Metrics for rsin A (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze321.0ms (3.7%)

Memory

-6.6MiB live, 463.8MiB allocated; 108ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample2.1s (23.7%)

Memory

47.4MiB live, 1 853.2MiB allocated; 1.2s collecting garbage

Samples

1.5s	5 963×	1	valid
154.0ms	2 293×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

adjust: 501.0ms (36% of total)

ival-cos: 313.0ms (22.5% of total)

ival-sin: 274.0ms (19.7% of total)

ival-add: 153.0ms (11% of total)

ival-mult: 72.0ms (5.2% of total)

ival-div: 69.0ms (5% of total)

ival-true: 7.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain198.0ms (2.3%)

Memory

-39.2MiB live, 215.5MiB allocated; 67ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
69	125	(4.710385971174294e-236 6.3992046623908385e-183 9.556059238890311e+45)	-	`(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	194	1

Confusion

	Predicted +	Predicted -
+	69	0
-	125	62

Precision

0.3556701030927835

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	0
-	125	1	61

Precision?

0.35384615384615387

Recall?

1.0

Freqs

test

number	freq
0	62
1	194

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

100.0ms	370×	1	valid
15.0ms	142×	0	valid

Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-sin: 48.0ms (52% of total)

ival-cos: 16.0ms (17.3% of total)

ival-add: 10.0ms (10.8% of total)

adjust: 10.0ms (10.8% of total)

ival-div: 4.0ms (4.3% of total)

ival-mult: 4.0ms (4.3% of total)

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

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

preprocess180.0ms (2.1%)

Memory

7.3MiB live, 192.0MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	90
1	101	88
2	250	88
3	571	88
4	1004	88
5	1989	88
6	4002	88
7	7383	88
0	8	9
0	13	9
1	24	9
2	42	9
3	64	9
4	76	9
5	78	9
6	92	9
7	125	9
8	230	9
9	570	9
10	1511	9
11	3327	9
12	6752	9
0	8024	9

Stop Event

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

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, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify110.0ms (1.3%)

Memory

-15.5MiB live, 137.8MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 (+.f64 a b))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 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	24	25
2	42	25
3	64	25
4	76	25
5	78	25
6	92	25
7	125	25
8	230	25
9	570	25
10	1511	25
11	3327	25
12	6752	25
0	8024	25

Stop Event

1×	iter limit
1×	node limit
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

localize48.0ms (0.5%)

Memory

27.9MiB live, 74.0MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 b)
accuracy	0.125	(*.f64 r (sin.f64 b))
accuracy	0.25619125976844204	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy	14.193424289093185	(cos.f64 (+.f64 a b))

Samples

36.0ms	185×	1	valid
5.0ms	71×	0	valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

adjust: 9.0ms (30.6% of total)

ival-cos: 8.0ms (27.2% of total)

ival-sin: 6.0ms (20.4% of total)

ival-add: 3.0ms (10.2% of total)

ival-div: 2.0ms (6.8% of total)

ival-mult: 2.0ms (6.8% of total)

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

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

series33.0ms (0.4%)

Memory

-29.4MiB live, 27.0MiB allocated; 9ms collecting garbage

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
12.0ms	b	@	0	((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))
10.0ms	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	a	@	0	((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (sin b) (cos (+ a b)))

simplify192.0ms (2.2%)

Memory

20.3MiB live, 213.3MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	593
1	569	562
2	2016	518
3	7405	515
0	9145	482

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

rewrite405.0ms (4.6%)

Memory

-22.8MiB live, 209.0MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	46	19
2	266	19
3	2853	19
0	8286	19

Stop Event

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

Counts

4 → 155

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

eval24.0ms (0.3%)

Memory: 19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 641 to 744 computations (84% saved)

prune20.0ms (0.2%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	159	23	182
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	23	183

Accuracy

99.8%

Counts

183 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	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 a)) (sin.f64 b))))
	77.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
	63.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (cos.f64 (.f64 b (/.f64 b (-.f64 a b))))) (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	42.4%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	42.0%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
▶	52.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
	60.0%	(/.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))))
	60.1%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
▶	53.8%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
	62.1%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	55.7%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	51.0%	(/.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)))
	51.6%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (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))))
	77.6%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	77.7%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
▶	77.7%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	51.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 (fma.f64 (/.f64 b (cos.f64 a)) (.f64 (sin.f64 a) r) r) (cos.f64 a)) b))
	62.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
▶	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))

Compiler

Compiled 1 002 to 638 computations (36.3% saved)

simplify119.0ms (1.4%)

Memory

-3.3MiB live, 142.4MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	248
0	60	248
1	112	248
2	200	248
3	363	248
4	723	248
5	1715	248
6	3751	248
7	7438	248
0	8251	248

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

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

localize219.0ms (2.5%)

Memory

10.9MiB live, 242.8MiB allocated; 27ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
accuracy	0.125	(*.f64 r (sin.f64 b))
accuracy	0.25619125976844204	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
accuracy	30.97221985520683	#s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
accuracy	0.09375	(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))
accuracy	0.125	(*.f64 r (sin.f64 b))
accuracy	0.25619125976844204	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
accuracy	29.805459794615153	#s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))
accuracy	0.0	(sin.f64 b)
accuracy	0.140625	(/.f64 r (cos.f64 (+.f64 a b)))
accuracy	0.20703125	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
accuracy	14.193424289093185	(cos.f64 (+.f64 a b))
accuracy	0.0	(cos.f64 a)
accuracy	0.10546875	(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy	0.11328125	(/.f64 r (cos.f64 a))
accuracy	30.889839023499146	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy	0.125	(*.f64 r (sin.f64 b))
accuracy	0.12888419311272992	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
accuracy	0.1796875	(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
accuracy	0.25619125976844204	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))

Samples

176.0ms	185×	1	valid
17.0ms	71×	0	valid

Compiler

Compiled 203 to 30 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-cos: 26.0ms (24% of total)

ival-mult: 23.0ms (21.3% of total)

adjust: 18.0ms (16.6% of total)

ival-sin: 17.0ms (15.7% of total)

ival-div: 12.0ms (11.1% of total)

ival-add: 8.0ms (7.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory

2.6MiB live, 92.5MiB allocated; 11ms collecting garbage

Counts

19 → 85

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (+ (* (neg (sin a)) b) (cos a)) (* (* (cos a) -1/2) b))
9.0ms	r	@	0	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (+ (* (neg (sin a)) b) (cos a)) (* (* (cos a) -1/2) b))
7.0ms	a	@	0	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (+ (* (neg (sin a)) b) (cos a)) (* (* (cos a) -1/2) b))
5.0ms	a	@	-inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (+ (* (neg (sin a)) b) (cos a)) (* (* (cos a) -1/2) b))
5.0ms	r	@	-inf	((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (+ (* (neg (sin a)) b) (cos a)) (* (* (cos a) -1/2) b))

simplify233.0ms (2.7%)

Memory

-17.0MiB live, 189.9MiB allocated; 43ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	1503
1	1398	1413
2	5621	1373
0	8068	1288

Stop Event

1×	iter limit
1×	node limit

Counts

85 → 82

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

Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (.f64 (cos.f64 b) (cos.f64 a))))
(* r (sin b))
(*.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)))
(/.f64 (fma.f64 (sin.f64 b) r (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (cos.f64 b))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (.f64 (neg.f64 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 (- (* 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 (-.f64 (fma.f64 (neg.f64 a) (fma.f64 (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (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)))) (.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r)) (.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)))) 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 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) r (.f64 (.f64 (neg.f64 a) a) (.f64 #s(literal -5/24 binary64) (.f64 b r)))) (.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 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (.f64 a a) r)
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 a) a) (fma.f64 r #s(literal 7/360 binary64) (.f64 r #s(literal -5/48 binary64))) (.f64 #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 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 b) a) r) (cos.f64 b)) 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 (neg.f64 a) (-.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))))) (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) 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 (fma.f64 (neg.f64 a) (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))) (.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)))
(+ (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))
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))))))
(.f64 (fma.f64 (.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (.f64 a a) #s(literal 1/6 binary64))) (.f64 a a) (neg.f64 (sin.f64 b))) a)
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(.f64 (fma.f64 (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)
(+ 1 (* -1 (* a b)))
(-.f64 #s(literal 1 binary64) (*.f64 a b))
(+ 1 (* a (+ (* -1 b) (* -1/2 a))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) a (neg.f64 b)) a #s(literal 1 binary64))
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))
(fma.f64 (fma.f64 (-.f64 (.f64 (.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a (neg.f64 b)) a #s(literal 1 binary64))
(* -1/2 b)
(*.f64 #s(literal -1/2 binary64) b)
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(.f64 b (fma.f64 #s(literal 1/4 binary64) (.f64 a a) #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(fma.f64 (.f64 b (fma.f64 #s(literal -1/48 binary64) (.f64 a a) #s(literal 1/4 binary64))) (.f64 a a) (.f64 #s(literal -1/2 binary64) b))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) (.f64 a a) #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b (fma.f64 #s(literal 1/1440 binary64) (.f64 a a) #s(literal -1/48 binary64)))))
(+ (* -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))
(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))
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(* -1/2 (* b (cos a)))
(.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ r (cos (- b (* -1 a))))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a)) r) (cos.f64 a)) b)
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (.f64 (+.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 (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)))) (neg.f64 b) (+.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 (*.f64 b b) #s(literal -1/6 binary64) #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)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 b b)) #s(literal 1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)
(+ (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))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 a) r) b) (cos.f64 a)) 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 (.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))))) (neg.f64 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 (-.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 (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)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a))
(* -1 (* b (sin a)))
(*.f64 (neg.f64 (sin.f64 a)) b)
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(.f64 (.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(.f64 (fma.f64 (.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 b b) (neg.f64 (sin.f64 a))) b)
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(.f64 (fma.f64 (sin.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) b) b #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)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(*.f64 (fma.f64 (sin.f64 a) #s(literal -1 binary64) (/.f64 (cos.f64 a) b)) b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ r (cos (- a (* -1 b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (-.f64 (/.f64 a (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(*.f64 (fma.f64 (sin.f64 a) #s(literal -1 binary64) (/.f64 (cos.f64 a) b)) b)

rewrite250.0ms (2.9%)

Memory

-33.8MiB live, 214.6MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	172
0	60	158
1	192	158
2	1311	158
0	9484	158

Stop Event

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

Counts

19 → 361

Calls

Call 1

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

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

eval57.0ms (0.6%)

Memory: 12.5MiB live, 101.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 11 660 to 1 658 computations (85.8% saved)

prune49.0ms (0.6%)

Memory

-10.4MiB live, 92.0MiB allocated; 8ms collecting garbage

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	382	34	416
Fresh	8	10	18
Picked	2	3	5
Done	0	0	0
Total	392	47	439

Accuracy

99.9%

Counts

439 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.7%	(/.f64 (.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (.f64 (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (+.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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (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))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
	68.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
	60.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
	63.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
	77.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.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 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))))))
	63.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (cos.f64 (.f64 b (/.f64 b (-.f64 a b))))) (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	42.4%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)))
▶	42.0%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
	60.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	62.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b)))
	52.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))
	38.3%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b #s(approx (cos a) #s(literal 1 binary64)))))
	55.7%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	37.2%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a (neg.f64 b)) a #s(literal 1 binary64)))))
▶	37.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	51.5%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
	51.7%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
	51.6%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (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))))
	77.6%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	78.8%	(.f64 (/.f64 (.f64 r (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (.f64 (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (+.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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))) (sin.f64 b))
	77.6%	(.f64 (/.f64 (.f64 r (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b)))) (sin.f64 b))
	77.7%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	53.8%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) r)
✓	77.7%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	63.6%	(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
▶	77.6%	(.f64 (.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	53.8%	(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
	58.7%	(.f64 #s(approx (/ r (cos (+ a b))) (/.f64 (+.f64 (/.f64 (.f64 (*.f64 (sin.f64 b) a) r) (cos.f64 b)) r) (cos.f64 b))) (sin.f64 b))
	62.1%	(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
	38.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
	38.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))) b))
✓	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	35.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	35.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	35.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
	26.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
	27.2%	#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))
	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
	30.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
▶	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 2 343 to 1 516 computations (35.3% saved)

simplify102.0ms (1.2%)

Memory

9.0MiB live, 144.0MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))
cost-diff	0	(/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))
cost-diff	0	(.f64 (.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
cost-diff	10	(.f64 (/.f64 r (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (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)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
cost-diff	4	(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
cost-diff	0	#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
cost-diff	0	(*.f64 b r)
cost-diff	0	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
cost-diff	0	(-.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	0	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	283
0	77	281
1	138	262
2	240	254
3	409	252
4	659	252
5	1813	252
6	6084	252
0	8530	252

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

localize291.0ms (3.3%)

Memory

-10.4MiB live, 276.1MiB allocated; 47ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2265625	(.f64 (/.f64 r (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
accuracy	0.31640625	(*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))
accuracy	14.193424289093185	(cos.f64 (+.f64 a b))
accuracy	14.389240588670804	(cos.f64 (-.f64 a b))
accuracy	0.0078125	(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)
accuracy	0.125	(*.f64 r (sin.f64 b))
accuracy	0.25619125976844204	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))
accuracy	42.294392035205206	(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
accuracy	0.125	(*.f64 r (sin.f64 b))
accuracy	0.25619125976844204	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
accuracy	29.805459794615153	#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))
accuracy	31.23753171942326	#s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))
accuracy	0.0	(*.f64 b r)
accuracy	21.839688226577998	#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy	30.889839023499146	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy	0.10724737195431469	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
accuracy	0.125	(*.f64 r (sin.f64 b))
accuracy	0.1796875	(*.f64 (sin.f64 a) (sin.f64 b))
accuracy	0.25619125976844204	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))

Samples

232.0ms	191×	1	valid
21.0ms	65×	0	valid

Compiler

Compiled 234 to 39 computations (83.3% saved)

Precisions

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

ival-mult: 58.0ms (26.4% of total)

adjust: 52.0ms (23.7% of total)

ival-cos: 39.0ms (17.8% of total)

ival-sin: 38.0ms (17.3% of total)

ival-div: 14.0ms (6.4% of total)

ival-add: 8.0ms (3.6% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.7%)

Memory

35.9MiB live, 125.4MiB allocated; 12ms collecting garbage

Counts

20 → 126

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	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)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (* (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (sin b)) (/ r (* (cos (+ a b)) (cos (- a b)))) (* (cos (+ a b)) (cos (- a b))) (* (sin a) (sin b)) (+ (* (neg (sin a)) b) (cos a)) (+ (+ (/ (PI) 2) b) a) (cos (- a b)) (cos (+ a b)))
11.0ms	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)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (* (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (sin b)) (/ r (* (cos (+ a b)) (cos (- a b)))) (* (cos (+ a b)) (cos (- a b))) (* (sin a) (sin b)) (+ (* (neg (sin a)) b) (cos a)) (+ (+ (/ (PI) 2) b) a) (cos (- a b)) (cos (+ a b)))
8.0ms	b	@	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)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (* (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (sin b)) (/ r (* (cos (+ a b)) (cos (- a b)))) (* (cos (+ a b)) (cos (- a b))) (* (sin a) (sin b)) (+ (* (neg (sin a)) b) (cos a)) (+ (+ (/ (PI) 2) b) a) (cos (- a b)) (cos (+ a b)))
6.0ms	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)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (* (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (sin b)) (/ r (* (cos (+ a b)) (cos (- a b)))) (* (cos (+ a b)) (cos (- a b))) (* (sin a) (sin b)) (+ (* (neg (sin a)) b) (cos a)) (+ (+ (/ (PI) 2) b) a) (cos (- a b)) (cos (+ a b)))
5.0ms	a	@	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)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (* (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (sin b)) (/ r (* (cos (+ a b)) (cos (- a b)))) (* (cos (+ a b)) (cos (- a b))) (* (sin a) (sin b)) (+ (* (neg (sin a)) b) (cos a)) (+ (+ (/ (PI) 2) b) a) (cos (- a b)) (cos (+ a b)))

simplify273.0ms (3.1%)

Memory

6.2MiB live, 249.5MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	629	3134
1	2330	2751
0	9008	2530

Stop Event

1×	iter limit
1×	node limit

Counts

126 → 124

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

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

rewrite177.0ms (2%)

Memory

-11.9MiB live, 230.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	219
0	77	187
1	265	174
2	1994	174
0	8134	174

Stop Event

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

Counts

20 → 486

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

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

eval81.0ms (0.9%)

Memory: -17.9MiB live, 169.5MiB allocated; 23ms collecting garbage
Compiler: Compiled 15 992 to 2 570 computations (83.9% saved)

prune70.0ms (0.8%)

Memory

15.0MiB live, 161.2MiB allocated; 10ms collecting garbage

Pruning

66 alts after pruning (60 fresh and 6 done)

	Pruned	Kept	Total
New	495	32	527
Fresh	11	28	39
Picked	2	3	5
Done	0	3	3
Total	508	66	574

Accuracy

99.9%

Counts

574 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.7%	(/.f64 (.f64 (.f64 (sin.f64 b) r) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (.f64 (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (+.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 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))))))
	77.6%	(/.f64 (.f64 r (.f64 (cos.f64 (-.f64 b a)) (sin.f64 b))) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
▶	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 a)) (sin.f64 b))))
	68.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
	60.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
	63.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
	77.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.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 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))))))
	63.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (cos.f64 (.f64 b (/.f64 b (-.f64 a b))))) (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	24.2%	(/.f64 (.f64 r (sin.f64 b)) (sin.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 a a (.f64 b (-.f64 b a))) (PI.f64))) (.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) #s(literal 2 binary64)))))
	42.4%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)))
▶	35.7%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) b b))))
	42.0%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))))
	40.6%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
	41.9%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
	60.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	62.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
	55.7%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
	52.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))
✓	37.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
▶	40.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))
	35.3%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	35.2%	(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	35.5%	(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	35.4%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (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 b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	35.2%	(/.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)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	51.5%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
	51.7%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
	35.6%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	51.6%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	77.7%	(.f64 (/.f64 (/.f64 r (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 a b))) (.f64 (cos.f64 (-.f64 b a)) (sin.f64 b)))
	77.6%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	77.7%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	53.8%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) r)
	37.5%	(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) r)
✓	77.7%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	63.6%	(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
	99.4%	(.f64 (.f64 (/.f64 r (fma.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a)) (.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a))))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	42.0%	(.f64 (.f64 (/.f64 r (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (cos.f64 (+.f64 (+.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	42.1%	(.f64 (.f64 (/.f64 r (/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 a (-.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 a (-.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	99.4%	(.f64 (.f64 (/.f64 r (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a))) (.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a))))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	41.8%	(.f64 (.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	42.6%	(.f64 (.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	41.5%	(.f64 (.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (sin.f64 b))
	42.4%	(.f64 (.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (sin.f64 b))
	51.0%	(.f64 (.f64 (/.f64 r (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
	63.7%	(.f64 (.f64 (/.f64 r #s(approx (* (cos (+ a b)) (cos (- a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	57.4%	(.f64 (.f64 (/.f64 r #s(approx (* (cos (+ a b)) (cos (- a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	77.0%	(.f64 (.f64 (*.f64 (/.f64 r (+.f64 (cos.f64 (-.f64 (+.f64 a b) (-.f64 a b))) (cos.f64 (-.f64 (+.f64 (+.f64 a b) a) b)))) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (sin.f64 b))
	53.8%	(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
▶	58.7%	(.f64 #s(approx (/ r (cos (+ a b))) (/.f64 (+.f64 (/.f64 (.f64 (*.f64 (sin.f64 b) a) r) (cos.f64 b)) r) (cos.f64 b))) (sin.f64 b))
	62.1%	(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
	55.7%	(.f64 #s(approx ( (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (/.f64 r (cos.f64 a))) (sin.f64 b))
	38.1%	#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
✓	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	35.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	35.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	35.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
	26.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
	27.2%	#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))
	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
▶	30.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
✓	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

Compiler

Compiled 3 341 to 2 236 computations (33.1% saved)

simplify100.0ms (1.1%)

Memory

2.2MiB live, 138.0MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 b) a) r) (cos.f64 b)) r) (cos.f64 b))
cost-diff	0	#s(approx (/ r (cos (+ a b))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 b) a) r) (cos.f64 b)) r) (cos.f64 b)))
cost-diff	0	(.f64 #s(approx (/ r (cos (+ a b))) (/.f64 (+.f64 (/.f64 (.f64 (*.f64 (sin.f64 b) a) r) (cos.f64 b)) r) (cos.f64 b))) (sin.f64 b))
cost-diff	1	(+.f64 (/.f64 (.f64 (.f64 (sin.f64 b) a) r) (cos.f64 b)) r)
cost-diff	0	(sin.f64 b)
cost-diff	0	(*.f64 r (sin.f64 b))
cost-diff	0	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) b b))))
cost-diff	3	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) b b)
cost-diff	0	#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))
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)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))
cost-diff	0	#s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r)))
cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
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: 0 (0.0ms)

Iter	Nodes	Cost
0	55	359
0	86	359
1	164	356
2	317	352
3	747	344
4	2174	344
5	6192	344
0	8129	340

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

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

localize287.0ms (3.3%)

Memory

-16.4MiB live, 373.3MiB allocated; 35ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11556625976844202	(/.f64 (.f64 (.f64 (sin.f64 b) a) r) (cos.f64 b))
accuracy	0.20703125	(.f64 #s(approx (/ r (cos (+ a b))) (/.f64 (+.f64 (/.f64 (.f64 (*.f64 (sin.f64 b) a) r) (cos.f64 b)) r) (cos.f64 b))) (sin.f64 b))
accuracy	2.264080902019347	(.f64 (.f64 (sin.f64 b) a) r)
accuracy	30.90451785599704	#s(approx (/ r (cos (+ a b))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 b) a) r) (cos.f64 b)) r) (cos.f64 b)))
accuracy	0.12890625	(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b)
accuracy	0.25619125976844204	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) b b))))
accuracy	7.610323090788139	(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) b b)
accuracy	42.294392035205206	(sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) b b)))
accuracy	0.125	(*.f64 r (sin.f64 b))
accuracy	0.25619125976844204	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))
accuracy	29.805459794615153	#s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))
accuracy	38.60122533364966	#s(approx (+ (* (neg (sin a)) b) (cos a)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	8.064542592200374	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))
accuracy	28.688530876758193	#s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r)))
accuracy	30.889839023499146	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
accuracy	0.09212875976844202	(*.f64 (cos.f64 b) (cos.f64 a))
accuracy	0.12139381092597981	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy	0.125	(*.f64 r (sin.f64 b))
accuracy	0.25619125976844204	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))

Samples

223.0ms	190×	1	valid
27.0ms	66×	0	valid

Compiler

Compiled 256 to 48 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

adjust: 40.0ms (22.5% of total)

ival-mult: 34.0ms (19.1% of total)

ival-sin: 32.0ms (18% of total)

ival-cos: 27.0ms (15.2% of total)

ival-div: 22.0ms (12.4% of total)

ival-add: 20.0ms (11.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series59.0ms (0.7%)

Memory

-9.5MiB live, 88.0MiB allocated; 10ms collecting garbage

Counts

23 → 135

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	a	@	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) (* (+ (* (* 1/2 a) a) 1) (* b r)) (+ (* (* 1/2 a) a) 1) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (/ (+ (* (PI) 1/2) a) b) b) b) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (+ (/ (* (* (sin b) a) r) (cos b)) r) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (/ (+ (/ (* (* (sin b) a) r) (cos b)) r) (cos b)) (* (cos b) (cos a)) (* 1/2 a) (+ (* (neg (sin a)) b) (cos a)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (+ (* (PI) 1/2) a) b) (* (* (sin b) a) r) (/ (* (* (sin b) a) r) (cos b)))
7.0ms	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) (* (+ (* (* 1/2 a) a) 1) (* b r)) (+ (* (* 1/2 a) a) 1) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (/ (+ (* (PI) 1/2) a) b) b) b) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (+ (/ (* (* (sin b) a) r) (cos b)) r) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (/ (+ (/ (* (* (sin b) a) r) (cos b)) r) (cos b)) (* (cos b) (cos a)) (* 1/2 a) (+ (* (neg (sin a)) b) (cos a)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (+ (* (PI) 1/2) a) b) (* (* (sin b) a) r) (/ (* (* (sin b) a) r) (cos b)))
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) (* (+ (* (* 1/2 a) a) 1) (* b r)) (+ (* (* 1/2 a) a) 1) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (/ (+ (* (PI) 1/2) a) b) b) b) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (+ (/ (* (* (sin b) a) r) (cos b)) r) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (/ (+ (/ (* (* (sin b) a) r) (cos b)) r) (cos b)) (* (cos b) (cos a)) (* 1/2 a) (+ (* (neg (sin a)) b) (cos a)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (+ (* (PI) 1/2) a) b) (* (* (sin b) a) r) (/ (* (* (sin b) a) r) (cos b)))
6.0ms	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) (* (+ (* (* 1/2 a) a) 1) (* b r)) (+ (* (* 1/2 a) a) 1) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (/ (+ (* (PI) 1/2) a) b) b) b) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (+ (/ (* (* (sin b) a) r) (cos b)) r) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (/ (+ (/ (* (* (sin b) a) r) (cos b)) r) (cos b)) (* (cos b) (cos a)) (* 1/2 a) (+ (* (neg (sin a)) b) (cos a)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (+ (* (PI) 1/2) a) b) (* (* (sin b) a) r) (/ (* (* (sin b) a) r) (cos b)))
6.0ms	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) (* (+ (* (* 1/2 a) a) 1) (* b r)) (+ (* (* 1/2 a) a) 1) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (/ (+ (* (PI) 1/2) a) b) b) b) (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (+ (/ (* (* (sin b) a) r) (cos b)) r) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (/ (+ (/ (* (* (sin b) a) r) (cos b)) r) (cos b)) (* (cos b) (cos a)) (* 1/2 a) (+ (* (neg (sin a)) b) (cos a)) (sin (+ (+ (/ (PI) 2) b) a)) (/ (+ (* (PI) 1/2) a) b) (* (* (sin b) a) r) (/ (* (* (sin b) a) r) (cos b)))

simplify182.0ms (2.1%)

Memory

47.7MiB live, 136.9MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	568	2751
1	2042	2623
2	7890	2623
0	8016	2387

Stop Event

1×	iter limit
1×	node limit

Counts

135 → 132

Calls

Call 1

Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))
(* r (+ 1 (/ (* a (sin b)) (cos b))))
(/ r (cos (+ a b)))
(/ (* r (+ 1 (/ (* a (sin b)) (cos b)))) (cos b))
(* a (* r (sin b)))
(/ (* a (* r (sin b))) (cos b))
(* -1 (* r (- (* -1 (/ (* a (sin b)) (cos b))) 1)))
(* -1 (/ (* r (- (* -1 (/ (* a (sin b)) (cos b))) 1)) (cos b)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(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)))))
1
(+ 1 (* 1/2 (pow a 2)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(+ b (* 1/2 (PI)))
(+ a (+ b (* 1/2 (PI))))
(/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))
(+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))
r
(+ r (/ (* a (* r (sin b))) (cos 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)))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* 1/2 a)
(+ 1 (* -1 (* a b)))
(+ 1 (* a (+ (* -1 b) (* -1/2 a))))
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))
(sin (+ b (* 1/2 (PI))))
(+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))
(+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))
(* 1/2 (/ (PI) b))
(+ (* 1/2 (/ (PI) b)) (/ a b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* 1/2 (* (pow a 2) (* b r)))
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))
(cos (+ a b))
a
(* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ b a))))
(* a (+ (/ r a) (/ (* r (sin b)) (cos b))))
(/ (* a (* r (sin b))) (pow (cos b) 2))
(* a (+ (/ r (* a (cos b))) (/ (* r (sin b)) (pow (cos b) 2))))
(* (cos a) (cos b))
(+ (cos a) (* -1 (* b (sin a))))
(sin (+ a (+ b (* 1/2 (PI)))))
(/ a b)
(* a (+ (* 1/2 (/ (PI) (* a b))) (/ 1 b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))
(/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))
(* -1 (* a (+ (* -1 (/ r a)) (* -1 (/ (* r (sin b)) (cos b))))))
(/ r (cos (- b (* -1 a))))
(* -1 (* a (+ (* -1 (/ r (* a (cos b)))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))))
(sin (- (+ b (* 1/2 (PI))) (* -1 a)))
(* -1 (* a (- (* -1/2 (/ (PI) (* a b))) (/ 1 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
(* 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) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(+ a (* 1/2 (PI)))
(/ (* b r) (sin (+ a (* 1/2 (PI)))))
(* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))
(+ r (* a (* b r)))
(+ r (* b (+ (* a r) (* (pow b 2) (- (* -1/6 (* a r)) (* -1/2 (* a r)))))))
(+ r (* b (+ (* a r) (* (pow b 2) (- (+ (* -1/6 (* a r)) (* (pow b 2) (- (* 1/120 (* a r)) (+ (* -1/2 (- (* -1/6 (* a r)) (* -1/2 (* a r)))) (* 1/24 (* a r)))))) (* -1/2 (* a r)))))))
(/ r (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 (* b (+ (* 1/2 (* b r)) (* a r))))
(+ r (* b (+ (* a r) (* b (- (* b (- (* -1/6 (* a r)) (* -1 (* a r)))) (* -1/2 r))))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(sin (+ a (* 1/2 (PI))))
(+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))
(/ (+ a (* 1/2 (PI))) b)
(* a (* b r))
(* b (+ (* -1/6 (* a (* (pow b 2) r))) (* a r)))
(* b (+ (* a r) (* (pow b 2) (+ (* -1/6 (* a r)) (* 1/120 (* a (* (pow b 2) r)))))))
(* b (+ (* a r) (* (pow b 2) (+ (* -1/6 (* a r)) (* (pow b 2) (+ (* -1/5040 (* a (* (pow b 2) r))) (* 1/120 (* a r))))))))
(* b (+ (* a r) (* (pow b 2) (- (* -1/6 (* a r)) (* -1/2 (* a r))))))
(* b (+ (* a r) (* (pow b 2) (- (+ (* -1/6 (* a r)) (* (pow b 2) (- (* 1/120 (* a r)) (+ (* -1/2 (- (* -1/6 (* a r)) (* -1/2 (* a r)))) (* 1/24 (* a r)))))) (* -1/2 (* a r))))))
(* b (+ (* a r) (* (pow b 2) (- (+ (* -1/6 (* a r)) (* (pow b 2) (- (+ (* 1/120 (* a r)) (* (pow b 2) (- (* -1/5040 (* a r)) (+ (* -1/2 (- (* 1/120 (* a r)) (+ (* -1/2 (- (* -1/6 (* a r)) (* -1/2 (* a r)))) (* 1/24 (* a r))))) (+ (* -1/720 (* a r)) (* 1/24 (- (* -1/6 (* a r)) (* -1/2 (* a r))))))))) (+ (* -1/2 (- (* -1/6 (* a r)) (* -1/2 (* a r)))) (* 1/24 (* a r)))))) (* -1/2 (* a r))))))
(sin b)
(* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))
(/ (+ r (/ (* a (* r (sin b))) (cos b))) (cos b))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))
(/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))
(/ r (cos (- a (* -1 b))))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(sin (- (+ a (* 1/2 (PI))) (* -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)
(* b (* r (+ 1 (* 1/2 (pow a 2)))))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r) b)
(/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b))))
(* r (+ 1 (/ (* a (sin b)) (cos b))))
(fma.f64 (*.f64 (sin.f64 b) r) (/.f64 a (cos.f64 b)) r)
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ (* r (+ 1 (/ (* a (sin b)) (cos b)))) (cos b))
(*.f64 (fma.f64 (sin.f64 b) (/.f64 a (cos.f64 b)) #s(literal 1 binary64)) (/.f64 r (cos.f64 b)))
(* a (* r (sin b)))
(.f64 (.f64 (sin.f64 b) a) r)
(/ (* a (* r (sin b))) (cos b))
(.f64 (.f64 (sin.f64 b) r) (/.f64 a (cos.f64 b)))
(* -1 (* r (- (* -1 (/ (* a (sin b)) (cos b))) 1)))
(.f64 (neg.f64 r) (-.f64 (.f64 (neg.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) #s(literal 1 binary64)))
(* -1 (/ (* r (- (* -1 (/ (* a (sin b)) (cos b))) 1)) (cos b)))
(.f64 (neg.f64 r) (/.f64 (-.f64 (.f64 (neg.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) #s(literal 1 binary64)) (cos.f64 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 (fma.f64 (neg.f64 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)))) (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
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(.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)))))))
(.f64 (fma.f64 (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 b) r) b)
b
(* b (+ 1 (* -1/6 (pow b 2))))
(.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 b b)) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)
(cos a)
(cos.f64 a)
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (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))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a))
(+ a (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) a)
(/ (* b r) (sin (+ a (* 1/2 (PI)))))
(/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
(* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))
(.f64 (fma.f64 (neg.f64 b) (.f64 r (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))) (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b)
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))) b (.f64 (neg.f64 r) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (.f64 (.f64 r (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))) #s(literal 1/3 binary64))) (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))) b (.f64 (neg.f64 r) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b)
(+ r (* a (* b r)))
(*.f64 (fma.f64 a b #s(literal 1 binary64)) r)
(+ r (* b (+ (* a r) (* (pow b 2) (- (* -1/6 (* a r)) (* -1/2 (* a r)))))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 a r) #s(literal 1/3 binary64)) b) b (.f64 a r)) b r)
(+ r (* b (+ (* a r) (* (pow b 2) (- (+ (* -1/6 (* a r)) (* (pow b 2) (- (* 1/120 (* a r)) (+ (* -1/2 (- (* -1/6 (* a r)) (* -1/2 (* a r)))) (* 1/24 (* a r)))))) (* -1/2 (* a r)))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 a r) #s(literal 1/120 binary64)) (fma.f64 (.f64 a r) #s(literal -1/6 binary64) (.f64 (.f64 a r) #s(literal 1/24 binary64)))) (.f64 b b) (.f64 (.f64 a r) #s(literal 1/3 binary64))) (.f64 b b) (.f64 a r)) b r)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(+ (/ 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 (neg.f64 b) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))) (.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 (-.f64 (.f64 (neg.f64 b) (fma.f64 (.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (sin.f64 a) (cos.f64 a))))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (.f64 #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)))
(+ r (* b (+ (* 1/2 (* b r)) (* a r))))
(fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) b a)) b r)
(+ r (* b (+ (* a r) (* b (- (* b (- (* -1/6 (* a r)) (* -1 (* a r)))) (* -1/2 r))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 (.f64 a r) #s(literal 5/6 binary64)) b)) b (.f64 a r)) b r)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (.f64 (cos.f64 a) (fma.f64 (.f64 #s(literal 1/24 binary64) b) b #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 (.f64 (cos.f64 a) (fma.f64 (.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64))) (.f64 b b) (.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a))
(sin (+ a (* 1/2 (PI))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
(+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))
(fma.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
(+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) b) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal -1/2 binary64))) b (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
(/ (+ a (* 1/2 (PI))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b)
(* a (* b r))
(.f64 (.f64 a r) b)
(* b (+ (* -1/6 (* a (* (pow b 2) r))) (* a r)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 a r) #s(literal -1/6 binary64)) b) b (*.f64 a r)) b)
(* b (+ (* a r) (* (pow b 2) (+ (* -1/6 (* a r)) (* 1/120 (* a (* (pow b 2) r)))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 b b) r) a) #s(literal 1/120 binary64) (.f64 (.f64 a r) #s(literal -1/6 binary64))) b) b (.f64 a r)) b)
(* b (+ (* a r) (* (pow b 2) (+ (* -1/6 (* a r)) (* (pow b 2) (+ (* -1/5040 (* a (* (pow b 2) r))) (* 1/120 (* a r))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 b b) r) a) #s(literal -1/5040 binary64) (.f64 (.f64 a r) #s(literal 1/120 binary64))) b) b (.f64 (.f64 a r) #s(literal -1/6 binary64))) (.f64 b b) (*.f64 a r)) b)
(* b (+ (* a r) (* (pow b 2) (- (* -1/6 (* a r)) (* -1/2 (* a r))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 a r) #s(literal 1/3 binary64)) b) b (*.f64 a r)) b)
(* b (+ (* a r) (* (pow b 2) (- (+ (* -1/6 (* a r)) (* (pow b 2) (- (* 1/120 (* a r)) (+ (* -1/2 (- (* -1/6 (* a r)) (* -1/2 (* a r)))) (* 1/24 (* a r)))))) (* -1/2 (* a r))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 a r) #s(literal 1/120 binary64)) (fma.f64 (.f64 a r) #s(literal -1/6 binary64) (.f64 (.f64 a r) #s(literal 1/24 binary64)))) (.f64 b b) (.f64 (.f64 a r) #s(literal 1/3 binary64))) (.f64 b b) (*.f64 a r)) b)
(* b (+ (* a r) (* (pow b 2) (- (+ (* -1/6 (* a r)) (* (pow b 2) (- (+ (* 1/120 (* a r)) (* (pow b 2) (- (* -1/5040 (* a r)) (+ (* -1/2 (- (* 1/120 (* a r)) (+ (* -1/2 (- (* -1/6 (* a r)) (* -1/2 (* a r)))) (* 1/24 (* a r))))) (+ (* -1/720 (* a r)) (* 1/24 (- (* -1/6 (* a r)) (* -1/2 (* a r))))))))) (+ (* -1/2 (- (* -1/6 (* a r)) (* -1/2 (* a r)))) (* 1/24 (* a r)))))) (* -1/2 (* a r))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 a r) #s(literal -1/5040 binary64)) (fma.f64 (-.f64 (.f64 (.f64 a r) #s(literal 1/120 binary64)) (fma.f64 (.f64 a r) #s(literal -1/6 binary64) (.f64 (.f64 a r) #s(literal 1/24 binary64)))) #s(literal -1/2 binary64) (fma.f64 (.f64 a r) #s(literal 1/72 binary64) (.f64 (.f64 a r) #s(literal -1/720 binary64))))) (.f64 b b) (-.f64 (.f64 (.f64 a r) #s(literal 1/120 binary64)) (fma.f64 (.f64 a r) #s(literal -1/6 binary64) (.f64 (.f64 a r) #s(literal 1/24 binary64))))) (.f64 b b) (.f64 (.f64 a r) #s(literal 1/3 binary64))) (.f64 b b) (.f64 a r)) b)
(sin b)
(sin.f64 b)
(* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) b b)
(/ (+ r (/ (* a (* r (sin b))) (cos b))) (cos b))
(*.f64 (fma.f64 (sin.f64 b) (/.f64 a (cos.f64 b)) #s(literal 1 binary64)) (/.f64 r (cos.f64 b)))
(* -1 (* b (sin a)))
(*.f64 (neg.f64 b) (sin.f64 a))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 a) (/.f64 (cos.f64 a) b)) b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b)) #s(literal 1 binary64)))
(/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b))))
(/ r (cos (- a (* -1 b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(*.f64 (neg.f64 b) (-.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)))
(sin (- (+ a (* 1/2 (PI))) (* -1 b)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))

rewrite235.0ms (2.7%)

Memory

-25.3MiB live, 163.2MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	287
0	86	287
1	310	270
2	2214	270
0	8178	266

Stop Event

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

Counts

23 → 257

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

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

eval106.0ms (1.2%)

Memory: -0.5MiB live, 101.6MiB allocated; 9ms collecting garbage
Compiler: Compiled 12 977 to 2 015 computations (84.5% saved)

prune101.0ms (1.1%)

Memory

-3.8MiB live, 88.0MiB allocated; 7ms collecting garbage

Pruning

73 alts after pruning (65 fresh and 8 done)

	Pruned	Kept	Total
New	397	15	412
Fresh	5	50	55
Picked	2	3	5
Done	1	5	6
Total	405	73	478

Accuracy

99.9%

Counts

478 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.6%	(/.f64 (.f64 r (.f64 (cos.f64 (-.f64 b a)) (sin.f64 b))) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
✓	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))))
	60.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b)))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
	68.1%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
	63.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
	77.6%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))))))
	99.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.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 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a)))))))
	63.4%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (cos.f64 (.f64 b (/.f64 b (-.f64 a b))))) (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 a (/.f64 a (-.f64 a b))))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
	24.2%	(/.f64 (.f64 r (sin.f64 b)) (sin.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 a a (.f64 b (-.f64 b a))) (PI.f64))) (.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) #s(literal 2 binary64)))))
	42.4%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b)))
	18.1%	(/.f64 (.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b (.f64 a b)) (.f64 b b)) b b))))
	42.0%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b)))))
	40.6%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
	41.9%	(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
	15.0%	(/.f64 (.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 #s(approx (/ (+ ( (PI) 1/2) a) b) (/.f64 a b)) b b))))
	60.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
	62.1%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 b)))
	55.7%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a)))
	52.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx ( (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a))))
✓	40.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))
	35.3%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	35.2%	(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	35.5%	(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	36.3%	(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))
	35.4%	(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (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 b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	35.2%	(/.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)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
	51.5%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
	51.7%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
	36.3%	(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))
	51.6%	(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
	77.7%	(.f64 (/.f64 (/.f64 r (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 a b))) (.f64 (cos.f64 (-.f64 b a)) (sin.f64 b)))
	77.6%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
	77.6%	(.f64 (/.f64 (.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))) (sin.f64 (-.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
	35.7%	(*.f64 (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) b b)))) r)
	77.7%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	53.8%	(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))) r)
	37.5%	(.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b))))) r)
✓	77.7%	(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
	63.6%	(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
	99.4%	(.f64 (.f64 (/.f64 r (fma.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a)) (.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a))))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	42.0%	(.f64 (.f64 (/.f64 r (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (cos.f64 (+.f64 (+.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	42.1%	(.f64 (.f64 (/.f64 r (/.f64 (+.f64 (sin.f64 (-.f64 (-.f64 a (-.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 a b))) (sin.f64 (+.f64 (-.f64 a (-.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 a b)))) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	99.4%	(.f64 (.f64 (/.f64 r (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 b a))) (.f64 (.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 (-.f64 b a))))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	41.8%	(.f64 (.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	41.5%	(.f64 (.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))) (sin.f64 b))
	42.4%	(.f64 (.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))) (sin.f64 b))
	51.0%	(.f64 (.f64 (/.f64 r (.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) #s(approx (sin b) (.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
	63.7%	(.f64 (.f64 (/.f64 r #s(approx (* (cos (+ a b)) (cos (- a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	57.4%	(.f64 (.f64 (/.f64 r #s(approx (* (cos (+ a b)) (cos (- a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) (sin.f64 b))
	77.0%	(.f64 (.f64 (*.f64 (/.f64 r (+.f64 (cos.f64 (-.f64 (+.f64 a b) (-.f64 a b))) (cos.f64 (-.f64 (+.f64 (+.f64 a b) a) b)))) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (sin.f64 b))
	35.7%	(*.f64 (sin.f64 b) (/.f64 r (sin.f64 #s(approx (+ (+ (/ (PI) 2) b) a) (fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) b b)))))
	53.8%	(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
	58.7%	(.f64 (sin.f64 b) #s(approx (/ r (cos (+ a b))) (/.f64 (fma.f64 (/.f64 r (cos.f64 b)) (.f64 a (sin.f64 b)) r) (cos.f64 b))))
	62.1%	(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 b))) (sin.f64 b))
	55.7%	(*.f64 #s(approx (/ r (cos (+ a b))) (/.f64 r (cos.f64 a))) (sin.f64 b))
	34.0%	(.f64 #s(approx (/ r (cos (+ a b))) #s(approx (/ (+ (/ ( (* (sin b) a) r) (cos b)) r) (cos b)) (fma.f64 (*.f64 r (fma.f64 #s(literal 1/2 binary64) b a)) b r))) (sin.f64 b))
	60.3%	#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (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)))))
	38.1%	#s(approx (/ (* r (sin b)) (sin (+ (+ (/ (PI) 2) b) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
✓	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
	35.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
	35.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
	35.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
	26.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
	27.2%	#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))
	51.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
✓	30.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
	12.8%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 #s(approx (+ ( (* 1/2 a) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
✓	36.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
	18.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) r (.f64 (/.f64 r a) (/.f64 b a))) (.f64 a a)))))
	17.2%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b r)) a) a))))

Compiler

Compiled 4 670 to 1 870 computations (60% saved)

regimes168.0ms (1.9%)

Memory

-8.5MiB live, 93.9MiB allocated; 48ms collecting garbage

Counts

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

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

Calls

4 calls:

56.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
56.0ms	a
25.0ms	r
25.0ms	b

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes111.0ms (1.3%)

Memory

7.5MiB live, 53.6MiB allocated; 1ms collecting garbage

Counts

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

42.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
22.0ms	r
22.0ms	a
21.0ms	b

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes136.0ms (1.6%)

Memory

9.9MiB live, 106.2MiB allocated; 15ms collecting garbage

Counts

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

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

Calls

4 calls:

61.0ms	r
28.0ms	a
21.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
21.0ms	b

Results

Accuracy	Segments	Branch
77.7%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
77.7%	1	`r`
77.7%	1	`a`
77.7%	1	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes58.0ms (0.7%)

Memory

3.7MiB live, 49.9MiB allocated; 2ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

25.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
10.0ms	r
10.0ms	a
10.0ms	b

Results

Accuracy	Segments	Branch
77.0%	3	`b`
62.1%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
77.2%	3	`a`
62.1%	1	`r`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes11.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
77.2%	3	`a`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes25.0ms (0.3%)

Memory

-16.0MiB live, 30.2MiB allocated; 3ms collecting garbage

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

Outputs

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

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

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

Calls

2 calls:

15.0ms	a
8.0ms	b

Results

Accuracy	Segments	Branch
77.0%	3	`b`
75.4%	3	`a`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes43.0ms (0.5%)

Memory

13.8MiB live, 58.5MiB allocated; 4ms collecting garbage

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

Outputs

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

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

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

Calls

4 calls:

18.0ms	a
8.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
8.0ms	r
8.0ms	b

Results

Accuracy	Segments	Branch
51.6%	1	`r`
51.6%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
51.6%	1	`a`
55.3%	3	`b`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes36.0ms (0.4%)

Memory

-25.8MiB live, 26.8MiB allocated; 7ms collecting garbage

Counts

21 → 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))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b r)) a) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 #s(approx (+ ( (* 1/2 a) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))
(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) r (.f64 (/.f64 r a) (/.f64 b a))) (.f64 a a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.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)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (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 b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#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)))

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

Calls

3 calls:

22.0ms	a
6.0ms	r
6.0ms	b

Results

Accuracy	Segments	Branch
51.6%	1	`r`
51.6%	1	`a`
51.6%	1	`b`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes38.0ms (0.4%)

Memory

0.7MiB live, 47.7MiB allocated; 2ms collecting garbage

Counts

19 → 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))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b r)) a) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 #s(approx (+ ( (* 1/2 a) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))
(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) r (.f64 (/.f64 r a) (/.f64 b a))) (.f64 a a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.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)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (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 b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))

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

Calls

4 calls:

21.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms	b
5.0ms	r
5.0ms	a

Results

Accuracy	Segments	Branch
51.6%	1	`b`
51.6%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
51.6%	1	`r`
51.6%	1	`a`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes25.0ms (0.3%)

Memory

-3.2MiB live, 42.9MiB allocated; 2ms collecting garbage

Accuracy

Total -18.8b remaining (-46.3%)

Threshold costs -18.8b (-46.3%)

Counts

18 → 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))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b r)) a) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 #s(approx (+ ( (* 1/2 a) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))
(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 a a)) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) #s(approx (* (+ (* (* 1/2 a) a) 1) (* b r)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) r (.f64 (/.f64 r a) (/.f64 b a))) (.f64 a a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.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)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
(/.f64 (.f64 r #s(approx (sin b) (.f64 (fma.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 b b) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))
(/.f64 #s(approx (* r (sin b)) (.f64 (fma.f64 (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 b) r) b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) (-.f64 #s(literal 1 binary64) (*.f64 a b)))))

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

Calls

4 calls:

9.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms	a
5.0ms	r
5.0ms	b

Results

Accuracy	Segments	Branch
36.7%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
36.7%	1	`b`
36.7%	1	`r`
36.7%	1	`a`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch54.0ms (0.6%)

Memory

27.3MiB live, 73.2MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.5045016067521785e-16	3.134971420489731e-7
19.0ms	-0.3360229020445051	-1.9637684977641595e-5

Samples

30.0ms	116×	1	valid
10.0ms	156×	0	valid

Compiler

Compiled 613 to 484 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-cos: 17.0ms (53.2% of total)

ival-sin: 6.0ms (18.8% of total)

adjust: 3.0ms (9.4% of total)

ival-add: 2.0ms (6.3% of total)

ival-div: 2.0ms (6.3% of total)

ival-mult: 2.0ms (6.3% of total)

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

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

bsearch2.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.5045016067521785e-16	3.134971420489731e-7
1.0ms	-0.3360229020445051	-1.9637684977641595e-5

Compiler

Compiled 709 to 524 computations (26.1% saved)

bsearch72.0ms (0.8%)

Memory

-15.0MiB live, 84.1MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1566.9907951169957	22497.59452520646
34.0ms	-11.094961222948543	-4.607829220980033e-10

Samples

36.0ms	123×	1	valid
23.0ms	133×	0	valid

Compiler

Compiled 540 to 446 computations (17.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 7.0ms (32.6% of total)

ival-sin: 5.0ms (23.3% of total)

adjust: 3.0ms (14% of total)

ival-add: 2.0ms (9.3% of total)

ival-div: 2.0ms (9.3% of total)

ival-mult: 2.0ms (9.3% of total)

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

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

bsearch75.0ms (0.9%)

Memory

16.9MiB live, 63.9MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	22497.59452520646	225479153286784.8
37.0ms	-11.094961222948543	-4.607829220980033e-10

Samples

53.0ms	221×	1	valid
6.0ms	67×	0	valid

Compiler

Compiled 732 to 614 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-cos: 27.0ms (54.7% of total)

ival-sin: 9.0ms (18.2% of total)

adjust: 6.0ms (12.1% of total)

ival-add: 3.0ms (6.1% of total)

ival-div: 3.0ms (6.1% of total)

ival-mult: 2.0ms (4% of total)

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

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

simplify81.0ms (0.9%)

Memory

-31.9MiB live, 66.3MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	291
1	130	290
2	198	274
3	288	270
4	428	270
5	1030	270
6	3282	270

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 a)) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 a #s(literal -3246626956972881/147573952589676412928 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 #s(approx (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (/.f64 r (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -3246626956972881/147573952589676412928 binary64)) (.f64 #s(approx ( (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (/.f64 r (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 #s(approx (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (/.f64 r (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 b #s(literal -208967022709991/144115188075855872 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 1600 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -2589569785738035/2251799813685248 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 11800000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#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 a)) (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 a #s(literal -3246626956972881/147573952589676412928 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 #s(approx (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (/.f64 r (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -3246626956972881/147573952589676412928 binary64)) (.f64 #s(approx ( (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (/.f64 r (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (.f64 #s(approx (* (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (/.f64 r (cos.f64 a))) (sin.f64 b))))
(if (or (<=.f64 a #s(literal -3246626956972881/147573952589676412928 binary64)) (not (<=.f64 a #s(literal 2833419889721787/9444732965739290427392 binary64)))) (.f64 #s(approx ( (/ r (* (cos (+ a b)) (cos (- a b)))) (cos (- a b))) (/.f64 r (cos.f64 a))) (sin.f64 b)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))
(if (<=.f64 b #s(literal -208967022709991/144115188075855872 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 1600 binary64)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (or (<=.f64 b #s(literal -208967022709991/144115188075855872 binary64)) (not (<=.f64 b #s(literal 1600 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) #s(approx (/ ( r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)))
(if (<=.f64 b #s(literal -2589569785738035/2251799813685248 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 11800000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 r (cos.f64 a)) b)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg (sin a)) b) (cos a)) #s(literal 1 binary64))))))
(if (or (<=.f64 b #s(literal -2589569785738035/2251799813685248 binary64)) (not (<=.f64 b #s(literal 11800000000 binary64)))) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ ( (neg (sin a)) b) (cos a)) #s(literal 1 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

derivations1.0s (11.7%)

Memory

71.1MiB live, 898.4MiB allocated; 190ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	629	3134
1	2330	2751
0	9008	2530
0	167	593
1	569	562
2	2016	518
3	7405	515
0	9145	482
0	8	19
0	13	19
1	46	19
2	266	19
3	2853	19
0	8286	19
0	390	1503
1	1398	1413
2	5621	1373
0	8068	1288
0	34	172
0	60	158
1	192	158
2	1311	158
0	9484	158

Stop Event

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

Compiler

Compiled 291 to 80 computations (72.5% saved)

preprocess77.0ms (0.9%)

Memory: -31.0MiB live, 64.9MiB allocated; 20ms collecting garbage
Remove: (negabs r)
Compiler: Compiled 632 to 200 computations (68.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze321.0ms (3.7%)

sample2.1s (23.7%)

explain198.0ms (2.3%)

preprocess180.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify110.0ms (1.3%)

localize48.0ms (0.5%)

series33.0ms (0.4%)

simplify192.0ms (2.2%)

rewrite405.0ms (4.6%)

eval24.0ms (0.3%)

prune20.0ms (0.2%)

simplify119.0ms (1.4%)

localize219.0ms (2.5%)

series55.0ms (0.6%)

simplify233.0ms (2.7%)

rewrite250.0ms (2.9%)

eval57.0ms (0.6%)

prune49.0ms (0.6%)

simplify102.0ms (1.2%)

localize291.0ms (3.3%)

series64.0ms (0.7%)

simplify273.0ms (3.1%)

rewrite177.0ms (2%)

eval81.0ms (0.9%)

prune70.0ms (0.8%)

simplify100.0ms (1.1%)

localize287.0ms (3.3%)

series59.0ms (0.7%)

simplify182.0ms (2.1%)

rewrite235.0ms (2.7%)

eval106.0ms (1.2%)

prune101.0ms (1.1%)

regimes168.0ms (1.9%)

regimes111.0ms (1.3%)

regimes136.0ms (1.6%)

regimes58.0ms (0.7%)

regimes11.0ms (0.1%)

regimes25.0ms (0.3%)

regimes43.0ms (0.5%)

regimes36.0ms (0.4%)

regimes38.0ms (0.4%)

regimes25.0ms (0.3%)

bsearch54.0ms (0.6%)

bsearch2.0ms (0%)

bsearch72.0ms (0.8%)

bsearch75.0ms (0.9%)

simplify81.0ms (0.9%)

derivations1.0s (11.7%)

preprocess77.0ms (0.9%)

end0.0ms (0%)

Profiling