Metrics for rsin A (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze298.0ms (2%)

Memory

-0.6MiB live, 198.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample6.9s (47.2%)

Memory

46.5MiB live, 1 758.1MiB allocated

Samples

6.4s	5 788×	1	valid
200.0ms	2 468×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.3s

ival-sin: 5.5s (86.9% of total)

ival-cos: 354.0ms (5.6% of total)

ival-add: 220.0ms (3.5% of total)

adjust: 98.0ms (1.5% of total)

ival-div: 86.0ms (1.4% of total)

ival-mult: 58.0ms (0.9% of total)

ival-true: 7.0ms (0.1% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain207.0ms (1.4%)

Memory

-19.5MiB live, 180.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
64	138	(2.1471692934314914e+89 -2.3721097614938704e-269 -3.0274755590403306e+70)	-	`(cos.f64 (+.f64 a b))`
0	0	-	-	`(+.f64 a b)`
0	0	-	-	`(sin.f64 b)`
0	0	-	-	`a`
0	0	-	-	`(*.f64 r (sin.f64 b))`
0	0	-	-	`r`
0	0	-	-	`b`
0	0	-	-	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (+.f64 a b))`	sensitivity	202	0

Confusion

	Predicted +	Predicted -
+	64	0
-	138	54

Precision

0.31683168316831684

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	0
-	138	0	54

Precision?

0.31683168316831684

Recall?

1.0

Freqs

test

number	freq
0	54
1	202

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

125.0ms	392×	1	valid
17.0ms	120×	0	valid

Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-add: 36.0ms (42% of total)

ival-cos: 17.0ms (19.8% of total)

ival-sin: 12.0ms (14% of total)

ival-mult: 8.0ms (9.3% of total)

adjust: 7.0ms (8.2% of total)

ival-div: 4.0ms (4.7% of total)

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

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

preprocess112.0ms (0.8%)

Memory

-4.6MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	88
1	89	84
2	193	84
3	479	84
4	1411	84
5	2370	84
6	2996	84
7	3376	84
8	3569	84
9	3790	84
10	4094	84
11	4100	84
12	4100	84
13	4108	84
14	4128	84
15	4136	84
16	4136	84
0	8	9
0	13	9
1	17	9
2	20	9
3	21	9
0	21	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.1%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	13	25
1	17	25
2	20	25
3	21	25
0	21	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (0.4%)

Memory

9.7MiB live, 84.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 b)
accuracy	0.13671875	(*.f64 r (sin.f64 b))
accuracy	0.248378759768442	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy	13.863714605344299	(cos.f64 (+.f64 a b))

Samples

42.0ms	196×	1	valid
4.0ms	60×	0	valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

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

ival-cos: 18.0ms (51.5% of total)

ival-sin: 7.0ms (20% of total)

adjust: 3.0ms (8.6% of total)

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

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

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

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

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

series20.0ms (0.1%)

Memory

-20.3MiB live, 27.8MiB allocated

Counts

4 → 32

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	b	@	inf	((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
2.0ms	r	@	0	((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
2.0ms	r	@	inf	((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
2.0ms	b	@	0	((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
2.0ms	a	@	0	((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))

simplify285.0ms (1.9%)

Memory

30.8MiB live, 222.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	593
1	517	561
2	1610	519
3	5575	500
0	8699	472

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

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

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

rewrite150.0ms (1%)

Memory

-9.2MiB live, 184.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	44	19
2	234	19
3	2062	19
0	8507	19

Stop Event

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

Counts

4 → 138

Calls

Call 1

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

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

eval21.0ms (0.1%)

Memory: -3.4MiB live, 34.6MiB allocated
Compiler: Compiled 3 275 to 553 computations (83.1% saved)

prune55.0ms (0.4%)

Memory

3.4MiB live, 54.4MiB allocated

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	131	34	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	34	166

Accuracy

99.8%

Counts

166 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.7%	(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	80.0%	(/.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 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
	99.3%	(/.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 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))
	79.9%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	78.0%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal -1 binary64))))
	48.8%	(/.f64 (.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))
▶	48.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
	48.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))))
	60.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
	49.3%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
	60.7%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	62.8%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	51.7%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	47.4%	(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
	47.1%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
	47.7%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
▶	78.1%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	78.0%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	77.9%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
▶	78.0%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	78.0%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
	79.9%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
	78.0%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	78.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	78.1%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	78.1%	(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	78.0%	(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	38.4%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	60.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b))))
	62.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
▶	47.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))

Compiler

Compiled 1 292 to 920 computations (28.8% saved)

simplify150.0ms (1%)

Memory

1.4MiB live, 76.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
cost-diff	0	(neg.f64 (sin.f64 b))
cost-diff	0	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
cost-diff	1	(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
cost-diff	4	(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))
cost-diff	0	(+.f64 a b)
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
cost-diff	0	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
cost-diff	0	(cos.f64 a)
cost-diff	0	(/.f64 r (cos.f64 a))
cost-diff	0	(*.f64 (/.f64 r (cos.f64 a)) b)
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	3	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	39	280
0	70	270
1	116	269
2	196	269
3	377	269
4	917	269
5	2016	269
6	3896	269
7	5466	269
8	6899	266
9	7625	266
10	7941	266
0	8001	266

Stop Event

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

Calls

Call 1

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

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

localize346.0ms (2.4%)

Memory

13.7MiB live, 332.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.248378759768442	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
accuracy	0.3515625	(*.f64 #s(literal 1/6 binary64) b)
accuracy	3.0240632325481305	(fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)))
accuracy	33.50973739682707	#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))
accuracy	0.171875	(/.f64 r (cos.f64 (+.f64 a b)))
accuracy	0.22265625	(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))
accuracy	0.248378759768442	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
accuracy	13.863714605344299	(cos.f64 (+.f64 a b))
accuracy	0.0	(sin.f64 b)
accuracy	0.203125	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
accuracy	0.26009750976844204	(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
accuracy	13.863714605344299	(cos.f64 (+.f64 a b))
accuracy	0.0	(cos.f64 a)
accuracy	0.1015625	(/.f64 r (cos.f64 a))
accuracy	0.12109375	(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy	33.40270049432343	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy	0.11709874970117155	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy	0.13671875	(*.f64 r (sin.f64 b))
accuracy	0.21484375	(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy	0.248378759768442	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

Samples

281.0ms	196×	1	valid
17.0ms	60×	0	valid

Compiler

Compiled 243 to 38 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-mult: 98.0ms (40.5% of total)

ival-cos: 51.0ms (21.1% of total)

ival-div: 30.0ms (12.4% of total)

ival-sin: 21.0ms (8.7% of total)

adjust: 12.0ms (5% of total)

ival-add: 10.0ms (4.1% of total)

const: 8.0ms (3.3% of total)

ival-pow: 7.0ms (2.9% of total)

ival-neg: 5.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series96.0ms (0.7%)

Memory

12.1MiB live, 127.8MiB allocated

Counts

22 → 109

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	r	@	0	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b))
13.0ms	a	@	0	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b))
12.0ms	b	@	-inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b))
8.0ms	b	@	inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b))
6.0ms	a	@	inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (/ r (cos (+ a b))) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b))

simplify354.0ms (2.4%)

Memory

-34.7MiB live, 281.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	1811
1	1422	1702
2	4678	1680
0	8209	1562

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 106

Calls

Call 1

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

Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (neg.f64 (.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b))))) a)) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (fma.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) a)) a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
(* b r)
(*.f64 b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) r (.f64 (.f64 (.f64 b r) #s(literal 5/24 binary64)) (.f64 a a))) (.f64 a a) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) r (.f64 (fma.f64 (.f64 (neg.f64 a) a) (fma.f64 (.f64 b r) #s(literal 7/360 binary64) (.f64 (.f64 b r) #s(literal -5/48 binary64))) (.f64 #s(literal 5/24 binary64) (.f64 b r))) (.f64 a a))) (.f64 a a) (*.f64 b r))
r
(+ r (* 1/2 (* (pow a 2) r)))
(fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (.f64 r #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) r)) (.f64 a a) r)
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 a) a) (fma.f64 r #s(literal 7/360 binary64) (.f64 r #s(literal -5/48 binary64))) (.f64 #s(literal 5/24 binary64) r)) (.f64 a a) (.f64 #s(literal 1/2 binary64) r)) (.f64 a a) r)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(/ (cos b) (sin b))
(/.f64 (cos.f64 b) (sin.f64 b))
(+ (* -1 a) (/ (cos b) (sin b)))
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1 binary64)) a (/.f64 (cos.f64 b) (sin.f64 b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal -1 binary64)) a (/.f64 (cos.f64 b) (sin.f64 b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
b
(+ a b)
(+.f64 a b)
(* -1 (* a (sin b)))
(*.f64 (neg.f64 a) (sin.f64 b))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(.f64 (.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a)
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (.f64 a a) #s(literal 1/6 binary64))) (*.f64 (neg.f64 a) (sin.f64 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)))))))))
(.f64 (fma.f64 (sin.f64 b) (fma.f64 (.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))))) a)
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(fma.f64 (*.f64 (sin.f64 b) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (-.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64))) a)) a (/.f64 r (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* 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 (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (.f64 (-.f64 (.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))) (neg.f64 a) (-.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)))) a (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 r (cos.f64 b)))
(* -1/2 b)
(*.f64 #s(literal -1/2 binary64) b)
(+ (* -1/2 b) (* a (- (* 1/6 (pow b 2)) 1)))
(fma.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) a (.f64 #s(literal -1/2 binary64) b))
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* 1/4 (* a b))) 1)))
(fma.f64 (fma.f64 (.f64 a b) #s(literal 1/4 binary64) (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64))) a (*.f64 #s(literal -1/2 binary64) b))
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* a (+ (* -1/6 (* a (- (* 1/6 (pow b 2)) 1))) (* 1/4 b)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) a) (.f64 #s(literal 1/4 binary64) b)) a (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64))) a (*.f64 #s(literal -1/2 binary64) b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(cos a)
(cos.f64 a)
(/ (cos (+ a b)) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
a
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(* -1 (* (sin a) (sin b)))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(fma.f64 (fma.f64 (.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (cos (- b (* -1 a))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(fma.f64 (/.f64 b a) a a)
(/ r (cos (- b (* -1 a))))
(/.f64 r (cos.f64 (+.f64 a b)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 (fma.f64 (.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (.f64 (neg.f64 (sin.f64 a)) (/.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)))) (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (.f64 r (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64))) (.f64 b b) (.f64 #s(literal -1/6 binary64) r)) (*.f64 b r))
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) b)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(/ (cos a) b)
(/.f64 (cos.f64 a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 a) (.f64 #s(literal -1/120 binary64) (cos.f64 a))) (.f64 (cos.f64 a) #s(literal 1/18 binary64))) (.f64 b b) (.f64 #s(literal -1/3 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
(* -1 b)
(neg.f64 b)
(* b (- (* 1/6 (pow b 2)) 1))
(.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))
(.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)
(* -1 (* b (sin a)))
(*.f64 (neg.f64 b) (sin.f64 a))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 a)) b)
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (neg.f64 b) (sin.f64 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)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 a) (.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) b)
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
(+ (* b (- (* -1 (* b (+ (* -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)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (.f64 (-.f64 (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))) b)) b (/.f64 r (cos.f64 a)))
(+ (* b (- (* b (- (* -1 (* 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 (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (sin.f64 a) (/.f64 (.f64 (.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a)))
(* -1 (sin a))
(neg.f64 (sin.f64 a))
(+ (* -1 (sin a)) (* -1/2 (* b (cos a))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a)))
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))
(fma.f64 (fma.f64 (.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a)))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(sin b)
(sin.f64 b)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(* -1 (sin b))
(neg.f64 (sin.f64 b))
(* 1/6 (* (pow b 2) (sin a)))
(.f64 (.f64 (*.f64 (sin.f64 a) b) b) #s(literal 1/6 binary64))
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))
(.f64 (.f64 (fma.f64 (/.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) b) b)
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))))
(.f64 (-.f64 (fma.f64 (/.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 a))) (/.f64 (/.f64 (sin.f64 a) b) b)) (*.f64 b b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (cos (- a (* -1 b))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 a b) b b)
(/ r (cos (- a (* -1 b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 a) (/.f64 (sin.f64 a) b)) (neg.f64 b))) b) b)

rewrite190.0ms (1.3%)

Memory

-7.7MiB live, 260.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	196
0	70	207
1	239	171
2	1519	171
0	8570	171

Stop Event

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

Counts

22 → 724

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (sin.f64 b))
(.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (sin.f64 b) r))
(*.f64 (/.f64 (neg.f64 r) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal -1 binary64))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 r #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) r) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) r) (pow.f64 (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 r (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(.f64 (/.f64 r (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (pow.f64 r #s(literal -1 binary64))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) (pow.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 a) b)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 a) b))) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) #s(literal 2 binary64)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 a) b))) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 a) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) (.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) (pow.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 a) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) (.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) (pow.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 a) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 a)) (pow.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)))
(fma.f64 (.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64)) (sin.f64 a)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/6 binary64) b) b)))) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))
(fma.f64 (.f64 (sin.f64 a) (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)))
(fma.f64 (.f64 (sin.f64 a) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/6 binary64) b) b)))) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))
(fma.f64 (.f64 (sin.f64 a) (.f64 #s(literal 1/6 binary64) b)) b (fma.f64 #s(literal -1 binary64) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b))))
(fma.f64 (.f64 (sin.f64 a) #s(literal 1/6 binary64)) (.f64 b b) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b))))
(fma.f64 (.f64 (sin.f64 a) b) (.f64 #s(literal 1/6 binary64) b) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(fma.f64 (-.f64 (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sin.f64 a) #s(literal 1/6 binary64)) (.f64 b b) (.f64 #s(literal 1 binary64) (sin.f64 a)))) (.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))
(fma.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 a) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 a) #s(literal 1/6 binary64)) (.f64 b b)) (neg.f64 (sin.f64 a)))))) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)))
(fma.f64 (.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 a) b))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 a) b))))))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) b) b) (sin.f64 a) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(fma.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))
(fma.f64 (.f64 #s(literal 1/6 binary64) b) (.f64 b (sin.f64 a)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b))))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 b b) (sin.f64 a)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b))))
(fma.f64 (sin.f64 a) (.f64 (.f64 #s(literal 1/6 binary64) b) b) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b))))
(fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))
(fma.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) b) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(fma.f64 b (.f64 (.f64 #s(literal 1/6 binary64) b) (sin.f64 a)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b))))
(fma.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))) (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))))
(-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (.f64 (.f64 (sin.f64 a) #s(literal 1/6 binary64)) (.f64 b b))) (sin.f64 a))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 a) b)))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 a) b)))))
(+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (.f64 (.f64 (sin.f64 a) #s(literal 1/6 binary64)) (.f64 b b))) (neg.f64 (sin.f64 a)))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 a) b)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 a) b))))))
(+.f64 (.f64 (.f64 (sin.f64 a) #s(literal 1/6 binary64)) (.f64 b b)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))
(+.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 a) b)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(*.f64 #s(literal 1/6 binary64) b)
(*.f64 b #s(literal 1/6 binary64))

eval165.0ms (1.1%)

Memory: 23.2MiB live, 253.7MiB allocated
Compiler: Compiled 22 494 to 2 945 computations (86.9% saved)

prune154.0ms (1.1%)

Memory

-8.0MiB live, 199.3MiB allocated

Pruning

70 alts after pruning (67 fresh and 3 done)

	Pruned	Kept	Total
New	802	52	854
Fresh	14	15	29
Picked	2	3	5
Done	0	0	0
Total	818	70	888

Accuracy

100.0%

Counts

888 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	72.1%	(/.f64 (.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 0 binary64))))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.5%	(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
	48.2%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 a))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	48.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
	49.3%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
	51.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)) (sin.f64 a))))
	63.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.3%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
	79.9%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	48.8%	(/.f64 (.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))
	62.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
	47.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ ( (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
▶	51.7%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	47.4%	(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
	47.8%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
	78.0%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	78.0%	(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
	47.9%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
	47.1%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
	47.7%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	99.3%	(/.f64 r (fma.f64 (/.f64 (cos.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
	99.3%	(/.f64 r (fma.f64 (.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
	99.4%	(/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
▶	72.6%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
	37.3%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64))))
✓	78.1%	(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
	46.3%	(/.f64 r (/.f64 (cos.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (sin.f64 b)))
	78.0%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	99.4%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	77.9%	(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	48.2%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
	50.8%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
	62.8%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b))))
	47.6%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
	60.6%	(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	78.0%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
▶	37.2%	(*.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	62.7%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))))
	47.9%	(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) r) (pow.f64 (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
	98.9%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
	78.0%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	78.0%	(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
	78.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	78.1%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	78.0%	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
	77.9%	(.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b))))))
	78.0%	(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	78.0%	(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	38.4%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	62.8%	#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	47.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	47.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	47.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
	47.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
	60.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b))))
✓	47.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	31.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	31.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	31.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	47.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
	47.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
	23.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 r #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
	24.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
▶	32.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 835 to 2 064 computations (27.2% saved)

simplify278.0ms (1.9%)

Memory

-22.4MiB live, 101.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 19 (0.0ms)

Iter	Nodes	Cost
0	41	224
0	65	205
1	98	205
2	137	203
3	165	203
4	256	203
5	346	203
6	518	203
7	723	203
8	964	203
9	1390	203
10	1746	203
11	2287	203
12	3015	203
13	3509	203
14	3880	203
15	4122	203
16	4336	203
17	4596	203
18	4880	203
19	5143	200
20	5627	200
21	5979	200
22	6035	200
23	6219	200
24	6272	200
25	6542	200
26	7173	200
27	7345	200
28	7561	200
29	7907	200
0	8013	200

Stop Event

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

Calls

Call 1

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

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

localize237.0ms (1.6%)

Memory

36.8MiB live, 423.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.248378759768442	(*.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
accuracy	0.2747650390737681	(pow.f64 (sin.f64 b) #s(literal -2 binary64))
accuracy	13.091107847335207	(pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 binary64))
accuracy	13.863714605344299	(cos.f64 (+.f64 a b))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
accuracy	0.203125	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
accuracy	0.26009750976844204	(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b))
accuracy	13.863714605344299	(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
accuracy	0.0	(cos.f64 a)
accuracy	0.13671875	(*.f64 r (sin.f64 b))
accuracy	0.248378759768442	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
accuracy	30.89908689136503	#s(approx (cos (+ a b)) (cos.f64 a))
accuracy	0.0	(*.f64 b r)
accuracy	22.022297660919296	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy	33.40270049432343	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy	0.10147374970117155	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
accuracy	0.13671875	(*.f64 r (sin.f64 b))
accuracy	0.21484375	(*.f64 (sin.f64 a) (sin.f64 b))
accuracy	0.248378759768442	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))

Samples

170.0ms	199×	1	valid
27.0ms	57×	0	valid

Compiler

Compiled 205 to 34 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-cos: 48.0ms (31.6% of total)

ival-div: 23.0ms (15.2% of total)

ival-sin: 20.0ms (13.2% of total)

ival-mult: 19.0ms (12.5% of total)

adjust: 15.0ms (9.9% of total)

ival-pow: 11.0ms (7.3% of total)

ival-sqrt: 10.0ms (6.6% of total)

ival-add: 2.0ms (1.3% of total)

ival-sub: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series96.0ms (0.7%)

Memory

-4.6MiB live, 74.9MiB allocated

Counts

20 → 77

Calls

Call 1

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

Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b r)
(/ (* 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)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(+ (* 1/2 (* (pow a 2) (* 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
(+ a b)
(/ (cos b) (sin b))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (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))))))))
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 b)) (* (sin a) (sin b)))
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(/ (cos (+ a b)) (sin b))
(* (sin a) (sin b))
(cos a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (cos (- b (* -1 a))) (sin b))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(+ (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) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(/ 1 b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)
(/ 1 (pow b 2))
(/ (+ 1 (* 1/3 (pow b 2))) (pow b 2))
(/ (+ 1 (* (pow b 2) (+ 1/3 (* 1/15 (pow b 2))))) (pow b 2))
(/ (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 1/15 (* 2/189 (pow b 2))))))) (pow b 2))
(* 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 b)
(* b (+ 1 (/ a b)))
(/ 1 (sin b))
(/ 1 (pow (sin b) 2))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (cos (- a (* -1 b))) (sin b))

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	r	@	0	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ 1 (+ a b))) (/ r (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b))) (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (cos (/ 1 (/ 1 (+ a b)))) (* (pow (pow (pow (sin b) -2) 1/2) -1) (/ r (cos (+ a b)))) (pow (pow (sin b) -2) 1/2) (pow (pow (pow (sin b) -2) 1/2) -1) (pow (sin b) -2) (* (sin a) (sin b)) (cos a) (cos (+ a b)))
24.0ms	a	@	inf	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ 1 (+ a b))) (/ r (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b))) (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (cos (/ 1 (/ 1 (+ a b)))) (* (pow (pow (pow (sin b) -2) 1/2) -1) (/ r (cos (+ a b)))) (pow (pow (sin b) -2) 1/2) (pow (pow (pow (sin b) -2) 1/2) -1) (pow (sin b) -2) (* (sin a) (sin b)) (cos a) (cos (+ a b)))
4.0ms	r	@	-inf	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ 1 (+ a b))) (/ r (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b))) (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (cos (/ 1 (/ 1 (+ a b)))) (* (pow (pow (pow (sin b) -2) 1/2) -1) (/ r (cos (+ a b)))) (pow (pow (sin b) -2) 1/2) (pow (pow (pow (sin b) -2) 1/2) -1) (pow (sin b) -2) (* (sin a) (sin b)) (cos a) (cos (+ a b)))
4.0ms	b	@	-inf	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ 1 (+ a b))) (/ r (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b))) (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (cos (/ 1 (/ 1 (+ a b)))) (* (pow (pow (pow (sin b) -2) 1/2) -1) (/ r (cos (+ a b)))) (pow (pow (sin b) -2) 1/2) (pow (pow (pow (sin b) -2) 1/2) -1) (pow (sin b) -2) (* (sin a) (sin b)) (cos a) (cos (+ a b)))
4.0ms	b	@	inf	((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ 1 (+ a b))) (/ r (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b))) (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (cos (/ 1 (/ 1 (+ a b)))) (* (pow (pow (pow (sin b) -2) 1/2) -1) (/ r (cos (+ a b)))) (pow (pow (sin b) -2) 1/2) (pow (pow (pow (sin b) -2) 1/2) -1) (pow (sin b) -2) (* (sin a) (sin b)) (cos a) (cos (+ a b)))

simplify242.0ms (1.6%)

Memory

-36.5MiB live, 170.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	1186
1	1046	1118
2	3295	1057
0	8337	977

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 75

Calls

Call 1

Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b r)
(/ (* 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)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(+ (* 1/2 (* (pow a 2) (* 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
(+ a b)
(/ (cos b) (sin b))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (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))))))))
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 b)) (* (sin a) (sin b)))
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(/ (cos (+ a b)) (sin b))
(* (sin a) (sin b))
(cos a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (cos (- b (* -1 a))) (sin b))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(+ (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) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(/ 1 b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)
(/ 1 (pow b 2))
(/ (+ 1 (* 1/3 (pow b 2))) (pow b 2))
(/ (+ 1 (* (pow b 2) (+ 1/3 (* 1/15 (pow b 2))))) (pow b 2))
(/ (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 1/15 (* 2/189 (pow b 2))))))) (pow b 2))
(* 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 b)
(* b (+ 1 (/ a b)))
(/ 1 (sin b))
(/ 1 (pow (sin b) 2))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (cos (- a (* -1 b))) (sin b))

Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(* b r)
(*.f64 b r)
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 a) (.f64 r (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 (fma.f64 r (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (.f64 r (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) a))) a)) a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b))
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (neg.f64 (.f64 (.f64 b r) (fma.f64 #s(literal -5/24 binary64) (.f64 a a) #s(literal -1/2 binary64)))) (.f64 a a) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) r) b (.f64 (fma.f64 (.f64 (.f64 (.f64 b r) #s(literal -61/720 binary64)) a) (neg.f64 a) (.f64 #s(literal 5/24 binary64) (.f64 b r))) (.f64 a a))) (.f64 a a) (.f64 b r))
b
(+ a b)
(+.f64 a b)
(/ (cos b) (sin b))
(/.f64 (cos.f64 b) (sin.f64 b))
(+ (* -1 a) (/ (cos b) (sin b)))
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1 binary64)) a (/.f64 (cos.f64 b) (sin.f64 b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal -1 binary64)) a (/.f64 (cos.f64 b) (sin.f64 b)))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) a))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (.f64 a a) #s(literal -1/6 binary64))) (*.f64 (sin.f64 b) a))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (.f64 a a) #s(literal 1/120 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))) a)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(cos (+ a b))
(cos.f64 (+.f64 a b))
a
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(/ (cos (+ a b)) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(cos a)
(cos.f64 a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(fma.f64 (/.f64 b a) a a)
(/ (cos (- b (* -1 a))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 (fma.f64 (.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (sin.f64 a)) (neg.f64 (cos.f64 a)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(.f64 (fma.f64 (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 b b) r) b)
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (.f64 r (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 b b) (.f64 #s(literal -1/6 binary64) r)) (*.f64 b r))
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) b)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a))
(/ (cos a) b)
(/.f64 (cos.f64 a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (cos.f64 a) (.f64 (fma.f64 (cos.f64 a) #s(literal -1/72 binary64) (.f64 #s(literal -1/120 binary64) (cos.f64 a))) (*.f64 b b))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
(/ 1 (pow b 2))
(/.f64 (/.f64 #s(literal 1 binary64) b) b)
(/ (+ 1 (* 1/3 (pow b 2))) (pow b 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b) b)
(/ (+ 1 (* (pow b 2) (+ 1/3 (* 1/15 (pow b 2))))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 b b) #s(literal 1/3 binary64)) (.f64 b b) #s(literal 1 binary64)) b) b)
(/ (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 1/15 (* 2/189 (pow b 2))))))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 b b) #s(literal 1/15 binary64)) (.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b) b)
(* b (sin a))
(*.f64 (sin.f64 a) b)
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 (sin.f64 a) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (sin.f64 a) b))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 a))) b)
(sin b)
(sin.f64 b)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(/ 1 (pow (sin b) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 a b) b b)
(/ (cos (- a (* -1 b))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))

rewrite182.0ms (1.2%)

Memory

18.8MiB live, 139.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	168
0	65	124
1	217	124
2	1089	124
0	8544	124

Stop Event

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

Counts

20 → 927

Calls

Call 1

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

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

eval143.0ms (1%)

Memory: 14.5MiB live, 165.7MiB allocated
Compiler: Compiled 17 402 to 2 571 computations (85.2% saved)

prune132.0ms (0.9%)

Memory

-24.7MiB live, 173.4MiB allocated

Pruning

79 alts after pruning (73 fresh and 6 done)

	Pruned	Kept	Total
New	724	32	756
Fresh	21	41	62
Picked	1	4	5
Done	1	2	3
Total	747	79	826

Accuracy

100.0%

Counts

826 → 79

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.4%	(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	27.2%	(/.f64 (*.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(approx (cos (+ a b)) (cos.f64 a)))
	48.0%	(/.f64 (.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	25.6%	(/.f64 (*.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(approx (cos (+ a b)) (cos.f64 a)))
	48.0%	(/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	25.6%	(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (cos (+ a b)) (cos.f64 a)))
	72.1%	(/.f64 (.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 0 binary64))))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.5%	(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
▶	48.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
	49.3%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
	51.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)) (sin.f64 a))))
	63.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.3%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
	48.2%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	62.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
	47.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ ( (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
✓	51.7%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	33.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	36.2%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))))
	26.6%	(/.f64 (.f64 r (exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64))) #s(literal -1/2 binary64)))) #s(approx (cos (+ a b)) (cos.f64 a)))
	47.8%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
	47.2%	(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
	78.0%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	78.0%	(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
	47.1%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	47.9%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
	47.7%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	99.3%	(/.f64 r (fma.f64 (/.f64 (cos.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
	99.3%	(/.f64 r (fma.f64 (.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
	99.4%	(/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
	78.0%	(/.f64 r (/.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 a b))))
	29.8%	(/.f64 r (/.f64 (cos.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 b)))
✓	72.6%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
	17.9%	(/.f64 r (/.f64 (cos.f64 (exp.f64 (log.f64 (+.f64 a b)))) (sin.f64 b)))
	51.6%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
	78.0%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	99.4%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	77.9%	(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	48.2%	(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
	50.8%	(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
	62.8%	(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b))))
	47.6%	(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (/.f64 (cos.f64 a) b)))
	60.6%	(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	78.0%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	51.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
	77.8%	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r))))
	24.3%	(.f64 (pow.f64 (pow.f64 #s(approx (pow (sin b) -2) (/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 b b) #s(literal 1 binary64)) b) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	45.4%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
▶	62.7%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))))
	37.2%	(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	98.9%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
▶	78.2%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	51.7%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	78.0%	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
	51.7%	(.f64 (.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))))
	51.7%	(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
	77.9%	(.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b))))))
	78.0%	(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
	78.0%	(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	25.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	62.8%	#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
	47.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	47.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	47.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
	60.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b))))
✓	47.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	31.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	31.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	31.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	47.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
	23.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 r #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
▶	24.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
✓	32.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 995 to 2 263 computations (24.4% saved)

simplify158.0ms (1.1%)

Memory

2.9MiB live, 168.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
cost-diff	1	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)
cost-diff	0	(neg.f64 (sin.f64 b))
cost-diff	0	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))))
cost-diff	1	(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
cost-diff	4	(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
cost-diff	0	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
cost-diff	0	(fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)
cost-diff	0	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
cost-diff	0	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
cost-diff	0	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	392
0	88	387
1	134	384
2	216	381
3	429	376
4	1102	376
5	2450	376
6	4141	376
7	5883	376
8	7538	376
0	8236	376

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)) b))
(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
(.f64 #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) r) r)) b)
#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) r))
(fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r)
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) r)
(.f64 (.f64 a a) r)
(*.f64 a a)
a
r
#s(literal 1/2 binary64)
b
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
r
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))))
(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))
(sin.f64 b)
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
#s(literal -1 binary64)
(neg.f64 (sin.f64 b))
(sin.f64 b)
b
#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))
(/.f64 r (cos.f64 b))
r
(cos.f64 b)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 #s(approx (neg (sin b)) (fma.f64 (pow.f64 b #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/120 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 b))))) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a)))
(fma.f64 #s(approx (neg (sin b)) (fma.f64 (pow.f64 b #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/120 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 b))))) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos.f64 b)
(cos.f64 a)
a
(.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))
(*.f64 #s(approx (neg (sin b)) (fma.f64 (pow.f64 b #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/120 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 b))))) (sin.f64 a))
#s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b))
#s(approx (neg (sin b)) (fma.f64 (pow.f64 b #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/120 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 b)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)
(fma.f64 (pow.f64 b #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/120 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 b b) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 b b) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))
(*.f64 b b)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(sin.f64 a)

localize385.0ms (2.6%)

Memory

23.7MiB live, 420.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(*.f64 r (sin.f64 b))
accuracy	0.21484375	(.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))
accuracy	0.248378759768442	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
accuracy	33.56726266562538	#s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b))
accuracy	0.12109375	(/.f64 r (cos.f64 b))
accuracy	0.22265625	(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64))
accuracy	0.248378759768442	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))))
accuracy	27.88217958761902	#s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))
accuracy	0.0	(sin.f64 b)
accuracy	0.16796875	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
accuracy	0.2265625	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy	13.863714605344299	(cos.f64 (+.f64 a b))
accuracy	0.12109375	(.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
accuracy	5.180337616370457	(.f64 (.f64 a a) r)
accuracy	30.21653232500745	#s(approx (/ r (cos a)) (fma.f64 (.f64 (.f64 a a) r) #s(literal 1/2 binary64) r))
accuracy	33.40270049432343	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
accuracy	0.0390625	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.11910880115753779	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.13671875	(*.f64 r (sin.f64 b))
accuracy	0.248378759768442	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

322.0ms	196×	1	valid
21.0ms	60×	0	valid

Compiler

Compiled 288 to 48 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

ival-sin: 96.0ms (34.1% of total)

ival-cos: 49.0ms (17.4% of total)

ival-mult: 39.0ms (13.9% of total)

ival-div: 35.0ms (12.4% of total)

adjust: 26.0ms (9.2% of total)

ival-add: 13.0ms (4.6% of total)

const: 12.0ms (4.3% of total)

ival-pow: 7.0ms (2.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series80.0ms (0.5%)

Memory

5.8MiB live, 79.9MiB allocated

Counts

23 → 108

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	r	@	inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (* (+ (* (+ (* (+ (* (* b b) 1/5040) -1/120) (* b b)) 1/6) (* b b)) -1) b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* (cos b) (cos a)) (* (* a a) r) (/ r (cos (+ a b))) (/ r (cos b)) (neg (sin b)) (* (neg (sin b)) (sin a)))
6.0ms	a	@	-inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (* (+ (* (+ (* (+ (* (* b b) 1/5040) -1/120) (* b b)) 1/6) (* b b)) -1) b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* (cos b) (cos a)) (* (* a a) r) (/ r (cos (+ a b))) (/ r (cos b)) (neg (sin b)) (* (neg (sin b)) (sin a)))
6.0ms	r	@	-inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (* (+ (* (+ (* (+ (* (* b b) 1/5040) -1/120) (* b b)) 1/6) (* b b)) -1) b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* (cos b) (cos a)) (* (* a a) r) (/ r (cos (+ a b))) (/ r (cos b)) (neg (sin b)) (* (neg (sin b)) (sin a)))
5.0ms	r	@	0	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (* (+ (* (+ (* (+ (* (* b b) 1/5040) -1/120) (* b b)) 1/6) (* b b)) -1) b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* (cos b) (cos a)) (* (* a a) r) (/ r (cos (+ a b))) (/ r (cos b)) (neg (sin b)) (* (neg (sin b)) (sin a)))
4.0ms	b	@	inf	((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (pow (/ -1 (neg (sin b))) -1) (/ -1 (neg (sin b))) (* (pow (/ -1 (neg (sin b))) -1) (/ r (cos (+ a b)))) (neg (sin b)) (* (+ (* (+ (* (+ (* (* b b) 1/5040) -1/120) (* b b)) 1/6) (* b b)) -1) b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* (cos b) (cos a)) (* (* a a) r) (/ r (cos (+ a b))) (/ r (cos b)) (neg (sin b)) (* (neg (sin b)) (sin a)))

simplify185.0ms (1.3%)

Memory

10.0MiB live, 209.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	504	2064
1	1619	1925
2	5600	1824
0	8136	1706

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

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

Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(* r (+ 1 (* 1/2 (pow a 2))))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)
(* (pow a 2) r)
(.f64 (.f64 a a) r)
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(* -1 (* r (- (* -1/2 (pow a 2)) 1)))
(.f64 (neg.f64 r) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal -1 binary64)))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (.f64 (.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64)) (sin.f64 b))) a (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)) a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
(* b r)
(*.f64 b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (neg.f64 (.f64 (.f64 b r) (fma.f64 #s(literal -5/24 binary64) (.f64 a a) #s(literal -1/2 binary64)))) (.f64 a a) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) r (.f64 (fma.f64 (.f64 (.f64 (.f64 b r) #s(literal -61/720 binary64)) a) (neg.f64 a) (.f64 #s(literal 5/24 binary64) (.f64 b r))) (.f64 a a))) (.f64 a a) (.f64 b r))
r
(+ r (* 1/2 (* (pow a 2) r)))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (neg.f64 (.f64 r (fma.f64 #s(literal -5/24 binary64) (.f64 a a) #s(literal -1/2 binary64)))) (*.f64 a a) r)
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 r #s(literal -61/720 binary64)) a) (neg.f64 a) (.f64 #s(literal 5/24 binary64) r)) (.f64 a a) (.f64 #s(literal 1/2 binary64) r)) (.f64 a a) r)
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(fma.f64 (.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)))))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(fma.f64 (*.f64 (sin.f64 b) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64))) a)) a (/.f64 r (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* 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 (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (cos.f64 b))) a (.f64 r (-.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) a)) a (/.f64 r (cos.f64 b)))
(* -1 (* a (sin b)))
(*.f64 (neg.f64 a) (sin.f64 b))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(.f64 (.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (.f64 a a) #s(literal 1/6 binary64))) (*.f64 (neg.f64 a) (sin.f64 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)))))))))
(.f64 (fma.f64 (sin.f64 b) (fma.f64 a (.f64 #s(literal 1/6 binary64) a) #s(literal -1 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))))) a)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(* 1/2 (* (pow a 2) r))
(.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a)
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(* (cos a) (cos b))
(*.f64 (cos.f64 b) (cos.f64 a))
(* -1 (* (sin a) (sin b)))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(/ r (cos (- b (* -1 a))))
(/.f64 r (cos.f64 (+.f64 a b)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 (fma.f64 (.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (.f64 (.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (.f64 r (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64))) (.f64 b b) (.f64 #s(literal -1/6 binary64) r)) (*.f64 b r))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 b b) #s(literal 1/120 binary64)) (.f64 b b) #s(literal -1/6 binary64)) b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (.f64 b b) (/.f64 b (cos.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* 1/6 (pow b 2))) b)
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 b b) #s(literal 7/360 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
(* -1 b)
(neg.f64 b)
(* b (- (* 1/6 (pow b 2)) 1))
(.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))
(.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(.f64 (fma.f64 b (.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (.f64 (cos.f64 a) (fma.f64 (.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 b (.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (cos.f64 a) (fma.f64 (.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64)))))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
(+ (* b (- (* -1 (* b (+ (* -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)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) b (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a)))
(+ (* b (- (* b (- (* -1 (* 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 (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (.f64 (.f64 r (-.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (cos.f64 a)))) b (.f64 r (-.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a)))
(+ r (* 1/2 (* (pow b 2) r)))
(fma.f64 (.f64 (.f64 b b) r) #s(literal 1/2 binary64) r)
(+ r (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (neg.f64 (.f64 r (fma.f64 #s(literal -5/24 binary64) (.f64 b b) #s(literal -1/2 binary64)))) (*.f64 b b) r)
(+ r (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 r #s(literal -61/720 binary64)) b) (neg.f64 b) (.f64 #s(literal 5/24 binary64) r)) (.f64 b b) (.f64 #s(literal 1/2 binary64) r)) (.f64 b b) r)
(* -1 (* b (sin a)))
(*.f64 (neg.f64 b) (sin.f64 a))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(.f64 (.f64 (sin.f64 a) b) (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (neg.f64 b) (sin.f64 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)))))))))
(.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) b)
(sin b)
(sin.f64 b)
(/ 1 (sin b))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(* -1 (sin b))
(neg.f64 (sin.f64 b))
(* 1/5040 (pow b 7))
(*.f64 (pow.f64 b #s(literal 7 binary64)) #s(literal 1/5040 binary64))
(* (pow b 7) (- 1/5040 (* 1/120 (/ 1 (pow b 2)))))
(.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 b b))) (pow.f64 b #s(literal 7 binary64)))
(* (pow b 7) (- (+ 1/5040 (/ 1/6 (pow b 4))) (* 1/120 (/ 1 (pow b 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 b b)))) (pow.f64 b #s(literal 7 binary64)))
(* (pow b 7) (- (+ 1/5040 (/ 1/6 (pow b 4))) (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 b #s(literal 7 binary64)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(* -1 (* (pow b 7) (- (* 1/120 (/ 1 (pow b 2))) 1/5040)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 b b)) #s(literal 1/5040 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* -1 (* (pow b 7) (- (* 1/120 (/ 1 (pow b 2))) (+ 1/5040 (/ 1/6 (pow b 4))))))
(.f64 (neg.f64 (pow.f64 b #s(literal 7 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 b b)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 4 binary64)))))
(* -1 (* (pow b 7) (- (+ (* 1/120 (/ 1 (pow b 2))) (/ 1 (pow b 6))) (+ 1/5040 (/ 1/6 (pow b 4))))))
(.f64 (neg.f64 (pow.f64 b #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 b b)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 b #s(literal 4 binary64))))))
(/ r (cos (- a (* -1 b))))
(/.f64 r (cos.f64 (+.f64 a b)))

rewrite176.0ms (1.2%)

Memory

-7.7MiB live, 268.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	273
0	88	282
1	285	248
2	1729	248
0	8321	248

Stop Event

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

Counts

23 → 581

Calls

Call 1

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

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

eval124.0ms (0.8%)

Memory: -17.4MiB live, 141.1MiB allocated
Compiler: Compiled 19 868 to 2 373 computations (88.1% saved)

prune134.0ms (0.9%)

Memory

7.0MiB live, 175.3MiB allocated

Pruning

85 alts after pruning (77 fresh and 8 done)

	Pruned	Kept	Total
New	627	20	647
Fresh	11	57	68
Picked	3	2	5
Done	0	6	6
Total	641	85	726

Accuracy

100.0%

Counts

726 → 85

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.4%	(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	27.2%	(/.f64 (*.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(approx (cos (+ a b)) (cos.f64 a)))
	48.0%	(/.f64 (.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	25.6%	(/.f64 (*.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(approx (cos (+ a b)) (cos.f64 a)))
	48.0%	(/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	25.6%	(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (cos (+ a b)) (cos.f64 a)))
	72.1%	(/.f64 (.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 0 binary64))))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.5%	(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
✓	48.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
	49.3%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
	63.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	99.2%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 9 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (cos.f64 a)) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
	48.2%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	62.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
	47.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ ( (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
✓	51.7%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	33.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	36.2%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))))
	26.6%	(/.f64 (.f64 r (exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64))) #s(literal -1/2 binary64)))) #s(approx (cos (+ a b)) (cos.f64 a)))
	47.8%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
	47.2%	(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
	78.0%	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
	78.0%	(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
	62.7%	(/.f64 (neg.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
	77.9%	(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))))
	47.1%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	46.8%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
	47.9%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
	47.7%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	99.3%	(/.f64 r (fma.f64 (/.f64 (cos.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
	99.3%	(/.f64 r (fma.f64 (.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
	99.4%	(/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
	29.8%	(/.f64 r (/.f64 (cos.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 b)))
✓	72.6%	(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
	17.9%	(/.f64 r (/.f64 (cos.f64 (exp.f64 (log.f64 (+.f64 a b)))) (sin.f64 b)))
	51.6%	(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
	78.0%	(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	99.4%	(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
	48.2%	(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
	50.8%	(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
	62.8%	(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b))))
	47.6%	(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (/.f64 (cos.f64 a) b)))
	60.6%	(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
	78.0%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
	51.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
	77.8%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r)))
	34.9%	(*.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))))
	24.3%	(.f64 (pow.f64 (pow.f64 #s(approx (pow (sin b) -2) (/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 b b) #s(literal 1 binary64)) b) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	45.4%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	62.7%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) r))))
	37.2%	(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
	64.6%	(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))) r)
	98.9%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
	51.7%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
	77.9%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) r)
	78.0%	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
	99.4%	(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) r)
	78.0%	(.f64 (.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) r)
	51.7%	(.f64 (.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))))
	51.7%	(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
	62.8%	(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))))
	62.8%	(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r)
	47.7%	(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
	78.0%	(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
	25.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
	47.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	47.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
	47.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
	60.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b))))
✓	47.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	31.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	31.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	31.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
	23.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (neg.f64 (.f64 r (fma.f64 #s(literal -5/24 binary64) (.f64 a a) #s(literal -1/2 binary64)))) (.f64 a a) r)) b))
	19.3%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)))) b))
	24.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)) b))
	10.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
✓	32.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 4 760 to 1 900 computations (60.1% saved)

regimes193.0ms (1.3%)

Memory

2.7MiB live, 281.2MiB allocated

Counts

139 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) #s(approx (+ ( (* (* a a) r) 1/2) r) (.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (neg.f64 (.f64 r (fma.f64 #s(literal -5/24 binary64) (.f64 a a) #s(literal -1/2 binary64)))) (.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 r #s(literal 5/24 binary64)) (.f64 a a) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal -1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (/.f64 (cos.f64 a) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 b b) r) b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64)) (.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) r) #s(literal 2 binary64)) (.f64 (neg.f64 r) r)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) r) (neg.f64 r)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r)
(*.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b))))
(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b))))
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
(.f64 (.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(.f64 (.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) r)
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ ( (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (/.f64 (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) b)))
(/.f64 r (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b)))) r)
(/.f64 (neg.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) #s(approx (cos (+ a b)) (cos.f64 a)))
(.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) r))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ 1 (+ a b)))) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(.f64 (pow.f64 (pow.f64 #s(approx (pow (sin b) -2) (/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 b b) #s(literal 1 binary64)) b) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (.f64 r (fma.f64 #s(literal 1/120 binary64) (.f64 b b) #s(literal -1/6 binary64))) (.f64 b b) r) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(approx (cos (+ a b)) (cos.f64 a)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(/.f64 r (/.f64 (cos.f64 (exp.f64 (log.f64 (+.f64 a b)))) (sin.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) (exp.f64 (neg.f64 (.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal -1/2 binary64))))
(/.f64 r (/.f64 (cos.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))) r)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 r (/.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (sin.f64 b)) (cos.f64 (-.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 #s(approx (neg (sin b)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 b b) #s(literal 1/6 binary64)) (.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (.f64 r (exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64))) #s(literal -1/2 binary64)))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal -1 binary64))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (neg.f64 (sin.f64 a)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(/.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)))))
(/.f64 (.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sin.f64 b) r) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 r (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
(/.f64 r (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
(/.f64 r (fma.f64 (/.f64 (cos.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 a) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 a))))
(/.f64 (.f64 r (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (fma.f64 (.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
(/.f64 (.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal 0 binary64))))) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(.f64 (.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) r)
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(/.f64 (.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 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))))
(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 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 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))
(.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) r) (pow.f64 (fma.f64 (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 9 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (cos.f64 a)) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))))

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

Calls

4 calls:

58.0ms	r
56.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
37.0ms	a
36.0ms	b

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 12 to 17 computations (-41.7% saved)

regimes303.0ms (2.1%)

Memory

9.9MiB live, 204.5MiB allocated

Counts

109 → 1

Calls

Call 1

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

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

Calls

4 calls:

114.0ms	b
97.0ms	a
58.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
28.0ms	r

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes154.0ms (1%)

Memory

-32.2MiB live, 134.3MiB allocated

Counts

108 → 1

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
33.0ms	b
28.0ms	r
26.0ms	a

Results

Accuracy	Segments	Branch
78.2%	1	`a`
78.2%	1	`r`
78.2%	1	`b`
78.2%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes59.0ms (0.4%)

Memory

22.1MiB live, 59.8MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
10.0ms	b
10.0ms	a
10.0ms	r

Results

Accuracy	Segments	Branch
78.1%	1	`r`
78.1%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
78.1%	1	`a`
78.1%	1	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes74.0ms (0.5%)

Memory

3.5MiB live, 49.3MiB allocated

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

44.0ms	a
9.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
9.0ms	b
9.0ms	r

Results

Accuracy	Segments	Branch
62.8%	1	`r`
66.2%	3	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
78.5%	3	`a`
78.5%	3	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes44.0ms (0.3%)

Memory

-28.1MiB live, 10.3MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
78.5%	3	`a`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

8.0ms	a
8.0ms	b

Results

Accuracy	Segments	Branch
78.5%	3	`b`
77.0%	3	`a`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

-25.8MiB live, 13.0MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
78.4%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes30.0ms (0.2%)

Memory

13.0MiB live, 51.7MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.7%	1	`r`
47.7%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
47.7%	1	`a`
51.9%	3	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	b
4.0ms	r

Results

Accuracy	Segments	Branch
47.7%	1	`r`
47.7%	1	`b`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes15.0ms (0.1%)

Memory

-10.1MiB live, 34.0MiB allocated

Accuracy

Total -15.5b remaining (-35.8%)

Threshold costs -15.5b (-35.8%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	b
3.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms	r
3.0ms	a

Results

Accuracy	Segments	Branch
32.5%	1	`a`
32.5%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
32.5%	1	`b`
32.5%	1	`r`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch45.0ms (0.3%)

Memory

4.3MiB live, 80.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.4626153633197475e-15	7.657219395622231e-13
25.0ms	-2.4202128422223258e+27	-2.6779111404412124e+23

Samples

24.0ms	147×	1	valid
7.0ms	93×	0	valid

Compiler

Compiled 447 to 389 computations (13% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 9.0ms (38.4% of total)

ival-sin: 5.0ms (21.3% of total)

ival-add: 2.0ms (8.5% of total)

ival-div: 2.0ms (8.5% of total)

adjust: 2.0ms (8.5% of total)

ival-mult: 2.0ms (8.5% of total)

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

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

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.4626153633197475e-15	7.657219395622231e-13
1.0ms	-2.4202128422223258e+27	-2.6779111404412124e+23

Compiler

Compiled 447 to 389 computations (13% saved)

bsearch44.0ms (0.3%)

Memory

-9.9MiB live, 71.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	4.726505495624235e-5	1.432798894791105e+21
15.0ms	-996077.5311295929	-283943.8989567046

Samples

17.0ms	104×	1	valid
14.0ms	152×	0	valid

Compiler

Compiled 470 to 403 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-cos: 9.0ms (40.9% of total)

ival-sin: 6.0ms (27.2% of total)

ival-add: 2.0ms (9.1% of total)

ival-div: 2.0ms (9.1% of total)

adjust: 2.0ms (9.1% of total)

ival-mult: 2.0ms (9.1% of total)

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

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

bsearch2.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.726505495624235e-5	1.432798894791105e+21
1.0ms	-996077.5311295929	-283943.8989567046

Compiler

Compiled 492 to 414 computations (15.9% saved)

bsearch26.0ms (0.2%)

Memory

-2.9MiB live, 35.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.1143243917375181e+64	1.51679969252227e+64
15.0ms	-8.337414164272876e+21	-5.824510003816253e+21

Samples

18.0ms	104×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 222 to 196 computations (11.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sin: 5.0ms (32.6% of total)

ival-cos: 5.0ms (32.6% of total)

adjust: 2.0ms (13% of total)

ival-add: 1.0ms (6.5% of total)

ival-div: 1.0ms (6.5% of total)

ival-mult: 1.0ms (6.5% of total)

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

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

simplify92.0ms (0.6%)

Memory

-6.7MiB live, 70.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	293
1	105	293
2	126	293
3	139	293
4	149	293
5	156	293
6	177	293
7	291	293
8	3636	293
9	7289	293

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 a #s(literal -269999999999999987417088 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 3713820117856141/4951760157141521099596496896 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)))
(if (<=.f64 a #s(literal -269999999999999987417088 binary64)) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 3713820117856141/4951760157141521099596496896 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (<=.f64 b #s(literal -290000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4796153459164483/36893488147419103232 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 b r)) (cos.f64 (+.f64 a b))) (.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r)))
(if (<=.f64 b #s(literal -290000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4796153459164483/36893488147419103232 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 b r)) (cos.f64 (+.f64 a b))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -5900000000000000000000 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 11500000000000000025959573009090126300911740612139143939514957824 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 b (cos.f64 a)) r)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Outputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 a #s(literal -269999999999999987417088 binary64)) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 3713820117856141/4951760157141521099596496896 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r)))
(if (or (<=.f64 a #s(literal -269999999999999987417088 binary64)) (not (<=.f64 a #s(literal 3713820117856141/4951760157141521099596496896 binary64)))) (.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(if (<=.f64 a #s(literal -269999999999999987417088 binary64)) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 3713820117856141/4951760157141521099596496896 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))))))
(if (or (<=.f64 a #s(literal -269999999999999987417088 binary64)) (not (<=.f64 a #s(literal 3713820117856141/4951760157141521099596496896 binary64)))) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a)))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(if (<=.f64 b #s(literal -290000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4796153459164483/36893488147419103232 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 b r)) (cos.f64 (+.f64 a b))) (.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 b))) r)))
(if (<=.f64 b #s(literal -290000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 4796153459164483/36893488147419103232 binary64)) (/.f64 #s(approx ( r (sin b)) (.f64 b r)) (cos.f64 (+.f64 a b))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (or (<=.f64 b #s(literal -290000 binary64)) (not (<=.f64 b #s(literal 4796153459164483/36893488147419103232 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 #s(approx ( r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -5900000000000000000000 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 11500000000000000025959573009090126300911740612139143939514957824 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 b (cos.f64 a)) r)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))))))
(if (or (<=.f64 b #s(literal -5900000000000000000000 binary64)) (not (<=.f64 b #s(literal 11500000000000000025959573009090126300911740612139143939514957824 binary64)))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

soundness1.3s (9.2%)

Memory

7.8MiB live, 810.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	504	2064
1	1619	1925
2	5600	1824
0	8136	1706
0	39	196
0	70	207
1	239	171
2	1519	171
0	8570	171
0	41	168
0	65	124
1	217	124
2	1089	124
0	8544	124
0	8	19
0	13	19
1	44	19
2	234	19
3	2062	19
0	8507	19
0	458	1811
1	1422	1702
2	4678	1680
0	8209	1562
0	342	1186
1	1046	1118
2	3295	1057
0	8337	977
0	167	593
1	517	561
2	1610	519
3	5575	500
0	8699	472

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

Compiler

Compiled 578 to 287 computations (50.3% saved)

preprocess60.0ms (0.4%)

Memory: -15.7MiB live, 104.0MiB allocated
Remove: (negabs r)
Compiler: Compiled 636 to 196 computations (69.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze298.0ms (2%)

sample6.9s (47.2%)

explain207.0ms (1.4%)

preprocess112.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize57.0ms (0.4%)

series20.0ms (0.1%)

simplify285.0ms (1.9%)

rewrite150.0ms (1%)

eval21.0ms (0.1%)

prune55.0ms (0.4%)

simplify150.0ms (1%)

localize346.0ms (2.4%)

series96.0ms (0.7%)

simplify354.0ms (2.4%)

rewrite190.0ms (1.3%)

eval165.0ms (1.1%)

prune154.0ms (1.1%)

simplify278.0ms (1.9%)

localize237.0ms (1.6%)

series96.0ms (0.7%)

simplify242.0ms (1.6%)

rewrite182.0ms (1.2%)

eval143.0ms (1%)

prune132.0ms (0.9%)

simplify158.0ms (1.1%)

localize385.0ms (2.6%)

series80.0ms (0.5%)

simplify185.0ms (1.3%)

rewrite176.0ms (1.2%)

eval124.0ms (0.8%)

prune134.0ms (0.9%)

regimes193.0ms (1.3%)

regimes303.0ms (2.1%)

regimes154.0ms (1%)

regimes59.0ms (0.4%)

regimes74.0ms (0.5%)

regimes44.0ms (0.3%)

regimes18.0ms (0.1%)

regimes11.0ms (0.1%)

regimes30.0ms (0.2%)

regimes9.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch45.0ms (0.3%)

bsearch2.0ms (0%)

bsearch44.0ms (0.3%)

bsearch2.0ms (0%)

bsearch26.0ms (0.2%)

simplify92.0ms (0.6%)

soundness1.3s (9.2%)

preprocess60.0ms (0.4%)

end0.0ms (0%)

Profiling