Metrics for rsin B (should all be same)

analyze270.0ms (2%)

Memory

-2.1MiB live, 353.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample2.1s (15.9%)

Memory

24.6MiB live, 2 812.3MiB allocated

Samples

1.3s	5 814×	1	valid
275.0ms	2 442×	0	valid

Precisions

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

ival-cos: 330.0ms (30.2% of total)

ival-sin: 282.0ms (25.8% of total)

ival-mult: 185.0ms (16.9% of total)

adjust: 126.0ms (11.5% of total)

ival-add: 80.0ms (7.3% of total)

ival-div: 78.0ms (7.1% of total)

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

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

Bogosity

preprocess101.0ms (0.8%)

Memory

7.8MiB live, 47.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs r)

explain131.0ms (1%)

Memory

1.1MiB live, 198.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
64	126	(5.704098147383311e-32 1.4318636771769017e+116 -4.332394479331083e-296)	-	`(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	190	1

Confusion

	Predicted +	Predicted -
+	64	0
-	126	66

Precision

0.3368421052631579

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	0
-	126	1	65

Precision?

0.33507853403141363

Recall?

1.0

Freqs

test

number	freq
0	66
1	190

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms	366×	1	valid
10.0ms	146×	0	valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

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

ival-cos: 16.0ms (31.7% of total)

ival-sin: 12.0ms (23.8% of total)

ival-add: 6.0ms (11.9% of total)

adjust: 6.0ms (11.9% of total)

ival-div: 5.0ms (9.9% of total)

ival-mult: 5.0ms (9.9% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.3%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (0.4%)

Memory

-36.0MiB live, 66.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 b)
✓	accuracy	99.7%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
✓	accuracy	99.6%	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
✓	accuracy	78.5%	(cos.f64 (+.f64 a b))

Samples

41.0ms	183×	1	valid
5.0ms	73×	0	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-cos: 19.0ms (54.5% of total)

ival-sin: 6.0ms (17.2% of total)

adjust: 3.0ms (8.6% of total)

ival-mult: 3.0ms (8.6% of total)

ival-add: 2.0ms (5.7% of total)

ival-div: 2.0ms (5.7% of total)

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

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

series15.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite359.0ms (2.7%)

Memory

-6.1MiB live, 454.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 160

Calls

Call 1

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

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

simplify344.0ms (2.6%)

Memory

24.8MiB live, 419.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

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

eval32.0ms (0.2%)

Memory: -16.8MiB live, 64.0MiB allocated
Compiler: Compiled 4 805 to 748 computations (84.4% saved)

prune58.0ms (0.4%)

Memory

7.6MiB live, 123.7MiB allocated

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	217	38	255
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	218	38	256

Accuracy

99.9%

Counts

256 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.2%	(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
▶	78.3%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
	63.3%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
	78.3%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	78.0%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	79.8%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
	78.2%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
	78.2%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	78.4%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	78.0%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
	78.2%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	78.2%	(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
	49.3%	(.f64 r (/.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b) (cos.f64 (+.f64 a b))))
	49.1%	(.f64 r (/.f64 (fma.f64 (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))))
	49.0%	(.f64 r (/.f64 (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a b))))
	78.2%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
	77.8%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
▶	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	50.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
	50.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
	60.9%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))))
	60.9%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
	98.6%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
	77.9%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))))
	99.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	61.0%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
	51.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
▶	78.3%	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
▶	38.8%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
	63.4%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	53.1%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
	49.4%	(*.f64 r (/.f64 b (cos.f64 a)))
	78.3%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	78.3%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	49.5%	(.f64 b (fma.f64 r (/.f64 (.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
▶	49.4%	(*.f64 b (/.f64 r (cos.f64 a)))
	36.9%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))

Compiler

Compiled 1 622 to 972 computations (40.1% saved)

simplify464.0ms (3.5%)

Memory

-128.9MiB live, 339.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(/.f64 (sin.f64 b) (.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
✓	cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
✓	cost-diff	14528	(.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b)))))))
✓	cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
✓	cost-diff	128	(cos.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))
✓	cost-diff	0	(cos.f64 (+.f64 b a))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
✓	cost-diff	0	(cos.f64 a)
✓	cost-diff	0	(/.f64 r (cos.f64 a))
✓	cost-diff	0	(*.f64 b (/.f64 r (cos.f64 a)))
✓	cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))

Rules

5 582×	`lower-fma.f32`
5 576×	`lower-fma.f64`
4 124×	`lower-*.f32`
4 100×	`lower-*.f64`
2 130×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	336
0	72	295
1	123	290
2	229	280
3	489	280
4	1341	280
5	3173	280
6	4703	280
7	7338	280
0	8235	280

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

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

localize270.0ms (2%)

Memory

-16.4MiB live, 450.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
✓	accuracy	99.5%	(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
✓	accuracy	78.6%	(cos.f64 (-.f64 a b))
✓	accuracy	78.5%	(cos.f64 (+.f64 b a))
✓	accuracy	98.0%	(fma.f64 b b (*.f64 a (-.f64 a b)))
✓	accuracy	97.5%	(fma.f64 a (.f64 a a) (.f64 b (*.f64 b b)))
✓	accuracy	78.5%	(cos.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))
✓	accuracy	40.5%	(/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b)))))
✓	accuracy	100.0%	(sin.f64 b)
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
✓	accuracy	78.5%	(cos.f64 (+.f64 b a))
✓	accuracy	100.0%	(cos.f64 a)
✓	accuracy	99.9%	(*.f64 b (/.f64 r (cos.f64 a)))
✓	accuracy	99.8%	(/.f64 r (cos.f64 a))
✓	accuracy	99.8%	(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
✓	accuracy	99.7%	(*.f64 (sin.f64 b) (sin.f64 a))
✓	accuracy	99.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
✓	accuracy	99.6%	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))

Samples

182.0ms	186×	1	valid
23.0ms	70×	0	valid

Compiler

Compiled 352 to 41 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 64.0ms (38% of total)

ival-cos: 43.0ms (25.5% of total)

ival-div: 19.0ms (11.3% of total)

ival-sin: 16.0ms (9.5% of total)

adjust: 13.0ms (7.7% of total)

ival-add: 7.0ms (4.2% of total)

ival-neg: 3.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series72.0ms (0.5%)

Memory

3.2MiB live, 139.9MiB allocated

Counts

22 → 564

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
8.0ms	b	@	inf	(/ (sin b) (cos (/ (+ (* a (* a a)) (* b (* b b))) (neg (+ (* b b) (* a (- a b)))))))
5.0ms	b	@	inf	(* b (/ r (cos a)))
4.0ms	b	@	-inf	(/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))
3.0ms	a	@	0	(* r (/ (sin b) (cos (/ (+ (* a (* a a)) (* b (* b b))) (neg (+ (* b b) (* a (- a b))))))))
3.0ms	r	@	0	(* r (/ (sin b) (cos (/ (+ (* a (* a a)) (* b (* b b))) (neg (+ (* b b) (* a (- a b))))))))

rewrite512.0ms (3.9%)

Memory

-2.2MiB live, 501.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 982×	`lower-*.f32`
4 962×	`lower-*.f64`
4 530×	`lower-/.f32`
4 520×	`lower-/.f64`
3 052×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	255
0	72	141
1	240	128
2	1668	128
0	8530	128

Stop Event

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

Counts

22 → 1 076

Calls

Call 1

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

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

simplify533.0ms (4%)

Memory

7.8MiB live, 570.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 362×	`lower-fma.f64`
10 362×	`lower-fma.f32`
6 824×	`lower-*.f64`
6 824×	`lower-*.f32`
3 722×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	769	7890
1	2581	7298
0	8504	7052

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 562

Calls

Call 1

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

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

eval259.0ms (2%)

Memory: 24.6MiB live, 644.4MiB allocated
Compiler: Compiled 54 889 to 4 034 computations (92.7% saved)

prune524.0ms (4%)

Memory

-31.6MiB live, 504.6MiB allocated

Pruning

70 alts after pruning (69 fresh and 1 done)

	Pruned	Kept	Total
New	1 893	49	1 942
Fresh	13	20	33
Picked	4	1	5
Done	0	0	0
Total	1 910	70	1 980

Accuracy

100.0%

Counts

1 980 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.2%	(/.f64 (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
	78.2%	(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
	49.0%	(/.f64 (.f64 r (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
	50.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
	98.8%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))
	77.8%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) (.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))
	78.2%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
	61.0%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	51.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
	63.3%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
	53.1%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	49.5%	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	49.4%	(/.f64 (*.f64 r b) (cos.f64 a))
	49.3%	(/.f64 (.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) r)) (cos.f64 (+.f64 b a)))
	78.3%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	49.4%	(/.f64 b (/.f64 (cos.f64 a) r))
	78.0%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	49.2%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
	98.7%	(.f64 (/.f64 (.f64 r (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 (neg.f64 b))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))))
	78.2%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
	78.2%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	78.4%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	78.0%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
	78.2%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	78.2%	(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
	49.1%	(.f64 r (/.f64 (fma.f64 (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))))
	49.9%	(.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	49.0%	(.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	49.0%	(.f64 r (/.f64 (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a b))))
	77.8%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
▶	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))
	61.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
▶	61.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
	68.2%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) a)))))
	64.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 b (sin.f64 a))))))
	64.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
	64.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	60.9%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
	99.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	61.0%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
	51.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (cos.f64 (-.f64 a b)) (.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	64.3%	(.f64 r (/.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (.f64 (.f64 (cos.f64 (-.f64 a b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	63.5%	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
	52.9%	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
	53.0%	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	39.1%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 b (.f64 b b)) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))))
▶	33.1%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))))
	70.7%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))))
	66.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (neg.f64 (fma.f64 b (/.f64 a b) b)))))
	63.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (neg.f64 (fma.f64 a (/.f64 b a) a)))))
	20.6%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))))
▶	63.4%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	49.4%	(*.f64 r (/.f64 b (cos.f64 a)))
	78.3%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	78.3%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	49.4%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
▶	34.1%	(*.f64 r b)
	26.5%	(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
	27.1%	(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
	33.1%	(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	32.9%	(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	33.1%	(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	49.4%	(*.f64 b (/.f64 r (cos.f64 a)))
	49.4%	(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
	49.4%	(.f64 b (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))))
	36.9%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))

Compiler

Compiled 2 665 to 1 688 computations (36.7% saved)

simplify263.0ms (2%)

Memory

3.9MiB live, 200.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
✓	cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))))
✓	cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))))
✓	cost-diff	128	(cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))
✓	cost-diff	0	(cos.f64 b)
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 b))
✓	cost-diff	0	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
✓	cost-diff	0	(*.f64 r b)
✓	cost-diff	0	(fma.f64 (sin.f64 (neg.f64 b)) (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 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))
✓	cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))

Rules

2 640×	`lower-fma.f32`
2 632×	`lower-fma.f64`
1 680×	`lower-*.f32`
1 658×	`lower-*.f64`
782×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	278
0	69	268
1	122	265
2	224	265
3	494	265
4	1058	265
5	1825	265
6	2375	265
7	3160	265
8	3875	265
9	4061	265
10	4097	265
11	4118	265
12	4128	265
13	4516	265
14	4696	265
15	4720	265
16	4741	265
17	4741	265
18	4741	265
19	4745	265
0	4745	265

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize232.0ms (1.8%)

Memory

13.1MiB live, 291.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))
✓	accuracy	99.8%	(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
✓	accuracy	99.7%	(*.f64 (sin.f64 b) (sin.f64 a))
✓	accuracy	96.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
✓	accuracy	99.7%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))))
✓	accuracy	98.0%	(fma.f64 b b (*.f64 a (-.f64 a b)))
✓	accuracy	86.3%	(cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))
✓	accuracy	62.3%	(/.f64 (.f64 a (.f64 a a)) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
✓	accuracy	100.0%	(sin.f64 b)
✓	accuracy	100.0%	(cos.f64 b)
✓	accuracy	99.8%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
✓	accuracy	99.7%	(/.f64 (sin.f64 b) (cos.f64 b))
✓	accuracy	100.0%	(*.f64 r b)
✓	accuracy	99.9%	(*.f64 (cos.f64 b) (cos.f64 a))
✓	accuracy	99.9%	(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
✓	accuracy	99.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))
✓	accuracy	99.6%	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))

Samples

76.0ms	161×	0	valid
64.0ms	95×	1	valid

Compiler

Compiled 296 to 41 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-cos: 35.0ms (32% of total)

ival-mult: 26.0ms (23.8% of total)

ival-sin: 18.0ms (16.5% of total)

ival-div: 13.0ms (11.9% of total)

ival-add: 6.0ms (5.5% of total)

adjust: 5.0ms (4.6% of total)

ival-neg: 4.0ms (3.7% of total)

ival-sub: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series79.0ms (0.6%)

Memory

18.2MiB live, 129.6MiB allocated

Counts

18 → 432

Calls

Call 1

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

Outputs
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
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#<alt (+ (sin b) (* 1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))>
#<alt (- (+ (sin b) (/ (* (pow a 7) (sin b)) (pow b 5))) (* -1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))>
#<alt (- (+ (sin b) (* -1 (/ (- (/ (* (sin b) (+ (* -1/2 (pow a 8)) (* (pow a 3) (+ (* -1 (pow a 5)) (pow a 5))))) b) (* (pow a 7) (sin b))) (pow b 5)))) (* -1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))>
#<alt (sin b)>
#<alt (+ (sin b) (* 1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))>
#<alt (+ (sin b) (* (pow a 6) (- (/ (* a (sin b)) (pow b 5)) (* -1/2 (/ (sin b) (pow b 4))))))>
#<alt (+ (sin b) (* (pow a 6) (- (* a (- (* 1/2 (/ (* a (sin b)) (pow b 6))) (* -1 (/ (sin b) (pow b 5))))) (* -1/2 (/ (sin b) (pow b 4))))))>
#<alt (/ (sin b) (cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2))))))>
#<alt (/ (sin b) (cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2))))))>
#<alt (/ (sin b) (cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2))))))>
#<alt (/ (sin b) (cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2))))))>
#<alt (/ (sin b) (cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))>
#<alt (/ (sin b) (cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))>
#<alt (/ (sin b) (cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))>
#<alt (/ (sin b) (cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))>
#<alt (* b (+ (/ r (+ 1 (* -1/2 (pow a 2)))) (/ (* b (* r (sin a))) (pow (+ 1 (* -1/2 (pow a 2))) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (* -1/2 (/ r (+ 1 (* -1/2 (pow a 2)))))))) (* -1 (/ (* r (sin a)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (* -1/2 (/ r (+ 1 (* -1/2 (pow a 2)))))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* -1/2 (/ (* r (sin a)) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (* 1/6 (/ (* r (sin a)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))))) (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (* -1/2 (/ r (+ 1 (* -1/2 (pow a 2)))))))) (* -1 (/ (* r (sin a)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))>
#<alt (/ (+ (* -4 (/ (* r (* (sin b) (- (cos b) (* (sin a) (sin b))))) (* (pow a 2) (pow (cos b) 2)))) (* -2 (/ (* r (sin b)) (cos b)))) (pow a 2))>
#<alt (/ (- (+ (* -8 (/ (* r (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2))) (* (pow a 4) (pow (cos b) 3)))) (* -2 (/ (* r (sin b)) (cos b)))) (* 4 (/ (* r (* (sin b) (- (cos b) (* (sin a) (sin b))))) (* (pow a 2) (pow (cos b) 2))))) (pow a 2))>
#<alt (/ (- (+ (* -16 (/ (* r (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 3))) (* (pow a 6) (pow (cos b) 4)))) (* -2 (/ (* r (sin b)) (cos b)))) (+ (* 4 (/ (* r (* (sin b) (- (cos b) (* (sin a) (sin b))))) (* (pow a 2) (pow (cos b) 2)))) (* 8 (/ (* r (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2))) (* (pow a 4) (pow (cos b) 3)))))) (pow a 2))>
#<alt (* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))>
#<alt (/ (+ (* -4 (/ (* r (* (sin b) (- (cos b) (* (sin a) (sin b))))) (* (pow a 2) (pow (cos b) 2)))) (* -2 (/ (* r (sin b)) (cos b)))) (pow a 2))>
#<alt (/ (- (+ (* -8 (/ (* r (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2))) (* (pow a 4) (pow (cos b) 3)))) (* -2 (/ (* r (sin b)) (cos b)))) (* 4 (/ (* r (* (sin b) (- (cos b) (* (sin a) (sin b))))) (* (pow a 2) (pow (cos b) 2))))) (pow a 2))>
#<alt (/ (- (+ (* -16 (/ (* r (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 3))) (* (pow a 6) (pow (cos b) 4)))) (* -2 (/ (* r (sin b)) (cos b)))) (+ (* 4 (/ (* r (* (sin b) (- (cos b) (* (sin a) (sin b))))) (* (pow a 2) (pow (cos b) 2)))) (* 8 (/ (* r (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2))) (* (pow a 4) (pow (cos b) 3)))))) (pow a 2))>
#<alt (/ b (+ 1 (* -1/2 (pow a 2))))>
#<alt (* b (+ (/ 1 (+ 1 (* -1/2 (pow a 2)))) (/ (* b (sin a)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (pow (sin a) 2) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (* 1/6 (/ 1 (+ 1 (* -1/2 (pow a 2)))))))) (* -1 (/ (sin a) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ 1 (+ 1 (* -1/2 (pow a 2))))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (pow (sin a) 2) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (* 1/6 (/ 1 (+ 1 (* -1/2 (pow a 2)))))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* -1/2 (/ (sin a) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (* 1/6 (/ (sin a) (pow (+ 1 (* -1/2 (pow a 2))) 2))))))) (* 1/2 (/ 1 (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (pow (sin a) 2) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (* 1/6 (/ 1 (+ 1 (* -1/2 (pow a 2)))))))) (* -1 (/ (sin a) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ 1 (+ 1 (* -1/2 (pow a 2))))))>
#<alt (/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (* -2 (/ (sin b) (* (pow a 2) (cos b))))>
#<alt (/ (+ (* -4 (/ (* (sin b) (- (cos b) (* (sin a) (sin b)))) (* (pow a 2) (pow (cos b) 2)))) (* -2 (/ (sin b) (cos b)))) (pow a 2))>
#<alt (/ (- (+ (* -8 (/ (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2)) (* (pow a 4) (pow (cos b) 3)))) (* -2 (/ (sin b) (cos b)))) (* 4 (/ (* (sin b) (- (cos b) (* (sin a) (sin b)))) (* (pow a 2) (pow (cos b) 2))))) (pow a 2))>
#<alt (/ (- (+ (* -16 (/ (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 3)) (* (pow a 6) (pow (cos b) 4)))) (* -2 (/ (sin b) (cos b)))) (+ (* 4 (/ (* (sin b) (- (cos b) (* (sin a) (sin b)))) (* (pow a 2) (pow (cos b) 2)))) (* 8 (/ (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2)) (* (pow a 4) (pow (cos b) 3)))))) (pow a 2))>
#<alt (* -2 (/ (sin b) (* (pow a 2) (cos b))))>
#<alt (/ (+ (* -4 (/ (* (sin b) (- (cos b) (* (sin a) (sin b)))) (* (pow a 2) (pow (cos b) 2)))) (* -2 (/ (sin b) (cos b)))) (pow a 2))>
#<alt (/ (- (+ (* -8 (/ (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2)) (* (pow a 4) (pow (cos b) 3)))) (* -2 (/ (sin b) (cos b)))) (* 4 (/ (* (sin b) (- (cos b) (* (sin a) (sin b)))) (* (pow a 2) (pow (cos b) 2))))) (pow a 2))>
#<alt (/ (- (+ (* -16 (/ (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 3)) (* (pow a 6) (pow (cos b) 4)))) (* -2 (/ (sin b) (cos b)))) (+ (* 4 (/ (* (sin b) (- (cos b) (* (sin a) (sin b)))) (* (pow a 2) (pow (cos b) 2)))) (* 8 (/ (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2)) (* (pow a 4) (pow (cos b) 3)))))) (pow a 2))>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (+ (* -1 (* b (sin a))) (* -1/2 (pow a 2))))>
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (- (* -1/2 (* b (+ 1 (* -1/2 (pow a 2))))) (sin a)))))>
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (- (* b (+ (* -1/2 (+ 1 (* -1/2 (pow a 2)))) (* 1/6 (* b (sin a))))) (sin a)))))>
#<alt (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))>
#<alt (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))>
#<alt (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))>
#<alt (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))>
#<alt (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))>
#<alt (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))>
#<alt (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))>
#<alt (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))>
#<alt (* -1/2 (* (pow a 2) (cos b)))>
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* (pow a 3) (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))))>
#<alt (* (pow a 3) (- (* a (- (/ (pow a 2) (pow b 5)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))))>
#<alt (* (pow a 3) (- (* a (- (* (pow a 2) (+ (/ 1 (pow b 5)) (/ a (pow b 6)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))))>
#<alt (* -1 a)>
#<alt (* a (- (* -1 (/ b a)) 1))>
#<alt (* a (- (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2))) (+ 1 (/ b a))))>
#<alt (* a (- (* -1 (/ (+ (* -1 (pow b 3)) (* b (+ (* -1 (pow b 2)) (pow b 2)))) (pow a 3))) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ b a) (/ (pow b 2) (pow a 2)))))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (/ b a))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) b) a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (/ (pow b 3) a))) (+ (* -1 (pow b 2)) (pow b 2))) a)) b) a)))))>
#<alt (* -1 a)>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (+ (* -1 a) (* b (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (+ (* -1 a) (* b (- (* (pow b 2) (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) 1)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (/ (+ (* -1 (/ (pow a 4) b)) (* -1 (pow a 3))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (pow a 4) b)) (+ (* -1 (/ (pow a 5) (pow b 2))) (+ (* -1 (pow a 3)) (/ (pow a 5) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (pow a 4) b)) (+ (* -1 (/ (pow a 5) (pow b 2))) (+ (* -1 (pow a 3)) (+ (/ (* a (+ (* -1 (pow a 5)) (pow a 5))) (pow b 3)) (+ (/ (pow a 5) (pow b 2)) (/ (pow a 6) (pow b 3))))))) (pow b 2))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (/ (+ (* -1 (/ (pow a 4) b)) (* -1 (pow a 3))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow a 5)) (pow a 5)) b)) (pow a 4)) b)) (* -1 (pow a 3))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (+ (* -1 (pow a 5)) (pow a 5)))) (* -1 (pow a 6))) b)) (+ (* -1 (pow a 5)) (pow a 5))) b)) (pow a 4)) b)) (* -1 (pow a 3))) (pow b 2))>
#<alt (pow a 2)>
#<alt (+ (* -1 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* -1 a))) (pow a 2))>
#<alt (+ (* b (+ b (* -1 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))))>
#<alt (pow b 2)>
#<alt (+ (* -1 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* -1 b))) (pow b 2))>
#<alt (+ (* a (+ a (* -1 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ b a))))>
#<alt (* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))>
#<alt (* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>

Calls

108 calls:

Time	Variable		Point	Expression
18.0ms	b	@	-inf	(/ (sin b) (+ (* (cos b) (+ (* a (* a -1/2)) 1)) (neg (* (sin b) (sin a)))))
5.0ms	a	@	inf	(/ (sin b) (cos (/ (* a (* a a)) (neg (+ (* b b) (* a (- a b)))))))
3.0ms	b	@	-inf	(* r b)
2.0ms	b	@	inf	(cos (/ (* a (* a a)) (neg (+ (* b b) (* a (- a b))))))
2.0ms	a	@	0	(* (cos b) (cos a))

rewrite397.0ms (3%)

Memory

5.8MiB live, 727.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 260×	`lower-fma.f32`
5 252×	`lower-fma.f64`
4 184×	`lower-/.f32`
4 174×	`lower-/.f64`
3 894×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	202
0	69	188
1	233	164
2	1612	164
0	8373	164

Stop Event

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

Counts

18 → 625

Calls

Call 1

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

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

simplify375.0ms (2.8%)

Memory

11.1MiB live, 753.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 470×	`lower-fma.f64`
8 470×	`lower-fma.f32`
6 786×	`lower-*.f64`
6 786×	`lower-*.f32`
4 408×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	968	7875
1	3049	7435
0	8553	7067

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 430

Calls

Call 1

Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (sin b) (cos b))
(+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(* b r)
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
(/ (* r (sin b)) (cos b))
b
(* b (+ 1 (* 1/3 (pow b 2))))
(* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))
(* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))
(/ (sin b) (cos b))
(/ (sin b) (cos b))
(/ (sin b) (cos b))
(/ (sin b) (cos b))
(/ (sin b) (cos b))
(/ (sin b) (cos b))
(/ (sin b) (cos b))
(/ (sin b) (cos b))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
1
(+ 1 (* -1/2 (/ (pow a 6) (pow b 4))))
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(cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2)))))
(cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2)))))
(cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2)))))
(cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2)))))
(cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos (* -1 a))
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1
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(+ 1 (+ (* -1 (/ (pow a 7) (pow b 5))) (+ (* -1/2 (/ (pow a 6) (pow b 4))) (+ (* -1/2 (/ (pow a 8) (pow b 6))) (/ (* (pow a 3) (+ (* -1 (pow a 5)) (pow a 5))) (pow b 6))))))
1
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(/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (+ (* a (- a b)) (pow b 2))))))
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(/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (+ (* a (- a b)) (pow b 2))))))
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(/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (+ (* a (- a b)) (pow b 2))))))
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(/ (* b r) (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))
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(* r (sin b))
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(* r (sin b))
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(* r (sin b))
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(/ (* r (sin b)) (cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2))))))
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(/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ b (cos (* -1 a)))
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(sin b)
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(- (+ (sin b) (* -1 (/ (* (sin b) (+ (* -1/2 (pow a 8)) (* (pow a 3) (+ (* -1 (pow a 5)) (pow a 5))))) (pow b 6)))) (+ (* -1 (/ (* (pow a 7) (sin b)) (pow b 5))) (* -1/2 (/ (* (pow a 6) (sin b)) (pow b 4)))))
(sin b)
(+ (sin b) (* 1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))
(- (+ (sin b) (/ (* (pow a 7) (sin b)) (pow b 5))) (* -1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))
(- (+ (sin b) (* -1 (/ (- (/ (* (sin b) (+ (* -1/2 (pow a 8)) (* (pow a 3) (+ (* -1 (pow a 5)) (pow a 5))))) b) (* (pow a 7) (sin b))) (pow b 5)))) (* -1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))
(sin b)
(+ (sin b) (* 1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))
(+ (sin b) (* (pow a 6) (- (/ (* a (sin b)) (pow b 5)) (* -1/2 (/ (sin b) (pow b 4))))))
(+ (sin b) (* (pow a 6) (- (* a (- (* 1/2 (/ (* a (sin b)) (pow b 6))) (* -1 (/ (sin b) (pow b 5))))) (* -1/2 (/ (sin b) (pow b 4))))))
(/ (sin b) (cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (sin b) (cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (sin b) (cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (sin b) (cos (/ (pow a 3) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/ (sin b) (cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (sin b) (cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (sin b) (cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (sin b) (cos (* -1 (/ (pow a 3) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
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(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* b r) (+ 1 (* -1/2 (pow a 2))))
(* b (+ (/ r (+ 1 (* -1/2 (pow a 2)))) (/ (* b (* r (sin a))) (pow (+ 1 (* -1/2 (pow a 2))) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (* -1/2 (/ r (+ 1 (* -1/2 (pow a 2)))))))) (* -1 (/ (* r (sin a)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (* -1/2 (/ r (+ 1 (* -1/2 (pow a 2)))))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* -1/2 (/ (* r (sin a)) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (* 1/6 (/ (* r (sin a)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))))) (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (* -1/2 (/ r (+ 1 (* -1/2 (pow a 2)))))))) (* -1 (/ (* r (sin a)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))
(/ (+ (* -4 (/ (* r (* (sin b) (- (cos b) (* (sin a) (sin b))))) (* (pow a 2) (pow (cos b) 2)))) (* -2 (/ (* r (sin b)) (cos b)))) (pow a 2))
(/ (- (+ (* -8 (/ (* r (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2))) (* (pow a 4) (pow (cos b) 3)))) (* -2 (/ (* r (sin b)) (cos b)))) (* 4 (/ (* r (* (sin b) (- (cos b) (* (sin a) (sin b))))) (* (pow a 2) (pow (cos b) 2))))) (pow a 2))
(/ (- (+ (* -16 (/ (* r (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 3))) (* (pow a 6) (pow (cos b) 4)))) (* -2 (/ (* r (sin b)) (cos b)))) (+ (* 4 (/ (* r (* (sin b) (- (cos b) (* (sin a) (sin b))))) (* (pow a 2) (pow (cos b) 2)))) (* 8 (/ (* r (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2))) (* (pow a 4) (pow (cos b) 3)))))) (pow a 2))
(* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))
(/ (+ (* -4 (/ (* r (* (sin b) (- (cos b) (* (sin a) (sin b))))) (* (pow a 2) (pow (cos b) 2)))) (* -2 (/ (* r (sin b)) (cos b)))) (pow a 2))
(/ (- (+ (* -8 (/ (* r (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2))) (* (pow a 4) (pow (cos b) 3)))) (* -2 (/ (* r (sin b)) (cos b)))) (* 4 (/ (* r (* (sin b) (- (cos b) (* (sin a) (sin b))))) (* (pow a 2) (pow (cos b) 2))))) (pow a 2))
(/ (- (+ (* -16 (/ (* r (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 3))) (* (pow a 6) (pow (cos b) 4)))) (* -2 (/ (* r (sin b)) (cos b)))) (+ (* 4 (/ (* r (* (sin b) (- (cos b) (* (sin a) (sin b))))) (* (pow a 2) (pow (cos b) 2)))) (* 8 (/ (* r (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2))) (* (pow a 4) (pow (cos b) 3)))))) (pow a 2))
(/ b (+ 1 (* -1/2 (pow a 2))))
(* b (+ (/ 1 (+ 1 (* -1/2 (pow a 2)))) (/ (* b (sin a)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (pow (sin a) 2) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (* 1/6 (/ 1 (+ 1 (* -1/2 (pow a 2)))))))) (* -1 (/ (sin a) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ 1 (+ 1 (* -1/2 (pow a 2))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (pow (sin a) 2) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (* 1/6 (/ 1 (+ 1 (* -1/2 (pow a 2)))))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* -1/2 (/ (sin a) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (* 1/6 (/ (sin a) (pow (+ 1 (* -1/2 (pow a 2))) 2))))))) (* 1/2 (/ 1 (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (pow (sin a) 2) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (* 1/6 (/ 1 (+ 1 (* -1/2 (pow a 2)))))))) (* -1 (/ (sin a) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ 1 (+ 1 (* -1/2 (pow a 2))))))
(/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin 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)))
(* -2 (/ (sin b) (* (pow a 2) (cos b))))
(/ (+ (* -4 (/ (* (sin b) (- (cos b) (* (sin a) (sin b)))) (* (pow a 2) (pow (cos b) 2)))) (* -2 (/ (sin b) (cos b)))) (pow a 2))
(/ (- (+ (* -8 (/ (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2)) (* (pow a 4) (pow (cos b) 3)))) (* -2 (/ (sin b) (cos b)))) (* 4 (/ (* (sin b) (- (cos b) (* (sin a) (sin b)))) (* (pow a 2) (pow (cos b) 2))))) (pow a 2))
(/ (- (+ (* -16 (/ (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 3)) (* (pow a 6) (pow (cos b) 4)))) (* -2 (/ (sin b) (cos b)))) (+ (* 4 (/ (* (sin b) (- (cos b) (* (sin a) (sin b)))) (* (pow a 2) (pow (cos b) 2)))) (* 8 (/ (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2)) (* (pow a 4) (pow (cos b) 3)))))) (pow a 2))
(* -2 (/ (sin b) (* (pow a 2) (cos b))))
(/ (+ (* -4 (/ (* (sin b) (- (cos b) (* (sin a) (sin b)))) (* (pow a 2) (pow (cos b) 2)))) (* -2 (/ (sin b) (cos b)))) (pow a 2))
(/ (- (+ (* -8 (/ (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2)) (* (pow a 4) (pow (cos b) 3)))) (* -2 (/ (sin b) (cos b)))) (* 4 (/ (* (sin b) (- (cos b) (* (sin a) (sin b)))) (* (pow a 2) (pow (cos b) 2))))) (pow a 2))
(/ (- (+ (* -16 (/ (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 3)) (* (pow a 6) (pow (cos b) 4)))) (* -2 (/ (sin b) (cos b)))) (+ (* 4 (/ (* (sin b) (- (cos b) (* (sin a) (sin b)))) (* (pow a 2) (pow (cos b) 2)))) (* 8 (/ (* (sin b) (pow (- (cos b) (* (sin a) (sin b))) 2)) (* (pow a 4) (pow (cos b) 3)))))) (pow a 2))
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (+ (* -1 (* b (sin a))) (* -1/2 (pow a 2))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (- (* -1/2 (* b (+ 1 (* -1/2 (pow a 2))))) (sin a)))))
(+ 1 (+ (* -1/2 (pow a 2)) (* b (- (* b (+ (* -1/2 (+ 1 (* -1/2 (pow a 2)))) (* 1/6 (* b (sin a))))) (sin a)))))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))
(* -1/2 (* (pow a 2) (cos b)))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* -1 (/ (pow a 3) (pow b 2)))
(* (pow a 3) (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))))
(* (pow a 3) (- (* a (- (/ (pow a 2) (pow b 5)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))))
(* (pow a 3) (- (* a (- (* (pow a 2) (+ (/ 1 (pow b 5)) (/ a (pow b 6)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(* a (- (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2))) (+ 1 (/ b a))))
(* a (- (* -1 (/ (+ (* -1 (pow b 3)) (* b (+ (* -1 (pow b 2)) (pow b 2)))) (pow a 3))) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ b a) (/ (pow b 2) (pow a 2)))))))
(* -1 a)
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) b) a)))))
(* -1 (* a (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (/ (pow b 3) a))) (+ (* -1 (pow b 2)) (pow b 2))) a)) b) a)))))
(* -1 a)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* b (- (/ (pow b 2) (pow a 2)) 1)))
(+ (* -1 a) (* b (- (* (pow b 2) (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) 1)))
(* -1 (/ (pow a 3) (pow b 2)))
(/ (+ (* -1 (/ (pow a 4) b)) (* -1 (pow a 3))) (pow b 2))
(/ (+ (* -1 (/ (pow a 4) b)) (+ (* -1 (/ (pow a 5) (pow b 2))) (+ (* -1 (pow a 3)) (/ (pow a 5) (pow b 2))))) (pow b 2))
(/ (+ (* -1 (/ (pow a 4) b)) (+ (* -1 (/ (pow a 5) (pow b 2))) (+ (* -1 (pow a 3)) (+ (/ (* a (+ (* -1 (pow a 5)) (pow a 5))) (pow b 3)) (+ (/ (pow a 5) (pow b 2)) (/ (pow a 6) (pow b 3))))))) (pow b 2))
(* -1 (/ (pow a 3) (pow b 2)))
(/ (+ (* -1 (/ (pow a 4) b)) (* -1 (pow a 3))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow a 5)) (pow a 5)) b)) (pow a 4)) b)) (* -1 (pow a 3))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (+ (* -1 (pow a 5)) (pow a 5)))) (* -1 (pow a 6))) b)) (+ (* -1 (pow a 5)) (pow a 5))) b)) (pow a 4)) b)) (* -1 (pow a 3))) (pow b 2))
(pow a 2)
(+ (* -1 (* a b)) (pow a 2))
(+ (* b (+ b (* -1 a))) (pow a 2))
(+ (* b (+ b (* -1 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ a b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(+ (* -1 (* a b)) (pow b 2))
(+ (* a (+ a (* -1 b))) (pow b 2))
(+ (* a (+ a (* -1 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ b a))))
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))

Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 b (fma.f64 b (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 b (-.f64 (.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 a)))) (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 b (-.f64 (-.f64 (.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (.f64 b (fma.f64 (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (.f64 (sin.f64 (neg.f64 a)) (-.f64 (.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 a))))) (cos.f64 a))))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 a r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 a (fma.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 r (sin.f64 b))) (cos.f64 b))) (neg.f64 a) (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (-.f64 (.f64 (.f64 (neg.f64 r) (/.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 (sin.f64 (neg.f64 b)) (/.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 r (sin.f64 b))) (cos.f64 b))) (cos.f64 b)))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 r (sin.f64 b))) (cos.f64 b))))) (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
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(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(fma.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(fma.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(fma.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(fma.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(fma.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
(- (* (cos b) (+ 1 (* -1/2 (pow a 2)))) (* (sin a) (sin b)))
(fma.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 b) a) (.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 b))) (cos.f64 b))
(* -1/2 (* (pow a 2) (cos b)))
(.f64 (cos.f64 b) (.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))
(.f64 (.f64 a a) (-.f64 (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (/.f64 (cos.f64 b) (.f64 a a))) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 a a))))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))
(.f64 (.f64 a a) (-.f64 (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (/.f64 (cos.f64 b) (.f64 a a))) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 a a))))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))
(.f64 (.f64 a a) (-.f64 (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (/.f64 (cos.f64 b) (.f64 a a))) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 a a))))
(* -1/2 (* (pow a 2) (cos b)))
(.f64 (cos.f64 b) (.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))
(.f64 (.f64 a a) (-.f64 (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (/.f64 (cos.f64 b) (.f64 a a))) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 a a))))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))
(.f64 (.f64 a a) (-.f64 (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (/.f64 (cos.f64 b) (.f64 a a))) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 a a))))
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (* (sin a) (sin b)) (pow a 2))))
(.f64 (.f64 a a) (-.f64 (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (/.f64 (cos.f64 b) (.f64 a a))) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 a a))))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (.f64 b b) (.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(fma.f64 (.f64 a a) (.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(fma.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (*.f64 b (neg.f64 b)))
(* (pow a 3) (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (/.f64 a (.f64 b (.f64 b (neg.f64 b)))) (/.f64 #s(literal -1 binary64) (.f64 b b))))
(* (pow a 3) (- (* a (- (/ (pow a 2) (pow b 5)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 a (+.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(* (pow a 3) (- (* a (- (* (pow a 2) (+ (/ 1 (pow b 5)) (/ a (pow b 6)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 a (fma.f64 (.f64 a a) (+.f64 (/.f64 a (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(* -1 a)
(neg.f64 a)
(* a (- (* -1 (/ b a)) 1))
(neg.f64 (fma.f64 a (/.f64 b a) a))
(* a (- (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2))) (+ 1 (/ b a))))
(.f64 a (-.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(* a (- (* -1 (/ (+ (* -1 (pow b 3)) (* b (+ (* -1 (pow b 2)) (pow b 2)))) (pow a 3))) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ b a) (/ (pow b 2) (pow a 2)))))))
(.f64 a (-.f64 (neg.f64 (/.f64 (fma.f64 b #s(literal 0 binary64) (.f64 b (.f64 b (neg.f64 b)))) (.f64 a (.f64 a a)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 b a) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 b b) (*.f64 a a))))))
(* -1 a)
(neg.f64 a)
(* -1 (* a (+ 1 (/ b a))))
(neg.f64 (fma.f64 a (/.f64 b a) a))
(* -1 (* a (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) b) a)))))
(neg.f64 (fma.f64 (neg.f64 a) (/.f64 b (neg.f64 a)) a))
(* -1 (* a (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 (/ (pow b 3) a))) (+ (* -1 (pow b 2)) (pow b 2))) a)) b) a)))))
(neg.f64 (fma.f64 a (/.f64 (-.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 b (.f64 b b)) a)) (fma.f64 b (/.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) (neg.f64 a)) b) (neg.f64 a)) a))
(* -1 a)
(neg.f64 a)
(+ (* -1 a) (* -1 b))
(-.f64 (neg.f64 b) a)
(+ (* -1 a) (* b (- (/ (pow b 2) (pow a 2)) 1)))
(-.f64 (fma.f64 b (/.f64 (.f64 b b) (.f64 a a)) (neg.f64 b)) a)
(+ (* -1 a) (* b (- (* (pow b 2) (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) 1)))
(fma.f64 b (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 b (.f64 a (.f64 a a)))) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (*.f64 b (neg.f64 b)))
(/ (+ (* -1 (/ (pow a 4) b)) (* -1 (pow a 3))) (pow b 2))
(/.f64 (neg.f64 (fma.f64 a (.f64 a a) (/.f64 (pow.f64 a #s(literal 4 binary64)) b))) (.f64 b b))
(/ (+ (* -1 (/ (pow a 4) b)) (+ (* -1 (/ (pow a 5) (pow b 2))) (+ (* -1 (pow a 3)) (/ (pow a 5) (pow b 2))))) (pow b 2))
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) b)) (*.f64 b b))
(/ (+ (* -1 (/ (pow a 4) b)) (+ (* -1 (/ (pow a 5) (pow b 2))) (+ (* -1 (pow a 3)) (+ (/ (* a (+ (* -1 (pow a 5)) (pow a 5))) (pow b 3)) (+ (/ (pow a 5) (pow b 2)) (/ (pow a 6) (pow b 3))))))) (pow b 2))
(/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 a (.f64 (neg.f64 a) a) (fma.f64 a (/.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (/.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 b b)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 b (.f64 b b)))) (/.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) b)) (.f64 b b))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (*.f64 b (neg.f64 b)))
(/ (+ (* -1 (/ (pow a 4) b)) (* -1 (pow a 3))) (pow b 2))
(/.f64 (neg.f64 (fma.f64 a (.f64 a a) (/.f64 (pow.f64 a #s(literal 4 binary64)) b))) (.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow a 5)) (pow a 5)) b)) (pow a 4)) b)) (* -1 (pow a 3))) (pow b 2))
(/.f64 (neg.f64 (fma.f64 a (.f64 a a) (/.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) b)) b))) (.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (+ (* -1 (pow a 5)) (pow a 5)))) (* -1 (pow a 6))) b)) (+ (* -1 (pow a 5)) (pow a 5))) b)) (pow a 4)) b)) (* -1 (pow a 3))) (pow b 2))
(/.f64 (neg.f64 (fma.f64 a (.f64 a a) (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (neg.f64 (/.f64 (-.f64 (.f64 a #s(literal 0 binary64)) (pow.f64 a #s(literal 6 binary64))) b)) b)) b))) (*.f64 b b))
(pow a 2)
(*.f64 a a)
(+ (* -1 (* a b)) (pow a 2))
(*.f64 a (-.f64 a b))
(+ (* b (+ b (* -1 a))) (pow a 2))
(fma.f64 b (-.f64 b a) (*.f64 a a))
(+ (* b (+ b (* -1 a))) (pow a 2))
(fma.f64 b (-.f64 b a) (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ a b))))
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 (.f64 a a) (.f64 b b))))
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 (.f64 a a) (.f64 b b))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ a b))))
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))))
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (/.f64 (*.f64 a a) b)) b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))))
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (/.f64 (*.f64 a a) b)) b)))
(pow b 2)
(*.f64 b b)
(+ (* -1 (* a b)) (pow b 2))
(*.f64 b (-.f64 b a))
(+ (* a (+ a (* -1 b))) (pow b 2))
(fma.f64 b (-.f64 b a) (*.f64 a a))
(+ (* a (+ a (* -1 b))) (pow b 2))
(fma.f64 b (-.f64 b a) (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ b a))))
(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))
(.f64 (.f64 a a) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))
(.f64 (.f64 a a) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ b a))))
(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))))
(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (/.f64 (*.f64 b b) a)) a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))))
(.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (/.f64 (*.f64 b b) a)) a)))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(.f64 b (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(.f64 b (fma.f64 (.f64 b b) (.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(.f64 b (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) (sin.f64 a) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(.f64 a (fma.f64 (.f64 a a) (.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (.f64 a a) #s(literal -1/6 binary64))) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (.f64 a a) #s(literal 1/120 binary64))))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))

eval212.0ms (1.6%)

Memory: -27.4MiB live, 341.6MiB allocated
Compiler: Compiled 35 794 to 3 530 computations (90.1% saved)

prune250.0ms (1.9%)

Memory

-4.8MiB live, 410.6MiB allocated

Pruning

83 alts after pruning (78 fresh and 5 done)

	Pruned	Kept	Total
New	1 112	31	1 143
Fresh	17	47	64
Picked	1	4	5
Done	0	1	1
Total	1 130	83	1 213

Accuracy

100.0%

Counts

1 213 → 83

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(/.f64 (.f64 r (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
▶	50.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
	61.0%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	51.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
	63.3%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
	53.1%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	33.0%	(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
	49.5%	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	49.4%	(/.f64 (*.f64 r b) (cos.f64 a))
	33.1%	(/.f64 r (/.f64 (cos.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 a (-.f64 a b) (*.f64 b b)))) (sin.f64 b)))
	78.3%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	63.4%	(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
	63.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) (/.f64 #s(literal 1 binary64) r)))
	98.8%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
	98.7%	(.f64 (/.f64 (.f64 r (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 (neg.f64 b))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))))
	78.2%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
	98.8%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))))
	78.4%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	78.0%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
	78.2%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	63.3%	(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
	63.4%	(*.f64 (tan.f64 b) r)
	78.2%	(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
	63.3%	(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r))
	33.8%	(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) b))
	33.7%	(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) b))
	33.8%	(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
	49.0%	(.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	77.8%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
	50.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
✓	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))
	64.3%	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))))
	54.6%	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))))
	60.9%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
	61.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
✓	61.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
	59.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
	64.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
	64.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	50.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (sin.f64 (neg.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
	18.6%	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))))
	34.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64))))
	35.2%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
	98.8%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))))
	98.7%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))))))
▶	99.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	61.0%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
	51.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (cos.f64 (-.f64 a b)) (.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	64.3%	(.f64 r (/.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	98.8%	(.f64 r (/.f64 (sin.f64 b) (.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (.f64 (.f64 (cos.f64 (-.f64 a b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	63.5%	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
	52.9%	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
	53.0%	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	33.0%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (fma.f64 b (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 b (.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (neg.f64 a)))))
	39.1%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 b (.f64 b b)) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))))
▶	16.2%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b (neg.f64 b))))))
	17.0%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 a b))))))))
	70.7%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))))
	66.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (neg.f64 (fma.f64 b (/.f64 a b) b)))))
	63.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (neg.f64 (fma.f64 a (/.f64 b a) a)))))
	20.6%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))))
✓	63.4%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	33.1%	(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
	49.4%	(*.f64 r (/.f64 b (cos.f64 a)))
	78.3%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
▶	63.4%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b))))
	78.3%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	49.4%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
	38.3%	(*.f64 r (sin.f64 b))
✓	34.1%	(*.f64 r b)
	33.8%	(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
	26.5%	(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
▶	27.1%	(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
	33.1%	(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	32.9%	(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	33.1%	(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	49.4%	(*.f64 b (/.f64 r (cos.f64 a)))
	49.4%	(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
	49.4%	(.f64 b (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))))

Compiler

Compiled 3 359 to 2 053 computations (38.9% saved)

simplify598.0ms (4.5%)

Memory

12.5MiB live, 689.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
✓	cost-diff	6080	(fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (*.f64 b (neg.f64 b)))))
✓	cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b (neg.f64 b))))))
✓	cost-diff	128	(cos.f64 (/.f64 (.f64 a (.f64 a a)) (*.f64 b (neg.f64 b))))
✓	cost-diff	0	(tan.f64 b)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 b))
✓	cost-diff	0	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 (.f64 a a) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64)) r)
✓	cost-diff	0	(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
✓	cost-diff	0	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
✓	cost-diff	0	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))

Rules

23 640×	`lower-fma.f32`
23 636×	`lower-fma.f64`
3 228×	`lower-*.f32`
3 202×	`lower-*.f64`
2 088×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	249
0	68	231
1	130	231
2	243	228
3	564	228
4	971	228
5	1391	228
6	2189	228
7	2988	228
8	4335	228
9	5380	228
10	5795	228
11	6026	228
12	6325	228
13	6589	228
14	6792	228
15	7293	228
16	7353	228
17	7356	228
18	7357	228
19	7357	228
20	7357	228
0	8139	228

Stop Event

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

Calls

Call 1

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

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

localize273.0ms (2.1%)

Memory

22.4MiB live, 334.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
✓	accuracy	99.9%	(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	93.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
✓	accuracy	99.8%	(/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (*.f64 b (neg.f64 b)))))
✓	accuracy	99.7%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b (neg.f64 b))))))
✓	accuracy	78.4%	(/.f64 (.f64 a (.f64 a a)) (*.f64 b (neg.f64 b)))
✓	accuracy	55.7%	(cos.f64 (/.f64 (.f64 a (.f64 a a)) (*.f64 b (neg.f64 b))))
✓	accuracy	100.0%	(tan.f64 b)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (tan.f64 b))
✓	accuracy	99.8%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(.f64 (.f64 a a) #s(literal 1/2 binary64))
✓	accuracy	96.7%	(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
✓	accuracy	94.1%	(fma.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64)) r)
✓	accuracy	99.9%	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
✓	accuracy	99.7%	(*.f64 (sin.f64 b) (sin.f64 a))
✓	accuracy	99.7%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	accuracy	99.6%	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))

Samples

84.0ms	111×	1	valid
45.0ms	136×	0	valid
7.0ms	9×	2	valid

Compiler

Compiled 255 to 40 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 32.0ms (30.1% of total)

ival-cos: 25.0ms (23.5% of total)

ival-sin: 18.0ms (16.9% of total)

ival-div: 12.0ms (11.3% of total)

adjust: 6.0ms (5.6% of total)

ival-tan: 5.0ms (4.7% of total)

ival-sub: 3.0ms (2.8% of total)

ival-add: 3.0ms (2.8% of total)

ival-neg: 1.0ms (0.9% of total)

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

exact: 0.0ms (0% of total)

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

series75.0ms (0.6%)

Memory

-1.0MiB live, 77.3MiB allocated

Counts

21 → 480

Calls

Call 1

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

Outputs
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (* b (+ r (* 1/2 (* (pow a 2) r))))>
#<alt (* b (+ r (* 1/2 (* (pow a 2) r))))>
#<alt (* b (+ r (* 1/2 (* (pow a 2) r))))>
#<alt (* b (+ r (* 1/2 (* (pow a 2) r))))>
#<alt (* b (+ r (* 1/2 (* (pow a 2) r))))>
#<alt (* b (+ r (* 1/2 (* (pow a 2) r))))>
#<alt (* b (+ r (* 1/2 (* (pow a 2) r))))>
#<alt (* b (+ r (* 1/2 (* (pow a 2) r))))>
#<alt (* b (+ r (* 1/2 (* (pow a 2) r))))>
#<alt (* b (+ r (* 1/2 (* (pow a 2) r))))>
#<alt (* b (+ r (* 1/2 (* (pow a 2) r))))>
#<alt (* b (+ r (* 1/2 (* (pow a 2) r))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))>
#<alt (* -1 (* b (* r (- (* -1/2 (pow a 2)) 1))))>
#<alt (* -1 (* b (* r (- (* -1/2 (pow a 2)) 1))))>
#<alt (* -1 (* b (* r (- (* -1/2 (pow a 2)) 1))))>
#<alt (* -1 (* b (* r (- (* -1/2 (pow a 2)) 1))))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (* 1/2 (* (pow a 2) (* b r)))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* 1/2 (* (pow a 2) (* b r)))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))>
#<alt (* r (+ 1 (* 1/2 (pow a 2))))>
#<alt (* r (+ 1 (* 1/2 (pow a 2))))>
#<alt (* r (+ 1 (* 1/2 (pow a 2))))>
#<alt (* r (+ 1 (* 1/2 (pow a 2))))>
#<alt (* r (+ 1 (* 1/2 (pow a 2))))>
#<alt (* r (+ 1 (* 1/2 (pow a 2))))>
#<alt (* r (+ 1 (* 1/2 (pow a 2))))>
#<alt (* r (+ 1 (* 1/2 (pow a 2))))>
#<alt (* -1 (* r (- (* -1/2 (pow a 2)) 1)))>
#<alt (* -1 (* r (- (* -1/2 (pow a 2)) 1)))>
#<alt (* -1 (* r (- (* -1/2 (pow a 2)) 1)))>
#<alt (* -1 (* r (- (* -1/2 (pow a 2)) 1)))>
#<alt r>
#<alt (+ r (* 1/2 (* (pow a 2) r)))>
#<alt (+ r (* 1/2 (* (pow a 2) r)))>
#<alt (+ r (* 1/2 (* (pow a 2) r)))>
#<alt (* 1/2 (* (pow a 2) r))>
#<alt (* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))>
#<alt (* 1/2 (* (pow a 2) r))>
#<alt (* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (* 1/2 (pow a 2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt b>
#<alt (* b (+ 1 (* 1/3 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))>
#<alt (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (* b r)>
#<alt (* b (+ r (* 1/3 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))>
#<alt (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1/3 (pow b 2))) b)>
#<alt (/ (+ 1 (* (pow b 2) (- (* -1/45 (pow b 2)) 1/3))) b)>
#<alt (/ (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (pow b 2)) 1/45)) 1/3))) b)>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt (/ (cos b) (sin b))>
#<alt b>
#<alt (* b (+ 1 (* 1/3 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))>
#<alt (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt (/ (sin b) (cos b))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow a 6) (pow b 4))))>
#<alt (+ 1 (* (pow a 6) (- (* 1/24 (/ (pow a 6) (pow b 8))) (* 1/2 (/ 1 (pow b 4))))))>
#<alt (+ 1 (* (pow a 6) (- (* (pow a 6) (+ (* -1/720 (/ (pow a 6) (pow b 12))) (* 1/24 (/ 1 (pow b 8))))) (* 1/2 (/ 1 (pow b 4))))))>
#<alt (cos (* -1 (/ (pow a 3) (pow b 2))))>
#<alt (cos (* -1 (/ (pow a 3) (pow b 2))))>
#<alt (cos (* -1 (/ (pow a 3) (pow b 2))))>
#<alt (cos (* -1 (/ (pow a 3) (pow b 2))))>
#<alt (cos (* -1 (/ (pow a 3) (pow b 2))))>
#<alt (cos (* -1 (/ (pow a 3) (pow b 2))))>
#<alt (cos (* -1 (/ (pow a 3) (pow b 2))))>
#<alt (cos (* -1 (/ (pow a 3) (pow b 2))))>
#<alt (cos (* -1 (/ (pow a 3) (pow b 2))))>
#<alt (cos (* -1 (/ (pow a 3) (pow b 2))))>
#<alt (cos (* -1 (/ (pow a 3) (pow b 2))))>
#<alt (cos (* -1 (/ (pow a 3) (pow b 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow a 6) (pow b 4))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow a 6) (pow b 4))) (* 1/24 (/ (pow a 12) (pow b 8)))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow a 6) (pow b 4))) (+ (* -1/720 (/ (pow a 18) (pow b 12))) (* 1/24 (/ (pow a 12) (pow b 8))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow a 6) (pow b 4))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow a 6) (pow b 4))) (* 1/24 (/ (pow a 12) (pow b 8)))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow a 6) (pow b 4))) (+ (* -1/720 (/ (pow a 18) (pow b 12))) (* 1/24 (/ (pow a 12) (pow b 8))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* b r) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (* b (+ (* -1/6 (/ (* (pow b 2) r) (cos (* -1 (/ (pow a 3) (pow b 2)))))) (/ r (cos (* -1 (/ (pow a 3) (pow b 2)))))))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos (* -1 (/ (pow a 3) (pow b 2)))))) (* 1/120 (/ (* (pow b 2) r) (cos (* -1 (/ (pow a 3) (pow b 2)))))))) (/ r (cos (* -1 (/ (pow a 3) (pow b 2)))))))>
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos (* -1 (/ (pow a 3) (pow b 2)))))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos (* -1 (/ (pow a 3) (pow b 2)))))) (* 1/120 (/ r (cos (* -1 (/ (pow a 3) (pow b 2)))))))))) (/ r (cos (* -1 (/ (pow a 3) (pow b 2)))))))>
#<alt (* r (sin b))>
#<alt (+ (* 1/2 (/ (* (pow a 6) (* r (sin b))) (pow b 4))) (* r (sin b)))>
#<alt (- (+ (* -1 (/ (+ (* -1/4 (* (pow a 12) (* r (sin b)))) (* 1/24 (* (pow a 12) (* r (sin b))))) (pow b 8))) (* r (sin b))) (* -1/2 (/ (* (pow a 6) (* r (sin b))) (pow b 4))))>
#<alt (- (+ (* -1 (/ (+ (* -1/720 (* (pow a 18) (* r (sin b)))) (+ (* 1/48 (* (pow a 18) (* r (sin b)))) (* 1/2 (* (pow a 6) (+ (* -1/4 (* (pow a 12) (* r (sin b)))) (* 1/24 (* (pow a 12) (* r (sin b))))))))) (pow b 12))) (* r (sin b))) (+ (* -1/2 (/ (* (pow a 6) (* r (sin b))) (pow b 4))) (+ (* -1/4 (/ (* (pow a 12) (* r (sin b))) (pow b 8))) (* 1/24 (/ (* (pow a 12) (* r (sin b))) (pow b 8))))))>
#<alt (* r (sin b))>
#<alt (+ (* 1/2 (/ (* (pow a 6) (* r (sin b))) (pow b 4))) (* r (sin b)))>
#<alt (- (+ (* -1 (/ (+ (* -1/4 (* (pow a 12) (* r (sin b)))) (* 1/24 (* (pow a 12) (* r (sin b))))) (pow b 8))) (* r (sin b))) (* -1/2 (/ (* (pow a 6) (* r (sin b))) (pow b 4))))>
#<alt (- (+ (* -1 (/ (+ (* -1/720 (* (pow a 18) (* r (sin b)))) (+ (* 1/48 (* (pow a 18) (* r (sin b)))) (* 1/2 (* (pow a 6) (+ (* -1/4 (* (pow a 12) (* r (sin b)))) (* 1/24 (* (pow a 12) (* r (sin b))))))))) (pow b 12))) (* r (sin b))) (+ (* -1/2 (/ (* (pow a 6) (* r (sin b))) (pow b 4))) (+ (* -1/4 (/ (* (pow a 12) (* r (sin b))) (pow b 8))) (* 1/24 (/ (* (pow a 12) (* r (sin b))) (pow b 8))))))>
#<alt (* r (sin b))>
#<alt (+ (* 1/2 (/ (* (pow a 6) (* r (sin b))) (pow b 4))) (* r (sin b)))>
#<alt (+ (* r (sin b)) (* (pow a 6) (- (* -1 (* (pow a 6) (+ (* -1/4 (/ (* r (sin b)) (pow b 8))) (* 1/24 (/ (* r (sin b)) (pow b 8)))))) (* -1/2 (/ (* r (sin b)) (pow b 4))))))>
#<alt (+ (* r (sin b)) (* (pow a 6) (- (* (pow a 6) (- (* -1 (* (pow a 6) (+ (* -1/720 (/ (* r (sin b)) (pow b 12))) (+ (* 1/48 (/ (* r (sin b)) (pow b 12))) (* 1/2 (/ (+ (* -1/4 (/ (* r (sin b)) (pow b 8))) (* 1/24 (/ (* r (sin b)) (pow b 8)))) (pow b 4))))))) (+ (* -1/4 (/ (* r (sin b)) (pow b 8))) (* 1/24 (/ (* r (sin b)) (pow b 8)))))) (* -1/2 (/ (* r (sin b)) (pow b 4))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ b (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (* b (+ (* -1/6 (/ (pow b 2) (cos (* -1 (/ (pow a 3) (pow b 2)))))) (/ 1 (cos (* -1 (/ (pow a 3) (pow b 2)))))))>
#<alt (* b (+ (* (pow b 2) (- (* 1/120 (/ (pow b 2) (cos (* -1 (/ (pow a 3) (pow b 2)))))) (* 1/6 (/ 1 (cos (* -1 (/ (pow a 3) (pow b 2)))))))) (/ 1 (cos (* -1 (/ (pow a 3) (pow b 2)))))))>
#<alt (* b (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1/5040 (/ (pow b 2) (cos (* -1 (/ (pow a 3) (pow b 2)))))) (* 1/120 (/ 1 (cos (* -1 (/ (pow a 3) (pow b 2)))))))) (* 1/6 (/ 1 (cos (* -1 (/ (pow a 3) (pow b 2)))))))) (/ 1 (cos (* -1 (/ (pow a 3) (pow b 2)))))))>
#<alt (sin b)>
#<alt (+ (sin b) (* 1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))>
#<alt (- (+ (sin b) (* -1 (/ (+ (* -1/4 (* (pow a 12) (sin b))) (* 1/24 (* (pow a 12) (sin b)))) (pow b 8)))) (* -1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))>
#<alt (- (+ (sin b) (* -1 (/ (+ (* -1/720 (* (pow a 18) (sin b))) (+ (* 1/48 (* (pow a 18) (sin b))) (* 1/2 (* (pow a 6) (+ (* -1/4 (* (pow a 12) (sin b))) (* 1/24 (* (pow a 12) (sin b)))))))) (pow b 12)))) (+ (* -1/2 (/ (* (pow a 6) (sin b)) (pow b 4))) (+ (* -1/4 (/ (* (pow a 12) (sin b)) (pow b 8))) (* 1/24 (/ (* (pow a 12) (sin b)) (pow b 8))))))>
#<alt (sin b)>
#<alt (+ (sin b) (* 1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))>
#<alt (- (+ (sin b) (* -1 (/ (+ (* -1/4 (* (pow a 12) (sin b))) (* 1/24 (* (pow a 12) (sin b)))) (pow b 8)))) (* -1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))>
#<alt (- (+ (sin b) (* -1 (/ (+ (* -1/720 (* (pow a 18) (sin b))) (+ (* 1/48 (* (pow a 18) (sin b))) (* 1/2 (* (pow a 6) (+ (* -1/4 (* (pow a 12) (sin b))) (* 1/24 (* (pow a 12) (sin b)))))))) (pow b 12)))) (+ (* -1/2 (/ (* (pow a 6) (sin b)) (pow b 4))) (+ (* -1/4 (/ (* (pow a 12) (sin b)) (pow b 8))) (* 1/24 (/ (* (pow a 12) (sin b)) (pow b 8))))))>
#<alt (sin b)>
#<alt (+ (sin b) (* 1/2 (/ (* (pow a 6) (sin b)) (pow b 4))))>
#<alt (+ (sin b) (* (pow a 6) (- (* -1 (* (pow a 6) (+ (* -1/4 (/ (sin b) (pow b 8))) (* 1/24 (/ (sin b) (pow b 8)))))) (* -1/2 (/ (sin b) (pow b 4))))))>
#<alt (+ (sin b) (* (pow a 6) (- (* (pow a 6) (- (* -1 (* (pow a 6) (+ (* -1/720 (/ (sin b) (pow b 12))) (+ (* 1/48 (/ (sin b) (pow b 12))) (* 1/2 (/ (+ (* -1/4 (/ (sin b) (pow b 8))) (* 1/24 (/ (sin b) (pow b 8)))) (pow b 4))))))) (+ (* -1/4 (/ (sin b) (pow b 8))) (* 1/24 (/ (sin b) (pow b 8)))))) (* -1/2 (/ (sin b) (pow b 4))))))>
#<alt (/ (sin b) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (sin b) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (sin b) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (sin b) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (sin b) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (sin b) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (sin b) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (/ (sin b) (cos (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))>
#<alt (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))>
#<alt (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))>
#<alt (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))>
#<alt (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (* -1/2 (/ (* r (sin a)) (pow (cos a) 2)))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))>
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))>
#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3)))) (pow b 2)))) (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))>
#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* -8 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2))) (* -2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (cos a)))) (pow b 3)))) (+ (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow b 2) (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* (pow b 2) (pow (cos a) 3))))))) (pow b 2))>
#<alt (* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))>
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))>
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* b (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* b (pow (cos a) 3))))) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2))>
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (* b (cos a)))) (* 8 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) b)) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2))>
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))>
#<alt (+ (/ (* a (* b (* r (sin b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* 1/6 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (/ (* b (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2)))) (pow (+ 1 (* -1/2 (pow b 2))) 3)) (/ (* b (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1 (/ (pow a 3) (pow b 2)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 b)>
#<alt (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))>
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))>
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>

Calls

120 calls:

Time	Variable		Point	Expression
31.0ms	a	@	inf	(+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a))
3.0ms	r	@	0	(* b (+ (* r (* (* a a) 1/2)) r))
2.0ms	r	@	0	(* r (/ (sin b) (cos (/ (* a (* a a)) (* b (neg b))))))
1.0ms	r	@	0	(/ (* r (sin b)) (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)))
1.0ms	b	@	inf	(/ (* r (sin b)) (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)))

rewrite292.0ms (2.2%)

Memory

3.4MiB live, 523.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 186×	`lower-/.f32`
5 174×	`lower-/.f64`
4 956×	`lower-*.f32`
4 930×	`lower-*.f64`
2 972×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	186
0	68	170
1	228	149
2	1430	146
0	8571	146

Stop Event

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

Counts

21 → 586

Calls

Call 1

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

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

simplify420.0ms (3.2%)

Memory

16.7MiB live, 685.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 184×	`lower-fma.f64`
9 184×	`lower-fma.f32`
7 626×	`lower-*.f64`
7 626×	`lower-*.f32`
3 432×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	714	6951
1	2301	6689
2	7528	6671
0	8115	6394

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 476

Calls

Call 1

Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
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r
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b
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1
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1
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1
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(* r (sin b))
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(* r (sin b))
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(sin b)
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(sin b)
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(cos a)
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(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (* -1/2 (/ (* r (sin a)) (pow (cos a) 2)))))) (* -1/6 (/ r (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))))
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))
(/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3)))) (pow b 2)))) (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))
(/ (- (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (+ (* -8 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2))) (* -2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (cos a)))) (pow b 3)))) (+ (* -4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow b 2) (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* (pow b 2) (pow (cos a) 3))))))) (pow b 2))
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* 4 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (pow b 2))
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* b (cos a)))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (* b (pow (cos a) 3))))) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2))
(/ (+ (* -2 (/ (* r (sin b)) (cos a))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin a) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) (* b (cos a)))) (* 8 (/ (* r (* (sin a) (sin b))) (* b (pow (cos a) 2))))) (+ (* 4 (/ (* r (sin b)) (cos a))) (* 8 (/ (* r (* (pow (sin a) 2) (sin b))) (pow (cos a) 3))))) b)) (* 4 (/ (* r (* (sin a) (sin b))) (pow (cos a) 2)))) b))) (pow b 2))
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))
(+ (/ (* a (* b (* r (sin b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))
(+ (* a (- (* a (- (* -1 (* a (+ (* 1/6 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (+ (/ (* b (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2)))) (pow (+ 1 (* -1/2 (pow b 2))) 3)) (/ (* b (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (+ 1 (* -1/2 (pow b 2)))))))) (+ (* -1 (/ (* (pow b 2) (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (/ (* r (* (sin b) (- (* 1/4 (pow b 2)) 1/2))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (* -1 (/ (* b (* r (sin b))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(/ (* r (sin b)) (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1 (/ (pow a 3) (pow b 2)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))

Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 b (fma.f64 (.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (.f64 b (-.f64 (.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (.f64 b (-.f64 (-.f64 (.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (.f64 b (-.f64 (/.f64 (.f64 (.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a))))))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 (fma.f64 r (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 a) (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (fma.f64 r (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (fma.f64 r (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
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(.f64 a (fma.f64 (.f64 a a) (.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (.f64 a a) #s(literal -1/6 binary64))) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (.f64 a a) #s(literal 1/120 binary64)))))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1 (/ (pow a 3) (pow b 2)))
(/.f64 (.f64 a (.f64 a a)) (neg.f64 (*.f64 b b)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 b)
(*.f64 b #s(literal -1/2 binary64))
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(.f64 b (fma.f64 #s(literal 1/4 binary64) (.f64 a a) #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(fma.f64 (.f64 a a) (.f64 b (fma.f64 #s(literal -1/48 binary64) (.f64 a a) #s(literal 1/4 binary64))) (.f64 b #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 b (fma.f64 #s(literal 1/1440 binary64) (.f64 a a) #s(literal -1/48 binary64))) (.f64 b #s(literal 1/4 binary64))) (.f64 b #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))

eval201.0ms (1.5%)

Memory: -15.6MiB live, 311.9MiB allocated
Compiler: Compiled 24 390 to 2 719 computations (88.9% saved)

prune349.0ms (2.6%)

Memory

-2.6MiB live, 511.8MiB allocated

Pruning

100 alts after pruning (92 fresh and 8 done)

	Pruned	Kept	Total
New	1 089	27	1 116
Fresh	8	65	73
Picked	2	3	5
Done	0	5	5
Total	1 099	100	1 199

Accuracy

100.0%

Counts

1 199 → 100

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.0%	(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) b) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r))
	49.5%	(/.f64 (.f64 r (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
	49.0%	(/.f64 (.f64 r (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
	61.0%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	51.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
	16.2%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b b))))
	63.3%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
	53.1%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	50.2%	(/.f64 (.f64 r b) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
	33.0%	(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
	49.4%	(/.f64 (*.f64 r b) (cos.f64 a))
	16.1%	(/.f64 r (/.f64 (cos.f64 (/.f64 (.f64 a (.f64 a a)) (*.f64 b b))) (sin.f64 b)))
	78.3%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	63.4%	(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
	78.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
	63.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 b)) (*.f64 r #s(literal -1 binary64))))
	63.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
	63.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) (/.f64 #s(literal 1 binary64) r)))
	98.8%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
	98.7%	(.f64 (/.f64 (.f64 r (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 (neg.f64 b))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))))
	78.2%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))
	98.8%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))))
	78.4%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	78.2%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	63.3%	(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
	12.8%	(.f64 (.f64 r b) (.f64 #s(literal 1/2 binary64) (.f64 a a)))
	63.4%	(*.f64 (tan.f64 b) r)
	78.2%	(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
	63.3%	(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r))
	33.8%	(.f64 r (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 b (*.f64 b b)) b))
	33.8%	(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
	36.1%	(.f64 r (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1/2 binary64)))
	49.0%	(.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	77.8%	(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
	50.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
✓	99.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))
	64.3%	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))))
	54.6%	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))))
	60.9%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
	61.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
✓	61.0%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
	59.4%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
	64.5%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
	64.3%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
	50.7%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (sin.f64 (neg.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
	18.6%	(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))))
	35.2%	(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
	98.8%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))))
	98.7%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))))))
	86.9%	(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) (sin.f64 a)))))))
✓	99.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	61.0%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
	51.5%	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (cos.f64 (-.f64 a b)) (.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	64.3%	(.f64 r (/.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	99.4%	(.f64 r (/.f64 (sin.f64 b) (.f64 (.f64 (cos.f64 (-.f64 a b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	63.5%	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
	52.9%	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
	53.0%	(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
	33.0%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (fma.f64 b (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 b (.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (neg.f64 a)))))
	39.1%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 b (.f64 b b)) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))))
	17.0%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 a b))))))))
	70.7%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))))
	8.8%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (neg.f64 b)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) b)))))
	24.3%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 a b) (*.f64 a (/.f64 a (neg.f64 b)))))))
	16.8%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (.f64 a a) (/.f64 a (neg.f64 (.f64 b b)))))))
	66.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (neg.f64 (fma.f64 b (/.f64 a b) b)))))
	63.0%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (neg.f64 (fma.f64 a (/.f64 b a) a)))))
	20.6%	(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))))
✓	63.4%	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
	33.1%	(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
	49.4%	(*.f64 r (/.f64 b (cos.f64 a)))
	30.6%	(*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	36.5%	(.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 b) (tan.f64 b)) #s(literal -1/2 binary64))))
	34.7%	(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
	34.7%	(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 (*.f64 b b) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) b)))
	34.9%	(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
	78.3%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
✓	63.4%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b))))
	34.0%	(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
	63.3%	(.f64 r (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 b))))
	78.3%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	49.4%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
	38.3%	(*.f64 r (sin.f64 b))
✓	34.1%	(*.f64 r b)
	33.8%	(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
	26.5%	(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
✓	27.1%	(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
	33.7%	(.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 b (.f64 b #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) r))
	19.8%	(.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r)))
	33.1%	(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	32.9%	(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	33.1%	(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	49.4%	(*.f64 b (/.f64 r (cos.f64 a)))
	49.4%	(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
	19.7%	(.f64 b (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64))) r))))
	49.4%	(.f64 b (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))))
	10.5%	(.f64 b (.f64 r (.f64 #s(literal 1/2 binary64) (.f64 a a))))

Compiler

Compiled 4 707 to 1 834 computations (61% saved)

regimes382.0ms (2.9%)

Memory

11.8MiB live, 334.0MiB allocated

Counts

146 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(.f64 b (.f64 r (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(.f64 (.f64 r b) (.f64 #s(literal 1/2 binary64) (.f64 a a)))
(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
(.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 b (.f64 b #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) r))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) b))
(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) b))
(.f64 r (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 b (*.f64 b b)) b))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 (*.f64 b b) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) b) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r))
(.f64 b (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64))) r))))
(*.f64 r (sin.f64 b))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 r (/.f64 (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 b)) (*.f64 r #s(literal -1 binary64))))
(.f64 r (/.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) r)) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (fma.f64 (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r))
(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(.f64 r (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 b))))
(.f64 b (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (neg.f64 (fma.f64 a (/.f64 b a) a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (neg.f64 (fma.f64 b (/.f64 a b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (.f64 a a) (/.f64 a (neg.f64 (.f64 b b)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b (neg.f64 b))))))
(/.f64 r (/.f64 (cos.f64 (/.f64 (.f64 a (.f64 a a)) (*.f64 b b))) (sin.f64 b)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 a b) (*.f64 a (/.f64 a (neg.f64 b)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 b (.f64 b b)) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))))
(/.f64 r (/.f64 (cos.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 a (-.f64 a b) (*.f64 b b)))) (sin.f64 b)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 a b))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (fma.f64 b (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 b (.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (neg.f64 a)))))
(*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 b) (tan.f64 b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(.f64 r (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1/2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (sin.f64 (neg.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (.f64 r (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(.f64 r (/.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))))
(.f64 b (fma.f64 r (/.f64 (.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (neg.f64 b)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) (.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (.f64 (cos.f64 (-.f64 a b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (cos.f64 (-.f64 a b)) (.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) (sin.f64 a)))))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (.f64 r (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 (neg.f64 b))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
(.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))))))

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

Calls

5 calls:

95.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
91.0ms	b
76.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
68.0ms	a
44.0ms	r

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes325.0ms (2.5%)

Memory

-28.9MiB live, 250.7MiB allocated

Counts

127 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(.f64 b (.f64 r (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(.f64 (.f64 r b) (.f64 #s(literal 1/2 binary64) (.f64 a a)))
(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
(.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 b (.f64 b #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) r))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) b))
(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) b))
(.f64 r (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 b (*.f64 b b)) b))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 (*.f64 b b) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) b) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r))
(.f64 b (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64))) r))))
(*.f64 r (sin.f64 b))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 r (/.f64 (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 b)) (*.f64 r #s(literal -1 binary64))))
(.f64 r (/.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) r)) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (fma.f64 (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r))
(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(.f64 r (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 b))))
(.f64 b (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (neg.f64 (fma.f64 a (/.f64 b a) a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (neg.f64 (fma.f64 b (/.f64 a b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (.f64 a a) (/.f64 a (neg.f64 (.f64 b b)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b (neg.f64 b))))))
(/.f64 r (/.f64 (cos.f64 (/.f64 (.f64 a (.f64 a a)) (*.f64 b b))) (sin.f64 b)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 a b) (*.f64 a (/.f64 a (neg.f64 b)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 b (.f64 b b)) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))))
(/.f64 r (/.f64 (cos.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 a (-.f64 a b) (*.f64 b b)))) (sin.f64 b)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 a b))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (fma.f64 b (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 b (.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (neg.f64 a)))))
(*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 b) (tan.f64 b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(.f64 r (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1/2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (sin.f64 (neg.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (.f64 r (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(.f64 r (/.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))))
(.f64 b (fma.f64 r (/.f64 (.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (neg.f64 b)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) (.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))

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

Calls

5 calls:

92.0ms	b
70.0ms	r
56.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
42.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
32.0ms	a

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes256.0ms (1.9%)

Memory

-15.6MiB live, 238.1MiB allocated

Counts

125 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(.f64 b (.f64 r (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(.f64 (.f64 r b) (.f64 #s(literal 1/2 binary64) (.f64 a a)))
(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
(.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 b (.f64 b #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) r))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) b))
(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) b))
(.f64 r (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 b (*.f64 b b)) b))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 (*.f64 b b) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) b) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r))
(.f64 b (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64))) r))))
(*.f64 r (sin.f64 b))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 r (/.f64 (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 b)) (*.f64 r #s(literal -1 binary64))))
(.f64 r (/.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) r)) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (fma.f64 (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r))
(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (sin.f64 b) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (sin.f64 (neg.f64 b)) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(.f64 r (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 b))))
(.f64 b (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (neg.f64 (fma.f64 a (/.f64 b a) a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (neg.f64 (fma.f64 b (/.f64 a b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (.f64 a a) (/.f64 a (neg.f64 (.f64 b b)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b (neg.f64 b))))))
(/.f64 r (/.f64 (cos.f64 (/.f64 (.f64 a (.f64 a a)) (*.f64 b b))) (sin.f64 b)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 a b) (*.f64 a (/.f64 a (neg.f64 b)))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 b (.f64 b b)) (neg.f64 (fma.f64 b b (.f64 a (-.f64 a b))))))))
(/.f64 r (/.f64 (cos.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 a (-.f64 a b) (*.f64 b b)))) (sin.f64 b)))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (.f64 a (.f64 a a)) (neg.f64 (.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 a b))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (fma.f64 b (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 b (.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (neg.f64 a)))))
(*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 b) (tan.f64 b)) #s(literal -1/2 binary64))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(.f64 r (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1/2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (sin.f64 (neg.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (cos.f64 b) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (.f64 r (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 b (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) a)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(.f64 r (/.f64 (sin.f64 b) (.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))))
(.f64 b (fma.f64 r (/.f64 (.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))))
(.f64 r (/.f64 (sin.f64 b) (cos.f64 (.f64 (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (neg.f64 b)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) b)))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
(.f64 r (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) (.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64))))

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

Calls

5 calls:

78.0ms	b
43.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
43.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
42.0ms	a
39.0ms	r

Results

Accuracy	Segments	Branch
78.4%	1	`r`
78.4%	1	`a`
78.4%	1	`b`
78.4%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
78.4%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes77.0ms (0.6%)

Memory

13.9MiB live, 169.4MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(.f64 b (.f64 r (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(.f64 (.f64 r b) (.f64 #s(literal 1/2 binary64) (.f64 a a)))
(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
(.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 b (.f64 b #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) r))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) b))
(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) b))
(.f64 r (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 b (*.f64 b b)) b))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 (*.f64 b b) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) b) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r))
(.f64 b (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64))) r))))
(*.f64 r (sin.f64 b))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 r (/.f64 (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 b)) (*.f64 r #s(literal -1 binary64))))
(.f64 r (/.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) r)) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (fma.f64 (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

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

Calls

5 calls:

16.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
15.0ms	r
15.0ms	b
15.0ms	a
14.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
78.3%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
78.3%	1	`a`
78.3%	1	`b`
78.3%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
78.3%	1	`r`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes122.0ms (0.9%)

Memory

-10.2MiB live, 147.3MiB allocated

Counts

49 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(.f64 b (.f64 r (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(.f64 (.f64 r b) (.f64 #s(literal 1/2 binary64) (.f64 a a)))
(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
(.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 b (.f64 b #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) r))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) b))
(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) b))
(.f64 r (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 b (*.f64 b b)) b))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 (*.f64 b b) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) b) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r))
(.f64 b (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64))) r))))
(*.f64 r (sin.f64 b))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
(.f64 r (/.f64 (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 b)) (*.f64 r #s(literal -1 binary64))))
(.f64 r (/.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b) (cos.f64 (+.f64 a b))))
(/.f64 (.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) r)) (cos.f64 (+.f64 b a)))
(.f64 r (/.f64 (fma.f64 (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))

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

Calls

5 calls:

41.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
31.0ms	b
16.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
14.0ms	r
13.0ms	a

Results

Accuracy	Segments	Branch
63.4%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
78.4%	3	`a`
78.6%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
63.4%	1	`r`
78.6%	3	`b`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes28.0ms (0.2%)

Memory

15.2MiB live, 54.0MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(.f64 b (.f64 r (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(.f64 (.f64 r b) (.f64 #s(literal 1/2 binary64) (.f64 a a)))
(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
(.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 b (.f64 b #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) r))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) b))
(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) b))
(.f64 r (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 b (*.f64 b b)) b))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 (*.f64 b b) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) b) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r))
(.f64 b (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64))) r))))
(*.f64 r (sin.f64 b))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 b))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))

Outputs
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (tan.f64 b) r)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
78.5%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
78.5%	3	`b`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes21.0ms (0.2%)

Memory

7.8MiB live, 46.4MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(.f64 b (.f64 r (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(.f64 (.f64 r b) (.f64 #s(literal 1/2 binary64) (.f64 a a)))
(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
(.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 b (.f64 b #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) r))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) b))
(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) b))
(.f64 r (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 b (*.f64 b b)) b))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 (*.f64 b b) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) b) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r))
(.f64 b (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64))) r))))
(*.f64 r (sin.f64 b))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b))
(/.f64 b (/.f64 (cos.f64 a) r))

Outputs
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (tan.f64 b) r)

Calls

2 calls:

11.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
9.0ms	b

Results

Accuracy	Segments	Branch
78.5%	3	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
78.5%	3	`b`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes47.0ms (0.4%)

Memory

1.4MiB live, 89.4MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(.f64 b (.f64 r (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(.f64 (.f64 r b) (.f64 #s(literal 1/2 binary64) (.f64 a a)))
(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
(.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 b (.f64 b #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) r))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) b))
(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) b))
(.f64 r (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 b (*.f64 b b)) b))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 (*.f64 b b) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) b) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r))
(.f64 b (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64))) r))))
(*.f64 r (sin.f64 b))
(*.f64 (tan.f64 b) r)

Outputs
(*.f64 (tan.f64 b) r)

Calls

5 calls:

12.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
10.0ms	b
8.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms	r
7.0ms	a

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes41.0ms (0.3%)

Memory

-27.2MiB live, 89.6MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(.f64 b (.f64 r (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(.f64 (.f64 r b) (.f64 #s(literal 1/2 binary64) (.f64 a a)))
(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
(.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 b (.f64 b #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) r))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) b))
(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) b))
(.f64 r (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 b (*.f64 b b)) b))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 (*.f64 b b) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) b) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r))
(.f64 b (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64))) r))))
(*.f64 r (sin.f64 b))

Outputs
(*.f64 r (sin.f64 b))

Calls

5 calls:

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

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes41.0ms (0.3%)

Memory

20.5MiB live, 62.2MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(.f64 b (.f64 r (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(.f64 (.f64 r b) (.f64 #s(literal 1/2 binary64) (.f64 a a)))
(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
(.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 b (.f64 b #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) r))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) b))
(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) b))
(.f64 r (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 b (*.f64 b b)) b))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 (*.f64 b b) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) b)))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 (.f64 b b) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) b) (-.f64 (.f64 r (.f64 (.f64 a a) #s(literal 1/2 binary64))) r))
(.f64 b (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 r (.f64 a a)) (.f64 r (.f64 a a))) (neg.f64 (.f64 r r))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64))) r))))

Outputs
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))

Calls

5 calls:

12.0ms	b
7.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
7.0ms	a
7.0ms	r

Results

Accuracy	Segments	Branch
34.9%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
34.9%	1	`b`
34.9%	1	`r`
34.9%	1	`a`
34.9%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes25.0ms (0.2%)

Memory

10.3MiB live, 49.9MiB allocated

Accuracy

Total -16.3b remaining (-38.5%)

Threshold costs -16.3b (-38.5%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(.f64 b (.f64 r (.f64 #s(literal 1/2 binary64) (.f64 a a))))
(.f64 (.f64 r b) (.f64 #s(literal 1/2 binary64) (.f64 a a)))
(.f64 b (fma.f64 r (.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(.f64 b (fma.f64 (.f64 b b) (*.f64 r #s(literal 1/3 binary64)) r))
(.f64 r (fma.f64 b (.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
(.f64 b (/.f64 r (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(.f64 r (/.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64))))
(/.f64 (.f64 r b) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)))
(.f64 b (fma.f64 b (.f64 b (.f64 r (fma.f64 b (.f64 b #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) r))
(.f64 r (fma.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) b))
(.f64 b (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 r #s(literal 5/24 binary64)) (*.f64 r #s(literal 1/2 binary64))) r))
(.f64 b (/.f64 r (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))

Outputs
(*.f64 r b)

Calls

5 calls:

6.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
5.0ms	r
5.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	a
4.0ms	b

Results

Accuracy	Segments	Branch
34.1%	1	`b`
34.1%	1	`(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))`
34.1%	1	`a`
34.1%	1	`(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))`
34.1%	1	`r`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch97.0ms (0.7%)

Memory

-9.2MiB live, 69.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	2.213643073300519e-5	0.15397516932201333
55.0ms	-0.5283940444434202	-3.01049800126324e-6

Samples

33.0ms	155×	0	valid
16.0ms	117×	1	valid

Compiler

Compiled 492 to 338 computations (31.3% saved)

Precisions

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

ival-cos: 6.0ms (33.9% of total)

ival-sin: 3.0ms (16.9% of total)

ival-add: 2.0ms (11.3% of total)

ival-div: 2.0ms (11.3% of total)

adjust: 2.0ms (11.3% of total)

ival-mult: 2.0ms (11.3% of total)

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

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

bsearch107.0ms (0.8%)

Memory

12.7MiB live, 52.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.213643073300519e-5	0.15397516932201333
92.0ms	-0.5283940444434202	-3.01049800126324e-6

Samples

88.0ms	94×	1	valid
8.0ms	130×	0	valid

Compiler

Compiled 339 to 253 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-add: 77.0ms (86% of total)

ival-cos: 5.0ms (5.6% of total)

ival-div: 2.0ms (2.2% of total)

ival-mult: 2.0ms (2.2% of total)

ival-sin: 2.0ms (2.2% of total)

adjust: 1.0ms (1.1% of total)

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

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.213643073300519e-5	0.15397516932201333
1.0ms	-0.5283940444434202	-3.01049800126324e-6

Compiler

Compiled 321 to 235 computations (26.8% saved)

simplify27.0ms (0.2%)

Memory

-22.3MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	152
1	86	152
2	97	152
3	102	152
4	104	152

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -7378697629483821/2305843009213693952 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) (if (<=.f64 b #s(literal 7839866231326559/4611686018427387904 binary64)) (.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a b)))) (.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -8854437155380585/147573952589676412928 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) (if (<=.f64 b #s(literal 5312662293228351/73786976294838206464 binary64)) (.f64 b (/.f64 r (cos.f64 a))) (.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -8854437155380585/147573952589676412928 binary64)) (.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 5312662293228351/73786976294838206464 binary64)) (.f64 b (/.f64 r (cos.f64 a))) (*.f64 (tan.f64 b) r)))
(*.f64 (tan.f64 b) r)
(*.f64 r (sin.f64 b))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(*.f64 r b)

Outputs
(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(if (<=.f64 b #s(literal -7378697629483821/2305843009213693952 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) (if (<=.f64 b #s(literal 7839866231326559/4611686018427387904 binary64)) (.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a b)))) (.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -7378697629483821/2305843009213693952 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) (if (<=.f64 b #s(literal 7839866231326559/4611686018427387904 binary64)) (.f64 r (/.f64 (fma.f64 b (.f64 b (.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 b a)))) (.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -8854437155380585/147573952589676412928 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) (if (<=.f64 b #s(literal 5312662293228351/73786976294838206464 binary64)) (.f64 b (/.f64 r (cos.f64 a))) (.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -8854437155380585/147573952589676412928 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b))) (if (<=.f64 b #s(literal 5312662293228351/73786976294838206464 binary64)) (.f64 b (/.f64 r (cos.f64 a))) (.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -8854437155380585/147573952589676412928 binary64)) (.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 5312662293228351/73786976294838206464 binary64)) (.f64 b (/.f64 r (cos.f64 a))) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -8854437155380585/147573952589676412928 binary64)) (.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 5312662293228351/73786976294838206464 binary64)) (.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (tan.f64 b))))
(*.f64 (tan.f64 b) r)
(*.f64 r (tan.f64 b))
(*.f64 r (sin.f64 b))
(.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b)))
(*.f64 r b)

soundness1.4s (10.6%)

Memory

18.5MiB live, 1 180.7MiB allocated

Rules

10 362×	`lower-fma.f64`
10 362×	`lower-fma.f32`
9 408×	`lower-fma.f64`
9 408×	`lower-fma.f32`
9 184×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	714	6951
1	2301	6689
2	7528	6671
0	8115	6394
0	215	1226
1	660	1174
2	2069	1116
3	7705	1116
0	8285	1075
0	8	22
0	13	22
1	44	22
2	234	22
3	1985	22
0	10212	22
0	769	7890
1	2581	7298
0	8504	7052
0	35	202
0	69	188
1	233	164
2	1612	164
0	8373	164
0	968	7875
1	3049	7435
0	8553	7067

Stop Event

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

Compiler

Compiled 498 to 280 computations (43.8% saved)

preprocess92.0ms (0.7%)

Memory: -25.3MiB live, 251.5MiB allocated
Remove: (negabs r)
Compiler: Compiled 524 to 248 computations (52.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze270.0ms (2%)

sample2.1s (15.9%)

preprocess101.0ms (0.8%)

explain131.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize56.0ms (0.4%)

series15.0ms (0.1%)

rewrite359.0ms (2.7%)

simplify344.0ms (2.6%)

eval32.0ms (0.2%)

prune58.0ms (0.4%)

simplify464.0ms (3.5%)

localize270.0ms (2%)

series72.0ms (0.5%)

rewrite512.0ms (3.9%)

simplify533.0ms (4%)

eval259.0ms (2%)

prune524.0ms (4%)

simplify263.0ms (2%)

localize232.0ms (1.8%)

series79.0ms (0.6%)

rewrite397.0ms (3%)

simplify375.0ms (2.8%)

eval212.0ms (1.6%)

prune250.0ms (1.9%)

simplify598.0ms (4.5%)

localize273.0ms (2.1%)

series75.0ms (0.6%)

rewrite292.0ms (2.2%)

simplify420.0ms (3.2%)

eval201.0ms (1.5%)

prune349.0ms (2.6%)

regimes382.0ms (2.9%)

regimes325.0ms (2.5%)

regimes256.0ms (1.9%)

regimes77.0ms (0.6%)

regimes122.0ms (0.9%)

regimes28.0ms (0.2%)

regimes21.0ms (0.2%)

regimes47.0ms (0.4%)

regimes41.0ms (0.3%)

regimes41.0ms (0.3%)

regimes25.0ms (0.2%)

bsearch97.0ms (0.7%)

bsearch107.0ms (0.8%)

bsearch1.0ms (0%)

simplify27.0ms (0.2%)

soundness1.4s (10.6%)

preprocess92.0ms (0.7%)

end0.0ms (0%)

Profiling