Metrics for rsin A (should all be same)

analyze337.0ms (2.8%)

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 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult: 54.0ms (38.7% of total)

ival-sin: 36.0ms (25.8% of total)

ival-add: 18.0ms (12.9% of total)

ival-cos: 18.0ms (12.9% of total)

ival-div: 10.0ms (7.2% of total)

const: 2.0ms (1.4% of total)

backward-pass: 1.0ms (0.7% of total)

sample2.0s (16.2%)

Results

1.4s	5970×	1	valid
218.0ms	2286×	0	valid

Precisions

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

ival-sin: 415.0ms (35.4% of total)

ival-cos: 293.0ms (25% of total)

ival-mult: 167.0ms (14.2% of total)

ival-div: 116.0ms (9.9% of total)

ival-add: 97.0ms (8.3% of total)

backward-pass: 79.0ms (6.7% of total)

const: 7.0ms (0.6% of total)

Bogosity

preprocess76.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

2354×	`fnmadd-define`
1960×	`fma-define`
1434×	`sum3-define`
1128×	`fnmsub-define`
1096×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	95
1	91	93
2	196	93
3	483	93
4	1612	93
5	3557	93
6	5887	93
7	6893	93
8	7879	93
0	8	9
1	12	9
2	15	9
3	16	9
0	16	9

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

Inputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* (neg r) (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ (neg a) b)))
(/ (* r (sin (neg b))) (cos (+ a (neg b))))
(neg (/ (* (neg r) (sin b)) (cos (+ a b))))
(neg (/ (* r (sin b)) (cos (+ (neg a) b))))
(neg (/ (* r (sin (neg b))) (cos (+ a (neg b)))))
(/ (* a (sin b)) (cos (+ r b)))
(/ (* b (sin r)) (cos (+ a r)))
(/ (* r (sin a)) (cos (+ b a)))

Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ b a)))
(/ (* (neg r) (sin b)) (cos (+ a b)))
(/ (fnmsub r (sin b) 0) (cos (+ b a)))
(/ (* r (sin b)) (cos (+ (neg a) b)))
(/ (* r (sin b)) (cos (- b a)))
(/ (* r (sin (neg b))) (cos (+ a (neg b))))
(/ (fnmsub r (sin b) 0) (cos (- b a)))
(neg (/ (* (neg r) (sin b)) (cos (+ a b))))
(/ (* r (sin b)) (cos (+ b a)))
(neg (/ (* r (sin b)) (cos (+ (neg a) b))))
(/ (fnmsub r (sin b) 0) (cos (- b a)))
(neg (/ (* r (sin (neg b))) (cos (+ a (neg b)))))
(/ (* r (sin b)) (cos (- b a)))
(/ (* a (sin b)) (cos (+ r b)))
(/ (* (sin b) a) (cos (+ r b)))
(/ (* b (sin r)) (cos (+ a r)))
(/ (* b (sin r)) (cos (+ r a)))
(/ (* r (sin a)) (cos (+ b a)))
(* r (/ (sin a) (cos (+ b a))))

Symmetry

(negabs r)

explain154.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
72	121	(1.5117212168478948e-164 -2.836315558664889e+26 8.413611227319819e-241)	-	`(cos.f64 (+.f64 a b))`
0	0	-	-	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
0	0	-	-	`r`
0	0	-	-	`b`
0	0	-	-	`(*.f64 r (sin.f64 b))`
0	0	-	-	`(sin.f64 b)`
0	0	-	-	`a`
0	0	-	-	`(+.f64 a b)`

Results

96.0ms	366×	1	valid
17.0ms	146×	0	valid

Compiler

Compiled 70 to 26 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-sin: 26.0ms (36.9% of total)

ival-cos: 17.0ms (24.1% of total)

backward-pass: 10.0ms (14.2% of total)

ival-mult: 8.0ms (11.3% of total)

ival-add: 5.0ms (7.1% of total)

ival-div: 5.0ms (7.1% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	12	25
2	15	25
3	16	25
0	16	25

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize67.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	75.9%	(cos.f64 (+.f64 b a))

Results

50.0ms	183×	1	valid
7.0ms	73×	0	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sin: 13.0ms (34.8% of total)

ival-cos: 8.0ms (21.4% of total)

ival-mult: 5.0ms (13.4% of total)

backward-pass: 5.0ms (13.4% of total)

ival-add: 3.0ms (8% of total)

ival-div: 2.0ms (5.4% of total)

const: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

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 (* 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>
#<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 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)>
#<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)))>

Calls

24 calls:

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

rewrite407.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

6648×	`-lowering-.f32`
6648×	`-lowering-.f64`
3292×	`/-lowering-/.f32`
3292×	`/-lowering-/.f64`
2624×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	39	19
2	253	19
3	2314	19
0	11205	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 160

Calls

Call 1

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

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

simplify280.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4042×	`-lowering-.f32`
4042×	`-lowering-.f64`
1622×	`sum5-define`
1594×	`+-lowering-+.f64`
1594×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	937
1	557	880
2	1899	847
3	7323	847
0	8053	847

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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))))
(* 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
(* 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 b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))

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

eval30.0ms (0.2%)

Compiler: Compiled 4848 to 628 computations (87% saved)

prune68.0ms (0.6%)

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	217	39	256
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	218	39	257

Accuracy

99.8%

Counts

257 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.7%	(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	75.1%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
	46.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))) (.f64 r b)) (cos.f64 (+.f64 b a)))
	46.7%	(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 b b) #s(literal -1/5040 binary64))))))))) (cos.f64 (+.f64 b a)))
	46.6%	(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a)))
	46.6%	(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
▶	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
	98.6%	(/.f64 (.f64 r (sin.f64 b)) (/.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 #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 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))))
	76.7%	(/.f64 (.f64 r (sin.f64 b)) (/.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 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))
	75.7%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
	75.8%	(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
	75.1%	(/.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) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b 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))))) (cos.f64 (-.f64 b a)))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	57.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	48.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
	57.2%	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (.f64 a (-.f64 (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))))
	47.8%	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))))
	75.7%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
	50.8%	(/.f64 (.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))))
	43.6%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 (.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 b a)))))
▶	29.4%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))))))
	60.6%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
	51.0%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	47.1%	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
▶	46.9%	(/.f64 (*.f64 r b) (cos.f64 a))
	75.7%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	75.5%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
▶	75.6%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	75.6%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)))
	75.7%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
▶	75.8%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	75.7%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
	75.8%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	75.1%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
	75.8%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	75.8%	(.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
	47.3%	(.f64 b (+.f64 (/.f64 r (cos.f64 a)) (.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
	32.3%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))

Compiler

Compiled 1638 to 1034 computations (36.9% saved)

simplify152.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (sin.f64 b))
✓	cost-diff	6464	(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))
✓	cost-diff	6464	(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
✓	cost-diff	13184	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 b b) (.f64 a (-.f64 a b))))
✓	cost-diff	128	(cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 b b) (.f64 a (-.f64 a b)))))
✓	cost-diff	128	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.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 (sin.f64 b) (cos.f64 (+.f64 b a)))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
✓	cost-diff	0	(cos.f64 a)
✓	cost-diff	0	(*.f64 r b)
✓	cost-diff	0	(/.f64 (*.f64 r b) (cos.f64 a))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	6400	(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
✓	cost-diff	6400	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))

Rules

1952×	`sum3-define`
1706×	`fma-lowering-fma.f32`
1706×	`fma-lowering-fma.f64`
1500×	`fma-define`
1400×	`fnmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	252
1	85	251
2	173	247
3	395	246
4	1131	245
5	2671	245
6	6501	245
0	8154	245

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a))))
(* r (sin b))
r
(sin b)
b
(+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a)))
(- 0 (sin b))
0
(sin a)
a
(* (cos b) (cos a))
(cos b)
(cos a)
(/ (* r b) (cos a))
(* r b)
r
b
(cos a)
a
(* (/ (sin b) (cos (+ b a))) r)
(/ (sin b) (cos (+ b a)))
(sin b)
b
(cos (+ b a))
(+ b a)
a
r
(/ (* r (sin b)) (cos (/ (- 0 (+ (* b (* b b)) (* a (* a a)))) (+ (* b b) (* a (- a b))))))
(* r (sin b))
r
(sin b)
b
(cos (/ (- 0 (+ (* b (* b b)) (* a (* a a)))) (+ (* b b) (* a (- a b)))))
(/ (- 0 (+ (* b (* b b)) (* a (* a a)))) (+ (* b b) (* a (- a b))))
(- 0 (+ (* b (* b b)) (* a (* a a))))
0
(+ (* b (* b b)) (* a (* a a)))
(* b (* b b))
(* b b)
(* a (* a a))
a
(* a a)
(+ (* b b) (* a (- a b)))
(* a (- a b))
(- a b)
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1))
(pow (/ -1 (sin b)) -1)
(/ -1 (sin b))
-1
(sin b)
b
(pow (/ (cos (+ b a)) (- 0 r)) -1)
(/ (cos (+ b a)) (- 0 r))
(cos (+ b a))
(+ b a)
a
(- 0 r)
0
r

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

localize416.0ms (3.4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
✓	accuracy	99.6%	(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64))
✓	accuracy	99.5%	(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))
✓	accuracy	75.9%	(cos.f64 (+.f64 b a))
✓	accuracy	97.5%	(+.f64 (.f64 b b) (.f64 a (-.f64 a b)))
✓	accuracy	95.3%	(+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))
✓	accuracy	75.9%	(cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 b b) (.f64 a (-.f64 a b)))))
✓	accuracy	30.5%	(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 b b) (.f64 a (-.f64 a b))))
✓	accuracy	100.0%	(sin.f64 b)
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
✓	accuracy	99.6%	(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
✓	accuracy	75.9%	(cos.f64 (+.f64 b a))
✓	accuracy	100.0%	(*.f64 r b)
✓	accuracy	100.0%	(cos.f64 a)
✓	accuracy	99.7%	(/.f64 (*.f64 r b) (cos.f64 a))
✓	accuracy	99.8%	(*.f64 (cos.f64 b) (cos.f64 a))
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.8%	(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))

Results

308.0ms	189×	1	valid
29.0ms	67×	0	valid

Compiler

Compiled 305 to 39 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-mult: 44.0ms (20.6% of total)

ival-pow: 38.0ms (17.8% of total)

ival-cos: 36.0ms (16.8% of total)

backward-pass: 27.0ms (12.6% of total)

ival-sin: 24.0ms (11.2% of total)

ival-div: 20.0ms (9.3% of total)

ival-add: 9.0ms (4.2% of total)

ival-sub: 9.0ms (4.2% of total)

compiled-spec: 8.0ms (3.7% of total)

const: 1.0ms (0.5% of total)

series81.0ms (0.7%)

Counts

20 → 504

Calls

Call 1

Inputs
#<alt (/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a))))>
#<alt (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a)))>
#<alt (* r (sin b))>
#<alt (sin b)>
#<alt (/ (* r b) (cos a))>
#<alt (* r b)>
#<alt (cos a)>
#<alt (* (/ (sin b) (cos (+ b a))) r)>
#<alt (/ (sin b) (cos (+ b a)))>
#<alt (cos (+ b a))>
#<alt (/ (* r (sin b)) (cos (/ (- 0 (+ (* b (* b b)) (* a (* a a)))) (+ (* b b) (* a (- a b))))))>
#<alt (cos (/ (- 0 (+ (* b (* b b)) (* a (* a a)))) (+ (* b b) (* a (- a b)))))>
#<alt (/ (- 0 (+ (* b (* b b)) (* a (* a a)))) (+ (* b b) (* a (- a b))))>
#<alt (* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1))>
#<alt (pow (/ -1 (sin b)) -1)>
#<alt (pow (/ (cos (+ b a)) (- 0 r)) -1)>
#<alt (/ -1 (sin b))>
#<alt (* (cos b) (cos a))>
#<alt (+ (* b (* b b)) (* a (* a a)))>
#<alt (+ (* b b) (* a (- a b)))>

Outputs
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (* 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>
#<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 (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (/ (* 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 (/ (* 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 (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (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 (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* b r) (cos (* -1 a)))>
#<alt (* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2)))))>
#<alt (/ (* r (sin b)) (cos (* -1 b)))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))>
#<alt (/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))>
#<alt (/ (* r (sin b)) (cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))>
#<alt (/ (* r (sin b)) (cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))>
#<alt (cos (* -1 a))>
#<alt (+ (cos (* -1 a)) (* b (sin (* -1 a))))>
#<alt (+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))>
#<alt (+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))>
#<alt (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))>
#<alt (cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2))))>
#<alt (cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2))))>
#<alt (cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2))))>
#<alt (cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2))))>
#<alt (cos (* -1 b))>
#<alt (+ (cos (* -1 b)) (* a (sin (* -1 b))))>
#<alt (+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))>
#<alt (+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b))))))>
#<alt (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))>
#<alt (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))>
#<alt (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))>
#<alt (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))>
#<alt (cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))>
#<alt (cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))>
#<alt (cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))>
#<alt (cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))>
#<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 (/ (pow a 2) b)) (/ (pow a 2) b)) a) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) a) 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 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1))>
#<alt (* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1))>
#<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 2)) (pow b 2))) a)) b) 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 (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 (/ (* 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 (* -1 b)>
#<alt (* b (- (* 1/6 (pow b 2)) 1))>
#<alt (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))>
#<alt (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (sin b))>
#<alt (* -1 (/ r (cos a)))>
#<alt (+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))))))>
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))))))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (- a (* -1 b)))))>
#<alt (* -1 (/ r (cos (- a (* -1 b)))))>
#<alt (* -1 (/ r (cos (- a (* -1 b)))))>
#<alt (* -1 (/ r (cos (- a (* -1 b)))))>
#<alt (* -1 (/ r (cos b)))>
#<alt (+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))>
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))))))>
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))))))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (- b (* -1 a)))))>
#<alt (* -1 (/ r (cos (- b (* -1 a)))))>
#<alt (* -1 (/ r (cos (- b (* -1 a)))))>
#<alt (* -1 (/ r (cos (- b (* -1 a)))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (* -1 (/ r (cos (+ a b))))>
#<alt (/ -1 b)>
#<alt (/ (- (* -1/6 (pow b 2)) 1) b)>
#<alt (/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)>
#<alt (/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (/ -1 (sin b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (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 (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 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 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))))>

Calls

126 calls:

Time	Variable		Point	Expression
14.0ms	b	@	0	(/ (sin b) (cos (+ b a)))
8.0ms	b	@	inf	(/ (- 0 (+ (* b (* b b)) (* a (* a a)))) (+ (* b b) (* a (- a b))))
6.0ms	r	@	0	(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a))))
3.0ms	r	@	0	(/ (* r (sin b)) (cos (/ (- 0 (+ (* b (* b b)) (* a (* a a)))) (+ (* b b) (* a (- a b))))))
3.0ms	b	@	0	(+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a)))

rewrite375.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2784×	`/-lowering-/.f32`
2784×	`/-lowering-/.f64`
2206×	`-lowering-.f32`
2206×	`-lowering-.f64`
1724×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	177
1	236	110
2	2145	110
0	8340	110

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 833

Calls

Call 1

Inputs
(/ (* r (sin b)) (+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a))))
(+ (* (- 0 (sin b)) (sin a)) (* (cos b) (cos a)))
(* r (sin b))
(sin b)
(/ (* r b) (cos a))
(* r b)
(cos a)
(* (/ (sin b) (cos (+ b a))) r)
(/ (sin b) (cos (+ b a)))
(cos (+ b a))
(/ (* r (sin b)) (cos (/ (- 0 (+ (* b (* b b)) (* a (* a a)))) (+ (* b b) (* a (- a b))))))
(cos (/ (- 0 (+ (* b (* b b)) (* a (* a a)))) (+ (* b b) (* a (- a b)))))
(/ (- 0 (+ (* b (* b b)) (* a (* a a)))) (+ (* b b) (* a (- a b))))
(* (pow (/ -1 (sin b)) -1) (pow (/ (cos (+ b a)) (- 0 r)) -1))
(pow (/ -1 (sin b)) -1)
(pow (/ (cos (+ b a)) (- 0 r)) -1)
(/ -1 (sin b))
(* (cos b) (cos a))
(+ (* b (* b b)) (* a (* a a)))
(+ (* b b) (* a (- a b)))

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

simplify649.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

6022×	`-lowering-.f32`
6022×	`-lowering-.f64`
2888×	`+-lowering-+.f64`
2888×	`+-lowering-+.f32`
1506×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	675	6371
1	2378	5800
0	8862	5800

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* 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
(* 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)
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* 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)
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* b r) (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2))))))
(/ (* r (sin b)) (cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2)))))
(/ (* r (sin b)) (cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2)))))
(/ (* r (sin b)) (cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2)))))
(/ (* r (sin b)) (cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2)))))
(/ (* r (sin b)) (cos (* -1 b)))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))
(/ (* r (sin b)) (cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos (* -1 a))
(+ (cos (* -1 a)) (* b (sin (* -1 a))))
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* a (- a b)) (pow b 2)))))
(cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2))))
(cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2))))
(cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2))))
(cos (/ (- (* -1 (pow b 3)) (pow a 3)) (+ (* a (+ a (* -1 b))) (pow b 2))))
(cos (* -1 b))
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b))))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))
(cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))
(cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))
(cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))
(cos (/ (- (* -1 (pow a 3)) (pow b 3)) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))
(* -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 (/ (pow a 2) b)) (/ (pow a 2) b)) a) b)))))
(* -1 (* b (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) a) b)))))
(* -1 b)
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(+ (* -1 a) (* -1 b))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1))
(* -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 2)) (pow b 2))) a)) b) a)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* -1 b)
(* b (- (* 1/6 (pow b 2)) 1))
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (sin b))
(* -1 (/ r (cos a)))
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))))))
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))))))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (- a (* -1 b)))))
(* -1 (/ r (cos (- a (* -1 b)))))
(* -1 (/ r (cos (- a (* -1 b)))))
(* -1 (/ r (cos (- a (* -1 b)))))
(* -1 (/ r (cos b)))
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))))))
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))))))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (- b (* -1 a)))))
(* -1 (/ r (cos (- b (* -1 a)))))
(* -1 (/ r (cos (- b (* -1 a)))))
(* -1 (/ r (cos (- b (* -1 a)))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(* -1 (/ r (cos (+ a b))))
(/ -1 b)
(/ (- (* -1/6 (pow b 2)) 1) b)
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(/ -1 (sin b))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos b)
(+ (cos b) (* -1/2 (* (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))
(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 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 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))))

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

eval232.0ms (1.9%)

Compiler: Compiled 43166 to 2938 computations (93.2% saved)

prune245.0ms (2%)

Pruning

79 alts after pruning (77 fresh and 2 done)

	Pruned	Kept	Total
New	1503	59	1562
Fresh	16	18	34
Picked	3	2	5
Done	0	0	0
Total	1522	79	1601

Accuracy

99.9%

Counts

1601 → 79

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.9%	(pow.f64 (.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) #s(literal -1/2 binary64))
	75.7%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
	75.1%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
	75.7%	(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)))
	46.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))) (.f64 r b)) (cos.f64 (+.f64 b a)))
	64.6%	(/.f64 (.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	46.6%	(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a)))
	98.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	62.0%	(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
	52.2%	(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
	99.1%	(/.f64 (.f64 r (sin.f64 b)) (/.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 #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)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))))
	75.7%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶	57.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	48.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
	57.2%	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 b) a)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))) (cos.f64 b))))
	75.7%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
	17.4%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 b b))))
	18.3%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 a (-.f64 a b)))))
	15.2%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 a a))))
	31.5%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))))))
	71.9%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a))))))
	60.5%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(literal 0 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))))
	61.7%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (.f64 b (+.f64 (+.f64 (.f64 a (/.f64 #s(literal -1 binary64) b)) (.f64 a #s(literal 0 binary64))) #s(literal -1 binary64)))))
	19.1%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a)))) #s(literal -1 binary64)))))
▶	60.6%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
	51.0%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	31.0%	(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
	31.1%	(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 a a) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64)))))
	31.1%	(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))))
	22.2%	(/.f64 (.f64 r b) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))))))
	47.1%	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
✓	46.9%	(/.f64 (*.f64 r b) (cos.f64 a))
	75.7%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	75.5%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	46.6%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))
	47.4%	(.f64 (pow.f64 (/.f64 (+.f64 (.f64 b (*.f64 b #s(literal -1/6 binary64))) #s(literal -1 binary64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	29.0%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	98.6%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.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 (+.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) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	98.6%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	99.1%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	98.9%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.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 #s(literal 1 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 (cos.f64 b) (cos.f64 a)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	60.5%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 b) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	50.9%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	75.6%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r)))
	60.5%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 r (cos.f64 b))))
	50.9%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 r (cos.f64 a))))
	75.6%	(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)))
	31.6%	(.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))))) r)
	41.7%	(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (cos.f64 (+.f64 b a))) r)
▶	31.7%	(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
	41.7%	(.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))) (sin.f64 b))) (cos.f64 (+.f64 b a))) r)
	41.8%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) r)
	46.6%	(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
	46.7%	(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1/120 binary64) (.f64 b (.f64 b #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) r)
	46.7%	(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
	75.2%	(.f64 (/.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)))))) (cos.f64 (-.f64 a b)))) r)
	98.7%	(.f64 (/.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))))) r)
▶	99.5%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	47.8%	(.f64 (/.f64 (sin.f64 b) (+.f64 (.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)))) r)
	75.7%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
	60.6%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	51.0%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
	75.8%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	47.1%	(*.f64 (/.f64 b (cos.f64 (+.f64 b a))) r)
	46.9%	(*.f64 (/.f64 b (cos.f64 a)) r)
	75.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r)
	75.8%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	98.8%	(.f64 (.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))) r)
	75.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) r)
	41.7%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
▶	32.1%	(*.f64 r b)
	46.9%	(*.f64 b (/.f64 r (cos.f64 a)))
	46.9%	(.f64 b (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
	75.3%	(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) #s(literal -1 binary64)))
	32.3%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	18.5%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 a) (.f64 r b))) #s(literal -1 binary64)))

Compiler

Compiled 3725 to 2319 computations (37.7% saved)

simplify161.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))))
✓	cost-diff	128	(/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a)))
✓	cost-diff	128	(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
✓	cost-diff	0	(-.f64 (cos.f64 b) (*.f64 (sin.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)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
✓	cost-diff	0	(cos.f64 b)
✓	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 b))
✓	cost-diff	0	(*.f64 r b)
✓	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 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)

Rules

2702×	`-lowering-.f32`
2702×	`-lowering-.f64`
1744×	`fnmadd-define`
1560×	`sum3-define`
1166×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	211
1	75	211
2	149	205
3	310	205
4	674	205
5	1489	205
6	3376	205
7	6408	205
0	8196	205

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) r)
(/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))
(sin b)
b
(- (* (cos b) (cos a)) (* (sin b) (sin a)))
(* (cos b) (cos a))
(cos b)
(cos a)
a
(* (sin b) (sin a))
(sin a)
r
(* r b)
r
b
(/ (* r (sin b)) (cos b))
(* r (sin b))
r
(sin b)
b
(cos b)
(/ (* r (sin b)) (- (cos b) (* (sin b) a)))
(* r (sin b))
r
(sin b)
b
(- (cos b) (* (sin b) a))
(cos b)
(* (sin b) a)
a
(* (/ (/ (+ 0 (pow (sin b) 3)) (- 1/2 (* 1/2 (cos (* 2 b))))) (cos (+ b a))) r)
(/ (/ (+ 0 (pow (sin b) 3)) (- 1/2 (* 1/2 (cos (* 2 b))))) (cos (+ b a)))
(/ (+ 0 (pow (sin b) 3)) (- 1/2 (* 1/2 (cos (* 2 b)))))
(+ 0 (pow (sin b) 3))
0
(pow (sin b) 3)
(sin b)
b
3
(- 1/2 (* 1/2 (cos (* 2 b))))
1/2
(* 1/2 (cos (* 2 b)))
(cos (* 2 b))
(* 2 b)
2
(cos (+ b a))
(+ b a)
a
r

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

localize395.0ms (3.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(pow.f64 (sin.f64 b) #s(literal 3 binary64))
✓	accuracy	81.8%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))
✓	accuracy	75.9%	(cos.f64 (+.f64 b a))
✓	accuracy	68.1%	(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))))
✓	accuracy	100.0%	(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
✓	accuracy	99.8%	(*.f64 (sin.f64 b) a)
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
✓	accuracy	100.0%	(sin.f64 b)
✓	accuracy	100.0%	(cos.f64 b)
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.7%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
✓	accuracy	100.0%	(*.f64 r b)
✓	accuracy	99.7%	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
✓	accuracy	99.7%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
✓	accuracy	99.7%	(*.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))))

Results

232.0ms	181×	1	valid
100.0ms	64×	2	valid
5.0ms	11×	0	valid

Compiler

Compiled 226 to 34 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-cos: 64.0ms (31.6% of total)

ival-mult: 40.0ms (19.8% of total)

ival-sin: 24.0ms (11.9% of total)

ival-div: 20.0ms (9.9% of total)

backward-pass: 20.0ms (9.9% of total)

ival-pow: 19.0ms (9.4% of total)

ival-sub: 8.0ms (4% of total)

ival-add: 6.0ms (3% of total)

const: 1.0ms (0.5% of total)

series65.0ms (0.5%)

Counts

19 → 420

Calls

Call 1

Inputs
#<alt (* (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) r)>
#<alt (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))>
#<alt (sin b)>
#<alt (- (* (cos b) (cos a)) (* (sin b) (sin a)))>
#<alt (* r b)>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (* r (sin b))>
#<alt (cos b)>
#<alt (/ (* r (sin b)) (- (cos b) (* (sin b) a)))>
#<alt (- (cos b) (* (sin b) a))>
#<alt (* (/ (/ (+ 0 (pow (sin b) 3)) (- 1/2 (* 1/2 (cos (* 2 b))))) (cos (+ b a))) r)>
#<alt (/ (/ (+ 0 (pow (sin b) 3)) (- 1/2 (* 1/2 (cos (* 2 b))))) (cos (+ b a)))>
#<alt (/ (+ 0 (pow (sin b) 3)) (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (+ 0 (pow (sin b) 3))>
#<alt (* (sin b) (sin a))>
#<alt (* (sin b) a)>
#<alt (cos (+ b a))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (pow (sin b) 3)>

Outputs
#<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 (/ (* 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 (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))))>
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#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 5) (* (pow (cos b) 3) (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1/2 (/ (pow (sin b) 3) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))))) (* -1 (/ (pow (sin b) 4) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b))))))))) (/ (pow (sin b) 3) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 4) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b))))))) (+ (* 1/6 (/ (pow (sin b) 4) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b))))))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 5) (* (pow (cos b) 3) (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1/2 (/ (pow (sin b) 3) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b))))))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 5) (* (pow (cos b) 3) (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1/2 (/ (pow (sin b) 3) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))))) (* -1 (/ (pow (sin b) 4) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b))))))))) (/ (pow (sin b) 3) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))>
#<alt (/ (pow (sin b) 3) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (pow (sin b) 3) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (pow (sin b) 3) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (pow (sin b) 3) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (pow (sin b) 3) (* (cos (- b (* -1 a))) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (pow (sin b) 3) (* (cos (- b (* -1 a))) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (pow (sin b) 3) (* (cos (- b (* -1 a))) (- 1/2 (* 1/2 (cos (* 2 b))))))>
#<alt (/ (pow (sin b) 3) (* (cos (- b (* -1 a))) (- 1/2 (* 1/2 (cos (* 2 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 (/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (pow b 3) (+ 1 (* (pow b 2) (- (* 13/120 (pow b 2)) 1/2))))>
#<alt (* (pow b 3) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 13/120 (* -41/3024 (pow b 2)))) 1/2))))>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<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 (* a b)>
#<alt (* b (+ a (* -1/6 (* a (pow b 2)))))>
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))>
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (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 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)>
#<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 (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1/3 (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (* (pow b 2) (- (* 2/45 (pow b 2)) 1/3))))>
#<alt (* (pow b 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 2/45 (* -1/315 (pow b 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 b))))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (pow b 3) (+ 1 (* (pow b 2) (- (* 13/120 (pow b 2)) 1/2))))>
#<alt (* (pow b 3) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 13/120 (* -41/3024 (pow b 2)))) 1/2))))>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>
#<alt (pow (sin b) 3)>

Calls

105 calls:

Time	Variable		Point	Expression
19.0ms	b	@	0	(* (sin b) (sin a))
4.0ms	b	@	-inf	(* (/ (/ (+ 0 (pow (sin b) 3)) (- 1/2 (* 1/2 (cos (* 2 b))))) (cos (+ b a))) r)
3.0ms	b	@	inf	(* (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) r)
2.0ms	a	@	-inf	(* (/ (/ (+ 0 (pow (sin b) 3)) (- 1/2 (* 1/2 (cos (* 2 b))))) (cos (+ b a))) r)
2.0ms	a	@	inf	(* (/ (/ (+ 0 (pow (sin b) 3)) (- 1/2 (* 1/2 (cos (* 2 b))))) (cos (+ b a))) r)

rewrite407.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4530×	`/-lowering-/.f32`
4530×	`/-lowering-/.f64`
3982×	`-lowering-.f32`
3982×	`-lowering-.f64`
1322×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	115
1	195	104
2	1673	97
0	8819	97

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 929

Calls

Call 1

Inputs
(* (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) r)
(/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))
(sin b)
(- (* (cos b) (cos a)) (* (sin b) (sin a)))
(* r b)
(/ (* r (sin b)) (cos b))
(* r (sin b))
(cos b)
(/ (* r (sin b)) (- (cos b) (* (sin b) a)))
(- (cos b) (* (sin b) a))
(* (/ (/ (+ 0 (pow (sin b) 3)) (- 1/2 (* 1/2 (cos (* 2 b))))) (cos (+ b a))) r)
(/ (/ (+ 0 (pow (sin b) 3)) (- 1/2 (* 1/2 (cos (* 2 b))))) (cos (+ b a)))
(/ (+ 0 (pow (sin b) 3)) (- 1/2 (* 1/2 (cos (* 2 b)))))
(+ 0 (pow (sin b) 3))
(* (sin b) (sin a))
(* (sin b) a)
(cos (+ b a))
(- 1/2 (* 1/2 (cos (* 2 b))))
(pow (sin b) 3)

Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (.f64 (sin.f64 b) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(/.f64 (.f64 r (.f64 (sin.f64 b) #s(literal 1 binary64))) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (.f64 (sin.f64 b) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 r (.f64 (sin.f64 b) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (.f64 (cos.f64 (+.f64 b a)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 r (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 b) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (.f64 (cos.f64 (+.f64 b a)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 b) #s(literal 1 binary64))) r) (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r)) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 (.f64 r (.f64 (sin.f64 b) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (neg.f64 (.f64 (cos.f64 (+.f64 b a)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 r (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 b) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 b) #s(literal 1 binary64))) r)) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a)))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (.f64 (sin.f64 b) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(.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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(.f64 (.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(.f64 (.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (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 r (*.f64 (sin.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (cos.f64 (+.f64 b a))) (/.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 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 b #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sin.f64 b) #s(literal 1 binary64)) (-.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) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 b #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 b #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (sin.f64 b) (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 (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (-.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 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))) r) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 b #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))) r) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (cos.f64 (+.f64 b a))))
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(.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) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 b #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))))
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(*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))
(.f64 (.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (pow.f64 (sin.f64 b) #s(literal 4 binary64))))
(.f64 (.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (*.f64 (sin.f64 b) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 b))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 9 binary64)) (pow.f64 (sin.f64 b) #s(literal -6 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 b #s(literal 2 binary64)))))))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 b #s(literal 2 binary64)))))))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))) #s(literal 3/2 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (sin.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (pow.f64 (sin.f64 b) #s(literal 5 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (pow.f64 (sin.f64 b) #s(literal 9/2 binary64))))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 5 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (sin.f64 b)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 9/2 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (pow.f64 (sin.f64 b) #s(literal 3/2 binary64))))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (.f64 (sin.f64 b) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (.f64 (sin.f64 b) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 9/2 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (pow.f64 (sin.f64 b) #s(literal 5 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (sin.f64 b)))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (pow.f64 (sin.f64 b) #s(literal 4 binary64))) (.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (pow.f64 (sin.f64 b) #s(literal 9/2 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (sin.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 5 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 6 binary64)) (pow.f64 (sin.f64 b) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 9/2 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (sin.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 5 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 5 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (sin.f64 b)))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 9/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 9/2 binary64))))

simplify395.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

6604×	`-lowering-.f32`
6604×	`-lowering-.f64`
2822×	`+-lowering-+.f64`
2822×	`+-lowering-+.f32`
1538×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	616	5593
1	2224	5264
0	8079	5264

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(/ (* 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))))
(/ (* 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 (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)
(* 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))
(* 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))
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)
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(* b r)
(* b (+ r (* a (* b r))))
(* b (+ r (* b (- (* b (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r))))))
(* b (+ r (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (* a (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r))))) (+ (* -1/2 (* a r)) (* 1/6 (* a r)))))) (* -1/6 r)) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r))))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (- (cos b) (* a (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (/ (* a (* r (pow (sin b) 3))) (pow (cos b) 3)) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (/ (* a (* r (pow (sin b) 4))) (pow (cos b) 4)) (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(* -1 (/ r a))
(/ (+ (* -1 r) (* -1 (/ (* r (cos b)) (* a (sin b))))) a)
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) (/ (* r (cos b)) (* a (sin b)))) a)
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 3)) (* (pow a 3) (pow (sin b) 3))))) (+ (/ (* r (cos b)) (* a (sin b))) (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) a)
(* -1 (/ r a))
(* -1 (/ (+ r (/ (* r (cos b)) (* a (sin b)))) a))
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2)))) (/ (* r (cos b)) (sin b))) a))) a))
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (- (/ (* r (pow (cos b) 3)) (* a (pow (sin b) 3))) (* -1 (/ (* r (pow (cos b) 2)) (pow (sin b) 2)))) a)) (/ (* r (cos b)) (sin b))) a))) a))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* b (- (* -1/2 b) a)))
(+ 1 (* b (- (* b (- (* 1/6 (* a b)) 1/2)) a)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(- (cos b) (* a (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* -1 (* a (sin b))))
(* -1 (* a (sin b)))
(* a (- (/ (cos b) a) (sin b)))
(* a (- (/ (cos b) a) (sin b)))
(* a (- (/ (cos b) a) (sin b)))
(* -1 (* a (sin b)))
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b)))))
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b)))))
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/2 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/3 (cos a)))) (pow (cos a) 2))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/2 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/3 (cos a)))) (pow (cos a) 2))))) (cos a))) (+ (/ (* r (* (sin a) (+ (* -1/2 (cos a)) (* -1/3 (cos a))))) (pow (cos a) 3)) (/ (* r (+ (* 1/6 (sin a)) (* 1/3 (sin a)))) (pow (cos a) 2)))))) (* -1/2 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/3 (cos a)))) (pow (cos a) 2))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (- a (* -1 b))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (- a (* -1 b))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (- a (* -1 b))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (- a (* -1 b))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b))))))
(+ (/ (* a (* r (pow (sin b) 4))) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b)))))) (/ (* r (pow (sin b) 3)) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 5)) (* (pow (cos b) 3) (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1/2 (/ (* r (pow (sin b) 3)) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))))) (* -1 (/ (* r (pow (sin b) 4)) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b))))))))) (/ (* r (pow (sin b) 3)) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 4)) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b))))))) (+ (* 1/6 (/ (* r (pow (sin b) 4)) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b))))))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 5)) (* (pow (cos b) 3) (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1/2 (/ (* r (pow (sin b) 3)) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b))))))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 5)) (* (pow (cos b) 3) (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1/2 (/ (* r (pow (sin b) 3)) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))))) (* -1 (/ (* r (pow (sin b) 4)) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b))))))))) (/ (* r (pow (sin b) 3)) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (- b (* -1 a))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (- b (* -1 a))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (- b (* -1 a))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (- b (* -1 a))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (* r (pow (sin b) 3)) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/3 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/3 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* 1/6 (/ (sin a) (pow (cos a) 2))) (+ (* 1/3 (/ (sin a) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1/2 (cos a)) (* -1/3 (cos a)))) (pow (cos a) 3))))))) (* 1/3 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (pow (sin b) 3) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (- a (* -1 b))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (- a (* -1 b))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (- a (* -1 b))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (- a (* -1 b))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b))))))
(+ (/ (* a (pow (sin b) 4)) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b)))))) (/ (pow (sin b) 3) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 5) (* (pow (cos b) 3) (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1/2 (/ (pow (sin b) 3) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))))) (* -1 (/ (pow (sin b) 4) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b))))))))) (/ (pow (sin b) 3) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 4) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b))))))) (+ (* 1/6 (/ (pow (sin b) 4) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b))))))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 5) (* (pow (cos b) 3) (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1/2 (/ (pow (sin b) 3) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b))))))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 5) (* (pow (cos b) 3) (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1/2 (/ (pow (sin b) 3) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))))) (* -1 (/ (pow (sin b) 4) (* (pow (cos b) 2) (- 1/2 (* 1/2 (cos (* 2 b))))))))) (/ (pow (sin b) 3) (* (cos b) (- 1/2 (* 1/2 (cos (* 2 b)))))))
(/ (pow (sin b) 3) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (+ a b)) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (- b (* -1 a))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (- b (* -1 a))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (- b (* -1 a))) (- 1/2 (* 1/2 (cos (* 2 b))))))
(/ (pow (sin b) 3) (* (cos (- b (* -1 a))) (- 1/2 (* 1/2 (cos (* 2 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))))
(/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))
(/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))
(/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))
(/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))
(/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))
(/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))
(/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))
(/ (pow (sin b) 3) (- 1/2 (* 1/2 (cos (* 2 b)))))
(pow b 3)
(* (pow b 3) (+ 1 (* -1/2 (pow b 2))))
(* (pow b 3) (+ 1 (* (pow b 2) (- (* 13/120 (pow b 2)) 1/2))))
(* (pow b 3) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 13/120 (* -41/3024 (pow b 2)))) 1/2))))
(pow (sin b) 3)
(pow (sin b) 3)
(pow (sin b) 3)
(pow (sin b) 3)
(pow (sin b) 3)
(pow (sin b) 3)
(pow (sin b) 3)
(pow (sin b) 3)
(* 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))
(* a b)
(* b (+ a (* -1/6 (* a (pow b 2)))))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(pow b 2)
(* (pow b 2) (+ 1 (* -1/3 (pow b 2))))
(* (pow b 2) (+ 1 (* (pow b 2) (- (* 2/45 (pow b 2)) 1/3))))
(* (pow b 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 2/45 (* -1/315 (pow b 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 b))))
(- 1/2 (* 1/2 (cos (* 2 b))))
(- 1/2 (* 1/2 (cos (* 2 b))))
(- 1/2 (* 1/2 (cos (* 2 b))))
(- 1/2 (* 1/2 (cos (* 2 b))))
(- 1/2 (* 1/2 (cos (* 2 b))))
(- 1/2 (* 1/2 (cos (* 2 b))))
(- 1/2 (* 1/2 (cos (* 2 b))))
(pow b 3)
(* (pow b 3) (+ 1 (* -1/2 (pow b 2))))
(* (pow b 3) (+ 1 (* (pow b 2) (- (* 13/120 (pow b 2)) 1/2))))
(* (pow b 3) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 13/120 (* -41/3024 (pow b 2)))) 1/2))))
(pow (sin b) 3)
(pow (sin b) 3)
(pow (sin b) 3)
(pow (sin b) 3)
(pow (sin b) 3)
(pow (sin b) 3)
(pow (sin b) 3)
(pow (sin b) 3)

Outputs
(/ (* 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 (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (.f64 b (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(* 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 (+.f64 (/.f64 r (cos.f64 a)) (.f64 b (+.f64 (.f64 b (-.f64 (.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.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)))))))
(* 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 (+.f64 (/.f64 r (cos.f64 a)) (.f64 b (+.f64 (/.f64 (.f64 r (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 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 (.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (cos.f64 a)))))) (-.f64 (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))))))
(/ (* 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 a) (sin.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 a) (sin.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 a) (sin.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 a) (sin.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 a) (sin.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 a) (sin.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 a) (sin.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 a) (sin.f64 b))))
(/ (* 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)))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r 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)))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (.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))))))
(+ (* 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)))
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(.f64 b (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 b b) #s(literal 13/120 binary64))))))))
(* (pow b 3) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 13/120 (* -41/3024 (pow b 2)))) 1/2))))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 13/120 binary64) (.f64 b (*.f64 b #s(literal -41/3024 binary64)))))))))
(pow (sin b) 3)
(pow.f64 (sin.f64 b) #s(literal 3 binary64))
(pow (sin b) 3)
(pow.f64 (sin.f64 b) #s(literal 3 binary64))
(pow (sin b) 3)
(pow.f64 (sin.f64 b) #s(literal 3 binary64))
(pow (sin b) 3)
(pow.f64 (sin.f64 b) #s(literal 3 binary64))
(pow (sin b) 3)
(pow.f64 (sin.f64 b) #s(literal 3 binary64))
(pow (sin b) 3)
(pow.f64 (sin.f64 b) #s(literal 3 binary64))
(pow (sin b) 3)
(pow.f64 (sin.f64 b) #s(literal 3 binary64))
(pow (sin b) 3)
(pow.f64 (sin.f64 b) #s(literal 3 binary64))

eval214.0ms (1.8%)

Compiler: Compiled 37847 to 3363 computations (91.1% saved)

prune309.0ms (2.5%)

Pruning

90 alts after pruning (84 fresh and 6 done)

	Pruned	Kept	Total
New	1435	36	1471
Fresh	24	48	72
Picked	1	4	5
Done	0	2	2
Total	1460	90	1550

Accuracy

99.9%

Counts

1550 → 90

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.7%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
	31.0%	(/.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 b)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))))
	46.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))) (.f64 r b)) (cos.f64 (+.f64 b a)))
	75.8%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
	64.6%	(/.f64 (.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	98.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	62.0%	(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
	52.2%	(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
▶	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))
	99.1%	(/.f64 (.f64 r (sin.f64 b)) (/.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 #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)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
✓	57.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	48.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
	33.3%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) a)))
▶	75.7%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
	17.4%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 b b))))
	18.3%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 a (-.f64 a b)))))
	15.2%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 a a))))
	71.9%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a))))))
	60.5%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(literal 0 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))))
	61.7%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (.f64 b (+.f64 (+.f64 (.f64 a (/.f64 #s(literal -1 binary64) b)) (.f64 a #s(literal 0 binary64))) #s(literal -1 binary64)))))
	19.1%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a)))) #s(literal -1 binary64)))))
✓	60.6%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
	51.0%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	36.5%	(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
	31.2%	(/.f64 (.f64 r b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	31.0%	(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
	31.1%	(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 a a) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64)))))
	31.1%	(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))))
	47.1%	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
✓	46.9%	(/.f64 (*.f64 r b) (cos.f64 a))
	75.7%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	57.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)) (.f64 (sin.f64 b) r)))
	60.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
▶	5.4%	(-.f64 #s(literal 0 binary64) (/.f64 r a))
	47.4%	(.f64 (pow.f64 (/.f64 (+.f64 (.f64 b (*.f64 b #s(literal -1/6 binary64))) #s(literal -1 binary64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	29.0%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	98.6%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.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 (+.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) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	98.6%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	99.1%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	98.9%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.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 #s(literal 1 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 (cos.f64 b) (cos.f64 a)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	50.9%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 r (cos.f64 a))))
	26.6%	(.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a))) r)
	16.2%	(.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
	31.0%	(.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (cos.f64 b)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))) r)
	41.7%	(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (cos.f64 (+.f64 b a))) r)
	54.5%	(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) r)
	7.1%	(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 a)) r)
	2.6%	(.f64 (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
	2.6%	(.f64 (/.f64 (/.f64 (.f64 b (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 b b) #s(literal 13/120 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
	2.6%	(.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
	41.7%	(.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))) (sin.f64 b))) (cos.f64 (+.f64 b a))) r)
	41.8%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) r)
	46.6%	(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
	46.7%	(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
	98.7%	(.f64 (/.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))))) r)
	48.1%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/24 binary64) (.f64 b (.f64 b #s(literal -1/720 binary64)))))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	47.9%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b #s(literal 1/24 binary64)))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	49.2%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 b b) #s(literal -1/5040 binary64)))))))) (sin.f64 a)))) r)
	50.6%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a)))) r)
	52.1%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 b b)))) (sin.f64 a)))) r)
✓	99.5%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	52.3%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	47.8%	(.f64 (/.f64 (sin.f64 b) (+.f64 (.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)))) r)
▶	60.6%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	51.0%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
	46.9%	(*.f64 (/.f64 b (cos.f64 a)) r)
	32.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (/.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
	75.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) r)
	75.7%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	60.6%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (.f64 (sin.f64 b) r))
	98.8%	(.f64 (.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))) r)
	41.7%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	75.8%	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a))) r)
	60.7%	(*.f64 (tan.f64 b) r)
	60.6%	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
	57.5%	(.f64 (sin.f64 b) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
	60.6%	(.f64 (sin.f64 b) (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 b))))
✓	32.1%	(*.f64 r b)
	46.9%	(*.f64 b (/.f64 r (cos.f64 a)))
	31.5%	(.f64 b (+.f64 r (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
	31.6%	(.f64 b (+.f64 r (.f64 r (.f64 #s(literal 1/3 binary64) (.f64 b b)))))
	31.5%	(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/120 binary64)) (-.f64 (.f64 b (.f64 b (-.f64 (.f64 r #s(literal -1/5040 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (+.f64 (.f64 r #s(literal -1/720 binary64)) (.f64 r #s(literal 1/72 binary64))))))) (+.f64 (.f64 r #s(literal -1/6 binary64)) (.f64 r #s(literal 1/24 binary64))))))) (.f64 r #s(literal 1/3 binary64)))))))
	29.9%	(.f64 b (.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
	46.9%	(.f64 b (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
	75.3%	(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) #s(literal -1 binary64)))
	32.3%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	18.5%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 a) (.f64 r b))) #s(literal -1 binary64)))
▶	26.8%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 r (tan.f64 b)))) #s(literal -1 binary64)))

Compiler

Compiled 4179 to 2653 computations (36.5% saved)

simplify201.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	13440	(.f64 (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))
✓	cost-diff	13440	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
✓	cost-diff	256	(.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 r (tan.f64 b)))) #s(literal -1 binary64))
✓	cost-diff	13056	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
✓	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 (/.f64 (sin.f64 b) (cos.f64 b)) r)
✓	cost-diff	0	(/.f64 r a)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 r a))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	6400	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
✓	cost-diff	6400	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))

Rules

3074×	`-lowering-.f32`
3074×	`-lowering-.f64`
1678×	`sum3-define`
1514×	`/-lowering-/.f32`
1514×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	203
1	77	199
2	177	159
3	439	159
4	1205	159
5	2702	159
6	3367	159
7	4308	159
8	6536	159
0	8323	159

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
(* r (sin b))
r
(sin b)
b
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))
(cos b)
(cos a)
a
(* (sin b) (- 0 (sin a)))
(- 0 (sin a))
0
(sin a)
(- 0 (/ r a))
0
(/ r a)
r
a
(* (/ (sin b) (cos b)) r)
(/ (sin b) (cos b))
(sin b)
b
(cos b)
r
(exp (* (log (/ 1 (* r (tan b)))) -1))
(* (log (/ 1 (* r (tan b)))) -1)
(log (/ 1 (* r (tan b))))
(/ 1 (* r (tan b)))
1
(* r (tan b))
r
(tan b)
b
-1
(/ (* r (sin b)) (* (* (cos (- b a)) (cos (+ b a))) (/ 1 (cos (- b a)))))
(* r (sin b))
r
(sin b)
b
(* (* (cos (- b a)) (cos (+ b a))) (/ 1 (cos (- b a))))
(* (cos (- b a)) (cos (+ b a)))
(cos (- b a))
(- b a)
a
(cos (+ b a))
(+ b a)
(/ 1 (cos (- b a)))
1

Outputs
(/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
(cos b)
(cos.f64 b)
(cos a)
(cos.f64 a)
a
(* (sin b) (- 0 (sin a)))
(*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))
(- 0 (sin a))
(-.f64 #s(literal 0 binary64) (sin.f64 a))
0
#s(literal 0 binary64)
(sin a)
(sin.f64 a)
(- 0 (/ r a))
(-.f64 #s(literal 0 binary64) (/.f64 r a))
0
#s(literal 0 binary64)
(/ r a)
(/.f64 r a)
r
a
(* (/ (sin b) (cos b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(sin b)
(sin.f64 b)
b
(cos b)
(cos.f64 b)
r
(exp (* (log (/ 1 (* r (tan b)))) -1))
(*.f64 r (tan.f64 b))
(* (log (/ 1 (* r (tan b)))) -1)
(log.f64 (*.f64 r (tan.f64 b)))
(log (/ 1 (* r (tan b))))
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b)))
(/ 1 (* r (tan b)))
(/.f64 (/.f64 #s(literal 1 binary64) r) (tan.f64 b))
1
#s(literal 1 binary64)
(* r (tan b))
(*.f64 r (tan.f64 b))
r
(tan b)
(tan.f64 b)
b
-1
#s(literal -1 binary64)
(/ (* r (sin b)) (* (* (cos (- b a)) (cos (+ b a))) (/ 1 (cos (- b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(* r (sin b))
(*.f64 r (sin.f64 b))
r
(sin b)
(sin.f64 b)
b
(* (* (cos (- b a)) (cos (+ b a))) (/ 1 (cos (- b a))))
(cos.f64 (+.f64 b a))
(* (cos (- b a)) (cos (+ b a)))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))
(cos (- b a))
(cos.f64 (-.f64 b a))
(- b a)
(-.f64 b a)
a
(cos (+ b a))
(cos.f64 (+.f64 b a))
(+ b a)
(+.f64 b a)
(/ 1 (cos (- b a)))
(/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))
1
#s(literal 1 binary64)

localize246.0ms (2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
✓	accuracy	99.8%	(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))
✓	accuracy	88.6%	(cos.f64 (+.f64 b a))
✓	accuracy	88.6%	(cos.f64 (-.f64 b a))
✓	accuracy	99.9%	(*.f64 r (tan.f64 b))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))
✓	accuracy	96.3%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
✓	accuracy	95.8%	(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
✓	accuracy	100.0%	(sin.f64 b)
✓	accuracy	100.0%	(cos.f64 b)
✓	accuracy	99.9%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
✓	accuracy	99.8%	(/.f64 (sin.f64 b) (cos.f64 b))
✓	accuracy	100.0%	(/.f64 r a)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 r a))
✓	accuracy	99.9%	(*.f64 r (sin.f64 b))
✓	accuracy	99.9%	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))
✓	accuracy	99.8%	(*.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))
✓	accuracy	99.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a)))))

Results

120.0ms	91×	1	valid
60.0ms	133×	0	invalid
13.0ms	32×	0	valid

Compiler

Compiled 207 to 34 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 32.0ms (19.8% of total)

ival-cos: 29.0ms (18% of total)

backward-pass: 22.0ms (13.6% of total)

compiled-spec: 20.0ms (12.4% of total)

ival-sin: 19.0ms (11.8% of total)

ival-div: 13.0ms (8% of total)

ival-tan: 8.0ms (5% of total)

ival-sub: 7.0ms (4.3% of total)

ival-add: 4.0ms (2.5% of total)

ival-log: 4.0ms (2.5% of total)

ival-exp: 3.0ms (1.9% of total)

const: 1.0ms (0.6% of total)

series138.0ms (1.1%)

Counts

20 → 468

Calls

Call 1

Inputs
#<alt (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a)))))>
#<alt (+ (* (cos b) (cos a)) (* (sin b) (- 0 (sin a))))>
#<alt (* r (sin b))>
#<alt (sin b)>
#<alt (- 0 (/ r a))>
#<alt (/ r a)>
#<alt (* (/ (sin b) (cos b)) r)>
#<alt (/ (sin b) (cos b))>
#<alt (cos b)>
#<alt (exp (* (log (/ 1 (* r (tan b)))) -1))>
#<alt (* (log (/ 1 (* r (tan b)))) -1)>
#<alt (log (/ 1 (* r (tan b))))>
#<alt (/ 1 (* r (tan b)))>
#<alt (/ (* r (sin b)) (* (* (cos (- b a)) (cos (+ b a))) (/ 1 (cos (- b a)))))>
#<alt (* (* (cos (- b a)) (cos (+ b a))) (/ 1 (cos (- b a))))>
#<alt (* (sin b) (- 0 (sin a)))>
#<alt (* r (tan b))>
#<alt (cos (- b a))>
#<alt (cos (+ b a))>
#<alt (* (cos (- b a)) (cos (+ b a)))>

Outputs
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))>
#<alt (* 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>
#<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 (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (* -1 (/ r a))>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (/ r a)>
#<alt (* b r)>
#<alt (* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<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 (/ (* 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>
#<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 b 2)))>
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (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 (+ (log (/ (cos b) (sin b))) (* -1 (log r))))>
#<alt (* -1 (+ (log (/ (cos b) (sin b))) (* -1 (log r))))>
#<alt (* -1 (+ (log (/ (cos b) (sin b))) (* -1 (log r))))>
#<alt (* -1 (+ (log (/ (cos b) (sin b))) (* -1 (log r))))>
#<alt (* -1 (+ (log (/ 1 r)) (log (/ (cos b) (sin b)))))>
#<alt (* -1 (+ (log (/ 1 r)) (log (/ (cos b) (sin b)))))>
#<alt (* -1 (+ (log (/ 1 r)) (log (/ (cos b) (sin b)))))>
#<alt (* -1 (+ (log (/ 1 r)) (log (/ (cos b) (sin b)))))>
#<alt (* -1 (+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r))))>
#<alt (* -1 (+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r))))>
#<alt (* -1 (+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r))))>
#<alt (* -1 (+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r))))>
#<alt (* -1 (+ (log (/ 1 r)) (* -1 (log b))))>
#<alt (+ (* -1 (+ (log (/ 1 r)) (* -1 (log b)))) (* 1/3 (pow b 2)))>
#<alt (+ (* -1 (+ (log (/ 1 r)) (* -1 (log b)))) (* (pow b 2) (+ 1/3 (* 7/90 (pow b 2)))))>
#<alt (+ (* -1 (+ (log (/ 1 r)) (* -1 (log b)))) (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 7/90 (* 62/2835 (pow b 2)))))))>
#<alt (* -1 (log (/ (cos b) (* r (sin b)))))>
#<alt (* -1 (log (/ (cos b) (* r (sin b)))))>
#<alt (* -1 (log (/ (cos b) (* r (sin b)))))>
#<alt (* -1 (log (/ (cos b) (* r (sin b)))))>
#<alt (* -1 (log (/ (cos b) (* r (sin b)))))>
#<alt (* -1 (log (/ (cos b) (* r (sin b)))))>
#<alt (* -1 (log (/ (cos b) (* r (sin b)))))>
#<alt (* -1 (log (/ (cos b) (* r (sin b)))))>
#<alt (+ (log (/ (cos b) (sin b))) (* -1 (log r)))>
#<alt (+ (log (/ (cos b) (sin b))) (* -1 (log r)))>
#<alt (+ (log (/ (cos b) (sin b))) (* -1 (log r)))>
#<alt (+ (log (/ (cos b) (sin b))) (* -1 (log r)))>
#<alt (+ (log (/ 1 r)) (log (/ (cos b) (sin b))))>
#<alt (+ (log (/ 1 r)) (log (/ (cos b) (sin b))))>
#<alt (+ (log (/ 1 r)) (log (/ (cos b) (sin b))))>
#<alt (+ (log (/ 1 r)) (log (/ (cos b) (sin b))))>
#<alt (+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r)))>
#<alt (+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r)))>
#<alt (+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r)))>
#<alt (+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r)))>
#<alt (+ (log (/ 1 r)) (* -1 (log b)))>
#<alt (+ (log (/ 1 r)) (+ (* -1 (log b)) (* -1/3 (pow b 2))))>
#<alt (+ (log (/ 1 r)) (+ (* -1 (log b)) (* (pow b 2) (- (* -7/90 (pow b 2)) 1/3))))>
#<alt (+ (log (/ 1 r)) (+ (* -1 (log b)) (* (pow b 2) (- (* (pow b 2) (- (* -62/2835 (pow b 2)) 7/90)) 1/3))))>
#<alt (log (/ (cos b) (* r (sin b))))>
#<alt (log (/ (cos b) (* r (sin b))))>
#<alt (log (/ (cos b) (* r (sin b))))>
#<alt (log (/ (cos b) (* r (sin b))))>
#<alt (log (/ (cos b) (* r (sin b))))>
#<alt (log (/ (cos b) (* r (sin b))))>
#<alt (log (/ (cos b) (* r (sin b))))>
#<alt (log (/ (cos b) (* r (sin b))))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ 1 (* b r))>
#<alt (/ (+ (* -1/3 (/ (pow b 2) r)) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (- (* -1/45 (/ (pow b 2) r)) (* 1/3 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ (+ (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (/ (pow b 2) r)) (* 1/45 (/ 1 r)))) (* 1/3 (/ 1 r)))) (/ 1 r)) b)>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (cos b) (* r (sin b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (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 (* -1 (* b (sin a)))>
#<alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))>
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* a (sin b)))>
#<alt (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))>
#<alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (* -1 (* (sin a) (sin b)))>
#<alt (/ (* 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 (cos (neg a))>
#<alt (+ (cos (neg a)) (* -1 (* b (sin (neg a)))))>
#<alt (+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))>
#<alt (+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))>
#<alt (cos (- b a))>
#<alt (cos (- b a))>
#<alt (cos (- b a))>
#<alt (cos (- b a))>
#<alt (cos (neg (+ a (* -1 b))))>
#<alt (cos (neg (+ a (* -1 b))))>
#<alt (cos (neg (+ a (* -1 b))))>
#<alt (cos (neg (+ a (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin b)))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))>
#<alt (cos (- b a))>
#<alt (cos (- b a))>
#<alt (cos (- b a))>
#<alt (cos (- b a))>
#<alt (cos (+ b (* -1 a)))>
#<alt (cos (+ b (* -1 a)))>
#<alt (cos (+ b (* -1 a)))>
#<alt (cos (+ b (* -1 a)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (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) (cos (neg a)))>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a))))>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a))))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))>
#<alt (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))>
#<alt (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))>
#<alt (* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))>
#<alt (pow (cos b) 2)>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2))>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2))>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ a b)) (cos (- b a)))>
#<alt (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))>
#<alt (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))>
#<alt (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))>
#<alt (* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))>

Calls

117 calls:

Time	Variable		Point	Expression
44.0ms	r	@	-inf	(* (log (/ 1 (* r (tan b)))) -1)
25.0ms	r	@	0	(* (log (/ 1 (* r (tan b)))) -1)
20.0ms	b	@	-inf	(* (log (/ 1 (* r (tan b)))) -1)
19.0ms	b	@	inf	(* (log (/ 1 (* r (tan b)))) -1)
8.0ms	r	@	inf	(* (log (/ 1 (* r (tan b)))) -1)

rewrite356.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3660×	`-lowering-.f32`
3660×	`-lowering-.f64`
3480×	`/-lowering-/.f32`
3480×	`/-lowering-/.f64`
1936×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	132
1	181	96
2	1596	94
0	8741	94

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 943

Calls

Call 1

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

simplify316.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3984×	`-lowering-.f32`
3984×	`-lowering-.f64`
2022×	`+-lowering-+.f64`
2022×	`+-lowering-+.f32`
1820×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	482	4616
1	1692	4234
2	5898	4230
0	8278	4230

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* 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
(* 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)
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(* -1 (/ r a))
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(/ r a)
(* 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))
(/ (* 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
(* 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)
(/ (* 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 (* 1/3 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))
(* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 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))
(* -1 (+ (log (/ (cos b) (sin b))) (* -1 (log r))))
(* -1 (+ (log (/ (cos b) (sin b))) (* -1 (log r))))
(* -1 (+ (log (/ (cos b) (sin b))) (* -1 (log r))))
(* -1 (+ (log (/ (cos b) (sin b))) (* -1 (log r))))
(* -1 (+ (log (/ 1 r)) (log (/ (cos b) (sin b)))))
(* -1 (+ (log (/ 1 r)) (log (/ (cos b) (sin b)))))
(* -1 (+ (log (/ 1 r)) (log (/ (cos b) (sin b)))))
(* -1 (+ (log (/ 1 r)) (log (/ (cos b) (sin b)))))
(* -1 (+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r))))
(* -1 (+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r))))
(* -1 (+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r))))
(* -1 (+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r))))
(* -1 (+ (log (/ 1 r)) (* -1 (log b))))
(+ (* -1 (+ (log (/ 1 r)) (* -1 (log b)))) (* 1/3 (pow b 2)))
(+ (* -1 (+ (log (/ 1 r)) (* -1 (log b)))) (* (pow b 2) (+ 1/3 (* 7/90 (pow b 2)))))
(+ (* -1 (+ (log (/ 1 r)) (* -1 (log b)))) (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 7/90 (* 62/2835 (pow b 2)))))))
(* -1 (log (/ (cos b) (* r (sin b)))))
(* -1 (log (/ (cos b) (* r (sin b)))))
(* -1 (log (/ (cos b) (* r (sin b)))))
(* -1 (log (/ (cos b) (* r (sin b)))))
(* -1 (log (/ (cos b) (* r (sin b)))))
(* -1 (log (/ (cos b) (* r (sin b)))))
(* -1 (log (/ (cos b) (* r (sin b)))))
(* -1 (log (/ (cos b) (* r (sin b)))))
(+ (log (/ (cos b) (sin b))) (* -1 (log r)))
(+ (log (/ (cos b) (sin b))) (* -1 (log r)))
(+ (log (/ (cos b) (sin b))) (* -1 (log r)))
(+ (log (/ (cos b) (sin b))) (* -1 (log r)))
(+ (log (/ 1 r)) (log (/ (cos b) (sin b))))
(+ (log (/ 1 r)) (log (/ (cos b) (sin b))))
(+ (log (/ 1 r)) (log (/ (cos b) (sin b))))
(+ (log (/ 1 r)) (log (/ (cos b) (sin b))))
(+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r)))
(+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r)))
(+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r)))
(+ (log (* -1 (/ (cos b) (sin b)))) (log (/ -1 r)))
(+ (log (/ 1 r)) (* -1 (log b)))
(+ (log (/ 1 r)) (+ (* -1 (log b)) (* -1/3 (pow b 2))))
(+ (log (/ 1 r)) (+ (* -1 (log b)) (* (pow b 2) (- (* -7/90 (pow b 2)) 1/3))))
(+ (log (/ 1 r)) (+ (* -1 (log b)) (* (pow b 2) (- (* (pow b 2) (- (* -62/2835 (pow b 2)) 7/90)) 1/3))))
(log (/ (cos b) (* r (sin b))))
(log (/ (cos b) (* r (sin b))))
(log (/ (cos b) (* r (sin b))))
(log (/ (cos b) (* r (sin b))))
(log (/ (cos b) (* r (sin b))))
(log (/ (cos b) (* r (sin b))))
(log (/ (cos b) (* r (sin b))))
(log (/ (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) (* r (sin b)))
(/ (cos b) (* r (sin b)))
(/ 1 (* b r))
(/ (+ (* -1/3 (/ (pow b 2) r)) (/ 1 r)) b)
(/ (+ (* (pow b 2) (- (* -1/45 (/ (pow b 2) r)) (* 1/3 (/ 1 r)))) (/ 1 r)) b)
(/ (+ (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (/ (pow b 2) r)) (* 1/45 (/ 1 r)))) (* 1/3 (/ 1 r)))) (/ 1 r)) 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)))
(/ (* 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))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(/ (* 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 (* 1/3 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))
(* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 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))
(cos (neg a))
(+ (cos (neg a)) (* -1 (* b (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos b)
(+ (cos b) (* a (sin b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(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)))
(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 (neg a)))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a))))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a))))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(pow (cos b) 2)
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))

Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (*.f64 r b) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 b (+.f64 (/.f64 r (cos.f64 a)) (/.f64 (.f64 r (*.f64 b (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))
(* 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 (+.f64 (/.f64 r (cos.f64 a)) (.f64 b (+.f64 (.f64 b (-.f64 (/.f64 (.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.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 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))))
(* 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 (+.f64 (/.f64 r (cos.f64 a)) (.f64 b (+.f64 (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (.f64 b (-.f64 (-.f64 (/.f64 (.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (.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 (sin.f64 a) (/.f64 (-.f64 (/.f64 (.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.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 (.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))))))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (/.f64 (.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) 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)))
(+.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) (.f64 a (+.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (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 #s(literal 0 binary64) 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 (+ (* -1/2 (/ (* 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)))
(+.f64 (/.f64 (.f64 r (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 (.f64 (+.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (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 (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))) (-.f64 #s(literal 0 binary64) a)) (-.f64 (/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 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 (sin a)) (* -1/2 (* b (cos a))))))
(+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+.f64 (cos.f64 a) (.f64 b (+.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (.f64 (sin.f64 a) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) #s(literal -1 binary64))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.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 (sin b)) (* -1/2 (* a (cos b))))))
(+.f64 (cos.f64 b) (.f64 a (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+.f64 (cos.f64 b) (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (cos.f64 b))) (.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a a)))))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* b r)
(*.f64 r b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(.f64 b (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 b b))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
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(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/3 binary64)) (.f64 (.f64 b b) (.f64 r (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(cos (neg a))
(cos.f64 a)
(+ (cos (neg a)) (* -1 (* b (sin (neg a)))))
(+.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))
(+.f64 (cos.f64 a) (.f64 b (+.f64 (sin.f64 a) (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))))))
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))
(+.f64 (cos.f64 a) (.f64 b (+.f64 (sin.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) (.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64))))))))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 a b))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 a b))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 a b))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 a b))
(cos b)
(cos.f64 b)
(+ (cos b) (* a (sin b)))
(+.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))
(+.f64 (cos.f64 b) (.f64 a (+.f64 (sin.f64 b) (.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))
(+.f64 (cos.f64 b) (.f64 a (+.f64 (sin.f64 b) (.f64 a (+.f64 (.f64 (cos.f64 b) #s(literal -1/2 binary64)) (.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 b) a)))))))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (- b a))
(cos.f64 (-.f64 a b))
(cos (+ b (* -1 a)))
(cos.f64 (-.f64 a b))
(cos (+ b (* -1 a)))
(cos.f64 (-.f64 a b))
(cos (+ b (* -1 a)))
(cos.f64 (-.f64 a b))
(cos (+ b (* -1 a)))
(cos.f64 (-.f64 a b))
(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))))
(+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(+.f64 (cos.f64 a) (.f64 b (+.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (.f64 (sin.f64 a) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) #s(literal -1 binary64))))))
(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))
(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))))
(+.f64 (cos.f64 b) (.f64 a (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(+.f64 (cos.f64 b) (.f64 a (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (cos.f64 b))) (.f64 (sin.f64 b) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a 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 (- 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 (neg a)))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))
(+.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (.f64 b (.f64 (cos.f64 a) (+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 a)))))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a))))
(+.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (.f64 b (+.f64 (.f64 (cos.f64 a) (+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 a))) (.f64 b (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg a))))
(+.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (.f64 b (+.f64 (.f64 (cos.f64 a) (+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 a))) (.f64 b (-.f64 (-.f64 (.f64 b (+.f64 (.f64 (.f64 (cos.f64 a) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 a))) (.f64 (.f64 (cos.f64 a) #s(literal 1/6 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 a)) (sin.f64 a))))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))))
(* (cos (+ a b)) (cos (- b a)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (+ a b)) (cos (- b a)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (+ a b)) (cos (- b a)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (+ a b)) (cos (- b a)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(pow (cos b) 2)
(pow.f64 (cos.f64 b) #s(literal 2 binary64))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2))
(+.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 a #s(literal 0 binary64)))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2))
(+.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 a (-.f64 #s(literal 0 binary64) a)))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2))
(+.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (.f64 a (+.f64 (.f64 a (+.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 (sin.f64 b) (.f64 (cos.f64 b) #s(literal -1/2 binary64))) (.f64 (sin.f64 b) (*.f64 (cos.f64 b) #s(literal 1/2 binary64))))))) #s(literal 0 binary64))))
(* (cos (+ a b)) (cos (- b a)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (+ a b)) (cos (- b a)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (+ a b)) (cos (- b a)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (+ a b)) (cos (- b a)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))

eval190.0ms (1.6%)

Compiler: Compiled 37432 to 3188 computations (91.5% saved)

prune331.0ms (2.7%)

Pruning

108 alts after pruning (101 fresh and 7 done)

	Pruned	Kept	Total
New	1545	29	1574
Fresh	7	72	79
Picked	4	1	5
Done	0	6	6
Total	1556	108	1664

Accuracy

99.9%

Counts

1664 → 108

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (*.f64 r (tan.f64 b))))
	26.4%	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 r (tan.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1/2 binary64))
	26.7%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))
	75.7%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
	31.0%	(/.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 b)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))))
	1.7%	(/.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 a (.f64 a a))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
	5.8%	(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a))
	46.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))) (.f64 r b)) (cos.f64 (+.f64 b a)))
	75.8%	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
	64.6%	(/.f64 (.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	98.9%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
✓	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
	62.0%	(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))
	52.2%	(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
	99.3%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (sin.f64 b)) (sin.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	99.1%	(/.f64 (.f64 r (sin.f64 b)) (/.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 #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)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))))
	75.1%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (+.f64 a (+.f64 b a))))) (.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
	75.0%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (+.f64 (cos.f64 (+.f64 (+.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (+.f64 a (+.f64 b a)))))) #s(literal 2 binary64)))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
✓	57.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	48.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))))
	61.5%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
	52.8%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
	60.6%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
	50.8%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
	17.4%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 b b))))
	18.3%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 a (-.f64 a b)))))
	15.2%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 a a))))
	71.9%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a))))))
	60.5%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(literal 0 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))))
	61.7%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (.f64 b (+.f64 (+.f64 (.f64 a (/.f64 #s(literal -1 binary64) b)) (.f64 a #s(literal 0 binary64))) #s(literal -1 binary64)))))
	19.1%	(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a)))) #s(literal -1 binary64)))))
✓	60.6%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
	51.0%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	36.5%	(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
	31.2%	(/.f64 (.f64 r b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
	31.0%	(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
	31.1%	(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 a a) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64)))))
	31.1%	(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))))
	47.1%	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
✓	46.9%	(/.f64 (*.f64 r b) (cos.f64 a))
	75.7%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	60.5%	(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
	57.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)) (.f64 (sin.f64 b) r)))
	60.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b))))
	5.4%	(/.f64 #s(literal -1 binary64) (/.f64 a r))
	2.5%	(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a r)) #s(literal -1 binary64))))
	60.2%	(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
	47.4%	(.f64 (pow.f64 (/.f64 (+.f64 (.f64 b (*.f64 b #s(literal -1/6 binary64))) #s(literal -1 binary64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	29.0%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	60.6%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (tan.f64 b))
	98.6%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.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 (+.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) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	98.6%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	99.1%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	98.9%	(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.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 #s(literal 1 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 (cos.f64 b) (cos.f64 a)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
	50.9%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 r (cos.f64 a))))
	26.6%	(.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a))) r)
	16.2%	(.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
	31.0%	(.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (cos.f64 b)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))) r)
	41.7%	(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (cos.f64 (+.f64 b a))) r)
	54.5%	(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) r)
	7.1%	(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 a)) r)
	2.6%	(.f64 (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
	2.6%	(.f64 (/.f64 (/.f64 (.f64 b (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 b b) #s(literal 13/120 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
	2.6%	(.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
	41.7%	(.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))) (sin.f64 b))) (cos.f64 (+.f64 b a))) r)
	41.8%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) r)
	1.6%	(.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
	46.6%	(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
	46.7%	(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
	98.7%	(.f64 (/.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))))) r)
	48.1%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/24 binary64) (.f64 b (.f64 b #s(literal -1/720 binary64)))))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	47.9%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b #s(literal 1/24 binary64)))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	49.2%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 b b) #s(literal -1/5040 binary64)))))))) (sin.f64 a)))) r)
	50.6%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a)))) r)
	52.1%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 b b)))) (sin.f64 a)))) r)
✓	99.5%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	52.3%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	47.8%	(.f64 (/.f64 (sin.f64 b) (+.f64 (.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)))) r)
✓	60.6%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	51.0%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
	46.9%	(*.f64 (/.f64 b (cos.f64 a)) r)
	75.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) r)
	75.7%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
	60.6%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (.f64 (sin.f64 b) r))
	98.8%	(.f64 (.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))) r)
	31.5%	(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 b b) #s(literal 2/15 binary64))) b) b))) r)
	31.5%	(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/3 binary64)))) r)
	31.5%	(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 1/3 binary64) (.f64 b (.f64 b (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 b b) #s(literal 17/315 binary64)))))))))) r)
	60.7%	(*.f64 (tan.f64 b) r)
	60.6%	(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
	57.5%	(.f64 (sin.f64 b) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
	28.1%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64))) r)
	26.8%	(*.f64 (exp.f64 (log.f64 (tan.f64 b))) (exp.f64 (log.f64 r)))
	5.4%	(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a)))
✓	32.1%	(*.f64 r b)
	46.9%	(*.f64 b (/.f64 r (cos.f64 a)))
	31.6%	(.f64 b (+.f64 r (.f64 r (.f64 #s(literal 1/3 binary64) (.f64 b b)))))
	31.5%	(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/3 binary64)) (.f64 (.f64 b b) (.f64 r (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))))
	29.9%	(.f64 b (.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
	46.9%	(.f64 b (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
	75.3%	(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) #s(literal -1 binary64)))
	5.4%	(neg.f64 (/.f64 r a))
	26.8%	(exp.f64 (+.f64 (log.f64 (tan.f64 b)) (log.f64 r)))
	32.3%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	18.5%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 a) (.f64 r b))) #s(literal -1 binary64)))
	31.7%	(exp.f64 (log.f64 (*.f64 r (tan.f64 b))))

Compiler

Compiled 5569 to 2204 computations (60.4% saved)

regimes227.0ms (1.9%)

Counts

165 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(-.f64 #s(literal 0 binary64) (/.f64 r a))
(/.f64 #s(literal -1 binary64) (/.f64 a r))
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(.f64 b (+.f64 r (.f64 r (.f64 #s(literal 1/3 binary64) (.f64 b b)))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/3 binary64)))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 b b) #s(literal 2/15 binary64))) b) b))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 a (.f64 a a))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 1/3 binary64) (.f64 b (.f64 b (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 b b) #s(literal 17/315 binary64)))))))))) r)
(.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 a a) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64)))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/3 binary64)) (.f64 (.f64 b b) (.f64 r (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))))
(.f64 b (+.f64 r (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/120 binary64)) (-.f64 (.f64 b (.f64 b (-.f64 (.f64 r #s(literal -1/5040 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (+.f64 (.f64 r #s(literal -1/720 binary64)) (.f64 r #s(literal 1/72 binary64))))))) (+.f64 (.f64 r #s(literal -1/6 binary64)) (.f64 r #s(literal 1/24 binary64))))))) (.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(.f64 b (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 b (cos.f64 (+.f64 b a))) r)
(/.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 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))) (.f64 r b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1/120 binary64) (.f64 b (.f64 b #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r b) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))))))
(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 b b) #s(literal -1/5040 binary64))))))))) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (tan.f64 b))
(.f64 (sin.f64 b) (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 b))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (.f64 (sin.f64 b) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a r)) #s(literal -1 binary64))))
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(/.f64 (.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (sin.f64 b))) (fma.f64 (-.f64 #s(literal 0 binary64) (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) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b 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))))) (cos.f64 (-.f64 b a)))))
(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))) r)
(.f64 (.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))) r)
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.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 (+.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) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (.f64 r (sin.f64 b)) (/.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 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))
(/.f64 (.f64 r (sin.f64 b)) (/.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 #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)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))))))))
(/.f64 (.f64 r (sin.f64 b)) (/.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 #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 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (-.f64 #s(literal 0 binary64) (sin.f64 a))))))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.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 #s(literal 1 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 (cos.f64 b) (cos.f64 a)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b)))))))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(.f64 (/.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))))) r)
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))) (.f64 (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.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 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (.f64 (sin.f64 a) (-.f64 #s(literal 0 binary64) (sin.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))

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

Calls

4 calls:

69.0ms	b
47.0ms	r
46.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
43.0ms	a

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes187.0ms (1.5%)

Counts

145 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(-.f64 #s(literal 0 binary64) (/.f64 r a))
(/.f64 #s(literal -1 binary64) (/.f64 a r))
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(.f64 b (+.f64 r (.f64 r (.f64 #s(literal 1/3 binary64) (.f64 b b)))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/3 binary64)))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 b b) #s(literal 2/15 binary64))) b) b))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 a (.f64 a a))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 1/3 binary64) (.f64 b (.f64 b (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 b b) #s(literal 17/315 binary64)))))))))) r)
(.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 a a) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64)))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/3 binary64)) (.f64 (.f64 b b) (.f64 r (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))))
(.f64 b (+.f64 r (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/120 binary64)) (-.f64 (.f64 b (.f64 b (-.f64 (.f64 r #s(literal -1/5040 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (+.f64 (.f64 r #s(literal -1/720 binary64)) (.f64 r #s(literal 1/72 binary64))))))) (+.f64 (.f64 r #s(literal -1/6 binary64)) (.f64 r #s(literal 1/24 binary64))))))) (.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(.f64 b (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 b (cos.f64 (+.f64 b a))) r)
(/.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 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))) (.f64 r b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1/120 binary64) (.f64 b (.f64 b #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r b) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))))))
(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 b b) #s(literal -1/5040 binary64))))))))) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (tan.f64 b))
(.f64 (sin.f64 b) (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 b))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (.f64 (sin.f64 b) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a r)) #s(literal -1 binary64))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) r) (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) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (.f64 r b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) a)))
(.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (.f64 r (/.f64 #s(literal -1 binary64) (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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) r)
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) r)
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 #s(literal 0 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a))))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (.f64 b (+.f64 (+.f64 (.f64 a (/.f64 #s(literal -1 binary64) b)) (.f64 a #s(literal 0 binary64))) #s(literal -1 binary64)))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 (.f64 b b) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 b a)))))
(.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 a a))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 b b))))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 a (-.f64 a b)))))
(.f64 (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))))))
(.f64 (/.f64 (/.f64 (.f64 b (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 b b) #s(literal 13/120 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
(exp.f64 (log.f64 (*.f64 r (tan.f64 b))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 r (tan.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 a) (.f64 r b))) #s(literal -1 binary64)))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b))) #s(literal -1 binary64))) r)
(/.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 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 r (cos.f64 a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 r (cos.f64 b))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(.f64 (sin.f64 b) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)) (.f64 (sin.f64 b) r)))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 r (tan.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r))) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a))) r)
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r)))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (sin.f64 b)) (cos.f64 (+.f64 b a))) r)
(.f64 (/.f64 (sin.f64 b) (+.f64 (.f64 b (-.f64 #s(literal 0 binary64) (sin.f64 a))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (cos.f64 a)))) r)
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) r)
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 b (*.f64 b #s(literal -1/6 binary64))) #s(literal -1 binary64)) b) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 b) a)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))) (cos.f64 b))))
(exp.f64 (+.f64 (log.f64 (tan.f64 b)) (log.f64 r)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 a) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 b) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(/.f64 (.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a)))) #s(literal -1 binary64)))))
(.f64 b (+.f64 (/.f64 r (cos.f64 a)) (.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))
(.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (cos.f64 b)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64)))))) r)
(/.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (cos.f64 b)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 b #s(literal 2 binary64))))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 a) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 b) (.f64 a (-.f64 (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)))))
(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 a)) r)
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a))) r)
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 b)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))) (sin.f64 b))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (/.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 b b)))) (sin.f64 a)))) r)
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(pow.f64 (.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) #s(literal -1/2 binary64))
(.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))))) r)
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 #s(literal 0 binary64) r)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b #s(literal 1/24 binary64)))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) #s(literal 1/120 binary64))))))) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (+.f64 a (+.f64 b a))))) (.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))) (+.f64 (cos.f64 (+.f64 (+.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (+.f64 a (+.f64 b a)))))) #s(literal 2 binary64)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/24 binary64) (.f64 b (.f64 b #s(literal -1/720 binary64)))))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 b b) #s(literal -1/5040 binary64)))))))) (sin.f64 a)))) r)
(*.f64 (exp.f64 (log.f64 (tan.f64 b))) (exp.f64 (log.f64 r)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 b)) (sin.f64 a) (cos.f64 b)))

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

Calls

4 calls:

54.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
42.0ms	a
41.0ms	r
40.0ms	b

Results

Accuracy	Segments	Branch
75.8%	1	`r`
75.8%	1	`a`
75.8%	1	`b`
75.8%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes79.0ms (0.6%)

Counts

46 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(-.f64 #s(literal 0 binary64) (/.f64 r a))
(/.f64 #s(literal -1 binary64) (/.f64 a r))
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(.f64 b (+.f64 r (.f64 r (.f64 #s(literal 1/3 binary64) (.f64 b b)))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/3 binary64)))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 b b) #s(literal 2/15 binary64))) b) b))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 a (.f64 a a))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 1/3 binary64) (.f64 b (.f64 b (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 b b) #s(literal 17/315 binary64)))))))))) r)
(.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 a a) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64)))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/3 binary64)) (.f64 (.f64 b b) (.f64 r (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))))
(.f64 b (+.f64 r (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/120 binary64)) (-.f64 (.f64 b (.f64 b (-.f64 (.f64 r #s(literal -1/5040 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (+.f64 (.f64 r #s(literal -1/720 binary64)) (.f64 r #s(literal 1/72 binary64))))))) (+.f64 (.f64 r #s(literal -1/6 binary64)) (.f64 r #s(literal 1/24 binary64))))))) (.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(.f64 b (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 b (cos.f64 (+.f64 b a))) r)
(/.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 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))) (.f64 r b)) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) #s(literal 1/120 binary64)))))))) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1/120 binary64) (.f64 b (.f64 b #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r b) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))))))
(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 b b) #s(literal -1/5040 binary64))))))))) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)) (tan.f64 b))
(.f64 (sin.f64 b) (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 b))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (.f64 (sin.f64 b) r))

Outputs

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

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

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

Calls

3 calls:

46.0ms	b
16.0ms	r
13.0ms	a

Results

Accuracy	Segments	Branch
60.7%	1	`r`
75.3%	3	`a`
75.7%	3	`b`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

Counts

33 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(-.f64 #s(literal 0 binary64) (/.f64 r a))
(/.f64 #s(literal -1 binary64) (/.f64 a r))
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(.f64 b (+.f64 r (.f64 r (.f64 #s(literal 1/3 binary64) (.f64 b b)))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/3 binary64)))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 b b) #s(literal 2/15 binary64))) b) b))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 a (.f64 a a))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 1/3 binary64) (.f64 b (.f64 b (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 b b) #s(literal 17/315 binary64)))))))))) r)
(.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 a a) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64)))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/3 binary64)) (.f64 (.f64 b b) (.f64 r (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))))
(.f64 b (+.f64 r (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/120 binary64)) (-.f64 (.f64 b (.f64 b (-.f64 (.f64 r #s(literal -1/5040 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (+.f64 (.f64 r #s(literal -1/720 binary64)) (.f64 r #s(literal 1/72 binary64))))))) (+.f64 (.f64 r #s(literal -1/6 binary64)) (.f64 r #s(literal 1/24 binary64))))))) (.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(.f64 b (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 b (cos.f64 (+.f64 b a))) r)
(/.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 (*.f64 r b) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 r (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))))) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64)))) (.f64 r b)) (cos.f64 (+.f64 b a)))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
75.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Counts

30 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(-.f64 #s(literal 0 binary64) (/.f64 r a))
(/.f64 #s(literal -1 binary64) (/.f64 a r))
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(.f64 b (+.f64 r (.f64 r (.f64 #s(literal 1/3 binary64) (.f64 b b)))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/3 binary64)))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 b b) #s(literal 2/15 binary64))) b) b))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 a (.f64 a a))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 1/3 binary64) (.f64 b (.f64 b (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 b b) #s(literal 17/315 binary64)))))))))) r)
(.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 a a) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64)))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/3 binary64)) (.f64 (.f64 b b) (.f64 r (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))))
(.f64 b (+.f64 r (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/120 binary64)) (-.f64 (.f64 b (.f64 b (-.f64 (.f64 r #s(literal -1/5040 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (+.f64 (.f64 r #s(literal -1/720 binary64)) (.f64 r #s(literal 1/72 binary64))))))) (+.f64 (.f64 r #s(literal -1/6 binary64)) (.f64 r #s(literal 1/24 binary64))))))) (.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(.f64 b (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (/.f64 b (cos.f64 (+.f64 b a))) r)
(/.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 (*.f64 r b) (cos.f64 (+.f64 b a)))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
75.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Counts

26 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(-.f64 #s(literal 0 binary64) (/.f64 r a))
(/.f64 #s(literal -1 binary64) (/.f64 a r))
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(.f64 b (+.f64 r (.f64 r (.f64 #s(literal 1/3 binary64) (.f64 b b)))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/3 binary64)))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 b b) #s(literal 2/15 binary64))) b) b))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 a (.f64 a a))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 1/3 binary64) (.f64 b (.f64 b (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 b b) #s(literal 17/315 binary64)))))))))) r)
(.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 a a) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64)))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/3 binary64)) (.f64 (.f64 b b) (.f64 r (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))))
(.f64 b (+.f64 r (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/120 binary64)) (-.f64 (.f64 b (.f64 b (-.f64 (.f64 r #s(literal -1/5040 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (+.f64 (.f64 r #s(literal -1/720 binary64)) (.f64 r #s(literal 1/72 binary64))))))) (+.f64 (.f64 r #s(literal -1/6 binary64)) (.f64 r #s(literal 1/24 binary64))))))) (.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (tan.f64 b) r)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 #s(literal 1 binary64) (tan.f64 b)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))
(.f64 b (.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
75.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes37.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(-.f64 #s(literal 0 binary64) (/.f64 r a))
(/.f64 #s(literal -1 binary64) (/.f64 a r))
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(.f64 b (+.f64 r (.f64 r (.f64 #s(literal 1/3 binary64) (.f64 b b)))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/3 binary64)))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 b b) #s(literal 2/15 binary64))) b) b))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 a (.f64 a a))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 1/3 binary64) (.f64 b (.f64 b (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 b b) #s(literal 17/315 binary64)))))))))) r)
(.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 a a) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64)))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/3 binary64)) (.f64 (.f64 b b) (.f64 r (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))))
(.f64 b (+.f64 r (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/120 binary64)) (-.f64 (.f64 b (.f64 b (-.f64 (.f64 r #s(literal -1/5040 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (+.f64 (.f64 r #s(literal -1/720 binary64)) (.f64 r #s(literal 1/72 binary64))))))) (+.f64 (.f64 r #s(literal -1/6 binary64)) (.f64 r #s(literal 1/24 binary64))))))) (.f64 r #s(literal 1/3 binary64)))))))
(*.f64 (tan.f64 b) r)

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

Calls

3 calls:

22.0ms	r
6.0ms	b
6.0ms	a

Results

Accuracy	Segments	Branch
60.7%	1	`r`
60.7%	1	`a`
60.7%	1	`b`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes48.0ms (0.4%)

Accuracy

Total -20.2b remaining (-46.5%)

Threshold costs -20.2b (-46.5%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(neg.f64 (/.f64 r a))
(-.f64 #s(literal 0 binary64) (/.f64 r a))
(/.f64 #s(literal -1 binary64) (/.f64 a r))
(*.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 (+.f64 (*.f64 b a) #s(literal 1 binary64)) r))
(.f64 b (+.f64 r (.f64 r (.f64 #s(literal 1/3 binary64) (.f64 b b)))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/3 binary64)))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))) (/.f64 r a))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 b b) #s(literal 2/15 binary64))) b) b))) r)
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 a (.f64 a a))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 #s(literal 1/3 binary64) (.f64 b (.f64 b (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 b b) #s(literal 17/315 binary64)))))))))) r)
(.f64 (/.f64 (.f64 r (.f64 r r)) (.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 r a) (/.f64 a r))))
(/.f64 (.f64 r b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 a a) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64)))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/3 binary64)) (.f64 (.f64 b b) (.f64 r (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 b b) #s(literal 17/315 binary64))))))))))
(.f64 b (+.f64 r (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (*.f64 r #s(literal 1/3 binary64))))))
(.f64 b (+.f64 r (.f64 b (.f64 b (+.f64 (.f64 b (.f64 b (+.f64 (.f64 r #s(literal 1/120 binary64)) (-.f64 (.f64 b (.f64 b (-.f64 (.f64 r #s(literal -1/5040 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 r #s(literal 1/120 binary64)) (.f64 r #s(literal -1/6 binary64))) (.f64 #s(literal -1/24 binary64) r))) (+.f64 (.f64 r #s(literal -1/720 binary64)) (.f64 r #s(literal 1/72 binary64))))))) (+.f64 (.f64 r #s(literal -1/6 binary64)) (.f64 r #s(literal 1/24 binary64))))))) (.f64 r #s(literal 1/3 binary64)))))))

Outputs
(*.f64 r b)

Calls

3 calls:

35.0ms	a
6.0ms	r
6.0ms	b

Results

Accuracy	Segments	Branch
32.1%	1	`a`
32.1%	1	`b`
32.1%	1	`r`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.046238676860642e-6	1734.9380484565418
6.0ms	-0.07248667189862248	-0.06019340808468073

Results

18.0ms	100×	1	valid
7.0ms	76×	0	valid

Compiler

Compiled 392 to 266 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 5.0ms (30.5% of total)

ival-div: 3.0ms (18.3% of total)

ival-sin: 3.0ms (18.3% of total)

ival-add: 2.0ms (12.2% of total)

ival-mult: 2.0ms (12.2% of total)

backward-pass: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.046238676860642e-6	1734.9380484565418
5.0ms	-0.07248667189862248	-0.06019340808468073

Results

15.0ms	89×	1	valid
7.0ms	87×	0	valid

Compiler

Compiled 326 to 233 computations (28.5% saved)

Precisions

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

ival-cos: 5.0ms (35.5% of total)

ival-sin: 3.0ms (21.3% of total)

ival-mult: 2.0ms (14.2% of total)

ival-add: 1.0ms (7.1% of total)

ival-div: 1.0ms (7.1% of total)

backward-pass: 1.0ms (7.1% of total)

const: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.046238676860642e-6	1734.9380484565418
5.0ms	-0.07248667189862248	-0.06019340808468073

Results

15.0ms	85×	1	valid
7.0ms	91×	0	valid

Compiler

Compiled 238 to 167 computations (29.8% saved)

Precisions

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

ival-cos: 4.0ms (28.8% of total)

ival-sin: 3.0ms (21.6% of total)

ival-div: 2.0ms (14.4% of total)

ival-mult: 2.0ms (14.4% of total)

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

backward-pass: 1.0ms (7.2% of total)

const: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.046238676860642e-6	1734.9380484565418
6.0ms	-0.07248667189862248	-0.06019340808468073

Results

16.0ms	80×	1	valid
8.0ms	96×	0	valid

Compiler

Compiled 216 to 156 computations (27.8% saved)

Precisions

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

ival-cos: 4.0ms (27.9% of total)

ival-mult: 3.0ms (20.9% of total)

ival-sin: 3.0ms (20.9% of total)

ival-add: 1.0ms (7% of total)

ival-div: 1.0ms (7% of total)

backward-pass: 1.0ms (7% of total)

const: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
16×	`+-commutative_binary64`
8×	`sub-neg_binary64`
8×	`if-if-or-not_binary32`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	136
1	98	136
2	109	136
3	115	136
4	119	136
5	120	136

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 5188146770730811/144115188075855872 binary64)) (.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r) (.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r) (.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 3412647653636267/9223372036854775808 binary64)) (.f64 (/.f64 b (cos.f64 (+.f64 b a))) r) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 8028023020878397/1180591620717411303424 binary64)) (.f64 b (/.f64 r (cos.f64 a))) (*.f64 (tan.f64 b) r)))
(*.f64 (tan.f64 b) r)
(*.f64 r b)

Outputs
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 5188146770730811/144115188075855872 binary64)) (.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r) (.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 5188146770730811/144115188075855872 binary64)) (.f64 r (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a)))) (.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a))) r) (.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 r (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal -1/6 binary64))))) (cos.f64 (+.f64 b a)))) (.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 3412647653636267/9223372036854775808 binary64)) (.f64 (/.f64 b (cos.f64 (+.f64 b a))) r) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 3412647653636267/9223372036854775808 binary64)) (.f64 r (/.f64 b (cos.f64 (+.f64 b a)))) (*.f64 r (tan.f64 b))))
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 (tan.f64 b) r) (if (<=.f64 b #s(literal 8028023020878397/1180591620717411303424 binary64)) (.f64 b (/.f64 r (cos.f64 a))) (*.f64 (tan.f64 b) r)))
(if (<=.f64 b #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 8028023020878397/1180591620717411303424 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 b)
(*.f64 b r)

soundness2.1s (17.1%)

Rules

6648×	`-lowering-.f32`
6648×	`-lowering-.f64`
6022×	`-lowering-.f32`
6022×	`-lowering-.f64`
4530×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	675	6371
1	2378	5800
0	8862	5800
0	8	9
1	12	9
2	15	9
3	16	9
0	16	9
0	8	19
1	39	19
2	253	19
3	2314	19
0	11205	19
0	33	115
1	195	104
2	1673	97
0	8819	97
0	167	937
1	557	880
2	1899	847
3	7323	847
0	8053	847
0	39	177
1	236	110
2	2145	110
0	8340	110

Stop Event

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

Compiler

Compiled 547 to 324 computations (40.8% saved)

preprocess71.0ms (0.6%)

Remove: (negabs r)
Compiler: Compiled 478 to 228 computations (52.3% saved)

analyze337.0ms (2.8%)

sample2.0s (16.2%)

preprocess76.0ms (0.6%)

explain154.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize67.0ms (0.5%)

series14.0ms (0.1%)

rewrite407.0ms (3.3%)

simplify280.0ms (2.3%)

eval30.0ms (0.2%)

prune68.0ms (0.6%)

simplify152.0ms (1.2%)

localize416.0ms (3.4%)

series81.0ms (0.7%)

rewrite375.0ms (3.1%)

simplify649.0ms (5.3%)

eval232.0ms (1.9%)

prune245.0ms (2%)

simplify161.0ms (1.3%)

localize395.0ms (3.2%)

series65.0ms (0.5%)

rewrite407.0ms (3.3%)

simplify395.0ms (3.2%)

eval214.0ms (1.8%)

prune309.0ms (2.5%)

simplify201.0ms (1.6%)

localize246.0ms (2%)

series138.0ms (1.1%)

rewrite356.0ms (2.9%)

simplify316.0ms (2.6%)

eval190.0ms (1.6%)

prune331.0ms (2.7%)

regimes227.0ms (1.9%)

regimes187.0ms (1.5%)

regimes79.0ms (0.6%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes37.0ms (0.3%)

regimes48.0ms (0.4%)

bsearch34.0ms (0.3%)

bsearch32.0ms (0.3%)

bsearch31.0ms (0.3%)

bsearch33.0ms (0.3%)

simplify12.0ms (0.1%)

soundness2.1s (17.1%)

preprocess71.0ms (0.6%)

end0.0ms (0%)

Profiling