (* (sin b) r) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (.f64 r (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64))) (.f64 b b) (.f64 #s(literal -1/6 binary64) r)) (.f64 b r))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (cos.f64 (.f64 b (/.f64 b (-.f64 a b))))) (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))))
(.f64 r (/.f64 (sin.f64 b) (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))))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.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)))
(.f64 r #s(approx (/ (sin b) (cos (+ a 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)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 2 binary64)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (neg.f64 a) (.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)))
(.f64 (/.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))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (/.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 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))))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (.f64 (sin.f64 b) r) (/.f64 (+.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))) (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))))
(.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 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 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 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 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))))

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

68.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
42.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
26.0ms	b
24.0ms	r
24.0ms	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)

regimes134.0ms (1.5%)

Memory

-5.6MiB live, 128.1MiB allocated

Counts

75 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 b b)) b b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a 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) (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) (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(.f64 r (/.f64 #s(approx (sin b) #s(approx (+ ( (pow b 3) -1/6) b) (.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a) b) a #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 #s(approx (sin b) (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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (*.f64 (neg.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (+ (+ (+ (PI) b) (PI)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 4 binary64) b))) (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))))
(*.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 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))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (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 (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (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 a) (sin.f64 b) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (*.f64 (neg.f64 b) (-.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)))))))
(.f64 r #s(approx (/ (sin b) (cos (+ a b))) (.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(.f64 r (/.f64 (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))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.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))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (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 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 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 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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)) (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 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) 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 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (neg.f64 (fma.f64 b (-.f64 b (PI.f64)) (.f64 (PI.f64) (PI.f64)))))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(.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))))

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

Calls

5 calls:

47.0ms	a
24.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
23.0ms	b
18.0ms	r
18.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Accuracy	Segments	Branch
77.4%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
77.4%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
77.4%	1	`r`
77.4%	1	`a`
77.4%	1	`b`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes54.0ms (0.6%)

Memory

20.0MiB live, 73.0MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 b b)) b b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a 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) (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) (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(.f64 r (/.f64 #s(approx (sin b) #s(approx (+ ( (pow b 3) -1/6) b) (.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a) b) a #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 #s(approx (sin b) (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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

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

Calls

5 calls:

14.0ms	a
10.0ms	r
9.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
9.0ms	b
9.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Results

Accuracy	Segments	Branch
77.3%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
77.3%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
77.3%	1	`r`
77.3%	1	`a`
77.3%	1	`b`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes56.0ms (0.6%)

Memory

-25.4MiB live, 109.3MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 b b)) b b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a 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) (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) (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(.f64 r (/.f64 #s(approx (sin b) #s(approx (+ ( (pow b 3) -1/6) b) (.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a) b) a #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 #s(approx (sin b) (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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 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) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))

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

Calls

5 calls:

12.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
12.0ms	b
12.0ms	a
9.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
9.0ms	r

Results

Accuracy	Segments	Branch
61.6%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
76.9%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
63.7%	2	`r`
77.2%	3	`a`
76.9%	3	`b`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes22.0ms (0.2%)

Memory

-18.2MiB live, 39.4MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 b b)) b b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a 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) (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) (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(.f64 r (/.f64 #s(approx (sin b) #s(approx (+ ( (pow b 3) -1/6) b) (.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a) b) a #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 #s(approx (sin b) (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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
76.9%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
75.6%	3	`a`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes43.0ms (0.5%)

Memory

30.1MiB live, 75.1MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 b b)) b b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a 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) (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) (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (+ (PI) b) (PI))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (+.f64 #s(literal 0 binary64) b)) (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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))
(.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(/.f64 (.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(.f64 r (/.f64 #s(approx (sin b) #s(approx (+ ( (pow b 3) -1/6) b) (.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) a) b) a #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (+ (+ (PI) b) (PI))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(.f64 r (/.f64 #s(approx (sin b) (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)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))
(.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))))

Outputs

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

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

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

Calls

5 calls:

10.0ms	r
8.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
8.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
8.0ms	b
8.0ms	a

Results

Accuracy	Segments	Branch
48.4%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
48.4%	1	`r`
48.4%	1	`a`
52.8%	3	`b`
52.7%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes19.0ms (0.2%)

Memory

-4.9MiB live, 38.6MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

10.0ms	b
7.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
52.4%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
52.4%	3	`b`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
52.4%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes23.0ms (0.3%)

Memory

14.2MiB live, 60.4MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
48.0%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
48.0%	1	`r`
48.0%	1	`a`
48.0%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
48.0%	1	`b`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes18.0ms (0.2%)

Memory

-25.5MiB live, 30.0MiB allocated

Accuracy

Total -16.2b remaining (-37.6%)

Threshold costs -16.2b (-37.6%)

Counts

8 → 1

Calls

Call 1

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

7.0ms	a
3.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms	r
3.0ms	b

Results

Accuracy	Segments	Branch
32.6%	1	`r`
32.6%	1	`b`
32.6%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
32.6%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
32.6%	1	`a`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch49.0ms (0.6%)

Memory

-3.3MiB live, 43.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.0442118969261985e-8	6.964421443146413e-6
29.0ms	-0.0003863338477615961	-1.3900979789910406e-5

Samples

19.0ms	114×	0	valid
18.0ms	110×	1	valid

Compiler

Compiled 418 to 364 computations (12.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 5.0ms (27.3% of total)

ival-cos: 5.0ms (27.3% of total)

ival-add: 2.0ms (10.9% of total)

ival-div: 2.0ms (10.9% of total)

adjust: 2.0ms (10.9% of total)

ival-mult: 2.0ms (10.9% of total)

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

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

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2410946832284231e-8	7.222917843582896e-7
0.0ms	-3.176152301694695e-6	-1.1919426148273834e-18

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch63.0ms (0.7%)

Memory

-9.2MiB live, 80.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.09776639507464985	36.93103820905741
34.0ms	-6668302453659.96	-64307468355.92707

Samples

30.0ms	143×	0	valid
15.0ms	97×	1	valid

Compiler

Compiled 657 to 554 computations (15.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 16.0ms (41.8% of total)

ival-sin: 8.0ms (20.9% of total)

ival-cos: 8.0ms (20.9% of total)

ival-add: 2.0ms (5.2% of total)

adjust: 2.0ms (5.2% of total)

ival-mult: 2.0ms (5.2% of total)

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

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

bsearch72.0ms (0.8%)

Memory

11.6MiB live, 68.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
52.0ms	543947923380269.25	32846528649158628.0
17.0ms	-0.006402621262521013	-3.176152301684015e-6

Samples

53.0ms	158×	1	valid
5.0ms	82×	0	valid

Compiler

Compiled 552 to 494 computations (10.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-sin: 33.0ms (64.8% of total)

ival-cos: 8.0ms (15.7% of total)

adjust: 3.0ms (5.9% of total)

ival-add: 2.0ms (3.9% of total)

ival-div: 2.0ms (3.9% of total)

ival-mult: 2.0ms (3.9% of total)

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

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

bsearch83.0ms (1%)

Memory

12.1MiB live, 58.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1025484384968.6245	543947923380269.25
56.0ms	-186295039176109000.0	-6668302453659.96

Samples

59.0ms	164×	1	valid
10.0ms	92×	0	valid

Compiler

Compiled 588 to 494 computations (16% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-cos: 40.0ms (66.1% of total)

ival-sin: 11.0ms (18.2% of total)

adjust: 3.0ms (5% of total)

ival-mult: 3.0ms (5% of total)

ival-add: 2.0ms (3.3% of total)

ival-div: 2.0ms (3.3% of total)

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

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

simplify62.0ms (0.7%)

Memory

-12.8MiB live, 73.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	319
1	167	314
2	246	310
3	410	310
4	795	310
5	1872	310
6	4434	310

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -9002011107970261/295147905179352825856 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 8028023020878397/1180591620717411303424 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -4722366482869645/2361183241434822606848 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 a)) b)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (<=.f64 b #s(literal -2050000000000 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 2758454771764429/562949953421312 binary64)) (.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -7378697629483821/1152921504606846976 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1650000000000000 binary64)) (.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -105000000000000 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1320000000000 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 a)) b)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 a #s(literal -9002011107970261/295147905179352825856 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 8028023020878397/1180591620717411303424 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (or (<=.f64 a #s(literal -9002011107970261/295147905179352825856 binary64)) (not (<=.f64 a #s(literal 8028023020878397/1180591620717411303424 binary64)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) #s(approx ( r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -4722366482869645/2361183241434822606848 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 a)) b)) #s(approx ( r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (or (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -4722366482869645/2361183241434822606848 binary64)) (not (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 3022314549036573/151115727451828646838272 binary64)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) #s(approx ( r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b)))
(if (<=.f64 b #s(literal -2050000000000 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 2758454771764429/562949953421312 binary64)) (.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))))
(if (or (<=.f64 b #s(literal -2050000000000 binary64)) (not (<=.f64 b #s(literal 2758454771764429/562949953421312 binary64)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))) (*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))))
(if (<=.f64 b #s(literal -7378697629483821/1152921504606846976 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1650000000000000 binary64)) (.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))))
(if (or (<=.f64 b #s(literal -7378697629483821/1152921504606846976 binary64)) (not (<=.f64 b #s(literal 1650000000000000 binary64)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))) (*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) b) (cos.f64 (+.f64 a b)))))
(if (<=.f64 b #s(literal -105000000000000 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1320000000000 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (.f64 (/.f64 r (cos.f64 a)) b)) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))))))
(if (or (<=.f64 b #s(literal -105000000000000 binary64)) (not (<=.f64 b #s(literal 1320000000000 binary64)))) (.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

derivations926.0ms (10.7%)

Memory

-21.0MiB live, 851.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	13	22
1	46	22
2	268	22
3	2877	22
0	8306	22
0	497	2463
1	1694	2285
2	6614	1974
0	8939	1863
0	215	832
1	696	794
2	2437	727
0	8298	692
0	57	309
0	93	274
1	321	266
2	2126	266
0	8121	266
0	557	2419
1	1912	2156
2	7647	2100
0	8432	1969

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×	node limit
1×	iter limit

Compiler

Compiled 320 to 103 computations (67.8% saved)

preprocess93.0ms (1.1%)

Memory: 40.9MiB live, 87.0MiB allocated
Remove: (negabs r)
Compiler: Compiled 794 to 314 computations (60.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze277.0ms (3.2%)

sample1.8s (20.4%)

explain149.0ms (1.7%)

preprocess136.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify150.0ms (1.7%)

localize53.0ms (0.6%)

series17.0ms (0.2%)

simplify150.0ms (1.7%)

rewrite183.0ms (2.1%)

eval33.0ms (0.4%)

prune29.0ms (0.3%)

simplify99.0ms (1.1%)

localize264.0ms (3%)

series78.0ms (0.9%)

simplify175.0ms (2%)

rewrite596.0ms (6.9%)

eval104.0ms (1.2%)

prune79.0ms (0.9%)

simplify109.0ms (1.3%)

localize433.0ms (5%)

series45.0ms (0.5%)

simplify251.0ms (2.9%)

rewrite227.0ms (2.6%)

eval107.0ms (1.2%)

prune106.0ms (1.2%)

simplify118.0ms (1.4%)

localize326.0ms (3.8%)

series70.0ms (0.8%)

simplify177.0ms (2%)

rewrite256.0ms (2.9%)

eval124.0ms (1.4%)

prune75.0ms (0.9%)

regimes189.0ms (2.2%)

regimes134.0ms (1.5%)

regimes54.0ms (0.6%)

regimes56.0ms (0.6%)

regimes22.0ms (0.2%)

regimes43.0ms (0.5%)

regimes19.0ms (0.2%)

regimes5.0ms (0.1%)

regimes23.0ms (0.3%)

regimes18.0ms (0.2%)

bsearch49.0ms (0.6%)

bsearch1.0ms (0%)

bsearch63.0ms (0.7%)

bsearch72.0ms (0.8%)

bsearch83.0ms (1%)

simplify62.0ms (0.7%)

derivations926.0ms (10.7%)

preprocess93.0ms (1.1%)

end0.0ms (0%)

Profiling